Finite Group Databasebeta

← #33969120

Subgroups — #33969120

Order 18688.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623895C211yesmaximal, characteristic, complemented
2#22623860C211yesmaximal, characteristic, complemented
3#22623018C211yesmaximal, characteristic, complemented
4#22622825C211yesmaximal, characteristic, complemented
5#22622720C211yesmaximal, characteristic, complemented
6#22622685C211yesmaximal, characteristic, complemented
7#22622524C211yesmaximal, characteristic, complemented
8#22622476C211yesmaximal, characteristic, complemented
9#22622450C211yesmaximal, characteristic, complemented
10#22622169C211yesmaximal, characteristic, complemented
11#22622153C211yesmaximal, characteristic, complemented
12#22622083C211yesmaximal, characteristic, complemented
13#22622074C211yesmaximal, characteristic, complemented
14#22621898C211yesmaximal, characteristic, complemented
15#22621535C211yesmaximal, characteristic, complemented
16#22621415C211yesmaximal, characteristic, complemented
17#22621412C211yesmaximal, characteristic, complemented
18#22620609C211yesmaximal, characteristic, complemented
19#22620549C211yesmaximal, characteristic, complemented
20#22620529C211yesmaximal, characteristic, complemented
21#22620201C211yesmaximal, characteristic, complemented
22#22620170C211yesmaximal, characteristic, complemented
23#22620118C211yesmaximal, characteristic, complemented
24#22620116C211yesmaximal, characteristic, complemented
25#22620039C211yesmaximal, characteristic, complemented
26#22620024C211yesmaximal, characteristic, complemented
27#22618913C211yesmaximal, characteristic, complemented
28#22618779C211yesmaximal, characteristic, complemented
29#22618766C211yesmaximal, characteristic, complemented
30#22618736C211yesmaximal, characteristic, complemented
31C73×#3311C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556616C2211yescharacteristic
34C22×#11924013C2211yescharacteristic
35#17989322C2211yescharacteristic, complemented
36#17989319C2211yescharacteristic, complemented
37#17989300C2211yescharacteristic
38#17989300C2211yescharacteristic, complemented
39#17989296C2211yescharacteristic, complemented
40#17989283C2211yescharacteristic
41#17989280—21no—
42#17989271C2211yescharacteristic, complemented
43#17989263—21no—
44#17989262—21no—
45#17989262—21no—
46#17989260—21no—
47#17989252C2211yescharacteristic, complemented
48#17989249—21no—
49#17989237C2211yescharacteristic, complemented
50#17989230—21no—
51#17989228C2211yescharacteristic
52#17989228C2211yescharacteristic, complemented
53#17989225C2211yescharacteristic, complemented
54#17989224—21no—
55D4×D292C2211yescharacteristic, complemented
56D4×C22⋊D73C2211yescharacteristic, complemented
57#17989210C2211yescharacteristic, complemented
58#17989210C2211yescharacteristic, complemented
59#17989210C2211yescharacteristic, complemented
60#17989190C2211yescharacteristic, complemented
61#17989181—21no—
62#17989176—21no—
63#17989176—21no—
64#17989172—21no—
65#17989138C2211yescharacteristic, complemented
66#17989124—21no—
67#17989119C2211yescharacteristic
68#17989116C2211yescharacteristic, complemented
69#124×D73—21no—
70#17989097—21no—
71C2×#14556573—21no—
72#17989070C2211yescharacteristic, complemented
73#17989062C2211yescharacteristic, complemented
74#17989061C2211yescharacteristic, complemented
75#17989061C2211yescharacteristic, complemented
76C4×#11924029C2211yescharacteristic, complemented
77C4×D4×D73C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic, complemented
83#17988972C2211yescharacteristic, complemented
84#17988952C2211yescharacteristic, complemented
85#17988948C2211yescharacteristic, complemented
86#17988948C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988927C2211yescharacteristic, complemented
90#17988925C2211yescharacteristic, complemented
91#17988915C2211yescharacteristic, complemented
92#17988912C2211yescharacteristic, complemented
93#17988911C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic, complemented
96#17988907C2211yescharacteristic, complemented
97#17988907C2211yescharacteristic, complemented
98#17988906C2211yescharacteristic, complemented
99#17988894C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic, complemented
101#17988888C2211yescharacteristic, complemented
102#17988886C2211yescharacteristic, complemented
103#17988876C2211yescharacteristic, complemented
104#17988875C2211yescharacteristic, complemented
105#17988875C2211yescharacteristic, complemented
106#17988874C2211yescharacteristic, complemented
