Finite Group Databasebeta

← #33967927

Subgroups — #33967927

Order 18688.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623547C211yesmaximal, characteristic, complemented
2#22623418C211yesmaximal, characteristic, complemented
3#22622954C211yesmaximal, characteristic, complemented
4#22622855C211yesmaximal, characteristic, complemented
5#22622661C211yesmaximal, characteristic, complemented
6#22622646C211yesmaximal, characteristic, complemented
7#22622374C211yesmaximal, characteristic, complemented
8#22622365C211yesmaximal, characteristic, complemented
9#22622273C211yesmaximal, characteristic, complemented
10#22621954C211yesmaximal, characteristic, complemented
11#22621947C211yesmaximal, characteristic, complemented
12#22621923C211yesmaximal, characteristic, complemented
13#22621792C211yesmaximal, characteristic, complemented
14#22621739C211yesmaximal, characteristic, complemented
15#22621620C211yesmaximal, characteristic, complemented
16#22621429C211yesmaximal, characteristic, complemented
17#22621427C211yesmaximal, characteristic, complemented
18#22620644C211yesmaximal, characteristic, complemented
19#22620632C211yesmaximal, characteristic, complemented
20#22620624C211yesmaximal, characteristic, complemented
21#22620075C211yesmaximal, characteristic, complemented
22#22620068C211yesmaximal, characteristic, complemented
23#22620066C211yesmaximal, characteristic, complemented
24#22620055C211yesmaximal, characteristic, complemented
25#22620048C211yesmaximal, characteristic, complemented
26#22620027C211yesmaximal, characteristic, complemented
27#22618941C211yesmaximal, characteristic, complemented
28#22618744C211yesmaximal, characteristic, complemented
29C2×#17988690C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C73×#3308C211yesmaximal, characteristic, complemented
32C2×#41×D73—21no—
33C2×#14556616C2211yescharacteristic
34C22×#11924015C2211yescharacteristic
35C2×SD16×D73C2211yescharacteristic
36#17989313C2211yescharacteristic, complemented
37#17989306—21no—
38#17989306C2211yescharacteristic, complemented
39#17989277—21no—
40#17989277C2211yescharacteristic, complemented
41#17989271—21no—
42#17989271C2211yescharacteristic, complemented
43#17989258C2211yescharacteristic
44#17989252C2211yescharacteristic
45Q8×C22⋊D73C2211yescharacteristic, complemented
46#17989247—21no—
47#17989244C2211yescharacteristic, complemented
48#17989238C2211yescharacteristic
49#17989238C2211yescharacteristic
50#17989237—21no—
51#17989237C2211yescharacteristic, complemented
52#17989229—21no—
53#17989229—21no—
54#17989225—21no—
55D4×D292C2211yescharacteristic
56#17989221C2211yescharacteristic
57#17989221C2211yescharacteristic
58#17989139—21no—
59#17989139C2211yescharacteristic, complemented
60#17989138C2211yescharacteristic
61#17989132C2211yescharacteristic
62#17989132C2211yescharacteristic
63#17989118—21no—
64#17989118C2211yescharacteristic, complemented
65#17989116—21no—
66#17989116C2211yescharacteristic, complemented
67#17989100—21no—
68#17989095—21no—
69#17989095—21no—
70#41×Dic73C2211yescharacteristic, complemented
71C4×#11924027—21no—
72C4×#11924027C2211yescharacteristic
73C2×Q8×Dic73C2211yescharacteristic, complemented
74C4×Q8×D73C2211yescharacteristic, complemented
75C2×#14556553C2211yescharacteristic
76C2×#14556553C2211yescharacteristic
77C4×D4×D73C2211yescharacteristic
78#17988995C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988991C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic, complemented
82#17988975C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic, complemented
84#17988952C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988936C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988922C2211yescharacteristic, complemented
90#17988917C2211yescharacteristic, complemented
91#17988916C2211yescharacteristic, complemented
92#17988912C2211yescharacteristic, complemented
93#17988908C2211yescharacteristic, complemented
94#17988902C2211yescharacteristic, complemented
95#17988902C2211yescharacteristic, complemented
96#17988901C2211yescharacteristic, complemented
97#17988899C2211yescharacteristic, complemented
98#17988898C2211yescharacteristic, complemented
99#17988890C2211yescharacteristic
100#17988890C2211yescharacteristic, complemented
101#17988888C2211yescharacteristic
102#17988887C2211yescharacteristic, complemented
103#17988880C2211yescharacteristic, complemented
104#17988880C2211yescharacteristic, complemented
105#17988879C2211yescharacteristic, complemented
106#17988870C2211yescharacteristic, complemented
107#17988866C2211yescharacteristic
108#17988866C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988835C2211yescharacteristic, complemented
111#17988833C2211yescharacteristic, complemented
112#17988831C2211yescharacteristic, complemented
