Finite Group Databasebeta

← #33972191

Subgroups — #33972191

Order 18688.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624201C211yesmaximal, characteristic, complemented
2#22623584C211yesmaximal, characteristic, complemented
3#22622120C211yesmaximal, characteristic, complemented
4#22622111C211yesmaximal, characteristic, complemented
5#22621994C211yesmaximal, characteristic, complemented
6#22621993C211yesmaximal, characteristic, complemented
7#22621877C211yesmaximal, characteristic, complemented
8#22621869C211yesmaximal, characteristic, complemented
9#22621868C211yesmaximal, characteristic, complemented
10#22621674C211yesmaximal, characteristic, complemented
11#22621669C211yesmaximal, characteristic, complemented
12#22621641C211yesmaximal, characteristic, complemented
13#22621640C211yesmaximal, characteristic, complemented
14#22621514C211yesmaximal, characteristic, complemented
15#22621512C211yesmaximal, characteristic, complemented
16#22621477C211yesmaximal, characteristic, complemented
17#22621468C211yesmaximal, characteristic, complemented
18#22621028C211yesmaximal, characteristic, complemented
19#22621022C211yesmaximal, characteristic, complemented
20#22620805C211yesmaximal, characteristic, complemented
21#22620791C211yesmaximal, characteristic, complemented
22#22620722C211yesmaximal, characteristic, complemented
23#22620718C211yesmaximal, characteristic, complemented
24#22620165C211yesmaximal, characteristic, complemented
25#22620156C211yesmaximal, characteristic, complemented
26#22619229C211yesmaximal, characteristic, complemented
27#22619214C211yesmaximal, characteristic, complemented
28#22619151C211yesmaximal, characteristic, complemented
29#22619146C211yesmaximal, characteristic, complemented
30#22618984C211yesmaximal, characteristic, complemented
31C73×#3305C211yesmaximal, characteristic, complemented
32C2×#14556638C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic, complemented
34C2×#14556621C2211yescharacteristic, complemented
35C2×#14556615C2211yescharacteristic, complemented
36C2×#14556613C2211yescharacteristic
37C2×#14556612C2211yescharacteristic
38C2×#14556611C2211yescharacteristic
39C2×#14556610C2211yescharacteristic
40C22×Dic292C2211yescharacteristic, complemented
41C2×SD16×D73C2211yescharacteristic, complemented
42#17989329—21no—
43#17989325—21no—
44#17989319—21no—
45#17989311C2211yescharacteristic, complemented
46#17989305C2211yescharacteristic, complemented
47#17989300C2211yescharacteristic, complemented
48#17989261—21no—
49#17989257—21no—
50#17989257C2211yescharacteristic
51#17989256C2211yescharacteristic, complemented
52#17989255—21no—
53#17989255C2211yescharacteristic
54#17989249C2211yescharacteristic
55#17989246—21no—
56#17989246C2211yescharacteristic, complemented
57#17989246C2211yescharacteristic, complemented
58#17989244C2211yescharacteristic
59#17989243—21no—
60#17989243C2211yescharacteristic, complemented
61#17989243C2211yescharacteristic, complemented
62#17989234C2211yescharacteristic, complemented
63#17989232C2211yescharacteristic, complemented
64#17989211C2211yescharacteristic
65#17989208—21no—
66#17989206—21no—
67#17989202C2211yescharacteristic
68#17989174—21no—
69#17989171—21no—
70#17989163C2211yescharacteristic
71#17989153—21no—
72#17989153C2211yescharacteristic
73#17989153C2211yescharacteristic
74#17989150—21no—
75#17989150C2211yescharacteristic, complemented
76#17989099C2211yescharacteristic
77#17989097—21no—
78#17989097C2211yescharacteristic
79#17989097C2211yescharacteristic, complemented
80#17989096—21no—
