Finite Group Databasebeta

← #33958487

Subgroups — #33958487

Order 18688.

1786 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623803C211yesmaximal, characteristic
2#22623746C211yesmaximal, characteristic, complemented
3#22621187C211yesmaximal, characteristic, complemented
4#22621186C211yesmaximal, characteristic, complemented
5#22621185C211yesmaximal, characteristic, complemented
6#22621184C211yesmaximal, characteristic, complemented
7#22621179C211yesmaximal, characteristic, complemented
8#22621178C211yesmaximal, characteristic, complemented
9#22621177C211yesmaximal, characteristic, complemented
10#22621066C211yesmaximal, characteristic, complemented
11#22621066C211yesmaximal, characteristic, complemented
12#22621065C211yesmaximal, characteristic, complemented
13#22621065C211yesmaximal, characteristic, complemented
14#22621058C211yesmaximal, characteristic, complemented
15#22621057C211yesmaximal, characteristic, complemented
16#22621051C211yesmaximal, characteristic, complemented
17#22621050C211yesmaximal, characteristic, complemented
18#22620476C211yesmaximal, characteristic, complemented
19#22620444C211yesmaximal, characteristic, complemented
20#22620304C211yesmaximal, characteristic, complemented
21#486×D73C211yesmaximal, characteristic, complemented
22#22619888C211yesmaximal, characteristic, complemented
23#22619886C211yesmaximal, characteristic, complemented
24#22619884C211yesmaximal, characteristic, complemented
25#22619882C211yesmaximal, characteristic, complemented
26#22619761C211yesmaximal, characteristic, complemented
27#22619759C211yesmaximal, characteristic, complemented
28#22619757C211yesmaximal, characteristic, complemented
29#22619755C211yesmaximal, characteristic, complemented
30#22618572C211yesmaximal, characteristic, complemented
31C73×#3241C211yesmaximal, characteristic, complemented
32#17989321—21no—
33#17989321—21no—
34#17989317—21no—
35#17989314—21no—
36#17989293—21no—
37#17989291—21no—
38#17989291—21no—
39#17989255—21no—
40#17989255—21no—
41#17989252—21no—
42#17989250—21no—
43#17989250—21no—
44#17989229—21no—
45#17989229—21no—
46#17989226—21no—
47#17989226—21no—
48#17989217C2211yescharacteristic
49#17989217C2211yescharacteristic, complemented
50#17989215C2211yescharacteristic, complemented
51#17989214C2211yescharacteristic
52#17989214C2211yescharacteristic, complemented
53#17989193C2211yescharacteristic
54#17989192C2211yescharacteristic
55#17989191C2211yescharacteristic
56#17989153C2211yescharacteristic
57#17989153C2211yescharacteristic
58#17989143C2211yescharacteristic
59#17989143C2211yescharacteristic
60#17989143C2211yescharacteristic, complemented
61#17989140C2211yescharacteristic, complemented
62#17989134C2211yescharacteristic
63#17989134C2211yescharacteristic
64#17989132C2211yescharacteristic
65#17989132C2211yescharacteristic
66C2×#14556590C2211yescharacteristic, complemented
67C4⋊Q8×D73C2211yescharacteristic
68C4⋊Q8×D73C2211yescharacteristic, complemented
69#127×D73C2211yescharacteristic
70#17989068C2211yescharacteristic
71#17989067C2211yescharacteristic
72#17989059C2211yescharacteristic
73#17989059C2211yescharacteristic
74#17989055C2211yescharacteristic
75#17988997C2211yescharacteristic, complemented
76#17988996C2211yescharacteristic, complemented
77#17988993C2211yescharacteristic, complemented
78#17988991C2211yescharacteristic, complemented
79#17988991C2211yescharacteristic, complemented
80#17988991C2211yescharacteristic, complemented
81#17988991C2211yescharacteristic, complemented
82#17988989C2211yescharacteristic, complemented
83#17988986C2211yescharacteristic, complemented
84#17988986C2211yescharacteristic, complemented
85#17988984C2211yescharacteristic, complemented
86#17988984C2211yescharacteristic, complemented
87#17988984C2211yescharacteristic, complemented
88#17988984C2211yescharacteristic, complemented
89#17988953C2211yescharacteristic
90#17988952C2211yescharacteristic
91#17988951C2211yescharacteristic
92#17988935C2211yescharacteristic
93#17988934C2211yescharacteristic
94#17988933C2211yescharacteristic
95#17988932C2211yescharacteristic
96#17988932C2211yescharacteristic
97#17988932C2211yescharacteristic
98#17988932C2211yescharacteristic
99#17988932C2211yescharacteristic
100#17988932C2211yescharacteristic
101#17988932C2211yescharacteristic
102#17988932C2211yescharacteristic
103#17988914C2211yescharacteristic, complemented
104#17988914C2211yescharacteristic, complemented
105#17988913C2211yescharacteristic, complemented
106#17988913C2211yescharacteristic, complemented
107#17988912C2211yescharacteristic, complemented
108#17988912C2211yescharacteristic, complemented
109#17988911C2211yescharacteristic, complemented
110#17988911C2211yescharacteristic, complemented
111#17988910C2211yescharacteristic, complemented
112#17988910C2211yescharacteristic, complemented
113#17988909C2211yescharacteristic, complemented
114#17988909C2211yescharacteristic, complemented
115#17988908C2211yescharacteristic, complemented
