Finite Group Databasebeta

← C43×#61609 #24981626

Subgroups — C43×#61609 #24981626

Order 11008.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3542C211yesmaximal, characteristic, complemented
2C43×#3484C211yesmaximal, characteristic, complemented
3C43×#3325C211yesmaximal, characteristic, complemented
4C43×#3322C211yesmaximal, characteristic, complemented
5C43×#3319C211yesmaximal, characteristic, complemented
6C43×#3318C211yesmaximal, characteristic, complemented
7C43×#3310C211yesmaximal, characteristic, complemented
8C43×#3306C211yesmaximal, characteristic, complemented
9C43×#3296C211yesmaximal, characteristic, complemented
10C43×#3294C211yesmaximal, characteristic, complemented
11C43×#3280C211yesmaximal, characteristic, complemented
12D4×D8×C43C211yesmaximal, characteristic, complemented
13C43×#3274C211yesmaximal, characteristic, complemented
14C43×#3273C211yesmaximal, characteristic, complemented
15C43×#3268C211yesmaximal, characteristic, complemented
16C43×#3264C211yesmaximal, characteristic, complemented
17C43×#3264C211yesmaximal, characteristic, complemented
18C43×#3264C211yesmaximal, characteristic, complemented
19C43×#3224C211yesmaximal, characteristic, complemented
20C43×#3220C211yesmaximal, characteristic, complemented
21C43×#3199C211yesmaximal, characteristic, complemented
22C43×#3198C211yesmaximal, characteristic, complemented
23C43×#3194C211yesmaximal, characteristic, complemented
24C43×#3191C211yesmaximal, characteristic, complemented
25C43×#3122C211yesmaximal, characteristic, complemented
26C43×#3118C211yesmaximal, characteristic, complemented
27C43×#3012C211yesmaximal, characteristic, complemented
28C43×#3008C211yesmaximal, characteristic, complemented
29C43×#3003C211yesmaximal, characteristic, complemented
30C2×C43×#447C211yesmaximal, characteristic, complemented
31C43×#2976C211yesmaximal, characteristic, complemented
32C2×H(5,𝔽2)×C43C2211yescharacteristic, complemented
33C23×D4×C43C2211yescharacteristic, complemented
34C2×AGL(1,ℤ/8)×C43C2211yescharacteristic, complemented
35C2×AGL(1,ℤ/8)×C43C2211yescharacteristic, complemented
36C2×AGL(1,ℤ/8)×C43C2211yescharacteristic, complemented
37C2×AGL(1,ℤ/8)×C43C2211yescharacteristic, complemented
38C2×#135×C43C2211yescharacteristic, complemented
39C22×D8×C43C2211yescharacteristic, complemented
40C22×D8×C43C2211yescharacteristic, complemented
41C22×D8×C43C2211yescharacteristic, complemented
42C43×#562—21no—
43C43×#560—21no—
44C43×#555C2211yescharacteristic, complemented
45C43×#553C2211yescharacteristic, complemented
46C43×#552C2211yescharacteristic, complemented
47C43×#551—21no—
48C43×#550C2211yescharacteristic, complemented
49C43×#547C2211yescharacteristic, complemented
50C43×#546—21no—
51C43×#546—21no—
52C43×#546—21no—
53C43×#546C2211yescharacteristic
54C43×#546C2211yescharacteristic, complemented
55C43×#546C2211yescharacteristic, complemented
56C43×#546C2211yescharacteristic, complemented
57C43×#546C2211yescharacteristic, complemented
58C43×#546C2211yescharacteristic, complemented
59D42×C43—21no—
60D42×C43—21no—
61D42×C43C2211yescharacteristic
62D42×C43C2211yescharacteristic, complemented
63D42×C43C2211yescharacteristic, complemented
64D42×C43C2211yescharacteristic, complemented
65D42×C43C2211yescharacteristic, complemented
66C43×#542C2211yescharacteristic, complemented
67C43×#540—21no—
68C43×#540C2211yescharacteristic, complemented
69C43×#538—21no—
70C43×#537C2211yescharacteristic, complemented
71C43×#535—21no—
72C43×#535C2211yescharacteristic, complemented
73C43×#535C2211yescharacteristic, complemented
74C43×#535C2211yescharacteristic, complemented
75C43×#534—21no—
76C43×#534—21no—
77C43×#534—21no—
78C43×#525C2211yescharacteristic
79C43×#525C2211yescharacteristic, complemented
80C43×#525C2211yescharacteristic, complemented
81C2×#121×C43C2211yescharacteristic, complemented
82C2×#120×C43—21no—
83C2×#120×C43—21no—
84C43×#518C2211yescharacteristic, complemented
85C43×#496C2211yescharacteristic, complemented
86C43×#496C2211yescharacteristic, complemented
87C43×#495C2211yescharacteristic, complemented
88C43×#493C2211yescharacteristic, complemented
89C43×#490C2211yescharacteristic, complemented
90C43×#489C2211yescharacteristic, complemented
91C43×#488C2211yescharacteristic, complemented
92C43×#486C2211yescharacteristic, complemented
93C43×#485C2211yescharacteristic, complemented
94C43×#485C2211yescharacteristic, complemented
95C43×#483C2211yescharacteristic, complemented
96C43×#482C2211yescharacteristic, complemented
97C43×#482C2211yescharacteristic, complemented
98C43×#482C2211yescharacteristic, complemented
99C43×#482C2211yescharacteristic, complemented
100C43×#482C2211yescharacteristic, complemented
101C43×#482C2211yescharacteristic, complemented
102C43×#481C2211yescharacteristic, complemented
103C43×#480C2211yescharacteristic, complemented
104C43×#480C2211yescharacteristic, complemented
105C43×#478C2211yescharacteristic, complemented
106C43×#478C2211yescharacteristic, complemented
107C43×#476C2211yescharacteristic, complemented
108C43×#474C2211yescharacteristic, complemented
109C43×#469C2211yescharacteristic, complemented
110C43×#469C2211yescharacteristic, complemented
111C43×#469C2211yescharacteristic, complemented
112C43×#469C2211yescharacteristic, complemented
113C43×#469C2211yescharacteristic, complemented
114C43×#468C2211yescharacteristic, complemented
115C43×#468C2211yescharacteristic, complemented
116C43×#468C2211yescharacteristic, complemented
117C43×#467C2211yescharacteristic, complemented
118C43×#466C2211yescharacteristic, complemented
119C43×#466C2211yescharacteristic, complemented
120C43×#466C2211yescharacteristic, complemented
121C43×#466C2211yescharacteristic, complemented
122C43×#465C2211yescharacteristic, complemented
123C43×#465C2211yescharacteristic, complemented
124C43×#465C2211yescharacteristic, complemented
125C43×#464C2211yescharacteristic, complemented
126C43×#463C2211yescharacteristic, complemented
127C43×#463C2211yescharacteristic, complemented
128C43×#463C2211yescharacteristic, complemented
129C43×#463C2211yescharacteristic, complemented
130C43×#463C2211yescharacteristic, complemented
131C43×#460C2211yescharacteristic, complemented
132C43×#459C2211yescharacteristic, complemented
133C43×#459C2211yescharacteristic, complemented
134C43×#459C2211yescharacteristic, complemented
135C43×#459C2211yescharacteristic, complemented
136C43×#459C2211yescharacteristic, complemented
137C43×#452C2211yescharacteristic, complemented
138C43×#452C2211yescharacteristic, complemented
139C43×#452C2211yescharacteristic, complemented
140C43×#450C2211yescharacteristic, complemented
141C43×#450C2211yescharacteristic, complemented
142C43×#450C2211yescharacteristic, complemented
143C43×#450C2211yescharacteristic, complemented
144C43×#450C2211yescharacteristic, complemented
145C43×#450C2211yescharacteristic, complemented
146C43×#449C2211yescharacteristic, complemented
147C43×#449C2211yescharacteristic, complemented
148C43×#449C2211yescharacteristic, complemented
149C43×#449C2211yescharacteristic, complemented
150C43×#449C2211yescharacteristic, complemented
151C43×#449C2211yescharacteristic, complemented
152C43×#449C2211yescharacteristic, complemented
153C43×#449C2211yescharacteristic, complemented
154C43×#449C2211yescharacteristic, complemented
155C43×#447C2211yescharacteristic
156C43×#447C2211yescharacteristic, complemented
157C43×#447C2211yescharacteristic, complemented
158C43×#447C2211yescharacteristic, complemented
159C43×#447C2211yescharacteristic, complemented
160C43×#447C2211yescharacteristic, complemented
161C43×#447C2211yescharacteristic, complemented
162C43×#447C2211yescharacteristic, complemented
163C43×#447C2211yescharacteristic, complemented
164C43×#447C2211yescharacteristic, complemented
165C43×#447C2211yescharacteristic, complemented
166C43×#447C2211yescharacteristic, complemented
167C43×#447C2211yescharacteristic, complemented
168C43×#447C2211yescharacteristic, complemented
169C43×#447C2211yescharacteristic, complemented
170C43×#447C2211yescharacteristic, complemented
171C43×#447C2211yescharacteristic, complemented
172C43×#447C2211yescharacteristic, complemented
173C43×#442C2211yescharacteristic, complemented
174C43×#442C2211yescharacteristic, complemented
175C43×#442C2211yescharacteristic, complemented
176C43×#440C2211yescharacteristic, complemented
177C4×SD16×C43C2211yescharacteristic, complemented
178C4×D8×C43C2211yescharacteristic, complemented
179C4×D8×C43C2211yescharacteristic, complemented
180C4×D8×C43C2211yescharacteristic, complemented
181C43×#436C2211yescharacteristic, complemented
182C43×#436C2211yescharacteristic, complemented
183C43×#435C2211yescharacteristic, complemented
184C43×#435C2211yescharacteristic, complemented
185C43×#435C2211yescharacteristic, complemented
186C43×#435C2211yescharacteristic, complemented
187C8×D4×C43C2211yescharacteristic, complemented