107#17988870C2211yescharacteristic, complemented
108#17988866C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988840C2211yescharacteristic
111#17988839C2211yescharacteristic, complemented
112#17988839C2211yescharacteristic, complemented
113#17988838C2211yescharacteristic, complemented
114#17988836C2211yescharacteristic, complemented
115#17988836C2211yescharacteristic, complemented
116#17988835C2211yescharacteristic, complemented
117#17988823C2211yescharacteristic, complemented
118#17988818C2211yescharacteristic, complemented
119#17988818C2211yescharacteristic, complemented
120#17988811C2211yescharacteristic, complemented
121#17988805C2211yescharacteristic, complemented
122#17988805C2211yescharacteristic, complemented
123#17988804C2211yescharacteristic, complemented
124#17988804C2211yescharacteristic, complemented
125#17988804C2211yescharacteristic, complemented
126#17988799C2211yescharacteristic, complemented
127#17988783C2211yescharacteristic, complemented
128#17988782C2211yescharacteristic
129#17988781C2211yescharacteristic
130#17988781C2211yescharacteristic, complemented
131#17988748C2211yescharacteristic, complemented
132#17988737C2211yescharacteristic, complemented
133#17988732C2211yescharacteristic
134#17988731C2211yescharacteristic
135#17988723C2211yescharacteristic
136#17988723C2211yescharacteristic, complemented
137#17988722C2211yescharacteristic, complemented
138#17988722C2211yescharacteristic, complemented
139#17988721C2211yescharacteristic
140#17988720C2211yescharacteristic, complemented
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988700C2211yescharacteristic, complemented
144#17988698C2211yescharacteristic, complemented
145#17988698C2211yescharacteristic, complemented
146#17988697C2211yescharacteristic
147#17988696C2211yescharacteristic
148#17988696C2211yescharacteristic, complemented
149#17988696C2211yescharacteristic, complemented
150#17988696C2211yescharacteristic, complemented
151#17988696C2211yescharacteristic, complemented
152#17988696C2211yescharacteristic, complemented
153#17988694C2211yescharacteristic, complemented
154#17988690C2211yescharacteristic, complemented
155#17988690C2211yescharacteristic, complemented
156#17988688C2211yescharacteristic, complemented
157#17988685C2211yescharacteristic, complemented
158SD16×Dic73C2211yescharacteristic, complemented
159#17988672C2211yescharacteristic, complemented
160#17988672C2211yescharacteristic, complemented
161#17988672C2211yescharacteristic, complemented
162#17988672C2211yescharacteristic, complemented
163#17988669C2211yescharacteristic, complemented
164#17988667C2211yescharacteristic
165#17988667C2211yescharacteristic
166#17988667C2211yescharacteristic, complemented
167#17988667C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic, complemented
170#17988663C2211yescharacteristic, complemented
171#17988662C2211yescharacteristic, complemented
172#17988659C2211yescharacteristic, complemented
173#17988658C2211yescharacteristic, complemented
174#17988655C2211yescharacteristic, complemented
175#17988645C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988643C2211yescharacteristic, complemented
178#17988630C2211yescharacteristic, complemented
179#17988628C2211yescharacteristic, complemented
180#17988623C2211yescharacteristic, complemented
181#17988593C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic, complemented
183#17988587C2211yescharacteristic, complemented
184C2×#14556513C2211yescharacteristic, complemented
185#17988545C2211yescharacteristic, complemented
186#17988542C2211yescharacteristic, complemented
187#17988539C2211yescharacteristic, complemented
188#556×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924027—21no—
206C2×Q8×D73—21no—
207C22×D292C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C22×C22⋊D73—21no—
210C2×D4×D73—21no—
211C2×D4×D73C2311yescharacteristic
212C22×C4×D73—21no—
213#14556618—24no—
214#14556616—24no—
215C2×#11924015C2311yescharacteristic
216C2×#11924015C2311yescharacteristic
217C2×#11924015C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×D584C2311yescharacteristic
220C2×D584C2311yescharacteristic
221C2×D584C2311yescharacteristic
222C2×#11924013—24no—
223C2×#11924013C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924012C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C2×#11924011C2311yescharacteristic
232C22×#10596831C2311yescharacteristic
233#14556590C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556590C2311yescharacteristic
236#14556588C2311yescharacteristic
