Finite Group Databasebeta

← #33979244

Subgroups — #33979244

Order 18688.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624256C211yesmaximal, characteristic, complemented
2#22623876C211yesmaximal, characteristic, complemented
3#22623020C211yesmaximal, characteristic, complemented
4#22622972C211yesmaximal, characteristic, complemented
5#22622682C211yesmaximal, characteristic, complemented
6#22622635C211yesmaximal, characteristic, complemented
7#22622073C211yesmaximal, characteristic, complemented
8#22621935C211yesmaximal, characteristic, complemented
9#22621888C211yesmaximal, characteristic, complemented
10#22621760C211yesmaximal, characteristic, complemented
11#22621742C211yesmaximal, characteristic, complemented
12#22621609C211yesmaximal, characteristic, complemented
13D4×#11924013C211yesmaximal, characteristic, complemented
14#22621478C211yesmaximal, characteristic, complemented
15#22621416C211yesmaximal, characteristic, complemented
16#22621415C211yesmaximal, characteristic, complemented
17#22621408C211yesmaximal, characteristic, complemented
18#22621369C211yesmaximal, characteristic, complemented
19#22621337C211yesmaximal, characteristic, complemented
20#22621279C211yesmaximal, characteristic, complemented
21#22621029C211yesmaximal, characteristic, complemented
22#22620982C211yesmaximal, characteristic, complemented
23#22620952C211yesmaximal, characteristic, complemented
24#22620170C211yesmaximal, characteristic, complemented
25#22620128C211yesmaximal, characteristic, complemented
26#22620066C211yesmaximal, characteristic, complemented
27#22619467C211yesmaximal, characteristic, complemented
28#22619433C211yesmaximal, characteristic, complemented
29C2×#17988781C211yesmaximal, characteristic, complemented
30#22619071C211yesmaximal, characteristic, complemented
31C73×#3310C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic, complemented
33C2×#14556618C2211yescharacteristic, complemented
34C2×#14556612C2211yescharacteristic, complemented
35C22×D584C2211yescharacteristic, complemented
36C22×#11924013C2211yescharacteristic, complemented
37C22×#11924013C2211yescharacteristic, complemented
38#17989326—21no—
39#17989325—21no—
40#17989322C2211yescharacteristic, complemented
41#17989320C2211yescharacteristic, complemented
42#17989293C2211yescharacteristic, complemented
43#17989290—21no—
44#17989281C2211yescharacteristic, complemented
45#17989262—21no—
46#17989261—21no—
47#17989257C2211yescharacteristic, complemented
48#17989255C2211yescharacteristic, complemented
49#17989238C2211yescharacteristic, complemented
50#17989233C2211yescharacteristic
51#17989231C2211yescharacteristic, complemented
52#17989229—21no—
53#17989228C2211yescharacteristic, complemented
54#17989228C2211yescharacteristic, complemented
55#17989224—21no—
56D4×D292C2211yescharacteristic, complemented
57#17989221C2211yescharacteristic, complemented
58D4×C22⋊D73—21no—
59D4×C22⋊D73C2211yescharacteristic, complemented
60#17989210C2211yescharacteristic, complemented
61#17989193C2211yescharacteristic, complemented
62#17989190C2211yescharacteristic, complemented
63#17989188C2211yescharacteristic, complemented
64#17989187—21no—
65#17989185—21no—
66#17989176—21no—
67#17989154C2211yescharacteristic, complemented
68#17989152—21no—
69#17989150C2211yescharacteristic, complemented
70#17989147—21no—
71#17989146—21no—
72C2×#14556587C2211yescharacteristic, complemented
73#17989123C2211yescharacteristic, complemented
74#17989118C2211yescharacteristic, complemented
75#17989117C2211yescharacteristic
76#17989099—21no—
77#123×D73—21no—
78#17989069C2211yescharacteristic, complemented
79#17989061C2211yescharacteristic, complemented
80C2×#14556553C2211yescharacteristic, complemented
81#17988976C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic, complemented
83#17988973C2211yescharacteristic, complemented
84#17988973C2211yescharacteristic, complemented
85#17988968C2211yescharacteristic, complemented
86#17988963C2211yescharacteristic, complemented
87#17988950C2211yescharacteristic, complemented
88#17988950C2211yescharacteristic, complemented
89#17988945C2211yescharacteristic, complemented
90#17988944C2211yescharacteristic, complemented
91#17988932C2211yescharacteristic, complemented
92#17988917C2211yescharacteristic, complemented
93#17988911C2211yescharacteristic, complemented
94#17988904C2211yescharacteristic, complemented
95#17988902C2211yescharacteristic, complemented
96#17988897C2211yescharacteristic, complemented
97#17988892C2211yescharacteristic, complemented
98#17988890C2211yescharacteristic, complemented
99#17988890C2211yescharacteristic, complemented
100#17988889C2211yescharacteristic, complemented
101#17988886C2211yescharacteristic, complemented
102#17988884C2211yescharacteristic, complemented
103#17988875C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988841C2211yescharacteristic, complemented
106#17988840C2211yescharacteristic, complemented
107#17988839C2211yescharacteristic, complemented
108#17988826C2211yescharacteristic, complemented
109#17988824C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic, complemented
111#17988821C2211yescharacteristic
112#17988821C2211yescharacteristic, complemented
113#17988818C2211yescharacteristic, complemented
114#17988816C2211yescharacteristic, complemented
115#17988812C2211yescharacteristic, complemented
116#17988809C2211yescharacteristic, complemented
117#17988807C2211yescharacteristic, complemented
118#17988805C2211yescharacteristic, complemented
119#17988804C2211yescharacteristic, complemented
