Finite Group Databasebeta

← #33978933

Subgroups — #33978933

Order 18688.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623889C211yesmaximal, characteristic, complemented
2#22623496C211yesmaximal, characteristic, complemented
3#22623010C211yesmaximal, characteristic, complemented
4#22622993C211yesmaximal, characteristic, complemented
5#22622764C211yesmaximal, characteristic, complemented
6#22622682C211yesmaximal, characteristic, complemented
7#22622113C211yesmaximal, characteristic, complemented
8#22622085C211yesmaximal, characteristic, complemented
9#22621980C211yesmaximal, characteristic, complemented
10#22621948C211yesmaximal, characteristic, complemented
11#22621812C211yesmaximal, characteristic, complemented
12#22621643C211yesmaximal, characteristic, complemented
13#22621612C211yesmaximal, characteristic, complemented
14#22621479C211yesmaximal, characteristic, complemented
15#22621453C211yesmaximal, characteristic, complemented
16#22621438C211yesmaximal, characteristic, complemented
17#22621415C211yesmaximal, characteristic, complemented
18#22621331C211yesmaximal, characteristic, complemented
19#22621279C211yesmaximal, characteristic, complemented
20#22621263C211yesmaximal, characteristic, complemented
21#22620972C211yesmaximal, characteristic, complemented
22#22620931C211yesmaximal, characteristic, complemented
23#22620897C211yesmaximal, characteristic, complemented
24#22620072C211yesmaximal, characteristic, complemented
25#22620035C211yesmaximal, characteristic, complemented
26#22619947C211yesmaximal, characteristic, complemented
27#22619422C211yesmaximal, characteristic, complemented
28#22619384C211yesmaximal, characteristic, complemented
29C2×#17988801C211yesmaximal, characteristic, complemented
30#22619054C211yesmaximal, characteristic, complemented
31C73×#3296C211yesmaximal, characteristic, complemented
32C2×#14556623C2211yescharacteristic, complemented
33C2×#14556618C2211yescharacteristic
34C2×#14556613C2211yescharacteristic, complemented
35C2×#14556611C2211yescharacteristic, complemented
36C22×#11924017C2211yescharacteristic, complemented
37C22×#11924013C2211yescharacteristic
38#17989320C2211yescharacteristic, complemented
39#17989309C2211yescharacteristic, complemented
40#17989306C2211yescharacteristic, complemented
41#17989301—21no—
42#17989300C2211yescharacteristic, complemented
43#17989293C2211yescharacteristic, complemented
44#17989288—21no—
45#17989272C2211yescharacteristic
46#17989269—21no—
47#17989265—21no—
48#17989263—21no—
49#17989261—21no—
50#17989260—21no—
51#17989250C2211yescharacteristic
52#17989246C2211yescharacteristic
53#17989244C2211yescharacteristic, complemented
54#17989239C2211yescharacteristic, complemented
55#17989234C2211yescharacteristic, complemented
56#17989233C2211yescharacteristic, complemented
57#17989228C2211yescharacteristic
58#17989224—21no—
59D4×C22⋊D73C2211yescharacteristic
60#17989205—21no—
61#17989172—21no—
62#17989169—21no—
63#17989139C2211yescharacteristic, complemented
64#17989133C2211yescharacteristic, complemented
65#17989123C2211yescharacteristic
66#17989123C2211yescharacteristic, complemented
67#17989122—21no—
68#17989122C2211yescharacteristic, complemented
69#17989120—21no—
70#17989119C2211yescharacteristic, complemented
71#17989118C2211yescharacteristic, complemented
72C2×#14556578C2211yescharacteristic
73#124×D73C2211yescharacteristic, complemented
74#17989095—21no—
75#17989060—21no—
76C4×#11924029C2211yescharacteristic, complemented
77#17989055C2211yescharacteristic, complemented
78C4×#11924027C2211yescharacteristic
79C2×#14556553C2211yescharacteristic, complemented
80#117×D73—21no—
81#17988980C2211yescharacteristic, complemented
82#17988978C2211yescharacteristic, complemented
83#17988978C2211yescharacteristic, complemented
84#17988973C2211yescharacteristic
85#17988971C2211yescharacteristic, complemented
86#17988969C2211yescharacteristic
87#17988954C2211yescharacteristic, complemented
88#17988950C2211yescharacteristic, complemented
89#17988945C2211yescharacteristic, complemented
90#17988945C2211yescharacteristic, complemented
91#17988944C2211yescharacteristic, complemented
92#17988931C2211yescharacteristic, complemented
93#17988928C2211yescharacteristic, complemented
94#17988910C2211yescharacteristic, complemented
95#17988900C2211yescharacteristic
96#17988897C2211yescharacteristic, complemented
97#17988893C2211yescharacteristic, complemented
98#17988892C2211yescharacteristic, complemented
99#17988891C2211yescharacteristic, complemented
100#17988889C2211yescharacteristic, complemented
101#17988886C2211yescharacteristic, complemented
102#17988886C2211yescharacteristic, complemented
103#17988870C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988846C2211yescharacteristic, complemented