237#14556587C2311yescharacteristic
238#14556586—21no—
239#14556586—21no—
240#14556586—21no—
241#14556586—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584D411yescharacteristic
245#14556584D411yescharacteristic
246#14556583C2311yescharacteristic
247#14556582D411yescharacteristic
248#14556582C2311yescharacteristic
249#14556581—21no—
250#14556580—21no—
251#14556580C2311yescharacteristic
252#14556580C2311yescharacteristic
253#14556580C2311yescharacteristic
254#14556579—21no—
255#14556579—21no—
256#14556579—21no—
257#14556578D411yescharacteristic
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556575—21no—
269#14556575—21no—
270#14556574—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573D411yescharacteristic
281#14556573D411yescharacteristic
282#14556572—21no—
283#14556571—21no—
284#14556571—21no—
285#14556571—21no—
286#14556571D411yescharacteristic
287#14556570—21no—
288#14556569—21no—
289#14556569—21no—
290#14556568—21no—
291#14556568—21no—
292#14556568—21no—
293#14556567—21no—
294#14556567C2311yescharacteristic
295#14556566—21no—
296#14556566—21no—
297#14556566—21no—
298#14556566—21no—
299#14556566C2311yescharacteristic
300#14556566C2311yescharacteristic
301#14556565C2311yescharacteristic
302#14556565C2311yescharacteristic
303#14556565C2311yescharacteristic
304#14556565C2311yescharacteristic
305#14556564—21no—
306#14556564—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556562—21no—
312#14556562D411yescharacteristic
313#14556562C2311yescharacteristic
314#14556561—21no—
315#14556561—21no—
316#14556561—21no—
317#14556561—21no—
318#14556560—21no—
319#14556559—21no—
320#14556559—21no—
321Q8×Dic73C2311yescharacteristic
322Q8×Dic73C2311yescharacteristic
323Q8×Dic73C2311yescharacteristic
324C4×Dic146C2311yescharacteristic
325C4×D292—21no—
326C4×D292—21no—
327C4×D292—21no—
328C4×D292—21no—
329C4×D292—21no—
330C4×D292—21no—
331C4×D292C2311yescharacteristic
332C4×D292C2311yescharacteristic
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73—21no—
336D4×Dic73—21no—
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342#14556553—21no—
343#14556553—21no—
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352C4×C22⋊D73—21no—
353C4×C22⋊D73C2311yescharacteristic
354C4×C22⋊D73C2311yescharacteristic
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556550—21no—
360#14556550C2311yescharacteristic
361#14556550C2311yescharacteristic
362#14556550C2311yescharacteristic
363#14556549—21no—
364#14556549—21no—
365#14556549C2311yescharacteristic
366#14556548—21no—
367#14556548—21no—
368#14556547—21no—
369C2×C4⋊Dic73—21no—
370C2×C4⋊Dic73C2311yescharacteristic
371C2×#11924007—21no—
372C4⋊C4×D73C2311yescharacteristic
373C2×C22⋊Dic73—21no—
374C2×C22⋊Dic73—21no—
375C2×#11924005—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C22×D4×C73C2311yescharacteristic
440C2×Q16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×M16×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446#126×C73—21no—
447#126×C73—21no—
448#124×C73—21no—
449#124×C73C2311yescharacteristic
450#123×C73—21no—
451C22⋊Q8×C73C2311yescharacteristic
452C22⋊Q8×C73C2311yescharacteristic
453C22⋊Q8×C73C2311yescharacteristic
454#121×C73—21no—
455#121×C73C2311yescharacteristic
456#120×C73—21no—
457C4×Q8×C73—21no—
458C4×Q8×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461#117×C73C2311yescharacteristic
462#117×C73C2311yescharacteristic
463C2×C22⋊C4×C73—21no—
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924029—22no—
485#11924029—41no—
486#11924029—82no—
487#11924027—82no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146C2×D411yescharacteristic
492Q8×D73—82no—
493C2×D292—22no—
494C2×D292—22no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—41no—
503C2×D292—41no—
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×D292C2411yescharacteristic
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—82no—
517C2×C22⋊D73C2×D411yescharacteristic
518C2×C22⋊D73C2×D411yescharacteristic
519D4×D73—22no—
520D4×D73—41no—
521D4×D73—82no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
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×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—82no—
541C2×C4×D73C2×D411yescharacteristic
542C2×C4×D73C2×D411yescharacteristic
543C2×C4×D73C2411yescharacteristic
544#11924015—22no—
545#11924015—22no—
546#11924015—22no—
547#11924015—41no—
548D584—22no—
549D584—41no—
550D584—41no—
551#11924013—22no—
552#11924013—22no—
553#11924013—22no—
554#11924013—22no—
555#11924013—41no—
556#11924013#4114yescomplemented
