Finite Group Databasebeta

← C43×#61628 #24981645

Subgroups — C43×#61628 #24981645

Order 11008.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3539C211yesmaximal, characteristic, complemented
2C43×#3488C211yesmaximal, characteristic, complemented
3C43×#3327C211yesmaximal, characteristic, complemented
4C43×#3326C211yesmaximal, characteristic, complemented
5C43×#3318C211yesmaximal, characteristic, complemented
6C43×#3317C211yesmaximal, characteristic, complemented
7C43×#3310C211yesmaximal, characteristic, complemented
8C43×#3309C211yesmaximal, characteristic, complemented
9C43×#3297C211yesmaximal, characteristic, complemented
10C43×#3296C211yesmaximal, characteristic, complemented
11C43×#3287C211yesmaximal, characteristic, complemented
12C43×#3284C211yesmaximal, characteristic, complemented
13C43×#3274C211yesmaximal, characteristic, complemented
14C43×#3272C211yesmaximal, characteristic, complemented
15C43×#3271C211yesmaximal, characteristic, complemented
16C43×#3269C211yesmaximal, characteristic, complemented
17C43×#3268C211yesmaximal, characteristic, complemented
18C43×#3267C211yesmaximal, characteristic, complemented
19C43×#3222C211yesmaximal, characteristic, complemented
20C43×#3220C211yesmaximal, characteristic, complemented
21C43×#3204C211yesmaximal, characteristic, complemented
22C43×#3203C211yesmaximal, characteristic, complemented
23C43×#3194C211yesmaximal, characteristic, complemented
24C43×#3188C211yesmaximal, characteristic, complemented
25C43×#3120C211yesmaximal, characteristic, complemented
26C43×#3119C211yesmaximal, characteristic, complemented
27C43×#3012C211yesmaximal, characteristic, complemented
28C43×#3012C211yesmaximal, characteristic, complemented
29C43×#3005C211yesmaximal, characteristic, complemented
30C43×#3002C211yesmaximal, characteristic, complemented
31C43×#2976C211yesmaximal, characteristic, complemented
32C2×H(5,𝔽2)×C43C2211yescharacteristic
33C22×#41×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
39C2×#135×C43C2211yescharacteristic, complemented
40C2×#135×C43C2211yescharacteristic, complemented
41C2×#135×C43C2211yescharacteristic, complemented
42C43×#560—21no—
43C43×#560—21no—
44C43×#553—21no—
45C43×#553—21no—
46C43×#553C2211yescharacteristic, complemented
47C43×#553C2211yescharacteristic, complemented
48C43×#552C2211yescharacteristic, complemented
49C43×#552C2211yescharacteristic, complemented
50C43×#550C2211yescharacteristic
51C43×#550C2211yescharacteristic
52C43×#550C2211yescharacteristic, complemented
53C43×#550C2211yescharacteristic, complemented
54C43×#548C2211yescharacteristic
55C43×#548C2211yescharacteristic
56C43×#547C2211yescharacteristic, complemented
57C43×#547C2211yescharacteristic, complemented
58C43×#546—21no—
59C43×#546—21no—
60C43×#546C2211yescharacteristic
61C43×#546C2211yescharacteristic
62D42×C43—21no—
63D42×C43—21no—
64D42×C43C2211yescharacteristic
65D42×C43C2211yescharacteristic
66C43×#541C2211yescharacteristic, complemented
67C43×#540—21no—
68C43×#540—21no—
69C43×#540C2211yescharacteristic, complemented
70C43×#539—21no—
71C43×#539—21no—
72C43×#537—21no—
73C43×#537C2211yescharacteristic
74C43×#537C2211yescharacteristic, complemented
75C43×#537C2211yescharacteristic, complemented
76C43×#535—21no—
77C43×#535C2211yescharacteristic
78C43×#525—21no—
79C43×#525C2211yescharacteristic
80C43×#525C2211yescharacteristic, complemented
81C43×#525C2211yescharacteristic, complemented
82C2×#121×C43—21no—
83C2×#121×C43C2211yescharacteristic
84C43×#520C2211yescharacteristic
85C43×#497C2211yescharacteristic, complemented
86C43×#496C2211yescharacteristic, complemented
87C43×#493C2211yescharacteristic, complemented
88C43×#492C2211yescharacteristic, complemented
89C43×#490C2211yescharacteristic, complemented
90C43×#490C2211yescharacteristic, complemented
91C43×#488C2211yescharacteristic, complemented
92C43×#488C2211yescharacteristic, complemented
93C43×#484C2211yescharacteristic, complemented
94C43×#484C2211yescharacteristic, complemented
95C43×#483C2211yescharacteristic, complemented
96C43×#483C2211yescharacteristic, complemented
97C43×#482C2211yescharacteristic, complemented
98C43×#482C2211yescharacteristic, complemented
99C43×#482C2211yescharacteristic, complemented
100C43×#482C2211yescharacteristic, complemented
101C43×#481C2211yescharacteristic, complemented
102C43×#481C2211yescharacteristic, complemented
103C43×#480C2211yescharacteristic, complemented
104C43×#480C2211yescharacteristic, complemented
105C43×#479C2211yescharacteristic, complemented
106C43×#479C2211yescharacteristic, complemented
107C43×#478C2211yescharacteristic, complemented
108C43×#478C2211yescharacteristic, complemented
109C43×#470C2211yescharacteristic, complemented
110C43×#469C2211yescharacteristic, complemented
111C43×#469C2211yescharacteristic, complemented
112C43×#469C2211yescharacteristic, complemented
113C43×#468C2211yescharacteristic, complemented
114C43×#468C2211yescharacteristic, complemented
115C43×#468C2211yescharacteristic, complemented
116C43×#468C2211yescharacteristic, complemented
117C43×#467C2211yescharacteristic, complemented
118C43×#466C2211yescharacteristic, complemented
119C43×#466C2211yescharacteristic, complemented
120C43×#466C2211yescharacteristic, complemented
121C43×#465C2211yescharacteristic, complemented
122C43×#465C2211yescharacteristic, complemented
123C43×#465C2211yescharacteristic, complemented
124C43×#465C2211yescharacteristic, complemented
125C43×#464C2211yescharacteristic, complemented
126C43×#464C2211yescharacteristic, complemented
127C43×#463C2211yescharacteristic, complemented
128C43×#463C2211yescharacteristic, complemented
129C43×#462C2211yescharacteristic, complemented
130C43×#461C2211yescharacteristic, complemented
131C43×#460C2211yescharacteristic, complemented
132C43×#460C2211yescharacteristic, complemented
133C43×#460C2211yescharacteristic, complemented
134C43×#459C2211yescharacteristic, complemented
135C43×#459C2211yescharacteristic, complemented
136C43×#459C2211yescharacteristic, complemented
137C43×#452C2211yescharacteristic
138C43×#452C2211yescharacteristic
139C43×#452C2211yescharacteristic, complemented
140C43×#452C2211yescharacteristic, complemented
141C43×#452C2211yescharacteristic, complemented
142C43×#452C2211yescharacteristic, complemented
143C43×#452C2211yescharacteristic, complemented
144C43×#452C2211yescharacteristic, complemented
145C43×#452C2211yescharacteristic, complemented
146C43×#452C2211yescharacteristic, complemented
147C43×#451C2211yescharacteristic, complemented
148C43×#450C2211yescharacteristic, complemented
149C43×#450C2211yescharacteristic, complemented
150C43×#450C2211yescharacteristic, complemented
151C43×#450C2211yescharacteristic, complemented
152C43×#450C2211yescharacteristic, complemented
153C43×#449C2211yescharacteristic
154C43×#449C2211yescharacteristic