81#17989096C2211yescharacteristic
82#17989063C2211yescharacteristic, complemented
83#17988975C2211yescharacteristic, complemented
84#17988974C2211yescharacteristic, complemented
85#17988971C2211yescharacteristic, complemented
86#17988970C2211yescharacteristic, complemented
87#17988949C2211yescharacteristic, complemented
88#17988945C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988931C2211yescharacteristic, complemented
91#17988930C2211yescharacteristic, complemented
92#17988930C2211yescharacteristic, complemented
93#17988928C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic
95#17988914C2211yescharacteristic, complemented
96#17988911C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic
98#17988909C2211yescharacteristic, complemented
99#17988909C2211yescharacteristic, complemented
100#17988880C2211yescharacteristic, complemented
101#17988871C2211yescharacteristic, complemented
102#17988869C2211yescharacteristic, complemented
103#17988838C2211yescharacteristic, complemented
104#17988838C2211yescharacteristic, complemented
105#17988834C2211yescharacteristic, complemented
106#17988832C2211yescharacteristic, complemented
107#17988829C2211yescharacteristic, complemented
108#17988828C2211yescharacteristic, complemented
109#17988823C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic, complemented
111#17988817C2211yescharacteristic, complemented
112#17988817C2211yescharacteristic, complemented
113#17988815C2211yescharacteristic, complemented
114#17988815C2211yescharacteristic, complemented
115#17988814C2211yescharacteristic, complemented
116#17988814C2211yescharacteristic, complemented
117#17988810C2211yescharacteristic, complemented
118#17988810C2211yescharacteristic, complemented
119#17988809C2211yescharacteristic, complemented
120#17988808C2211yescharacteristic, complemented
121#17988808C2211yescharacteristic, complemented
122#17988807C2211yescharacteristic, complemented
123#17988802C2211yescharacteristic, complemented
124#17988801C2211yescharacteristic, complemented
125#17988786C2211yescharacteristic, complemented
126#17988784C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988751C2211yescharacteristic, complemented
130#17988751C2211yescharacteristic, complemented
131#17988750C2211yescharacteristic, complemented
132#17988750C2211yescharacteristic, complemented
133#17988750C2211yescharacteristic, complemented
134#17988750C2211yescharacteristic, complemented
135#17988750C2211yescharacteristic, complemented
136#17988750C2211yescharacteristic, complemented
137#17988749C2211yescharacteristic, complemented
138#17988744C2211yescharacteristic, complemented
139#17988744C2211yescharacteristic, complemented
140#17988744C2211yescharacteristic, complemented
141#17988744C2211yescharacteristic, complemented
142#17988739C2211yescharacteristic, complemented
143#17988739C2211yescharacteristic, complemented
144#17988735C2211yescharacteristic
145#17988733C2211yescharacteristic
146#17988733C2211yescharacteristic
147#17988732C2211yescharacteristic, complemented
148#17988730C2211yescharacteristic
149#17988730C2211yescharacteristic, complemented
150#17988729C2211yescharacteristic
151#17988729C2211yescharacteristic, complemented
152#17988728C2211yescharacteristic, complemented
153#17988728C2211yescharacteristic, complemented
154#17988727C2211yescharacteristic
155#17988725C2211yescharacteristic, complemented
156#17988725C2211yescharacteristic, complemented
157#17988724C2211yescharacteristic
158#17988722C2211yescharacteristic
159#17988722C2211yescharacteristic, complemented
160#17988719C2211yescharacteristic