557#11924012—22no—
558#11924011—22no—
559#11924011—41no—
560C2×#10596831—22no—
561C2×#10596831C2411yescharacteristic
562C2×#10596831C2411yescharacteristic
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73C2×D411yescharacteristic
571C4⋊Dic73C2×D411yescharacteristic
572C4⋊Dic73C2×D411yescharacteristic
573C4⋊Dic73C2×D411yescharacteristic
574C4⋊Dic73C2×D411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73C2×D411yescharacteristic
599C22⋊Dic73C2×D411yescharacteristic
600C22⋊Dic73C2×D411yescharacteristic
601C22⋊Dic73C2×D411yescharacteristic
602C22⋊Dic73C2×D411yescharacteristic
603C22⋊Dic73C2×D411yescharacteristic
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
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#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C4×Dic73C2411yescharacteristic
640C24×C73—21no—
641#41×C73—22no—
642#41×C73—41no—
643C2×Q8×C73—21no—
644C2×Q8×C73C2411yescharacteristic
645C2×Q8×C73C2411yescharacteristic
646C2×D4×C73—22no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—41no—
651C2×D4×C73C2×D411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C2×D4×C73C2411yescharacteristic
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73C2411yescharacteristic
657C22×C4×C73C2411yescharacteristic
658Q16×C73—41no—
659SD16×C73—22no—
660SD16×C73—41no—
661M16×C73—41no—
662C2×C8×C73—41no—
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73C2×D411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73C2×D411yescharacteristic
687C22⋊C4×C73C2×D411yescharacteristic
688C42×C73—21no—
689C42×C73—21no—
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—42no—
695C23×C73—81no—
696C23×C73—81no—
697C23×C73C22×D411yescharacteristic
698C23×C73C22×D411yescharacteristic
699C22×D73—21no—
700C22×D73—21no—
701C22×D73—21no—
702C22×D73—21no—
703C22×D73—42no—
704C22×D73—42no—
705C22×D73—42no—
706C22×D73—42no—
707C22×D73—81no—
708C22×D73—81no—
709C22×D73—81no—
710C22×D73—81no—
711C22×D73—81no—
712C22×D73C22×D411yescharacteristic
713Q8×C73—21no—
714Q8×C73—21no—
715Q8×C73—21no—
716Q8×C73—21no—
717Q8×C73—42no—
718D4×C73—21no—
719D4×C73—21no—
720D4×C73—21no—
721D4×C73—41no—
722D4×C73—42no—
723D4×C73—42no—
724D4×C73—81no—
725D4×C73C2×#4112yes—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—42no—
737C2×C4×C73—81no—
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C2511yescharacteristic
743C22⋊D73—41no—
744C22⋊D73—41no—
745C22⋊D73—42no—
746C22⋊D73—42no—
747C22⋊D73—81no—
748C22⋊D73—81no—
749C22⋊D73—81no—
750C22⋊D73—81no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—81no—
758C2×Dic73—81no—
759C2×Dic73—81no—
760C2×Dic73—81no—
761C2×Dic73—81no—
762C2×Dic73—81no—
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770D292—21no—
771D292—21no—
772D292—21no—
773D292—21no—
774D292—21no—
775D292—21no—
776D292—21no—
777D292—42no—
778D292—42no—
779D292—42no—
780D292—42no—
781D292—81no—
782D292—81no—
783D292—81no—
784D292C2×#4112yes—
785C4×D73—21no—
786C4×D73—21no—
787C4×D73—41no—
788C4×D73—41no—
789C4×D73—42no—
790C4×D73—42no—
791C4×D73—42no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799C4×D73—81no—
800C4×D73—81no—
801Dic146—41no—
802Dic146—81no—
803Dic146—81no—
804Dic146—81no—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73—21no—
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831C2×#4112yes—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—21no—
816C22×C73—21no—
817C22×C73—22no—
818C22×C73—21no—
819C22×C73—21no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—162no—
826C22×C73C23×D411yescharacteristic
827C2×D73—21no—
828C2×D73—21no—
829C2×D73—21no—
830C2×D73—22no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—84no—
843C2×D73—162no—
844C2×D73—162no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—21no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73—41no—
855C4×C73C22×#4111yescharacteristic
856C4×C73#58511yescharacteristic
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—21no—
861Dic73—21no—
862Dic73—21no—
863Dic73—21no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867Dic73—41no—
868#61505—731nomaximal, Sylow
869C2×C73—42no—
870C2×C73—41no—
871C2×C73—41no—
872C2×C73—81no—
873C2×C73D4×#4111yescharacteristic
874C2×C73#358511yescharacteristic
875C2×C73#358511yescharacteristic
876D73—41no—
877D73—42no—
878D73—81no—
879D73—81no—
880D73—81no—
881#3514—731no—
882#3513—731no—
883#3403—731no—
884#3384—731no—
885#3373—731no—
886#3370—731no—
887#3354—731no—
888#3350—731no—
889#3348—731no—
890#3325—731no—
891#3323—731no—
892#3319—731no—
893#3318—731no—