155C43×#449C2211yescharacteristic, complemented
156C43×#449C2211yescharacteristic, complemented
157C43×#449C2211yescharacteristic, complemented
158C43×#449C2211yescharacteristic, complemented
159C43×#449C2211yescharacteristic, complemented
160C43×#449C2211yescharacteristic, complemented
161C43×#449C2211yescharacteristic, complemented
162C43×#449C2211yescharacteristic, complemented
163C43×#449C2211yescharacteristic, complemented
164C43×#449C2211yescharacteristic, complemented
165C43×#449C2211yescharacteristic, complemented
166C43×#449C2211yescharacteristic, complemented
167C43×#448C2211yescharacteristic, complemented
168C43×#447C2211yescharacteristic, complemented
169C43×#447C2211yescharacteristic, complemented
170C43×#447C2211yescharacteristic, complemented
171C43×#447C2211yescharacteristic, complemented
172C43×#447C2211yescharacteristic, complemented
173C43×#442C2211yescharacteristic, complemented
174C43×#441C2211yescharacteristic, complemented
175C43×#440C2211yescharacteristic, complemented
176C43×#440C2211yescharacteristic, complemented
177C4×Q16×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×#419C2211yescharacteristic, complemented
192C43×#418C2211yescharacteristic, complemented
193C43×#417C2211yescharacteristic, complemented
194C43×#417C2211yescharacteristic, complemented
195C43×#416C2211yescharacteristic, complemented
196C43×#416C2211yescharacteristic, complemented
197C2×#102×C43C2211yescharacteristic, complemented
198C2×#102×C43C2211yescharacteristic, complemented
199C43×#408C2211yescharacteristic, complemented
200C43×#408C2211yescharacteristic, complemented
201C43×#407C2211yescharacteristic, complemented
202C2×C22⋊C8×C43C2211yescharacteristic, complemented
203H(5,𝔽2)×C43—42no—
204H(5,𝔽2)×C43—42no—
205C2×#41×C43—21no—
206C2×#41×C43—21no—
207C2×#41×C43—21no—
208C2×#41×C43—42no—
209C2×#41×C43—42no—
210C2×#41×C43C2311yescharacteristic
211C2×#41×C43C2311yescharacteristic
212C2×#41×C43C2311yescharacteristic
213C2×#41×C43C2311yescharacteristic
214C2×#41×C43C2311yescharacteristic
215C2×#41×C43C2311yescharacteristic
216C2×#41×C43C2311yescharacteristic
217C2×#41×C43C2311yescharacteristic
218C2×#41×C43C2311yescharacteristic
219C2×#41×C43C2311yescharacteristic
220C2×#41×C43C2311yescharacteristic
221C22×Q8×C43C2311yescharacteristic
222C22×D4×C43—21no—
223C22×D4×C43—21no—
224C22×D4×C43—21no—
225C22×D4×C43—21no—
226C22×D4×C43—21no—
227C22×D4×C43—21no—
228C22×D4×C43—21no—
229C22×D4×C43C2311yescharacteristic
230C22×D4×C43C2311yescharacteristic
231C22×D4×C43C2311yescharacteristic
232C22×D4×C43C2311yescharacteristic
233C23×C4×C43—21no—
234C23×C4×C43C2311yescharacteristic
235#137×C43—42no—
236AGL(1,ℤ/8)×C43—42no—
237AGL(1,ℤ/8)×C43—42no—
238AGL(1,ℤ/8)×C43—42no—
239#135×C43—42no—
240#135×C43—42no—
241#135×C43—42no—
242#135×C43—42no—
243C2×Q16×C43C2311yescharacteristic
244C2×Q16×C43C2311yescharacteristic
245C2×Q16×C43C2311yescharacteristic
246C2×Q16×C43C2311yescharacteristic
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×D8×C43C2311yescharacteristic
260C2×D8×C43C2311yescharacteristic
261C2×D8×C43C2311yescharacteristic
262C2×D8×C43C2311yescharacteristic
263C2×D8×C43C2311yescharacteristic
264C2×D8×C43C2311yescharacteristic
265C2×D8×C43C2311yescharacteristic
266C2×D8×C43C2311yescharacteristic
267C2×M16×C43C2311yescharacteristic
268C2×M16×C43C2311yescharacteristic
269C2×M16×C43C2311yescharacteristic
270C2×M16×C43C2311yescharacteristic
271C22×C8×C43C2311yescharacteristic
272C22×C8×C43C2311yescharacteristic
273C22×C8×C43C2311yescharacteristic
274C22×C8×C43C2311yescharacteristic
275C4⋊Q8×C43C2311yescharacteristic
276#127×C43—21no—
277#127×C43—21no—
278#127×C43—21no—
279#127×C43—21no—
280#127×C43C2311yescharacteristic
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#125×C43—21no—
290#125×C43—21no—
291#125×C43—21no—
292#125×C43—21no—
293#125×C43C2311yescharacteristic
294#125×C43C2311yescharacteristic
295#124×C43—21no—
296#124×C43—21no—
297#124×C43C2311yescharacteristic
298#124×C43C2311yescharacteristic
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×C43D411yescharacteristic
314#123×C43D411yescharacteristic
315C22⋊Q8×C43—21no—
316C22⋊Q8×C43—21no—
317C22⋊Q8×C43—21no—
318C22⋊Q8×C43—21no—
319C22⋊Q8×C43—21no—
320C22⋊Q8×C43D411yescharacteristic
321C22⋊Q8×C43D411yescharacteristic
322C22⋊Q8×C43C2311yescharacteristic
323C22⋊Q8×C43C2311yescharacteristic
324C22⋊Q8×C43C2311yescharacteristic
325C22⋊Q8×C43C2311yescharacteristic
326C22⋊Q8×C43C2311yescharacteristic
327C22⋊Q8×C43C2311yescharacteristic
328C22⋊Q8×C43C2311yescharacteristic
329C22⋊Q8×C43C2311yescharacteristic
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×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×C43—21no—
360#121×C43—21no—
361#121×C43—21no—
362#121×C43—21no—
363#121×C43D411yescharacteristic
364#121×C43D411yescharacteristic
365#121×C43C2311yescharacteristic
366#121×C43C2311yescharacteristic
367#121×C43C2311yescharacteristic
368#121×C43C2311yescharacteristic
369#121×C43C2311yescharacteristic
370#121×C43C2311yescharacteristic
371#121×C43C2311yescharacteristic
372#121×C43C2311yescharacteristic
373#121×C43C2311yescharacteristic
374#121×C43C2311yescharacteristic
375#121×C43C2311yescharacteristic
376#121×C43C2311yescharacteristic
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×C43D411yescharacteristic
388#120×C43D411yescharacteristic
389C4×Q8×C43C2311yescharacteristic
390C4×Q8×C43C2311yescharacteristic
391C4×Q8×C43C2311yescharacteristic
392C4×Q8×C43C2311yescharacteristic
393C4×D4×C43—21no—
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×C43—21no—
406C4×D4×C43—21no—
407C4×D4×C43C2311yescharacteristic
408C4×D4×C43C2311yescharacteristic
409C4×D4×C43C2311yescharacteristic
410C4×D4×C43C2311yescharacteristic
411C4×D4×C43C2311yescharacteristic
412C4×D4×C43C2311yescharacteristic
413C4×D4×C43C2311yescharacteristic
414C4×D4×C43C2311yescharacteristic
415#117×C43—21no—
416#117×C43—21no—
417#117×C43—21no—
418#117×C43C2311yescharacteristic
419#117×C43C2311yescharacteristic
420#117×C43C2311yescharacteristic
421C2×C4⋊C4×C43—21no—
422C2×C4⋊C4×C43—21no—
423C2×C4⋊C4×C43—21no—
424C2×C4⋊C4×C43C2311yescharacteristic
425C2×C4⋊C4×C43C2311yescharacteristic
426C2×C4⋊C4×C43C2311yescharacteristic
427C2×C22⋊C4×C43—21no—
428C2×C22⋊C4×C43—21no—
429C2×C22⋊C4×C43—21no—
430#107×C43C2311yescharacteristic
431#107×C43C2311yescharacteristic
432#107×C43C2311yescharacteristic
433#107×C43C2311yescharacteristic
434#106×C43C2311yescharacteristic
435#106×C43C2311yescharacteristic
436#106×C43C2311yescharacteristic
437#106×C43C2311yescharacteristic
438C4⋊C8×C43C2311yescharacteristic
439C4⋊C8×C43C2311yescharacteristic
440C4⋊C8×C43C2311yescharacteristic
441C4⋊C8×C43C2311yescharacteristic
442#103×C43C2311yescharacteristic
443#103×C43C2311yescharacteristic
444#103×C43C2311yescharacteristic
445#103×C43C2311yescharacteristic
