Finite Group Databasebeta

← C43×#61610 #24981627

Subgroups — C43×#61610 #24981627

Order 11008.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3541C211yesmaximal, characteristic, complemented
2C43×#3484C211yesmaximal, characteristic, complemented
3C43×#3324C211yesmaximal, characteristic, complemented
4C43×#3323C211yesmaximal, characteristic, complemented
5C43×#3318C211yesmaximal, characteristic, complemented
6C43×#3314C211yesmaximal, characteristic, complemented
7C43×#3311C211yesmaximal, characteristic, complemented
8C43×#3310C211yesmaximal, characteristic, complemented
9C43×#3297C211yesmaximal, characteristic, complemented
10C43×#3295C211yesmaximal, characteristic, complemented
11C43×#3282C211yesmaximal, characteristic, complemented
12D4×SD16×C43C211yesmaximal, characteristic, complemented
13C43×#3275C211yesmaximal, characteristic, complemented
14C43×#3272C211yesmaximal, characteristic, complemented
15C43×#3267C211yesmaximal, characteristic, complemented
16C43×#3266C211yesmaximal, characteristic, complemented
17C43×#3265C211yesmaximal, characteristic, complemented
18C43×#3265C211yesmaximal, characteristic, complemented
19C43×#3224C211yesmaximal, characteristic, complemented
20C43×#3222C211yesmaximal, characteristic, complemented
21C43×#3200C211yesmaximal, characteristic, complemented
22C43×#3198C211yesmaximal, characteristic, complemented
23C43×#3196C211yesmaximal, characteristic, complemented
24C43×#3191C211yesmaximal, characteristic, complemented
25C43×#3123C211yesmaximal, characteristic, complemented
26C43×#3118C211yesmaximal, characteristic, complemented
27C43×#3012C211yesmaximal, characteristic, complemented
28C43×#3009C211yesmaximal, characteristic, complemented
29C43×#3003C211yesmaximal, characteristic, complemented
30C2×C43×#450C211yesmaximal, characteristic, complemented
31C43×#2976C211yesmaximal, characteristic, complemented
32C2×H(5,𝔽2)×C43C2211yescharacteristic
33C23×D4×C43C2211yescharacteristic
34C2×#137×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×SD16×C43C2211yescharacteristic, complemented
40C22×SD16×C43C2211yescharacteristic, complemented
41C22×SD16×C43C2211yescharacteristic, complemented
42C43×#563—21no—
43C43×#562—21no—
44C43×#556C2211yescharacteristic, complemented
45C43×#554—21no—
46C43×#554C2211yescharacteristic, complemented
47C43×#553—21no—
48C43×#553C2211yescharacteristic, complemented
49C43×#552C2211yescharacteristic, complemented
50D4×Q8×C43C2211yescharacteristic, complemented
51C43×#548C2211yescharacteristic, complemented
52C43×#548C2211yescharacteristic, complemented
53C43×#547C2211yescharacteristic, complemented
54C43×#546—21no—
55C43×#546—21no—
56C43×#546C2211yescharacteristic
57C43×#546C2211yescharacteristic
58C43×#546C2211yescharacteristic
59C43×#546C2211yescharacteristic
60D42×C43—21no—
61D42×C43—21no—
62D42×C43C2211yescharacteristic
63D42×C43C2211yescharacteristic
64D42×C43C2211yescharacteristic
65D42×C43C2211yescharacteristic
66C43×#542—21no—
67C43×#542C2211yescharacteristic, complemented
68C43×#541C2211yescharacteristic, complemented
69C43×#539—21no—
70C43×#538—21no—
71C43×#538—21no—
72C43×#537C2211yescharacteristic, complemented
73C43×#536C2211yescharacteristic, complemented
74C43×#535C2211yescharacteristic
75C43×#535C2211yescharacteristic
76C43×#534—21no—
77C43×#534—21no—
78C43×#525C2211yescharacteristic
79C43×#525C2211yescharacteristic
80C43×#525C2211yescharacteristic, complemented
81C2×C22⋊Q8×C43C2211yescharacteristic, complemented
82C2×#120×C43—21no—
83C2×#120×C43—21no—
84C43×#518C2211yescharacteristic
85C43×#497C2211yescharacteristic, complemented
86C43×#496C2211yescharacteristic, complemented
87C43×#495C2211yescharacteristic, complemented
88C43×#492C2211yescharacteristic, complemented
89C43×#490C2211yescharacteristic, complemented
90C43×#489C2211yescharacteristic, complemented
91C43×#488C2211yescharacteristic, complemented
92C43×#486C2211yescharacteristic, complemented
93C43×#485C2211yescharacteristic, complemented
94C43×#485C2211yescharacteristic, complemented
95C43×#485C2211yescharacteristic, complemented
96C43×#485C2211yescharacteristic, complemented
97C43×#484C2211yescharacteristic, complemented
98C43×#482C2211yescharacteristic, complemented
99C43×#482C2211yescharacteristic, complemented
100C43×#482C2211yescharacteristic, complemented
101C43×#482C2211yescharacteristic, complemented
102C43×#481C2211yescharacteristic, complemented
103C43×#481C2211yescharacteristic, complemented
104C43×#480C2211yescharacteristic, complemented
105C43×#478C2211yescharacteristic, complemented
106C43×#478C2211yescharacteristic, complemented
107C43×#476C2211yescharacteristic, complemented
108C43×#474C2211yescharacteristic, complemented
109C43×#470C2211yescharacteristic, complemented
110C43×#470C2211yescharacteristic, complemented
111C43×#469C2211yescharacteristic, complemented
112C43×#468C2211yescharacteristic, complemented
113C43×#468C2211yescharacteristic, complemented
114C43×#468C2211yescharacteristic, complemented
115C43×#468C2211yescharacteristic, complemented
116C43×#468C2211yescharacteristic, complemented
117C43×#467C2211yescharacteristic, complemented
118C43×#466C2211yescharacteristic, complemented
119C43×#466C2211yescharacteristic, complemented
120C43×#465C2211yescharacteristic, complemented
121C43×#465C2211yescharacteristic, complemented
122C43×#465C2211yescharacteristic, complemented
123C43×#465C2211yescharacteristic, complemented
124C43×#465C2211yescharacteristic, complemented
125C43×#464C2211yescharacteristic, complemented
126C43×#464C2211yescharacteristic, complemented
127C43×#464C2211yescharacteristic, complemented
128C43×#463C2211yescharacteristic, complemented
129C43×#463C2211yescharacteristic, complemented
130C43×#463C2211yescharacteristic, complemented
131C43×#461C2211yescharacteristic, complemented
132C43×#461C2211yescharacteristic, complemented
133C43×#460C2211yescharacteristic, complemented
134C43×#460C2211yescharacteristic, complemented
135C43×#460C2211yescharacteristic, complemented
136C43×#459C2211yescharacteristic, complemented
137C43×#452C2211yescharacteristic, complemented
138C43×#452C2211yescharacteristic, complemented
139C43×#452C2211yescharacteristic, complemented
140C43×#452C2211yescharacteristic, complemented
141C43×#452C2211yescharacteristic, complemented
142C43×#452C2211yescharacteristic, complemented
143C43×#452C2211yescharacteristic, complemented
144C43×#451C2211yescharacteristic, complemented
145C43×#450C2211yescharacteristic
146C43×#450C2211yescharacteristic
147C43×#450C2211yescharacteristic
148C43×#450C2211yescharacteristic, complemented
149C43×#450C2211yescharacteristic, complemented
150C43×#450C2211yescharacteristic, complemented
151C43×#450C2211yescharacteristic, complemented
152C43×#450C2211yescharacteristic, complemented
153C43×#450C2211yescharacteristic, complemented
154C43×#450C2211yescharacteristic, complemented
155C43×#450C2211yescharacteristic, complemented
156C43×#450C2211yescharacteristic, complemented
157C43×#450C2211yescharacteristic, complemented
158C43×#450C2211yescharacteristic, complemented
159C43×#450C2211yescharacteristic, complemented
160C43×#449C2211yescharacteristic, complemented
161C43×#449C2211yescharacteristic, complemented
162C43×#449C2211yescharacteristic, complemented
163C43×#449C2211yescharacteristic, complemented
164C43×#449C2211yescharacteristic, complemented
165C43×#448C2211yescharacteristic, complemented
166C43×#448C2211yescharacteristic, complemented
167C43×#448C2211yescharacteristic, complemented