894#3311D7311yescharacteristic, complemented
895#3306—731no—
896#3273—731no—
897#3264—731no—
898#3264—731no—
899#3179—731no—
900#3173—731no—
901#3171—731no—
902#3125—731no—
903#3122—731no—
904#3118—731no—
905#3118—731no—
906#3111—731no—
907#3109—731no—
908#2967—731no—
909#2948—731no—
910#2946—731no—
911C4×AGL(1,ℤ/8)—731no—
912C73#6150511yescharacteristic, complemented, Sylow
913C2×AGL(1,ℤ/8)—731no—
914C2×AGL(1,ℤ/8)—731no—
915C22×D8—731no—
916#559—731no—
917#559—731no—
918#556C2×D7311yescharacteristic, complemented
919#555—731no—
920#555—731no—
921#554—731no—
922#553—731no—
923#553—1461no—
924#552—731no—
925#551—1461no—
926#551—1461no—
927#551—1461no—
928#551—1461no—
929D4×Q8—731no—
930#548—1461no—
931#547—731no—
932#546—731no—
933#546—731no—
934#546—731no—
935#546—1461no—
936#546—1461no—
937#546C2×D7311yescharacteristic
938D42—731no—
939D42—731no—
940#542—731no—
941#542—731no—
942#542—731no—
943#540—731no—
944#539—1461no—
945#538—1461no—
946#538—1461no—
947#538—1461no—
948#532—731no—
949#529—731no—
950#529—731no—
951#529—1461no—
952C2×#124—1461no—
953#525—1461no—
954C2×#123—1461no—
955#520—731no—
956#518—731no—
957#518—731no—
958#518—731no—
959C4×#41—731no—
960C2×C4×D4—731no—
961#501—731no—
962#501—731no—
963#498—731no—
964#496—731no—
965#496—731no—
966#495—731no—
967#490—731no—
968#489—731no—
969#489—731no—
970#489C2×D7311yescharacteristic, complemented
971#488—731no—
972#486—731no—
973#485—731no—
974#485—731no—
975#485C2×D7311yescharacteristic, complemented
976#483—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482—731no—
981#482C2×D7311yescharacteristic, complemented
982#481—731no—
983#481—731no—
984#481—731no—
985#479—731no—
986#478—731no—
987#478—731no—
988#478—731no—
989#476—731no—
990#476—731no—
991#476—731no—
992#476—731no—
993#476C2×D7311yescharacteristic, complemented
994#475—731no—
995#474—731no—
996#474—731no—
997#470C2×D7311yescharacteristic, complemented
998#469—731no—
999#469—731no—
1000#469—731no—
1001#469—731no—
1002#468—731no—
1003#468—731no—
1004#468—731no—
1005#466—731no—
1006#465—731no—
1007#465—731no—
1008#465C2×D7311yescharacteristic, complemented
1009#464—731no—
1010#464C2×D7311yescharacteristic, complemented
1011#463—731no—
1012#463—731no—
1013#463—731no—
1014#463—731no—
1015#463—731no—
1016#463—731no—
1017#459—731no—
1018#459—731no—
1019#459—731no—
1020#459—731no—
1021#452—731no—
1022#452C2×D7311yescharacteristic, complemented
1023#450—731no—
1024#450C2×D7311yescharacteristic, complemented
1025#449—731no—
1026#449—731no—
1027#447—731no—
1028#447—731no—
1029#447—731no—
1030#447—731no—
1031#447—731no—
1032#447—731no—
1033#446—731no—
1034#446—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#442—731no—
1040#442—731no—
1041#442—731no—
1042#442—731no—
1043#442—731no—
1044#442—731no—
1045#441—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440—731no—
1050#440C2×D7311yescharacteristic, complemented
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16—731no—
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×D8—731no—
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061C4×D8—731no—
1062C4×D8—731no—
1063#436—731no—
1064#436—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#435C2×D7311yescharacteristic, complemented
1069#433—731no—
1070#433—731no—
1071#432—731no—
1072#428—731no—
1073#428—731no—
1074#427—731no—
1075#418—731no—
1076#418—731no—
1077#418C2×D7311yescharacteristic, complemented
1078#417—731no—
1079#416C2×D7311yescharacteristic, complemented
1080C2×#102—731no—
1081#405—731no—
1082#405—731no—
1083C4×M16—731no—
1084C2×#41—731no—
1085C2×#41—1461no—
1086C2×#41—1461no—
1087C2×#41C22×D7311yescharacteristic
1088C22×Q8—1461no—
1089C22×D4—731no—
1090C22×D4—731no—
1091C22×D4—731no—
1092C22×D4—1461no—
1093C22×D4—1461no—
1094C22×D4C22×D7311yescharacteristic
1095C23×C4—1461no—
1096AGL(1,ℤ/8)—1464no—
1097AGL(1,ℤ/8)—1464no—
1098C2×Q16C22×D7311yescharacteristic
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—731no—
1103C2×SD16C22×D7311yescharacteristic
1104C2×SD16C22×D7311yescharacteristic
1105C2×D8—731no—
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8—731no—
1111C2×D8—731no—
1112C2×D8—731no—
1113C2×D8—731no—
1114C2×D8—1464no—
1115C2×M16—731no—
1116C2×M16—731no—
1117C2×M16—731no—
1118C2×M16C22×D7311yescharacteristic
1119C22×C8—731no—
1120C22×C8C22×D7311yescharacteristic
1121C4⋊Q8—731no—
1122C4⋊Q8—731no—
1123C4⋊Q8—731no—
1124C4⋊Q8C22×D7311yescharacteristic
1125#127—731no—
1126#127—731no—
1127#126—21no—
1128#126—21no—
1129#126—731no—
1130#126—731no—