113#17988822C2211yescharacteristic, complemented
114#17988822C2211yescharacteristic, complemented
115#17988821C2211yescharacteristic, complemented
116#17988819C2211yescharacteristic, complemented
117#17988819C2211yescharacteristic, complemented
118#17988816C2211yescharacteristic, complemented
119#17988814C2211yescharacteristic, complemented
120#17988801C2211yescharacteristic
121#17988801C2211yescharacteristic, complemented
122#17988799C2211yescharacteristic
123#17988791C2211yescharacteristic
124#17988791C2211yescharacteristic, complemented
125#17988788C2211yescharacteristic, complemented
126#17988787C2211yescharacteristic, complemented
127#17988785C2211yescharacteristic, complemented
128#17988785C2211yescharacteristic, complemented
129#17988785C2211yescharacteristic, complemented
130#17988780C2211yescharacteristic, complemented
131#17988740C2211yescharacteristic
132#17988740C2211yescharacteristic
133#17988737C2211yescharacteristic
134#17988736C2211yescharacteristic
135#17988732C2211yescharacteristic, complemented
136#17988727C2211yescharacteristic, complemented
137#17988727C2211yescharacteristic, complemented
138#17988726C2211yescharacteristic, complemented
139#17988720C2211yescharacteristic
140#17988719C2211yescharacteristic
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988699C2211yescharacteristic, complemented
144#17988696C2211yescharacteristic
145#17988696C2211yescharacteristic, complemented
146#17988696C2211yescharacteristic, complemented
147#17988690C2211yescharacteristic
148#17988690C2211yescharacteristic
149#17988690C2211yescharacteristic
150#17988690C2211yescharacteristic
151#17988690C2211yescharacteristic, complemented
152#17988690C2211yescharacteristic, complemented
153#17988690C2211yescharacteristic, complemented
154#17988690C2211yescharacteristic, complemented
155#17988690C2211yescharacteristic, complemented
156#17988690C2211yescharacteristic, complemented
157#17988689C2211yescharacteristic
158#17988688C2211yescharacteristic, complemented
159#17988688C2211yescharacteristic, complemented
160#17988687C2211yescharacteristic, complemented
161#17988686C2211yescharacteristic
162#17988686C2211yescharacteristic, complemented
163#17988686C2211yescharacteristic, complemented
164#17988685C2211yescharacteristic
165#17988684C2211yescharacteristic, complemented
166#17988672C2211yescharacteristic
167#17988672C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic
169#17988667C2211yescharacteristic, complemented
170#17988661C2211yescharacteristic, complemented
171#17988659C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic, complemented
174#17988650C2211yescharacteristic, complemented
175#17988643C2211yescharacteristic, complemented
176#17988641C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988627C2211yescharacteristic, complemented
179C2×#14556524C2211yescharacteristic, complemented
180#107×D73C2211yescharacteristic, complemented
181#17988593C2211yescharacteristic
182#103×D73C2211yescharacteristic, complemented
183C2×#14556513C2211yescharacteristic
184#102×D73C2211yescharacteristic
185M16×Dic73C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#548×C73C2211yescharacteristic, complemented
189#547×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#477×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#466×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#448×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202C2×#103×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027D411yescharacteristic
211#41×D73—48no—
212C2×Q8×D73—21no—
213C2×Q8×D73C2311yescharacteristic
214C22×D292C2311yescharacteristic
215C22×D292C2311yescharacteristic
216C2×D4×D73—21no—
217C2×D4×D73—21no—
218C2×D4×D73—21no—
219C2×D4×D73C2311yescharacteristic
220C22×C4×D73—21no—
221C22×C4×D73—21no—
222C22×C4×D73—21no—
223#14556616—24no—
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924015—24no—
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×#11924015C2311yescharacteristic
233C2×#11924015C2311yescharacteristic
234C2×#11924015C2311yescharacteristic
235SD16×D73—24no—
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924012C2311yescharacteristic
240C22×#10596831C2311yescharacteristic
241C2×C8×D73C2311yescharacteristic
242C2×C8×D73C2311yescharacteristic
243#14556590—21no—
244#14556590C2311yescharacteristic
245#14556590C2311yescharacteristic
246#14556590C2311yescharacteristic
247#14556589—21no—
248#14556589C2311yescharacteristic
249#14556588C2311yescharacteristic
250#14556587C2311yescharacteristic
251#14556587C2311yescharacteristic
252#14556584—21no—
253#14556584—21no—
254#14556584—21no—
255#14556584—21no—
256#14556584—21no—
257#14556584—21no—
258#14556583—21no—
259#14556583C2311yescharacteristic
260#14556582—21no—