161#17988719C2211yescharacteristic, complemented
162#17988692C2211yescharacteristic, complemented
163#17988691C2211yescharacteristic, complemented
164#17988687C2211yescharacteristic, complemented
165#17988686C2211yescharacteristic, complemented
166C4×Dic292C2211yescharacteristic, complemented
167#17988681C2211yescharacteristic, complemented
168#17988672C2211yescharacteristic, complemented
169#17988661C2211yescharacteristic, complemented
170#17988659C2211yescharacteristic, complemented
171#17988658C2211yescharacteristic, complemented
172#17988657C2211yescharacteristic, complemented
173C8×D292C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988647C2211yescharacteristic, complemented
177#17988646C2211yescharacteristic, complemented
178#17988595C2211yescharacteristic, complemented
179#17988594C2211yescharacteristic, complemented
180#17988582C2211yescharacteristic, complemented
181#17988581C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183#17988580C2211yescharacteristic, complemented
184#17988553C2211yescharacteristic
185#17988552C2211yescharacteristic
186C2×#14556503C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188#555×C73C2211yescharacteristic, complemented
189#550×C73C2211yescharacteristic, complemented
190#486×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#477×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic, complemented
195#466×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic
198#449×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203#14556638—42no—
204#14556638—42no—
205C2×#11924029C2311yescharacteristic
206C2×#11924028—21no—
207C2×#11924028—21no—
208C2×#11924028C2311yescharacteristic
209C2×#11924028C2311yescharacteristic
210C2×#11924028C2311yescharacteristic
211C2×#11924027—21no—
212C2×#11924027—21no—
213C2×#11924027—21no—
214C2×#11924027C2311yescharacteristic
215C2×#11924027C2311yescharacteristic
216C2×#11924027C2311yescharacteristic
217C2×#11924027C2311yescharacteristic
218#41×D73—42no—
219#41×D73—42no—
220C22×Dic146—21no—
221C22×Dic146C2311yescharacteristic
222C22×Dic146C2311yescharacteristic
223C2×Q8×D73C2311yescharacteristic
224C2×Q8×D73C2311yescharacteristic
225C2×D4×D73—21no—
226C2×D4×D73C2311yescharacteristic
227C2×D4×D73C2311yescharacteristic
228C22×C4×D73—21no—
229C22×C4×D73C2311yescharacteristic
230#14556621—42no—
231#14556615—42no—
232#14556613—42no—
233#14556612—42no—
234#14556611—42no—
235#14556610—42no—
236C2×Dic292—42no—
237C2×Dic292C2311yescharacteristic
238C2×Dic292C2311yescharacteristic
239C2×Dic292C2311yescharacteristic
240C2×Dic292C2311yescharacteristic
241C2×#11924018C2311yescharacteristic
242C2×#11924018C2311yescharacteristic
243C2×#11924017C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924016C2311yescharacteristic
248C2×#11924016C2311yescharacteristic
249C2×#11924016C2311yescharacteristic
250C2×#11924016C2311yescharacteristic
251C2×#11924016C2311yescharacteristic
252C2×#11924016C2311yescharacteristic
253C2×#11924015C2311yescharacteristic
254SD16×D73—42no—
255C2×D584C2311yescharacteristic
256C2×#11924013C2311yescharacteristic
257C2×#11924013C2311yescharacteristic
258C2×#11924013C2311yescharacteristic
259C2×#11924012C2311yescharacteristic
260C2×#11924011C2311yescharacteristic
261C22×#10596831C2311yescharacteristic
262C2×C8×D73C2311yescharacteristic
263C2×C8×D73C2311yescharacteristic
264C2×C8×D73C2311yescharacteristic
265#14556591—21no—
266#14556590C2311yescharacteristic
267#14556587—21no—
268#14556587—21no—
269#14556587—21no—
270#14556587—21no—
271#14556587—21no—