188C8×D4×C43C2211yescharacteristic, complemented
189C43×#433C2211yescharacteristic, complemented
190C43×#433C2211yescharacteristic, complemented
191C43×#418C2211yescharacteristic, complemented
192C43×#418C2211yescharacteristic, complemented
193C43×#418C2211yescharacteristic, complemented
194C43×#417C2211yescharacteristic, complemented
195C43×#416C2211yescharacteristic, complemented
196C2×#102×C43C2211yescharacteristic, complemented
197C2×#102×C43C2211yescharacteristic, complemented
198C2×#102×C43C2211yescharacteristic, complemented
199C43×#408C2211yescharacteristic, complemented
200C43×#408C2211yescharacteristic, complemented
201C43×#407C2211yescharacteristic, complemented
202C2×C22⋊C8×C43C2211yescharacteristic, complemented
203C25×C43—21no—
204H(5,𝔽2)×C43—42no—
205H(5,𝔽2)×C43—42no—
206C2×#41×C43—21no—
207C2×#41×C43—21no—
208C2×#41×C43C2311yescharacteristic
209C2×#41×C43C2311yescharacteristic
210C2×#41×C43C2311yescharacteristic
211C2×#41×C43C2311yescharacteristic
212C2×#41×C43C2311yescharacteristic
213C2×#41×C43C2311yescharacteristic, complemented
214C22×D4×C43—21no—
215C22×D4×C43—21no—
216C22×D4×C43—21no—
217C22×D4×C43—21no—
218C22×D4×C43—21no—
219C22×D4×C43—21no—
220C22×D4×C43—21no—
221C22×D4×C43—21no—
222C22×D4×C43—21no—
223C22×D4×C43—21no—
224C22×D4×C43—21no—
225C22×D4×C43—21no—
226C22×D4×C43—42no—
227C22×D4×C43—42no—
228C22×D4×C43C2311yescharacteristic
229C22×D4×C43C2311yescharacteristic
230C22×D4×C43C2311yescharacteristic
231C22×D4×C43C2311yescharacteristic
232C22×D4×C43C2311yescharacteristic
233C22×D4×C43C2311yescharacteristic
234C22×D4×C43C2311yescharacteristic
235C22×D4×C43C2311yescharacteristic
236C22×D4×C43C2311yescharacteristic
237C22×D4×C43C2311yescharacteristic, complemented
238C23×C4×C43C2311yescharacteristic
239AGL(1,ℤ/8)×C43—42no—
240AGL(1,ℤ/8)×C43—42no—
241AGL(1,ℤ/8)×C43—42no—
242AGL(1,ℤ/8)×C43—42no—
243#135×C43—42no—
244C2×Q16×C43C2311yescharacteristic, complemented
245C2×SD16×C43C2311yescharacteristic
246C2×SD16×C43C2311yescharacteristic
247C2×SD16×C43C2311yescharacteristic
248C2×SD16×C43C2311yescharacteristic
249C2×SD16×C43C2311yescharacteristic, complemented
250C2×SD16×C43C2311yescharacteristic, complemented
251C2×SD16×C43C2311yescharacteristic, complemented
252C2×SD16×C43C2311yescharacteristic, complemented
253C2×D8×C43—42no—
254C2×D8×C43—42no—
255C2×D8×C43—42no—
256C2×D8×C43C2311yescharacteristic
257C2×D8×C43C2311yescharacteristic
258C2×D8×C43C2311yescharacteristic
259C2×D8×C43C2311yescharacteristic
260C2×D8×C43C2311yescharacteristic
261C2×D8×C43C2311yescharacteristic
262C2×D8×C43C2311yescharacteristic
263C2×D8×C43C2311yescharacteristic
264C2×D8×C43C2311yescharacteristic
265C2×D8×C43C2311yescharacteristic
266C2×D8×C43C2311yescharacteristic
267C2×D8×C43C2311yescharacteristic
268C2×D8×C43C2311yescharacteristic, complemented
269C2×D8×C43C2311yescharacteristic, complemented
270C2×D8×C43C2311yescharacteristic, complemented
271C2×M16×C43C2311yescharacteristic
272C2×M16×C43C2311yescharacteristic
273C2×M16×C43C2311yescharacteristic, complemented
274C2×M16×C43C2311yescharacteristic, complemented
275C22×C8×C43C2311yescharacteristic
276C22×C8×C43C2311yescharacteristic
277C22×C8×C43C2311yescharacteristic, complemented
278C22×C8×C43C2311yescharacteristic, complemented
279C4⋊Q8×C43C2311yescharacteristic, complemented
280#127×C43—21no—
281#127×C43—21no—
282#127×C43—21no—
283#127×C43C2311yescharacteristic
284#127×C43C2311yescharacteristic
285#127×C43C2311yescharacteristic, complemented
286#126×C43—21no—
287#126×C43—21no—
288#126×C43—21no—
289#125×C43—21no—
290#125×C43C2311yescharacteristic, complemented
291#124×C43—21no—
292#124×C43—21no—
293#124×C43—21no—
294#124×C43—21no—
295#124×C43—21no—
296#124×C43C2311yescharacteristic
297#124×C43C2311yescharacteristic
298#124×C43C2311yescharacteristic, complemented
299#123×C43—21no—
300#123×C43—21no—
301#123×C43—21no—
302#123×C43—21no—
303#123×C43—21no—
304#123×C43—21no—
305#123×C43—21no—
306#123×C43—21no—
307#123×C43—21no—
308#123×C43—21no—
309#123×C43—21no—
310#123×C43—21no—
311#123×C43—21no—
312#123×C43—21no—
313#123×C43—21no—
314#123×C43D411yescharacteristic
315#123×C43D411yescharacteristic
316C22⋊Q8×C43—21no—
317C22⋊Q8×C43—21no—
318C22⋊Q8×C43—21no—
319C22⋊Q8×C43D411yescharacteristic
320C22⋊Q8×C43D411yescharacteristic
321C22⋊Q8×C43C2311yescharacteristic
322C22⋊Q8×C43C2311yescharacteristic
323C22⋊Q8×C43C2311yescharacteristic
324C22⋊Q8×C43C2311yescharacteristic
325C22⋊Q8×C43C2311yescharacteristic, complemented
326#121×C43—21no—
327#121×C43—21no—
328#121×C43—21no—
329#121×C43—21no—
330#121×C43—21no—
331#121×C43—21no—
332#121×C43—21no—
333#121×C43—21no—
334#121×C43—21no—
335#121×C43—21no—
336#121×C43—21no—
337#121×C43—21no—
338#121×C43—21no—
339#121×C43—21no—
340#121×C43—21no—
341#121×C43—21no—
342#121×C43—21no—
343#121×C43—21no—
344#121×C43—21no—
345#121×C43—21no—
346#121×C43—21no—
347#121×C43—21no—
348#121×C43—21no—
349#121×C43—21no—
350#121×C43D411yescharacteristic
351#121×C43D411yescharacteristic
352#121×C43C2311yescharacteristic
353#121×C43C2311yescharacteristic
354#121×C43C2311yescharacteristic
355#121×C43C2311yescharacteristic
356#121×C43C2311yescharacteristic
357#121×C43C2311yescharacteristic
358#121×C43C2311yescharacteristic
359#121×C43C2311yescharacteristic
360#121×C43C2311yescharacteristic
361#121×C43C2311yescharacteristic
362#121×C43C2311yescharacteristic
363#121×C43C2311yescharacteristic
364#121×C43C2311yescharacteristic, complemented
365#121×C43C2311yescharacteristic, complemented
366#121×C43C2311yescharacteristic, complemented
367#120×C43—21no—
368#120×C43—21no—
369#120×C43—21no—
370#120×C43—21no—
371#120×C43—21no—
372#120×C43—21no—
373#120×C43—21no—
374#120×C43—21no—
375#120×C43—21no—
376#120×C43—21no—
377#120×C43—21no—
378#120×C43—21no—
379#120×C43—21no—
380#120×C43—21no—
381#120×C43—21no—
382#120×C43—21no—
383#120×C43—21no—
384#120×C43—21no—
385#120×C43—21no—
386#120×C43—21no—
387#120×C43—21no—
388#120×C43—21no—
389#120×C43—21no—
390#120×C43—21no—
391#120×C43D411yescharacteristic
392#120×C43D411yescharacteristic
393C4×Q8×C43C2311yescharacteristic, complemented
394C4×D4×C43—21no—
395C4×D4×C43—21no—
396C4×D4×C43—21no—
397C4×D4×C43—21no—
398C4×D4×C43—21no—
399C4×D4×C43—21no—
400C4×D4×C43—21no—
401C4×D4×C43—21no—
402C4×D4×C43C2311yescharacteristic
403C4×D4×C43C2311yescharacteristic
404C4×D4×C43C2311yescharacteristic
405C4×D4×C43C2311yescharacteristic
406C4×D4×C43C2311yescharacteristic
407C4×D4×C43C2311yescharacteristic
408C4×D4×C43C2311yescharacteristic
409C4×D4×C43C2311yescharacteristic
410C4×D4×C43C2311yescharacteristic, complemented
411C4×D4×C43C2311yescharacteristic, complemented
412C4×D4×C43C2311yescharacteristic, complemented
413#117×C43—21no—
414#117×C43—21no—
415#117×C43C2311yescharacteristic
416#117×C43C2311yescharacteristic
417#117×C43C2311yescharacteristic
418#117×C43C2311yescharacteristic, complemented
419C2×C4⋊C4×C43C2311yescharacteristic
420C2×C4⋊C4×C43C2311yescharacteristic, complemented
421C2×C22⋊C4×C43—21no—
422C2×C22⋊C4×C43—21no—
423C2×C22⋊C4×C43—21no—
424C2×C22⋊C4×C43—21no—
425C2×C22⋊C4×C43—21no—
426C2×C22⋊C4×C43—21no—
427C2×C22⋊C4×C43—21no—
428C2×C22⋊C4×C43—21no—
429C2×C22⋊C4×C43—21no—
430#107×C43C2311yescharacteristic, complemented
431#107×C43C2311yescharacteristic, complemented
432#107×C43C2311yescharacteristic, complemented
433#107×C43C2311yescharacteristic, complemented
434#106×C43C2311yescharacteristic, complemented
435#106×C43C2311yescharacteristic, complemented
436#106×C43C2311yescharacteristic, complemented
437#106×C43C2311yescharacteristic, complemented
438C4⋊C8×C43C2311yescharacteristic, complemented
439C4⋊C8×C43C2311yescharacteristic, complemented
440C4⋊C8×C43C2311yescharacteristic, complemented
441C4⋊C8×C43C2311yescharacteristic, complemented
442#103×C43C2311yescharacteristic, complemented
443#103×C43C2311yescharacteristic, complemented
444#103×C43C2311yescharacteristic, complemented
445#103×C43C2311yescharacteristic, complemented
446#103×C43C2311yescharacteristic, complemented
447#103×C43C2311yescharacteristic, complemented
448#102×C43C2311yescharacteristic
449#102×C43C2311yescharacteristic
450#102×C43C2311yescharacteristic
451#102×C43C2311yescharacteristic
452#102×C43C2311yescharacteristic
453#102×C43C2311yescharacteristic
454#102×C43C2311yescharacteristic
455#102×C43C2311yescharacteristic
456#102×C43C2311yescharacteristic
457#102×C43C2311yescharacteristic
458#102×C43C2311yescharacteristic
459#102×C43C2311yescharacteristic
460#102×C43C2311yescharacteristic
461#102×C43C2311yescharacteristic
462#102×C43C2311yescharacteristic
463#102×C43C2311yescharacteristic
464#102×C43C2311yescharacteristic, complemented
465#102×C43C2311yescharacteristic, complemented
466#102×C43C2311yescharacteristic, complemented
467#102×C43C2311yescharacteristic, complemented
468#102×C43C2311yescharacteristic, complemented
469#102×C43C2311yescharacteristic, complemented