261#14556582C2311yescharacteristic
262#14556581—21no—
263#14556581—21no—
264#14556581—21no—
265#14556580—21no—
266#14556578—21no—
267#14556578C2311yescharacteristic
268#14556577—21no—
269#14556577—21no—
270#14556576—21no—
271#14556576—21no—
272#14556574—21no—
273#14556574—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556572—21no—
278#14556572—21no—
279#14556572—21no—
280#14556570—21no—
281#14556570—21no—
282#14556570C2311yescharacteristic
283#14556570C2311yescharacteristic
284#14556569—21no—
285#14556569—21no—
286#14556569—21no—
287#14556569—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556567—21no—
292#14556567—21no—
293#14556567C2311yescharacteristic
294#14556566—21no—
295#14556566—21no—
296#14556566C2311yescharacteristic
297#14556566C2311yescharacteristic
298#14556565—21no—
299#14556565C2311yescharacteristic
300#14556565C2311yescharacteristic
301#14556564—21no—
302#14556564—21no—
303#14556564—21no—
304#14556564—21no—
305#14556563—21no—
306#14556563—21no—
307#14556562—21no—
308#14556562C2311yescharacteristic
309#14556561—21no—
310#14556561—21no—
311#14556561—21no—
312#14556561—21no—
313#14556559—21no—
314#14556559—21no—
315Q8×Dic73—21no—
316Q8×Dic73—21no—
317Q8×Dic73C2311yescharacteristic
318Q8×Dic73C2311yescharacteristic
319Q8×Dic73C2311yescharacteristic
320Q8×Dic73C2311yescharacteristic
321Q8×Dic73C2311yescharacteristic
322C4×Dic146—21no—
323C4×Dic146—21no—
324C4×Dic146C2311yescharacteristic
325C4×Dic146C2311yescharacteristic
326#14556556—21no—
327#14556556—21no—
328#14556556D411yescharacteristic
329#14556556C2311yescharacteristic
330C4×D292C2311yescharacteristic
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73D411yescharacteristic
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338#14556553—21no—
339#14556553—21no—
340#14556553—21no—
341#14556553—21no—
342#14556553—21no—
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73C2311yescharacteristic
354C4×C22⋊D73C2311yescharacteristic
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551D411yescharacteristic
360#14556551D411yescharacteristic
361#14556550—21no—
362#14556550C2311yescharacteristic
363#14556549—21no—
364#14556549D411yescharacteristic
365#14556547—21no—
366#14556547—21no—
367#14556547—21no—
368#14556547—21no—
369#14556547—21no—
370#14556547D411yescharacteristic
371#14556547D411yescharacteristic
372C2×C4⋊Dic73—21no—
373C2×C4⋊Dic73C2311yescharacteristic
374C4⋊C4×D73—21no—
375C4⋊C4×D73C2311yescharacteristic
376C4⋊C4×D73C2311yescharacteristic
377C2×#11924005—21no—
378C2×#11924005—21no—
379C22⋊C4×D73—21no—
380C2×C4×Dic73—21no—
381C2×C4×Dic73—21no—
382C2×C4×Dic73C2311yescharacteristic
383C2×C4×Dic73C2311yescharacteristic
384C42×D73—21no—
385C42×D73C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556524C2311yescharacteristic
395#14556523C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73—21no—
440C2×#41×C73C2311yescharacteristic
441C22×Q8×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C2×M16×C73C2311yescharacteristic
446C22×C8×C73C2311yescharacteristic
447C4⋊Q8×C73C2311yescharacteristic
448#124×C73—21no—
449#124×C73C2311yescharacteristic
450#123×C73—21no—
451#123×C73—21no—
452C22⋊Q8×C73—21no—
453C22⋊Q8×C73—21no—
454C22⋊Q8×C73C2311yescharacteristic
455#121×C73—21no—
456#121×C73C2311yescharacteristic
457#121×C73C2311yescharacteristic
458#121×C73C2311yescharacteristic
459C4×Q8×C73C2311yescharacteristic
460C4×D4×C73—21no—
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C2×C4⋊C4×C73C2311yescharacteristic
464C2×C4⋊C4×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482C23×D73—21no—
483C23×D73—21no—
484C23×D73—21no—
485#11924029—44no—
486#11924028—44no—
487#11924028—44no—
488#11924028—44no—
489#11924027—24no—
490#11924027—44no—
491#11924027—44no—
492#11924027—44no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146C2×D411yescharacteristic
498C2×Dic146C2411yescharacteristic
499Q8×D73—22no—
500Q8×D73—41no—
501Q8×D73—44no—
502C2×D292—22no—
503C2×D292—22no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—41no—
511C2×D292—41no—
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73C2×D411yescharacteristic
524C2×C22⋊D73C2×D411yescharacteristic
525D4×D73—22no—
526D4×D73—41no—
527D4×D73—44no—
528D4×D73—44no—
529D4×D73—44no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73—21no—
534C22×Dic73C2×D411yescharacteristic
535C22×Dic73C2×D411yescharacteristic
536C22×Dic73C2×D411yescharacteristic
537C22×Dic73C2×D411yescharacteristic
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—44no—
550C2×C4×D73—44no—
551C2×C4×D73—44no—
552C2×C4×D73C2×D411yescharacteristic
553C2×C4×D73C2×D411yescharacteristic
554C2×C4×D73C2411yescharacteristic
555#11924017—22no—
556#11924017—41no—
557#11924017—41no—
558#11924016—22no—
559#11924015—22no—
560#11924015—22no—
561#11924015—22no—