446#103×C43C2311yescharacteristic
447#103×C43C2311yescharacteristic
448#103×C43C2311yescharacteristic
449#103×C43C2311yescharacteristic
450#103×C43C2311yescharacteristic
451#103×C43C2311yescharacteristic
452#103×C43C2311yescharacteristic
453#103×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
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
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
483C22⋊C8×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486#97×C43C2311yescharacteristic
487#97×C43C2311yescharacteristic
488C4×C8×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C24×C43—21no—
491C24×C43—21no—
492C24×C43—21no—
493C24×C43—21no—
494C24×C43C2×D411yescharacteristic
495#41×C43—22no—
496#41×C43—22no—
497#41×C43—22no—
498#41×C43—22no—
499#41×C43—22no—
500#41×C43—22no—
501#41×C43—41no—
502#41×C43—41no—
503#41×C43—41no—
504#41×C43—41no—
505#41×C43—41no—
506#41×C43—41no—
507#41×C43—41no—
508#41×C43—41no—
509#41×C43—44no—
510#41×C43—44no—
511#41×C43—41no—
512#41×C43—41no—
513#41×C43—41no—
514#41×C43—41no—
515#41×C43—41no—
516#41×C43—41no—
517#41×C43—41no—
518#41×C43—41no—
519#41×C43—44no—
520C2×Q8×C43—21no—
521C2×Q8×C43—22no—
522C2×Q8×C43—41no—
523C2×Q8×C43C2×D411yescharacteristic
524C2×Q8×C43C2411yescharacteristic
525C2×Q8×C43C2411yescharacteristic
526C2×Q8×C43C2411yescharacteristic
527C2×Q8×C43C2411yescharacteristic
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—41no—
564C2×D4×C43—41no—
565C2×D4×C43—41no—
566C2×D4×C43—41no—
567C2×D4×C43—41no—
568C2×D4×C43—44no—
569C2×D4×C43—44no—
570C2×D4×C43—44no—
571C2×D4×C43—44no—
572C2×D4×C43—82no—
573C2×D4×C43—82no—
574C2×D4×C43—82no—
575C2×D4×C43C2×D411yescharacteristic
576C2×D4×C43C2×D411yescharacteristic
577C2×D4×C43C2×D411yescharacteristic
578C2×D4×C43C2×D411yescharacteristic
579C2×D4×C43C2×D411yescharacteristic
580C2×D4×C43C2×D411yescharacteristic
581C2×D4×C43C2×D411yescharacteristic
582C2×D4×C43C2411yescharacteristic
583C2×D4×C43C2411yescharacteristic
584C2×D4×C43C2411yescharacteristic
585C2×D4×C43C2411yescharacteristic
586C2×D4×C43C2411yescharacteristic
587C2×D4×C43C2411yescharacteristic
588C22×C4×C43—21no—
589C22×C4×C43—21no—
590C22×C4×C43—21no—
591C22×C4×C43—21no—
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×C43—44no—
609C22×C4×C43C2×D411yescharacteristic
610C22×C4×C43C2×D411yescharacteristic
611C22×C4×C43C2×D411yescharacteristic
612C22×C4×C43C2411yescharacteristic
613C22×C4×C43C2411yescharacteristic
614C22×C4×C43C2411yescharacteristic
615C22×C4×C43C2411yescharacteristic
616C22×C4×C43C2411yescharacteristic
617Q16×C43—22no—
618Q16×C43—22no—
619Q16×C43—41no—
620Q16×C43—41no—
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—
633D8×C43—22no—
634D8×C43—22no—
635D8×C43—41no—
636D8×C43—41no—
637D8×C43—41no—
638D8×C43—41no—
639D8×C43—41no—
640D8×C43—41no—
641M16×C43—41no—
642M16×C43—41no—
643M16×C43—41no—
644M16×C43—41no—
645C2×C8×C43—41no—
646C2×C8×C43—41no—
647C2×C8×C43—41no—
648C2×C8×C43—41no—
649C2×C8×C43C2411yescharacteristic
650C2×C8×C43C2411yescharacteristic
651C2×C8×C43C2411yescharacteristic
652C2×C8×C43C2411yescharacteristic
653C2×C8×C43C2411yescharacteristic
654C2×C8×C43C2411yescharacteristic
655C2×C8×C43C2411yescharacteristic
656C2×C8×C43C2411yescharacteristic
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×C43—21no—
678C4⋊C4×C43C2×D411yescharacteristic
679C4⋊C4×C43C2×D411yescharacteristic
680C4⋊C4×C43C2×D411yescharacteristic
681C4⋊C4×C43C2×D411yescharacteristic
682C4⋊C4×C43C2×D411yescharacteristic
683C4⋊C4×C43C2×D411yescharacteristic
684C4⋊C4×C43C2411yescharacteristic
685C4⋊C4×C43C2411yescharacteristic
686C4⋊C4×C43C2411yescharacteristic
687C4⋊C4×C43C2411yescharacteristic
688C4⋊C4×C43C2411yescharacteristic
689C4⋊C4×C43C2411yescharacteristic
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×C43C2×D411yescharacteristic
721C22⋊C4×C43C2×D411yescharacteristic
722C22⋊C4×C43C2×D411yescharacteristic
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
730C42×C43—21no—
731C42×C43—21no—
732C42×C43—21no—
733C42×C43—21no—
734C42×C43—21no—
735C42×C43—21no—
736C42×C43C2411yescharacteristic
737C42×C43C2411yescharacteristic
738C23×C43—21no—
739C23×C43—21no—
740C23×C43—21no—
741C23×C43—21no—
742C23×C43—21no—
743C23×C43—21no—
744C23×C43—41no—
745C23×C43—41no—
746C23×C43—41no—
747C23×C43—42no—
748C23×C43—42no—
749C23×C43—42no—
750C23×C43—42no—
751C23×C43—42no—
752C23×C43—81no—
753C23×C43—81no—
754C23×C43—81no—
755C23×C43—81no—
756C23×C43—81no—
757C23×C43—81no—
758C23×C43—81no—
759C23×C43C22×D411yescharacteristic
760C23×C43C22×D411yescharacteristic
761C23×C43C22×D411yescharacteristic
762C23×C43C22×D411yescharacteristic
763C23×C43C22×D411yescharacteristic
764Q8×C43—21no—
765Q8×C43—21no—
766Q8×C43—21no—
767Q8×C43—21no—
768Q8×C43—21no—
769Q8×C43—21no—
770Q8×C43—21no—
771Q8×C43—41no—
772Q8×C43—42no—
773Q8×C43H(5,𝔽2)12yes—
774D4×C43—24no—
775D4×C43—21no—
776D4×C43—21no—
777D4×C43—21no—
778D4×C43—21no—
779D4×C43—21no—
780D4×C43—21no—
781D4×C43—21no—
782D4×C43—21no—
783D4×C43—21no—
784D4×C43—21no—
785D4×C43—21no—
786D4×C43—41no—
787D4×C43—41no—
788D4×C43—41no—
789D4×C43—41no—
790D4×C43—41no—
791D4×C43—41no—
792D4×C43—41no—
793D4×C43—42no—
794D4×C43—42no—
795D4×C43—42no—
796D4×C43—42no—
797D4×C43—42no—
798D4×C43—42no—
799D4×C43—42no—
800D4×C43—42no—
801D4×C43—42no—
802D4×C43—42no—
803D4×C43—42no—
804D4×C43—81no—
805D4×C43—81no—
806D4×C43—81no—
807D4×C43—81no—
808D4×C43—81no—
809D4×C43—81no—
810D4×C43—81no—
811D4×C43—81no—
812D4×C43—81no—
813D4×C43—81no—
814D4×C43—81no—
815D4×C43—81no—
816D4×C43—81no—
817D4×C43—81no—
818D4×C43—81no—
819D4×C43—81no—
820D4×C43—81no—
821D4×C43—81no—
822D4×C43—81no—
823D4×C43—81no—
824D4×C43H(5,𝔽2)12yes—
825C2×C4×C43—24no—
826C2×C4×C43—21no—
827C2×C4×C43—21no—
828C2×C4×C43—21no—
829C2×C4×C43—21no—
830C2×C4×C43—21no—
831C2×C4×C43—21no—
832C2×C4×C43—21no—
833C2×C4×C43—21no—
834C2×C4×C43—21no—
835C2×C4×C43—21no—
836C2×C4×C43—21no—
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—41no—
847C2×C4×C43—41no—
848C2×C4×C43—41no—
849C2×C4×C43—42no—
850C2×C4×C43—42no—
851C2×C4×C43—42no—
852C2×C4×C43—42no—
853C2×C4×C43—42no—
854C2×C4×C43—42no—
855C2×C4×C43—81no—
856C2×C4×C43—81no—
857C2×C4×C43—81no—
858C2×C4×C43—81no—
859C2×C4×C43—81no—
860C2×C4×C43—81no—
861C2×C4×C43—81no—
862C2×C4×C43—81no—
863C2×C4×C43—81no—
864C2×C4×C43—81no—
865C2×C4×C43—81no—
866C2×C4×C43C22×D411yescharacteristic
867C2×C4×C43C22×D411yescharacteristic
868C2×C4×C43C22×D411yescharacteristic
869C2×C4×C43C22×D411yescharacteristic
870C2×C4×C43C22×D411yescharacteristic
871C2×C4×C43C22×D411yescharacteristic
872C2×C4×C43C22×D411yescharacteristic
873C2×C4×C43C22×D411yescharacteristic
874C2×C4×C43C22×D411yescharacteristic
875C2×C4×C43C2511yescharacteristic
876C8×C43—21no—
877C8×C43—21no—
878C8×C43—21no—
879C8×C43—21no—
880C8×C43—21no—
881C8×C43—21no—
882C8×C43—21no—
883C8×C43—21no—