106#17988839C2211yescharacteristic
107#17988834C2211yescharacteristic, complemented
108#17988832C2211yescharacteristic, complemented
109#17988826C2211yescharacteristic, complemented
110#17988826C2211yescharacteristic, complemented
111#17988821C2211yescharacteristic
112#17988818C2211yescharacteristic
113#17988816C2211yescharacteristic
114#17988816C2211yescharacteristic, complemented
115#17988812C2211yescharacteristic, complemented
116#17988812C2211yescharacteristic, complemented
117#17988811C2211yescharacteristic, complemented
118#17988810C2211yescharacteristic, complemented
119#17988809C2211yescharacteristic, complemented
120#17988808C2211yescharacteristic, complemented
121#17988808C2211yescharacteristic, complemented
122#17988807C2211yescharacteristic, complemented
123#17988807C2211yescharacteristic, complemented
124#17988805C2211yescharacteristic, complemented
125#17988805C2211yescharacteristic, complemented
126#17988804C2211yescharacteristic
127#17988803C2211yescharacteristic, complemented
128#17988802C2211yescharacteristic, complemented
129#17988801C2211yescharacteristic
130#17988801C2211yescharacteristic
131#17988801C2211yescharacteristic
132#17988801C2211yescharacteristic
133#17988801C2211yescharacteristic, complemented
134#17988801C2211yescharacteristic, complemented
135#17988801C2211yescharacteristic, complemented
136#17988801C2211yescharacteristic, complemented
137#17988799C2211yescharacteristic
138#17988796C2211yescharacteristic, complemented
139#17988795C2211yescharacteristic, complemented
140#17988791C2211yescharacteristic, complemented
141#17988791C2211yescharacteristic, complemented
142#17988786C2211yescharacteristic, complemented
143#17988781C2211yescharacteristic
144#17988752C2211yescharacteristic, complemented
145#17988751C2211yescharacteristic, complemented
146#17988747C2211yescharacteristic, complemented
147#17988745C2211yescharacteristic, complemented
148#17988744C2211yescharacteristic, complemented
149#17988742C2211yescharacteristic, complemented
150#17988739C2211yescharacteristic, complemented
151#17988738C2211yescharacteristic
152#17988737C2211yescharacteristic, complemented
153#17988734C2211yescharacteristic, complemented
154#17988732C2211yescharacteristic, complemented
155#17988731C2211yescharacteristic
156#17988730C2211yescharacteristic
157#17988727C2211yescharacteristic, complemented
158#17988723C2211yescharacteristic
159#17988722C2211yescharacteristic
160#17988717C2211yescharacteristic, complemented
161#17988714C2211yescharacteristic, complemented
162#17988698C2211yescharacteristic, complemented
163#17988698C2211yescharacteristic, complemented
164#17988696C2211yescharacteristic
165#17988693C2211yescharacteristic, complemented
166#17988690C2211yescharacteristic, complemented
167#17988690C2211yescharacteristic, complemented
168#17988686C2211yescharacteristic, complemented
169#17988684C2211yescharacteristic, complemented
170C4×#11924018C2211yescharacteristic, complemented
171C4×#11924017C2211yescharacteristic, complemented
172C4×#11924013C2211yescharacteristic, complemented
173#17988658C2211yescharacteristic
174#17988658C2211yescharacteristic, complemented
175#17988655C2211yescharacteristic
176#17988655C2211yescharacteristic, complemented
177D4×#10596831C2211yescharacteristic, complemented
178#17988641C2211yescharacteristic, complemented
179#17988641C2211yescharacteristic, complemented
180#17988638C2211yescharacteristic, complemented
181#17988609C2211yescharacteristic, complemented
182C2×#14556520C2211yescharacteristic, complemented
183C2×#14556520C2211yescharacteristic, complemented
184#17988594C2211yescharacteristic, complemented
185#17988590C2211yescharacteristic, complemented
186#17988581C2211yescharacteristic, complemented
187C2×#14556514C2211yescharacteristic, complemented
188#552×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic
190#488×C73C2211yescharacteristic, complemented
191#483×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#467×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic
199C4×SD16×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924027D411yescharacteristic
207C22×Dic146C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C22×C22⋊D73—21no—
211C2×D4×D73C2311yescharacteristic
212C22×C4×D73—21no—
213#14556623—42no—
214#14556618—42no—
215#14556613—42no—
216#14556611—42no—
217C2×Dic292C2311yescharacteristic
218C2×Dic292C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924017—42no—
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×#11924015C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×D584C2311yescharacteristic
235C2×#11924013—42no—
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924011C2311yescharacteristic
241C2×#11924011C2311yescharacteristic