470#102×C43C2311yescharacteristic, complemented
471#102×C43C2311yescharacteristic, complemented
472#102×C43C2311yescharacteristic, complemented
473#102×C43C2311yescharacteristic, complemented
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476C22⋊C8×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C22⋊C8×C43C2311yescharacteristic
481C22⋊C8×C43C2311yescharacteristic
482C22⋊C8×C43C2311yescharacteristic, complemented
483C22⋊C8×C43C2311yescharacteristic, complemented
484C22⋊C8×C43C2311yescharacteristic, complemented
485C22⋊C8×C43C2311yescharacteristic, complemented
486#97×C43C2311yescharacteristic, complemented
487#97×C43C2311yescharacteristic, complemented
488C4×C8×C43C2311yescharacteristic, complemented
489C4×C8×C43C2311yescharacteristic, complemented
490C24×C43—21no—
491C24×C43—21no—
492C24×C43—21no—
493C24×C43—21no—
494C24×C43—21no—
495C24×C43—21no—
496C24×C43—21no—
497C24×C43—21no—
498C24×C43—21no—
499C24×C43—21no—
500C24×C43—44no—
501C24×C43—82no—
502C24×C43—82no—
503C24×C43C2×D411yescharacteristic
504#41×C43—22no—
505#41×C43—22no—
506#41×C43—41no—
507#41×C43—41no—
508#41×C43—41no—
509#41×C43—41no—
510#41×C43—41no—
511#41×C43—41no—
512#41×C43—41no—
513#41×C43—41no—
514#41×C43—41no—
515#41×C43—41no—
516#41×C43—44no—
517#41×C43—82no—
518C2×Q8×C43—21no—
519C2×Q8×C43C2×D411yescharacteristic
520C2×Q8×C43C2411yescharacteristic
521C2×Q8×C43C2411yescharacteristic
522C2×D4×C43—22no—
523C2×D4×C43—22no—
524C2×D4×C43—21no—
525C2×D4×C43—21no—
526C2×D4×C43—21no—
527C2×D4×C43—21no—
528C2×D4×C43—21no—
529C2×D4×C43—21no—
530C2×D4×C43—21no—
531C2×D4×C43—21no—
532C2×D4×C43—21no—
533C2×D4×C43—21no—
534C2×D4×C43—21no—
535C2×D4×C43—21no—
536C2×D4×C43—21no—
537C2×D4×C43—21no—
538C2×D4×C43—21no—
539C2×D4×C43—21no—
540C2×D4×C43—21no—
541C2×D4×C43—21no—
542C2×D4×C43—21no—
543C2×D4×C43—21no—
544C2×D4×C43—21no—
545C2×D4×C43—21no—
546C2×D4×C43—21no—
547C2×D4×C43—21no—
548C2×D4×C43—21no—
549C2×D4×C43—21no—
550C2×D4×C43—21no—
551C2×D4×C43—21no—
552C2×D4×C43—21no—
553C2×D4×C43—21no—
554C2×D4×C43—21no—
555C2×D4×C43—21no—
556C2×D4×C43—21no—
557C2×D4×C43—21no—
558C2×D4×C43—21no—
559C2×D4×C43—21no—
560C2×D4×C43—22no—
561C2×D4×C43—22no—
562C2×D4×C43—22no—
563C2×D4×C43—22no—
564C2×D4×C43—22no—
565C2×D4×C43—22no—
566C2×D4×C43—44no—
567C2×D4×C43—44no—
568C2×D4×C43—44no—
569C2×D4×C43—41no—
570C2×D4×C43—41no—
571C2×D4×C43—41no—
572C2×D4×C43—41no—
573C2×D4×C43—41no—
574C2×D4×C43—41no—
575C2×D4×C43—41no—
576C2×D4×C43—41no—
577C2×D4×C43—44no—
578C2×D4×C43—44no—
579C2×D4×C43—44no—
580C2×D4×C43—41no—
581C2×D4×C43—41no—
582C2×D4×C43—41no—
583C2×D4×C43—41no—
584C2×D4×C43—82no—
585C2×D4×C43—82no—
586C2×D4×C43—82no—
587C2×D4×C43—82no—
588C2×D4×C43—82no—
589C2×D4×C43—82no—
590C2×D4×C43C2×D411yescharacteristic
591C2×D4×C43C2×D411yescharacteristic
592C2×D4×C43C2×D411yescharacteristic
593C2×D4×C43C2×D411yescharacteristic
594C2×D4×C43C2×D411yescharacteristic
595C2×D4×C43C2×D411yescharacteristic
596C2×D4×C43C2×D411yescharacteristic
597C2×D4×C43C2411yescharacteristic
598C2×D4×C43C2411yescharacteristic
599C2×D4×C43C2411yescharacteristic
600C2×D4×C43C2411yescharacteristic
601C2×D4×C43C2411yescharacteristic
602C2×D4×C43C2411yescharacteristic
603C2×D4×C43C2411yescharacteristic
604C2×D4×C43C2411yescharacteristic
605C22×C4×C43—21no—
606C22×C4×C43—21no—
607C22×C4×C43—21no—
608C22×C4×C43—21no—
609C22×C4×C43—21no—
610C22×C4×C43—21no—
611C22×C4×C43—21no—
612C22×C4×C43—21no—
613C22×C4×C43—21no—
614C22×C4×C43—21no—
615C22×C4×C43—21no—
616C22×C4×C43—21no—
617C22×C4×C43—21no—
618C22×C4×C43—21no—
619C22×C4×C43—41no—
620C22×C4×C43—41no—
621C22×C4×C43C2×D411yescharacteristic
622C22×C4×C43C2×D411yescharacteristic
623C22×C4×C43C2×D411yescharacteristic
624C22×C4×C43C2411yescharacteristic
625C22×C4×C43C2411yescharacteristic
626C22×C4×C43C2411yescharacteristic
627C22×C4×C43C2411yescharacteristic
628C22×C4×C43C2411yescharacteristic
629Q16×C43—41no—
630SD16×C43—22no—
631SD16×C43—22no—
632SD16×C43—41no—
633SD16×C43—41no—
634SD16×C43—41no—
635SD16×C43—41no—
636SD16×C43—41no—
637SD16×C43—41no—
638D8×C43—22no—
639D8×C43—22no—
640D8×C43—22no—
641D8×C43—22no—
642D8×C43—22no—
643D8×C43—22no—
644D8×C43—41no—
645D8×C43—41no—
646D8×C43—41no—
647D8×C43—41no—
648D8×C43—41no—
649D8×C43—41no—
650D8×C43—41no—
651D8×C43—41no—
652D8×C43—41no—
653M16×C43—41no—
654M16×C43—41no—
655M16×C43—41no—
656M16×C43—41no—
657C2×C8×C43—41no—
658C2×C8×C43—41no—
659C2×C8×C43—41no—
660C2×C8×C43—41no—
661C2×C8×C43C2411yescharacteristic
662C2×C8×C43C2411yescharacteristic
663C2×C8×C43C2411yescharacteristic
664C2×C8×C43C2411yescharacteristic
665C2×C8×C43C2411yescharacteristic
666C2×C8×C43C2411yescharacteristic
667C2×C8×C43C2411yescharacteristic
668C2×C8×C43C2411yescharacteristic
669C4⋊C4×C43—21no—
670C4⋊C4×C43—21no—
671C4⋊C4×C43—21no—
672C4⋊C4×C43—21no—
673C4⋊C4×C43—21no—
674C4⋊C4×C43—21no—
675C4⋊C4×C43—21no—
676C4⋊C4×C43—21no—
677C4⋊C4×C43—21no—
678C4⋊C4×C43—21no—
679C4⋊C4×C43—21no—
680C4⋊C4×C43C2×D411yescharacteristic
681C4⋊C4×C43C2×D411yescharacteristic
682C4⋊C4×C43C2×D411yescharacteristic
683C4⋊C4×C43C2×D411yescharacteristic
684C4⋊C4×C43C2×D411yescharacteristic
685C4⋊C4×C43C2×D411yescharacteristic
686C4⋊C4×C43C2411yescharacteristic
687C4⋊C4×C43C2411yescharacteristic
688C4⋊C4×C43C2411yescharacteristic
689C4⋊C4×C43C2411yescharacteristic
690C4⋊C4×C43C2411yescharacteristic
691C4⋊C4×C43C2411yescharacteristic
692C22⋊C4×C43—21no—
693C22⋊C4×C43—21no—
694C22⋊C4×C43—21no—
695C22⋊C4×C43—21no—
696C22⋊C4×C43—21no—
697C22⋊C4×C43—21no—
698C22⋊C4×C43—21no—
699C22⋊C4×C43—21no—
700C22⋊C4×C43—21no—
701C22⋊C4×C43—21no—
702C22⋊C4×C43—21no—
703C22⋊C4×C43—21no—
704C22⋊C4×C43—21no—
705C22⋊C4×C43—21no—
706C22⋊C4×C43—21no—
707C22⋊C4×C43—21no—
708C22⋊C4×C43—21no—
709C22⋊C4×C43—21no—
710C22⋊C4×C43—21no—
711C22⋊C4×C43—21no—
712C22⋊C4×C43—21no—
713C22⋊C4×C43—21no—
714C22⋊C4×C43—21no—
715C22⋊C4×C43—21no—
716C22⋊C4×C43—21no—
717C22⋊C4×C43—21no—
718C22⋊C4×C43—21no—
719C22⋊C4×C43—21no—
720C22⋊C4×C43—21no—
721C22⋊C4×C43—21no—
722C22⋊C4×C43—21no—
723C22⋊C4×C43—21no—
724C22⋊C4×C43—21no—
725C22⋊C4×C43—21no—
726C22⋊C4×C43—21no—
727C22⋊C4×C43—21no—
728C22⋊C4×C43C2×D411yescharacteristic
729C22⋊C4×C43C2×D411yescharacteristic
730C22⋊C4×C43C2×D411yescharacteristic
731C22⋊C4×C43C2×D411yescharacteristic
732C22⋊C4×C43C2×D411yescharacteristic
733C22⋊C4×C43C2×D411yescharacteristic
734C22⋊C4×C43C2×D411yescharacteristic
735C22⋊C4×C43C2×D411yescharacteristic
736C22⋊C4×C43C2×D411yescharacteristic
737C22⋊C4×C43C2×D411yescharacteristic
738C42×C43—21no—
739C42×C43—21no—
740C42×C43—21no—
741C42×C43—21no—
742C42×C43C2411yescharacteristic
743C42×C43C2411yescharacteristic
744C23×C43—24no—
745C23×C43—22no—
746C23×C43—21no—
747C23×C43—21no—
748C23×C43—21no—
749C23×C43—21no—
750C23×C43—21no—
751C23×C43—21no—
752C23×C43—21no—
753C23×C43—21no—
754C23×C43—41no—
755C23×C43—41no—
756C23×C43—42no—
757C23×C43—42no—
758C23×C43—42no—
759C23×C43—42no—
760C23×C43—42no—
761C23×C43—42no—
762C23×C43—42no—
763C23×C43—42no—
764C23×C43—42no—
765C23×C43—42no—
766C23×C43—42no—
767C23×C43—42no—
768C23×C43—81no—
769C23×C43—81no—
770C23×C43—81no—
771C23×C43—81no—
772C23×C43—81no—
773C23×C43—81no—
774C23×C43—81no—
775C23×C43—81no—
776C23×C43—81no—
777C23×C43—81no—
778C23×C43—81no—
779C23×C43—81no—
780C23×C43—81no—
781C23×C43—81no—
782C23×C43—81no—
783C23×C43—81no—
784C23×C43—81no—
785C23×C43—816no—
786C23×C43C22×D411yescharacteristic
787C23×C43C22×D411yescharacteristic
788C23×C43C22×D411yescharacteristic
789C23×C43C22×D411yescharacteristic
790C23×C43C22×D411yescharacteristic
791Q8×C43—21no—
792Q8×C43—21no—
793Q8×C43—21no—
794Q8×C43—21no—
795Q8×C43—41no—
796Q8×C43—81no—
797D4×C43—24no—
798D4×C43—22no—
799D4×C43—22no—
800D4×C43—21no—
801D4×C43—21no—
802D4×C43—21no—
803D4×C43—21no—
804D4×C43—21no—
805D4×C43—21no—
806D4×C43—21no—
807D4×C43—21no—
808D4×C43—21no—
809D4×C43—21no—
810D4×C43—21no—
811D4×C43—21no—
812D4×C43—21no—
813D4×C43—21no—
814D4×C43—41no—
815D4×C43—41no—
816D4×C43—41no—
817D4×C43—41no—
818D4×C43—41no—
819D4×C43—42no—
820D4×C43—42no—
821D4×C43—42no—
822D4×C43—42no—
823D4×C43—42no—
824D4×C43—42no—
825D4×C43—42no—
826D4×C43—42no—
827D4×C43—42no—
828D4×C43—42no—
829D4×C43—42no—
830D4×C43—42no—
831D4×C43—42no—
832D4×C43—81no—
833D4×C43—81no—
834D4×C43—81no—
835D4×C43—81no—
836D4×C43—81no—
837D4×C43—81no—
838D4×C43—81no—
839D4×C43—81no—
840D4×C43—81no—
841D4×C43—81no—
842D4×C43—81no—
843D4×C43—81no—
844D4×C43—81no—
845D4×C43—81no—
846D4×C43—81no—
847D4×C43—81no—
848D4×C43—81no—
849D4×C43—81no—
850D4×C43—81no—
851D4×C43—81no—
852D4×C43—81no—
853D4×C43—81no—
854D4×C43H(5,𝔽2)12yes—
855D4×C43H(5,𝔽2)12yes—
856C2×C4×C43—21no—
857C2×C4×C43—21no—
858C2×C4×C43—21no—
859C2×C4×C43—21no—
860C2×C4×C43—21no—
861C2×C4×C43—21no—
862C2×C4×C43—21no—
863C2×C4×C43—21no—
864C2×C4×C43—21no—
865C2×C4×C43—21no—
866C2×C4×C43—21no—
867C2×C4×C43—21no—
868C2×C4×C43—21no—
869C2×C4×C43—21no—
870C2×C4×C43—21no—
871C2×C4×C43—21no—