272#14556587C2311yescharacteristic
273#14556586—21no—
274#14556586—21no—
275#14556586—21no—
276#14556585—21no—
277#14556584—21no—
278#14556584—21no—
279#14556580—21no—
280#14556580—21no—
281#14556579—21no—
282#14556579—21no—
283#14556579—21no—
284#14556579C2311yescharacteristic
285#14556579C2311yescharacteristic
286#14556578—21no—
287#14556578C2311yescharacteristic
288#14556578C2311yescharacteristic
289#14556577—21no—
290#14556577—21no—
291#14556577—21no—
292#14556577—21no—
293#14556577—21no—
294#14556577—21no—
295#14556577—21no—
296#14556577—21no—
297#14556577—21no—
298#14556576—21no—
299#14556576D411yescharacteristic
300#14556575—21no—
301#14556575—21no—
302#14556575—21no—
303#14556575—21no—
304#14556574—21no—
305#14556573—21no—
306#14556573—21no—
307#14556573—21no—
308#14556573D411yescharacteristic
309#14556571—21no—
310#14556571C2311yescharacteristic
311#14556571C2311yescharacteristic
312#14556571C2311yescharacteristic
313#14556571C2311yescharacteristic
314#14556571C2311yescharacteristic
315#14556571C2311yescharacteristic
316#14556570—21no—
317#14556570—21no—
318#14556570C2311yescharacteristic
319#14556570C2311yescharacteristic
320#14556569—21no—
321#14556569—21no—
322#14556569D411yescharacteristic
323#14556568—21no—
324#14556568—21no—
325#14556568D411yescharacteristic
326#14556567—21no—
327#14556566—21no—
328#14556566C2311yescharacteristic
329#14556566C2311yescharacteristic
330#14556566C2311yescharacteristic
331#14556565—21no—
332#14556565—21no—
333#14556565C2311yescharacteristic
334#14556565C2311yescharacteristic
335#14556564—21no—
336#14556564—21no—
337#14556564D411yescharacteristic
338#14556563—21no—
339#14556563—21no—
340#14556563—21no—
341#14556563—21no—
342#14556563—21no—
343#14556563—21no—
344#14556563—21no—
345#14556563—21no—
346#14556563—21no—
347#14556563D411yescharacteristic
348#14556562—21no—
349#14556562—21no—
350#14556562—21no—
351#14556562C2311yescharacteristic
352#14556562C2311yescharacteristic
353#14556562C2311yescharacteristic
354#14556561—21no—
355#14556561—21no—
356#14556561—21no—
357#14556561—21no—
358#14556561D411yescharacteristic
359#14556559—21no—
360#14556559—21no—
361#14556559—21no—
362#14556559—21no—
363#14556559—21no—
364#14556559—21no—
365#14556559—21no—
366#14556559D411yescharacteristic
367Q8×Dic73—21no—
368Q8×Dic73C2311yescharacteristic
369C4×Dic146—21no—
370C4×Dic146—21no—
371C4×Dic146C2311yescharacteristic
372C4×Dic146C2311yescharacteristic
373#14556556—21no—
374#14556556C2311yescharacteristic
375#14556556C2311yescharacteristic
376C4×D292—21no—
377C4×D292—21no—
378C4×D292—21no—
379C4×D292C2311yescharacteristic
380D4×Dic73—21no—
381D4×Dic73—21no—
382D4×Dic73—21no—
383D4×Dic73—21no—
384D4×Dic73—21no—
385#14556553C2311yescharacteristic
386C4×C22⋊D73—21no—
387C4×C22⋊D73—21no—
388C4×C22⋊D73C2311yescharacteristic
389C4×C22⋊D73C2311yescharacteristic
390#14556551—21no—
391#14556551—21no—
392#14556551—21no—
393#14556551—21no—
394#14556551—21no—
395#14556549—21no—
396#14556549C2311yescharacteristic
397#14556549C2311yescharacteristic
398#14556549C2311yescharacteristic
399#14556548—21no—
400#14556548—21no—
401#14556548C2311yescharacteristic
402C2×#11924005—21no—
403C22⋊C4×D73—21no—
404#14556525C2311yescharacteristic
405#14556524C2311yescharacteristic
406#14556522C2311yescharacteristic
407#14556522C2311yescharacteristic
408#14556522C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556520C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556516C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444#14556502C2311yescharacteristic