242C22×#10596831C2311yescharacteristic
243C22×#10596831C2311yescharacteristic
244#14556590—21no—
245#14556590C2311yescharacteristic
246#14556589C2311yescharacteristic
247#14556589C2311yescharacteristic
248#14556587C2311yescharacteristic
249#14556586—21no—
250#14556586—21no—
251#14556586—21no—
252#14556586—21no—
253#14556586—21no—
254#14556585—21no—
255#14556584—21no—
256#14556584—21no—
257#14556584—21no—
258#14556584—21no—
259#14556582C2311yescharacteristic
260#14556582C2311yescharacteristic
261#14556581—21no—
262#14556581—21no—
263#14556580C2311yescharacteristic
264#14556580C2311yescharacteristic
265#14556579—21no—
266#14556579C2311yescharacteristic
267#14556579C2311yescharacteristic
268#14556578—21no—
269#14556578—21no—
270#14556578—21no—
271#14556578C2311yescharacteristic
272#14556578C2311yescharacteristic
273#14556578C2311yescharacteristic
274#14556578C2311yescharacteristic
275#14556577—21no—
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556577—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556576—21no—
284#14556575—21no—
285#14556575—21no—
286#14556574—21no—
287#14556574—21no—
288#14556573—21no—
289#14556573—21no—
290#14556573—21no—
291#14556573—21no—
292#14556572—21no—
293#14556571—21no—
294#14556571C2311yescharacteristic
295#14556571C2311yescharacteristic
296#14556570—21no—
297#14556570C2311yescharacteristic
298#14556570C2311yescharacteristic
299#14556569—21no—
300#14556569—21no—
301#14556569—21no—
302#14556569—21no—
303#14556569—21no—
304#14556568—21no—
305#14556568—21no—
306#14556568—21no—
307#14556566—21no—
308#14556566C2311yescharacteristic
309#14556565C2311yescharacteristic
310#14556565C2311yescharacteristic
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556562—21no—
319#14556562—21no—
320#14556562C2311yescharacteristic
321#14556561—21no—
322#14556560—21no—
323#14556559—21no—
324#14556559—21no—
325#14556559—21no—
326Q8×Dic73C2311yescharacteristic
327Q8×Dic73C2311yescharacteristic
328C4×Dic146C2311yescharacteristic
329C4×Dic146C2311yescharacteristic
330#14556556—21no—
331#14556556D411yescharacteristic
332#14556556C2311yescharacteristic
333#14556556C2311yescharacteristic
334#14556556C2311yescharacteristic
335C4×D292—21no—
336C4×D292C2311yescharacteristic
337D4×Dic73—21no—
338D4×Dic73D411yescharacteristic
339D4×Dic73C2311yescharacteristic
340#14556553—21no—
341#14556553—21no—
342#14556553—21no—
343#14556553—21no—
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⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73C2311yescharacteristic
356C4×C22⋊D73C2311yescharacteristic
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551D411yescharacteristic
364#14556551D411yescharacteristic
365#14556550—21no—
366#14556550—21no—
367#14556549—21no—
368#14556549—21no—
369#14556549—21no—
370#14556549—21no—
371#14556549D411yescharacteristic
372#14556549C2311yescharacteristic
373#14556548—21no—
374#14556548—21no—
375#14556548—21no—
376#14556547—21no—
377#14556547—21no—
378#14556547—21no—
379#14556547D411yescharacteristic
380#14556547D411yescharacteristic
381C4⋊C4×D73—21no—
382C4⋊C4×D73—21no—
383C2×C22⋊Dic73—21no—
384C2×C22⋊Dic73—21no—
385C2×#11924005—21no—
386C22⋊C4×D73—21no—
387C22⋊C4×D73—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C2×C4×Dic73C2311yescharacteristic
392C2×C4×Dic73C2311yescharacteristic
393C42×D73—21no—
394C42×D73—21no—
395C42×D73C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556501C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439#14556501C2311yescharacteristic
440C4×#10596831C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C22×C8×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448#126×C73—21no—
449#125×C73—21no—
450#125×C73C2311yescharacteristic
451#124×C73C2311yescharacteristic
452#123×C73—21no—
453#123×C73—21no—
454C22⋊Q8×C73C2311yescharacteristic
455C22⋊Q8×C73C2311yescharacteristic
456C22⋊Q8×C73C2311yescharacteristic
457#121×C73—21no—
458#121×C73C2311yescharacteristic
459#120×C73—21no—
460C4×Q8×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463#117×C73—21no—
464#117×C73C2311yescharacteristic
465C2×C4⋊C4×C73C2311yescharacteristic
466C2×C22⋊C4×C73—21no—
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×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
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924029—22no—
487#11924029—41no—
488#11924028—22no—
489#11924028—41no—
490#11924028—41no—
491#11924028—41no—
492#11924027—42no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146—41no—
497C2×Dic146—41no—
498C2×Dic146C2×D411yescharacteristic
499C2×Dic146C2411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×Dic146C2411yescharacteristic
502Q8×D73—41no—
503Q8×D73—41no—
504C2×D292—22no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—41no—