872C2×C4×C43—21no—
873C2×C4×C43—21no—
874C2×C4×C43—41no—
875C2×C4×C43—41no—
876C2×C4×C43—41no—
877C2×C4×C43—42no—
878C2×C4×C43—42no—
879C2×C4×C43—42no—
880C2×C4×C43—42no—
881C2×C4×C43—81no—
882C2×C4×C43—81no—
883C2×C4×C43—81no—
884C2×C4×C43—81no—
885C2×C4×C43—81no—
886C2×C4×C43—81no—
887C2×C4×C43—81no—
888C2×C4×C43—81no—
889C2×C4×C43—81no—
890C2×C4×C43—81no—
891C2×C4×C43C22×D411yescharacteristic
892C2×C4×C43C22×D411yescharacteristic
893C2×C4×C43C22×D411yescharacteristic
894C2×C4×C43C22×D411yescharacteristic
895C2×C4×C43C22×D411yescharacteristic
896C2×C4×C43C22×D411yescharacteristic
897C2×C4×C43C22×D411yescharacteristic
898C2×C4×C43C22×D411yescharacteristic
899C2×C4×C43C22×D411yescharacteristic
900C2×C4×C43C2511yescharacteristic
901C8×C43—21no—
902C8×C43—21no—
903C8×C43—21no—
904C8×C43—21no—
905C8×C43—21no—
906C8×C43—21no—
907C8×C43—21no—
908C8×C43—21no—
909#61609C4311yesmaximal, characteristic, direct product factor, Sylow
910C22×C43—21no—
911C22×C43—21no—
912C22×C43—21no—
913C22×C43—21no—
914C22×C43—21no—
915C22×C43—21no—
916C22×C43—21no—
917C22×C43—22no—
918C22×C43—22no—
919C22×C43—21no—
920C22×C43—21no—
921C22×C43—21no—
922C22×C43—21no—
923C22×C43—21no—
924C22×C43—21no—
925C22×C43—21no—
926C22×C43—44no—
927C22×C43—41no—
928C22×C43—41no—
929C22×C43—41no—
930C22×C43—41no—
931C22×C43—41no—
932C22×C43—41no—
933C22×C43—41no—
934C22×C43—41no—
935C22×C43—41no—
936C22×C43—41no—
937C22×C43—41no—
938C22×C43—41no—
939C22×C43—41no—
940C22×C43—41no—
941C22×C43—41no—
942C22×C43—41no—
943C22×C43—41no—
944C22×C43—41no—
945C22×C43—41no—
946C22×C43—41no—
947C22×C43—41no—
948C22×C43—41no—
949C22×C43—84no—
950C22×C43—84no—
951C22×C43—84no—
952C22×C43—84no—
953C22×C43—84no—
954C22×C43—84no—
955C22×C43—162no—
956C22×C43—162no—
957C22×C43—162no—
958C22×C43—162no—
959C22×C43#57612yes—
960C22×C43C23×D411yescharacteristic
961C4×C43—21no—
962C4×C43—21no—
963C4×C43—21no—
964C4×C43—21no—
965C4×C43—21no—
966C4×C43—21no—
967C4×C43—21no—
968C4×C43—21no—
969C4×C43—21no—
970C4×C43—41no—
971C4×C43—41no—
972C4×C43—41no—
973C4×C43—41no—
974C4×C43—41no—
975C4×C43—41no—
976C4×C43—41no—
977C4×C43—41no—
978C4×C43C2×H(5,𝔽2)11yescharacteristic
979C4×C43C2×H(5,𝔽2)11yescharacteristic
980#3542C2×C4311yescharacteristic, complemented
981#3484C2×C4311yescharacteristic, complemented
982#3325C2×C4311yescharacteristic, complemented
983#3322C2×C4311yescharacteristic, complemented
984#3319C2×C4311yescharacteristic, complemented
985#3318C2×C4311yescharacteristic, complemented
986#3310C2×C4311yescharacteristic, complemented
987#3306C2×C4311yescharacteristic, complemented
988#3296C2×C4311yescharacteristic, complemented
989#3294C2×C4311yescharacteristic, complemented
990#3280C2×C4311yescharacteristic, complemented
991D4×D8C2×C4311yescharacteristic, complemented
992#3274C2×C4311yescharacteristic, complemented
993#3273C2×C4311yescharacteristic, complemented
994#3268C2×C4311yescharacteristic, complemented
995#3264C2×C4311yescharacteristic, complemented
996#3264C2×C4311yescharacteristic, complemented
997#3264C2×C4311yescharacteristic, complemented
998#3224C2×C4311yescharacteristic, complemented
999#3220C2×C4311yescharacteristic, complemented
1000#3199C2×C4311yescharacteristic, complemented
1001#3198C2×C4311yescharacteristic, complemented
1002#3194C2×C4311yescharacteristic, complemented
1003#3191C2×C4311yescharacteristic, complemented
1004#3122C2×C4311yescharacteristic, complemented
1005#3118C2×C4311yescharacteristic, complemented
1006#3012C2×C4311yescharacteristic, complemented
1007#3008C2×C4311yescharacteristic, complemented
1008#3003C2×C4311yescharacteristic, complemented
1009C2×#447C2×C4311yescharacteristic, complemented
1010#2976C2×C4311yescharacteristic, complemented
1011C2×C43—22no—
1012C2×C43—41no—
1013C2×C43—41no—
1014C2×C43—41no—
1015C2×C43—41no—
1016C2×C43—42no—
1017C2×C43—42no—
1018C2×C43—81no—
1019C2×C43—81no—
1020C2×C43—81no—
1021C2×C43—81no—
1022C2×C43—81no—
1023C2×C43—81no—
1024C2×C43#348411yescharacteristic
1025C2×C43C2×#57611yescharacteristic
1026C2×C43#358511yescharacteristic
1027C2×H(5,𝔽2)C22×C4311yescharacteristic, complemented
1028C23×D4C22×C4311yescharacteristic, complemented
1029C2×AGL(1,ℤ/8)C22×C4311yescharacteristic, complemented
1030C2×AGL(1,ℤ/8)C22×C4311yescharacteristic, complemented
1031C2×AGL(1,ℤ/8)C22×C4311yescharacteristic, complemented
1032C2×AGL(1,ℤ/8)C22×C4311yescharacteristic, complemented
1033C2×#135C22×C4311yescharacteristic, complemented
1034C22×D8C22×C4311yescharacteristic, complemented
1035C22×D8C22×C4311yescharacteristic, complemented
1036C22×D8C22×C4311yescharacteristic, complemented
1037#562—21no—
1038#560—21no—
1039#555C22×C4311yescharacteristic, complemented
1040#553C22×C4311yescharacteristic, complemented
1041#552C22×C4311yescharacteristic, complemented
1042#551—21no—
1043#550C22×C4311yescharacteristic, complemented
1044#547C22×C4311yescharacteristic, complemented
1045#546—21no—
1046#546—21no—
1047#546—21no—
1048#546C22×C4311yescharacteristic
1049#546C22×C4311yescharacteristic, complemented
1050#546C22×C4311yescharacteristic, complemented
1051#546C22×C4311yescharacteristic, complemented
1052#546C22×C4311yescharacteristic, complemented
1053#546C22×C4311yescharacteristic, complemented
1054D42—21no—
1055D42—21no—
1056D42C22×C4311yescharacteristic
1057D42C22×C4311yescharacteristic, complemented
1058D42C22×C4311yescharacteristic, complemented
1059D42C22×C4311yescharacteristic, complemented
1060D42C22×C4311yescharacteristic, complemented
1061#542C22×C4311yescharacteristic, complemented
1062#540—21no—
1063#540C22×C4311yescharacteristic, complemented
1064#538—21no—
1065#537C22×C4311yescharacteristic, complemented
1066#535—21no—
1067#535C22×C4311yescharacteristic, complemented
1068#535C22×C4311yescharacteristic, complemented
1069#535C22×C4311yescharacteristic, complemented
1070#534—21no—
1071#534—21no—
1072#534—21no—
1073#525C22×C4311yescharacteristic
1074#525C22×C4311yescharacteristic, complemented
1075#525C22×C4311yescharacteristic, complemented
1076C2×#121C22×C4311yescharacteristic, complemented
1077C2×#120—21no—
1078C2×#120—21no—
1079#518C22×C4311yescharacteristic, complemented
1080#496C22×C4311yescharacteristic, complemented
1081#496C22×C4311yescharacteristic, complemented
1082#495C22×C4311yescharacteristic, complemented
1083#493C22×C4311yescharacteristic, complemented
1084#490C22×C4311yescharacteristic, complemented
1085#489C22×C4311yescharacteristic, complemented
1086#488C22×C4311yescharacteristic, complemented
1087#486C22×C4311yescharacteristic, complemented
1088#485C22×C4311yescharacteristic, complemented
1089#485C22×C4311yescharacteristic, complemented
1090#483C22×C4311yescharacteristic, complemented
1091#482C22×C4311yescharacteristic, complemented
1092#482C22×C4311yescharacteristic, complemented
1093#482C22×C4311yescharacteristic, complemented
1094#482C22×C4311yescharacteristic, complemented
1095#482C22×C4311yescharacteristic, complemented
1096#482C22×C4311yescharacteristic, complemented
1097#481C22×C4311yescharacteristic, complemented
1098#480C22×C4311yescharacteristic, complemented
1099#480C22×C4311yescharacteristic, complemented
1100#478C22×C4311yescharacteristic, complemented
1101#478C22×C4311yescharacteristic, complemented
1102#476C22×C4311yescharacteristic, complemented
1103#474C22×C4311yescharacteristic, complemented
1104#469C22×C4311yescharacteristic, complemented
1105#469C22×C4311yescharacteristic, complemented
1106#469C22×C4311yescharacteristic, complemented
1107#469C22×C4311yescharacteristic, complemented
1108#469C22×C4311yescharacteristic, complemented
1109#468C22×C4311yescharacteristic, complemented
1110#468C22×C4311yescharacteristic, complemented
1111#468C22×C4311yescharacteristic, complemented
1112#467C22×C4311yescharacteristic, complemented
1113#466C22×C4311yescharacteristic, complemented
1114#466C22×C4311yescharacteristic, complemented
1115#466C22×C4311yescharacteristic, complemented
1116#466C22×C4311yescharacteristic, complemented
1117#465C22×C4311yescharacteristic, complemented
1118#465C22×C4311yescharacteristic, complemented
1119#465C22×C4311yescharacteristic, complemented
1120#464C22×C4311yescharacteristic, complemented
1121#463C22×C4311yescharacteristic, complemented
1122#463C22×C4311yescharacteristic, complemented
1123#463C22×C4311yescharacteristic, complemented
1124#463C22×C4311yescharacteristic, complemented
1125#463C22×C4311yescharacteristic, complemented
1126#460C22×C4311yescharacteristic, complemented
1127#459C22×C4311yescharacteristic, complemented
1128#459C22×C4311yescharacteristic, complemented
1129#459C22×C4311yescharacteristic, complemented
1130#459C22×C4311yescharacteristic, complemented
1131#459C22×C4311yescharacteristic, complemented
1132#452C22×C4311yescharacteristic, complemented
1133#452C22×C4311yescharacteristic, complemented
1134#452C22×C4311yescharacteristic, complemented
1135#450C22×C4311yescharacteristic, complemented