120#17988804C2211yescharacteristic, complemented
121#17988803C2211yescharacteristic, complemented
122#17988801C2211yescharacteristic, complemented
123#17988801C2211yescharacteristic, complemented
124#17988801C2211yescharacteristic, complemented
125#17988801C2211yescharacteristic, complemented
126#17988801C2211yescharacteristic, complemented
127#17988785C2211yescharacteristic, complemented
128#17988785C2211yescharacteristic, complemented
129#17988783C2211yescharacteristic, complemented
130#17988782C2211yescharacteristic, complemented
131#17988781C2211yescharacteristic
132#17988781C2211yescharacteristic, complemented
133#17988781C2211yescharacteristic, complemented
134#17988781C2211yescharacteristic, complemented
135#17988781C2211yescharacteristic, complemented
136#17988781C2211yescharacteristic, complemented
137#17988781C2211yescharacteristic, complemented
138#17988781C2211yescharacteristic, complemented
139#17988781C2211yescharacteristic, complemented
140#17988781C2211yescharacteristic, complemented
141#17988781C2211yescharacteristic, complemented
142#17988781C2211yescharacteristic, complemented
143#17988779C2211yescharacteristic, complemented
144#17988747C2211yescharacteristic, complemented
145#17988740C2211yescharacteristic, complemented
146#17988737C2211yescharacteristic, complemented
147#17988735C2211yescharacteristic, complemented
148#17988734C2211yescharacteristic, complemented
149#17988733C2211yescharacteristic, complemented
150#17988733C2211yescharacteristic, complemented
151#17988731C2211yescharacteristic, complemented
152#17988723C2211yescharacteristic, complemented
153#17988723C2211yescharacteristic, complemented
154#17988722C2211yescharacteristic, complemented
155#17988722C2211yescharacteristic, complemented
156#17988721C2211yescharacteristic, complemented
157#17988721C2211yescharacteristic, complemented
158#17988720C2211yescharacteristic
159#17988720C2211yescharacteristic, complemented
160#17988715C2211yescharacteristic, complemented
161#17988714C2211yescharacteristic, complemented
162#17988700C2211yescharacteristic, complemented
163#17988698C2211yescharacteristic, complemented
164#17988696C2211yescharacteristic, complemented
165#17988696C2211yescharacteristic, complemented
166#17988696C2211yescharacteristic, complemented
167#17988686C2211yescharacteristic, complemented
168#17988686C2211yescharacteristic, complemented
169C4×#11924015C2211yescharacteristic, complemented
170#17988669C2211yescharacteristic, complemented
171C4×#11924013C2211yescharacteristic, complemented
172#17988667C2211yescharacteristic, complemented
173#17988658C2211yescharacteristic, complemented
174#17988656C2211yescharacteristic, complemented
175#17988655C2211yescharacteristic, complemented
176D4×#10596831C2211yescharacteristic, complemented
177#17988650C2211yescharacteristic, complemented
178#17988649C2211yescharacteristic, complemented
179#17988645C2211yescharacteristic, complemented
180#17988641C2211yescharacteristic, complemented
181#17988615C2211yescharacteristic, complemented
182#17988612C2211yescharacteristic, complemented
183C2×#14556520C2211yescharacteristic, complemented
184#17988585C2211yescharacteristic, complemented
185#17988581C2211yescharacteristic, complemented
186C2×#14556511C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188#552×C73C2211yescharacteristic, complemented
189D42×C73C2211yescharacteristic
190#490×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C22×C22⋊D73—21no—
212C22×C22⋊D73—21no—
213C22×C22⋊D73—21no—
214C2×D4×D73—21no—
215C2×D4×D73—21no—
216C2×D4×D73C2311yescharacteristic
217C22×C4×D73—21no—
218#14556619—42no—
219#14556618—42no—
220#14556612—42no—
221C2×#11924018C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227C2×D584—42no—
228C2×D584C2311yescharacteristic
229C2×D584C2311yescharacteristic
230C2×D584C2311yescharacteristic
231C2×D584C2311yescharacteristic
232C2×D584C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×#11924013—42no—
235C2×#11924013—42no—
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924013C2311yescharacteristic
244C2×#11924013C2311yescharacteristic
245C2×#11924011C2311yescharacteristic
246C22×#10596831C2311yescharacteristic
247C22×#10596831C2311yescharacteristic
248C2×C8×D73C2311yescharacteristic
249#14556590C2311yescharacteristic
250#14556588C2311yescharacteristic
251#14556587—21no—
252#14556587—21no—
253#14556587—21no—
254#14556587C2311yescharacteristic
255#14556587C2311yescharacteristic
256#14556587C2311yescharacteristic
257#14556587C2311yescharacteristic
258#14556587C2311yescharacteristic
259#14556586—21no—
260#14556586—21no—
261#14556586D411yescharacteristic
262#14556585—21no—
263#14556584—21no—
264#14556584D411yescharacteristic
265#14556582C2311yescharacteristic
266#14556582C2311yescharacteristic
267#14556581D411yescharacteristic
268#14556580C2311yescharacteristic
269#14556580C2311yescharacteristic
270#14556579—21no—
271#14556579C2311yescharacteristic
272#14556578C2311yescharacteristic
273#14556578C2311yescharacteristic
274#14556577—21no—
275#14556577—21no—
276#14556577D411yescharacteristic
277#14556576—21no—
278#14556576—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556575—21no—
286#14556575—21no—
287#14556575D411yescharacteristic
288#14556574—21no—
289#14556574—21no—
290#14556574—21no—
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556573—21no—
295#14556573—21no—
296#14556572—21no—
297#14556572—21no—
298#14556572D411yescharacteristic
299#14556571—21no—
300#14556571—21no—
301#14556570C2311yescharacteristic