116#17988908C2211yescharacteristic, complemented
117#17988907C2211yescharacteristic, complemented
118#17988907C2211yescharacteristic, complemented
119#17988906C2211yescharacteristic, complemented
120#17988905C2211yescharacteristic, complemented
121#17988904C2211yescharacteristic, complemented
122#17988904C2211yescharacteristic, complemented
123#17988903C2211yescharacteristic, complemented
124#17988902C2211yescharacteristic, complemented
125#17988902C2211yescharacteristic, complemented
126#17988901C2211yescharacteristic, complemented
127#17988900C2211yescharacteristic, complemented
128#17988899C2211yescharacteristic, complemented
129#17988899C2211yescharacteristic, complemented
130#17988898C2211yescharacteristic, complemented
131#17988890C2211yescharacteristic, complemented
132#17988890C2211yescharacteristic, complemented
133#17988889C2211yescharacteristic, complemented
134#17988889C2211yescharacteristic, complemented
135#17988888C2211yescharacteristic, complemented
136#17988888C2211yescharacteristic, complemented
137#17988887C2211yescharacteristic, complemented
138#17988887C2211yescharacteristic, complemented
139#17988886C2211yescharacteristic, complemented
140#17988886C2211yescharacteristic, complemented
141#17988885C2211yescharacteristic, complemented
142#17988885C2211yescharacteristic, complemented
143#17988884C2211yescharacteristic, complemented
144#17988884C2211yescharacteristic, complemented
145#17988878C2211yescharacteristic, complemented
146#17988877C2211yescharacteristic, complemented
147#17988876C2211yescharacteristic, complemented
148#17988876C2211yescharacteristic, complemented
149#17988875C2211yescharacteristic, complemented
150#17988875C2211yescharacteristic, complemented
151#17988874C2211yescharacteristic, complemented
152#17988868C2211yescharacteristic, complemented
153#17988867C2211yescharacteristic, complemented
154#17988866C2211yescharacteristic, complemented
155#17988866C2211yescharacteristic, complemented
156#17988865C2211yescharacteristic, complemented
157#17988865C2211yescharacteristic, complemented
158#17988864C2211yescharacteristic, complemented
159#17988649C2211yescharacteristic, complemented
160#17988648C2211yescharacteristic, complemented
161#17988646C2211yescharacteristic, complemented
162#17988639C2211yescharacteristic, complemented
163#17988639C2211yescharacteristic, complemented
164#17988637C2211yescharacteristic, complemented
165#17988637C2211yescharacteristic, complemented
166#17988628C2211yescharacteristic
167#17988628C2211yescharacteristic
168#17988626C2211yescharacteristic
169#17988626C2211yescharacteristic
170#17988624C2211yescharacteristic
171#17988624C2211yescharacteristic
172#17988622C2211yescharacteristic
173#17988622C2211yescharacteristic
174#17988612C2211yescharacteristic
175#17988612C2211yescharacteristic
176#17988590C2211yescharacteristic
177#17988590C2211yescharacteristic
178#17988590C2211yescharacteristic
179#17988590C2211yescharacteristic
180#102×D73C2211yescharacteristic
181#102×D73C2211yescharacteristic
182#102×D73C2211yescharacteristic
183#102×D73C2211yescharacteristic
184#17988552C2211yescharacteristic
185#17988552C2211yescharacteristic
186#17988539C2211yescharacteristic
187C4×C8×D73C2211yescharacteristic
188#544×C73C2211yescharacteristic, complemented
189#540×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#499×C73C2211yescharacteristic, complemented
192#490×C73C2211yescharacteristic
193#486×C73C2211yescharacteristic
194#482×C73C2211yescharacteristic, complemented
195#482×C73C2211yescharacteristic, complemented
196#481×C73C2211yescharacteristic, complemented
197#480×C73C2211yescharacteristic, complemented
198#478×C73C2211yescharacteristic, complemented
199#478×C73C2211yescharacteristic, complemented
200#476×C73C2211yescharacteristic, complemented
201#474×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027—21no—
208C22×Dic146—21no—
209C2×Q8×D73—21no—
210C2×Q8×D73—21no—
211C2×D4×D73—21no—
212C2×D4×D73—21no—
213C2×D4×D73C2311yescharacteristic
214C2×D4×D73C2311yescharacteristic
215C2×#11924011C2311yescharacteristic
216C2×#11924011C2311yescharacteristic
217C2×C8×D73C2311yescharacteristic
218C2×C8×D73C2311yescharacteristic
219#14556591C2311yescharacteristic
220#14556591C2311yescharacteristic
221#14556590—21no—
222#14556590—21no—
223#14556590—21no—
224#14556590—21no—
225#14556590—21no—
226#14556590—21no—
227#14556590—21no—
228#14556590C2311yescharacteristic
229#14556590C2311yescharacteristic
230#14556590C2311yescharacteristic
231#14556590C2311yescharacteristic
232#14556590C2311yescharacteristic
233#14556590C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556590C2311yescharacteristic
236#14556589—21no—
237#14556589—21no—
238#14556589—21no—
239#14556589—21no—
240#14556588C2311yescharacteristic
241#14556587—21no—
242#14556587—21no—
243#14556587—21no—
244#14556587—21no—
245#14556587C2311yescharacteristic
246#14556587C2311yescharacteristic
247#14556583C2311yescharacteristic
248#14556583C2311yescharacteristic
249#14556583C2311yescharacteristic