509C2×D292C2411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×D292C2411yescharacteristic
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—44no—
521C2×C22⋊D73C2×D411yescharacteristic
522C2×C22⋊D73C2×D411yescharacteristic
523D4×D73—41no—
524D4×D73—41no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73C2×D411yescharacteristic
528C22×Dic73C2×D411yescharacteristic
529C22×Dic73C2×D411yescharacteristic
530C22×Dic73C2×D411yescharacteristic
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—21no—
541C2×C4×D73—21no—
542C2×C4×D73—44no—
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2411yescharacteristic
546Dic292—41no—
547Dic292—41no—
548#11924018—41no—
549#11924018—41no—
550#11924018—41no—
551#11924017—22no—
552#11924017—22no—
553#11924017—41no—
554#11924017—41no—
555#11924017—41no—
556#11924016—41no—
557#11924016—41no—
558#11924015—22no—
559#11924015—41no—
560#11924015—41no—
561D584—22no—
562D584—41no—
563#11924013—22no—
564#11924013—22no—
565#11924013—41no—
566#11924013—41no—
567#11924011—41no—
568#11924011—41no—
569C2×#10596831—41no—
570C2×#10596831—41no—
571C2×#10596831C2411yescharacteristic
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C2×#10596831C2411yescharacteristic
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73C2×D411yescharacteristic
582C4⋊Dic73C2411yescharacteristic
583C4⋊Dic73C2411yescharacteristic
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
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#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73C2×D411yescharacteristic
614C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005C2×D411yescharacteristic
637#11924005C2×D411yescharacteristic
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2411yescharacteristic
652C4×Dic73C2411yescharacteristic
653C4×Dic73C2411yescharacteristic
654C24×C73—21no—
655#41×C73—41no—
656#41×C73—41no—
657C2×Q8×C73C2411yescharacteristic
658C2×Q8×C73C2411yescharacteristic
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—41no—
663C2×D4×C73—41no—
664C2×D4×C73C2×D411yescharacteristic
665C2×D4×C73C2411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73C2411yescharacteristic
671C22×C4×C73C2411yescharacteristic
672Q16×C73—41no—
673SD16×C73—41no—
674SD16×C73—41no—
675C2×C8×C73—41no—
676C2×C8×C73—41no—
677C2×C8×C73C2411yescharacteristic
678C2×C8×C73C2411yescharacteristic
679C2×C8×C73C2411yescharacteristic
680C2×C8×C73C2411yescharacteristic
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73C2×D411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
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×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73C2×D411yescharacteristic
702C22⋊C4×C73C2×D411yescharacteristic
703C42×C73—21no—
704C42×C73—21no—
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—42no—
709C23×C73—81no—
710C23×C73—81no—
711C23×C73C22×D411yescharacteristic
712C23×C73C22×D411yescharacteristic
713C22×D73—21no—
714C22×D73—21no—
715C22×D73—21no—
716C22×D73—42no—
717C22×D73—42no—
718C22×D73—42no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727D4×C73—22no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—81no—
733D4×C73—81no—
734D4×C73—81no—
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—81no—
747C2×C4×C73—81no—
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C2511yescharacteristic
753C22⋊D73—22no—
754C22⋊D73—41no—
755C22⋊D73—42no—
756C22⋊D73—42no—
757C22⋊D73—42no—
758C22⋊D73—42no—
759C22⋊D73—81no—
760C22⋊D73—81no—
761C22⋊D73—81no—
762C22⋊D73—81no—
763C2×Dic73—22no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—41no—
770C2×Dic73—41no—
771C2×Dic73—41no—
772C2×Dic73—42no—
773C2×Dic73—81no—
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776C2×Dic73C22×D411yescharacteristic
777C2×Dic73C22×D411yescharacteristic
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781D292—21no—
782D292—21no—
783D292—21no—
784D292—21no—
785D292—21no—
786D292—42no—
787D292—42no—
788D292—81no—
789D292H(5,𝔽2)12yes—
790C4×D73—21no—
791C4×D73—21no—
792C4×D73—41no—
793C4×D73—41no—
794C4×D73—42no—
795C4×D73—42no—
796C4×D73—42no—
797C4×D73—42no—
798C4×D73—42no—
799C4×D73—42no—
800C4×D73—81no—
801C4×D73—81no—
802C4×D73—81no—
803C4×D73—81no—
804C4×D73—81no—
805Dic146—21no—
806Dic146—21no—
807Dic146—21no—
808Dic146—21no—
809Dic146—21no—
810Dic146—21no—
811Dic146—41no—
812Dic146—81no—
813Dic146—81no—
814Dic146—81no—
815C8×C73—21no—
816C8×C73—21no—
817C8×C73—21no—
818C8×C73—21no—
819#10596831—21no—
820#10596831—21no—
821#10596831—21no—
822#10596831—21no—
823C22×C73—21no—
824C22×C73—21no—
825C22×C73—21no—
826C22×C73—21no—
827C22×C73—21no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—162no—
835C22×C73#57512yes—
836C22×C73C23×D411yescharacteristic
837C2×D73—21no—
838C2×D73—21no—
839C2×D73—22no—