168C43×#447C2211yescharacteristic
169C43×#447C2211yescharacteristic, complemented
170C43×#447C2211yescharacteristic, complemented
171C43×#447C2211yescharacteristic, complemented
172C43×#447C2211yescharacteristic, complemented
173C43×#442C2211yescharacteristic, complemented
174C43×#440C2211yescharacteristic, complemented
175C43×#440C2211yescharacteristic, complemented
176C43×#440C2211yescharacteristic, complemented
177C4×SD16×C43C2211yescharacteristic, complemented
178C4×SD16×C43C2211yescharacteristic, complemented
179C4×SD16×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×C43C2311yescharacteristic
208C2×#41×C43C2311yescharacteristic
209C2×#41×C43C2311yescharacteristic
210C2×#41×C43C2311yescharacteristic
211C2×#41×C43C2311yescharacteristic
212C2×#41×C43C2311yescharacteristic, complemented
213C22×Q8×C43C2311yescharacteristic
214C22×Q8×C43C2311yescharacteristic, complemented
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—42no—
226C22×D4×C43—42no—
227C22×D4×C43C2311yescharacteristic
228C22×D4×C43C2311yescharacteristic
229C22×D4×C43C2311yescharacteristic
230C22×D4×C43C2311yescharacteristic
231C22×D4×C43C2311yescharacteristic
232C22×D4×C43C2311yescharacteristic
233C22×D4×C43C2311yescharacteristic
234C22×D4×C43C2311yescharacteristic
235C23×C4×C43C2311yescharacteristic
236#137×C43—42no—
237AGL(1,ℤ/8)×C43—42no—
238AGL(1,ℤ/8)×C43—42no—
239AGL(1,ℤ/8)×C43—42no—
240#135×C43—42no—
241C2×Q16×C43C2311yescharacteristic, complemented
242C2×Q16×C43C2311yescharacteristic, complemented
243C2×Q16×C43C2311yescharacteristic, complemented
244C2×SD16×C43—42no—
245C2×SD16×C43—42no—
246C2×SD16×C43—42no—
247C2×SD16×C43C2311yescharacteristic
248C2×SD16×C43C2311yescharacteristic
249C2×SD16×C43C2311yescharacteristic
250C2×SD16×C43C2311yescharacteristic
251C2×SD16×C43C2311yescharacteristic
252C2×SD16×C43C2311yescharacteristic
253C2×SD16×C43C2311yescharacteristic
254C2×SD16×C43C2311yescharacteristic
255C2×SD16×C43C2311yescharacteristic
256C2×SD16×C43C2311yescharacteristic
257C2×SD16×C43C2311yescharacteristic
258C2×SD16×C43C2311yescharacteristic
259C2×SD16×C43C2311yescharacteristic, complemented
260C2×SD16×C43C2311yescharacteristic, complemented
261C2×SD16×C43C2311yescharacteristic, complemented
262C2×SD16×C43C2311yescharacteristic, complemented
263C2×D8×C43C2311yescharacteristic
264C2×D8×C43C2311yescharacteristic
265C2×D8×C43C2311yescharacteristic
266C2×D8×C43C2311yescharacteristic
267C2×D8×C43C2311yescharacteristic, complemented
268C2×M16×C43C2311yescharacteristic
269C2×M16×C43C2311yescharacteristic
270C2×M16×C43C2311yescharacteristic, complemented
271C2×M16×C43C2311yescharacteristic, complemented
272C22×C8×C43C2311yescharacteristic
273C22×C8×C43C2311yescharacteristic
274C22×C8×C43C2311yescharacteristic, complemented
275C22×C8×C43C2311yescharacteristic, complemented
276C4⋊Q8×C43—21no—
277C4⋊Q8×C43—21no—
278C4⋊Q8×C43C2311yescharacteristic, complemented
279C4⋊Q8×C43C2311yescharacteristic, complemented
280#127×C43—21no—
281#127×C43C2311yescharacteristic
282#127×C43C2311yescharacteristic
283#126×C43—21no—
284#126×C43—21no—
285#126×C43—21no—
286#126×C43—21no—
287#126×C43—21no—
288#126×C43—21no—
289#126×C43—21no—
290#125×C43—21no—
291#125×C43—21no—
292#125×C43—21no—
293#125×C43—21no—
294#125×C43C2311yescharacteristic, complemented
295#124×C43—21no—
296#124×C43—21no—
297#124×C43—21no—
298#124×C43—21no—
299#124×C43—21no—
300#124×C43—21no—
301#124×C43C2311yescharacteristic
302#124×C43C2311yescharacteristic
303#124×C43C2311yescharacteristic, complemented
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×C43—21no—
315#123×C43—21no—
316#123×C43—21no—
317#123×C43D411yescharacteristic
318#123×C43D411yescharacteristic
319C22⋊Q8×C43—21no—
320C22⋊Q8×C43—21no—
321C22⋊Q8×C43—21no—
322C22⋊Q8×C43—21no—
323C22⋊Q8×C43—21no—
324C22⋊Q8×C43—21no—
325C22⋊Q8×C43—21no—
326C22⋊Q8×C43—21no—
327C22⋊Q8×C43—21no—
328C22⋊Q8×C43—21no—
329C22⋊Q8×C43D411yescharacteristic
330C22⋊Q8×C43D411yescharacteristic
331C22⋊Q8×C43C2311yescharacteristic
332C22⋊Q8×C43C2311yescharacteristic
333C22⋊Q8×C43C2311yescharacteristic
334C22⋊Q8×C43C2311yescharacteristic
335C22⋊Q8×C43C2311yescharacteristic
336C22⋊Q8×C43C2311yescharacteristic
337C22⋊Q8×C43C2311yescharacteristic
338C22⋊Q8×C43C2311yescharacteristic
339C22⋊Q8×C43C2311yescharacteristic, complemented
340C22⋊Q8×C43C2311yescharacteristic, complemented
341C22⋊Q8×C43C2311yescharacteristic, complemented
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×C43—21no—
351#121×C43—21no—
352#121×C43—21no—
353#121×C43—21no—
354#121×C43—21no—
355#121×C43—21no—
356#121×C43—21no—
357#121×C43—21no—
358#121×C43—21no—
359#121×C43D411yescharacteristic
360#121×C43D411yescharacteristic
361#121×C43C2311yescharacteristic
362#121×C43C2311yescharacteristic
363#121×C43C2311yescharacteristic
364#121×C43C2311yescharacteristic
365#121×C43C2311yescharacteristic
366#121×C43C2311yescharacteristic
367#121×C43C2311yescharacteristic
368#121×C43C2311yescharacteristic
369#121×C43C2311yescharacteristic, complemented
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×C43D411yescharacteristic
389#120×C43D411yescharacteristic
390C4×Q8×C43—21no—
391C4×Q8×C43C2311yescharacteristic, complemented
392C4×Q8×C43C2311yescharacteristic, complemented
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×C43—21no—
403C4×D4×C43—21no—
404C4×D4×C43—21no—
405C4×D4×C43C2311yescharacteristic
406C4×D4×C43C2311yescharacteristic
407C4×D4×C43C2311yescharacteristic
408C4×D4×C43C2311yescharacteristic
409C4×D4×C43C2311yescharacteristic
410C4×D4×C43C2311yescharacteristic
411C4×D4×C43C2311yescharacteristic
412C4×D4×C43C2311yescharacteristic
413C4×D4×C43C2311yescharacteristic, complemented
414#117×C43—21no—
415#117×C43C2311yescharacteristic
416#117×C43C2311yescharacteristic
417#117×C43C2311yescharacteristic
418#117×C43C2311yescharacteristic, complemented
419C2×C4⋊C4×C43—21no—
420C2×C4⋊C4×C43—21no—
421C2×C4⋊C4×C43C2311yescharacteristic
422C2×C4⋊C4×C43C2311yescharacteristic, complemented
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#103×C43C2311yescharacteristic, complemented
449#103×C43C2311yescharacteristic, complemented
450#103×C43C2311yescharacteristic, complemented
451#103×C43C2311yescharacteristic, complemented
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
465#102×C43C2311yescharacteristic
466#102×C43C2311yescharacteristic
467#102×C43C2311yescharacteristic
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—44no—
499C24×C43—82no—
500C24×C43—82no—
501C24×C43C2×D411yescharacteristic
502#41×C43—22no—
503#41×C43—22no—
504#41×C43—41no—
505#41×C43—41no—
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—44no—
515C2×Q8×C43—21no—
516C2×Q8×C43—21no—
517C2×Q8×C43—21no—
518C2×Q8×C43—41no—
519C2×Q8×C43—41no—
520C2×Q8×C43—41no—
521C2×Q8×C43—41no—
522C2×Q8×C43C2×D411yescharacteristic
523C2×Q8×C43C2411yescharacteristic
524C2×Q8×C43C2411yescharacteristic
525C2×Q8×C43C2411yescharacteristic
526C2×Q8×C43C2411yescharacteristic
527C2×D4×C43—22no—
528C2×D4×C43—22no—
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—22no—
556C2×D4×C43—22no—
557C2×D4×C43—22no—
558C2×D4×C43—22no—
559C2×D4×C43—22no—
560C2×D4×C43—22no—
561C2×D4×C43—44no—
562C2×D4×C43—44no—
563C2×D4×C43—44no—
564C2×D4×C43—41no—
565C2×D4×C43—41no—
566C2×D4×C43—41no—
567C2×D4×C43—41no—
568C2×D4×C43—41no—
569C2×D4×C43—41no—
570C2×D4×C43—41no—
571C2×D4×C43—41no—
572C2×D4×C43—44no—
573C2×D4×C43—44no—
574C2×D4×C43—44no—
575C2×D4×C43—82no—
576C2×D4×C43—82no—
577C2×D4×C43—82no—
578C2×D4×C43—82no—