302#14556569—21no—
303#14556569—21no—
304#14556569—21no—
305#14556568D411yescharacteristic
306#14556566—21no—
307#14556566—21no—
308#14556566—21no—
309#14556566—21no—
310#14556566—21no—
311#14556566C2311yescharacteristic
312#14556566C2311yescharacteristic
313#14556566C2311yescharacteristic
314#14556565—21no—
315#14556565C2311yescharacteristic
316#14556565C2311yescharacteristic
317#14556565C2311yescharacteristic
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556564—21no—
322#14556564—21no—
323#14556563—21no—
324#14556563—21no—
325#14556563—21no—
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556563—21no—
331#14556563D411yescharacteristic
332#14556562—21no—
333#14556562—21no—
334#14556562—21no—
335#14556562—21no—
336#14556562C2311yescharacteristic
337#14556561—21no—
338#14556561—21no—
339#14556561—21no—
340#14556561—21no—
341#14556561—21no—
342#14556560—21no—
343#14556560—21no—
344#14556560—21no—
345#14556560—21no—
346#14556559—21no—
347#14556559—21no—
348#14556559—21no—
349#14556559—21no—
350#14556559—21no—
351Q8×Dic73C2311yescharacteristic
352C4×Dic146C2311yescharacteristic
353#14556556C2311yescharacteristic
354C4×D292—21no—
355C4×D292—21no—
356C4×D292—21no—
357C4×D292—21no—
358C4×D292—21no—
359C4×D292C2311yescharacteristic
360C4×D292C2311yescharacteristic
361D4×Dic73—21no—
362D4×Dic73C2311yescharacteristic
363D4×Dic73C2311yescharacteristic
364#14556553—21no—
365#14556553—21no—
366#14556553—21no—
367#14556553C2311yescharacteristic
368#14556553C2311yescharacteristic
369#14556553C2311yescharacteristic
370#14556553C2311yescharacteristic
371#14556553C2311yescharacteristic
372#14556553C2311yescharacteristic
373#14556553C2311yescharacteristic
374#14556553C2311yescharacteristic
375C4×C22⋊D73—21no—
376C4×C22⋊D73C2311yescharacteristic
377C4×C22⋊D73C2311yescharacteristic
378#14556551—21no—
379#14556551—21no—
380#14556550C2311yescharacteristic
381#14556549—21no—
382#14556548—21no—
383#14556548C2311yescharacteristic
384#14556547—21no—
385C4⋊C4×D73—21no—
386C4⋊C4×D73—21no—
387C4⋊C4×D73C2311yescharacteristic
388C2×C22⋊Dic73—21no—
389C2×#11924005—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C2×C4×Dic73C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556523C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556501C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C4×#10596831C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C22×D4×C73—21no—
442C22×D4×C73C2311yescharacteristic
443C22×D4×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×M16×C73C2311yescharacteristic
448C22×C8×C73C2311yescharacteristic
449#127×C73C2311yescharacteristic
450#126×C73—21no—
451#125×C73—21no—
452#125×C73C2311yescharacteristic
453#123×C73—21no—
454C22⋊Q8×C73C2311yescharacteristic
455C22⋊Q8×C73C2311yescharacteristic
456#121×C73—21no—
457#121×C73C2311yescharacteristic
458#121×C73C2311yescharacteristic
459#120×C73—21no—
460#120×C73—21no—
461C4×Q8×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464#117×C73—21no—
465#117×C73C2311yescharacteristic
466C2×C4⋊C4×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×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
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488#11924029—22no—
489#11924029—41no—
490#11924028—41no—
491#11924028—41no—
492#11924028—82no—
493#11924027—41no—
494#11924027—41no—
495#11924027—82no—
496C2×Dic146—21no—
497C2×Dic146C2×D411yescharacteristic
498C2×Dic146C2411yescharacteristic
499C2×D292—22no—
500C2×D292—22no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—41no—
511C2×D292—41no—
512C2×D292—41no—
513C2×D292—41no—
514C2×D292C2411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×D292C2411yescharacteristic
517C2×D292C2411yescharacteristic
518C2×D292C2411yescharacteristic
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—82no—
537C2×C22⋊D73—82no—
538C2×C22⋊D73—82no—
539C2×C22⋊D73C2×D411yescharacteristic
540C2×C22⋊D73C2×D411yescharacteristic
541D4×D73—41no—
542D4×D73—41no—
543D4×D73—82no—
544D4×D73—82no—
545C22×Dic73—21no—
546C22×Dic73—21no—
547C22×Dic73—21no—
548C22×Dic73C2×D411yescharacteristic
549C22×Dic73C2×D411yescharacteristic
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—82no—
564C2×C4×D73C2411yescharacteristic
565#11924018—41no—
566#11924017—22no—
567#11924017—41no—
568#11924017—41no—
569#11924015—41no—
570#11924015—41no—
571D584—22no—
572D584—22no—
573D584—41no—
574D584—41no—
575D584—41no—
576D584—41no—
577#11924013—22no—
578#11924013—22no—
579#11924013—22no—
580#11924013—41no—
581#11924013—41no—
582#11924013—41no—
583#11924013—41no—
584#11924013—41no—
585#11924013—41no—
586#11924011—41no—
587C2×#10596831—41no—
588C2×#10596831—41no—
589C2×#10596831C2411yescharacteristic
590C2×#10596831C2411yescharacteristic
591C2×#10596831C2411yescharacteristic
592C2×#10596831C2411yescharacteristic
593C8×D73—41no—
594C4⋊Dic73—21no—
595C4⋊Dic73—21no—
596C4⋊Dic73—21no—
597C4⋊Dic73C2×D411yescharacteristic
598C4⋊Dic73C2×D411yescharacteristic
599C4⋊Dic73C2×D411yescharacteristic
600C4⋊Dic73C2411yescharacteristic
601C4⋊Dic73C2411yescharacteristic
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007C2×D411yescharacteristic
609#11924007C2×D411yescharacteristic
610#11924007C2×D411yescharacteristic
611#11924007C2×D411yescharacteristic
612#11924007C2×D411yescharacteristic
613#11924007C2×D411yescharacteristic
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73C2×D411yescharacteristic
623C22⋊Dic73C2×D411yescharacteristic
624C22⋊Dic73C2×D411yescharacteristic