840C2×D73—21no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—84no—
850C2×D73—162no—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—41no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73—41no—
861C4×C73C2×H(5,𝔽2)11yescharacteristic
862C4×C73#58511yescharacteristic
863Dic73—21no—
864Dic73—21no—
865Dic73—21no—
866Dic73—21no—
867Dic73—21no—
868Dic73—21no—
869Dic73—21no—
870Dic73—41no—
871Dic73—41no—
872Dic73—41no—
873Dic73—41no—
874Dic73—41no—
875#61990—731nomaximal, Sylow
876C2×C73—22no—
877C2×C73—41no—
878C2×C73—81no—
879C2×C73—81no—
880C2×C73#348811yescharacteristic
881C2×C73C2×#57511yescharacteristic
882C2×C73#358411yescharacteristic
883D73—41no—
884D73—42no—
885D73—81no—
886D73—81no—
887#3514—731no—
888#3475—731no—
889#3402—731no—
890#3401—731no—
891#3376—731no—
892#3370—731no—
893#3321—731no—
894#3319—731no—
895#3312—731no—
896#3310—731no—
897#3300—731no—
898#3296D7311yescharacteristic, complemented
899#3282—731no—
900#3280—731no—
901#3269—731no—
902#3267—731no—
903#3266—731no—
904#3264—731no—
905#3256—731no—
906#3250—731no—
907#3248—731no—
908#3219—731no—
909#3215—731no—
910#3211—731no—
911#3114—731no—
912#3111—731no—
913#3102—731no—
914#3040—731no—
915#3035—731no—
916C2×#463—731no—
917#2990—731no—
918C73#6199011yescharacteristic, complemented, Sylow
919C2×#137—731no—
920C2×AGL(1,ℤ/8)—731no—
921C2×#135—731no—
922C2×#135—731no—
923C22×SD16—731no—
924C22×D8—731no—
925#559—731no—
926#556—731no—
927#556—731no—
928#555—731no—
929#555—1461no—
930#554—731no—
931#553—1461no—
932#552—731no—
933#552—1461no—
934#552C2×D7311yescharacteristic, complemented
935#551—1461no—
936#551—1461no—
937#551—1461no—
938#551—1461no—
939D4×Q8—731no—
940#548—731no—
941#548—731no—
942#547—731no—
943#546—731no—
944#546—731no—
945#546—731no—
946#546—1461no—
947#546C2×D7311yescharacteristic
948D42—731no—
949#542—1461no—
950#538—1461no—
951#538—1461no—
952#533—731no—
953#532—731no—
954#529—731no—
955#529—731no—
956#529—731no—
957#529—731no—
958#529—731no—
959#529—1461no—
960#529—1461no—
961C2×#124—731no—
962C2×#124—731no—
963#525—1461no—
964#518—1461no—
965C4×#41—731no—
966C4×#41—731no—
967C4×#41—731no—
968C2×C4×D4—731no—
969C2×#117—1461no—
970#497—731no—
971#497—731no—
972#497—731no—
973#496—731no—
974#495—731no—
975#495—731no—
976#491—731no—
977#490—731no—
978#489—731no—
979#489—731no—
980#488—731no—
981#488C2×D7311yescharacteristic, complemented
982#485—731no—
983#485—731no—
984#483C2×D7311yescharacteristic, complemented
985#482—731no—
986#482C2×D7311yescharacteristic, complemented
987#480—731no—
988#479—731no—
989#479—731no—
990#479—731no—
991#479—731no—
992#478—731no—
993#478—731no—
994#478—731no—
995#478C2×D7311yescharacteristic, complemented
996#475—731no—
997#474—731no—
998#470—731no—
999#469—731no—
1000#468—731no—
1001#468—731no—
1002#467—731no—
1003#467—731no—
1004#467C2×D7311yescharacteristic, complemented
1005#466—731no—
1006#465—731no—
1007#465—731no—
1008#465—731no—
1009#465C2×D7311yescharacteristic, complemented
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#464—731no—
1015#464—731no—
1016#464—731no—
1017#464—731no—
1018#464—731no—
1019#464C2×D7311yescharacteristic, complemented
1020#463—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463—731no—
1033#463—731no—
1034#462—731no—
1035#462—731no—
1036#461—731no—
1037#461—731no—
1038#460—731no—
1039#459—731no—
1040#452—731no—
1041#452—731no—
1042#452—731no—
1043#452C2×D7311yescharacteristic, complemented
1044#451—731no—
1045#451—731no—
1046#451—731no—
1047#450—731no—
1048#450—731no—
1049#450—731no—
1050#450C2×D7311yescharacteristic
1051#449—731no—
1052#449—731no—
1053#449—731no—
1054#449—731no—
1055#448—731no—
1056#447—731no—
1057#447—731no—
1058#446—731no—
1059#446—731no—
1060#442—731no—
1061#442—731no—
1062#442—731no—
1063#441—731no—
1064#440—731no—
1065#440—731no—
1066#440—731no—
1067#440—731no—
1068C4×Q16—731no—
1069C4×SD16—731no—
1070C4×SD16C2×D7311yescharacteristic, complemented
1071C4×D8—731no—
1072#435—731no—
1073#435—731no—
1074#435—731no—
1075#435—731no—
1076C8×D4—731no—
1077C8×D4C2×D7311yescharacteristic, complemented
1078#432—731no—
1079#432—731no—
1080#431—731no—
1081#423—731no—
1082C2×C4⋊C8—731no—
1083C2×C4⋊C8—731no—
1084#419—731no—
1085#418—731no—
1086#416—731no—
1087#416C2×D7311yescharacteristic, complemented
1088C2×#103—731no—
1089C2×#102C2×D7311yescharacteristic
1090C2×#41—731no—
1091C2×#41—731no—
1092C2×#41—731no—
1093C2×#41—731no—
1094C2×#41C22×D7311yescharacteristic
1095C22×Q8—731no—
1096C22×Q8—731no—
1097C22×D4—731no—
1098C22×D4—731no—
1099C22×D4—1461no—
1100C22×D4C22×D7311yescharacteristic
1101C23×C4—1461no—
1102#137—2922no—
1103AGL(1,ℤ/8)—2922no—
1104#135—2922no—
1105#135—2922no—
1106C2×Q16—731no—
1107C2×Q16—731no—
1108C2×Q16—731no—
1109C2×Q16—731no—
1110C2×Q16—731no—
1111C2×Q16C22×D7311yescharacteristic