1131#126—1461no—
1132#126—1461no—
1133#126—1461no—
1134#126—1461no—
1135#126—1461no—
1136#126—1461no—
1137#125—731no—
1138#125—731no—
1139#125—731no—
1140#125—1461no—
1141#124—21no—
1142#124—731no—
1143#124—731no—
1144#124—731no—
1145#124—731no—
1146#124—1461no—
1147#124—1461no—
1148#124—1461no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124—1461no—
1156#124C22×D7311yescharacteristic
1157#123—21no—
1158#123—731no—
1159#123—731no—
1160#123—1461no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172#123—1461no—
1173#123—1461no—
1174#123—1461no—
1175#123—1461no—
1176#123—1461no—
1177C22⋊Q8—731no—
1178C22⋊Q8—731no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181C22⋊Q8—1461no—
1182C22⋊Q8—1461no—
1183C22⋊Q8—1461no—
1184C22⋊Q8—1461no—
1185C22⋊Q8—1461no—
1186C22⋊Q8—1461no—
1187C22⋊Q8—1461no—
1188C22⋊Q8—1461no—
1189C22⋊Q8C22×D7311yescharacteristic
1190C22⋊Q8C22×D7311yescharacteristic
1191C22⋊Q8C22×D7311yescharacteristic
1192#121—21no—
1193#121—731no—
1194#121—731no—
1195#121—731no—
1196#121—731no—
1197#121—731no—
1198#121—731no—
1199#121—731no—
1200#121—731no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121C22×D7311yescharacteristic
1213#120—21no—
1214#120—1461no—
1215#120—1461no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219#120—1461no—
1220#120—1461no—
1221C4×Q8—21no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8C22×D7311yescharacteristic
1227C4×D4—731no—
1228C4×D4—731no—
1229C4×D4—731no—
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4C22×D7311yescharacteristic
1262C4×D4C22×D7311yescharacteristic
1263#117—731no—
1264#117—731no—
1265#117—731no—
1266#117—731no—
1267#117—1461no—
1268#117—1461no—
1269#117—1461no—
1270#117—1461no—
1271#117—1461no—
1272#117—1461no—
1273#117C22×D7311yescharacteristic
1274#117C22×D7311yescharacteristic
1275C2×C4⋊C4—731no—
1276C2×C4⋊C4—731no—
1277C2×C4⋊C4—1461no—
1278C2×C4⋊C4—1461no—
1279C2×C22⋊C4—21no—
1280C2×C22⋊C4—1461no—
1281C2×C22⋊C4—1461no—
1282C2×C22⋊C4—1461no—
1283C2×C22⋊C4—1461no—
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C22⋊C4—1461no—
1290C2×C42—731no—
1291C2×C42—1461no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107—731no—
1297#107C22×D7311yescharacteristic
1298#106—731no—
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106—731no—
1306#106C22×D7311yescharacteristic
1307#106C22×D7311yescharacteristic
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313C4⋊C8C22×D7311yescharacteristic
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103C22×D7311yescharacteristic
1319#103C22×D7311yescharacteristic
1320#103C22×D7311yescharacteristic
1321#103C22×D7311yescharacteristic
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102C22×D7311yescharacteristic
1341#102C22×D7311yescharacteristic
1342#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344#102C22×D7311yescharacteristic
1345#102C22×D7311yescharacteristic
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8—731no—
1350C22⋊C8C22×D7311yescharacteristic
1351C22⋊C8C22×D7311yescharacteristic
1352#97—731no—
1353#97—731no—
1354#97—731no—
1355#97—731no—
1356#97—731no—
1357#97C22×D7311yescharacteristic
1358C4×C8—731no—
1359C4×C8—731no—
1360C4×C8—731no—
1361C4×C8—731no—
1362C24—21no—
1363C24—1461no—
1364C24—1461no—
1365C24—1461no—
1366#41—22no—
1367#41—41no—
1368#41—2921no—
1369#41—5842no—
1370#41—5842no—
1371#41—1462no—
1372C2×Q8—21no—
1373C2×Q8—5842no—
1374C2×Q8—731no—
1375C2×Q8—1461no—
1376C2×Q8—1461no—
1377C2×Q8—1461no—
1378C2×Q8C23×D7311yescharacteristic
1379C2×Q8C23×D7311yescharacteristic
1380C2×D4—22no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—41no—
1385C2×D4—2921no—
1386C2×D4—2921no—
1387C2×D4—2921no—
1388C2×D4—5842no—
1389C2×D4—5842no—
1390C2×D4—731no—
1391C2×D4—731no—
1392C2×D4—731no—
1393C2×D4—731no—
1394C2×D4—731no—
1395C2×D4—731no—
1396C2×D4—1461no—
1397C2×D4—1462no—
1398C2×D4—1462no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1462no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4D4×D7311yescharacteristic
1415C2×D4C23×D7311yescharacteristic
1416C2×D4C23×D7311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—5842no—
1420C22×C4—731no—
1421C22×C4—731no—
1422C22×C4—731no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4C23×D7311yescharacteristic
1442C22×C4C23×D7311yescharacteristic
1443Q16—41no—
1444SD16—22no—
1445SD16—41no—
1446SD16—2921no—
1447SD16—1462no—
1448SD16—1462no—
1449SD16—1462no—
1450D8—2921no—
1451D8—2921no—
1452D8—2921no—
1453D8—734no—
1454D8—1462no—
1455D8—1462no—
1456D8—1462no—
1457D8—1462no—
1458D8—1462no—