579C2×D4×C43C2×D411yescharacteristic
580C2×D4×C43C2×D411yescharacteristic
581C2×D4×C43C2×D411yescharacteristic
582C2×D4×C43C2×D411yescharacteristic
583C2×D4×C43C2×D411yescharacteristic
584C2×D4×C43C2×D411yescharacteristic
585C2×D4×C43C2×D411yescharacteristic
586C2×D4×C43C2411yescharacteristic
587C2×D4×C43C2411yescharacteristic
588C2×D4×C43C2411yescharacteristic
589C2×D4×C43C2411yescharacteristic
590C2×D4×C43C2411yescharacteristic
591C2×D4×C43C2411yescharacteristic
592C22×C4×C43—21no—
593C22×C4×C43—21no—
594C22×C4×C43—21no—
595C22×C4×C43—21no—
596C22×C4×C43—21no—
597C22×C4×C43—21no—
598C22×C4×C43—21no—
599C22×C4×C43—21no—
600C22×C4×C43—21no—
601C22×C4×C43—21no—
602C22×C4×C43—21no—
603C22×C4×C43—21no—
604C22×C4×C43—21no—
605C22×C4×C43—21no—
606C22×C4×C43—41no—
607C22×C4×C43—41no—
608C22×C4×C43C2×D411yescharacteristic
609C22×C4×C43C2×D411yescharacteristic
610C22×C4×C43C2×D411yescharacteristic
611C22×C4×C43C2411yescharacteristic
612C22×C4×C43C2411yescharacteristic
613C22×C4×C43C2411yescharacteristic
614C22×C4×C43C2411yescharacteristic
615C22×C4×C43C2411yescharacteristic
616Q16×C43—41no—
617Q16×C43—41no—
618Q16×C43—41no—
619SD16×C43—22no—
620SD16×C43—22no—
621SD16×C43—22no—
622SD16×C43—22no—
623SD16×C43—22no—
624SD16×C43—22no—
625SD16×C43—41no—
626SD16×C43—41no—
627SD16×C43—41no—
628SD16×C43—41no—
629SD16×C43—41no—
630SD16×C43—41no—
631SD16×C43—41no—
632SD16×C43—41no—
633SD16×C43—41no—
634SD16×C43—41no—
635D8×C43—22no—
636D8×C43—22no—
637D8×C43—41no—
638D8×C43—41no—
639D8×C43—41no—
640M16×C43—41no—
641M16×C43—41no—
642M16×C43—41no—
643M16×C43—41no—
644C2×C8×C43—41no—
645C2×C8×C43—41no—
646C2×C8×C43—41no—
647C2×C8×C43—41no—
648C2×C8×C43C2411yescharacteristic
649C2×C8×C43C2411yescharacteristic
650C2×C8×C43C2411yescharacteristic
651C2×C8×C43C2411yescharacteristic
652C2×C8×C43C2411yescharacteristic
653C2×C8×C43C2411yescharacteristic
654C2×C8×C43C2411yescharacteristic
655C2×C8×C43C2411yescharacteristic
656C4⋊C4×C43—21no—
657C4⋊C4×C43—21no—
658C4⋊C4×C43—21no—
659C4⋊C4×C43—21no—
660C4⋊C4×C43—21no—
661C4⋊C4×C43—21no—
662C4⋊C4×C43—21no—
663C4⋊C4×C43—21no—
664C4⋊C4×C43—21no—
665C4⋊C4×C43—21no—
666C4⋊C4×C43—21no—
667C4⋊C4×C43—21no—
668C4⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
678C4⋊C4×C43C2×D411yescharacteristic
679C4⋊C4×C43C2×D411yescharacteristic
680C4⋊C4×C43C2×D411yescharacteristic
681C4⋊C4×C43C2×D411yescharacteristic
682C4⋊C4×C43C2×D411yescharacteristic
683C4⋊C4×C43C2411yescharacteristic
684C4⋊C4×C43C2411yescharacteristic
685C4⋊C4×C43C2411yescharacteristic
686C4⋊C4×C43C2411yescharacteristic
687C4⋊C4×C43C2411yescharacteristic
688C4⋊C4×C43C2411yescharacteristic
689C22⋊C4×C43—21no—
690C22⋊C4×C43—21no—
691C22⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
724C22⋊C4×C43C2×D411yescharacteristic
725C22⋊C4×C43C2×D411yescharacteristic
726C22⋊C4×C43C2×D411yescharacteristic
727C22⋊C4×C43C2×D411yescharacteristic
728C22⋊C4×C43C2×D411yescharacteristic
729C22⋊C4×C43C2×D411yescharacteristic
730C22⋊C4×C43C2×D411yescharacteristic
731C22⋊C4×C43C2×D411yescharacteristic
732C22⋊C4×C43C2×D411yescharacteristic
733C42×C43—21no—
734C42×C43—21no—
735C42×C43—21no—
736C42×C43—21no—
737C42×C43—21no—
738C42×C43—21no—
739C42×C43C2411yescharacteristic
740C42×C43C2411yescharacteristic
741C23×C43—24no—
742C23×C43—22no—
743C23×C43—21no—
744C23×C43—21no—
745C23×C43—21no—
746C23×C43—21no—
747C23×C43—21no—
748C23×C43—21no—
749C23×C43—41no—
750C23×C43—41no—
751C23×C43—42no—
752C23×C43—42no—
753C23×C43—42no—
754C23×C43—42no—
755C23×C43—42no—
756C23×C43—42no—
757C23×C43—42no—
758C23×C43—42no—
759C23×C43—42no—
760C23×C43—42no—
761C23×C43—42no—
762C23×C43—81no—
763C23×C43—81no—
764C23×C43—81no—
765C23×C43—81no—
766C23×C43—81no—
767C23×C43—81no—
768C23×C43—81no—
769C23×C43—81no—
770C23×C43—81no—
771C23×C43—81no—
772C23×C43—81no—
773C23×C43—81no—
774C23×C43—816no—
775C23×C43C22×D411yescharacteristic
776C23×C43C22×D411yescharacteristic
777C23×C43C22×D411yescharacteristic
778C23×C43C22×D411yescharacteristic
779C23×C43C22×D411yescharacteristic
780Q8×C43—21no—
781Q8×C43—21no—
782Q8×C43—21no—
783Q8×C43—21no—
784Q8×C43—21no—
785Q8×C43—21no—
786Q8×C43—21no—
787Q8×C43—21no—
788Q8×C43—41no—
789Q8×C43—81no—
790Q8×C43—81no—
791Q8×C43—81no—
792D4×C43—24no—
793D4×C43—22no—
794D4×C43—22no—
795D4×C43—21no—
796D4×C43—21no—
797D4×C43—21no—
798D4×C43—21no—
799D4×C43—21no—
800D4×C43—21no—
801D4×C43—21no—
802D4×C43—21no—
803D4×C43—21no—
804D4×C43—21no—
805D4×C43—41no—
806D4×C43—41no—
807D4×C43—41no—
808D4×C43—41no—
809D4×C43—41no—
810D4×C43—42no—
811D4×C43—42no—
812D4×C43—42no—
813D4×C43—42no—
814D4×C43—42no—
815D4×C43—42no—
816D4×C43—42no—
817D4×C43—42no—
818D4×C43—42no—
819D4×C43—42no—
820D4×C43—42no—
821D4×C43—42no—
822D4×C43—42no—
823D4×C43—81no—
824D4×C43—81no—
825D4×C43—81no—
826D4×C43—81no—
827D4×C43—81no—
828D4×C43—81no—
829D4×C43—81no—
830D4×C43—81no—
831D4×C43—81no—
832D4×C43—81no—
833D4×C43—81no—
834D4×C43—81no—
835D4×C43H(5,𝔽2)12yes—
836D4×C43H(5,𝔽2)12yes—
837C2×C4×C43—21no—
838C2×C4×C43—21no—
839C2×C4×C43—21no—
840C2×C4×C43—21no—
841C2×C4×C43—21no—
842C2×C4×C43—21no—
843C2×C4×C43—21no—
844C2×C4×C43—21no—
845C2×C4×C43—21no—
846C2×C4×C43—21no—
847C2×C4×C43—21no—
848C2×C4×C43—21no—
849C2×C4×C43—21no—
850C2×C4×C43—21no—
851C2×C4×C43—21no—
852C2×C4×C43—21no—
853C2×C4×C43—21no—
854C2×C4×C43—21no—
855C2×C4×C43—21no—
856C2×C4×C43—21no—
857C2×C4×C43—41no—
858C2×C4×C43—41no—
859C2×C4×C43—41no—
860C2×C4×C43—42no—
861C2×C4×C43—42no—
862C2×C4×C43—42no—
863C2×C4×C43—81no—
864C2×C4×C43—81no—
865C2×C4×C43—81no—
866C2×C4×C43—81no—
867C2×C4×C43—81no—
868C2×C4×C43—81no—
869C2×C4×C43—81no—
870C2×C4×C43—81no—
871C2×C4×C43—81no—
872C2×C4×C43—81no—
873C2×C4×C43—81no—
874C2×C4×C43C22×D411yescharacteristic
875C2×C4×C43C22×D411yescharacteristic
876C2×C4×C43C22×D411yescharacteristic
877C2×C4×C43C22×D411yescharacteristic
878C2×C4×C43C22×D411yescharacteristic
879C2×C4×C43C22×D411yescharacteristic
880C2×C4×C43C22×D411yescharacteristic
881C2×C4×C43C22×D411yescharacteristic
882C2×C4×C43C22×D411yescharacteristic
883C2×C4×C43C2511yescharacteristic
884C8×C43—21no—
885C8×C43—21no—
886C8×C43—21no—
887C8×C43—21no—
888C8×C43—21no—
889C8×C43—21no—
890C8×C43—21no—
891C8×C43—21no—
892#61610C4311yesmaximal, characteristic, direct product factor, Sylow
893C22×C43—21no—
894C22×C43—21no—
895C22×C43—21no—
896C22×C43—21no—
897C22×C43—21no—
898C22×C43—21no—
899C22×C43—21no—
900C22×C43—22no—
901C22×C43—22no—
902C22×C43—21no—
903C22×C43—21no—
904C22×C43—21no—
905C22×C43—21no—
906C22×C43—21no—
907C22×C43—21no—
908C22×C43—21no—
909C22×C43—44no—
910C22×C43—41no—
911C22×C43—41no—
912C22×C43—41no—
913C22×C43—41no—
914C22×C43—41no—
915C22×C43—41no—
916C22×C43—41no—
917C22×C43—41no—
918C22×C43—41no—
919C22×C43—41no—
920C22×C43—41no—
921C22×C43—41no—
922C22×C43—41no—
923C22×C43—41no—
924C22×C43—41no—
925C22×C43—41no—
926C22×C43—84no—
927C22×C43—84no—
928C22×C43—84no—
929C22×C43—84no—
930C22×C43—84no—
931C22×C43—84no—
932C22×C43—162no—
933C22×C43—162no—
934C22×C43#57712yes—
935C22×C43C23×D411yescharacteristic
936C4×C43—21no—
937C4×C43—21no—
938C4×C43—21no—
939C4×C43—21no—
940C4×C43—21no—
941C4×C43—21no—
942C4×C43—21no—
943C4×C43—21no—
944C4×C43—21no—
945C4×C43—41no—
946C4×C43—41no—
947C4×C43—41no—
948C4×C43—41no—
949C4×C43—41no—
950C4×C43—41no—
951C4×C43—41no—
952C4×C43—41no—
953C4×C43—41no—
954C4×C43—41no—
955C4×C43C2×H(5,𝔽2)11yescharacteristic
956C4×C43C2×H(5,𝔽2)11yescharacteristic
957#3541C2×C4311yescharacteristic, complemented
958#3484C2×C4311yescharacteristic, complemented
959#3324C2×C4311yescharacteristic, complemented