445#14556501C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C22×C8×C73C2311yescharacteristic
453C22×C8×C73C2311yescharacteristic
454C4⋊Q8×C73C2311yescharacteristic
455#127×C73—21no—
456#127×C73C2311yescharacteristic
457#124×C73—21no—
458#124×C73—21no—
459#121×C73—21no—
460#121×C73—21no—
461#121×C73—21no—
462#121×C73C2311yescharacteristic
463#121×C73C2311yescharacteristic
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466C4×Q8×C73C2311yescharacteristic
467C4×D4×C73—21no—
468C4×D4×C73C2311yescharacteristic
469C4×D4×C73C2311yescharacteristic
470#117×C73—21no—
471#117×C73C2311yescharacteristic
472#117×C73C2311yescharacteristic
473#107×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475#106×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C4×C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73C2×D411yescharacteristic
493#11924029—22no—
494#11924029—41no—
495#11924028—22no—
496#11924028—41no—
497#11924028—44no—
498#11924028—41no—
499#11924028—41no—
500#11924028—41no—
501#11924028—41no—
502#11924028—44no—
503#11924027—22no—
504#11924027—22no—
505#11924027—41no—
506#11924027—41no—
507#11924027—41no—
508#11924027—41no—
509#11924027—41no—
510#11924027—41no—
511#11924027—44no—
512#11924027—44no—
513#11924027—44no—
514C2×Dic146—21no—
515C2×Dic146—22no—
516C2×Dic146—21no—
517C2×Dic146—21no—
518C2×Dic146—21no—
519C2×Dic146—21no—
520C2×Dic146—41no—
521C2×Dic146—41no—
522C2×Dic146—41no—
523C2×Dic146—44no—
524C2×Dic146C2×D411yescharacteristic
525C2×Dic146C2411yescharacteristic
526C2×Dic146C2411yescharacteristic
527C2×Dic146C2411yescharacteristic
528C2×Dic146C2411yescharacteristic
529Q8×D73—22no—
530Q8×D73—22no—
531Q8×D73—22no—
532Q8×D73—41no—
533C2×D292—21no—
534C2×D292—21no—
535C2×D292—21no—
536C2×D292—21no—
537C2×D292C2×D411yescharacteristic
538C2×D292C2×D411yescharacteristic
539C2×D292C2411yescharacteristic
540C2×D292C2411yescharacteristic
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73—21no—
553C2×C22⋊D73—21no—
554C2×C22⋊D73—21no—
555C2×C22⋊D73—21no—
556C2×C22⋊D73C2×D411yescharacteristic
557C2×C22⋊D73C2×D411yescharacteristic
558C2×C22⋊D73C2×D411yescharacteristic
559C2×C22⋊D73C2×D411yescharacteristic
560D4×D73—41no—
561D4×D73—41no—
562D4×D73—41no—
563D4×D73—41no—
564D4×D73—44no—
565C22×Dic73—21no—
566C22×Dic73—21no—
567C22×Dic73—21no—
568C22×Dic73—21no—
569C22×Dic73—21no—
570C22×Dic73—21no—
571C22×Dic73C2×D411yescharacteristic
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—21no—
578C2×C4×D73—41no—
579C2×C4×D73—41no—
580C2×C4×D73—44no—
581C2×C4×D73C2×D411yescharacteristic
582C2×C4×D73C2×D411yescharacteristic
583C2×C4×D73C2411yescharacteristic
584C2×C4×D73C2411yescharacteristic
585C2×C4×D73C2411yescharacteristic
586Dic292—22no—
587Dic292—22no—
588Dic292—41no—
589Dic292—41no—
590#11924018—22no—
591#11924018—22no—
592#11924017—22no—
593#11924017—41no—
594#11924017—41no—
595#11924017—41no—
596#11924016—22no—
597#11924016—41no—
598#11924016—41no—
599#11924016—41no—
600#11924016—41no—
601#11924016—41no—
602#11924015—22no—
603D584—41no—
604#11924013—41no—
605#11924013—41no—
606#11924013—41no—
607#11924012—41no—
608#11924011—41no—
609C2×#10596831—41no—
610C2×#10596831C2411yescharacteristic
611C2×#10596831C2411yescharacteristic
612C2×#10596831C2411yescharacteristic
613C2×#10596831C2411yescharacteristic
614C8×D73—41no—
615C8×D73—41no—
616C8×D73—41no—
617C4⋊Dic73—21no—
618C4⋊Dic73—21no—
619C4⋊Dic73—21no—
620C4⋊Dic73—21no—
621C4⋊Dic73—21no—
622C4⋊Dic73—21no—
623C4⋊Dic73—21no—
624C4⋊Dic73C2×D411yescharacteristic
625C4⋊Dic73C2411yescharacteristic
626C4⋊Dic73C2411yescharacteristic