1112C2×SD16—2922no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16C22×D7311yescharacteristic
1124C2×SD16C22×D7311yescharacteristic
1125C2×D8—2922no—
1126C2×D8—731no—
1127C2×D8—731no—
1128C2×D8—731no—
1129C2×D8—731no—
1130C2×D8—731no—
1131C2×D8—731no—
1132C2×M16—731no—
1133C2×M16—731no—
1134C22×C8—731no—
1135C22×C8—731no—
1136C22×C8C22×D7311yescharacteristic
1137C22×C8C22×D7311yescharacteristic
1138C4⋊Q8—731no—
1139C4⋊Q8—731no—
1140C4⋊Q8—731no—
1141C4⋊Q8—1461no—
1142#127—731no—
1143#126—21no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#126—1461no—
1148#126—1461no—
1149#126—1461no—
1150#126—1461no—
1151#126—1461no—
1152#126—1461no—
1153#126—1461no—
1154#125—21no—
1155#125—731no—
1156#125—731no—
1157#125—1461no—
1158#125—1461no—
1159#125C22×D7311yescharacteristic
1160#124—731no—
1161#124—731no—
1162#124—731no—
1163#124—731no—
1164#124—731no—
1165#124—731no—
1166#124—731no—
1167#124—731no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#124—1461no—
1173#124—1461no—
1174#124—1461no—
1175#124—1461no—
1176#124—1461no—
1177#124C22×D7311yescharacteristic
1178#123—21no—
1179#123—21no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186#123—1461no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193C22⋊Q8—731no—
1194C22⋊Q8—731no—
1195C22⋊Q8—731no—
1196C22⋊Q8—731no—
1197C22⋊Q8—1461no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8—1461no—
1206C22⋊Q8—1461no—
1207C22⋊Q8C22×D7311yescharacteristic
1208C22⋊Q8C22×D7311yescharacteristic
1209C22⋊Q8C22×D7311yescharacteristic
1210#121—21no—
1211#121—731no—
1212#121—731no—
1213#121—731no—
1214#121—731no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121—1461no—
1225#121C22×D7311yescharacteristic
1226#120—21no—
1227#120—1461no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231#120—1461no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—731no—
1236C4×Q8—731no—
1237C4×Q8—731no—
1238C4×Q8—731no—
1239C4×Q8—731no—
1240C4×Q8—1461no—
1241C4×Q8C22×D7311yescharacteristic
1242C4×D4—731no—
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—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
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×D4C22×D7311yescharacteristic
1273C4×D4C22×D7311yescharacteristic
1274#117—21no—
1275#117—731no—
1276#117—731no—
1277#117—731no—
1278#117—731no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286#117—1461no—
1287#117—1461no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117C22×D7311yescharacteristic
1292C2×C4⋊C4—1461no—
1293C2×C4⋊C4—1461no—
1294C2×C4⋊C4C22×D7311yescharacteristic
1295C2×C22⋊C4—21no—
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C22⋊C4—1461no—
1299C2×C22⋊C4—1461no—
1300C2×C22⋊C4—1461no—
1301C2×C22⋊C4—1461no—
1302C2×C22⋊C4—1461no—
1303C2×C22⋊C4—1461no—
1304C2×C42—731no—
1305C2×C42—731no—
1306C2×C42—731no—
1307C2×C42—1461no—
1308C2×C42—1461no—
1309#107—731no—
1310#107—731no—
1311#107—731no—
1312#107C22×D7311yescharacteristic
1313#106—731no—
1314#106—731no—
1315#106C22×D7311yescharacteristic
1316#106C22×D7311yescharacteristic
1317C4⋊C8—731no—
1318C4⋊C8—731no—
1319C4⋊C8—731no—
1320C4⋊C8—731no—
1321C4⋊C8—731no—
1322C4⋊C8—731no—
1323C4⋊C8—731no—
1324C4⋊C8—731no—
1325C4⋊C8—731no—
1326C4⋊C8C22×D7311yescharacteristic
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103C22×D7311yescharacteristic
1340#103C22×D7311yescharacteristic
1341#103C22×D7311yescharacteristic
1342#103C22×D7311yescharacteristic
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
1357#102C22×D7311yescharacteristic
1358#102C22×D7311yescharacteristic
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8—731no—
1363C22⋊C8C22×D7311yescharacteristic
1364C22⋊C8C22×D7311yescharacteristic
1365#97—731no—
1366#97—731no—
1367#97—731no—
1368#97—731no—
1369C4×C8—731no—
1370C4×C8C22×D7311yescharacteristic
1371C24—21no—
1372C24—1461no—
1373C24—1461no—
1374#41—41no—
1375#41—41no—
1376#41—2921no—
1377#41—2921no—
1378#41—2921no—
1379#41—2922no—
1380#41—2921no—
1381#41—1462no—
1382#41—1462no—
1383C2×Q8—2921no—
1384C2×Q8—2921no—
1385C2×Q8—2921no—
1386C2×Q8—2921no—
1387C2×Q8—731no—
1388C2×Q8—731no—
1389C2×Q8—731no—
1390C2×Q8—731no—
1391C2×Q8—1461no—
1392C2×Q8—1461no—
1393C2×Q8—1461no—
1394C2×Q8C23×D7311yescharacteristic
1395C2×Q8C23×D7311yescharacteristic
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—2921no—
1402C2×D4—2924no—
1403C2×D4—2921no—
1404C2×D4—2921no—
1405C2×D4—731no—
1406C2×D4—731no—
1407C2×D4—731no—
1408C2×D4—731no—
1409C2×D4—731no—
1410C2×D4—1461no—
1411C2×D4—1462no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4D4×D7311yescharacteristic
1423C2×D4C23×D7311yescharacteristic
1424C2×D4C23×D7311yescharacteristic
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—2924no—
1429C22×C4—731no—
1430C22×C4—731no—
1431C22×C4—731no—