250#14556582—21no—
251#14556582C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556577—21no—
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556572—21no—
268#14556572—21no—
269#14556571—21no—
270#14556571—21no—
271#14556569—21no—
272#14556569—21no—
273#14556569—21no—
274#14556569—21no—
275#14556569—21no—
276#14556569—21no—
277#14556569—21no—
278#14556569—21no—
279#14556569—21no—
280#14556569—21no—
281#14556568—21no—
282#14556568—21no—
283#14556568—21no—
284#14556568—21no—
285#14556567—21no—
286#14556567—21no—
287#14556566—21no—
288#14556566—21no—
289#14556566C2311yescharacteristic
290#14556566C2311yescharacteristic
291#14556565C2311yescharacteristic
292#14556565C2311yescharacteristic
293#14556564—21no—
294#14556564—21no—
295#14556564—21no—
296#14556564—21no—
297#14556563—21no—
298#14556563—21no—
299#14556563—21no—
300#14556563—21no—
301#14556562C2311yescharacteristic
302#14556562C2311yescharacteristic
303#14556561—21no—
304#14556561—21no—
305#14556559—21no—
306#14556559—21no—
307C4×Dic146—21no—
308C4×Dic146—21no—
309C4×Dic146—21no—
310#14556556—21no—
311#14556556—21no—
312#14556556—21no—
313#14556556—21no—
314#14556556—21no—
315#14556556—21no—
316#14556556—21no—
317#14556556D411yescharacteristic
318#14556556D411yescharacteristic
319C4×D292—21no—
320C4×D292C2311yescharacteristic
321C4×D292C2311yescharacteristic
322D4×Dic73C2311yescharacteristic
323D4×Dic73C2311yescharacteristic
324#14556553—21no—
325#14556553D411yescharacteristic
326#14556553D411yescharacteristic
327#14556553C2311yescharacteristic
328#14556553C2311yescharacteristic
329C4×C22⋊D73—21no—
330C4×C22⋊D73—21no—
331C4×C22⋊D73—21no—
332C4×C22⋊D73—21no—
333C4×C22⋊D73—21no—
334C4×C22⋊D73—21no—
335#14556551—21no—
336#14556551—21no—
337#14556551—21no—
338#14556551—21no—
339#14556551—21no—
340#14556551—21no—
341#14556551D411yescharacteristic
342#14556551D411yescharacteristic
343#14556551D411yescharacteristic
344#14556551D411yescharacteristic
345#14556550C2311yescharacteristic
346#14556549C2311yescharacteristic
347#14556549C2311yescharacteristic
348#14556549C2311yescharacteristic
349#14556549C2311yescharacteristic
350#14556549C2311yescharacteristic
351#14556549C2311yescharacteristic
352#14556548C2311yescharacteristic
353#14556548C2311yescharacteristic
354C2×C4⋊Dic73C2311yescharacteristic
355C2×#11924007—21no—
356C4⋊C4×D73—21no—
357C4⋊C4×D73—21no—
358C4⋊C4×D73C2311yescharacteristic
359C4⋊C4×D73C2311yescharacteristic
360C4⋊C4×D73C2311yescharacteristic
361C4⋊C4×D73C2311yescharacteristic
362C2×#11924005—21no—
363C2×#11924005—21no—
364C22⋊C4×D73—21no—
365C22⋊C4×D73—21no—
366C2×C4×Dic73C2311yescharacteristic
367C42×D73C2311yescharacteristic
368C42×D73C2311yescharacteristic
369#14556525C2311yescharacteristic
370#14556525C2311yescharacteristic
371#14556525C2311yescharacteristic
372#14556525C2311yescharacteristic
373#14556524C2311yescharacteristic
374#14556524C2311yescharacteristic
375#14556524C2311yescharacteristic
376#14556524C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556523C2311yescharacteristic
382#14556523C2311yescharacteristic
383#14556523C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556522C2311yescharacteristic
386#14556522C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393C4⋊#10596831C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556513C2311yescharacteristic
400#14556513C2311yescharacteristic
401#14556513C2311yescharacteristic
402#14556513C2311yescharacteristic
403#14556513C2311yescharacteristic
404#14556513C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556512C2311yescharacteristic
408#14556512C2311yescharacteristic
409#14556512C2311yescharacteristic
410#14556512C2311yescharacteristic
411#14556512C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556511C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423C22⋊#10596831C2311yescharacteristic
424C22⋊#10596831C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430C4×#10596831C2311yescharacteristic
431C8×Dic73C2311yescharacteristic
432C8×Dic73C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C4⋊Q8×C73—21no—
436C4⋊Q8×C73C2311yescharacteristic
437C4⋊Q8×C73C2311yescharacteristic
438#127×C73C2311yescharacteristic
439#125×C73—21no—
440#125×C73C2311yescharacteristic
441#125×C73C2311yescharacteristic
442#125×C73C2311yescharacteristic
443#123×C73—21no—
444#123×C73—21no—
445C22⋊Q8×C73—21no—
446C22⋊Q8×C73—21no—
447#121×C73—21no—
448#121×C73—21no—
449#121×C73C2311yescharacteristic
450#121×C73C2311yescharacteristic
451C4×D4×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453#117×C73C2311yescharacteristic
454#117×C73C2311yescharacteristic
455C2×C4⋊C4×C73C2311yescharacteristic
456#107×C73C2311yescharacteristic
457#107×C73C2311yescharacteristic
458#107×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#106×C73C2311yescharacteristic
461#106×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465C4⋊C8×C73C2311yescharacteristic
466#102×C73C2311yescharacteristic
467#102×C73C2311yescharacteristic