625C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005C2×D411yescharacteristic
649#11924005C2×D411yescharacteristic
650#11924005C2×D411yescharacteristic
651#11924005C2×D411yescharacteristic
652C4×Dic73—21no—
653C4×Dic73—21no—
654C4×Dic73C2×D411yescharacteristic
655C4×Dic73C2×D411yescharacteristic
656C4×Dic73C2411yescharacteristic
657C4×Dic73C2411yescharacteristic
658C4×Dic73C2411yescharacteristic
659C24×C73—21no—
660C24×C73—21no—
661C2×Q8×C73C2411yescharacteristic
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73—21no—
666C2×D4×C73—21no—
667C2×D4×C73—21no—
668C2×D4×C73—41no—
669C2×D4×C73—41no—
670C2×D4×C73—41no—
671C2×D4×C73—41no—
672C2×D4×C73—82no—
673C2×D4×C73C2×D411yescharacteristic
674C2×D4×C73C2411yescharacteristic
675C2×D4×C73C2411yescharacteristic
676C2×D4×C73C2411yescharacteristic
677C22×C4×C73—21no—
678C22×C4×C73—21no—
679C22×C4×C73C2411yescharacteristic
680C22×C4×C73C2411yescharacteristic
681SD16×C73—41no—
682SD16×C73—41no—
683SD16×C73—41no—
684M16×C73—41no—
685C2×C8×C73—41no—
686C2×C8×C73C2411yescharacteristic
687C2×C8×C73C2411yescharacteristic
688C2×C8×C73C2411yescharacteristic
689C2×C8×C73C2411yescharacteristic
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73—21no—
693C4⋊C4×C73—21no—
694C4⋊C4×C73—21no—
695C4⋊C4×C73—21no—
696C4⋊C4×C73C2×D411yescharacteristic
697C4⋊C4×C73C2411yescharacteristic
698C4⋊C4×C73C2411yescharacteristic
699C4⋊C4×C73C2411yescharacteristic
700C4⋊C4×C73C2411yescharacteristic
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73—21no—
705C22⋊C4×C73—21no—
706C22⋊C4×C73—21no—
707C22⋊C4×C73C2×D411yescharacteristic
708C22⋊C4×C73C2×D411yescharacteristic
709C42×C73—21no—
710C42×C73—21no—
711C42×C73C2411yescharacteristic
712C23×C73—21no—
713C23×C73—21no—
714C23×C73—21no—
715C23×C73—42no—
716C23×C73—81no—
717C23×C73—81no—
718C23×C73—81no—
719C23×C73—81no—
720C23×C73—81no—
721C23×C73C22×D411yescharacteristic
722C23×C73C22×D411yescharacteristic
723C22×D73—21no—
724C22×D73—21no—
725C22×D73—21no—
726C22×D73—21no—
727C22×D73—21no—
728C22×D73—42no—
729C22×D73—42no—
730C22×D73—42no—
731C22×D73—42no—
732C22×D73—81no—
733C22×D73—81no—
734C22×D73—81no—
735C22×D73—81no—
736C22×D73—81no—
737C22×D73—81no—
738C22×D73—81no—
739C22×D73—81no—
740C22×D73C22×D411yescharacteristic
741Q8×C73—21no—
742Q8×C73—21no—
743D4×C73—22no—
744D4×C73—21no—
745D4×C73—21no—
746D4×C73—21no—
747D4×C73—21no—
748D4×C73—21no—
749D4×C73—21no—
750D4×C73—42no—
751D4×C73—81no—
752D4×C73—81no—
753D4×C73—81no—
754D4×C73—81no—
755D4×C73—81no—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—21no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—21no—
764C2×C4×C73—21no—
765C2×C4×C73—42no—
766C2×C4×C73—81no—
767C2×C4×C73C22×D411yescharacteristic
768C2×C4×C73C22×D411yescharacteristic
769C2×C4×C73C22×D411yescharacteristic
770C2×C4×C73C22×D411yescharacteristic
771C2×C4×C73C2511yescharacteristic
772C22⋊D73—22no—
773C22⋊D73—41no—
774C22⋊D73—42no—
775C22⋊D73—42no—
776C22⋊D73—42no—
777C22⋊D73—81no—
778C22⋊D73—81no—
779C22⋊D73—81no—
780C22⋊D73—81no—
781C22⋊D73—81no—
782C22⋊D73—81no—
783C22⋊D73—81no—
784C22⋊D73—81no—
785C22⋊D73—81no—
786C22⋊D73—81no—
787C22⋊D73—81no—
788C22⋊D73—81no—
789C22⋊D73—81no—
790C22⋊D73—81no—
791C2×Dic73—22no—
792C2×Dic73—21no—
793C2×Dic73—21no—
794C2×Dic73—21no—
795C2×Dic73—41no—
796C2×Dic73—42no—
797C2×Dic73—81no—
798C2×Dic73—81no—
799C2×Dic73C22×D411yescharacteristic
800C2×Dic73C22×D411yescharacteristic
801C2×Dic73C22×D411yescharacteristic
802C2×Dic73C22×D411yescharacteristic
803C2×Dic73C22×D411yescharacteristic
804C2×Dic73C22×D411yescharacteristic
805C2×Dic73C22×D411yescharacteristic
806D292—21no—
807D292—21no—
808D292—21no—
809D292—21no—
810D292—21no—
811D292—21no—
812D292—21no—
813D292—21no—
814D292—21no—
815D292—42no—
816D292—42no—
817D292—42no—
818D292—81no—
819D292—81no—
820D292—81no—
821D292—81no—
822D292—81no—
823D292—81no—
824D292H(5,𝔽2)12yes—
825C4×D73—21no—
826C4×D73—21no—
827C4×D73—42no—
828C4×D73—81no—
829C4×D73—81no—
830C4×D73—81no—
831C4×D73—81no—
832C4×D73—81no—
833C4×D73—81no—
834C4×D73—81no—
835C4×D73—81no—
836C4×D73—81no—
837C4×D73—81no—
838C4×D73—81no—
839C4×D73—81no—
840Dic146—21no—
841Dic146—21no—
842Dic146—41no—
843Dic146—81no—
844C8×C73—21no—
845C8×C73—21no—
846C8×C73—21no—
847C8×C73—21no—
848#10596831—21no—
849#10596831—21no—
850#10596831—21no—
851#10596831—21no—
852C22×C73—21no—
853C22×C73—21no—
854C22×C73—21no—
855C22×C73—21no—
856C22×C73—21no—
857C22×C73—41no—
858C22×C73—41no—
859C22×C73—41no—
860C22×C73—41no—
861C22×C73—41no—
862C22×C73—41no—
863C22×C73—41no—
864C22×C73—41no—
865C22×C73—41no—
866C22×C73—162no—
867C22×C73—162no—
868C22×C73#57612yes—
869C22×C73C23×D411yescharacteristic
870C2×D73—21no—
871C2×D73—21no—
872C2×D73—22no—
873C2×D73—21no—
874C2×D73—41no—
875C2×D73—41no—
876C2×D73—41no—
877C2×D73—41no—
878C2×D73—41no—
879C2×D73—41no—
880C2×D73—41no—
881C2×D73—41no—
882C2×D73—41no—
883C2×D73—41no—
884C2×D73—41no—
885C2×D73—41no—
886C2×D73—41no—
887C2×D73—41no—
888C2×D73—84no—
889C2×D73—162no—
890C2×D73—162no—
891C2×D73—162no—
892C4×C73—21no—
893C4×C73—21no—
894C4×C73—21no—
895C4×C73—21no—
896C4×C73—41no—
897C4×C73—41no—
898C4×C73—41no—
899C4×C73—41no—
900C4×C73—41no—
901C4×C73C2×H(5,𝔽2)11yescharacteristic
902C4×C73#58511yescharacteristic
903Dic73—21no—
904Dic73—21no—
905Dic73—21no—
906Dic73—21no—
907Dic73—21no—
908Dic73—21no—
909Dic73—21no—
910Dic73—41no—
911Dic73—41no—
912Dic73—41no—
913#62007—731nomaximal, Sylow
914C2×C73—22no—
915C2×C73—41no—
916C2×C73—81no—
917C2×C73—81no—
918C2×C73—81no—
919C2×C73#348811yescharacteristic
920C2×C73C2×#57611yescharacteristic