1432C22×C4—731no—
1433C22×C4—731no—
1434C22×C4—731no—
1435C22×C4—731no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4—1461no—
1445C22×C4—1461no—
1446C22×C4—1461no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4C23×D7311yescharacteristic
1450C22×C4C23×D7311yescharacteristic
1451Q16—41no—
1452Q16—2921no—
1453Q16—2921no—
1454Q16—2921no—
1455Q16—2921no—
1456Q16—2921no—
1457SD16—41no—
1458SD16—41no—
1459SD16—2921no—
1460SD16—2921no—
1461SD16—2921no—
1462SD16—2921no—
1463SD16—2921no—
1464SD16—2921no—
1465SD16—2921no—
1466SD16—1462no—
1467SD16—1462no—
1468SD16—1462no—
1469D8—2921no—
1470D8—2921no—
1471D8—2921no—
1472D8—1462no—
1473D8—1462no—
1474D8—1462no—
1475M16—2921no—
1476M16—2921no—
1477C2×C8—41no—
1478C2×C8—41no—
1479C2×C8—2921no—
1480C2×C8—2921no—
1481C2×C8—731no—
1482C2×C8—731no—
1483C2×C8—731no—
1484C2×C8—731no—
1485C2×C8C23×D7311yescharacteristic
1486C2×C8C23×D7311yescharacteristic
1487C2×C8C23×D7311yescharacteristic
1488C2×C8C23×D7311yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—731no—
1497C4⋊C4—731no—
1498C4⋊C4—731no—
1499C4⋊C4—731no—
1500C4⋊C4—731no—
1501C4⋊C4—731no—
1502C4⋊C4—731no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1523C4⋊C4C23×D7311yescharacteristic
1524C4⋊C4C23×D7311yescharacteristic
1525C4⋊C4C23×D7311yescharacteristic
1526C4⋊C4C23×D7311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—731no—
1536C22⋊C4—731no—
1537C22⋊C4—731no—
1538C22⋊C4—731no—
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⋊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⋊C4D4×D7311yescharacteristic
1573C22⋊C4D4×D7311yescharacteristic
1574C42—21no—
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—
1592C42C23×D7311yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—42no—
1596C23—81no—
1597C23—81no—
1598C23—2922no—
1599C23—2922no—
1600C23—2922no—
1601C23—5841no—
1602C23—5841no—
1603C23—5841no—
1604C23—731no—
1605C23—1461no—
1606C23—1461no—
1607C23—1461no—
1608C23C2×D4×D7311yescharacteristic
1609C23C2×D4×D7311yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—2921no—
1615Q8—5841no—
1616Q8—5841no—
1617Q8—5841no—
1618Q8—1461no—
1619Q8—1461no—
1620Q8—1461no—
1621Q8—1461no—
1622Q8—1461no—
1623Q8—1461no—
1624D4—22no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—2922no—
1633D4—2922no—
1634D4—2922no—
1635D4—2922no—
1636D4—2922no—
1637D4—2921no—
1638D4—2922no—
1639D4—5841no—
1640D4—5841no—
1641D4—5841no—
1642D4—5841no—
1643D4—5841no—
1644D4—732no—
1645D4—1462no—
1646D4—1461no—
1647D4—1461no—
1648D4—1461no—
1649D4—1461no—
1650D4—1461no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—42no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4—2922no—
1665C2×C4—2921no—
1666C2×C4—2921no—
1667C2×C4—2922no—
1668C2×C4—2922no—
1669C2×C4—2922no—
1670C2×C4—2922no—
1671C2×C4—2922no—
1672C2×C4—2922no—
1673C2×C4—2921no—
1674C2×C4—2921no—
1675C2×C4—2921no—
1676C2×C4—5841no—
1677C2×C4—5841no—
1678C2×C4—5841no—
1679C2×C4—5841no—
1680C2×C4—5841no—
1681C2×C4—5841no—
1682C2×C4—731no—
1683C2×C4—731no—
1684C2×C4—731no—
1685C2×C4—731no—
1686C2×C4—731no—
1687C2×C4—731no—
1688C2×C4—731no—
1689C2×C4—1461no—
1690C2×C4—1461no—
1691C2×C4—1461no—
1692C2×C4—1461no—
1693C2×C4—1461no—
1694C2×C4—1462no—
1695C2×C4—1461no—
1696C2×C4—1461no—
1697C2×C4C2×D4×D7311yescharacteristic
1698C2×C4C2×D4×D7311yescharacteristic
1699C2×C4C2×D4×D7311yescharacteristic
1700C2×C4C2×D4×D7311yescharacteristic
1701C2×C4C24×D7311yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1461no—
1707C8—1461no—
1708C8—1461no—
1709C8—1461no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—162no—
1722C22—2921no—
1723C22—2921no—
1724C22—2921no—
1725C22—2921no—
1726C22—2921no—
1727C22—2921no—
1728C22—2921no—
1729C22—2921no—
1730C22—5844no—
1731C22—11682no—
1732C22—1462no—
1733C22—1461no—
1734C22—1461no—
1735C22—1461no—
1736C22#1798938412yes—
1737C22C22×D4×D7311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—2921no—
1749C4—2921no—
1750C4—2921no—
1751C4—2921no—
1752C4—2921no—
1753C4—1461no—
1754C4—1461no—
1755C4—1461no—
1756C4—1461no—
1757C4—1461no—
1758C4—1461no—
1759C4—1461no—
1760C4H(5,𝔽2)×D7311yescharacteristic
1761C4#1798942311yescharacteristic
1762C2—22no—
1763C2—41no—
1764C2—81no—
1765C2—81no—
1766C2—2922no—
1767C2—2921no—
1768C2—5841no—
1769C2—5841no—
1770C2#2262359411yescharacteristic
1771C2C2×#1798938411yescharacteristic
1772C2#2262470311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3296C2
socleC22×C73C23×D4
hypercenter#3296D73
hypocenterC73#61990
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3296

Complements

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

NH ≅ G/Ntype
1. #22623889C2semidirect
2. #22623496C2semidirect
3. #22623010C2semidirect
4. #22622993C2semidirect
5. #22622764C2semidirect
6. #22622682C2semidirect
7. #22622113C2semidirect