468#102×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474C22⋊C8×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476#97×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479C23×D73—21no—
480#11924028—22no—
481#11924028—22no—
482#11924028—82no—
483#11924028—82no—
484#11924027—82no—
485#11924027—82no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146—82no—
497C2×Dic146C2×D411yescharacteristic
498Q8×D73—82no—
499Q8×D73—82no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292C2×D411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73C2×D411yescharacteristic
518C2×C22⋊D73C2×D411yescharacteristic
519D4×D73—22no—
520D4×D73—22no—
521D4×D73—22no—
522D4×D73—22no—
523D4×D73—82no—
524D4×D73—82no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73C2×D411yescharacteristic
529C22×Dic73C2×D411yescharacteristic
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73C2×D411yescharacteristic
539C2×C4×D73C2×D411yescharacteristic
540C2×C4×D73C2×D411yescharacteristic
541C2×C4×D73C2×D411yescharacteristic
542C2×C4×D73C2411yescharacteristic
543C2×C4×D73C2411yescharacteristic
544#11924011—22no—
545#11924011—22no—
546C2×#10596831C2411yescharacteristic
547C2×#10596831C2411yescharacteristic
548C2×#10596831C2411yescharacteristic
549C2×#10596831C2411yescharacteristic
550C8×D73—22no—
551C8×D73—22no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73C2411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
559C4⋊Dic73C2411yescharacteristic
560C4⋊Dic73C2411yescharacteristic
561C4⋊Dic73C2411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005C2×D411yescharacteristic
607#11924005C2×D411yescharacteristic
608#11924005C2×D411yescharacteristic
609#11924005C2×D411yescharacteristic
610C4×Dic73—21no—
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73C2×D411yescharacteristic
618C4×Dic73C2×D411yescharacteristic
619C4×Dic73C2×D411yescharacteristic
620C4×Dic73C2×D411yescharacteristic
621C4×Dic73C2×D411yescharacteristic
622C4×Dic73C2×D411yescharacteristic
623C4×Dic73C2411yescharacteristic
624C4×Dic73C2411yescharacteristic
625C2×Q8×C73—21no—
626C2×Q8×C73—21no—
627C2×D4×C73—21no—
628C2×D4×C73—21no—
629C2×D4×C73—21no—
630C2×D4×C73—21no—
631C2×D4×C73C2411yescharacteristic
632C2×D4×C73C2411yescharacteristic
633C22×C4×C73—21no—
634C22×C4×C73—21no—
635C22×C4×C73—21no—
636C22×C4×C73C2411yescharacteristic
637C2×C8×C73C2411yescharacteristic
638C2×C8×C73C2411yescharacteristic
639C2×C8×C73C2411yescharacteristic
640C2×C8×C73C2411yescharacteristic
641C4⋊C4×C73—21no—
642C4⋊C4×C73—21no—
643C4⋊C4×C73—21no—
644C4⋊C4×C73—21no—
645C4⋊C4×C73—21no—
646C4⋊C4×C73—21no—
647C4⋊C4×C73—21no—
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73C2×D411yescharacteristic
651C4⋊C4×C73C2×D411yescharacteristic
652C4⋊C4×C73C2411yescharacteristic
653C4⋊C4×C73C2411yescharacteristic
654C4⋊C4×C73C2411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C4⋊C4×C73C2411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C22⋊C4×C73—21no—
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73C2×D411yescharacteristic
664C22⋊C4×C73C2×D411yescharacteristic
665C42×C73—21no—
666C42×C73C2411yescharacteristic
667C42×C73C2411yescharacteristic
668C23×C73—21no—
669C23×C73—21no—
670C23×C73C22×D411yescharacteristic
671C22×D73—21no—
672C22×D73—21no—
673C22×D73—42no—
674C22×D73—42no—
675C22×D73—81no—
676C22×D73—81no—
677C22×D73—81no—
678C22×D73—81no—
679C22×D73C22×D411yescharacteristic
680C22×D73C22×D411yescharacteristic
681Q8×C73—81no—
682Q8×C73—81no—
683D4×C73—21no—
684D4×C73—21no—
685D4×C73—21no—
686D4×C73—21no—
687D4×C73—81no—
688D4×C73—81no—
689D4×C73—81no—
690D4×C73—81no—
691C2×C4×C73—21no—
692C2×C4×C73—21no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—81no—
700C2×C4×C73—81no—
701C2×C4×C73—81no—
702C2×C4×C73C22×D411yescharacteristic
703C2×C4×C73C22×D411yescharacteristic
704C2×C4×C73C22×D411yescharacteristic
705C2×C4×C73C22×D411yescharacteristic
706C2×C4×C73C22×D411yescharacteristic
707C2×C4×C73C2511yescharacteristic
708C22⋊D73—22no—
709C22⋊D73—22no—
710C22⋊D73—42no—
711C22⋊D73—42no—
712C22⋊D73—42no—
713C22⋊D73—42no—
714C22⋊D73—42no—
715C22⋊D73—42no—
716C22⋊D73—81no—
717C22⋊D73—81no—
718C22⋊D73—81no—
719C22⋊D73—81no—
720C2×Dic73—22no—
721C2×Dic73—22no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—81no—
729C2×Dic73—81no—
730C2×Dic73—81no—
731C2×Dic73C22×D411yescharacteristic
732C2×Dic73C22×D411yescharacteristic
733C2×Dic73C22×D411yescharacteristic
734C2×Dic73C22×D411yescharacteristic
735C2×Dic73C22×D411yescharacteristic
736C2×Dic73C22×D411yescharacteristic
737D292—22no—
738D292—21no—
739D292—21no—
740D292—21no—
741D292—21no—
742D292—81no—
743D292—81no—
744D292—81no—
745D292—81no—
746C4×D73—21no—
747C4×D73—21no—
748C4×D73—22no—
749C4×D73—22no—
750C4×D73—22no—
751C4×D73—22no—
752C4×D73—81no—
753C4×D73—81no—
754C4×D73—81no—
755C4×D73—81no—
756C4×D73—81no—
757C4×D73—81no—
758C4×D73—81no—
759C4×D73—81no—
760C4×D732−1+412yes—
761C4×D732−1+412yes—
762Dic146—22no—
763Dic146—42no—
764Dic146—42no—
765Dic146—42no—
766Dic146—42no—