960#3323C2×C4311yescharacteristic, complemented
961#3318C2×C4311yescharacteristic, complemented
962#3314C2×C4311yescharacteristic, complemented
963#3311C2×C4311yescharacteristic, complemented
964#3310C2×C4311yescharacteristic, complemented
965#3297C2×C4311yescharacteristic, complemented
966#3295C2×C4311yescharacteristic, complemented
967#3282C2×C4311yescharacteristic, complemented
968D4×SD16C2×C4311yescharacteristic, complemented
969#3275C2×C4311yescharacteristic, complemented
970#3272C2×C4311yescharacteristic, complemented
971#3267C2×C4311yescharacteristic, complemented
972#3266C2×C4311yescharacteristic, complemented
973#3265C2×C4311yescharacteristic, complemented
974#3265C2×C4311yescharacteristic, complemented
975#3224C2×C4311yescharacteristic, complemented
976#3222C2×C4311yescharacteristic, complemented
977#3200C2×C4311yescharacteristic, complemented
978#3198C2×C4311yescharacteristic, complemented
979#3196C2×C4311yescharacteristic, complemented
980#3191C2×C4311yescharacteristic, complemented
981#3123C2×C4311yescharacteristic, complemented
982#3118C2×C4311yescharacteristic, complemented
983#3012C2×C4311yescharacteristic, complemented
984#3009C2×C4311yescharacteristic, complemented
985#3003C2×C4311yescharacteristic, complemented
986C2×#450C2×C4311yescharacteristic, complemented
987#2976C2×C4311yescharacteristic, complemented
988C2×C43—22no—
989C2×C43—41no—
990C2×C43—41no—
991C2×C43—41no—
992C2×C43—41no—
993C2×C43—42no—
994C2×C43—42no—
995C2×C43—81no—
996C2×C43—81no—
997C2×C43—81no—
998C2×C43—81no—
999C2×C43#348411yescharacteristic
1000C2×C43C2×#57711yescharacteristic
1001C2×C43#358511yescharacteristic
1002C2×H(5,𝔽2)C22×C4311yescharacteristic
1003C23×D4C22×C4311yescharacteristic
1004C2×#137C22×C4311yescharacteristic, complemented
1005C2×AGL(1,ℤ/8)C22×C4311yescharacteristic, complemented
1006C2×AGL(1,ℤ/8)C22×C4311yescharacteristic, complemented
1007C2×AGL(1,ℤ/8)C22×C4311yescharacteristic, complemented
1008C2×#135C22×C4311yescharacteristic, complemented
1009C22×SD16C22×C4311yescharacteristic, complemented
1010C22×SD16C22×C4311yescharacteristic, complemented
1011C22×SD16C22×C4311yescharacteristic, complemented
1012#563—21no—
1013#562—21no—
1014#556C22×C4311yescharacteristic, complemented
1015#554—21no—
1016#554C22×C4311yescharacteristic, complemented
1017#553—21no—
1018#553C22×C4311yescharacteristic, complemented
1019#552C22×C4311yescharacteristic, complemented
1020D4×Q8C22×C4311yescharacteristic, complemented
1021#548C22×C4311yescharacteristic, complemented
1022#548C22×C4311yescharacteristic, complemented
1023#547C22×C4311yescharacteristic, complemented
1024#546—21no—
1025#546—21no—
1026#546C22×C4311yescharacteristic
1027#546C22×C4311yescharacteristic
1028#546C22×C4311yescharacteristic
1029#546C22×C4311yescharacteristic
1030D42—21no—
1031D42—21no—
1032D42C22×C4311yescharacteristic
1033D42C22×C4311yescharacteristic
1034D42C22×C4311yescharacteristic
1035D42C22×C4311yescharacteristic
1036#542—21no—
1037#542C22×C4311yescharacteristic, complemented
1038#541C22×C4311yescharacteristic, complemented
1039#539—21no—
1040#538—21no—
1041#538—21no—
1042#537C22×C4311yescharacteristic, complemented
1043#536C22×C4311yescharacteristic, complemented
1044#535C22×C4311yescharacteristic
1045#535C22×C4311yescharacteristic
1046#534—21no—
1047#534—21no—
1048#525C22×C4311yescharacteristic
1049#525C22×C4311yescharacteristic
1050#525C22×C4311yescharacteristic, complemented
1051C2×C22⋊Q8C22×C4311yescharacteristic, complemented
1052C2×#120—21no—
1053C2×#120—21no—
1054#518C22×C4311yescharacteristic
1055#497C22×C4311yescharacteristic, complemented
1056#496C22×C4311yescharacteristic, complemented
1057#495C22×C4311yescharacteristic, complemented
1058#492C22×C4311yescharacteristic, complemented
1059#490C22×C4311yescharacteristic, complemented
1060#489C22×C4311yescharacteristic, complemented
1061#488C22×C4311yescharacteristic, complemented
1062#486C22×C4311yescharacteristic, complemented
1063#485C22×C4311yescharacteristic, complemented
1064#485C22×C4311yescharacteristic, complemented
1065#485C22×C4311yescharacteristic, complemented
1066#485C22×C4311yescharacteristic, complemented
1067#484C22×C4311yescharacteristic, complemented
1068#482C22×C4311yescharacteristic, complemented
1069#482C22×C4311yescharacteristic, complemented
1070#482C22×C4311yescharacteristic, complemented
1071#482C22×C4311yescharacteristic, complemented
1072#481C22×C4311yescharacteristic, complemented
1073#481C22×C4311yescharacteristic, complemented
1074#480C22×C4311yescharacteristic, complemented
1075#478C22×C4311yescharacteristic, complemented
1076#478C22×C4311yescharacteristic, complemented
1077#476C22×C4311yescharacteristic, complemented
1078#474C22×C4311yescharacteristic, complemented
1079#470C22×C4311yescharacteristic, complemented
1080#470C22×C4311yescharacteristic, complemented
1081#469C22×C4311yescharacteristic, complemented
1082#468C22×C4311yescharacteristic, complemented
1083#468C22×C4311yescharacteristic, complemented
1084#468C22×C4311yescharacteristic, complemented
1085#468C22×C4311yescharacteristic, complemented
1086#468C22×C4311yescharacteristic, complemented
1087#467C22×C4311yescharacteristic, complemented
1088#466C22×C4311yescharacteristic, complemented
1089#466C22×C4311yescharacteristic, complemented
1090#465C22×C4311yescharacteristic, complemented
1091#465C22×C4311yescharacteristic, complemented
1092#465C22×C4311yescharacteristic, complemented
1093#465C22×C4311yescharacteristic, complemented
1094#465C22×C4311yescharacteristic, complemented
1095#464C22×C4311yescharacteristic, complemented
1096#464C22×C4311yescharacteristic, complemented
1097#464C22×C4311yescharacteristic, complemented
1098#463C22×C4311yescharacteristic, complemented
1099#463C22×C4311yescharacteristic, complemented
1100#463C22×C4311yescharacteristic, complemented
1101#461C22×C4311yescharacteristic, complemented
1102#461C22×C4311yescharacteristic, complemented
1103#460C22×C4311yescharacteristic, complemented
1104#460C22×C4311yescharacteristic, complemented
1105#460C22×C4311yescharacteristic, complemented
1106#459C22×C4311yescharacteristic, complemented
1107#452C22×C4311yescharacteristic, complemented
1108#452C22×C4311yescharacteristic, complemented
1109#452C22×C4311yescharacteristic, complemented
1110#452C22×C4311yescharacteristic, complemented
1111#452C22×C4311yescharacteristic, complemented
1112#452C22×C4311yescharacteristic, complemented
1113#452C22×C4311yescharacteristic, complemented
1114#451C22×C4311yescharacteristic, complemented
1115#450C22×C4311yescharacteristic
1116#450C22×C4311yescharacteristic
1117#450C22×C4311yescharacteristic
1118#450C22×C4311yescharacteristic, complemented
1119#450C22×C4311yescharacteristic, complemented
1120#450C22×C4311yescharacteristic, complemented
1121#450C22×C4311yescharacteristic, complemented
1122#450C22×C4311yescharacteristic, complemented
1123#450C22×C4311yescharacteristic, complemented
1124#450C22×C4311yescharacteristic, complemented
1125#450C22×C4311yescharacteristic, complemented
1126#450C22×C4311yescharacteristic, complemented
1127#450C22×C4311yescharacteristic, complemented
1128#450C22×C4311yescharacteristic, complemented
1129#450C22×C4311yescharacteristic, complemented
1130#449C22×C4311yescharacteristic, complemented
1131#449C22×C4311yescharacteristic, complemented
1132#449C22×C4311yescharacteristic, complemented
1133#449C22×C4311yescharacteristic, complemented
1134#449C22×C4311yescharacteristic, complemented
1135#448C22×C4311yescharacteristic, complemented