1136#450C22×C4311yescharacteristic, complemented
1137#450C22×C4311yescharacteristic, complemented
1138#450C22×C4311yescharacteristic, complemented
1139#450C22×C4311yescharacteristic, complemented
1140#450C22×C4311yescharacteristic, complemented
1141#449C22×C4311yescharacteristic, complemented
1142#449C22×C4311yescharacteristic, complemented
1143#449C22×C4311yescharacteristic, complemented
1144#449C22×C4311yescharacteristic, complemented
1145#449C22×C4311yescharacteristic, complemented
1146#449C22×C4311yescharacteristic, complemented
1147#449C22×C4311yescharacteristic, complemented
1148#449C22×C4311yescharacteristic, complemented
1149#449C22×C4311yescharacteristic, complemented
1150#447C22×C4311yescharacteristic
1151#447C22×C4311yescharacteristic, complemented
1152#447C22×C4311yescharacteristic, complemented
1153#447C22×C4311yescharacteristic, complemented
1154#447C22×C4311yescharacteristic, complemented
1155#447C22×C4311yescharacteristic, complemented
1156#447C22×C4311yescharacteristic, complemented
1157#447C22×C4311yescharacteristic, complemented
1158#447C22×C4311yescharacteristic, complemented
1159#447C22×C4311yescharacteristic, complemented
1160#447C22×C4311yescharacteristic, complemented
1161#447C22×C4311yescharacteristic, complemented
1162#447C22×C4311yescharacteristic, complemented
1163#447C22×C4311yescharacteristic, complemented
1164#447C22×C4311yescharacteristic, complemented
1165#447C22×C4311yescharacteristic, complemented
1166#447C22×C4311yescharacteristic, complemented
1167#447C22×C4311yescharacteristic, complemented
1168#442C22×C4311yescharacteristic, complemented
1169#442C22×C4311yescharacteristic, complemented
1170#442C22×C4311yescharacteristic, complemented
1171#440C22×C4311yescharacteristic, complemented
1172C4×SD16C22×C4311yescharacteristic, complemented
1173C4×D8C22×C4311yescharacteristic, complemented
1174C4×D8C22×C4311yescharacteristic, complemented
1175C4×D8C22×C4311yescharacteristic, complemented
1176#436C22×C4311yescharacteristic, complemented
1177#436C22×C4311yescharacteristic, complemented
1178#435C22×C4311yescharacteristic, complemented
1179#435C22×C4311yescharacteristic, complemented
1180#435C22×C4311yescharacteristic, complemented
1181#435C22×C4311yescharacteristic, complemented
1182C8×D4C22×C4311yescharacteristic, complemented
1183C8×D4C22×C4311yescharacteristic, complemented
1184#433C22×C4311yescharacteristic, complemented
1185#433C22×C4311yescharacteristic, complemented
1186#418C22×C4311yescharacteristic, complemented
1187#418C22×C4311yescharacteristic, complemented
1188#418C22×C4311yescharacteristic, complemented
1189#417C22×C4311yescharacteristic, complemented
1190#416C22×C4311yescharacteristic, complemented
1191C2×#102C22×C4311yescharacteristic, complemented
1192C2×#102C22×C4311yescharacteristic, complemented
1193C2×#102C22×C4311yescharacteristic, complemented
1194#408C22×C4311yescharacteristic, complemented
1195#408C22×C4311yescharacteristic, complemented
1196#407C22×C4311yescharacteristic, complemented
1197C2×C22⋊C8C22×C4311yescharacteristic, complemented
1198C43#6160911yescharacteristic, direct product factor, Sylow
1199C25—21no—
1200H(5,𝔽2)—42no—
1201H(5,𝔽2)—42no—
1202C2×#41—21no—
1203C2×#41—21no—
1204C2×#41C23×C4311yescharacteristic
1205C2×#41C23×C4311yescharacteristic
1206C2×#41C23×C4311yescharacteristic
1207C2×#41C23×C4311yescharacteristic
1208C2×#41C23×C4311yescharacteristic
1209C2×#41C23×C4311yescharacteristic, complemented
1210C22×D4—21no—
1211C22×D4—21no—
1212C22×D4—21no—
1213C22×D4—21no—
1214C22×D4—21no—
1215C22×D4—21no—
1216C22×D4—21no—
1217C22×D4—21no—
1218C22×D4—21no—
1219C22×D4—21no—
1220C22×D4—21no—
1221C22×D4—21no—
1222C22×D4—42no—
1223C22×D4—42no—
1224C22×D4C23×C4311yescharacteristic
1225C22×D4C23×C4311yescharacteristic
1226C22×D4C23×C4311yescharacteristic
1227C22×D4C23×C4311yescharacteristic
1228C22×D4C23×C4311yescharacteristic
1229C22×D4C23×C4311yescharacteristic
1230C22×D4C23×C4311yescharacteristic
1231C22×D4C23×C4311yescharacteristic
1232C22×D4C23×C4311yescharacteristic
1233C22×D4C23×C4311yescharacteristic, complemented
1234C23×C4C23×C4311yescharacteristic
1235AGL(1,ℤ/8)—42no—
1236AGL(1,ℤ/8)—42no—
1237AGL(1,ℤ/8)—42no—
1238AGL(1,ℤ/8)—42no—
1239#135—42no—
1240C2×Q16C23×C4311yescharacteristic, complemented
1241C2×SD16C23×C4311yescharacteristic
1242C2×SD16C23×C4311yescharacteristic
1243C2×SD16C23×C4311yescharacteristic
1244C2×SD16C23×C4311yescharacteristic
1245C2×SD16C23×C4311yescharacteristic, complemented
1246C2×SD16C23×C4311yescharacteristic, complemented
1247C2×SD16C23×C4311yescharacteristic, complemented
1248C2×SD16C23×C4311yescharacteristic, complemented
1249C2×D8—42no—
1250C2×D8—42no—
1251C2×D8—42no—
1252C2×D8C23×C4311yescharacteristic
1253C2×D8C23×C4311yescharacteristic
1254C2×D8C23×C4311yescharacteristic
1255C2×D8C23×C4311yescharacteristic
1256C2×D8C23×C4311yescharacteristic
1257C2×D8C23×C4311yescharacteristic
1258C2×D8C23×C4311yescharacteristic
1259C2×D8C23×C4311yescharacteristic
1260C2×D8C23×C4311yescharacteristic
1261C2×D8C23×C4311yescharacteristic
1262C2×D8C23×C4311yescharacteristic
1263C2×D8C23×C4311yescharacteristic
1264C2×D8C23×C4311yescharacteristic, complemented
1265C2×D8C23×C4311yescharacteristic, complemented
1266C2×D8C23×C4311yescharacteristic, complemented
1267C2×M16C23×C4311yescharacteristic
1268C2×M16C23×C4311yescharacteristic
1269C2×M16C23×C4311yescharacteristic, complemented
1270C2×M16C23×C4311yescharacteristic, complemented
1271C22×C8C23×C4311yescharacteristic
1272C22×C8C23×C4311yescharacteristic
1273C22×C8C23×C4311yescharacteristic, complemented
1274C22×C8C23×C4311yescharacteristic, complemented
1275C4⋊Q8C23×C4311yescharacteristic, complemented
1276#127—21no—
1277#127—21no—
1278#127—21no—
1279#127C23×C4311yescharacteristic
1280#127C23×C4311yescharacteristic
1281#127C23×C4311yescharacteristic, complemented
1282#126—21no—
1283#126—21no—
1284#126—21no—
1285#125—21no—
1286#125C23×C4311yescharacteristic, complemented
1287#124—21no—
1288#124—21no—
1289#124—21no—
1290#124—21no—
1291#124—21no—
1292#124C23×C4311yescharacteristic
1293#124C23×C4311yescharacteristic
1294#124C23×C4311yescharacteristic, complemented
1295#123—21no—
1296#123—21no—
1297#123—21no—
1298#123—21no—
1299#123—21no—
1300#123—21no—
1301#123—21no—
1302#123—21no—
1303#123—21no—
1304#123—21no—
1305#123—21no—
1306#123—21no—
1307#123—21no—
1308#123—21no—
1309#123—21no—
1310#123D4×C4311yescharacteristic
1311#123D4×C4311yescharacteristic
1312C22⋊Q8—21no—
1313C22⋊Q8—21no—
1314C22⋊Q8—21no—
1315C22⋊Q8D4×C4311yescharacteristic
1316C22⋊Q8D4×C4311yescharacteristic
1317C22⋊Q8C23×C4311yescharacteristic
1318C22⋊Q8C23×C4311yescharacteristic
1319C22⋊Q8C23×C4311yescharacteristic
1320C22⋊Q8C23×C4311yescharacteristic
1321C22⋊Q8C23×C4311yescharacteristic, complemented
1322#121—21no—
1323#121—21no—
1324#121—21no—
1325#121—21no—
1326#121—21no—
1327#121—21no—
1328#121—21no—
1329#121—21no—
1330#121—21no—
1331#121—21no—
1332#121—21no—
1333#121—21no—
1334#121—21no—
1335#121—21no—
1336#121—21no—
1337#121—21no—
1338#121—21no—
1339#121—21no—
1340#121—21no—
1341#121—21no—
1342#121—21no—
1343#121—21no—
1344#121—21no—
1345#121—21no—
1346#121D4×C4311yescharacteristic
1347#121D4×C4311yescharacteristic
1348#121C23×C4311yescharacteristic
1349#121C23×C4311yescharacteristic
1350#121C23×C4311yescharacteristic
1351#121C23×C4311yescharacteristic
1352#121C23×C4311yescharacteristic
1353#121C23×C4311yescharacteristic
1354#121C23×C4311yescharacteristic
1355#121C23×C4311yescharacteristic
1356#121C23×C4311yescharacteristic
1357#121C23×C4311yescharacteristic
1358#121C23×C4311yescharacteristic
1359#121C23×C4311yescharacteristic
1360#121C23×C4311yescharacteristic, complemented
1361#121C23×C4311yescharacteristic, complemented
1362#121C23×C4311yescharacteristic, complemented
1363#120—21no—
1364#120—21no—
1365#120—21no—
1366#120—21no—
1367#120—21no—
1368#120—21no—
1369#120—21no—
1370#120—21no—
1371#120—21no—
1372#120—21no—
1373#120—21no—
1374#120—21no—
1375#120—21no—
1376#120—21no—
1377#120—21no—
1378#120—21no—
1379#120—21no—
1380#120—21no—
1381#120—21no—
1382#120—21no—
1383#120—21no—
1384#120—21no—
1385#120—21no—
1386#120—21no—
1387#120D4×C4311yescharacteristic
1388#120D4×C4311yescharacteristic
1389C4×Q8C23×C4311yescharacteristic, complemented
1390C4×D4—21no—
1391C4×D4—21no—
1392C4×D4—21no—
1393C4×D4—21no—
1394C4×D4—21no—
1395C4×D4—21no—
1396C4×D4—21no—
1397C4×D4—21no—
1398C4×D4C23×C4311yescharacteristic
1399C4×D4C23×C4311yescharacteristic
1400C4×D4C23×C4311yescharacteristic
1401C4×D4C23×C4311yescharacteristic
1402C4×D4C23×C4311yescharacteristic
1403C4×D4C23×C4311yescharacteristic
1404C4×D4C23×C4311yescharacteristic
1405C4×D4C23×C4311yescharacteristic
1406C4×D4C23×C4311yescharacteristic, complemented
1407C4×D4C23×C4311yescharacteristic, complemented
1408C4×D4C23×C4311yescharacteristic, complemented
1409#117—21no—
1410#117—21no—