921C2×C73#358511yescharacteristic
922D73—41no—
923D73—42no—
924D73—81no—
925D73—81no—
926D73—81no—
927D73—81no—
928#3543—731no—
929#3513—731no—
930#3403—731no—
931#3399—731no—
932#3370—731no—
933#3366—731no—
934#3318—731no—
935#3310D7311yescharacteristic, complemented
936#3309—731no—
937#3306—731no—
938#3296—731no—
939#3294—731no—
940#3280—731no—
941D4×D8—731no—
942#3268—731no—
943#3264—731no—
944#3264—731no—
945#3264—731no—
946#3259—731no—
947#3257—731no—
948#3250—731no—
949#3224—731no—
950#3220—731no—
951#3217—731no—
952#3122—731no—
953#3119—731no—
954#3114—731no—
955#3045—731no—
956#3041—731no—
957C2×#459—731no—
958#2992—731no—
959C73#6200711yescharacteristic, complemented, Sylow
960C2×AGL(1,ℤ/8)—731no—
961C2×AGL(1,ℤ/8)—731no—
962C2×#135—731no—
963C22×D8—731no—
964C22×D8—731no—
965C22×D8—731no—
966#560—1461no—
967#560—1461no—
968#559—731no—
969#559—731no—
970#554—731no—
971#553—731no—
972#553—1461no—
973#552C2×D7311yescharacteristic, complemented
974#551—1461no—
975#551—1461no—
976#550—731no—
977#550—731no—
978#547—731no—
979#546—731no—
980#546—731no—
981#546—731no—
982#546—731no—
983#546—1461no—
984#546—1461no—
985D42—731no—
986D42—731no—
987D42—731no—
988D42—1461no—
989D42C2×D7311yescharacteristic
990#542—731no—
991#540—731no—
992#540—731no—
993#540—731no—
994#540—1461no—
995#539—1461no—
996#538—1461no—
997#535—731no—
998#535—731no—
999#535—1461no—
1000#534—1461no—
1001#534—1461no—
1002C2×#127—731no—
1003#529—731no—
1004#529—731no—
1005#529—731no—
1006#525—1461no—
1007C2×#123—1461no—
1008#520—731no—
1009#518—731no—
1010C2×C4×D4—731no—
1011#496—731no—
1012#496—731no—
1013#496—731no—
1014#496—731no—
1015#495—731no—
1016#493—731no—
1017#490—731no—
1018#490—731no—
1019#490C2×D7311yescharacteristic, complemented
1020#489—731no—
1021#488—731no—
1022#486—731no—
1023#483—731no—
1024#482—731no—
1025#482C2×D7311yescharacteristic, complemented
1026#481—731no—
1027#480—731no—
1028#480C2×D7311yescharacteristic, complemented
1029#479—731no—
1030#479—731no—
1031#478—731no—
1032#478—731no—
1033#478—731no—
1034#478—731no—
1035#478—731no—
1036#478C2×D7311yescharacteristic, complemented
1037#476—731no—
1038#474—731no—
1039#469—731no—
1040#469—731no—
1041#469—731no—
1042#468C2×D7311yescharacteristic, complemented
1043#467—731no—
1044#466—731no—
1045#466—731no—
1046#466—731no—
1047#466—731no—
1048#465—731no—
1049#465—731no—
1050#465C2×D7311yescharacteristic, complemented
1051#464—731no—
1052#464—731no—
1053#464—731no—
1054#463—731no—
1055#463—731no—
1056#463—731no—
1057#463—731no—
1058#463—731no—
1059#463—731no—
1060#463—731no—
1061#463—731no—
1062#463—731no—
1063#460—731no—
1064#460—731no—
1065#460C2×D7311yescharacteristic, complemented
1066#459—731no—
1067#459—731no—
1068#459—731no—
1069#459—731no—
1070#459—731no—
1071#459—731no—
1072#459—731no—
1073#459—731no—
1074#459—731no—
1075#459—731no—
1076#459—731no—
1077#459—731no—
1078#459—731no—
1079#459—731no—
1080#459—731no—
1081#452—731no—
1082#450—731no—
1083#450—731no—
1084#450C2×D7311yescharacteristic, complemented
1085#450C2×D7311yescharacteristic, complemented
1086#449—731no—
1087#449—731no—
1088#449—731no—
1089#449—731no—
1090#449—731no—
1091#447—731no—
1092#447—731no—
1093#447—731no—
1094#447—731no—
1095#447—731no—
1096#447—731no—
1097#447—731no—
1098#447—731no—
1099#446—731no—
1100#446—731no—
1101#442—731no—
1102#442—731no—
1103#442—731no—
1104#442—731no—
1105#442—731no—
1106#440—731no—
1107#440—731no—
1108#440C2×D7311yescharacteristic, complemented
1109C4×SD16—731no—
1110C4×D8—731no—
1111C4×D8—731no—
1112C4×D8—731no—
1113#435—731no—
1114#435—731no—
1115#435—731no—
1116#435C2×D7311yescharacteristic, complemented
1117C8×D4—731no—
1118C8×D4—731no—
1119#433—731no—
1120#433—731no—
1121#432—731no—
1122#424—731no—
1123#424—731no—
1124C2×C4⋊C8—731no—
1125#418C2×D7311yescharacteristic, complemented
1126#417—731no—
1127#416—731no—
1128C2×#102—731no—
1129C2×#102—731no—
1130C2×#102C2×D7311yescharacteristic, complemented
1131C2×#41—731no—
1132C2×#41—731no—
1133C2×#41—731no—
1134C2×#41—1461no—
1135C2×#41—1461no—
1136C22×D4—21no—
1137C22×D4—731no—
1138C22×D4—731no—
1139C22×D4—731no—
1140C22×D4—731no—
1141C22×D4—1461no—
1142C22×D4—1461no—
1143C22×D4—1461no—
1144C22×D4—1461no—
1145C22×D4—1461no—
1146C22×D4C22×D7311yescharacteristic
1147C22×D4C22×D7311yescharacteristic
1148C23×C4—1461no—
1149AGL(1,ℤ/8)—2922no—
1150AGL(1,ℤ/8)—2922no—
1151#135—2922no—
1152C2×Q16—731no—
1153C2×SD16—731no—
1154C2×SD16—731no—
1155C2×SD16—731no—
1156C2×SD16—731no—
1157C2×SD16—731no—
1158C2×SD16C22×D7311yescharacteristic
1159C2×SD16C22×D7311yescharacteristic
1160C2×SD16C22×D7311yescharacteristic
1161C2×D8—2922no—
1162C2×D8—2922no—
1163C2×D8—2922no—
1164C2×D8—731no—
1165C2×D8—731no—
1166C2×D8—731no—
1167C2×D8—731no—
1168C2×D8—731no—
1169C2×D8—731no—
1170C2×D8—731no—
1171C2×D8—731no—
1172C2×D8—731no—
1173C2×D8—731no—
1174C2×D8—731no—
1175C2×D8—731no—
1176C2×D8—731no—
1177C2×D8—731no—
1178C2×D8—731no—
1179C2×M16—731no—
1180C2×M16C22×D7311yescharacteristic
1181C22×C8—731no—
1182C22×C8—731no—
1183C22×C8—731no—
1184C22×C8C22×D7311yescharacteristic
1185C4⋊Q8—731no—
1186#127—731no—
1187#127—731no—
1188#127—731no—
1189#127—731no—
1190#127—731no—
1191#127—731no—
1192#127—1461no—
1193#127—1461no—
1194#127—1461no—
1195#127C22×D7311yescharacteristic
1196#126—21no—
1197#126—731no—
1198#126—731no—
1199#126—1461no—
1200#126—1461no—
1201#126—1461no—
1202#126—1461no—
1203#125—21no—
1204#125—731no—
1205#125—731no—
1206#125—731no—
1207#125C22×D7311yescharacteristic
1208#124—731no—
1209#124—731no—
1210#124—731no—