1136#448C22×C4311yescharacteristic, complemented
1137#448C22×C4311yescharacteristic, complemented
1138#447C22×C4311yescharacteristic
1139#447C22×C4311yescharacteristic, complemented
1140#447C22×C4311yescharacteristic, complemented
1141#447C22×C4311yescharacteristic, complemented
1142#447C22×C4311yescharacteristic, complemented
1143#442C22×C4311yescharacteristic, complemented
1144#440C22×C4311yescharacteristic, complemented
1145#440C22×C4311yescharacteristic, complemented
1146#440C22×C4311yescharacteristic, complemented
1147C4×SD16C22×C4311yescharacteristic, complemented
1148C4×SD16C22×C4311yescharacteristic, complemented
1149C4×SD16C22×C4311yescharacteristic, complemented
1150C4×D8C22×C4311yescharacteristic, complemented
1151#436C22×C4311yescharacteristic, complemented
1152#436C22×C4311yescharacteristic, complemented
1153#435C22×C4311yescharacteristic, complemented
1154#435C22×C4311yescharacteristic, complemented
1155#435C22×C4311yescharacteristic, complemented
1156#435C22×C4311yescharacteristic, complemented
1157C8×D4C22×C4311yescharacteristic, complemented
1158C8×D4C22×C4311yescharacteristic, complemented
1159#433C22×C4311yescharacteristic, complemented
1160#433C22×C4311yescharacteristic, complemented
1161#418C22×C4311yescharacteristic, complemented
1162#418C22×C4311yescharacteristic, complemented
1163#418C22×C4311yescharacteristic, complemented
1164#417C22×C4311yescharacteristic, complemented
1165#416C22×C4311yescharacteristic, complemented
1166C2×#102C22×C4311yescharacteristic, complemented
1167C2×#102C22×C4311yescharacteristic, complemented
1168C2×#102C22×C4311yescharacteristic, complemented
1169#408C22×C4311yescharacteristic, complemented
1170#408C22×C4311yescharacteristic, complemented
1171#407C22×C4311yescharacteristic, complemented
1172C2×C22⋊C8C22×C4311yescharacteristic, complemented
1173C43#6161011yescharacteristic, direct product factor, Sylow
1174C25—21no—
1175H(5,𝔽2)—42no—
1176H(5,𝔽2)—42no—
1177C2×#41—21no—
1178C2×#41C23×C4311yescharacteristic
1179C2×#41C23×C4311yescharacteristic
1180C2×#41C23×C4311yescharacteristic
1181C2×#41C23×C4311yescharacteristic
1182C2×#41C23×C4311yescharacteristic
1183C2×#41C23×C4311yescharacteristic, complemented
1184C22×Q8C23×C4311yescharacteristic
1185C22×Q8C23×C4311yescharacteristic, complemented
1186C22×D4—21no—
1187C22×D4—21no—
1188C22×D4—21no—
1189C22×D4—21no—
1190C22×D4—21no—
1191C22×D4—21no—
1192C22×D4—21no—
1193C22×D4—21no—
1194C22×D4—21no—
1195C22×D4—21no—
1196C22×D4—42no—
1197C22×D4—42no—
1198C22×D4C23×C4311yescharacteristic
1199C22×D4C23×C4311yescharacteristic
1200C22×D4C23×C4311yescharacteristic
1201C22×D4C23×C4311yescharacteristic
1202C22×D4C23×C4311yescharacteristic
1203C22×D4C23×C4311yescharacteristic
1204C22×D4C23×C4311yescharacteristic
1205C22×D4C23×C4311yescharacteristic
1206C23×C4C23×C4311yescharacteristic
1207#137—42no—
1208AGL(1,ℤ/8)—42no—
1209AGL(1,ℤ/8)—42no—
1210AGL(1,ℤ/8)—42no—
1211#135—42no—
1212C2×Q16C23×C4311yescharacteristic, complemented
1213C2×Q16C23×C4311yescharacteristic, complemented
1214C2×Q16C23×C4311yescharacteristic, complemented
1215C2×SD16—42no—
1216C2×SD16—42no—
1217C2×SD16—42no—
1218C2×SD16C23×C4311yescharacteristic
1219C2×SD16C23×C4311yescharacteristic
1220C2×SD16C23×C4311yescharacteristic
1221C2×SD16C23×C4311yescharacteristic
1222C2×SD16C23×C4311yescharacteristic
1223C2×SD16C23×C4311yescharacteristic
1224C2×SD16C23×C4311yescharacteristic
1225C2×SD16C23×C4311yescharacteristic
1226C2×SD16C23×C4311yescharacteristic
1227C2×SD16C23×C4311yescharacteristic
1228C2×SD16C23×C4311yescharacteristic
1229C2×SD16C23×C4311yescharacteristic
1230C2×SD16C23×C4311yescharacteristic, complemented
1231C2×SD16C23×C4311yescharacteristic, complemented
1232C2×SD16C23×C4311yescharacteristic, complemented
1233C2×SD16C23×C4311yescharacteristic, complemented
1234C2×D8C23×C4311yescharacteristic
1235C2×D8C23×C4311yescharacteristic
1236C2×D8C23×C4311yescharacteristic
1237C2×D8C23×C4311yescharacteristic
1238C2×D8C23×C4311yescharacteristic, complemented
1239C2×M16C23×C4311yescharacteristic
1240C2×M16C23×C4311yescharacteristic
1241C2×M16C23×C4311yescharacteristic, complemented
1242C2×M16C23×C4311yescharacteristic, complemented
1243C22×C8C23×C4311yescharacteristic
1244C22×C8C23×C4311yescharacteristic
1245C22×C8C23×C4311yescharacteristic, complemented
1246C22×C8C23×C4311yescharacteristic, complemented
1247C4⋊Q8—21no—
1248C4⋊Q8—21no—
1249C4⋊Q8C23×C4311yescharacteristic, complemented
1250C4⋊Q8C23×C4311yescharacteristic, complemented
1251#127—21no—
1252#127C23×C4311yescharacteristic
1253#127C23×C4311yescharacteristic
1254#126—21no—
1255#126—21no—
1256#126—21no—
1257#126—21no—
1258#126—21no—
1259#126—21no—
1260#126—21no—
1261#125—21no—
1262#125—21no—
1263#125—21no—
1264#125—21no—
1265#125C23×C4311yescharacteristic, complemented
1266#124—21no—
1267#124—21no—
1268#124—21no—
1269#124—21no—
1270#124—21no—
1271#124—21no—
1272#124C23×C4311yescharacteristic
1273#124C23×C4311yescharacteristic
1274#124C23×C4311yescharacteristic, complemented
1275#123—21no—
1276#123—21no—
1277#123—21no—
1278#123—21no—
1279#123—21no—
1280#123—21no—
1281#123—21no—
1282#123—21no—
1283#123—21no—
1284#123—21no—
1285#123—21no—
1286#123—21no—
1287#123—21no—
1288#123D4×C4311yescharacteristic
1289#123D4×C4311yescharacteristic
1290C22⋊Q8—21no—
1291C22⋊Q8—21no—
1292C22⋊Q8—21no—
1293C22⋊Q8—21no—
1294C22⋊Q8—21no—
1295C22⋊Q8—21no—
1296C22⋊Q8—21no—
1297C22⋊Q8—21no—
1298C22⋊Q8—21no—
1299C22⋊Q8—21no—
1300C22⋊Q8D4×C4311yescharacteristic
1301C22⋊Q8D4×C4311yescharacteristic
1302C22⋊Q8C23×C4311yescharacteristic
1303C22⋊Q8C23×C4311yescharacteristic
1304C22⋊Q8C23×C4311yescharacteristic
1305C22⋊Q8C23×C4311yescharacteristic
1306C22⋊Q8C23×C4311yescharacteristic
1307C22⋊Q8C23×C4311yescharacteristic
1308C22⋊Q8C23×C4311yescharacteristic
1309C22⋊Q8C23×C4311yescharacteristic
1310C22⋊Q8C23×C4311yescharacteristic, complemented
1311C22⋊Q8C23×C4311yescharacteristic, complemented
1312C22⋊Q8C23×C4311yescharacteristic, complemented
1313#121—21no—
1314#121—21no—
1315#121—21no—
1316#121—21no—
1317#121—21no—
1318#121—21no—
1319#121—21no—
1320#121—21no—
1321#121—21no—
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#121D4×C4311yescharacteristic
1331#121D4×C4311yescharacteristic
1332#121C23×C4311yescharacteristic
1333#121C23×C4311yescharacteristic
1334#121C23×C4311yescharacteristic
1335#121C23×C4311yescharacteristic
1336#121C23×C4311yescharacteristic
1337#121C23×C4311yescharacteristic
1338#121C23×C4311yescharacteristic
1339#121C23×C4311yescharacteristic
1340#121C23×C4311yescharacteristic, complemented
1341#120—21no—
1342#120—21no—
1343#120—21no—
1344#120—21no—
1345#120—21no—
1346#120—21no—
1347#120—21no—
1348#120—21no—
1349#120—21no—
1350#120—21no—
1351#120—21no—
1352#120—21no—
1353#120—21no—
1354#120—21no—
1355#120—21no—
1356#120—21no—
1357#120—21no—
1358#120—21no—
1359#120D4×C4311yescharacteristic
1360#120D4×C4311yescharacteristic
1361C4×Q8—21no—
1362C4×Q8C23×C4311yescharacteristic, complemented
1363C4×Q8C23×C4311yescharacteristic, complemented
1364C4×Q8C23×C4311yescharacteristic, complemented
1365C4×D4—21no—
1366C4×D4—21no—
1367C4×D4—21no—
1368C4×D4—21no—
1369C4×D4—21no—
1370C4×D4—21no—
1371C4×D4—21no—
1372C4×D4—21no—
1373C4×D4—21no—
1374C4×D4—21no—
1375C4×D4—21no—
1376C4×D4C23×C4311yescharacteristic
1377C4×D4C23×C4311yescharacteristic
1378C4×D4C23×C4311yescharacteristic
1379C4×D4C23×C4311yescharacteristic
1380C4×D4C23×C4311yescharacteristic
1381C4×D4C23×C4311yescharacteristic
1382C4×D4C23×C4311yescharacteristic