1411#117C23×C4311yescharacteristic
1412#117C23×C4311yescharacteristic
1413#117C23×C4311yescharacteristic
1414#117C23×C4311yescharacteristic, complemented
1415C2×C4⋊C4C23×C4311yescharacteristic
1416C2×C4⋊C4C23×C4311yescharacteristic, complemented
1417C2×C22⋊C4—21no—
1418C2×C22⋊C4—21no—
1419C2×C22⋊C4—21no—
1420C2×C22⋊C4—21no—
1421C2×C22⋊C4—21no—
1422C2×C22⋊C4—21no—
1423C2×C22⋊C4—21no—
1424C2×C22⋊C4—21no—
1425C2×C22⋊C4—21no—
1426#107C23×C4311yescharacteristic, complemented
1427#107C23×C4311yescharacteristic, complemented
1428#107C23×C4311yescharacteristic, complemented
1429#107C23×C4311yescharacteristic, complemented
1430#106C23×C4311yescharacteristic, complemented
1431#106C23×C4311yescharacteristic, complemented
1432#106C23×C4311yescharacteristic, complemented
1433#106C23×C4311yescharacteristic, complemented
1434C4⋊C8C23×C4311yescharacteristic, complemented
1435C4⋊C8C23×C4311yescharacteristic, complemented
1436C4⋊C8C23×C4311yescharacteristic, complemented
1437C4⋊C8C23×C4311yescharacteristic, complemented
1438#103C23×C4311yescharacteristic, complemented
1439#103C23×C4311yescharacteristic, complemented
1440#103C23×C4311yescharacteristic, complemented
1441#103C23×C4311yescharacteristic, complemented
1442#103C23×C4311yescharacteristic, complemented
1443#103C23×C4311yescharacteristic, complemented
1444#102C23×C4311yescharacteristic
1445#102C23×C4311yescharacteristic
1446#102C23×C4311yescharacteristic
1447#102C23×C4311yescharacteristic
1448#102C23×C4311yescharacteristic
1449#102C23×C4311yescharacteristic
1450#102C23×C4311yescharacteristic
1451#102C23×C4311yescharacteristic
1452#102C23×C4311yescharacteristic
1453#102C23×C4311yescharacteristic
1454#102C23×C4311yescharacteristic
1455#102C23×C4311yescharacteristic
1456#102C23×C4311yescharacteristic
1457#102C23×C4311yescharacteristic
1458#102C23×C4311yescharacteristic
1459#102C23×C4311yescharacteristic
1460#102C23×C4311yescharacteristic, complemented
1461#102C23×C4311yescharacteristic, complemented
1462#102C23×C4311yescharacteristic, complemented
1463#102C23×C4311yescharacteristic, complemented
1464#102C23×C4311yescharacteristic, complemented
1465#102C23×C4311yescharacteristic, complemented
1466#102C23×C4311yescharacteristic, complemented
1467#102C23×C4311yescharacteristic, complemented
1468#102C23×C4311yescharacteristic, complemented
1469#102C23×C4311yescharacteristic, complemented
1470C22⋊C8C23×C4311yescharacteristic
1471C22⋊C8C23×C4311yescharacteristic
1472C22⋊C8C23×C4311yescharacteristic
1473C22⋊C8C23×C4311yescharacteristic
1474C22⋊C8C23×C4311yescharacteristic
1475C22⋊C8C23×C4311yescharacteristic
1476C22⋊C8C23×C4311yescharacteristic
1477C22⋊C8C23×C4311yescharacteristic
1478C22⋊C8C23×C4311yescharacteristic, complemented
1479C22⋊C8C23×C4311yescharacteristic, complemented
1480C22⋊C8C23×C4311yescharacteristic, complemented
1481C22⋊C8C23×C4311yescharacteristic, complemented
1482#97C23×C4311yescharacteristic, complemented
1483#97C23×C4311yescharacteristic, complemented
1484C4×C8C23×C4311yescharacteristic, complemented
1485C4×C8C23×C4311yescharacteristic, complemented
1486C24—21no—
1487C24—21no—
1488C24—21no—
1489C24—21no—
1490C24—21no—
1491C24—21no—
1492C24—21no—
1493C24—21no—
1494C24—21no—
1495C24—21no—
1496C24—44no—
1497C24—82no—
1498C24—82no—
1499C24C2×D4×C4311yescharacteristic
1500#41—22no—
1501#41—22no—
1502#41—41no—
1503#41—41no—
1504#41—41no—
1505#41—41no—
1506#41—41no—
1507#41—41no—
1508#41—41no—
1509#41—41no—
1510#41—41no—
1511#41—41no—
1512#41—44no—
1513#41—82no—
1514C2×Q8—21no—
1515C2×Q8C2×D4×C4311yescharacteristic
1516C2×Q8C24×C4311yescharacteristic
1517C2×Q8C24×C4311yescharacteristic
1518C2×D4—22no—
1519C2×D4—22no—
1520C2×D4—22no—
1521C2×D4—22no—
1522C2×D4—22no—
1523C2×D4—22no—
1524C2×D4—22no—
1525C2×D4—22no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—21no—
1530C2×D4—21no—
1531C2×D4—21no—
1532C2×D4—21no—
1533C2×D4—21no—
1534C2×D4—21no—
1535C2×D4—21no—
1536C2×D4—21no—
1537C2×D4—21no—
1538C2×D4—21no—
1539C2×D4—21no—
1540C2×D4—21no—
1541C2×D4—21no—
1542C2×D4—21no—
1543C2×D4—21no—
1544C2×D4—21no—
1545C2×D4—21no—
1546C2×D4—21no—
1547C2×D4—21no—
1548C2×D4—21no—
1549C2×D4—21no—
1550C2×D4—21no—
1551C2×D4—21no—
1552C2×D4—21no—
1553C2×D4—21no—
1554C2×D4—21no—
1555C2×D4—21no—
1556C2×D4—21no—
1557C2×D4—21no—
1558C2×D4—21no—
1559C2×D4—21no—
1560C2×D4—21no—
1561C2×D4—21no—
1562C2×D4—41no—
1563C2×D4—41no—
1564C2×D4—41no—
1565C2×D4—41no—
1566C2×D4—41no—
1567C2×D4—41no—
1568C2×D4—41no—
1569C2×D4—41no—
1570C2×D4—41no—
1571C2×D4—41no—
1572C2×D4—41no—
1573C2×D4—41no—
1574C2×D4—44no—
1575C2×D4—44no—
1576C2×D4—44no—
1577C2×D4—44no—
1578C2×D4—44no—
1579C2×D4—44no—
1580C2×D4—82no—
1581C2×D4—82no—
1582C2×D4—82no—
1583C2×D4—82no—
1584C2×D4—82no—
1585C2×D4—82no—
1586C2×D4C2×D4×C4311yescharacteristic
1587C2×D4C2×D4×C4311yescharacteristic
1588C2×D4C2×D4×C4311yescharacteristic
1589C2×D4C2×D4×C4311yescharacteristic
1590C2×D4C2×D4×C4311yescharacteristic
1591C2×D4C2×D4×C4311yescharacteristic
1592C2×D4C2×D4×C4311yescharacteristic
1593C2×D4C24×C4311yescharacteristic
1594C2×D4C24×C4311yescharacteristic
1595C2×D4C24×C4311yescharacteristic
1596C2×D4C24×C4311yescharacteristic
1597C2×D4C24×C4311yescharacteristic
1598C2×D4C24×C4311yescharacteristic
1599C2×D4C24×C4311yescharacteristic
1600C2×D4C24×C4311yescharacteristic
1601C22×C4—21no—
1602C22×C4—21no—
1603C22×C4—21no—
1604C22×C4—21no—
1605C22×C4—21no—
1606C22×C4—21no—
1607C22×C4—21no—
1608C22×C4—21no—
1609C22×C4—21no—
1610C22×C4—21no—
1611C22×C4—21no—
1612C22×C4—21no—
1613C22×C4—21no—
1614C22×C4—21no—
1615C22×C4—41no—
1616C22×C4—41no—
1617C22×C4C2×D4×C4311yescharacteristic
1618C22×C4C2×D4×C4311yescharacteristic
1619C22×C4C2×D4×C4311yescharacteristic
1620C22×C4C24×C4311yescharacteristic
1621C22×C4C24×C4311yescharacteristic
1622C22×C4C24×C4311yescharacteristic
1623C22×C4C24×C4311yescharacteristic
1624C22×C4C24×C4311yescharacteristic
1625Q16—41no—
1626SD16—22no—
1627SD16—22no—
1628SD16—41no—
1629SD16—41no—
1630SD16—41no—
1631SD16—41no—
1632SD16—41no—
1633SD16—41no—
1634D8—22no—
1635D8—22no—
1636D8—22no—
1637D8—22no—
1638D8—22no—
1639D8—22no—
1640D8—41no—
1641D8—41no—
1642D8—41no—
1643D8—41no—
1644D8—41no—
1645D8—41no—
1646D8—41no—
1647D8—41no—
1648D8—41no—
1649M16—41no—
1650M16—41no—
1651M16—41no—
1652M16—41no—
1653C2×C8—41no—
1654C2×C8—41no—
1655C2×C8—41no—
1656C2×C8—41no—
1657C2×C8C24×C4311yescharacteristic
1658C2×C8C24×C4311yescharacteristic
1659C2×C8C24×C4311yescharacteristic
1660C2×C8C24×C4311yescharacteristic
1661C2×C8C24×C4311yescharacteristic
1662C2×C8C24×C4311yescharacteristic
1663C2×C8C24×C4311yescharacteristic
1664C2×C8C24×C4311yescharacteristic
1665C4⋊C4—21no—
1666C4⋊C4—21no—
1667C4⋊C4—21no—
1668C4⋊C4—21no—
1669C4⋊C4—21no—
1670C4⋊C4—21no—
1671C4⋊C4—21no—
1672C4⋊C4—21no—
1673C4⋊C4—21no—
1674C4⋊C4—21no—
1675C4⋊C4—21no—
1676C4⋊C4C2×D4×C4311yescharacteristic
1677C4⋊C4C2×D4×C4311yescharacteristic
1678C4⋊C4C2×D4×C4311yescharacteristic
1679C4⋊C4C2×D4×C4311yescharacteristic
1680C4⋊C4C2×D4×C4311yescharacteristic
1681C4⋊C4C2×D4×C4311yescharacteristic
1682C4⋊C4C24×C4311yescharacteristic
1683C4⋊C4C24×C4311yescharacteristic
1684C4⋊C4C24×C4311yescharacteristic
1685C4⋊C4C24×C4311yescharacteristic
1686C4⋊C4C24×C4311yescharacteristic
1687C4⋊C4C24×C4311yescharacteristic
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—21no—
1697C22⋊C4—21no—
1698C22⋊C4—21no—
1699C22⋊C4—21no—
1700C22⋊C4—21no—
1701C22⋊C4—21no—
1702C22⋊C4—21no—
1703C22⋊C4—21no—
1704C22⋊C4—21no—
1705C22⋊C4—21no—
1706C22⋊C4—21no—
1707C22⋊C4—21no—
1708C22⋊C4—21no—
1709C22⋊C4—21no—
1710C22⋊C4—21no—
1711C22⋊C4—21no—
1712C22⋊C4—21no—
1713C22⋊C4—21no—
1714C22⋊C4—21no—
1715C22⋊C4—21no—
1716C22⋊C4—21no—
1717C22⋊C4—21no—
1718C22⋊C4—21no—
1719C22⋊C4—21no—
1720C22⋊C4—21no—
1721C22⋊C4—21no—
1722C22⋊C4—21no—
1723C22⋊C4—21no—
1724C22⋊C4C2×D4×C4311yescharacteristic
1725C22⋊C4C2×D4×C4311yescharacteristic
1726C22⋊C4C2×D4×C4311yescharacteristic
1727C22⋊C4C2×D4×C4311yescharacteristic
1728C22⋊C4C2×D4×C4311yescharacteristic
1729C22⋊C4C2×D4×C4311yescharacteristic
1730C22⋊C4C2×D4×C4311yescharacteristic
1731C22⋊C4C2×D4×C4311yescharacteristic
1732C22⋊C4C2×D4×C4311yescharacteristic
1733C22⋊C4C2×D4×C4311yescharacteristic
1734C42—21no—
1735C42—21no—
1736C42—21no—
1737C42—21no—
1738C42C24×C4311yescharacteristic
1739C42C24×C4311yescharacteristic
1740C23—24no—
1741C23—22no—
1742C23—21no—
1743C23—21no—
1744C23—21no—
1745C23—21no—
1746C23—21no—
1747C23—21no—
1748C23—21no—
1749C23—21no—
1750C23—41no—
1751C23—41no—
1752C23—42no—
1753C23—42no—
1754C23—42no—
1755C23—42no—
1756C23—42no—
1757C23—42no—
1758C23—42no—
1759C23—42no—
1760C23—42no—
1761C23—42no—
1762C23—42no—
1763C23—42no—
1764C23—81no—
1765C23—81no—
1766C23—81no—
1767C23—81no—
1768C23—81no—
1769C23—81no—
1770C23—81no—
1771C23—81no—
1772C23—81no—
1773C23—81no—
1774C23—81no—
1775C23—81no—
1776C23—81no—
1777C23—81no—
1778C23—81no—
1779C23—81no—
1780C23—81no—
1781C23—816no—