562#11924015—22no—
563#11924015—41no—
564#11924015#4114yescomplemented
565#11924013—22no—
566#11924013—22no—
567#11924013—41no—
568#11924012—22no—
569C2×#10596831—22no—
570C2×#10596831C2411yescharacteristic
571C2×#10596831C2411yescharacteristic
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C8×D73—22no—
575C8×D73—41no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73C2×D411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
587C4⋊Dic73C2411yescharacteristic
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73C2×D411yescharacteristic
617C22⋊Dic73C2×D411yescharacteristic
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2411yescharacteristic
648C4×Dic73C2411yescharacteristic
649C4×Dic73C2411yescharacteristic
650#41×C73—22no—
651#41×C73—41no—
652#41×C73—44no—
653C2×Q8×C73—21no—
654C2×Q8×C73—21no—
655C2×Q8×C73—22no—
656C2×Q8×C73—41no—
657C2×Q8×C73C2411yescharacteristic
658C2×Q8×C73C2411yescharacteristic
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73C2×D411yescharacteristic
664C2×D4×C73C2411yescharacteristic
665C2×D4×C73C2411yescharacteristic
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73C2411yescharacteristic
672C22×C4×C73C2411yescharacteristic
673SD16×C73—22no—
674SD16×C73—41no—
675D8×C73—41no—
676M16×C73—41no—
677C2×C8×C73—41no—
678C2×C8×C73C2411yescharacteristic
679C2×C8×C73C2411yescharacteristic
680C2×C8×C73C2411yescharacteristic
681C2×C8×C73C2411yescharacteristic
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73C2×D411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73C2×D411yescharacteristic
700C22⋊C4×C73C2×D411yescharacteristic
701C42×C73—21no—
702C42×C73C2411yescharacteristic
703C23×C73—21no—
704C23×C73—21no—
705C23×C73C22×D411yescharacteristic
706C23×C73C22×D411yescharacteristic
707C22×D73—21no—
708C22×D73—21no—
709C22×D73—21no—
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×D73C22×D411yescharacteristic
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723Q8×C73—42no—
724Q8×C73—42no—
725Q8×C73C2×#4112yescomplemented
726D4×C73—22no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—42no—
732D4×C73—42no—
733D4×C73—42no—
734D4×C73—42no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—42no—
746C2×C4×C73—42no—
747C2×C4×C73—42no—
748C2×C4×C73—42no—
749C2×C4×C73—42no—
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C2511yescharacteristic
755C22⋊D73—22no—
756C22⋊D73—42no—
757C22⋊D73—42no—
758C22⋊D73—42no—
759C22⋊D73—42no—
760C22⋊D73—42no—
761C22⋊D73—42no—
762C22⋊D73—81no—
763C22⋊D73—81no—
764C22⋊D73AGL(1,ℤ/8)14yescomplemented
765C2×Dic73—22no—
766C2×Dic73—22no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—21no—
772C2×Dic73—41no—
773C2×Dic73—41no—
774C2×Dic73—42no—
775C2×Dic73—42no—
776C2×Dic73—42no—
777C2×Dic73—42no—
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785D292—21no—
786D292—21no—
787D292—21no—
788D292—21no—
789D292—21no—
790D292—42no—
791D292—42no—
792D292—42no—
793D292—42no—
794D292—42no—
795D292—81no—
796D292C2×#4112yes—
797C4×D73—22no—
798C4×D73—21no—
799C4×D73—21no—
800C4×D73—41no—
801C4×D73—42no—
802C4×D73—42no—
803C4×D73—42no—
804C4×D73—42no—
805C4×D73—42no—
806C4×D73—42no—
807C4×D73—42no—
808C4×D73—42no—
809C4×D73—42no—
810C4×D73—42no—
811C4×D73—42no—
812Dic146—22no—
813Dic146—21no—
814Dic146—21no—
815Dic146—42no—
816Dic146—42no—
817Dic146—42no—
818Dic146—42no—
819C8×C73—21no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823#10596831—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831C2×#4112yescomplemented
827C22×C73—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—21no—
831C22×C73—21no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73C2×AGL(1,ℤ/8)12yes—
839C22×C73C23×D411yescharacteristic
840C2×D73—21no—
841C2×D73—21no—
842C2×D73—22no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—84no—
852C2×D73—84no—
853C2×D73—84no—
854C2×D73C2×AGL(1,ℤ/8)12yes—
855C4×C73—21no—
856C4×C73—22no—
857C4×C73—21no—
858C4×C73—21no—
859C4×C73—21no—
860C4×C73—41no—
861C4×C73—41no—
862C4×C73—41no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73C22×#4111yescharacteristic
866C4×C73#58511yescharacteristic
867Dic73—21no—
868Dic73—21no—
869Dic73—21no—
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—41no—
874Dic73—41no—
875Dic73—41no—
876Dic73—41no—
877Dic73—41no—
878Dic73C2×AGL(1,ℤ/8)12yes—
879#61452—731nomaximal, Sylow
880C2×C73—22no—
881C2×C73—41no—
882C2×C73—81no—
883C2×C73—81no—
884C2×C73D4×#4111yescharacteristic
885C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
886C2×C73#358611yescharacteristic
887D73—22no—
888D73—42no—
889D73—81no—
890D73—81no—
891#3482—731no—
892D4×#41—731no—
893#3397—731no—
894#3386—731no—
895#3368—731no—
896#3367—731no—
897#3343—731no—
898#3343—731no—
899#3334—731no—
900#3310—731no—
901#3310—731no—