884#61628C4311yesmaximal, characteristic, direct product factor, Sylow
885C22×C43—21no—
886C22×C43—21no—
887C22×C43—21no—
888C22×C43—21no—
889C22×C43—21no—
890C22×C43—21no—
891C22×C43—21no—
892C22×C43—21no—
893C22×C43—21no—
894C22×C43—21no—
895C22×C43—22no—
896C22×C43—21no—
897C22×C43—21no—
898C22×C43—21no—
899C22×C43—21no—
900C22×C43—21no—
901C22×C43—41no—
902C22×C43—41no—
903C22×C43—41no—
904C22×C43—41no—
905C22×C43—41no—
906C22×C43—41no—
907C22×C43—41no—
908C22×C43—41no—
909C22×C43—41no—
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—82no—
919C22×C43—84no—
920C22×C43—162no—
921C22×C43—162no—
922C22×C43—162no—
923C22×C43C23×D411yescharacteristic
924C4×C43—21no—
925C4×C43—21no—
926C4×C43—21no—
927C4×C43—21no—
928C4×C43—21no—
929C4×C43—22no—
930C4×C43—21no—
931C4×C43—21no—
932C4×C43—21no—
933C4×C43—21no—
934C4×C43—41no—
935C4×C43—41no—
936C4×C43—41no—
937C4×C43—41no—
938C4×C43—41no—
939C4×C43—41no—
940C4×C43—41no—
941C4×C43—41no—
942C4×C43—41no—
943C4×C43C2×H(5,𝔽2)11yescharacteristic
944C4×C43C2×H(5,𝔽2)11yescharacteristic
945#3539C2×C4311yescharacteristic, complemented
946#3488C2×C4311yescharacteristic, complemented
947#3327C2×C4311yescharacteristic, complemented
948#3326C2×C4311yescharacteristic, complemented
949#3318C2×C4311yescharacteristic, complemented
950#3317C2×C4311yescharacteristic, complemented
951#3310C2×C4311yescharacteristic, complemented
952#3309C2×C4311yescharacteristic, complemented
953#3297C2×C4311yescharacteristic, complemented
954#3296C2×C4311yescharacteristic, complemented
955#3287C2×C4311yescharacteristic, complemented
956#3284C2×C4311yescharacteristic, complemented
957#3274C2×C4311yescharacteristic, complemented
958#3272C2×C4311yescharacteristic, complemented
959#3271C2×C4311yescharacteristic, complemented
960#3269C2×C4311yescharacteristic, complemented
961#3268C2×C4311yescharacteristic, complemented
962#3267C2×C4311yescharacteristic, complemented
963#3222C2×C4311yescharacteristic, complemented
964#3220C2×C4311yescharacteristic, complemented
965#3204C2×C4311yescharacteristic, complemented
966#3203C2×C4311yescharacteristic, complemented
967#3194C2×C4311yescharacteristic, complemented
968#3188C2×C4311yescharacteristic, complemented
969#3120C2×C4311yescharacteristic, complemented
970#3119C2×C4311yescharacteristic, complemented
971#3012C2×C4311yescharacteristic, complemented
972#3012C2×C4311yescharacteristic, complemented
973#3005C2×C4311yescharacteristic, complemented
974#3002C2×C4311yescharacteristic, complemented
975#2976C2×C4311yescharacteristic, complemented
976C2×C43—41no—
977C2×C43—41no—
978C2×C43—41no—
979C2×C43—41no—
980C2×C43—41no—
981C2×C43—42no—
982C2×C43—81no—
983C2×C43—81no—
984C2×C43—81no—
985C2×C43—81no—
986C2×C43—81no—
987C2×C43#348411yescharacteristic
988C2×C43#358411yescharacteristic
989C2×C43#358511yescharacteristic
990C2×H(5,𝔽2)C22×C4311yescharacteristic
991C22×#41C22×C4311yescharacteristic
992C2×#137C22×C4311yescharacteristic, complemented
993C2×AGL(1,ℤ/8)C22×C4311yescharacteristic, complemented
994C2×AGL(1,ℤ/8)C22×C4311yescharacteristic, complemented
995C2×AGL(1,ℤ/8)C22×C4311yescharacteristic, complemented
996C2×#135C22×C4311yescharacteristic, complemented
997C2×#135C22×C4311yescharacteristic, complemented
998C2×#135C22×C4311yescharacteristic, complemented
999C2×#135C22×C4311yescharacteristic, complemented
1000#560—21no—
1001#560—21no—
1002#553—21no—
1003#553—21no—
1004#553C22×C4311yescharacteristic, complemented
1005#553C22×C4311yescharacteristic, complemented
1006#552C22×C4311yescharacteristic, complemented
1007#552C22×C4311yescharacteristic, complemented
1008#550C22×C4311yescharacteristic
1009#550C22×C4311yescharacteristic
1010#550C22×C4311yescharacteristic, complemented
1011#550C22×C4311yescharacteristic, complemented
1012#548C22×C4311yescharacteristic
1013#548C22×C4311yescharacteristic
1014#547C22×C4311yescharacteristic, complemented
1015#547C22×C4311yescharacteristic, complemented
1016#546—21no—
1017#546—21no—
1018#546C22×C4311yescharacteristic
1019#546C22×C4311yescharacteristic
1020D42—21no—
1021D42—21no—
1022D42C22×C4311yescharacteristic
1023D42C22×C4311yescharacteristic
1024#541C22×C4311yescharacteristic, complemented
1025#540—21no—
1026#540—21no—
1027#540C22×C4311yescharacteristic, complemented
1028#539—21no—
1029#539—21no—
1030#537—21no—
1031#537C22×C4311yescharacteristic
1032#537C22×C4311yescharacteristic, complemented
1033#537C22×C4311yescharacteristic, complemented
1034#535—21no—
1035#535C22×C4311yescharacteristic
1036#525—21no—
1037#525C22×C4311yescharacteristic
1038#525C22×C4311yescharacteristic, complemented
1039#525C22×C4311yescharacteristic, complemented
1040C2×#121—21no—
1041C2×#121C22×C4311yescharacteristic
1042#520C22×C4311yescharacteristic
1043#497C22×C4311yescharacteristic, complemented
1044#496C22×C4311yescharacteristic, complemented
1045#493C22×C4311yescharacteristic, complemented
1046#492C22×C4311yescharacteristic, complemented
1047#490C22×C4311yescharacteristic, complemented
1048#490C22×C4311yescharacteristic, complemented
1049#488C22×C4311yescharacteristic, complemented
1050#488C22×C4311yescharacteristic, complemented
1051#484C22×C4311yescharacteristic, complemented
1052#484C22×C4311yescharacteristic, complemented
1053#483C22×C4311yescharacteristic, complemented
1054#483C22×C4311yescharacteristic, complemented
1055#482C22×C4311yescharacteristic, complemented
1056#482C22×C4311yescharacteristic, complemented
1057#482C22×C4311yescharacteristic, complemented
1058#482C22×C4311yescharacteristic, complemented
1059#481C22×C4311yescharacteristic, complemented
1060#481C22×C4311yescharacteristic, complemented
1061#480C22×C4311yescharacteristic, complemented
1062#480C22×C4311yescharacteristic, complemented
1063#479C22×C4311yescharacteristic, complemented
1064#479C22×C4311yescharacteristic, complemented
1065#478C22×C4311yescharacteristic, complemented
1066#478C22×C4311yescharacteristic, complemented
1067#470C22×C4311yescharacteristic, complemented
1068#469C22×C4311yescharacteristic, complemented
1069#469C22×C4311yescharacteristic, complemented
1070#469C22×C4311yescharacteristic, complemented
1071#468C22×C4311yescharacteristic, complemented
1072#468C22×C4311yescharacteristic, complemented
1073#468C22×C4311yescharacteristic, complemented
1074#468C22×C4311yescharacteristic, complemented
1075#467C22×C4311yescharacteristic, complemented
1076#466C22×C4311yescharacteristic, complemented
1077#466C22×C4311yescharacteristic, complemented
1078#466C22×C4311yescharacteristic, complemented
1079#465C22×C4311yescharacteristic, complemented
1080#465C22×C4311yescharacteristic, complemented
1081#465C22×C4311yescharacteristic, complemented
1082#465C22×C4311yescharacteristic, complemented
1083#464C22×C4311yescharacteristic, complemented
1084#464C22×C4311yescharacteristic, complemented
1085#463C22×C4311yescharacteristic, complemented