1211#124—731no—
1212#124—731no—
1213#124—731no—
1214#124—1461no—
1215#124—1461no—
1216#124—1461no—
1217#123—21no—
1218#123—731no—
1219#123—731no—
1220#123—1461no—
1221#123—1461no—
1222#123—1461no—
1223#123—1461no—
1224#123—1461no—
1225#123—1461no—
1226#123—1461no—
1227#123—1461no—
1228#123—1461no—
1229#123—1461no—
1230#123—1461no—
1231#123—1461no—
1232#123—1461no—
1233#123—1461no—
1234#123—1461no—
1235#123—1461no—
1236#123—1461no—
1237#123—1461no—
1238#123—1461no—
1239#123—1461no—
1240C22⋊Q8—731no—
1241C22⋊Q8—731no—
1242C22⋊Q8—1461no—
1243C22⋊Q8—1461no—
1244C22⋊Q8—1461no—
1245C22⋊Q8—1461no—
1246C22⋊Q8—1461no—
1247C22⋊Q8C22×D7311yescharacteristic
1248C22⋊Q8C22×D7311yescharacteristic
1249#121—21no—
1250#121—731no—
1251#121—731no—
1252#121—731no—
1253#121—731no—
1254#121—731no—
1255#121—731no—
1256#121—731no—
1257#121—731no—
1258#121—1461no—
1259#121—1461no—
1260#121—1461no—
1261#121—1461no—
1262#121—1461no—
1263#121—1461no—
1264#121—1461no—
1265#121—1461no—
1266#121—1461no—
1267#121—1461no—
1268#121—1461no—
1269#121—1461no—
1270#121—1461no—
1271#121—1461no—
1272#121—1461no—
1273#121—1461no—
1274#121—1461no—
1275#121—1461no—
1276#121—1461no—
1277#121—1461no—
1278#121—1461no—
1279#121—1461no—
1280#121—1461no—
1281#121C22×D7311yescharacteristic
1282#121C22×D7311yescharacteristic
1283#120—21no—
1284#120—21no—
1285#120—1461no—
1286#120—1461no—
1287#120—1461no—
1288#120—1461no—
1289#120—1461no—
1290#120—1461no—
1291#120—1461no—
1292#120—1461no—
1293#120—1461no—
1294#120—1461no—
1295#120—1461no—
1296#120—1461no—
1297#120—1461no—
1298#120—1461no—
1299C4×Q8—731no—
1300C4×Q8—731no—
1301C4×Q8—731no—
1302C4×Q8C22×D7311yescharacteristic
1303C4×D4—731no—
1304C4×D4—731no—
1305C4×D4—731no—
1306C4×D4—731no—
1307C4×D4—731no—
1308C4×D4—731no—
1309C4×D4—731no—
1310C4×D4—731no—
1311C4×D4—731no—
1312C4×D4—731no—
1313C4×D4—731no—
1314C4×D4—731no—
1315C4×D4—731no—
1316C4×D4—731no—
1317C4×D4—1461no—
1318C4×D4—1461no—
1319C4×D4—1461no—
1320C4×D4—1461no—
1321C4×D4—1461no—
1322C4×D4—1461no—
1323C4×D4—1461no—
1324C4×D4—1461no—
1325C4×D4—1461no—
1326C4×D4—1461no—
1327C4×D4—1461no—
1328C4×D4—1461no—
1329C4×D4C22×D7311yescharacteristic
1330C4×D4C22×D7311yescharacteristic
1331#117—21no—
1332#117—731no—
1333#117—731no—
1334#117—1461no—
1335#117—1461no—
1336#117—1461no—
1337#117C22×D7311yescharacteristic
1338C2×C4⋊C4—731no—
1339C2×C4⋊C4—1461no—
1340C2×C4⋊C4—1461no—
1341C2×C4⋊C4C22×D7311yescharacteristic
1342C2×C22⋊C4—1461no—
1343C2×C22⋊C4—1461no—
1344C2×C22⋊C4—1461no—
1345C2×C22⋊C4—1461no—
1346C2×C22⋊C4—1461no—
1347C2×C22⋊C4—1461no—
1348C2×C22⋊C4—1461no—
1349C2×C42—731no—
1350#107—731no—
1351#107—731no—
1352#107C22×D7311yescharacteristic
1353#107C22×D7311yescharacteristic
1354#106—731no—
1355#106—731no—
1356#106—731no—
1357#106C22×D7311yescharacteristic
1358C4⋊C8—731no—
1359C4⋊C8—731no—
1360C4⋊C8—731no—
1361C4⋊C8—731no—
1362C4⋊C8—731no—
1363C4⋊C8—731no—
1364C4⋊C8—731no—
1365C4⋊C8—731no—
1366C4⋊C8—731no—
1367C4⋊C8C22×D7311yescharacteristic
1368#103—731no—
1369#103—731no—
1370#103—731no—
1371#103—731no—
1372#103—731no—
1373#103C22×D7311yescharacteristic
1374#102—731no—
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102—731no—
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102—731no—
1391#102C22×D7311yescharacteristic
1392#102C22×D7311yescharacteristic
1393#102C22×D7311yescharacteristic
1394#102C22×D7311yescharacteristic
1395#102C22×D7311yescharacteristic
1396#102C22×D7311yescharacteristic
1397#102C22×D7311yescharacteristic
1398#102C22×D7311yescharacteristic
1399#102C22×D7311yescharacteristic
1400C22⋊C8—731no—
1401C22⋊C8—731no—
1402C22⋊C8—731no—
1403C22⋊C8—731no—
1404C22⋊C8C22×D7311yescharacteristic
1405C22⋊C8C22×D7311yescharacteristic
1406#97—731no—
1407#97—731no—
1408#97—731no—
1409#97C22×D7311yescharacteristic
1410C4×C8—731no—
1411C4×C8—731no—
1412C24—21no—
1413C24—21no—
1414C24—1461no—
1415C24—1461no—
1416C24—1461no—
1417C24—1461no—
1418#41—2921no—
1419#41—2921no—
1420#41—2921no—
1421#41—2921no—
1422#41—2921no—
1423#41—5842no—
1424#41—5842no—
1425#41—1462no—
1426C2×Q8—731no—
1427C2×Q8—731no—
1428C2×Q8—1461no—
1429C2×Q8C23×D7311yescharacteristic
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—41no—
1437C2×D4—41no—
1438C2×D4—41no—
1439C2×D4—41no—
1440C2×D4—82no—
1441C2×D4—2921no—
1442C2×D4—2921no—
1443C2×D4—2921no—
1444C2×D4—2921no—
1445C2×D4—2921no—
1446C2×D4—2921no—
1447C2×D4—5842no—
1448C2×D4—5842no—
1449C2×D4—5842no—
1450C2×D4—5842no—
1451C2×D4—5842no—
1452C2×D4—731no—
1453C2×D4—731no—
1454C2×D4—731no—
1455C2×D4—731no—
1456C2×D4—731no—
1457C2×D4—731no—
1458C2×D4—731no—
1459C2×D4—1461no—
1460C2×D4—1462no—
1461C2×D4—1462no—
1462C2×D4—1461no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1461no—
1469C2×D4—1461no—
1470C2×D4—1461no—
1471C2×D4—1461no—
1472C2×D4—1461no—
1473C2×D4—1461no—
1474C2×D4—1461no—
1475C2×D4—1461no—
1476C2×D4—1461no—
1477C2×D4—1461no—
1478C2×D4—1461no—
1479C2×D4—1461no—
1480C2×D4—1461no—
1481C2×D4—1461no—
1482C2×D4—1461no—
1483C2×D4—1461no—
1484C2×D4—1461no—
1485C2×D4—1461no—
1486C2×D4—1461no—
1487C2×D4D4×D7311yescharacteristic
1488C2×D4C23×D7311yescharacteristic
1489C2×D4C23×D7311yescharacteristic
1490C2×D4C23×D7311yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—5842no—
1494C22×C4—731no—
1495C22×C4—731no—
1496C22×C4—731no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4—1461no—
1505C22×C4—1461no—
1506C22×C4—1461no—
1507C22×C4—1461no—
1508C22×C4—1461no—
1509C22×C4—1461no—
1510C22×C4—1461no—
1511C22×C4—1461no—
1512C22×C4—1461no—
1513C22×C4C23×D7311yescharacteristic