902#3308—731no—
903#3308D7311yescharacteristic, complemented
904#3298—731no—
905#3294—731no—
906D4×SD16—731no—
907#3265—731no—
908#3265—731no—
909#3182—731no—
910#3180—731no—
911#3180—731no—
912#3115—731no—
913#3114—731no—
914#3114—731no—
915#3112—731no—
916#3112—731no—
917#3110—731no—
918#2970—731no—
919C4×AGL(1,ℤ/8)—731no—
920C2×#440—731no—
921C2×#440—731no—
922C73#6145211yescharacteristic, complemented, Sylow
923C22×#41—1461no—
924C2×AGL(1,ℤ/8)—731no—
925C22×SD16—731no—
926C22×SD16—731no—
927#557—731no—
928#556—731no—
929#556—1461no—
930#552—731no—
931#552—731no—
932#552—1461no—
933#552—1461no—
934#550—731no—
935D4×Q8—731no—
936D4×Q8—731no—
937#548—731no—
938#548—1461no—
939#548C2×D7311yescharacteristic, complemented
940#547—731no—
941#547—731no—
942#547—731no—
943#547—1461no—
944#547C2×D7311yescharacteristic
945#546—1461no—
946#546—1461no—
947#546—1461no—
948D42—731no—
949D42—731no—
950D42—731no—
951#533—731no—
952#533—1461no—
953#532—731no—
954#532—731no—
955#532—731no—
956#529—731no—
957#529—731no—
958#529—1461no—
959#529—1461no—
960#525—1461no—
961#525—1461no—
962#525—1461no—
963C4×#41—731no—
964C4×#41—731no—
965C4×#41—1461no—
966C2×C4×Q8—731no—
967C2×C4×Q8—731no—
968C2×C4×D4—731no—
969C2×C4×D4—731no—
970C2×C4×D4—731no—
971#501—731no—
972#501—731no—
973#500—731no—
974#496—731no—
975#496—731no—
976#492—731no—
977#490—731no—
978#490—731no—
979#489—731no—
980#489C2×D7311yescharacteristic, complemented
981#487—731no—
982#486—731no—
983#484—731no—
984#484C2×D7311yescharacteristic, complemented
985#483—731no—
986#483—731no—
987#482—731no—
988#482—731no—
989#480—731no—
990#480—731no—
991#480—731no—
992#480—731no—
993#480—731no—
994#480C2×D7311yescharacteristic, complemented
995#478—731no—
996#478—731no—
997#478—731no—
998#478—731no—
999#477—731no—
1000#477—731no—
1001#477—731no—
1002#477C2×D7311yescharacteristic, complemented
1003#475—731no—
1004#474—731no—
1005#474—731no—
1006#474—731no—
1007#468—731no—
1008#468—731no—
1009#468—731no—
1010#468C2×D7311yescharacteristic, complemented
1011#466—731no—
1012#466—731no—
1013#466—731no—
1014#466C2×D7311yescharacteristic, complemented
1015#465—731no—
1016#465—731no—
1017#465—731no—
1018#465—731no—
1019#463—731no—
1020#463—731no—
1021#463—731no—
1022#463C2×D7311yescharacteristic, complemented
1023#461—731no—
1024#461—731no—
1025#460—731no—
1026#460—731no—
1027#460—731no—
1028#460—731no—
1029#460—731no—
1030#459—731no—
1031#450—731no—
1032#450—731no—
1033#450—731no—
1034#450—731no—
1035#449—731no—
1036#449C2×D7311yescharacteristic, complemented
1037#448—731no—
1038#448—731no—
1039#448—731no—
1040#448C2×D7311yescharacteristic, complemented
1041#447—731no—
1042#447—731no—
1043#446—731no—
1044#446—731no—
1045#442—731no—
1046#442—731no—
1047#442—731no—
1048#442—731no—
1049#440—731no—
1050#440—731no—
1051#440—731no—
1052#440—731no—
1053#440—731no—
1054#440—731no—
1055#440—731no—
1056#440—731no—
1057#440—731no—
1058#440—731no—
1059#440—731no—
1060#440—731no—
1061#440—731no—
1062#440—731no—
1063#440—731no—
1064#440—731no—
1065#440—731no—
1066#440—731no—
1067#440—731no—
1068#440C2×D7311yescharacteristic, complemented
1069C4×SD16—731no—
1070C4×SD16—731no—
1071C4×D8—731no—
1072C4×D8—731no—
1073#435—731no—
1074#435—731no—
1075#435—731no—
1076#435C2×D7311yescharacteristic, complemented
1077C8×D4—731no—
1078C8×D4—731no—
1079#432—731no—
1080#432—731no—
1081#432—731no—
1082#428—731no—
1083C2×#107—731no—
1084C2×#107—731no—
1085#418—731no—
1086#417C2×D7311yescharacteristic, complemented
1087C2×#103—731no—
1088C2×#103C2×D7311yescharacteristic, complemented
1089C2×#102—731no—
1090C2×#102—731no—
1091C4×M16—731no—
1092C2×#97—731no—
1093C2×#97—731no—
1094C2×#41—21no—
1095C2×#41—2928no—
1096C2×#41—731no—
1097C2×#41—1461no—
1098C2×#41—1461no—
1099C2×#41—1461no—
1100C2×#41—1461no—
1101C2×#41—1461no—
1102C2×#41—1461no—
1103C2×#41—1461no—
1104C2×#41C22×D7311yescharacteristic
1105C22×Q8—731no—
1106C22×Q8—1461no—
1107C22×Q8C22×D7311yescharacteristic
1108C22×D4—731no—
1109C22×D4—731no—
1110C22×D4—731no—
1111C22×D4—1461no—
1112C22×D4—1461no—
1113C22×D4—1461no—
1114C23×C4—1461no—
1115C23×C4—1461no—
1116C23×C4—1461no—
1117AGL(1,ℤ/8)—1464no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16—731no—
1128C2×SD16—1464no—
1129C2×SD16—1464no—
1130C2×SD16C22×D7311yescharacteristic
1131C2×SD16C22×D7311yescharacteristic
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8—731no—
1135C2×D8C22×D7311yescharacteristic
1136C2×M16—731no—
1137C2×M16C22×D7311yescharacteristic
1138C22×C8—731no—
1139C22×C8—731no—
1140C22×C8—731no—
1141C22×C8C22×D7311yescharacteristic
1142C4⋊Q8—731no—
1143C4⋊Q8—731no—
1144C4⋊Q8—731no—
1145C4⋊Q8—731no—
1146C4⋊Q8—1461no—
1147C4⋊Q8—1461no—
1148C4⋊Q8C22×D7311yescharacteristic
1149#127—731no—
1150#127—731no—
1151#127—731no—