1782C23C22×D4×C4311yescharacteristic
1783C23C22×D4×C4311yescharacteristic
1784C23C22×D4×C4311yescharacteristic
1785C23C22×D4×C4311yescharacteristic
1786C23C22×D4×C4311yescharacteristic
1787Q8—21no—
1788Q8—21no—
1789Q8—21no—
1790Q8—21no—
1791Q8—41no—
1792Q8—81no—
1793D4—24no—
1794D4—22no—
1795D4—22no—
1796D4—21no—
1797D4—21no—
1798D4—21no—
1799D4—21no—
1800D4—21no—
1801D4—21no—
1802D4—21no—
1803D4—21no—
1804D4—21no—
1805D4—21no—
1806D4—21no—
1807D4—21no—
1808D4—21no—
1809D4—21no—
1810D4—41no—
1811D4—41no—
1812D4—41no—
1813D4—41no—
1814D4—41no—
1815D4—42no—
1816D4—42no—
1817D4—42no—
1818D4—42no—
1819D4—42no—
1820D4—42no—
1821D4—42no—
1822D4—42no—
1823D4—42no—
1824D4—42no—
1825D4—42no—
1826D4—42no—
1827D4—42no—
1828D4—81no—
1829D4—81no—
1830D4—81no—
1831D4—81no—
1832D4—81no—
1833D4—81no—
1834D4—81no—
1835D4—81no—
1836D4—81no—
1837D4—81no—
1838D4—81no—
1839D4—81no—
1840D4—81no—
1841D4—81no—
1842D4—81no—
1843D4—81no—
1844D4—81no—
1845D4—81no—
1846D4—81no—
1847D4—81no—
1848D4—81no—
1849D4—81no—
1850D4H(5,𝔽2)×C4312yes—
1851D4H(5,𝔽2)×C4312yes—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—21no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—21no—
1867C2×C4—21no—
1868C2×C4—21no—
1869C2×C4—21no—
1870C2×C4—41no—
1871C2×C4—41no—
1872C2×C4—41no—
1873C2×C4—42no—
1874C2×C4—42no—
1875C2×C4—42no—
1876C2×C4—42no—
1877C2×C4—81no—
1878C2×C4—81no—
1879C2×C4—81no—
1880C2×C4—81no—
1881C2×C4—81no—
1882C2×C4—81no—
1883C2×C4—81no—
1884C2×C4—81no—
1885C2×C4—81no—
1886C2×C4—81no—
1887C2×C4C22×D4×C4311yescharacteristic
1888C2×C4C22×D4×C4311yescharacteristic
1889C2×C4C22×D4×C4311yescharacteristic
1890C2×C4C22×D4×C4311yescharacteristic
1891C2×C4C22×D4×C4311yescharacteristic
1892C2×C4C22×D4×C4311yescharacteristic
1893C2×C4C22×D4×C4311yescharacteristic
1894C2×C4C22×D4×C4311yescharacteristic
1895C2×C4C22×D4×C4311yescharacteristic
1896C2×C4C25×C4311yescharacteristic
1897C8—21no—
1898C8—21no—
1899C8—21no—
1900C8—21no—
1901C8—21no—
1902C8—21no—
1903C8—21no—
1904C8—21no—
1905C22—21no—
1906C22—21no—
1907C22—21no—
1908C22—21no—
1909C22—21no—
1910C22—21no—
1911C22—22no—
1912C22—22no—
1913C22—21no—
1914C22—21no—
1915C22—21no—
1916C22—21no—
1917C22—21no—
1918C22—21no—
1919C22—21no—
1920C22—21no—
1921C22—44no—
1922C22—41no—
1923C22—41no—
1924C22—41no—
1925C22—41no—
1926C22—41no—
1927C22—41no—
1928C22—41no—
1929C22—41no—
1930C22—41no—
1931C22—41no—
1932C22—41no—
1933C22—41no—
1934C22—41no—
1935C22—41no—
1936C22—41no—
1937C22—41no—
1938C22—41no—
1939C22—41no—
1940C22—41no—
1941C22—41no—
1942C22—41no—
1943C22—41no—
1944C22—84no—
1945C22—84no—
1946C22—84no—
1947C22—84no—
1948C22—84no—
1949C22—84no—
1950C22—162no—
1951C22—162no—
1952C22—162no—
1953C22—162no—
1954C22C43×#57612yes—
1955C22C23×D4×C4311yescharacteristic
1956C4—21no—
1957C4—21no—
1958C4—21no—
1959C4—21no—
1960C4—21no—
1961C4—21no—
1962C4—21no—
1963C4—21no—
1964C4—21no—
1965C4—41no—
1966C4—41no—
1967C4—41no—
1968C4—41no—
1969C4—41no—
1970C4—41no—
1971C4—41no—
1972C4—41no—
1973C4C2×H(5,𝔽2)×C4311yescharacteristic
1974C4C2×H(5,𝔽2)×C4311yescharacteristic
1975C2—22no—
1976C2—41no—
1977C2—41no—
1978C2—41no—
1979C2—41no—
1980C2—42no—
1981C2—42no—
1982C2—81no—
1983C2—81no—
1984C2—81no—
1985C2—81no—
1986C2—81no—
1987C2—81no—
1988C2C43×#348411yescharacteristic
1989C2C2×C43×#57611yescharacteristic
1990C2C43×#358511yescharacteristic
subgroupG/H
center, socleC22×C43C23×D4
commutator, Frattini, cosocleC2×C4C25×C43
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C43 ◁ C43×#525 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C43×#3542C2semidirect
2. C43×#3484C2semidirect
3. C43×#3325C2semidirect
4. C43×#3322C2semidirect
5. C43×#3319C2semidirect
6. C43×#3318C2semidirect
7. C43×#3310C2semidirect
8. C43×#3306C2semidirect
9. C43×#3296C2semidirect
10. C43×#3294C2semidirect
11. C43×#3280C2semidirect
12. D4×D8×C43C2semidirect
13. C43×#3274C2semidirect
14. C43×#3273C2semidirect
15. C43×#3268C2semidirect
16. C43×#3264C2semidirect
17. C43×#3264C2semidirect
18. C43×#3264C2semidirect
19. C43×#3224C2semidirect
20. C43×#3220C2semidirect
21. C43×#3199C2semidirect
22. C43×#3198C2semidirect
23. C43×#3194C2semidirect
24. C43×#3191C2semidirect
25. C43×#3122C2semidirect
26. C43×#3118C2semidirect
27. C43×#3012C2semidirect
28. C43×#3008C2semidirect
29. C43×#3003C2semidirect
30. C2×C43×#447C2semidirect
31. C43×#2976C2semidirect
32. C2×H(5,𝔽2)×C43C22semidirect
33. C23×D4×C43C22semidirect
34. C2×AGL(1,ℤ/8)×C43C22semidirect
35. C2×AGL(1,ℤ/8)×C43C22semidirect
36. C2×AGL(1,ℤ/8)×C43C22semidirect
37. C2×AGL(1,ℤ/8)×C43C22semidirect
38. C2×#135×C43C22semidirect
39. C22×D8×C43C22semidirect
40. C22×D8×C43C22semidirect
41. C22×D8×C43C22semidirect
44. C43×#555C22semidirect
45. C43×#553C22semidirect
46. C43×#552C22semidirect
48. C43×#550C22semidirect
49. C43×#547C22semidirect
54. C43×#546C22semidirect
55. C43×#546C22semidirect
56. C43×#546C22semidirect
57. C43×#546C22semidirect
58. C43×#546C22semidirect
62. D42×C43C22semidirect
63. D42×C43C22semidirect
64. D42×C43C22semidirect
65. D42×C43C22semidirect
66. C43×#542C22semidirect
68. C43×#540C22semidirect
70. C43×#537C22semidirect
72. C43×#535C22semidirect
73. C43×#535C22semidirect
74. C43×#535C22semidirect
79. C43×#525C22semidirect
80. C43×#525C22semidirect
81. C2×#121×C43C22semidirect
84. C43×#518C22semidirect
85. C43×#496C22semidirect
86. C43×#496C22semidirect
87. C43×#495C22semidirect
88. C43×#493C22semidirect
89. C43×#490C22semidirect
90. C43×#489C22semidirect
91. C43×#488C22semidirect
92. C43×#486C22semidirect
93. C43×#485C22semidirect
94. C43×#485C22semidirect
95. C43×#483C22semidirect
96. C43×#482C22semidirect
97. C43×#482C22semidirect
98. C43×#482C22semidirect
99. C43×#482C22semidirect
100. C43×#482C22semidirect
101. C43×#482C22semidirect
102. C43×#481C22semidirect
103. C43×#480C22semidirect
104. C43×#480C22semidirect
105. C43×#478C22semidirect
106. C43×#478C22semidirect
107. C43×#476C22semidirect
108. C43×#474C22semidirect
109. C43×#469C22semidirect
110. C43×#469C22semidirect
111. C43×#469C22semidirect
112. C43×#469C22semidirect
113. C43×#469C22semidirect
114. C43×#468C22semidirect
115. C43×#468C22semidirect
116. C43×#468C22semidirect
117. C43×#467C22semidirect
118. C43×#466C22semidirect
119. C43×#466C22semidirect
120. C43×#466C22semidirect
121. C43×#466C22semidirect
122. C43×#465C22semidirect
123. C43×#465C22semidirect
124. C43×#465C22semidirect
125. C43×#464C22semidirect
126. C43×#463C22semidirect
127. C43×#463C22semidirect
128. C43×#463C22semidirect
129. C43×#463C22semidirect
130. C43×#463C22semidirect
131. C43×#460C22semidirect
132. C43×#459C22semidirect
133. C43×#459C22semidirect
134. C43×#459C22semidirect
135. C43×#459C22semidirect
136. C43×#459C22semidirect
137. C43×#452C22semidirect
138. C43×#452C22semidirect
139. C43×#452C22semidirect
140. C43×#450C22semidirect
141. C43×#450C22semidirect
142. C43×#450C22semidirect
143. C43×#450C22semidirect
144. C43×#450C22semidirect
145. C43×#450C22semidirect
146. C43×#449C22semidirect
147. C43×#449C22semidirect
148. C43×#449C22semidirect
149. C43×#449C22semidirect
150. C43×#449C22semidirect
151. C43×#449C22semidirect
152. C43×#449C22semidirect
153. C43×#449C22semidirect
154. C43×#449C22semidirect
156. C43×#447C22semidirect
157. C43×#447C22semidirect
158. C43×#447C22semidirect
159. C43×#447C22semidirect
160. C43×#447C22semidirect
161. C43×#447C22semidirect
162. C43×#447C22semidirect
163. C43×#447C22semidirect
164. C43×#447C22semidirect
165. C43×#447C22semidirect
166. C43×#447C22semidirect
167. C43×#447C22semidirect
168. C43×#447C22semidirect
169. C43×#447C22semidirect
170. C43×#447C22semidirect
171. C43×#447C22semidirect
172. C43×#447C22semidirect
173. C43×#442C22semidirect
174. C43×#442C22semidirect
175. C43×#442C22semidirect
176. C43×#440C22semidirect
177. C4×SD16×C43C22semidirect
178. C4×D8×C43C22semidirect
179. C4×D8×C43C22semidirect
180. C4×D8×C43C22semidirect
181. C43×#436C22semidirect
182. C43×#436C22semidirect
183. C43×#435C22semidirect
184. C43×#435C22semidirect
185. C43×#435C22semidirect
186. C43×#435C22semidirect
187. C8×D4×C43C22semidirect
188. C8×D4×C43C22semidirect
189. C43×#433C22semidirect
190. C43×#433C22semidirect
191. C43×#418C22semidirect
192. C43×#418C22semidirect
193. C43×#418C22semidirect
194. C43×#417C22semidirect
195. C43×#416C22semidirect
196. C2×#102×C43C22semidirect
197. C2×#102×C43C22semidirect
198. C2×#102×C43C22semidirect
199. C43×#408C22semidirect
200. C43×#408C22semidirect
201. C43×#407C22semidirect
202. C2×C22⋊C8×C43C22semidirect
213. C2×#41×C43C23semidirect
237. C22×D4×C43C23semidirect
244. C2×Q16×C43C23semidirect
249. C2×SD16×C43C23semidirect
250. C2×SD16×C43C23semidirect
251. C2×SD16×C43C23semidirect
252. C2×SD16×C43C23semidirect
268. C2×D8×C43C23semidirect
269. C2×D8×C43C23semidirect
270. C2×D8×C43C23semidirect
273. C2×M16×C43C23semidirect
274. C2×M16×C43C23semidirect
277. C22×C8×C43C23semidirect
278. C22×C8×C43C23semidirect