767Dic146—42no—
768Dic146—42no—
769Dic146—81no—
770Dic146—81no—
771Dic146—81no—
772Dic146—81no—
773C8×C73—21no—
774C8×C73—21no—
775C8×C73—21no—
776C8×C73—21no—
777#10596831—21no—
778#10596831—21no—
779#10596831—21no—
780#10596831—21no—
781C22×C73—21no—
782C22×C73—21no—
783C22×C73—21no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73—41no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73—41no—
790C22×C73C23×D411yescharacteristic
791C2×D73—21no—
792C2×D73—21no—
793C2×D73—21no—
794C2×D73—21no—
795C2×D73—21no—
796C2×D73—41no—
797C2×D73—41no—
798C2×D73—41no—
799C2×D73—41no—
800C2×D73—41no—
801C2×D73—41no—
802C2×D73—162no—
803C2×D73—162no—
804C2×D73#53612yes—
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—21no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73—41no—
816C4×C73C2×2−1+411yescharacteristic
817C4×C73C2×2−1+411yescharacteristic
818Dic73—21no—
819Dic73—21no—
820Dic73—21no—
821Dic73—41no—
822Dic73—41no—
823Dic73—41no—
824Dic73—41no—
825Dic73—41no—
826Dic73—41no—
827Dic73#53612yes—
828Dic73#57612yes—
829Dic73#57712yes—
830#60877—731nomaximal, Sylow
831C2×C73—41no—
832C2×C73—81no—
833C2×C73—81no—
834C2×C73C2×#53611yescharacteristic
835C2×C73C2×#57611yescharacteristic
836C2×C73C2×#57711yescharacteristic
837D73—22no—
838D73—41no—
839D73—81no—
840D73—81no—
841#3508—731no—
842#3503—731no—
843#3241—731no—
844#3241—731no—
845#3241—731no—
846#3241—731no—
847#3241—731no—
848#3241—731no—
849#3241—731no—
850#3241D7311yescharacteristic, complemented
851#3228—731no—
852#3228—731no—
853#3228—731no—
854#3228—731no—
855#3227—731no—
856#3227—731no—
857#3226—731no—
858#3226—731no—
859#3165—731no—
860#3160—731no—
861#3138—731no—
862C2×#486—731no—
863#3096—731no—
864#3096—731no—
865#3096—731no—
866#3096—731no—
867#3081—731no—
868#3081—731no—
869#3081—731no—
870#3081—731no—
871#2922—731no—
872C73#6087711yescharacteristic, complemented, Sylow
873#559—1461no—
874#559—1461no—
875Q82—1461no—
876#557—1461no—
877#554—1461no—
878#554—1461no—
879#554—1461no—
880#550—1461no—
881#550—1461no—
882D4×Q8—1461no—
883D4×Q8—1461no—
884D4×Q8—1461no—
885#546—1461no—
886#546—1461no—
887#546—1461no—
888#546—1461no—
889#544—731no—
890#544—731no—
891#544—731no—
892#544—731no—
893#544—731no—
894#544C2×D7311yescharacteristic, complemented
895#540—731no—
896#540—731no—
897#540—731no—
898#540C2×D7311yescharacteristic
899#535—731no—
900#535—731no—
901#533—731no—
902#533—731no—
903#533—731no—
904#533—731no—
905#532—731no—
906#532—731no—
907#532—731no—
908#532—731no—
909C2×C4⋊Q8—731no—
910C2×C4⋊Q8—731no—
911C2×C4⋊Q8—731no—
912C2×#127—731no—
913#520—731no—
914#520—731no—
915#518—731no—
916#518—731no—
917C4×#41—731no—
918#501—731no—
919#501—731no—
920#501—731no—
921#501C2×D7311yescharacteristic, complemented
922#500—731no—
923#500—731no—
924#500—731no—
925#500—731no—
926#499—731no—
927#499—731no—
928#499—731no—
929#499C2×D7311yescharacteristic, complemented
930#498—731no—
931#498—731no—
932#498—731no—
933#498—731no—
934#490—731no—
935#490—731no—
936#490—731no—
937#490C2×D7311yescharacteristic
938#486—731no—
939#486—731no—
940#486—731no—
941#486—731no—
942#486—731no—
943#486—731no—
944#486—731no—
945#486—731no—
946#486—731no—
947#486—731no—
948#486—731no—
949#486C2×D7311yescharacteristic
950#482—731no—
951#482—731no—
952#482—731no—
953#482—731no—
954#482—731no—
955#482—731no—
956#482—731no—
957#482—731no—
958#482—731no—
959#482—731no—
960#482—731no—
961#482—731no—
962#482—731no—
963#482—731no—
964#482C2×D7311yescharacteristic, complemented
965#482C2×D7311yescharacteristic, complemented
966#481—731no—
967#481—731no—
968#481—731no—
969#481—731no—
970#481—731no—
971#481—731no—
972#481—731no—
973#481C2×D7311yescharacteristic, complemented
974#480—731no—
975#480—731no—
976#480—731no—
977#480—731no—
978#480—731no—
979#480—731no—
980#480—731no—
981#480C2×D7311yescharacteristic, complemented
982#478—731no—
983#478—731no—
984#478—731no—
985#478—731no—
986#478—731no—
987#478—731no—
988#478—731no—
989#478—731no—
990#478—731no—
991#478—731no—
992#478—731no—
993#478—731no—
994#478—731no—
995#478—731no—
996#478C2×D7311yescharacteristic, complemented
997#478C2×D7311yescharacteristic, complemented
998#476—731no—
999#476—731no—
1000#476—731no—
1001#476—731no—
1002#476—731no—
1003#476—731no—
1004#476—731no—
1005#476C2×D7311yescharacteristic, complemented
1006#474—731no—
1007#474—731no—
1008#474—731no—
1009#474—731no—
1010#474—731no—
1011#474—731no—
1012#474—731no—
1013#474C2×D7311yescharacteristic, complemented
1014#433—731no—
1015#433—731no—
1016#433—731no—
1017#433C2×D7311yescharacteristic, complemented
1018#431—731no—
1019#431—731no—
1020#431—731no—
1021#431—731no—
1022#428—731no—
1023#428—731no—
1024#428—731no—
1025#428—731no—
1026#427—731no—
1027#427—731no—
1028#427—731no—
1029#427—731no—
1030#424—731no—
1031#424—731no—
1032#418—731no—
1033#418—731no—
1034#418—731no—
1035#418—731no—
1036C2×#102—731no—
1037C2×#102—731no—
1038C2×#102—731no—
1039C2×#102—731no—
1040#408—731no—
1041#408—731no—
1042C4×M16—731no—