1459M16—41no—
1460M16—2921no—
1461M16—1462no—
1462M16—1462no—
1463C2×C8—41no—
1464C2×C8—731no—
1465C2×C8—731no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—1462no—
1469C2×C8C23×D7311yescharacteristic
1470C2×C8C23×D7311yescharacteristic
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—731no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4D4×D7311yescharacteristic
1505C4⋊C4C23×D7311yescharacteristic
1506C4⋊C4C23×D7311yescharacteristic
1507C4⋊C4C23×D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—731no—
1519C22⋊C4—731no—
1520C22⋊C4—731no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4D4×D7311yescharacteristic
1558C22⋊C4D4×D7311yescharacteristic
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—731no—
1563C42—731no—
1564C42—731no—
1565C42—731no—
1566C42—731no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42—1461no—
1571C42—1461no—
1572C42C23×D7311yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—42no—
1576C23—81no—
1577C23—81no—
1578C23—2922no—
1579C23—2922no—
1580C23—2922no—
1581C23—2922no—
1582C23—5841no—
1583C23—5841no—
1584C23—5841no—
1585C23—5841no—
1586C23—5841no—
1587C23—731no—
1588C23—1461no—
1589C23—1461no—
1590C23—1461no—
1591C23—1461no—
1592C23C2×D4×D7311yescharacteristic
1593C23C2×D4×D7311yescharacteristic
1594Q8—21no—
1595Q8—21no—
1596Q8—21no—
1597Q8—21no—
1598Q8—42no—
1599Q8—2921no—
1600Q8—5841no—
1601Q8—5841no—
1602Q8—5841no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—41no—
1607D4—42no—
1608D4—42no—
1609D4—81no—
1610D4—2922no—
1611D4—2922no—
1612D4—2922no—
1613D4—2922no—
1614D4—2922no—
1615D4—2922no—
1616D4—2921no—
1617D4—2921no—
1618D4—5841no—
1619D4—5841no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—5841no—
1626D4—5841no—
1627D4—732no—
1628D4—1461no—
1629D4—1461no—
1630D4—1461no—
1631D4—1461no—
1632D4—1461no—
1633D4—1461no—
1634D4—1461no—
1635D4#41×D7312yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—42no—
1647C2×C4—81no—
1648C2×C4—2922no—
1649C2×C4—2921no—
1650C2×C4—2921no—
1651C2×C4—2922no—
1652C2×C4—2922no—
1653C2×C4—5841no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—5841no—
1666C2×C4—5841no—
1667C2×C4—5841no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—731no—
1672C2×C4—731no—
1673C2×C4—731no—
1674C2×C4—731no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4—1461no—
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C2×D4×D7311yescharacteristic
1685C2×C4C24×D7311yescharacteristic
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—732no—
1691C8—1461no—
1692C8—1461no—
1693C8—1461no—
1694C22—21no—
1695C22—21no—
1696C22—22no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—162no—
1707C22—2921no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—2921no—
1714C22—2921no—
1715C22—2921no—
1716C22—2921no—
1717C22—2921no—
1718C22—5844no—
1719C22—11682no—
1720C22—11682no—
1721C22—1462no—
1722C22—1461no—
1723C22—1461no—
1724C22—1461no—
1725C22C22×D4×D7311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—2921no—
1737C4—2921no—
1738C4—2921no—
1739C4—2921no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4—1461no—
1744C4—1461no—
1745C4—1461no—
1746C4—1461no—
1747C4C2×#41×D7311yescharacteristic
1748C4#1798942211yescharacteristic
1749C2—41no—
1750C2—41no—
1751C2—42no—
1752C2—81no—
1753C2—2922no—
1754C2—2921no—
1755C2—5841no—
1756C2—5841no—
1757C2—5841no—
1758C2#2262341511yescharacteristic
1759C2#2262470811yescharacteristic
1760C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3311C2
socleC22×C73C23×D4
hypercenter#3311D73
hypocenterC73#61505
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3311

Complements

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

NH ≅ G/Ntype
1. #22623895C2semidirect
2. #22623860C2semidirect
3. #22623018C2semidirect
4. #22622825C2semidirect
5. #22622720C2semidirect
6. #22622685C2semidirect
7. #22622524C2semidirect
8. #22622476C2semidirect
9. #22622450C2semidirect
10. #22622169C2semidirect
11. #22622153C2semidirect
12. #22622083C2semidirect
13. #22622074C2semidirect
14. #22621898C2semidirect
15. #22621535C2semidirect
16. #22621415C2semidirect
17. #22621412C2semidirect
18. #22620609C2semidirect
19. #22620549C2semidirect
20. #22620529C2semidirect
21. #22620201C2semidirect
22. #22620170C2semidirect
23. #22620118C2semidirect
24. #22620116C2semidirect
25. #22620039C2semidirect
26. #22620024C2semidirect
27. #22618913C2semidirect
28. #22618779C2semidirect
29. #22618766C2semidirect
30. #22618736C2semidirect
31. C73×#3311C2semidirect
35. #17989322C22semidirect
36. #17989319C22semidirect