1514C22×C4C23×D7311yescharacteristic
1515Q16—2921no—
1516SD16—41no—
1517SD16—41no—
1518SD16—41no—
1519SD16—2921no—
1520SD16—2921no—
1521SD16—2921no—
1522SD16—2921no—
1523SD16—1462no—
1524D8—2921no—
1525D8—2921no—
1526D8—2921no—
1527D8—2921no—
1528D8—2921no—
1529D8—2921no—
1530D8—2921no—
1531D8—2921no—
1532D8—2921no—
1533D8—2921no—
1534D8—1462no—
1535D8—1462no—
1536D8—1462no—
1537D8—1462no—
1538D8—1462no—
1539M16—41no—
1540M16—2921no—
1541C2×C8—41no—
1542C2×C8—2921no—
1543C2×C8—2921no—
1544C2×C8—2921no—
1545C2×C8—731no—
1546C2×C8—731no—
1547C2×C8—731no—
1548C2×C8—731no—
1549C2×C8C23×D7311yescharacteristic
1550C2×C8C23×D7311yescharacteristic
1551C2×C8C23×D7311yescharacteristic
1552C2×C8C23×D7311yescharacteristic
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—731no—
1560C4⋊C4—731no—
1561C4⋊C4—731no—
1562C4⋊C4—731no—
1563C4⋊C4—731no—
1564C4⋊C4—731no—
1565C4⋊C4—731no—
1566C4⋊C4—731no—
1567C4⋊C4—731no—
1568C4⋊C4—731no—
1569C4⋊C4—731no—
1570C4⋊C4—1461no—
1571C4⋊C4—1461no—
1572C4⋊C4—1461no—
1573C4⋊C4—1461no—
1574C4⋊C4—1461no—
1575C4⋊C4—1461no—
1576C4⋊C4—1461no—
1577C4⋊C4—1461no—
1578C4⋊C4—1461no—
1579C4⋊C4D4×D7311yescharacteristic
1580C4⋊C4C23×D7311yescharacteristic
1581C4⋊C4C23×D7311yescharacteristic
1582C4⋊C4C23×D7311yescharacteristic
1583C4⋊C4C23×D7311yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—731no—
1591C22⋊C4—731no—
1592C22⋊C4—731no—
1593C22⋊C4—731no—
1594C22⋊C4—731no—
1595C22⋊C4—731no—
1596C22⋊C4—731no—
1597C22⋊C4—731no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4—1461no—
1618C22⋊C4—1461no—
1619C22⋊C4—1461no—
1620C22⋊C4—1461no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C22⋊C4—1461no—
1626C22⋊C4—1461no—
1627C22⋊C4—1461no—
1628C22⋊C4D4×D7311yescharacteristic
1629C22⋊C4D4×D7311yescharacteristic
1630C42—21no—
1631C42—21no—
1632C42—731no—
1633C42—731no—
1634C42—731no—
1635C42—731no—
1636C42—731no—
1637C42—1461no—
1638C42—1461no—
1639C42C23×D7311yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—42no—
1644C23—81no—
1645C23—81no—
1646C23—81no—
1647C23—81no—
1648C23—81no—
1649C23—2922no—
1650C23—2922no—
1651C23—2922no—
1652C23—2922no—
1653C23—5841no—
1654C23—5841no—
1655C23—5841no—
1656C23—5841no—
1657C23—5841no—
1658C23—5841no—
1659C23—5841no—
1660C23—5841no—
1661C23—731no—
1662C23—1461no—
1663C23—1461no—
1664C23—1461no—
1665C23—1461no—
1666C23—1461no—
1667C23C2×D4×D7311yescharacteristic
1668C23C2×D4×D7311yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—2921no—
1672Q8—5841no—
1673Q8—1461no—
1674Q8—1461no—
1675D4—22no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—42no—
1683D4—81no—
1684D4—81no—
1685D4—81no—
1686D4—81no—
1687D4—81no—
1688D4—2922no—
1689D4—2922no—
1690D4—2922no—
1691D4—2922no—
1692D4—2921no—
1693D4—2922no—
1694D4—2922no—
1695D4—5841no—
1696D4—5841no—
1697D4—5841no—
1698D4—5841no—
1699D4—5841no—
1700D4—5841no—
1701D4—5841no—
1702D4—5841no—
1703D4—5841no—
1704D4—5841no—
1705D4—5841no—
1706D4—5841no—
1707D4—5841no—
1708D4—5841no—
1709D4—5841no—
1710D4—5841no—
1711D4—5841no—
1712D4—5841no—
1713D4—5841no—
1714D4—5841no—
1715D4—732no—
1716D4—1462no—
1717D4—1461no—
1718D4—1461no—
1719D4—1461no—
1720D4—1461no—
1721D4—1461no—
1722D4—1461no—
1723D4—1461no—
1724D4—1461no—
1725D4—1461no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—42no—
1736C2×C4—81no—
1737C2×C4—2922no—
1738C2×C4—2922no—
1739C2×C4—2921no—
1740C2×C4—5841no—
1741C2×C4—5841no—
1742C2×C4—5841no—
1743C2×C4—5841no—
1744C2×C4—5841no—
1745C2×C4—5841no—
1746C2×C4—5841no—
1747C2×C4—5841no—
1748C2×C4—5841no—
1749C2×C4—5841no—
1750C2×C4—5841no—
1751C2×C4—5841no—
1752C2×C4—5841no—
1753C2×C4—5841no—
1754C2×C4—731no—
1755C2×C4—731no—
1756C2×C4—731no—
1757C2×C4—731no—
1758C2×C4—731no—
1759C2×C4—731no—
1760C2×C4—731no—
1761C2×C4—1461no—
1762C2×C4—1461no—
1763C2×C4—1461no—
1764C2×C4—1462no—
1765C2×C4—1461no—
1766C2×C4—1461no—
1767C2×C4C2×D4×D7311yescharacteristic
1768C2×C4C2×D4×D7311yescharacteristic
1769C2×C4C2×D4×D7311yescharacteristic
1770C2×C4C2×D4×D7311yescharacteristic
1771C2×C4C24×D7311yescharacteristic
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—1461no—
1777C8—1461no—
1778C8—1461no—
1779C8—1461no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—162no—
1795C22—162no—
1796C22—2921no—
1797C22—2921no—
1798C22—2921no—
1799C22—2921no—
1800C22—2921no—
1801C22—2921no—
1802C22—2921no—
1803C22—2921no—
1804C22—2921no—
1805C22—2921no—
1806C22—2921no—
1807C22—2921no—
1808C22—2921no—
1809C22—2921no—
1810C22—5844no—
1811C22—11682no—
1812C22—11682no—
1813C22—11682no—
1814C22—1462no—
1815C22—1461no—
1816C22—1461no—
1817C22—1461no—
1818C22#1798939112yes—
1819C22C22×D4×D7311yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—2921no—
1830C4—2921no—
1831C4—2921no—
1832C4—1461no—
1833C4—1461no—
1834C4—1461no—
1835C4—1461no—
1836C4—1461no—
1837C4—1461no—
1838C4—1461no—
1839C4H(5,𝔽2)×D7311yescharacteristic
1840C4#1798942311yescharacteristic
1841C2—22no—
1842C2—41no—
1843C2—81no—
1844C2—81no—
1845C2—81no—
1846C2—2922no—
1847C2—2921no—
1848C2—5841no—
1849C2—5841no—
1850C2—5841no—
1851C2—5841no—
1852C2#2262359411yescharacteristic
1853C2C2×#1798939111yescharacteristic
1854C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3310C2
socleC22×C73C23×D4
hypercenter#3310D73
hypocenterC73#62007
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #22624256C2semidirect
2. #22623876C2semidirect
3. #22623020C2semidirect
4. #22622972C2semidirect
5. #22622682C2semidirect
6. #22622635C2semidirect
7. #22622073C2semidirect
8. #22621935C2semidirect
9. #22621888C2semidirect
10. #22621760C2semidirect