1086#463C22×C4311yescharacteristic, complemented
1087#462C22×C4311yescharacteristic, complemented
1088#461C22×C4311yescharacteristic, complemented
1089#460C22×C4311yescharacteristic, complemented
1090#460C22×C4311yescharacteristic, complemented
1091#460C22×C4311yescharacteristic, complemented
1092#459C22×C4311yescharacteristic, complemented
1093#459C22×C4311yescharacteristic, complemented
1094#459C22×C4311yescharacteristic, complemented
1095#452C22×C4311yescharacteristic
1096#452C22×C4311yescharacteristic
1097#452C22×C4311yescharacteristic, complemented
1098#452C22×C4311yescharacteristic, complemented
1099#452C22×C4311yescharacteristic, complemented
1100#452C22×C4311yescharacteristic, complemented
1101#452C22×C4311yescharacteristic, complemented
1102#452C22×C4311yescharacteristic, complemented
1103#452C22×C4311yescharacteristic, complemented
1104#452C22×C4311yescharacteristic, complemented
1105#451C22×C4311yescharacteristic, complemented
1106#450C22×C4311yescharacteristic, complemented
1107#450C22×C4311yescharacteristic, complemented
1108#450C22×C4311yescharacteristic, complemented
1109#450C22×C4311yescharacteristic, complemented
1110#450C22×C4311yescharacteristic, complemented
1111#449C22×C4311yescharacteristic
1112#449C22×C4311yescharacteristic
1113#449C22×C4311yescharacteristic, complemented
1114#449C22×C4311yescharacteristic, complemented
1115#449C22×C4311yescharacteristic, complemented
1116#449C22×C4311yescharacteristic, complemented
1117#449C22×C4311yescharacteristic, complemented
1118#449C22×C4311yescharacteristic, complemented
1119#449C22×C4311yescharacteristic, complemented
1120#449C22×C4311yescharacteristic, complemented
1121#449C22×C4311yescharacteristic, complemented
1122#449C22×C4311yescharacteristic, complemented
1123#449C22×C4311yescharacteristic, complemented
1124#449C22×C4311yescharacteristic, complemented
1125#448C22×C4311yescharacteristic, complemented
1126#447C22×C4311yescharacteristic, complemented
1127#447C22×C4311yescharacteristic, complemented
1128#447C22×C4311yescharacteristic, complemented
1129#447C22×C4311yescharacteristic, complemented
1130#447C22×C4311yescharacteristic, complemented
1131#442C22×C4311yescharacteristic, complemented
1132#441C22×C4311yescharacteristic, complemented
1133#440C22×C4311yescharacteristic, complemented
1134#440C22×C4311yescharacteristic, complemented
1135C4×Q16C22×C4311yescharacteristic, complemented
1136C4×SD16C22×C4311yescharacteristic, complemented
1137C4×SD16C22×C4311yescharacteristic, complemented
1138C4×D8C22×C4311yescharacteristic, complemented
1139#436C22×C4311yescharacteristic, complemented
1140#436C22×C4311yescharacteristic, complemented
1141#435C22×C4311yescharacteristic, complemented
1142#435C22×C4311yescharacteristic, complemented
1143#435C22×C4311yescharacteristic, complemented
1144#435C22×C4311yescharacteristic, complemented
1145C8×D4C22×C4311yescharacteristic, complemented
1146C8×D4C22×C4311yescharacteristic, complemented
1147#433C22×C4311yescharacteristic, complemented
1148#433C22×C4311yescharacteristic, complemented
1149#419C22×C4311yescharacteristic, complemented
1150#418C22×C4311yescharacteristic, complemented
1151#417C22×C4311yescharacteristic, complemented
1152#417C22×C4311yescharacteristic, complemented
1153#416C22×C4311yescharacteristic, complemented
1154#416C22×C4311yescharacteristic, complemented
1155C2×#102C22×C4311yescharacteristic, complemented
1156C2×#102C22×C4311yescharacteristic, complemented
1157#408C22×C4311yescharacteristic, complemented
1158#408C22×C4311yescharacteristic, complemented
1159#407C22×C4311yescharacteristic, complemented
1160C2×C22⋊C8C22×C4311yescharacteristic, complemented
1161C43#6162811yescharacteristic, direct product factor, Sylow
1162H(5,𝔽2)—42no—
1163H(5,𝔽2)—42no—
1164C2×#41—21no—
1165C2×#41—21no—
1166C2×#41—21no—
1167C2×#41—42no—
1168C2×#41—42no—
1169C2×#41C23×C4311yescharacteristic
1170C2×#41C23×C4311yescharacteristic
1171C2×#41C23×C4311yescharacteristic
1172C2×#41C23×C4311yescharacteristic
1173C2×#41C23×C4311yescharacteristic
1174C2×#41C23×C4311yescharacteristic
1175C2×#41C23×C4311yescharacteristic
1176C2×#41C23×C4311yescharacteristic
1177C2×#41C23×C4311yescharacteristic
1178C2×#41C23×C4311yescharacteristic
1179C2×#41C23×C4311yescharacteristic
1180C22×Q8C23×C4311yescharacteristic
1181C22×D4—21no—
1182C22×D4—21no—
1183C22×D4—21no—
1184C22×D4—21no—
1185C22×D4—21no—
1186C22×D4—21no—
1187C22×D4—21no—
1188C22×D4C23×C4311yescharacteristic
1189C22×D4C23×C4311yescharacteristic
1190C22×D4C23×C4311yescharacteristic
1191C22×D4C23×C4311yescharacteristic
1192C23×C4—21no—
1193C23×C4C23×C4311yescharacteristic
1194#137—42no—
1195AGL(1,ℤ/8)—42no—
1196AGL(1,ℤ/8)—42no—
1197AGL(1,ℤ/8)—42no—
1198#135—42no—
1199#135—42no—
1200#135—42no—
1201#135—42no—
1202C2×Q16C23×C4311yescharacteristic
1203C2×Q16C23×C4311yescharacteristic
1204C2×Q16C23×C4311yescharacteristic
1205C2×Q16C23×C4311yescharacteristic
1206C2×SD16C23×C4311yescharacteristic
1207C2×SD16C23×C4311yescharacteristic
1208C2×SD16C23×C4311yescharacteristic
1209C2×SD16C23×C4311yescharacteristic
1210C2×SD16C23×C4311yescharacteristic
1211C2×SD16C23×C4311yescharacteristic
1212C2×SD16C23×C4311yescharacteristic
1213C2×SD16C23×C4311yescharacteristic
1214C2×SD16C23×C4311yescharacteristic
1215C2×SD16C23×C4311yescharacteristic
1216C2×SD16C23×C4311yescharacteristic
1217C2×SD16C23×C4311yescharacteristic
1218C2×D8C23×C4311yescharacteristic
1219C2×D8C23×C4311yescharacteristic
1220C2×D8C23×C4311yescharacteristic
1221C2×D8C23×C4311yescharacteristic
1222C2×D8C23×C4311yescharacteristic
1223C2×D8C23×C4311yescharacteristic
1224C2×D8C23×C4311yescharacteristic
1225C2×D8C23×C4311yescharacteristic
1226C2×M16C23×C4311yescharacteristic
1227C2×M16C23×C4311yescharacteristic
1228C2×M16C23×C4311yescharacteristic
1229C2×M16C23×C4311yescharacteristic
1230C22×C8C23×C4311yescharacteristic
1231C22×C8C23×C4311yescharacteristic
1232C22×C8C23×C4311yescharacteristic
1233C22×C8C23×C4311yescharacteristic
1234C4⋊Q8C23×C4311yescharacteristic
1235#127—21no—
1236#127—21no—
1237#127—21no—
1238#127—21no—
1239#127C23×C4311yescharacteristic
1240#127C23×C4311yescharacteristic
1241#127C23×C4311yescharacteristic
1242#126—21no—
1243#126—21no—
1244#126—21no—
1245#126—21no—
1246#126—21no—
1247#126—21no—
1248#125—21no—
1249#125—21no—
1250#125—21no—
1251#125—21no—
1252#125C23×C4311yescharacteristic
1253#125C23×C4311yescharacteristic
1254#124—21no—
1255#124—21no—
1256#124C23×C4311yescharacteristic
1257#124C23×C4311yescharacteristic
1258#123—21no—
1259#123—21no—
1260#123—21no—
1261#123—21no—
1262#123—21no—
1263#123—21no—
1264#123—21no—
1265#123—21no—
1266#123—21no—
1267#123—21no—
1268#123—21no—
1269#123—21no—
1270#123—21no—
1271#123—21no—
1272#123D4×C4311yescharacteristic
1273#123D4×C4311yescharacteristic
1274C22⋊Q8—21no—
1275C22⋊Q8—21no—
1276C22⋊Q8—21no—