1152#126—1461no—
1153#126—1461no—
1154#126—1461no—
1155#126—1461no—
1156#126—1461no—
1157#126—1461no—
1158#125—731no—
1159#125—731no—
1160#125—1461no—
1161#125—1461no—
1162#125—1461no—
1163#125—1461no—
1164#125—1461no—
1165#124—21no—
1166#124—731no—
1167#124—1461no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124C22×D7311yescharacteristic
1172#123—21no—
1173#123—21no—
1174#123—1461no—
1175#123—1461no—
1176#123—1461no—
1177#123—1461no—
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184C22⋊Q8—21no—
1185C22⋊Q8—21no—
1186C22⋊Q8—731no—
1187C22⋊Q8—731no—
1188C22⋊Q8—731no—
1189C22⋊Q8—1461no—
1190C22⋊Q8—1461no—
1191C22⋊Q8—1461no—
1192C22⋊Q8—1461no—
1193C22⋊Q8—1461no—
1194C22⋊Q8—1461no—
1195C22⋊Q8—1461no—
1196C22⋊Q8—1461no—
1197C22⋊Q8—1461no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8C22×D7311yescharacteristic
1201#121—21no—
1202#121—731no—
1203#121—731no—
1204#121—731no—
1205#121—731no—
1206#121—731no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121C22×D7311yescharacteristic
1218#121C22×D7311yescharacteristic
1219#121C22×D7311yescharacteristic
1220#120—1461no—
1221#120—1461no—
1222#120—1461no—
1223#120—1461no—
1224#120—1461no—
1225#120—1461no—
1226C4×Q8—731no—
1227C4×Q8—731no—
1228C4×Q8—731no—
1229C4×Q8—731no—
1230C4×Q8—731no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—1461no—
1236C4×Q8—1461no—
1237C4×Q8—1461no—
1238C4×Q8—1461no—
1239C4×Q8—1461no—
1240C4×Q8—1461no—
1241C4×Q8C22×D7311yescharacteristic
1242C4×D4—21no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—731no—
1256C4×D4—731no—
1257C4×D4—731no—
1258C4×D4—731no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4—1461no—
1273C4×D4—1461no—
1274C4×D4C22×D7311yescharacteristic
1275C4×D4C22×D7311yescharacteristic
1276#117—731no—
1277#117—731no—
1278#117—731no—
1279#117—731no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286#117—1461no—
1287C2×C4⋊C4—731no—
1288C2×C4⋊C4—731no—
1289C2×C4⋊C4—731no—
1290C2×C4⋊C4—1461no—
1291C2×C4⋊C4—1461no—
1292C2×C4⋊C4C22×D7311yescharacteristic
1293C2×C4⋊C4C22×D7311yescharacteristic
1294C2×C22⋊C4—1461no—
1295C2×C22⋊C4—1461no—
1296C2×C22⋊C4—1461no—
1297C2×C42—731no—
1298C2×C42—731no—
1299C2×C42—731no—
1300C2×C42—1461no—
1301C2×C42—1461no—
1302C2×C42—1461no—
1303#107—731no—
1304#107—731no—
1305#107—731no—
1306#107—731no—
1307#107—731no—
1308#107—731no—
1309#107—731no—
1310#107—731no—
1311#107—731no—
1312#107C22×D7311yescharacteristic
1313#107C22×D7311yescharacteristic
1314#107C22×D7311yescharacteristic
1315#106—731no—
1316#106—731no—
1317#106—731no—
1318#106—731no—
1319C4⋊C8—731no—
1320C4⋊C8—731no—
1321C4⋊C8—731no—
1322C4⋊C8—731no—
1323C4⋊C8—731no—
1324C4⋊C8C22×D7311yescharacteristic
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103C22×D7311yescharacteristic
1332#103C22×D7311yescharacteristic
1333#103C22×D7311yescharacteristic
1334#103C22×D7311yescharacteristic
1335#103C22×D7311yescharacteristic
1336#103C22×D7311yescharacteristic
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102C22×D7311yescharacteristic
1354#102C22×D7311yescharacteristic
1355#102C22×D7311yescharacteristic
1356#102C22×D7311yescharacteristic
1357C22⋊C8—731no—
1358C22⋊C8—731no—
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8C22×D7311yescharacteristic
1362C22⋊C8C22×D7311yescharacteristic
1363#97—731no—
1364#97—731no—
1365#97—731no—
1366#97—731no—
1367#97—731no—
1368#97—731no—
1369#97—731no—
1370#97C22×D7311yescharacteristic
1371C4×C8—731no—
1372C4×C8—731no—
1373C24—1461no—
1374C24—1461no—
1375C24—1461no—
1376#41—22no—
1377#41—41no—
1378#41—44no—
1379#41—2924no—
1380#41—2924no—
1381#41—2924no—
1382#41—2924no—
1383#41—2924no—
1384#41—2924no—
1385#41—2924no—
1386#41—1464no—
1387C2×Q8—21no—
1388C2×Q8—21no—
1389C2×Q8—22no—
1390C2×Q8—41no—
1391C2×Q8—2924no—
1392C2×Q8—2921no—
1393C2×Q8—731no—
1394C2×Q8—731no—
1395C2×Q8—1461no—
1396C2×Q8—1461no—
1397C2×Q8—1461no—
1398C2×Q8—1461no—
1399C2×Q8—1462no—
1400C2×Q8C23×D7311yescharacteristic
1401C2×Q8C23×D7311yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—2921no—
1407C2×D4—2921no—
1408C2×D4—2924no—
1409C2×D4—2924no—
1410C2×D4—2924no—
1411C2×D4—2921no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—731no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1462no—
1420C2×D4—1462no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1462no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4D4×D7311yescharacteristic
1435C2×D4C23×D7311yescharacteristic
1436C2×D4C23×D7311yescharacteristic
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—2924no—
1443C22×C4—2924no—
1444C22×C4—2924no—
1445C22×C4—731no—
1446C22×C4—731no—
1447C22×C4—731no—
1448C22×C4—731no—
1449C22×C4—731no—
1450C22×C4—731no—
1451C22×C4—731no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4—1461no—
1464C22×C4—1461no—
1465C22×C4—1461no—