1383C4×D4C23×C4311yescharacteristic
1384C4×D4C23×C4311yescharacteristic, complemented
1385#117—21no—
1386#117C23×C4311yescharacteristic
1387#117C23×C4311yescharacteristic
1388#117C23×C4311yescharacteristic
1389#117C23×C4311yescharacteristic, complemented
1390C2×C4⋊C4—21no—
1391C2×C4⋊C4—21no—
1392C2×C4⋊C4C23×C4311yescharacteristic
1393C2×C4⋊C4C23×C4311yescharacteristic, complemented
1394C2×C22⋊C4—21no—
1395C2×C22⋊C4—21no—
1396C2×C22⋊C4—21no—
1397C2×C22⋊C4—21no—
1398C2×C22⋊C4—21no—
1399C2×C22⋊C4—21no—
1400C2×C22⋊C4—21no—
1401#107C23×C4311yescharacteristic, complemented
1402#107C23×C4311yescharacteristic, complemented
1403#107C23×C4311yescharacteristic, complemented
1404#107C23×C4311yescharacteristic, complemented
1405#106C23×C4311yescharacteristic, complemented
1406#106C23×C4311yescharacteristic, complemented
1407#106C23×C4311yescharacteristic, complemented
1408#106C23×C4311yescharacteristic, complemented
1409C4⋊C8C23×C4311yescharacteristic, complemented
1410C4⋊C8C23×C4311yescharacteristic, complemented
1411C4⋊C8C23×C4311yescharacteristic, complemented
1412C4⋊C8C23×C4311yescharacteristic, complemented
1413#103C23×C4311yescharacteristic, complemented
1414#103C23×C4311yescharacteristic, complemented
1415#103C23×C4311yescharacteristic, complemented
1416#103C23×C4311yescharacteristic, complemented
1417#103C23×C4311yescharacteristic, complemented
1418#103C23×C4311yescharacteristic, complemented
1419#103C23×C4311yescharacteristic, complemented
1420#103C23×C4311yescharacteristic, complemented
1421#103C23×C4311yescharacteristic, complemented
1422#103C23×C4311yescharacteristic, complemented
1423#102C23×C4311yescharacteristic
1424#102C23×C4311yescharacteristic
1425#102C23×C4311yescharacteristic
1426#102C23×C4311yescharacteristic
1427#102C23×C4311yescharacteristic
1428#102C23×C4311yescharacteristic
1429#102C23×C4311yescharacteristic
1430#102C23×C4311yescharacteristic
1431#102C23×C4311yescharacteristic
1432#102C23×C4311yescharacteristic
1433#102C23×C4311yescharacteristic
1434#102C23×C4311yescharacteristic
1435#102C23×C4311yescharacteristic
1436#102C23×C4311yescharacteristic
1437#102C23×C4311yescharacteristic
1438#102C23×C4311yescharacteristic
1439#102C23×C4311yescharacteristic, complemented
1440#102C23×C4311yescharacteristic, complemented
1441#102C23×C4311yescharacteristic, complemented
1442#102C23×C4311yescharacteristic, complemented
1443#102C23×C4311yescharacteristic, complemented
1444#102C23×C4311yescharacteristic, complemented
1445C22⋊C8C23×C4311yescharacteristic
1446C22⋊C8C23×C4311yescharacteristic
1447C22⋊C8C23×C4311yescharacteristic
1448C22⋊C8C23×C4311yescharacteristic
1449C22⋊C8C23×C4311yescharacteristic
1450C22⋊C8C23×C4311yescharacteristic
1451C22⋊C8C23×C4311yescharacteristic
1452C22⋊C8C23×C4311yescharacteristic
1453C22⋊C8C23×C4311yescharacteristic, complemented
1454C22⋊C8C23×C4311yescharacteristic, complemented
1455C22⋊C8C23×C4311yescharacteristic, complemented
1456C22⋊C8C23×C4311yescharacteristic, complemented
1457#97C23×C4311yescharacteristic, complemented
1458#97C23×C4311yescharacteristic, complemented
1459C4×C8C23×C4311yescharacteristic, complemented
1460C4×C8C23×C4311yescharacteristic, complemented
1461C24—21no—
1462C24—21no—
1463C24—21no—
1464C24—21no—
1465C24—21no—
1466C24—21no—
1467C24—21no—
1468C24—21no—
1469C24—44no—
1470C24—82no—
1471C24—82no—
1472C24C2×D4×C4311yescharacteristic
1473#41—22no—
1474#41—22no—
1475#41—41no—
1476#41—41no—
1477#41—41no—
1478#41—41no—
1479#41—41no—
1480#41—41no—
1481#41—41no—
1482#41—41no—
1483#41—41no—
1484#41—41no—
1485#41—44no—
1486C2×Q8—21no—
1487C2×Q8—21no—
1488C2×Q8—21no—
1489C2×Q8—41no—
1490C2×Q8—41no—
1491C2×Q8—41no—
1492C2×Q8—41no—
1493C2×Q8C2×D4×C4311yescharacteristic
1494C2×Q8C24×C4311yescharacteristic
1495C2×Q8C24×C4311yescharacteristic
1496C2×Q8C24×C4311yescharacteristic
1497C2×Q8C24×C4311yescharacteristic
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—22no—
1501C2×D4—22no—
1502C2×D4—22no—
1503C2×D4—22no—
1504C2×D4—22no—
1505C2×D4—22no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—21no—
1530C2×D4—21no—
1531C2×D4—21no—
1532C2×D4—41no—
1533C2×D4—41no—
1534C2×D4—41no—
1535C2×D4—41no—
1536C2×D4—41no—
1537C2×D4—41no—
1538C2×D4—41no—
1539C2×D4—41no—
1540C2×D4—44no—
1541C2×D4—44no—
1542C2×D4—44no—
1543C2×D4—44no—
1544C2×D4—44no—
1545C2×D4—44no—
1546C2×D4—82no—
1547C2×D4—82no—
1548C2×D4—82no—
1549C2×D4—82no—
1550C2×D4C2×D4×C4311yescharacteristic
1551C2×D4C2×D4×C4311yescharacteristic
1552C2×D4C2×D4×C4311yescharacteristic
1553C2×D4C2×D4×C4311yescharacteristic
1554C2×D4C2×D4×C4311yescharacteristic
1555C2×D4C2×D4×C4311yescharacteristic
1556C2×D4C2×D4×C4311yescharacteristic
1557C2×D4C24×C4311yescharacteristic
1558C2×D4C24×C4311yescharacteristic
1559C2×D4C24×C4311yescharacteristic
1560C2×D4C24×C4311yescharacteristic
1561C2×D4C24×C4311yescharacteristic
1562C2×D4C24×C4311yescharacteristic
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—21no—
1567C22×C4—21no—
1568C22×C4—21no—
1569C22×C4—21no—
1570C22×C4—21no—
1571C22×C4—21no—
1572C22×C4—21no—
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—41no—
1578C22×C4—41no—
1579C22×C4C2×D4×C4311yescharacteristic
1580C22×C4C2×D4×C4311yescharacteristic
1581C22×C4C2×D4×C4311yescharacteristic
1582C22×C4C24×C4311yescharacteristic
1583C22×C4C24×C4311yescharacteristic
1584C22×C4C24×C4311yescharacteristic
1585C22×C4C24×C4311yescharacteristic
1586C22×C4C24×C4311yescharacteristic
1587Q16—41no—
1588Q16—41no—
1589Q16—41no—
1590SD16—22no—
1591SD16—22no—
1592SD16—22no—
1593SD16—22no—
1594SD16—22no—
1595SD16—22no—
1596SD16—41no—
1597SD16—41no—
1598SD16—41no—
1599SD16—41no—
1600SD16—41no—
1601SD16—41no—
1602SD16—41no—
1603SD16—41no—
1604SD16—41no—
1605SD16—41no—
1606D8—22no—
1607D8—22no—
1608D8—41no—
1609D8—41no—
1610D8—41no—
1611M16—41no—
1612M16—41no—
1613M16—41no—
1614M16—41no—
1615C2×C8—41no—
1616C2×C8—41no—
1617C2×C8—41no—
1618C2×C8—41no—
1619C2×C8C24×C4311yescharacteristic
1620C2×C8C24×C4311yescharacteristic
1621C2×C8C24×C4311yescharacteristic
1622C2×C8C24×C4311yescharacteristic
1623C2×C8C24×C4311yescharacteristic
1624C2×C8C24×C4311yescharacteristic
1625C2×C8C24×C4311yescharacteristic
1626C2×C8C24×C4311yescharacteristic
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
1633C4⋊C4—21no—
1634C4⋊C4—21no—
1635C4⋊C4—21no—
1636C4⋊C4—21no—
1637C4⋊C4—21no—
1638C4⋊C4—21no—
1639C4⋊C4—21no—
1640C4⋊C4—21no—
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—21no—
1646C4⋊C4—21no—
1647C4⋊C4—21no—
1648C4⋊C4C2×D4×C4311yescharacteristic
1649C4⋊C4C2×D4×C4311yescharacteristic
1650C4⋊C4C2×D4×C4311yescharacteristic
1651C4⋊C4C2×D4×C4311yescharacteristic
1652C4⋊C4C2×D4×C4311yescharacteristic
1653C4⋊C4C2×D4×C4311yescharacteristic
1654C4⋊C4C24×C4311yescharacteristic
1655C4⋊C4C24×C4311yescharacteristic
1656C4⋊C4C24×C4311yescharacteristic
1657C4⋊C4C24×C4311yescharacteristic
1658C4⋊C4C24×C4311yescharacteristic
1659C4⋊C4C24×C4311yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4C2×D4×C4311yescharacteristic
1695C22⋊C4C2×D4×C4311yescharacteristic
1696C22⋊C4C2×D4×C4311yescharacteristic
1697C22⋊C4C2×D4×C4311yescharacteristic
1698C22⋊C4C2×D4×C4311yescharacteristic
1699C22⋊C4C2×D4×C4311yescharacteristic
1700C22⋊C4C2×D4×C4311yescharacteristic
1701C22⋊C4C2×D4×C4311yescharacteristic
1702C22⋊C4C2×D4×C4311yescharacteristic
1703C22⋊C4C2×D4×C4311yescharacteristic
1704C42—21no—
1705C42—21no—
1706C42—21no—
1707C42—21no—
1708C42—21no—
1709C42—21no—
1710C42C24×C4311yescharacteristic
1711C42C24×C4311yescharacteristic
1712C23—24no—
1713C23—22no—