8. #22622085C2semidirect
9. #22621980C2semidirect
10. #22621948C2semidirect
11. #22621812C2semidirect
12. #22621643C2semidirect
13. #22621612C2semidirect
14. #22621479C2semidirect
15. #22621453C2semidirect
16. #22621438C2semidirect
17. #22621415C2semidirect
18. #22621331C2semidirect
19. #22621279C2semidirect
20. #22621263C2semidirect
21. #22620972C2semidirect
22. #22620931C2semidirect
23. #22620897C2semidirect
24. #22620072C2semidirect
25. #22620035C2semidirect
26. #22619947C2semidirect
27. #22619422C2semidirect
28. #22619384C2semidirect
29. C2×#17988801C2semidirect
30. #22619054C2semidirect
31. C73×#3296C2semidirect
32. C2×#14556623C22semidirect
34. C2×#14556613C22semidirect
35. C2×#14556611C22semidirect
36. C22×#11924017C22semidirect
38. #17989320C22semidirect
39. #17989309C22semidirect
40. #17989306C22semidirect
42. #17989300C22semidirect
43. #17989293C22semidirect
53. #17989244C22semidirect
54. #17989239C22semidirect
55. #17989234C22semidirect
56. #17989233C22semidirect
63. #17989139C22semidirect
64. #17989133C22semidirect
66. #17989123C22semidirect
68. #17989122C22semidirect
70. #17989119C22semidirect
71. #17989118C22semidirect
73. #124×D73C22semidirect
76. C4×#11924029C22semidirect
77. #17989055C22semidirect
79. C2×#14556553C22semidirect
81. #17988980C22semidirect
82. #17988978C22semidirect
83. #17988978C22semidirect
85. #17988971C22semidirect
87. #17988954C22semidirect
88. #17988950C22semidirect
89. #17988945C22semidirect
90. #17988945C22semidirect
91. #17988944C22semidirect
92. #17988931C22semidirect
93. #17988928C22semidirect
94. #17988910C22semidirect
96. #17988897C22semidirect
97. #17988893C22semidirect
98. #17988892C22semidirect
99. #17988891C22semidirect
100. #17988889C22semidirect
101. #17988886C22semidirect
102. #17988886C22semidirect
103. #17988870C22semidirect
104. #17988866C22semidirect
105. #17988846C22semidirect
107. #17988834C22semidirect
108. #17988832C22semidirect
109. #17988826C22semidirect
110. #17988826C22semidirect
114. #17988816C22semidirect
115. #17988812C22semidirect
116. #17988812C22semidirect
117. #17988811C22semidirect
118. #17988810C22semidirect
119. #17988809C22semidirect
120. #17988808C22semidirect
121. #17988808C22semidirect
122. #17988807C22semidirect
123. #17988807C22semidirect
124. #17988805C22semidirect
125. #17988805C22semidirect
127. #17988803C22semidirect
128. #17988802C22semidirect
133. #17988801C22semidirect
134. #17988801C22semidirect
135. #17988801C22semidirect
136. #17988801C22semidirect
138. #17988796C22semidirect
139. #17988795C22semidirect
140. #17988791C22semidirect
141. #17988791C22semidirect
142. #17988786C22semidirect
144. #17988752C22semidirect
145. #17988751C22semidirect
146. #17988747C22semidirect
147. #17988745C22semidirect
148. #17988744C22semidirect
149. #17988742C22semidirect
150. #17988739C22semidirect
152. #17988737C22semidirect
153. #17988734C22semidirect
154. #17988732C22semidirect
157. #17988727C22semidirect
160. #17988717C22semidirect
161. #17988714C22semidirect
162. #17988698C22semidirect
163. #17988698C22semidirect
165. #17988693C22semidirect
166. #17988690C22semidirect
167. #17988690C22semidirect
168. #17988686C22semidirect
169. #17988684C22semidirect
170. C4×#11924018C22semidirect
171. C4×#11924017C22semidirect
172. C4×#11924013C22semidirect
174. #17988658C22semidirect
176. #17988655C22semidirect
177. D4×#10596831C22semidirect
178. #17988641C22semidirect
179. #17988641C22semidirect
180. #17988638C22semidirect
181. #17988609C22semidirect
182. C2×#14556520C22semidirect
183. C2×#14556520C22semidirect
184. #17988594C22semidirect
185. #17988590C22semidirect
186. #17988581C22semidirect
187. C2×#14556514C22semidirect
188. #552×C73C22semidirect
190. #488×C73C22semidirect
191. #483×C73C22semidirect
192. #482×C73C22semidirect
193. #478×C73C22semidirect
194. #467×C73C22semidirect
195. #465×C73C22semidirect
196. #464×C73C22semidirect
197. #452×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. C8×D4×C73C22semidirect
201. #416×C73C22semidirect
898. #3296D73semidirect
918. C73#61990semidirect
934. #552C2×D73semidirect
981. #488C2×D73semidirect
984. #483C2×D73semidirect
986. #482C2×D73semidirect
995. #478C2×D73semidirect
1004. #467C2×D73semidirect
1009. #465C2×D73semidirect
1019. #464C2×D73semidirect
1043. #452C2×D73semidirect
1070. C4×SD16C2×D73semidirect
1077. C8×D4C2×D73semidirect
1087. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238892
#226234962
#226230102
#226229932
#226227642
#226226822
#226221132
#226220852
#226219802
#226219482
#226218122
#226216432
#226216122
#226214792
#226214532
#226214382
#226214152
#226213312
#226212792
#226212632
#226209722
#226209312
#226208972
#226200722
#226200352
#226199472
#226194222
#226193842
C2×#179888012
#226190542
C73×#32962
#6199073