1277C22⋊Q8—21no—
1278C22⋊Q8—21no—
1279C22⋊Q8D4×C4311yescharacteristic
1280C22⋊Q8D4×C4311yescharacteristic
1281C22⋊Q8C23×C4311yescharacteristic
1282C22⋊Q8C23×C4311yescharacteristic
1283C22⋊Q8C23×C4311yescharacteristic
1284C22⋊Q8C23×C4311yescharacteristic
1285C22⋊Q8C23×C4311yescharacteristic
1286C22⋊Q8C23×C4311yescharacteristic
1287C22⋊Q8C23×C4311yescharacteristic
1288C22⋊Q8C23×C4311yescharacteristic
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
1309#121—21no—
1310#121—21no—
1311#121—21no—
1312#121—21no—
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#121D4×C4311yescharacteristic
1323#121D4×C4311yescharacteristic
1324#121C23×C4311yescharacteristic
1325#121C23×C4311yescharacteristic
1326#121C23×C4311yescharacteristic
1327#121C23×C4311yescharacteristic
1328#121C23×C4311yescharacteristic
1329#121C23×C4311yescharacteristic
1330#121C23×C4311yescharacteristic
1331#121C23×C4311yescharacteristic
1332#121C23×C4311yescharacteristic
1333#121C23×C4311yescharacteristic
1334#121C23×C4311yescharacteristic
1335#121C23×C4311yescharacteristic
1336#120—21no—
1337#120—21no—
1338#120—21no—
1339#120—21no—
1340#120—21no—
1341#120—21no—
1342#120—21no—
1343#120—21no—
1344#120—21no—
1345#120—21no—
1346#120D4×C4311yescharacteristic
1347#120D4×C4311yescharacteristic
1348C4×Q8C23×C4311yescharacteristic
1349C4×Q8C23×C4311yescharacteristic
1350C4×Q8C23×C4311yescharacteristic
1351C4×Q8C23×C4311yescharacteristic
1352C4×D4—21no—
1353C4×D4—21no—
1354C4×D4—21no—
1355C4×D4—21no—
1356C4×D4—21no—
1357C4×D4—21no—
1358C4×D4—21no—
1359C4×D4—21no—
1360C4×D4—21no—
1361C4×D4—21no—
1362C4×D4—21no—
1363C4×D4—21no—
1364C4×D4—21no—
1365C4×D4—21no—
1366C4×D4C23×C4311yescharacteristic
1367C4×D4C23×C4311yescharacteristic
1368C4×D4C23×C4311yescharacteristic
1369C4×D4C23×C4311yescharacteristic
1370C4×D4C23×C4311yescharacteristic
1371C4×D4C23×C4311yescharacteristic
1372C4×D4C23×C4311yescharacteristic
1373C4×D4C23×C4311yescharacteristic
1374#117—21no—
1375#117—21no—
1376#117—21no—
1377#117C23×C4311yescharacteristic
1378#117C23×C4311yescharacteristic
1379#117C23×C4311yescharacteristic
1380C2×C4⋊C4—21no—
1381C2×C4⋊C4—21no—
1382C2×C4⋊C4—21no—
1383C2×C4⋊C4C23×C4311yescharacteristic
1384C2×C4⋊C4C23×C4311yescharacteristic
1385C2×C4⋊C4C23×C4311yescharacteristic
1386C2×C22⋊C4—21no—
1387C2×C22⋊C4—21no—
1388C2×C22⋊C4—21no—
1389#107C23×C4311yescharacteristic
1390#107C23×C4311yescharacteristic
1391#107C23×C4311yescharacteristic
1392#107C23×C4311yescharacteristic
1393#106C23×C4311yescharacteristic
1394#106C23×C4311yescharacteristic
1395#106C23×C4311yescharacteristic
1396#106C23×C4311yescharacteristic
1397C4⋊C8C23×C4311yescharacteristic
1398C4⋊C8C23×C4311yescharacteristic
1399C4⋊C8C23×C4311yescharacteristic
1400C4⋊C8C23×C4311yescharacteristic
1401#103C23×C4311yescharacteristic
1402#103C23×C4311yescharacteristic
1403#103C23×C4311yescharacteristic
1404#103C23×C4311yescharacteristic
1405#103C23×C4311yescharacteristic
1406#103C23×C4311yescharacteristic
1407#103C23×C4311yescharacteristic
1408#103C23×C4311yescharacteristic
1409#103C23×C4311yescharacteristic
1410#103C23×C4311yescharacteristic
1411#103C23×C4311yescharacteristic
1412#103C23×C4311yescharacteristic
1413#102C23×C4311yescharacteristic
1414#102C23×C4311yescharacteristic
1415#102C23×C4311yescharacteristic
1416#102C23×C4311yescharacteristic
1417#102C23×C4311yescharacteristic
1418#102C23×C4311yescharacteristic
1419#102C23×C4311yescharacteristic
1420#102C23×C4311yescharacteristic
1421#102C23×C4311yescharacteristic
1422#102C23×C4311yescharacteristic
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
1433C22⋊C8C23×C4311yescharacteristic
1434C22⋊C8C23×C4311yescharacteristic
1435C22⋊C8C23×C4311yescharacteristic
1436C22⋊C8C23×C4311yescharacteristic
1437C22⋊C8C23×C4311yescharacteristic
1438C22⋊C8C23×C4311yescharacteristic
1439C22⋊C8C23×C4311yescharacteristic
1440C22⋊C8C23×C4311yescharacteristic
1441C22⋊C8C23×C4311yescharacteristic
1442C22⋊C8C23×C4311yescharacteristic
1443C22⋊C8C23×C4311yescharacteristic
1444C22⋊C8C23×C4311yescharacteristic
1445#97C23×C4311yescharacteristic
1446#97C23×C4311yescharacteristic
1447C4×C8C23×C4311yescharacteristic
1448C4×C8C23×C4311yescharacteristic
1449C24—21no—
1450C24—21no—
1451C24—21no—
1452C24—21no—
1453C24C2×D4×C4311yescharacteristic
1454#41—22no—
1455#41—22no—
1456#41—22no—
1457#41—22no—
1458#41—22no—
1459#41—22no—
1460#41—41no—
1461#41—41no—
1462#41—41no—
1463#41—41no—
1464#41—41no—
1465#41—41no—
1466#41—41no—
1467#41—41no—
1468#41—44no—
1469#41—44no—
1470#41—41no—
1471#41—41no—
1472#41—41no—
1473#41—41no—
1474#41—41no—
1475#41—41no—
1476#41—41no—
1477#41—41no—
1478#41—44no—
1479C2×Q8—21no—
1480C2×Q8—22no—
1481C2×Q8—41no—
1482C2×Q8C2×D4×C4311yescharacteristic
1483C2×Q8C24×C4311yescharacteristic
1484C2×Q8C24×C4311yescharacteristic
1485C2×Q8C24×C4311yescharacteristic
1486C2×Q8C24×C4311yescharacteristic
1487C2×D4—21no—
1488C2×D4—22no—
1489C2×D4—22no—
1490C2×D4—22no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
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—41no—
1523C2×D4—41no—
1524C2×D4—41no—
1525C2×D4—41no—
1526C2×D4—41no—
1527C2×D4—44no—
1528C2×D4—44no—
1529C2×D4—44no—
1530C2×D4—44no—
1531C2×D4—82no—
1532C2×D4—82no—
1533C2×D4—82no—
1534C2×D4C2×D4×C4311yescharacteristic
1535C2×D4C2×D4×C4311yescharacteristic
1536C2×D4C2×D4×C4311yescharacteristic
1537C2×D4C2×D4×C4311yescharacteristic
1538C2×D4C2×D4×C4311yescharacteristic
1539C2×D4C2×D4×C4311yescharacteristic
1540C2×D4C2×D4×C4311yescharacteristic
1541C2×D4C24×C4311yescharacteristic
1542C2×D4C24×C4311yescharacteristic
1543C2×D4C24×C4311yescharacteristic
1544C2×D4C24×C4311yescharacteristic
1545C2×D4C24×C4311yescharacteristic
1546C2×D4C24×C4311yescharacteristic
1547C22×C4—21no—
1548C22×C4—21no—
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—21no—
1557C22×C4—21no—
1558C22×C4—21no—
1559C22×C4—21no—
1560C22×C4—21no—
1561C22×C4—21no—
1562C22×C4—21no—
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—41no—
1566C22×C4—41no—
1567C22×C4—44no—
1568C22×C4C2×D4×C4311yescharacteristic
1569C22×C4C2×D4×C4311yescharacteristic
1570C22×C4C2×D4×C4311yescharacteristic
1571C22×C4C24×C4311yescharacteristic
1572C22×C4C24×C4311yescharacteristic
1573C22×C4C24×C4311yescharacteristic
1574C22×C4C24×C4311yescharacteristic
1575C22×C4C24×C4311yescharacteristic
1576Q16—22no—
1577Q16—22no—
1578Q16—41no—
1579Q16—41no—
1580SD16—22no—
1581SD16—22no—
1582SD16—22no—
1583SD16—22no—
1584SD16—41no—
1585SD16—41no—
1586SD16—41no—
1587SD16—41no—
1588SD16—41no—
1589SD16—41no—
1590SD16—41no—
1591SD16—41no—
1592D8—22no—
1593D8—22no—
1594D8—41no—
1595D8—41no—
1596D8—41no—
1597D8—41no—
1598D8—41no—
1599D8—41no—
1600M16—41no—
1601M16—41no—
1602M16—41no—
1603M16—41no—
1604C2×C8—41no—
1605C2×C8—41no—
1606C2×C8—41no—
1607C2×C8—41no—
1608C2×C8C24×C4311yescharacteristic
1609C2×C8C24×C4311yescharacteristic