1043C2×C4×C8—731no—
1044C2×#41—731no—
1045C2×#41—1461no—
1046C2×#41—1461no—
1047C2×#41—1461no—
1048C2×#41—1461no—
1049C22×Q8—1461no—
1050C22×Q8—1461no—
1051C22×Q8—1461no—
1052C22×D4—731no—
1053C22×D4—731no—
1054C22×D4—1461no—
1055C22×D4—1461no—
1056C2×M16—731no—
1057C2×M16—731no—
1058C22×C8—731no—
1059C22×C8—731no—
1060C4⋊Q8—21no—
1061C4⋊Q8—731no—
1062C4⋊Q8—731no—
1063C4⋊Q8—731no—
1064C4⋊Q8—731no—
1065C4⋊Q8—731no—
1066C4⋊Q8—731no—
1067C4⋊Q8—731no—
1068C4⋊Q8—731no—
1069C4⋊Q8—731no—
1070C4⋊Q8—731no—
1071C4⋊Q8—1461no—
1072C4⋊Q8—1461no—
1073C4⋊Q8—1461no—
1074C4⋊Q8—1461no—
1075C4⋊Q8—1461no—
1076C4⋊Q8—1461no—
1077C4⋊Q8—1461no—
1078C4⋊Q8—1461no—
1079C4⋊Q8—1461no—
1080C4⋊Q8—1461no—
1081C4⋊Q8—1461no—
1082C4⋊Q8C22×D7311yescharacteristic
1083C4⋊Q8C22×D7311yescharacteristic
1084#127—731no—
1085#127—731no—
1086#127—731no—
1087#127—1461no—
1088#127—1461no—
1089#127—1461no—
1090#127—1461no—
1091#127C22×D7311yescharacteristic
1092#125—21no—
1093#125—731no—
1094#125—731no—
1095#125—731no—
1096#125—731no—
1097#125—731no—
1098#125—1461no—
1099#125—1461no—
1100#125—1461no—
1101#125—1461no—
1102#125—1461no—
1103#125C22×D7311yescharacteristic
1104#125C22×D7311yescharacteristic
1105#125C22×D7311yescharacteristic
1106#124—1461no—
1107#124—1461no—
1108#124—1461no—
1109#124—1461no—
1110#124—1461no—
1111#124—1461no—
1112#123—21no—
1113#123—21no—
1114#123—1461no—
1115#123—1461no—
1116#123—1461no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120C22⋊Q8—21no—
1121C22⋊Q8—21no—
1122C22⋊Q8—1461no—
1123C22⋊Q8—1461no—
1124C22⋊Q8—1461no—
1125C22⋊Q8—1461no—
1126C22⋊Q8—1461no—
1127C22⋊Q8—1461no—
1128C22⋊Q8—1461no—
1129C22⋊Q8—1461no—
1130C22⋊Q8—1461no—
1131C22⋊Q8—1461no—
1132C22⋊Q8—1461no—
1133C22⋊Q8—1461no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140#121—21no—
1141#121—21no—
1142#121—731no—
1143#121—731no—
1144#121—731no—
1145#121—731no—
1146#121—731no—
1147#121—731no—
1148#121—1461no—
1149#121—1461no—
1150#121—1461no—
1151#121—1461no—
1152#121—1461no—
1153#121—1461no—
1154#121—1461no—
1155#121—1461no—
1156#121—1461no—
1157#121—1461no—
1158#121C22×D7311yescharacteristic
1159#121C22×D7311yescharacteristic
1160#120—1461no—
1161#120—1461no—
1162#120—1461no—
1163#120—1461no—
1164C4×Q8—731no—
1165C4×Q8—731no—
1166C4×Q8—1461no—
1167C4×Q8—1461no—
1168C4×Q8—1461no—
1169C4×Q8—1461no—
1170C4×Q8—1461no—
1171C4×Q8—1461no—
1172C4×Q8—1461no—
1173C4×Q8—1461no—
1174C4×Q8—1461no—
1175C4×Q8—1461no—
1176C4×D4—731no—
1177C4×D4—731no—
1178C4×D4—731no—
1179C4×D4—731no—
1180C4×D4—731no—
1181C4×D4—731no—
1182C4×D4—731no—
1183C4×D4—731no—
1184C4×D4—731no—
1185C4×D4—731no—
1186C4×D4—731no—
1187C4×D4—731no—
1188C4×D4—1461no—
1189C4×D4—1461no—
1190C4×D4—1461no—
1191C4×D4—1461no—
1192C4×D4—1461no—
1193C4×D4—1461no—
1194C4×D4—1461no—
1195C4×D4—1461no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4C22×D7311yescharacteristic
1203C4×D4C22×D7311yescharacteristic
1204#117—731no—
1205#117—731no—
1206#117—731no—
1207#117—731no—
1208#117—731no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—731no—
1213#117C22×D7311yescharacteristic
1214#117C22×D7311yescharacteristic
1215C2×C4⋊C4—731no—
1216C2×C4⋊C4—731no—
1217C2×C4⋊C4—731no—
1218C2×C4⋊C4—731no—
1219C2×C4⋊C4—731no—
1220C2×C4⋊C4—1461no—
1221C2×C4⋊C4—1461no—
1222C2×C4⋊C4—1461no—
1223C2×C4⋊C4C22×D7311yescharacteristic
1224C2×C22⋊C4—1461no—
1225C2×C22⋊C4—1461no—
1226C2×C22⋊C4—1461no—
1227C2×C22⋊C4—1461no—
1228C2×C42—731no—
1229C2×C42—731no—
1230C2×C42—731no—
1231#107—731no—
1232#107—731no—
1233#107—731no—
1234#107—731no—
1235#107—731no—
1236#107—731no—
1237#107—731no—
1238#107—731no—
1239#107—731no—
1240#107—731no—
1241#107—731no—
1242#107—731no—
1243#107C22×D7311yescharacteristic
1244#107C22×D7311yescharacteristic
1245#107C22×D7311yescharacteristic
1246#107C22×D7311yescharacteristic
1247#106—731no—
1248#106—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257#106—731no—
1258#106—731no—
1259#106C22×D7311yescharacteristic
1260#106C22×D7311yescharacteristic
1261#106C22×D7311yescharacteristic
1262#106C22×D7311yescharacteristic
1263C4⋊C8—731no—
1264C4⋊C8—731no—
1265C4⋊C8—731no—
1266C4⋊C8—731no—
1267C4⋊C8—731no—
1268C4⋊C8—731no—
1269C4⋊C8C22×D7311yescharacteristic
1270C4⋊C8C22×D7311yescharacteristic
1271#102—731no—
1272#102—731no—
1273#102—731no—
1274#102—731no—
1275#102—731no—
1276#102—731no—
1277#102—731no—
1278#102—731no—
1279#102—731no—
1280#102—731no—
1281#102—731no—
1282#102—731no—
1283#102—731no—
1284#102—731no—
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102C22×D7311yescharacteristic
1296#102C22×D7311yescharacteristic
1297#102C22×D7311yescharacteristic
1298#102C22×D7311yescharacteristic
1299#102C22×D7311yescharacteristic
1300#102C22×D7311yescharacteristic
1301#102C22×D7311yescharacteristic
1302#102C22×D7311yescharacteristic
1303C22⋊C8—731no—
1304C22⋊C8—731no—
1305C22⋊C8—731no—
1306C22⋊C8—731no—
1307C22⋊C8—731no—
1308C22⋊C8—731no—
1309C22⋊C8C22×D7311yescharacteristic
1310C22⋊C8C22×D7311yescharacteristic
1311#97—731no—
1312#97C22×D7311yescharacteristic
1313C4×C8—731no—