1714C23—21no—
1715C23—21no—
1716C23—21no—
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—41no—
1721C23—41no—
1722C23—42no—
1723C23—42no—
1724C23—42no—
1725C23—42no—
1726C23—42no—
1727C23—42no—
1728C23—42no—
1729C23—42no—
1730C23—42no—
1731C23—42no—
1732C23—42no—
1733C23—81no—
1734C23—81no—
1735C23—81no—
1736C23—81no—
1737C23—81no—
1738C23—81no—
1739C23—81no—
1740C23—81no—
1741C23—81no—
1742C23—81no—
1743C23—81no—
1744C23—81no—
1745C23—816no—
1746C23C22×D4×C4311yescharacteristic
1747C23C22×D4×C4311yescharacteristic
1748C23C22×D4×C4311yescharacteristic
1749C23C22×D4×C4311yescharacteristic
1750C23C22×D4×C4311yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—21no—
1756Q8—21no—
1757Q8—21no—
1758Q8—21no—
1759Q8—41no—
1760Q8—81no—
1761Q8—81no—
1762Q8—81no—
1763D4—24no—
1764D4—22no—
1765D4—22no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—21no—
1772D4—21no—
1773D4—21no—
1774D4—21no—
1775D4—21no—
1776D4—41no—
1777D4—41no—
1778D4—41no—
1779D4—41no—
1780D4—41no—
1781D4—42no—
1782D4—42no—
1783D4—42no—
1784D4—42no—
1785D4—42no—
1786D4—42no—
1787D4—42no—
1788D4—42no—
1789D4—42no—
1790D4—42no—
1791D4—42no—
1792D4—42no—
1793D4—42no—
1794D4—81no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—81no—
1800D4—81no—
1801D4—81no—
1802D4—81no—
1803D4—81no—
1804D4—81no—
1805D4—81no—
1806D4H(5,𝔽2)×C4312yes—
1807D4H(5,𝔽2)×C4312yes—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—41no—
1829C2×C4—41no—
1830C2×C4—41no—
1831C2×C4—42no—
1832C2×C4—42no—
1833C2×C4—42no—
1834C2×C4—81no—
1835C2×C4—81no—
1836C2×C4—81no—
1837C2×C4—81no—
1838C2×C4—81no—
1839C2×C4—81no—
1840C2×C4—81no—
1841C2×C4—81no—
1842C2×C4—81no—
1843C2×C4—81no—
1844C2×C4—81no—
1845C2×C4C22×D4×C4311yescharacteristic
1846C2×C4C22×D4×C4311yescharacteristic
1847C2×C4C22×D4×C4311yescharacteristic
1848C2×C4C22×D4×C4311yescharacteristic
1849C2×C4C22×D4×C4311yescharacteristic
1850C2×C4C22×D4×C4311yescharacteristic
1851C2×C4C22×D4×C4311yescharacteristic
1852C2×C4C22×D4×C4311yescharacteristic
1853C2×C4C22×D4×C4311yescharacteristic
1854C2×C4C25×C4311yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—21no—
1860C8—21no—
1861C8—21no—
1862C8—21no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—22no—
1870C22—22no—
1871C22—21no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—44no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—84no—
1897C22—84no—
1898C22—84no—
1899C22—84no—
1900C22—84no—
1901C22—84no—
1902C22—162no—
1903C22—162no—
1904C22C43×#57712yes—
1905C22C23×D4×C4311yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—21no—
1911C4—21no—
1912C4—21no—
1913C4—21no—
1914C4—21no—
1915C4—41no—
1916C4—41no—
1917C4—41no—
1918C4—41no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4C2×H(5,𝔽2)×C4311yescharacteristic
1926C4C2×H(5,𝔽2)×C4311yescharacteristic
1927C2—22no—
1928C2—41no—
1929C2—41no—
1930C2—41no—
1931C2—41no—
1932C2—42no—
1933C2—42no—
1934C2—81no—
1935C2—81no—
1936C2—81no—
1937C2—81no—
1938C2C43×#348411yescharacteristic
1939C2C2×C43×#57711yescharacteristic
1940C2C43×#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×#3541C2semidirect
2. C43×#3484C2semidirect
3. C43×#3324C2semidirect
4. C43×#3323C2semidirect
5. C43×#3318C2semidirect
6. C43×#3314C2semidirect
7. C43×#3311C2semidirect
8. C43×#3310C2semidirect
9. C43×#3297C2semidirect
10. C43×#3295C2semidirect
11. C43×#3282C2semidirect
12. D4×SD16×C43C2semidirect
13. C43×#3275C2semidirect
14. C43×#3272C2semidirect
15. C43×#3267C2semidirect
16. C43×#3266C2semidirect
17. C43×#3265C2semidirect
18. C43×#3265C2semidirect
19. C43×#3224C2semidirect
20. C43×#3222C2semidirect
21. C43×#3200C2semidirect
22. C43×#3198C2semidirect
23. C43×#3196C2semidirect
24. C43×#3191C2semidirect
25. C43×#3123C2semidirect
26. C43×#3118C2semidirect
27. C43×#3012C2semidirect
28. C43×#3009C2semidirect
29. C43×#3003C2semidirect
30. C2×C43×#450C2semidirect
31. C43×#2976C2semidirect
34. C2×#137×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×SD16×C43C22semidirect
40. C22×SD16×C43C22semidirect
41. C22×SD16×C43C22semidirect
44. C43×#556C22semidirect
46. C43×#554C22semidirect
48. C43×#553C22semidirect
49. C43×#552C22semidirect
50. D4×Q8×C43C22semidirect
51. C43×#548C22semidirect
52. C43×#548C22semidirect
53. C43×#547C22semidirect
67. C43×#542C22semidirect
68. C43×#541C22semidirect
72. C43×#537C22semidirect
73. C43×#536C22semidirect
80. C43×#525C22semidirect
81. C2×C22⋊Q8×C43C22semidirect
85. C43×#497C22semidirect
86. C43×#496C22semidirect
87. C43×#495C22semidirect
88. C43×#492C22semidirect
89. C43×#490C22semidirect
90. C43×#489C22semidirect
91. C43×#488C22semidirect
92. C43×#486C22semidirect
93. C43×#485C22semidirect
94. C43×#485C22semidirect
95. C43×#485C22semidirect
96. C43×#485C22semidirect
97. C43×#484C22semidirect
98. C43×#482C22semidirect
99. C43×#482C22semidirect
100. C43×#482C22semidirect
101. C43×#482C22semidirect
102. C43×#481C22semidirect
103. C43×#481C22semidirect
104. C43×#480C22semidirect
105. C43×#478C22semidirect
106. C43×#478C22semidirect
107. C43×#476C22semidirect
108. C43×#474C22semidirect
109. C43×#470C22semidirect
110. C43×#470C22semidirect
111. C43×#469C22semidirect
112. C43×#468C22semidirect
113. C43×#468C22semidirect
114. C43×#468C22semidirect
115. C43×#468C22semidirect
116. C43×#468C22semidirect
117. C43×#467C22semidirect
118. C43×#466C22semidirect
119. C43×#466C22semidirect
120. C43×#465C22semidirect
121. C43×#465C22semidirect
122. C43×#465C22semidirect
123. C43×#465C22semidirect
124. C43×#465C22semidirect
125. C43×#464C22semidirect
126. C43×#464C22semidirect
127. C43×#464C22semidirect
128. C43×#463C22semidirect
129. C43×#463C22semidirect
130. C43×#463C22semidirect
131. C43×#461C22semidirect
132. C43×#461C22semidirect
133. C43×#460C22semidirect
134. C43×#460C22semidirect
135. C43×#460C22semidirect
136. C43×#459C22semidirect
137. C43×#452C22semidirect
138. C43×#452C22semidirect
139. C43×#452C22semidirect
140. C43×#452C22semidirect
141. C43×#452C22semidirect
142. C43×#452C22semidirect
143. C43×#452C22semidirect
144. C43×#451C22semidirect
148. C43×#450C22semidirect
149. C43×#450C22semidirect
150. C43×#450C22semidirect
151. C43×#450C22semidirect
152. C43×#450C22semidirect
153. C43×#450C22semidirect
154. C43×#450C22semidirect
155. C43×#450C22semidirect
156. C43×#450C22semidirect
157. C43×#450C22semidirect
158. C43×#450C22semidirect
159. C43×#450C22semidirect
160. C43×#449C22semidirect
161. C43×#449C22semidirect
162. C43×#449C22semidirect
163. C43×#449C22semidirect
164. C43×#449C22semidirect
165. C43×#448C22semidirect
166. C43×#448C22semidirect
167. C43×#448C22semidirect
169. C43×#447C22semidirect
170. C43×#447C22semidirect
171. C43×#447C22semidirect
172. C43×#447C22semidirect
173. C43×#442C22semidirect
174. C43×#440C22semidirect
175. C43×#440C22semidirect
176. C43×#440C22semidirect
177. C4×SD16×C43C22semidirect
178. C4×SD16×C43C22semidirect
179. C4×SD16×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
212. C2×#41×C43C23semidirect
214. C22×Q8×C43C23semidirect
241. C2×Q16×C43C23semidirect
242. C2×Q16×C43C23semidirect
243. C2×Q16×C43C23semidirect
259. C2×SD16×C43C23semidirect
260. C2×SD16×C43C23semidirect
261. C2×SD16×C43C23semidirect
262. C2×SD16×C43C23semidirect
267. C2×D8×C43C23semidirect
270. C2×M16×C43C23semidirect
271. C2×M16×C43C23semidirect
274. C22×C8×C43C23semidirect
275. C22×C8×C43C23semidirect
278. C4⋊Q8×C43C23semidirect
279. C4⋊Q8×C43C23semidirect
294. #125×C43C23semidirect
303. #124×C43C23semidirect
339. C22⋊Q8×C43C23semidirect
340. C22⋊Q8×C43C23semidirect
341. C22⋊Q8×C43C23semidirect