1610C2×C8C24×C4311yescharacteristic
1611C2×C8C24×C4311yescharacteristic
1612C2×C8C24×C4311yescharacteristic
1613C2×C8C24×C4311yescharacteristic
1614C2×C8C24×C4311yescharacteristic
1615C2×C8C24×C4311yescharacteristic
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—21no—
1623C4⋊C4—21no—
1624C4⋊C4—21no—
1625C4⋊C4—21no—
1626C4⋊C4—21no—
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⋊C4C2×D4×C4311yescharacteristic
1638C4⋊C4C2×D4×C4311yescharacteristic
1639C4⋊C4C2×D4×C4311yescharacteristic
1640C4⋊C4C2×D4×C4311yescharacteristic
1641C4⋊C4C2×D4×C4311yescharacteristic
1642C4⋊C4C2×D4×C4311yescharacteristic
1643C4⋊C4C24×C4311yescharacteristic
1644C4⋊C4C24×C4311yescharacteristic
1645C4⋊C4C24×C4311yescharacteristic
1646C4⋊C4C24×C4311yescharacteristic
1647C4⋊C4C24×C4311yescharacteristic
1648C4⋊C4C24×C4311yescharacteristic
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
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⋊C4C2×D4×C4311yescharacteristic
1680C22⋊C4C2×D4×C4311yescharacteristic
1681C22⋊C4C2×D4×C4311yescharacteristic
1682C22⋊C4C2×D4×C4311yescharacteristic
1683C22⋊C4C2×D4×C4311yescharacteristic
1684C22⋊C4C2×D4×C4311yescharacteristic
1685C22⋊C4C2×D4×C4311yescharacteristic
1686C22⋊C4C2×D4×C4311yescharacteristic
1687C22⋊C4C2×D4×C4311yescharacteristic
1688C22⋊C4C2×D4×C4311yescharacteristic
1689C42—21no—
1690C42—21no—
1691C42—21no—
1692C42—21no—
1693C42—21no—
1694C42—21no—
1695C42C24×C4311yescharacteristic
1696C42C24×C4311yescharacteristic
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—21no—
1703C23—41no—
1704C23—41no—
1705C23—41no—
1706C23—42no—
1707C23—42no—
1708C23—42no—
1709C23—42no—
1710C23—42no—
1711C23—81no—
1712C23—81no—
1713C23—81no—
1714C23—81no—
1715C23—81no—
1716C23—81no—
1717C23—81no—
1718C23C22×D4×C4311yescharacteristic
1719C23C22×D4×C4311yescharacteristic
1720C23C22×D4×C4311yescharacteristic
1721C23C22×D4×C4311yescharacteristic
1722C23C22×D4×C4311yescharacteristic
1723Q8—21no—
1724Q8—21no—
1725Q8—21no—
1726Q8—21no—
1727Q8—21no—
1728Q8—21no—
1729Q8—21no—
1730Q8—41no—
1731Q8—42no—
1732Q8H(5,𝔽2)×C4312yes—
1733D4—24no—
1734D4—21no—
1735D4—21no—
1736D4—21no—
1737D4—21no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—41no—
1746D4—41no—
1747D4—41no—
1748D4—41no—
1749D4—41no—
1750D4—41no—
1751D4—41no—
1752D4—42no—
1753D4—42no—
1754D4—42no—
1755D4—42no—
1756D4—42no—
1757D4—42no—
1758D4—42no—
1759D4—42no—
1760D4—42no—
1761D4—42no—
1762D4—42no—
1763D4—81no—
1764D4—81no—
1765D4—81no—
1766D4—81no—
1767D4—81no—
1768D4—81no—
1769D4—81no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—81no—
1779D4—81no—
1780D4—81no—
1781D4—81no—
1782D4—81no—
1783D4H(5,𝔽2)×C4312yes—
1784C2×C4—24no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—41no—
1806C2×C4—41no—
1807C2×C4—41no—
1808C2×C4—42no—
1809C2×C4—42no—
1810C2×C4—42no—
1811C2×C4—42no—
1812C2×C4—42no—
1813C2×C4—42no—
1814C2×C4—81no—
1815C2×C4—81no—
1816C2×C4—81no—
1817C2×C4—81no—
1818C2×C4—81no—
1819C2×C4—81no—
1820C2×C4—81no—
1821C2×C4—81no—
1822C2×C4—81no—
1823C2×C4—81no—
1824C2×C4—81no—
1825C2×C4C22×D4×C4311yescharacteristic
1826C2×C4C22×D4×C4311yescharacteristic
1827C2×C4C22×D4×C4311yescharacteristic
1828C2×C4C22×D4×C4311yescharacteristic
1829C2×C4C22×D4×C4311yescharacteristic
1830C2×C4C22×D4×C4311yescharacteristic
1831C2×C4C22×D4×C4311yescharacteristic
1832C2×C4C22×D4×C4311yescharacteristic
1833C2×C4C22×D4×C4311yescharacteristic
1834C2×C4C25×C4311yescharacteristic
1835C8—21no—
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—21no—
1841C8—21no—
1842C8—21no—
1843C22—21no—
1844C22—21no—
1845C22—22no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—21no—
1855C22—21no—
1856C22—21no—
1857C22—21no—
1858C22—21no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—82no—
1877C22—84no—
1878C22—162no—
1879C22—162no—
1880C22—162no—
1881C22C23×D4×C4311yescharacteristic
1882C4—21no—
1883C4—22no—
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—21no—
1888C4—21no—
1889C4—21no—
1890C4—21no—
1891C4—21no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—41no—
1898C4—41no—
1899C4—41no—
1900C4—41no—
1901C4C2×H(5,𝔽2)×C4311yescharacteristic
1902C4C2×H(5,𝔽2)×C4311yescharacteristic
1903C2—41no—
1904C2—41no—
1905C2—41no—
1906C2—41no—
1907C2—41no—
1908C2—42no—
1909C2—81no—
1910C2—81no—
1911C2—81no—
1912C2—81no—
1913C2—81no—
1914C2C43×#348411yescharacteristic
1915C2C43×#358411yescharacteristic
1916C2C43×#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×#3539C2semidirect
2. C43×#3488C2semidirect
3. C43×#3327C2semidirect
4. C43×#3326C2semidirect
5. C43×#3318C2semidirect
6. C43×#3317C2semidirect
7. C43×#3310C2semidirect
8. C43×#3309C2semidirect
9. C43×#3297C2semidirect
10. C43×#3296C2semidirect
11. C43×#3287C2semidirect
12. C43×#3284C2semidirect
13. C43×#3274C2semidirect
14. C43×#3272C2semidirect
15. C43×#3271C2semidirect
16. C43×#3269C2semidirect
17. C43×#3268C2semidirect
18. C43×#3267C2semidirect
19. C43×#3222C2semidirect
20. C43×#3220C2semidirect
21. C43×#3204C2semidirect
22. C43×#3203C2semidirect
23. C43×#3194C2semidirect
24. C43×#3188C2semidirect
25. C43×#3120C2semidirect
26. C43×#3119C2semidirect
27. C43×#3012C2semidirect
28. C43×#3012C2semidirect
29. C43×#3005C2semidirect
30. C43×#3002C2semidirect
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. C2×#135×C43C22semidirect
40. C2×#135×C43C22semidirect
41. C2×#135×C43C22semidirect
46. C43×#553C22semidirect
47. C43×#553C22semidirect
48. C43×#552C22semidirect
49. C43×#552C22semidirect
52. C43×#550C22semidirect
53. C43×#550C22semidirect
56. C43×#547C22semidirect
57. C43×#547C22semidirect
66. C43×#541C22semidirect
69. C43×#540C22semidirect
74. C43×#537C22semidirect
75. C43×#537C22semidirect
80. C43×#525C22semidirect
81. C43×#525C22semidirect
85. C43×#497C22semidirect
86. C43×#496C22semidirect
87. C43×#493C22semidirect
88. C43×#492C22semidirect
89. C43×#490C22semidirect
90. C43×#490C22semidirect
91. C43×#488C22semidirect
92. C43×#488C22semidirect
93. C43×#484C22semidirect
94. C43×#484C22semidirect
95. C43×#483C22semidirect
96. C43×#483C22semidirect
97. C43×#482C22semidirect
98. C43×#482C22semidirect
99. C43×#482C22semidirect
100. C43×#482C22semidirect
101. C43×#481C22semidirect
102. C43×#481C22semidirect
103. C43×#480C22semidirect
104. C43×#480C22semidirect
105. C43×#479C22semidirect
106. C43×#479C22semidirect
107. C43×#478C22semidirect
108. C43×#478C22semidirect
109. C43×#470C22semidirect
110. C43×#469C22semidirect
111. C43×#469C22semidirect
112. C43×#469C22semidirect
113. C43×#468C22semidirect
114. C43×#468C22semidirect
115. C43×#468C22semidirect
116. C43×#468C22semidirect
117. C43×#467C22semidirect
118. C43×#466C22semidirect
119. C43×#466C22semidirect
120. C43×#466C22semidirect
121. C43×#465C22semidirect
122. C43×#465C22semidirect
123. C43×#465C22semidirect
124. C43×#465C22semidirect
125. C43×#464C22semidirect
126. C43×#464C22semidirect