1466C22×C4—1461no—
1467C22×C4C23×D7311yescharacteristic
1468C22×C4C23×D7311yescharacteristic
1469SD16—22no—
1470SD16—41no—
1471SD16—2921no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—734no—
1475SD16—1462no—
1476SD16—1462no—
1477SD16—1462no—
1478SD16—1462no—
1479SD16—1462no—
1480SD16—1462no—
1481D8—41no—
1482D8—2921no—
1483D8—1462no—
1484D8—1462no—
1485M16—41no—
1486M16—1462no—
1487C2×C8—41no—
1488C2×C8—2921no—
1489C2×C8—731no—
1490C2×C8—731no—
1491C2×C8—731no—
1492C2×C8—731no—
1493C2×C8—1462no—
1494C2×C8—1462no—
1495C2×C8C23×D7311yescharacteristic
1496C2×C8C23×D7311yescharacteristic
1497C2×C8C23×D7311yescharacteristic
1498C2×C8C23×D7311yescharacteristic
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—731no—
1505C4⋊C4—731no—
1506C4⋊C4—731no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4D4×D7311yescharacteristic
1536C4⋊C4C23×D7311yescharacteristic
1537C4⋊C4C23×D7311yescharacteristic
1538C4⋊C4C23×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—731no—
1548C22⋊C4—731no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4D4×D7311yescharacteristic
1574C22⋊C4D4×D7311yescharacteristic
1575C42—21no—
1576C42—731no—
1577C42—731no—
1578C42—731no—
1579C42—731no—
1580C42—731no—
1581C42—731no—
1582C42—731no—
1583C42—731no—
1584C42—731no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42—1461no—
1589C42—1461no—
1590C42—1461no—
1591C42—1461no—
1592C42—1461no—
1593C42C23×D7311yescharacteristic
1594C23—21no—
1595C23—21no—
1596C23—2922no—
1597C23—2922no—
1598C23—2922no—
1599C23—2922no—
1600C23—2922no—
1601C23—2922no—
1602C23—5841no—
1603C23—5841no—
1604C23—5841no—
1605C23—731no—
1606C23—1461no—
1607C23—1461no—
1608C23—1461no—
1609C23C2×D4×D7311yescharacteristic
1610C23C2×D4×D7311yescharacteristic
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—42no—
1615Q8—42no—
1616Q8—2922no—
1617Q8—2922no—
1618Q8—2922no—
1619Q8—2922no—
1620Q8—1462no—
1621Q8—1461no—
1622Q8—1461no—
1623Q8#41×D7312yescomplemented
1624D4—22no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—42no—
1630D4—42no—
1631D4—42no—
1632D4—42no—
1633D4—2922no—
1634D4—2922no—
1635D4—2922no—
1636D4—2922no—
1637D4—2922no—
1638D4—2922no—
1639D4—2922no—
1640D4—2922no—
1641D4—2922no—
1642D4—2922no—
1643D4—2922no—
1644D4—5841no—
1645D4—5841no—
1646D4—5841no—
1647D4—734no—
1648D4—732no—
1649D4—1462no—
1650D4—1461no—
1651D4—1461no—
1652D4—1461no—
1653D4—1461no—
1654D4—1461no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—42no—
1666C2×C4—42no—
1667C2×C4—42no—
1668C2×C4—42no—
1669C2×C4—42no—
1670C2×C4—2922no—
1671C2×C4—2922no—
1672C2×C4—2921no—
1673C2×C4—2922no—
1674C2×C4—2922no—
1675C2×C4—2922no—
1676C2×C4—2922no—
1677C2×C4—2922no—
1678C2×C4—2922no—
1679C2×C4—2922no—
1680C2×C4—2922no—
1681C2×C4—2922no—
1682C2×C4—2922no—
1683C2×C4—2922no—
1684C2×C4—2922no—
1685C2×C4—2922no—
1686C2×C4—2921no—
1687C2×C4—2921no—
1688C2×C4—731no—
1689C2×C4—731no—
1690C2×C4—731no—
1691C2×C4—731no—
1692C2×C4—731no—
1693C2×C4—731no—
1694C2×C4—731no—
1695C2×C4—1462no—
1696C2×C4—1461no—
1697C2×C4—1461no—
1698C2×C4—1461no—
1699C2×C4—1461no—
1700C2×C4—1461no—
1701C2×C4—1462no—
1702C2×C4—1462no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4C2×D4×D7311yescharacteristic
1706C2×C4C2×D4×D7311yescharacteristic
1707C2×C4C2×D4×D7311yescharacteristic
1708C2×C4C2×D4×D7311yescharacteristic
1709C2×C4C24×D7311yescharacteristic
1710C8—21no—
1711C8—21no—
1712C8—21no—
1713C8—21no—
1714C8—732no—
1715C8—1461no—
1716C8—1461no—
1717C8—1461no—
1718C22—21no—
1719C22—21no—
1720C22—21no—
1721C22—21no—
1722C22—21no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—2921no—
1730C22—2921no—
1731C22—2921no—
1732C22—2921no—
1733C22—2921no—
1734C22—2921no—
1735C22—2921no—
1736C22—2921no—
1737C22—5844no—
1738C22—5844no—
1739C22—5844no—
1740C22—732no—
1741C22—1462no—
1742C22—1461no—
1743C22—1461no—
1744C22AGL(1,ℤ/8)×D7312yes—
1745C22C22×D4×D7311yescharacteristic
1746C4—21no—
1747C4—21no—
1748C4—21no—
1749C4—22no—
1750C4—21no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—2921no—
1757C4—2921no—
1758C4—2921no—
1759C4—2921no—
1760C4—2921no—
1761C4—732no—
1762C4—1461no—
1763C4—1461no—
1764C4—1461no—
1765C4—1461no—
1766C4—1461no—
1767C4—1461no—
1768C4C2×#41×D7311yescharacteristic
1769C4#1798942211yescharacteristic
1770C2—22no—
1771C2—41no—
1772C2—81no—
1773C2—81no—
1774C2—2922no—
1775C2—5841no—
1776C2—5841no—
1777C2—1462no—
1778C2#2262341511yescharacteristic
1779C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1780C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3308C2
socleC22×C73C23×D4
hypercenter#3308D73
hypocenterC73#61452
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #22623547C2semidirect
2. #22623418C2semidirect
3. #22622954C2semidirect
4. #22622855C2semidirect
5. #22622661C2semidirect