38. #17989300C22semidirect
39. #17989296C22semidirect
42. #17989271C22semidirect
47. #17989252C22semidirect
49. #17989237C22semidirect
52. #17989228C22semidirect
53. #17989225C22semidirect
55. D4×D292C22semidirect
56. D4×C22⋊D73C22semidirect
57. #17989210C22semidirect
58. #17989210C22semidirect
59. #17989210C22semidirect
60. #17989190C22semidirect
65. #17989138C22semidirect
68. #17989116C22semidirect
72. #17989070C22semidirect
73. #17989062C22semidirect
74. #17989061C22semidirect
75. #17989061C22semidirect
76. C4×#11924029C22semidirect
77. C4×D4×D73C22semidirect
78. #17988994C22semidirect
79. #17988993C22semidirect
80. #17988984C22semidirect
81. #17988977C22semidirect
82. #17988973C22semidirect
83. #17988972C22semidirect
84. #17988952C22semidirect
85. #17988948C22semidirect
86. #17988948C22semidirect
87. #17988943C22semidirect
88. #17988932C22semidirect
89. #17988927C22semidirect
90. #17988925C22semidirect
91. #17988915C22semidirect
92. #17988912C22semidirect
93. #17988911C22semidirect
94. #17988911C22semidirect
95. #17988910C22semidirect
96. #17988907C22semidirect
97. #17988907C22semidirect
98. #17988906C22semidirect
99. #17988894C22semidirect
100. #17988890C22semidirect
101. #17988888C22semidirect
102. #17988886C22semidirect
103. #17988876C22semidirect
104. #17988875C22semidirect
105. #17988875C22semidirect
106. #17988874C22semidirect
107. #17988870C22semidirect
108. #17988866C22semidirect
109. #17988865C22semidirect
111. #17988839C22semidirect
112. #17988839C22semidirect
113. #17988838C22semidirect
114. #17988836C22semidirect
115. #17988836C22semidirect
116. #17988835C22semidirect
117. #17988823C22semidirect
118. #17988818C22semidirect
119. #17988818C22semidirect
120. #17988811C22semidirect
121. #17988805C22semidirect
122. #17988805C22semidirect
123. #17988804C22semidirect
124. #17988804C22semidirect
125. #17988804C22semidirect
126. #17988799C22semidirect
127. #17988783C22semidirect
130. #17988781C22semidirect
131. #17988748C22semidirect
132. #17988737C22semidirect
136. #17988723C22semidirect
137. #17988722C22semidirect
138. #17988722C22semidirect
140. #17988720C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
143. #17988700C22semidirect
144. #17988698C22semidirect
145. #17988698C22semidirect
148. #17988696C22semidirect
149. #17988696C22semidirect
150. #17988696C22semidirect
151. #17988696C22semidirect
152. #17988696C22semidirect
153. #17988694C22semidirect
154. #17988690C22semidirect
155. #17988690C22semidirect
156. #17988688C22semidirect
157. #17988685C22semidirect
158. SD16×Dic73C22semidirect
159. #17988672C22semidirect
160. #17988672C22semidirect
161. #17988672C22semidirect
162. #17988672C22semidirect
163. #17988669C22semidirect
166. #17988667C22semidirect
167. #17988667C22semidirect
168. #17988667C22semidirect
169. #17988667C22semidirect
170. #17988663C22semidirect
171. #17988662C22semidirect
172. #17988659C22semidirect
173. #17988658C22semidirect
174. #17988655C22semidirect
175. #17988645C22semidirect
176. #17988645C22semidirect
177. #17988643C22semidirect
178. #17988630C22semidirect
179. #17988628C22semidirect
180. #17988623C22semidirect
181. #17988593C22semidirect
182. #17988590C22semidirect
183. #17988587C22semidirect
184. C2×#14556513C22semidirect
185. #17988545C22semidirect
186. #17988542C22semidirect
187. #17988539C22semidirect
188. #556×C73C22semidirect
190. #489×C73C22semidirect
191. #485×C73C22semidirect
192. #482×C73C22semidirect
193. #476×C73C22semidirect
194. #470×C73C22semidirect
195. #465×C73C22semidirect
196. #464×C73C22semidirect
197. #452×C73C22semidirect
198. #450×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #418×C73C22semidirect
202. #416×C73C22semidirect
556. #11924013#41semidirect
894. #3311D73semidirect
912. C73#61505semidirect
918. #556C2×D73semidirect
970. #489C2×D73semidirect
975. #485C2×D73semidirect
981. #482C2×D73semidirect
993. #476C2×D73semidirect
997. #470C2×D73semidirect
1008. #465C2×D73semidirect
1010. #464C2×D73semidirect
1022. #452C2×D73semidirect
1024. #450C2×D73semidirect
1050. #440C2×D73semidirect
1068. #435C2×D73semidirect
1077. #418C2×D73semidirect
1079. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238952
#226238602
#226230182
#226228252
#226227202
#226226852
#226225242
#226224762
#226224502
#226221692
#226221532
#226220832
#226220742
#226218982
#226215352
#226214152
#226214122
#226206092
#226205492
#226205292
#226202012
#226201702
#226201182
#226201162
#226200392
#226200242
#226189132
#226187792
#226187662
#226187362
C73×#33112
#6150573