127. C43×#463C22semidirect
128. C43×#463C22semidirect
129. C43×#462C22semidirect
130. C43×#461C22semidirect
131. C43×#460C22semidirect
132. C43×#460C22semidirect
133. C43×#460C22semidirect
134. C43×#459C22semidirect
135. C43×#459C22semidirect
136. C43×#459C22semidirect
139. C43×#452C22semidirect
140. C43×#452C22semidirect
141. C43×#452C22semidirect
142. C43×#452C22semidirect
143. C43×#452C22semidirect
144. C43×#452C22semidirect
145. C43×#452C22semidirect
146. C43×#452C22semidirect
147. C43×#451C22semidirect
148. C43×#450C22semidirect
149. C43×#450C22semidirect
150. C43×#450C22semidirect
151. C43×#450C22semidirect
152. C43×#450C22semidirect
155. C43×#449C22semidirect
156. C43×#449C22semidirect
157. C43×#449C22semidirect
158. C43×#449C22semidirect
159. C43×#449C22semidirect
160. C43×#449C22semidirect
161. C43×#449C22semidirect
162. C43×#449C22semidirect
163. C43×#449C22semidirect
164. C43×#449C22semidirect
165. C43×#449C22semidirect
166. C43×#449C22semidirect
167. C43×#448C22semidirect
168. C43×#447C22semidirect
169. C43×#447C22semidirect
170. C43×#447C22semidirect
171. C43×#447C22semidirect
172. C43×#447C22semidirect
173. C43×#442C22semidirect
174. C43×#441C22semidirect
175. C43×#440C22semidirect
176. C43×#440C22semidirect
177. C4×Q16×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×#419C22semidirect
192. C43×#418C22semidirect
193. C43×#417C22semidirect
194. C43×#417C22semidirect
195. C43×#416C22semidirect
196. C43×#416C22semidirect
197. C2×#102×C43C22semidirect
198. C2×#102×C43C22semidirect
199. C43×#408C22semidirect
200. C43×#408C22semidirect
201. C43×#407C22semidirect
202. C2×C22⋊C8×C43C22semidirect
884. #61628C43direct (N × H)
945. #3539C2×C43semidirect
946. #3488C2×C43semidirect
947. #3327C2×C43semidirect
948. #3326C2×C43semidirect
949. #3318C2×C43semidirect
950. #3317C2×C43semidirect
951. #3310C2×C43semidirect
952. #3309C2×C43semidirect
953. #3297C2×C43semidirect
954. #3296C2×C43semidirect
955. #3287C2×C43semidirect
956. #3284C2×C43semidirect
957. #3274C2×C43semidirect
958. #3272C2×C43semidirect
959. #3271C2×C43semidirect
960. #3269C2×C43semidirect
961. #3268C2×C43semidirect
962. #3267C2×C43semidirect
963. #3222C2×C43semidirect
964. #3220C2×C43semidirect
965. #3204C2×C43semidirect
966. #3203C2×C43semidirect
967. #3194C2×C43semidirect
968. #3188C2×C43semidirect
969. #3120C2×C43semidirect
970. #3119C2×C43semidirect
971. #3012C2×C43semidirect
972. #3012C2×C43semidirect
973. #3005C2×C43semidirect
974. #3002C2×C43semidirect
975. #2976C2×C43semidirect
992. C2×#137C22×C43semidirect
993. C2×AGL(1,ℤ/8)C22×C43semidirect
994. C2×AGL(1,ℤ/8)C22×C43semidirect
995. C2×AGL(1,ℤ/8)C22×C43semidirect
996. C2×#135C22×C43semidirect
997. C2×#135C22×C43semidirect
998. C2×#135C22×C43semidirect
999. C2×#135C22×C43semidirect
1004. #553C22×C43semidirect
1005. #553C22×C43semidirect
1006. #552C22×C43semidirect
1007. #552C22×C43semidirect
1010. #550C22×C43semidirect
1011. #550C22×C43semidirect
1014. #547C22×C43semidirect
1015. #547C22×C43semidirect
1024. #541C22×C43semidirect
1027. #540C22×C43semidirect
1032. #537C22×C43semidirect
1033. #537C22×C43semidirect
1038. #525C22×C43semidirect
1039. #525C22×C43semidirect
1043. #497C22×C43semidirect
1044. #496C22×C43semidirect
1045. #493C22×C43semidirect
1046. #492C22×C43semidirect
1047. #490C22×C43semidirect
1048. #490C22×C43semidirect
1049. #488C22×C43semidirect
1050. #488C22×C43semidirect
1051. #484C22×C43semidirect
1052. #484C22×C43semidirect
1053. #483C22×C43semidirect
1054. #483C22×C43semidirect
1055. #482C22×C43semidirect
1056. #482C22×C43semidirect
1057. #482C22×C43semidirect
1058. #482C22×C43semidirect
1059. #481C22×C43semidirect
1060. #481C22×C43semidirect
1061. #480C22×C43semidirect
1062. #480C22×C43semidirect
1063. #479C22×C43semidirect
1064. #479C22×C43semidirect
1065. #478C22×C43semidirect
1066. #478C22×C43semidirect
1067. #470C22×C43semidirect
1068. #469C22×C43semidirect
1069. #469C22×C43semidirect
1070. #469C22×C43semidirect
1071. #468C22×C43semidirect
1072. #468C22×C43semidirect
1073. #468C22×C43semidirect
1074. #468C22×C43semidirect
1075. #467C22×C43semidirect
1076. #466C22×C43semidirect
1077. #466C22×C43semidirect
1078. #466C22×C43semidirect
1079. #465C22×C43semidirect
1080. #465C22×C43semidirect
1081. #465C22×C43semidirect
1082. #465C22×C43semidirect
1083. #464C22×C43semidirect
1084. #464C22×C43semidirect
1085. #463C22×C43semidirect
1086. #463C22×C43semidirect
1087. #462C22×C43semidirect
1088. #461C22×C43semidirect
1089. #460C22×C43semidirect
1090. #460C22×C43semidirect
1091. #460C22×C43semidirect
1092. #459C22×C43semidirect
1093. #459C22×C43semidirect
1094. #459C22×C43semidirect
1097. #452C22×C43semidirect
1098. #452C22×C43semidirect
1099. #452C22×C43semidirect
1100. #452C22×C43semidirect
1101. #452C22×C43semidirect
1102. #452C22×C43semidirect
1103. #452C22×C43semidirect
1104. #452C22×C43semidirect
1105. #451C22×C43semidirect
1106. #450C22×C43semidirect
1107. #450C22×C43semidirect
1108. #450C22×C43semidirect
1109. #450C22×C43semidirect
1110. #450C22×C43semidirect
1113. #449C22×C43semidirect
1114. #449C22×C43semidirect
1115. #449C22×C43semidirect
1116. #449C22×C43semidirect
1117. #449C22×C43semidirect
1118. #449C22×C43semidirect
1119. #449C22×C43semidirect
1120. #449C22×C43semidirect
1121. #449C22×C43semidirect
1122. #449C22×C43semidirect
1123. #449C22×C43semidirect
1124. #449C22×C43semidirect
1125. #448C22×C43semidirect
1126. #447C22×C43semidirect
1127. #447C22×C43semidirect
1128. #447C22×C43semidirect
1129. #447C22×C43semidirect
1130. #447C22×C43semidirect
1131. #442C22×C43semidirect
1132. #441C22×C43semidirect
1133. #440C22×C43semidirect
1134. #440C22×C43semidirect
1135. C4×Q16C22×C43semidirect
1136. C4×SD16C22×C43semidirect
1137. C4×SD16C22×C43semidirect
1138. C4×D8C22×C43semidirect
1139. #436C22×C43semidirect
1140. #436C22×C43semidirect
1141. #435C22×C43semidirect
1142. #435C22×C43semidirect
1143. #435C22×C43semidirect
1144. #435C22×C43semidirect
1145. C8×D4C22×C43semidirect
1146. C8×D4C22×C43semidirect
1147. #433C22×C43semidirect
1148. #433C22×C43semidirect
1149. #419C22×C43semidirect
1150. #418C22×C43semidirect
1151. #417C22×C43semidirect
1152. #417C22×C43semidirect
1153. #416C22×C43semidirect
1154. #416C22×C43semidirect
1155. C2×#102C22×C43semidirect
1156. C2×#102C22×C43semidirect
1157. #408C22×C43semidirect
1158. #408C22×C43semidirect
1159. #407C22×C43semidirect
1160. C2×C22⋊C8C22×C43semidirect
1161. C43#61628direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#35392
C43×#34882
C43×#33272
C43×#33262
C43×#33182
C43×#33172
C43×#33102
C43×#33092
C43×#32972
C43×#32962
C43×#32872
C43×#32842
C43×#32742
C43×#32722
C43×#32712
C43×#32692
C43×#32682
C43×#32672
C43×#32222
C43×#32202
C43×#32042
C43×#32032
C43×#31942
C43×#31882
C43×#31202
C43×#31192
C43×#30122
C43×#30052
C43×#30022
C43×#29762
#6162843