6. #22622646C2semidirect
7. #22622374C2semidirect
8. #22622365C2semidirect
9. #22622273C2semidirect
10. #22621954C2semidirect
11. #22621947C2semidirect
12. #22621923C2semidirect
13. #22621792C2semidirect
14. #22621739C2semidirect
15. #22621620C2semidirect
16. #22621429C2semidirect
17. #22621427C2semidirect
18. #22620644C2semidirect
19. #22620632C2semidirect
20. #22620624C2semidirect
21. #22620075C2semidirect
22. #22620068C2semidirect
23. #22620066C2semidirect
24. #22620055C2semidirect
25. #22620048C2semidirect
26. #22620027C2semidirect
27. #22618941C2semidirect
28. #22618744C2semidirect
29. C2×#17988690C2semidirect
30. #440×D73C2semidirect
31. C73×#3308C2semidirect
36. #17989313C22semidirect
38. #17989306C22semidirect
40. #17989277C22semidirect
42. #17989271C22semidirect
45. Q8×C22⋊D73C22semidirect
47. #17989244C22semidirect
51. #17989237C22semidirect
59. #17989139C22semidirect
64. #17989118C22semidirect
66. #17989116C22semidirect
70. #41×Dic73C22semidirect
73. C2×Q8×Dic73C22semidirect
74. C4×Q8×D73C22semidirect
78. #17988995C22semidirect
79. #17988993C22semidirect
80. #17988991C22semidirect
81. #17988977C22semidirect
82. #17988975C22semidirect
83. #17988958C22semidirect
84. #17988952C22semidirect
85. #17988950C22semidirect
86. #17988945C22semidirect
87. #17988936C22semidirect
88. #17988932C22semidirect
89. #17988922C22semidirect
90. #17988917C22semidirect
91. #17988916C22semidirect
92. #17988912C22semidirect
93. #17988908C22semidirect
94. #17988902C22semidirect
95. #17988902C22semidirect
96. #17988901C22semidirect
97. #17988899C22semidirect
98. #17988898C22semidirect
100. #17988890C22semidirect
102. #17988887C22semidirect
103. #17988880C22semidirect
104. #17988880C22semidirect
105. #17988879C22semidirect
106. #17988870C22semidirect
108. #17988866C22semidirect
109. #17988865C22semidirect
110. #17988835C22semidirect
111. #17988833C22semidirect
112. #17988831C22semidirect
113. #17988822C22semidirect
114. #17988822C22semidirect
115. #17988821C22semidirect
116. #17988819C22semidirect
117. #17988819C22semidirect
118. #17988816C22semidirect
119. #17988814C22semidirect
121. #17988801C22semidirect
124. #17988791C22semidirect
125. #17988788C22semidirect
126. #17988787C22semidirect
127. #17988785C22semidirect
128. #17988785C22semidirect
129. #17988785C22semidirect
130. #17988780C22semidirect
135. #17988732C22semidirect
136. #17988727C22semidirect
137. #17988727C22semidirect
138. #17988726C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
143. #17988699C22semidirect
145. #17988696C22semidirect
146. #17988696C22semidirect
151. #17988690C22semidirect
152. #17988690C22semidirect
153. #17988690C22semidirect
154. #17988690C22semidirect
155. #17988690C22semidirect
156. #17988690C22semidirect
158. #17988688C22semidirect
159. #17988688C22semidirect
160. #17988687C22semidirect
162. #17988686C22semidirect
163. #17988686C22semidirect
165. #17988684C22semidirect
167. #17988672C22semidirect
169. #17988667C22semidirect
170. #17988661C22semidirect
171. #17988659C22semidirect
172. #17988656C22semidirect
173. C8×C22⋊D73C22semidirect
174. #17988650C22semidirect
175. #17988643C22semidirect
176. #17988641C22semidirect
177. #17988641C22semidirect
178. #17988627C22semidirect
179. C2×#14556524C22semidirect
180. #107×D73C22semidirect
182. #103×D73C22semidirect
185. M16×Dic73C22semidirect
186. C2×#14556501C22semidirect
187. #97×D73C22semidirect
188. #548×C73C22semidirect
190. #489×C73C22semidirect
191. #484×C73C22semidirect
192. #480×C73C22semidirect
193. #477×C73C22semidirect
194. #468×C73C22semidirect
195. #466×C73C22semidirect
196. #463×C73C22semidirect
197. #449×C73C22semidirect
198. #448×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #417×C73C22semidirect
202. C2×#103×C73C22semidirect
564. #11924015#41semidirect
725. Q8×C73C2×#41semidirect
764. C22⋊D73AGL(1,ℤ/8)semidirect
826. #10596831C2×#41semidirect
903. #3308D73semidirect
922. C73#61452semidirect
939. #548C2×D73semidirect
980. #489C2×D73semidirect
984. #484C2×D73semidirect
994. #480C2×D73semidirect
1002. #477C2×D73semidirect
1010. #468C2×D73semidirect
1014. #466C2×D73semidirect
1022. #463C2×D73semidirect
1036. #449C2×D73semidirect
1040. #448C2×D73semidirect
1068. #440C2×D73semidirect
1076. #435C2×D73semidirect
1086. #417C2×D73semidirect
1088. C2×#103C2×D73semidirect
1623. Q8#41×D73semidirect

Maximal subgroups

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

subgroupindex
#226235472
#226234182
#226229542
#226228552
#226226612
#226226462
#226223742
#226223652
#226222732
#226219542
#226219472
#226219232
#226217922
#226217392
#226216202
#226214292
#226214272
#226206442
#226206322
#226206242
#226200752
#226200682
#226200662
#226200552
#226200482
#226200272
#226189412
#226187442
C2×#179886902
#440×D732
C73×#33082
#6145273