279. C4⋊Q8×C43C23semidirect
285. #127×C43C23semidirect
290. #125×C43C23semidirect
298. #124×C43C23semidirect
325. C22⋊Q8×C43C23semidirect
364. #121×C43C23semidirect
365. #121×C43C23semidirect
366. #121×C43C23semidirect
393. C4×Q8×C43C23semidirect
410. C4×D4×C43C23semidirect
411. C4×D4×C43C23semidirect
412. C4×D4×C43C23semidirect
418. #117×C43C23semidirect
420. C2×C4⋊C4×C43C23semidirect
430. #107×C43C23semidirect
431. #107×C43C23semidirect
432. #107×C43C23semidirect
433. #107×C43C23semidirect
434. #106×C43C23semidirect
435. #106×C43C23semidirect
436. #106×C43C23semidirect
437. #106×C43C23semidirect
438. C4⋊C8×C43C23semidirect
439. C4⋊C8×C43C23semidirect
440. C4⋊C8×C43C23semidirect
441. C4⋊C8×C43C23semidirect
442. #103×C43C23semidirect
443. #103×C43C23semidirect
444. #103×C43C23semidirect
445. #103×C43C23semidirect
446. #103×C43C23semidirect
447. #103×C43C23semidirect
464. #102×C43C23semidirect
465. #102×C43C23semidirect
466. #102×C43C23semidirect
467. #102×C43C23semidirect
468. #102×C43C23semidirect
469. #102×C43C23semidirect
470. #102×C43C23semidirect
471. #102×C43C23semidirect
472. #102×C43C23semidirect
473. #102×C43C23semidirect
482. C22⋊C8×C43C23semidirect
483. C22⋊C8×C43C23semidirect
484. C22⋊C8×C43C23semidirect
485. C22⋊C8×C43C23semidirect
486. #97×C43C23semidirect
487. #97×C43C23semidirect
488. C4×C8×C43C23semidirect
489. C4×C8×C43C23semidirect
909. #61609C43direct (N × H)
980. #3542C2×C43semidirect
981. #3484C2×C43semidirect
982. #3325C2×C43semidirect
983. #3322C2×C43semidirect
984. #3319C2×C43semidirect
985. #3318C2×C43semidirect
986. #3310C2×C43semidirect
987. #3306C2×C43semidirect
988. #3296C2×C43semidirect
989. #3294C2×C43semidirect
990. #3280C2×C43semidirect
991. D4×D8C2×C43semidirect
992. #3274C2×C43semidirect
993. #3273C2×C43semidirect
994. #3268C2×C43semidirect
995. #3264C2×C43semidirect
996. #3264C2×C43semidirect
997. #3264C2×C43semidirect
998. #3224C2×C43semidirect
999. #3220C2×C43semidirect
1000. #3199C2×C43semidirect
1001. #3198C2×C43semidirect
1002. #3194C2×C43semidirect
1003. #3191C2×C43semidirect
1004. #3122C2×C43semidirect
1005. #3118C2×C43semidirect
1006. #3012C2×C43semidirect
1007. #3008C2×C43semidirect
1008. #3003C2×C43semidirect
1009. C2×#447C2×C43semidirect
1010. #2976C2×C43semidirect
1027. C2×H(5,𝔽2)C22×C43semidirect
1028. C23×D4C22×C43semidirect
1029. C2×AGL(1,ℤ/8)C22×C43semidirect
1030. C2×AGL(1,ℤ/8)C22×C43semidirect
1031. C2×AGL(1,ℤ/8)C22×C43semidirect
1032. C2×AGL(1,ℤ/8)C22×C43semidirect
1033. C2×#135C22×C43semidirect
1034. C22×D8C22×C43semidirect
1035. C22×D8C22×C43semidirect
1036. C22×D8C22×C43semidirect
1039. #555C22×C43semidirect
1040. #553C22×C43semidirect
1041. #552C22×C43semidirect
1043. #550C22×C43semidirect
1044. #547C22×C43semidirect
1049. #546C22×C43semidirect
1050. #546C22×C43semidirect
1051. #546C22×C43semidirect
1052. #546C22×C43semidirect
1053. #546C22×C43semidirect
1057. D42C22×C43semidirect
1058. D42C22×C43semidirect
1059. D42C22×C43semidirect
1060. D42C22×C43semidirect
1061. #542C22×C43semidirect
1063. #540C22×C43semidirect
1065. #537C22×C43semidirect
1067. #535C22×C43semidirect
1068. #535C22×C43semidirect
1069. #535C22×C43semidirect
1074. #525C22×C43semidirect
1075. #525C22×C43semidirect
1076. C2×#121C22×C43semidirect
1079. #518C22×C43semidirect
1080. #496C22×C43semidirect
1081. #496C22×C43semidirect
1082. #495C22×C43semidirect
1083. #493C22×C43semidirect
1084. #490C22×C43semidirect
1085. #489C22×C43semidirect
1086. #488C22×C43semidirect
1087. #486C22×C43semidirect
1088. #485C22×C43semidirect
1089. #485C22×C43semidirect
1090. #483C22×C43semidirect
1091. #482C22×C43semidirect
1092. #482C22×C43semidirect
1093. #482C22×C43semidirect
1094. #482C22×C43semidirect
1095. #482C22×C43semidirect
1096. #482C22×C43semidirect
1097. #481C22×C43semidirect
1098. #480C22×C43semidirect
1099. #480C22×C43semidirect
1100. #478C22×C43semidirect
1101. #478C22×C43semidirect
1102. #476C22×C43semidirect
1103. #474C22×C43semidirect
1104. #469C22×C43semidirect
1105. #469C22×C43semidirect
1106. #469C22×C43semidirect
1107. #469C22×C43semidirect
1108. #469C22×C43semidirect
1109. #468C22×C43semidirect
1110. #468C22×C43semidirect
1111. #468C22×C43semidirect
1112. #467C22×C43semidirect
1113. #466C22×C43semidirect
1114. #466C22×C43semidirect
1115. #466C22×C43semidirect
1116. #466C22×C43semidirect
1117. #465C22×C43semidirect
1118. #465C22×C43semidirect
1119. #465C22×C43semidirect
1120. #464C22×C43semidirect
1121. #463C22×C43semidirect
1122. #463C22×C43semidirect
1123. #463C22×C43semidirect
1124. #463C22×C43semidirect
1125. #463C22×C43semidirect
1126. #460C22×C43semidirect
1127. #459C22×C43semidirect
1128. #459C22×C43semidirect
1129. #459C22×C43semidirect
1130. #459C22×C43semidirect
1131. #459C22×C43semidirect
1132. #452C22×C43semidirect
1133. #452C22×C43semidirect
1134. #452C22×C43semidirect
1135. #450C22×C43semidirect
1136. #450C22×C43semidirect
1137. #450C22×C43semidirect
1138. #450C22×C43semidirect
1139. #450C22×C43semidirect
1140. #450C22×C43semidirect
1141. #449C22×C43semidirect
1142. #449C22×C43semidirect
1143. #449C22×C43semidirect
1144. #449C22×C43semidirect
1145. #449C22×C43semidirect
1146. #449C22×C43semidirect
1147. #449C22×C43semidirect
1148. #449C22×C43semidirect
1149. #449C22×C43semidirect
1151. #447C22×C43semidirect
1152. #447C22×C43semidirect
1153. #447C22×C43semidirect
1154. #447C22×C43semidirect
1155. #447C22×C43semidirect
1156. #447C22×C43semidirect
1157. #447C22×C43semidirect
1158. #447C22×C43semidirect
1159. #447C22×C43semidirect
1160. #447C22×C43semidirect
1161. #447C22×C43semidirect
1162. #447C22×C43semidirect
1163. #447C22×C43semidirect
1164. #447C22×C43semidirect
1165. #447C22×C43semidirect
1166. #447C22×C43semidirect
1167. #447C22×C43semidirect
1168. #442C22×C43semidirect
1169. #442C22×C43semidirect
1170. #442C22×C43semidirect
1171. #440C22×C43semidirect
1172. C4×SD16C22×C43semidirect
1173. C4×D8C22×C43semidirect
1174. C4×D8C22×C43semidirect
1175. C4×D8C22×C43semidirect
1176. #436C22×C43semidirect
1177. #436C22×C43semidirect
1178. #435C22×C43semidirect
1179. #435C22×C43semidirect
1180. #435C22×C43semidirect
1181. #435C22×C43semidirect
1182. C8×D4C22×C43semidirect
1183. C8×D4C22×C43semidirect
1184. #433C22×C43semidirect
1185. #433C22×C43semidirect
1186. #418C22×C43semidirect
1187. #418C22×C43semidirect
1188. #418C22×C43semidirect
1189. #417C22×C43semidirect
1190. #416C22×C43semidirect
1191. C2×#102C22×C43semidirect
1192. C2×#102C22×C43semidirect
1193. C2×#102C22×C43semidirect
1194. #408C22×C43semidirect
1195. #408C22×C43semidirect
1196. #407C22×C43semidirect
1197. C2×C22⋊C8C22×C43semidirect
1198. C43#61609direct (N × H)
1209. C2×#41C23×C43semidirect
1233. C22×D4C23×C43semidirect
1240. C2×Q16C23×C43semidirect
1245. C2×SD16C23×C43semidirect
1246. C2×SD16C23×C43semidirect
1247. C2×SD16C23×C43semidirect
1248. C2×SD16C23×C43semidirect
1264. C2×D8C23×C43semidirect
1265. C2×D8C23×C43semidirect
1266. C2×D8C23×C43semidirect
1269. C2×M16C23×C43semidirect
1270. C2×M16C23×C43semidirect
1273. C22×C8C23×C43semidirect
1274. C22×C8C23×C43semidirect
1275. C4⋊Q8C23×C43semidirect
1281. #127C23×C43semidirect
1286. #125C23×C43semidirect
1294. #124C23×C43semidirect
1321. C22⋊Q8C23×C43semidirect
1360. #121C23×C43semidirect
1361. #121C23×C43semidirect
1362. #121C23×C43semidirect
1389. C4×Q8C23×C43semidirect
1406. C4×D4C23×C43semidirect
1407. C4×D4C23×C43semidirect
1408. C4×D4C23×C43semidirect
1414. #117C23×C43semidirect
1416. C2×C4⋊C4C23×C43semidirect
1426. #107C23×C43semidirect
1427. #107C23×C43semidirect
1428. #107C23×C43semidirect
1429. #107C23×C43semidirect
1430. #106C23×C43semidirect
1431. #106C23×C43semidirect
1432. #106C23×C43semidirect
1433. #106C23×C43semidirect
1434. C4⋊C8C23×C43semidirect
1435. C4⋊C8C23×C43semidirect
1436. C4⋊C8C23×C43semidirect
1437. C4⋊C8C23×C43semidirect
1438. #103C23×C43semidirect
1439. #103C23×C43semidirect
1440. #103C23×C43semidirect
1441. #103C23×C43semidirect
1442. #103C23×C43semidirect
1443. #103C23×C43semidirect
1460. #102C23×C43semidirect
1461. #102C23×C43semidirect
1462. #102C23×C43semidirect
1463. #102C23×C43semidirect
1464. #102C23×C43semidirect
1465. #102C23×C43semidirect
1466. #102C23×C43semidirect
1467. #102C23×C43semidirect
1468. #102C23×C43semidirect
1469. #102C23×C43semidirect
1478. C22⋊C8C23×C43semidirect
1479. C22⋊C8C23×C43semidirect
1480. C22⋊C8C23×C43semidirect
1481. C22⋊C8C23×C43semidirect
1482. #97C23×C43semidirect
1483. #97C23×C43semidirect
1484. C4×C8C23×C43semidirect
1485. C4×C8C23×C43semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C43×#35422
C43×#34842
C43×#33252
C43×#33222
C43×#33192
C43×#33182
C43×#33102
C43×#33062
C43×#32962
C43×#32942
C43×#32802
D4×D8×C432
C43×#32742
C43×#32732
C43×#32682
C43×#32642
C43×#32242
C43×#32202
C43×#31992
C43×#31982
C43×#31942
C43×#31912
C43×#31222
C43×#31182
C43×#30122
C43×#30082
C43×#30032
C2×C43×#4472
C43×#29762
#6160943