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007C2×D411yescharacteristic
635#11924007C2×D411yescharacteristic
636#11924007C2×D411yescharacteristic
637#11924007C2×D411yescharacteristic
638C22⋊Dic73—21no—
639C22⋊Dic73—21no—
640C22⋊Dic73—21no—
641C22⋊Dic73—21no—
642C22⋊Dic73—21no—
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73C2×D411yescharacteristic
648C22⋊Dic73C2×D411yescharacteristic
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005C2×D411yescharacteristic
669#11924005C2×D411yescharacteristic
670#11924005C2×D411yescharacteristic
671#11924005C2×D411yescharacteristic
672#11924005C2×D411yescharacteristic
673#11924005C2×D411yescharacteristic
674C4×Dic73—21no—
675C4×Dic73—21no—
676C4×Dic73—21no—
677C4×Dic73—21no—
678C4×Dic73—21no—
679C4×Dic73—21no—
680C4×Dic73—21no—
681C4×Dic73—21no—
682C4×Dic73C2411yescharacteristic
683#41×C73—22no—
684#41×C73—22no—
685#41×C73—41no—
686#41×C73—41no—
687C2×Q8×C73—21no—
688C2×Q8×C73C2411yescharacteristic
689C2×D4×C73—21no—
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73C2×D411yescharacteristic
698C2×D4×C73C2411yescharacteristic
699C2×D4×C73C2411yescharacteristic
700C2×D4×C73C2411yescharacteristic
701C22×C4×C73—21no—
702C22×C4×C73—21no—
703C22×C4×C73—21no—
704C22×C4×C73C2411yescharacteristic
705C22×C4×C73C2411yescharacteristic
706SD16×C73—22no—
707D8×C73—41no—
708D8×C73—41no—
709C2×C8×C73—41no—
710C2×C8×C73—41no—
711C2×C8×C73C2411yescharacteristic
712C2×C8×C73C2411yescharacteristic
713C2×C8×C73C2411yescharacteristic
714C2×C8×C73C2411yescharacteristic
715C4⋊C4×C73—21no—
716C4⋊C4×C73—21no—
717C4⋊C4×C73C2×D411yescharacteristic
718C4⋊C4×C73C2411yescharacteristic
719C4⋊C4×C73C2411yescharacteristic
720C4⋊C4×C73C2411yescharacteristic
721C4⋊C4×C73C2411yescharacteristic
722C22⋊C4×C73—21no—
723C22⋊C4×C73—21no—
724C22⋊C4×C73—21no—
725C22⋊C4×C73—21no—
726C22⋊C4×C73—21no—
727C22⋊C4×C73—21no—
728C22⋊C4×C73—21no—
729C22⋊C4×C73C2×D411yescharacteristic
730C22⋊C4×C73C2×D411yescharacteristic
731C42×C73—21no—
732C42×C73—21no—
733C42×C73—21no—
734C42×C73C2411yescharacteristic
735C23×C73—21no—
736C23×C73—21no—
737C23×C73—21no—
738C23×C73C22×D411yescharacteristic
739C23×C73C22×D411yescharacteristic
740C22×D73—21no—
741C22×D73—21no—
742C22×D73—41no—
743C22×D73—41no—
744C22×D73—41no—
745C22×D73—42no—
746C22×D73—81no—
747C22×D73—81no—
748C22×D73—81no—
749C22×D73—81no—
750C22×D73—81no—
751C22×D73C22×D411yescharacteristic
752C22×D73C22×D411yescharacteristic
753C22×D73C22×D411yescharacteristic
754Q8×C73—21no—
755Q8×C73—81no—
756Q8×C73H(5,𝔽2)12yes—
757D4×C73—21no—
758D4×C73—21no—
759D4×C73—21no—
760D4×C73—21no—
761D4×C73—21no—
762D4×C73—21no—
763D4×C73—41no—
764D4×C73—42no—
765D4×C73—42no—
766D4×C73—81no—
767D4×C73—81no—
768D4×C73—81no—
769D4×C73—81no—
770D4×C73—81no—
771D4×C73—81no—
772C2×C4×C73—21no—
773C2×C4×C73—21no—
774C2×C4×C73—21no—
775C2×C4×C73—21no—
776C2×C4×C73—21no—
777C2×C4×C73—21no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—42no—
782C2×C4×C73—42no—
783C2×C4×C73—81no—
784C2×C4×C73C22×D411yescharacteristic
785C2×C4×C73C22×D411yescharacteristic
786C2×C4×C73C22×D411yescharacteristic
787C2×C4×C73C22×D411yescharacteristic
788C2×C4×C73C2511yescharacteristic
789C22⋊D73—41no—
790C22⋊D73—41no—
791C22⋊D73—41no—
792C22⋊D73—41no—
793C22⋊D73—42no—
794C22⋊D73—42no—
795C22⋊D73—42no—
796C22⋊D73—42no—
797C22⋊D73—42no—
798C22⋊D73—81no—
799C22⋊D73—81no—
800C22⋊D73—81no—
801C22⋊D73—81no—
802C22⋊D73—81no—
803C22⋊D73—81no—
804C22⋊D73—81no—
805C22⋊D73—81no—
806C22⋊D73—81no—
807C22⋊D73—81no—
808C2×Dic73—21no—
809C2×Dic73—21no—
810C2×Dic73—21no—
811C2×Dic73—21no—