11. #22621742C2semidirect
12. #22621609C2semidirect
13. D4×#11924013C2semidirect
14. #22621478C2semidirect
15. #22621416C2semidirect
16. #22621415C2semidirect
17. #22621408C2semidirect
18. #22621369C2semidirect
19. #22621337C2semidirect
20. #22621279C2semidirect
21. #22621029C2semidirect
22. #22620982C2semidirect
23. #22620952C2semidirect
24. #22620170C2semidirect
25. #22620128C2semidirect
26. #22620066C2semidirect
27. #22619467C2semidirect
28. #22619433C2semidirect
29. C2×#17988781C2semidirect
30. #22619071C2semidirect
31. C73×#3310C2semidirect
32. C2×#14556619C22semidirect
33. C2×#14556618C22semidirect
34. C2×#14556612C22semidirect
35. C22×D584C22semidirect
36. C22×#11924013C22semidirect
37. C22×#11924013C22semidirect
40. #17989322C22semidirect
41. #17989320C22semidirect
42. #17989293C22semidirect
44. #17989281C22semidirect
47. #17989257C22semidirect
48. #17989255C22semidirect
49. #17989238C22semidirect
51. #17989231C22semidirect
53. #17989228C22semidirect
54. #17989228C22semidirect
56. D4×D292C22semidirect
57. #17989221C22semidirect
59. D4×C22⋊D73C22semidirect
60. #17989210C22semidirect
61. #17989193C22semidirect
62. #17989190C22semidirect
63. #17989188C22semidirect
67. #17989154C22semidirect
69. #17989150C22semidirect
72. C2×#14556587C22semidirect
73. #17989123C22semidirect
74. #17989118C22semidirect
78. #17989069C22semidirect
79. #17989061C22semidirect
80. C2×#14556553C22semidirect
81. #17988976C22semidirect
82. #17988973C22semidirect
83. #17988973C22semidirect
84. #17988973C22semidirect
85. #17988968C22semidirect
86. #17988963C22semidirect
87. #17988950C22semidirect
88. #17988950C22semidirect
89. #17988945C22semidirect
90. #17988944C22semidirect
91. #17988932C22semidirect
92. #17988917C22semidirect
93. #17988911C22semidirect
94. #17988904C22semidirect
95. #17988902C22semidirect
96. #17988897C22semidirect
97. #17988892C22semidirect
98. #17988890C22semidirect
99. #17988890C22semidirect
100. #17988889C22semidirect
101. #17988886C22semidirect
102. #17988884C22semidirect
103. #17988875C22semidirect
104. #17988866C22semidirect
105. #17988841C22semidirect
106. #17988840C22semidirect
107. #17988839C22semidirect
108. #17988826C22semidirect
109. #17988824C22semidirect
110. #17988822C22semidirect
112. #17988821C22semidirect
113. #17988818C22semidirect
114. #17988816C22semidirect
115. #17988812C22semidirect
116. #17988809C22semidirect
117. #17988807C22semidirect
118. #17988805C22semidirect
119. #17988804C22semidirect
120. #17988804C22semidirect
121. #17988803C22semidirect
122. #17988801C22semidirect
123. #17988801C22semidirect
124. #17988801C22semidirect
125. #17988801C22semidirect
126. #17988801C22semidirect
127. #17988785C22semidirect
128. #17988785C22semidirect
129. #17988783C22semidirect
130. #17988782C22semidirect
132. #17988781C22semidirect
133. #17988781C22semidirect
134. #17988781C22semidirect
135. #17988781C22semidirect
136. #17988781C22semidirect
137. #17988781C22semidirect
138. #17988781C22semidirect
139. #17988781C22semidirect
140. #17988781C22semidirect
141. #17988781C22semidirect
142. #17988781C22semidirect
143. #17988779C22semidirect
144. #17988747C22semidirect
145. #17988740C22semidirect
146. #17988737C22semidirect
147. #17988735C22semidirect
148. #17988734C22semidirect
149. #17988733C22semidirect
150. #17988733C22semidirect
151. #17988731C22semidirect
152. #17988723C22semidirect
153. #17988723C22semidirect
154. #17988722C22semidirect
155. #17988722C22semidirect
156. #17988721C22semidirect
157. #17988721C22semidirect
159. #17988720C22semidirect
160. #17988715C22semidirect
161. #17988714C22semidirect
162. #17988700C22semidirect
163. #17988698C22semidirect
164. #17988696C22semidirect
165. #17988696C22semidirect
166. #17988696C22semidirect
167. #17988686C22semidirect
168. #17988686C22semidirect
169. C4×#11924015C22semidirect
170. #17988669C22semidirect
171. C4×#11924013C22semidirect
172. #17988667C22semidirect
173. #17988658C22semidirect
174. #17988656C22semidirect
175. #17988655C22semidirect
176. D4×#10596831C22semidirect
177. #17988650C22semidirect
178. #17988649C22semidirect
179. #17988645C22semidirect
180. #17988641C22semidirect
181. #17988615C22semidirect
182. #17988612C22semidirect
183. C2×#14556520C22semidirect
184. #17988585C22semidirect
185. #17988581C22semidirect
186. C2×#14556511C22semidirect
187. #102×D73C22semidirect
188. #552×C73C22semidirect
190. #490×C73C22semidirect
191. #482×C73C22semidirect
192. #480×C73C22semidirect
193. #478×C73C22semidirect
194. #468×C73C22semidirect
195. #465×C73C22semidirect
196. #460×C73C22semidirect
197. #450×C73C22semidirect
198. #450×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #418×C73C22semidirect
202. C2×#102×C73C22semidirect
935. #3310D73semidirect
959. C73#62007semidirect
973. #552C2×D73semidirect
1019. #490C2×D73semidirect
1025. #482C2×D73semidirect
1028. #480C2×D73semidirect
1036. #478C2×D73semidirect
1042. #468C2×D73semidirect
1050. #465C2×D73semidirect
1065. #460C2×D73semidirect
1084. #450C2×D73semidirect
1085. #450C2×D73semidirect
1108. #440C2×D73semidirect
1116. #435C2×D73semidirect
1125. #418C2×D73semidirect
1130. C2×#102C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242562
#226238762
#226230202
#226229722
#226226822
#226226352
#226220732
#226219352
#226218882
#226217602
#226217422
#226216092
D4×#119240132
#226214782
#226214162
#226214152
#226214082
#226213692
#226213372
#226212792
#226210292
#226209822
#226209522
#226201702
#226201282
#226200662
#226194672
#226194332
C2×#179887812
#226190712
C73×#33102
#6200773