1314C4×C8—731no—
1315C4×C8—731no—
1316C4×C8—731no—
1317C4×C8—731no—
1318C4×C8C22×D7311yescharacteristic
1319C24—1461no—
1320C24—1461no—
1321#41—5842no—
1322#41—5842no—
1323#41—5842no—
1324#41—5842no—
1325#41—1462no—
1326#41—1462no—
1327C2×Q8—21no—
1328C2×Q8—21no—
1329C2×Q8—5842no—
1330C2×Q8—5842no—
1331C2×Q8—5842no—
1332C2×Q8—731no—
1333C2×Q8—1461no—
1334C2×Q8—1461no—
1335C2×Q8—1461no—
1336C2×Q8—1461no—
1337C2×Q8—1461no—
1338C2×Q8—1461no—
1339C2×Q8—1461no—
1340C2×Q8—1461no—
1341C2×Q8—1461no—
1342C2×Q8—1461no—
1343C2×D4—21no—
1344C2×D4—21no—
1345C2×D4—21no—
1346C2×D4—21no—
1347C2×D4—5842no—
1348C2×D4—5842no—
1349C2×D4—731no—
1350C2×D4—731no—
1351C2×D4—731no—
1352C2×D4—731no—
1353C2×D4—731no—
1354C2×D4—1461no—
1355C2×D4—1461no—
1356C2×D4—1462no—
1357C2×D4—1462no—
1358C2×D4—1462no—
1359C2×D4—1462no—
1360C2×D4—1461no—
1361C2×D4—1461no—
1362C2×D4—1461no—
1363C2×D4—1461no—
1364C2×D4—1461no—
1365C2×D4—1461no—
1366C2×D4—1461no—
1367C2×D4—1461no—
1368C2×D4—1461no—
1369C2×D4—1461no—
1370C2×D4—1461no—
1371C2×D4—1461no—
1372C2×D4C23×D7311yescharacteristic
1373C2×D4C23×D7311yescharacteristic
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—731no—
1378C22×C4—731no—
1379C22×C4—731no—
1380C22×C4—731no—
1381C22×C4—731no—
1382C22×C4—731no—
1383C22×C4—731no—
1384C22×C4—731no—
1385C22×C4—1461no—
1386C22×C4—1461no—
1387C22×C4—1461no—
1388C22×C4—1461no—
1389C22×C4—1461no—
1390C22×C4—1461no—
1391C22×C4—1461no—
1392C22×C4—1461no—
1393C22×C4—1461no—
1394C22×C4—1461no—
1395C22×C4—1461no—
1396C22×C4C23×D7311yescharacteristic
1397M16—1462no—
1398M16—1462no—
1399C2×C8—731no—
1400C2×C8—731no—
1401C2×C8—731no—
1402C2×C8—731no—
1403C2×C8—1462no—
1404C2×C8—1462no—
1405C2×C8C23×D7311yescharacteristic
1406C2×C8C23×D7311yescharacteristic
1407C2×C8C23×D7311yescharacteristic
1408C2×C8C23×D7311yescharacteristic
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—731no—
1419C4⋊C4—731no—
1420C4⋊C4—731no—
1421C4⋊C4—731no—
1422C4⋊C4—731no—
1423C4⋊C4—731no—
1424C4⋊C4—731no—
1425C4⋊C4—731no—
1426C4⋊C4—731no—
1427C4⋊C4—731no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4D4×D7311yescharacteristic
1454C4⋊C4D4×D7311yescharacteristic
1455C4⋊C4C23×D7311yescharacteristic
1456C4⋊C4C23×D7311yescharacteristic
1457C4⋊C4C23×D7311yescharacteristic
1458C4⋊C4C23×D7311yescharacteristic
1459C4⋊C4C23×D7311yescharacteristic
1460C4⋊C4C23×D7311yescharacteristic
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—731no—
1467C22⋊C4—731no—
1468C22⋊C4—731no—
1469C22⋊C4—731no—
1470C22⋊C4—1461no—
1471C22⋊C4—1461no—
1472C22⋊C4—1461no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4D4×D7311yescharacteristic
1490C22⋊C4D4×D7311yescharacteristic
1491C42—21no—
1492C42—731no—
1493C42—731no—
1494C42—731no—
1495C42—731no—
1496C42—731no—
1497C42—731no—
1498C42—731no—
1499C42—731no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42—1461no—
1504C42—1461no—
1505C42—1461no—
1506C42—1461no—
1507C42C23×D7311yescharacteristic
1508C42C23×D7311yescharacteristic
1509C23—21no—
1510C23—21no—
1511C23—2922no—
1512C23—2922no—
1513C23—5841no—
1514C23—5841no—
1515C23—5841no—
1516C23—5841no—
1517C23—731no—
1518C23—731no—
1519C23—1461no—
1520C23—1461no—
1521C23C2×D4×D7311yescharacteristic
1522Q8—81no—
1523Q8—81no—
1524Q8—2922no—
1525Q8—2922no—
1526Q8—2922no—
1527Q8—2922no—
1528Q8—2922no—
1529Q8—2922no—
1530Q8—5841no—
1531Q8—5841no—
1532Q8—5841no—
1533Q8—5841no—
1534Q8—1462no—
1535D4—21no—
1536D4—21no—
1537D4—21no—
1538D4—21no—
1539D4—81no—
1540D4—81no—
1541D4—81no—
1542D4—81no—
1543D4—2922no—
1544D4—2922no—
1545D4—2922no—
1546D4—2922no—
1547D4—2922no—
1548D4—2922no—
1549D4—5841no—
1550D4—5841no—
1551D4—5841no—
1552D4—5841no—
1553D4—5841no—
1554D4—5841no—
1555D4—5841no—
1556D4—5841no—
1557D4—1462no—
1558D4—1462no—
1559D4—1462no—
1560D4—1461no—
1561D4—1461no—
1562D4—1461no—
1563D4—1461no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—81no—
1575C2×C4—5841no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—5841no—
1579C2×C4—5841no—
1580C2×C4—5841no—
1581C2×C4—5841no—
1582C2×C4—5841no—
1583C2×C4—5841no—
1584C2×C4—5841no—
1585C2×C4—5841no—
1586C2×C4—731no—
1587C2×C4—731no—
1588C2×C4—731no—
1589C2×C4—732no—
1590C2×C4—732no—
1591C2×C4—731no—
1592C2×C4—731no—
1593C2×C4—731no—
1594C2×C4—1462no—
1595C2×C4—1462no—
1596C2×C4—1462no—
1597C2×C4—1462no—
1598C2×C4—1461no—
1599C2×C4—1461no—
1600C2×C4—1461no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1462no—
1605C2×C4—1462no—
1606C2×C4—1461no—
1607C2×C4—1461no—
1608C2×C4C2×D4×D7311yescharacteristic
1609C2×C4C2×D4×D7311yescharacteristic
1610C2×C4C2×D4×D7311yescharacteristic
1611C2×C4C2×D4×D7311yescharacteristic
1612C2×C4C2×D4×D7311yescharacteristic
1613C2×C4C24×D7311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1461no—
1619C8—1461no—
1620C8—1461no—
1621C8—1461no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—2921no—
1632C22—2921no—
1633C22—2921no—
1634C22—2921no—
1635C22—2921no—
1636C22—2921no—
1637C22—732no—
1638C22—11682no—
1639C22—11682no—
1640C22—1461no—
1641C22—1461no—