812C2×Dic73—21no—
813C2×Dic73—21no—
814C2×Dic73—41no—
815C2×Dic73—42no—
816C2×Dic73—42no—
817C2×Dic73—42no—
818C2×Dic73—42no—
819C2×Dic73—81no—
820C2×Dic73—81no—
821C2×Dic73C22×D411yescharacteristic
822C2×Dic73C22×D411yescharacteristic
823C2×Dic73C22×D411yescharacteristic
824C2×Dic73C22×D411yescharacteristic
825C2×Dic73C22×D411yescharacteristic
826D292—21no—
827D292—21no—
828D292—21no—
829D292—21no—
830D292—41no—
831D292—41no—
832D292—42no—
833D292—81no—
834D292—81no—
835D292—81no—
836C4×D73—24no—
837C4×D73—21no—
838C4×D73—21no—
839C4×D73—21no—
840C4×D73—21no—
841C4×D73—21no—
842C4×D73—21no—
843C4×D73—41no—
844C4×D73—41no—
845C4×D73—42no—
846C4×D73—42no—
847C4×D73—42no—
848C4×D73—81no—
849C4×D73—81no—
850Dic146—24no—
851Dic146—21no—
852Dic146—21no—
853Dic146—21no—
854Dic146—21no—
855Dic146—21no—
856Dic146—21no—
857Dic146—21no—
858Dic146—41no—
859Dic146—42no—
860Dic146—42no—
861Dic146—81no—
862Dic146—81no—
863Dic146H(5,𝔽2)12yes—
864C8×C73—21no—
865C8×C73—21no—
866C8×C73—21no—
867C8×C73—21no—
868#10596831—21no—
869#10596831—21no—
870#10596831—21no—
871#10596831—21no—
872C22×C73—21no—
873C22×C73—21no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—21no—
877C22×C73—21no—
878C22×C73—41no—
879C22×C73—41no—
880C22×C73—41no—
881C22×C73—41no—
882C22×C73—41no—
883C22×C73—41no—
884C22×C73—41no—
885C22×C73—41no—
886C22×C73—41no—
887C22×C73C23×D411yescharacteristic
888C2×D73—21no—
889C2×D73—21no—
890C2×D73—21no—
891C2×D73—21no—
892C2×D73—21no—
893C2×D73—21no—
894C2×D73—21no—
895C2×D73—21no—
896C2×D73—21no—
897C2×D73—41no—
898C2×D73—41no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—82no—
904C2×D73—84no—
905C2×D73—162no—
906C4×C73—21no—
907C4×C73—21no—
908C4×C73—22no—
909C4×C73—21no—
910C4×C73—21no—
911C4×C73—41no—
912C4×C73—41no—
913C4×C73—41no—
914C4×C73—41no—
915C4×C73C2×H(5,𝔽2)11yescharacteristic
916C4×C73C2×H(5,𝔽2)11yescharacteristic
917Dic73—21no—
918Dic73—21no—
919Dic73—21no—
920Dic73—22no—
921Dic73—21no—
922Dic73—21no—
923Dic73—41no—
924Dic73—41no—
925Dic73—41no—
926Dic73—41no—
927Dic73—41no—
928#61638—731nomaximal, Sylow
929C2×C73—41no—
930C2×C73—41no—
931C2×C73—81no—
932C2×C73—81no—
933C2×C73—81no—
934C2×C73#348411yescharacteristic
935C2×C73#358411yescharacteristic
936C2×C73#358411yescharacteristic
937D73—41no—
938D73—41no—
939D73—41no—
940D73—81no—
941D73—81no—
942#3540—731no—
943#3487—731no—
944#3321—731no—
945#3321—731no—
946#3313—731no—
947#3313—731no—
948#3305—731no—
949#3305D7311yescharacteristic, complemented
950#3304—731no—
951#3304—731no—
952#3285—731no—
953#3285—731no—
954#3282—731no—
955#3282—731no—
956#3271—731no—
957#3271—731no—
958#3268—731no—
959#3268—731no—
960#3224—731no—
961#3224—731no—
962#3200—731no—
963#3199—731no—
964#3191—731no—
965#3191—731no—
966#3121—731no—
967#3121—731no—
968#3011—731no—
969#3010—731no—
970#3002—731no—
971#3002—731no—
972#2977—731no—
973C73#6163811yescharacteristic, complemented, Sylow
974C2×2−1+4—731no—
975C22×#41—731no—
976C2×#137—731no—
977C2×AGL(1,ℤ/8)—731no—
978C2×#135—731no—
979C2×#135—731no—
980C2×#135—731no—
981C2×#135—731no—
982C22×Q16—731no—
983C22×SD16—731no—
984H(3,𝔽4)—1461no—
985#560—1461no—
986#559—1461no—
987#556—731no—
988#556—731no—
989#555—731no—
990#555C2×D7311yescharacteristic, complemented
991#551—1461no—
992#550—731no—
993#550—731no—
994#550—731no—
995#550—1461no—
996#550—1461no—
997#550C2×D7311yescharacteristic, complemented
998#548—731no—
999#548—731no—
1000#548—731no—
1001#548—731no—
1002#548—731no—
1003#548—731no—
1004#548—1461no—
1005#548—1461no—
1006#546—731no—
1007#546—731no—
1008#542—731no—