369. #121×C43C23semidirect
391. C4×Q8×C43C23semidirect
392. C4×Q8×C43C23semidirect
393. C4×Q8×C43C23semidirect
413. C4×D4×C43C23semidirect
418. #117×C43C23semidirect
422. 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
448. #103×C43C23semidirect
449. #103×C43C23semidirect
450. #103×C43C23semidirect
451. #103×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
892. #61610C43direct (N × H)
957. #3541C2×C43semidirect
958. #3484C2×C43semidirect
959. #3324C2×C43semidirect
960. #3323C2×C43semidirect
961. #3318C2×C43semidirect
962. #3314C2×C43semidirect
963. #3311C2×C43semidirect
964. #3310C2×C43semidirect
965. #3297C2×C43semidirect
966. #3295C2×C43semidirect
967. #3282C2×C43semidirect
968. D4×SD16C2×C43semidirect
969. #3275C2×C43semidirect
970. #3272C2×C43semidirect
971. #3267C2×C43semidirect
972. #3266C2×C43semidirect
973. #3265C2×C43semidirect
974. #3265C2×C43semidirect
975. #3224C2×C43semidirect
976. #3222C2×C43semidirect
977. #3200C2×C43semidirect
978. #3198C2×C43semidirect
979. #3196C2×C43semidirect
980. #3191C2×C43semidirect
981. #3123C2×C43semidirect
982. #3118C2×C43semidirect
983. #3012C2×C43semidirect
984. #3009C2×C43semidirect
985. #3003C2×C43semidirect
986. C2×#450C2×C43semidirect
987. #2976C2×C43semidirect
1004. C2×#137C22×C43semidirect
1005. C2×AGL(1,ℤ/8)C22×C43semidirect
1006. C2×AGL(1,ℤ/8)C22×C43semidirect
1007. C2×AGL(1,ℤ/8)C22×C43semidirect
1008. C2×#135C22×C43semidirect
1009. C22×SD16C22×C43semidirect
1010. C22×SD16C22×C43semidirect
1011. C22×SD16C22×C43semidirect
1014. #556C22×C43semidirect
1016. #554C22×C43semidirect
1018. #553C22×C43semidirect
1019. #552C22×C43semidirect
1020. D4×Q8C22×C43semidirect
1021. #548C22×C43semidirect
1022. #548C22×C43semidirect
1023. #547C22×C43semidirect
1037. #542C22×C43semidirect
1038. #541C22×C43semidirect
1042. #537C22×C43semidirect
1043. #536C22×C43semidirect
1050. #525C22×C43semidirect
1051. C2×C22⋊Q8C22×C43semidirect
1055. #497C22×C43semidirect
1056. #496C22×C43semidirect
1057. #495C22×C43semidirect
1058. #492C22×C43semidirect
1059. #490C22×C43semidirect
1060. #489C22×C43semidirect
1061. #488C22×C43semidirect
1062. #486C22×C43semidirect
1063. #485C22×C43semidirect
1064. #485C22×C43semidirect
1065. #485C22×C43semidirect
1066. #485C22×C43semidirect
1067. #484C22×C43semidirect
1068. #482C22×C43semidirect
1069. #482C22×C43semidirect
1070. #482C22×C43semidirect
1071. #482C22×C43semidirect
1072. #481C22×C43semidirect
1073. #481C22×C43semidirect
1074. #480C22×C43semidirect
1075. #478C22×C43semidirect
1076. #478C22×C43semidirect
1077. #476C22×C43semidirect
1078. #474C22×C43semidirect
1079. #470C22×C43semidirect
1080. #470C22×C43semidirect
1081. #469C22×C43semidirect
1082. #468C22×C43semidirect
1083. #468C22×C43semidirect
1084. #468C22×C43semidirect
1085. #468C22×C43semidirect
1086. #468C22×C43semidirect
1087. #467C22×C43semidirect
1088. #466C22×C43semidirect
1089. #466C22×C43semidirect
1090. #465C22×C43semidirect
1091. #465C22×C43semidirect
1092. #465C22×C43semidirect
1093. #465C22×C43semidirect
1094. #465C22×C43semidirect
1095. #464C22×C43semidirect
1096. #464C22×C43semidirect
1097. #464C22×C43semidirect
1098. #463C22×C43semidirect
1099. #463C22×C43semidirect
1100. #463C22×C43semidirect
1101. #461C22×C43semidirect
1102. #461C22×C43semidirect
1103. #460C22×C43semidirect
1104. #460C22×C43semidirect
1105. #460C22×C43semidirect
1106. #459C22×C43semidirect
1107. #452C22×C43semidirect
1108. #452C22×C43semidirect
1109. #452C22×C43semidirect
1110. #452C22×C43semidirect
1111. #452C22×C43semidirect
1112. #452C22×C43semidirect
1113. #452C22×C43semidirect
1114. #451C22×C43semidirect
1118. #450C22×C43semidirect
1119. #450C22×C43semidirect
1120. #450C22×C43semidirect
1121. #450C22×C43semidirect
1122. #450C22×C43semidirect
1123. #450C22×C43semidirect
1124. #450C22×C43semidirect
1125. #450C22×C43semidirect
1126. #450C22×C43semidirect
1127. #450C22×C43semidirect
1128. #450C22×C43semidirect
1129. #450C22×C43semidirect
1130. #449C22×C43semidirect
1131. #449C22×C43semidirect
1132. #449C22×C43semidirect
1133. #449C22×C43semidirect
1134. #449C22×C43semidirect
1135. #448C22×C43semidirect
1136. #448C22×C43semidirect
1137. #448C22×C43semidirect
1139. #447C22×C43semidirect
1140. #447C22×C43semidirect
1141. #447C22×C43semidirect
1142. #447C22×C43semidirect
1143. #442C22×C43semidirect
1144. #440C22×C43semidirect
1145. #440C22×C43semidirect
1146. #440C22×C43semidirect
1147. C4×SD16C22×C43semidirect
1148. C4×SD16C22×C43semidirect
1149. C4×SD16C22×C43semidirect
1150. C4×D8C22×C43semidirect
1151. #436C22×C43semidirect
1152. #436C22×C43semidirect
1153. #435C22×C43semidirect
1154. #435C22×C43semidirect
1155. #435C22×C43semidirect
1156. #435C22×C43semidirect
1157. C8×D4C22×C43semidirect
1158. C8×D4C22×C43semidirect
1159. #433C22×C43semidirect
1160. #433C22×C43semidirect
1161. #418C22×C43semidirect
1162. #418C22×C43semidirect
1163. #418C22×C43semidirect
1164. #417C22×C43semidirect
1165. #416C22×C43semidirect
1166. C2×#102C22×C43semidirect
1167. C2×#102C22×C43semidirect
1168. C2×#102C22×C43semidirect
1169. #408C22×C43semidirect
1170. #408C22×C43semidirect
1171. #407C22×C43semidirect
1172. C2×C22⋊C8C22×C43semidirect
1173. C43#61610direct (N × H)
1183. C2×#41C23×C43semidirect
1185. C22×Q8C23×C43semidirect
1212. C2×Q16C23×C43semidirect
1213. C2×Q16C23×C43semidirect
1214. C2×Q16C23×C43semidirect
1230. C2×SD16C23×C43semidirect
1231. C2×SD16C23×C43semidirect
1232. C2×SD16C23×C43semidirect
1233. C2×SD16C23×C43semidirect
1238. C2×D8C23×C43semidirect
1241. C2×M16C23×C43semidirect
1242. C2×M16C23×C43semidirect
1245. C22×C8C23×C43semidirect
1246. C22×C8C23×C43semidirect
1249. C4⋊Q8C23×C43semidirect
1250. C4⋊Q8C23×C43semidirect
1265. #125C23×C43semidirect
1274. #124C23×C43semidirect
1310. C22⋊Q8C23×C43semidirect
1311. C22⋊Q8C23×C43semidirect
1312. C22⋊Q8C23×C43semidirect
1340. #121C23×C43semidirect
1362. C4×Q8C23×C43semidirect
1363. C4×Q8C23×C43semidirect
1364. C4×Q8C23×C43semidirect
1384. C4×D4C23×C43semidirect
1389. #117C23×C43semidirect
1393. C2×C4⋊C4C23×C43semidirect
1401. #107C23×C43semidirect
1402. #107C23×C43semidirect
1403. #107C23×C43semidirect
1404. #107C23×C43semidirect
1405. #106C23×C43semidirect
1406. #106C23×C43semidirect
1407. #106C23×C43semidirect
1408. #106C23×C43semidirect
1409. C4⋊C8C23×C43semidirect
1410. C4⋊C8C23×C43semidirect
1411. C4⋊C8C23×C43semidirect
1412. C4⋊C8C23×C43semidirect
1413. #103C23×C43semidirect
1414. #103C23×C43semidirect
1415. #103C23×C43semidirect
1416. #103C23×C43semidirect
1417. #103C23×C43semidirect
1418. #103C23×C43semidirect
1419. #103C23×C43semidirect
1420. #103C23×C43semidirect
1421. #103C23×C43semidirect
1422. #103C23×C43semidirect
1439. #102C23×C43semidirect
1440. #102C23×C43semidirect
1441. #102C23×C43semidirect
1442. #102C23×C43semidirect
1443. #102C23×C43semidirect
1444. #102C23×C43semidirect
1453. C22⋊C8C23×C43semidirect
1454. C22⋊C8C23×C43semidirect
1455. C22⋊C8C23×C43semidirect
1456. C22⋊C8C23×C43semidirect
1457. #97C23×C43semidirect
1458. #97C23×C43semidirect
1459. C4×C8C23×C43semidirect
1460. C4×C8C23×C43semidirect

Maximal subgroups

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

subgroupindex
C43×#35412
C43×#34842
C43×#33242
C43×#33232
C43×#33182
C43×#33142
C43×#33112
C43×#33102
C43×#32972
C43×#32952
C43×#32822
D4×SD16×C432
C43×#32752
C43×#32722
C43×#32672
C43×#32662
C43×#32652
C43×#32242
C43×#32222
C43×#32002
C43×#31982
C43×#31962
C43×#31912
C43×#31232
C43×#31182
C43×#30122
C43×#30092
C43×#30032
C2×C43×#4502
C43×#29762
#6161043