1642C22—1461no—
1643C22—1461no—
1644C22—1461no—
1645C22C22×D4×D7311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—2921no—
1658C4—2921no—
1659C4—2921no—
1660C4—2921no—
1661C4—2921no—
1662C4—2921no—
1663C4—732no—
1664C4—732no—
1665C4—732no—
1666C4—1461no—
1667C4—1461no—
1668C4—1461no—
1669C42−1+4×D7311yescharacteristic
1670C42−1+4×D7311yescharacteristic
1671C2—41no—
1672C2—81no—
1673C2—81no—
1674C2—2921no—
1675C2—5841no—
1676C2—5841no—
1677C2—1462no—
1678C2#536×D7311yescharacteristic
1679C2#576×D7311yescharacteristic
1680C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3241C2
socleC22×C73C23×D4
prime radical#22623803C2
hypercenter#3241D73
hypocenterC73#60877
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3241

Complements

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

NH ≅ G/Ntype
2. #22623746C2semidirect
3. #22621187C2semidirect
4. #22621186C2semidirect
5. #22621185C2semidirect
6. #22621184C2semidirect
7. #22621179C2semidirect
8. #22621178C2semidirect
9. #22621177C2semidirect
10. #22621066C2semidirect
11. #22621066C2semidirect
12. #22621065C2semidirect
13. #22621065C2semidirect
14. #22621058C2semidirect
15. #22621057C2semidirect
16. #22621051C2semidirect
17. #22621050C2semidirect
18. #22620476C2semidirect
19. #22620444C2semidirect
20. #22620304C2semidirect
21. #486×D73C2semidirect
22. #22619888C2semidirect
23. #22619886C2semidirect
24. #22619884C2semidirect
25. #22619882C2semidirect
26. #22619761C2semidirect
27. #22619759C2semidirect
28. #22619757C2semidirect
29. #22619755C2semidirect
30. #22618572C2semidirect
31. C73×#3241C2semidirect
49. #17989217C22semidirect
50. #17989215C22semidirect
52. #17989214C22semidirect
60. #17989143C22semidirect
61. #17989140C22semidirect
66. C2×#14556590C22semidirect
68. C4⋊Q8×D73C22semidirect
75. #17988997C22semidirect
76. #17988996C22semidirect
77. #17988993C22semidirect
78. #17988991C22semidirect
79. #17988991C22semidirect
80. #17988991C22semidirect
81. #17988991C22semidirect
82. #17988989C22semidirect
83. #17988986C22semidirect
84. #17988986C22semidirect
85. #17988984C22semidirect
86. #17988984C22semidirect
87. #17988984C22semidirect
88. #17988984C22semidirect
103. #17988914C22semidirect
104. #17988914C22semidirect
105. #17988913C22semidirect
106. #17988913C22semidirect
107. #17988912C22semidirect
108. #17988912C22semidirect
109. #17988911C22semidirect
110. #17988911C22semidirect
111. #17988910C22semidirect
112. #17988910C22semidirect
113. #17988909C22semidirect
114. #17988909C22semidirect
115. #17988908C22semidirect
116. #17988908C22semidirect
117. #17988907C22semidirect
118. #17988907C22semidirect
119. #17988906C22semidirect
120. #17988905C22semidirect
121. #17988904C22semidirect
122. #17988904C22semidirect
123. #17988903C22semidirect
124. #17988902C22semidirect
125. #17988902C22semidirect
126. #17988901C22semidirect
127. #17988900C22semidirect
128. #17988899C22semidirect
129. #17988899C22semidirect
130. #17988898C22semidirect
131. #17988890C22semidirect
132. #17988890C22semidirect
133. #17988889C22semidirect
134. #17988889C22semidirect
135. #17988888C22semidirect
136. #17988888C22semidirect
137. #17988887C22semidirect
138. #17988887C22semidirect
139. #17988886C22semidirect
140. #17988886C22semidirect
141. #17988885C22semidirect
142. #17988885C22semidirect
143. #17988884C22semidirect
144. #17988884C22semidirect
145. #17988878C22semidirect
146. #17988877C22semidirect
147. #17988876C22semidirect
148. #17988876C22semidirect
149. #17988875C22semidirect
150. #17988875C22semidirect
151. #17988874C22semidirect
152. #17988868C22semidirect
153. #17988867C22semidirect
154. #17988866C22semidirect
155. #17988866C22semidirect
156. #17988865C22semidirect
157. #17988865C22semidirect
158. #17988864C22semidirect
159. #17988649C22semidirect
160. #17988648C22semidirect
161. #17988646C22semidirect
162. #17988639C22semidirect
163. #17988639C22semidirect
164. #17988637C22semidirect
165. #17988637C22semidirect
188. #544×C73C22semidirect
190. #501×C73C22semidirect
191. #499×C73C22semidirect
194. #482×C73C22semidirect
195. #482×C73C22semidirect
196. #481×C73C22semidirect
197. #480×C73C22semidirect
198. #478×C73C22semidirect
199. #478×C73C22semidirect
200. #476×C73C22semidirect
201. #474×C73C22semidirect
202. #433×C73C22semidirect
850. #3241D73semidirect
872. C73#60877semidirect
894. #544C2×D73semidirect
921. #501C2×D73semidirect
929. #499C2×D73semidirect
964. #482C2×D73semidirect
965. #482C2×D73semidirect
973. #481C2×D73semidirect
981. #480C2×D73semidirect
996. #478C2×D73semidirect
997. #478C2×D73semidirect
1005. #476C2×D73semidirect
1013. #474C2×D73semidirect
1017. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238032
#226237462
#226211872
#226211862
#226211852
#226211842
#226211792
#226211782
#226211772
#226210662
#226210652
#226210582
#226210572
#226210512
#226210502
#226204762
#226204442
#226203042
#486×D732
#226198882
#226198862
#226198842
#226198822
#226197612
#226197592
#226197572
#226197552
#226185722
C73×#32412
#6087773