1009#542—731no—
1010#542—1461no—
1011#542—1461no—
1012#538—1461no—
1013#538—1461no—
1014#536—731no—
1015#535—731no—
1016#535—731no—
1017#535—731no—
1018#535—1461no—
1019#535—1461no—
1020#525—731no—
1021#525—731no—
1022#525—731no—
1023#525—731no—
1024#525—1461no—
1025#525—1461no—
1026#519—731no—
1027#496—731no—
1028#496—731no—
1029#495—731no—
1030#495—731no—
1031#489—731no—
1032#489—731no—
1033#486—731no—
1034#486C2×D7311yescharacteristic, complemented
1035#485—731no—
1036#485—731no—
1037#485—731no—
1038#485—731no—
1039#482—731no—
1040#482—731no—
1041#482—731no—
1042#482—731no—
1043#482—731no—
1044#482—731no—
1045#482C2×D7311yescharacteristic, complemented
1046#482C2×D7311yescharacteristic, complemented
1047#477—731no—
1048#477C2×D7311yescharacteristic, complemented
1049#475—731no—
1050#475—731no—
1051#469—731no—
1052#469—731no—
1053#468—731no—
1054#468—731no—
1055#467—731no—
1056#467—731no—
1057#466—731no—
1058#466—731no—
1059#466C2×D7311yescharacteristic, complemented
1060#466C2×D7311yescharacteristic, complemented
1061#465—731no—
1062#465—731no—
1063#465—731no—
1064#465—731no—
1065#465—731no—
1066#465—731no—
1067#464—731no—
1068#464—731no—
1069#464—731no—
1070#464—731no—
1071#464—731no—
1072#464—731no—
1073#463—731no—
1074#463—731no—
1075#460—731no—
1076#460—731no—
1077#459—731no—
1078#459C2×D7311yescharacteristic, complemented
1079#452—731no—
1080#452—731no—
1081#452—731no—
1082#452—731no—
1083#452—731no—
1084#452—731no—
1085#452—731no—
1086#452—731no—
1087#452—731no—
1088#452—731no—
1089#451—731no—
1090#451—731no—
1091#451—731no—
1092#451—731no—
1093#450—731no—
1094#450—731no—
1095#449—731no—
1096#449—731no—
1097#449—731no—
1098#449—731no—
1099#449—731no—
1100#449—731no—
1101#449—731no—
1102#449—731no—
1103#449C2×D7311yescharacteristic
1104#449C2×D7311yescharacteristic, complemented
1105#448—731no—
1106#448—731no—
1107#448—731no—
1108#448—731no—
1109#448—731no—
1110#448—731no—
1111#447—731no—
1112#447—731no—
1113#447—731no—
1114#447—731no—
1115#441—731no—
1116#441—731no—
1117#440—731no—
1118#440—731no—
1119C4×Q16—731no—
1120C4×Q16—731no—
1121C4×SD16—731no—
1122C4×SD16C2×D7311yescharacteristic, complemented
1123#435—731no—
1124#435—731no—
1125#435—731no—
1126#435—731no—
1127C8×D4—731no—
1128C8×D4—731no—
1129C8×D4—731no—
1130C8×D4C2×D7311yescharacteristic, complemented
1131#433—731no—
1132#433—731no—
1133#419—731no—
1134#419—731no—
1135#416—731no—
1136#416—731no—
1137#416—731no—
1138#416—731no—
1139#416C2×D7311yescharacteristic, complemented
1140#416C2×D7311yescharacteristic, complemented
1141#408—731no—
1142#408—731no—
1143C2×C22⋊C8—731no—
1144C2×C22⋊C8—731no—
11452−1+4—2922no—
11462−1+4—2922no—
1147C2×#41—2922no—
1148C2×#41—2922no—
1149C2×#41—731no—
1150C2×#41—731no—
1151C2×#41—731no—
1152C2×#41—731no—
1153C2×#41—731no—
1154C2×#41—731no—
1155C2×#41—731no—
1156C2×#41—731no—
1157C2×#41—1461no—
1158C2×#41—1461no—
1159C2×#41—1461no—
1160C2×#41—1461no—
1161C2×#41—1461no—
1162C2×#41C22×D7311yescharacteristic
1163C2×#41C22×D7311yescharacteristic
1164C22×Q8—731no—
1165C22×Q8—731no—
1166C22×Q8—731no—
1167C22×Q8—731no—
1168C22×Q8—1461no—
1169C22×D4—731no—
1170C22×D4—731no—
1171C22×D4—1461no—
1172C23×C4—731no—
1173C23×C4—1461no—
1174#137—2922no—
1175AGL(1,ℤ/8)—2922no—
1176#135—2922no—
1177#135—2922no—
1178#135—2922no—
1179#135—2922no—
1180C2×Q16—2922no—
1181C2×Q16—731no—
1182C2×Q16—731no—
1183C2×Q16—731no—
1184C2×Q16—731no—
1185C2×Q16—731no—
1186C2×Q16—731no—
1187C2×SD16—2922no—
1188C2×SD16—731no—
1189C2×SD16—731no—
1190C2×SD16—731no—
1191C2×SD16—731no—
1192C2×SD16—731no—
1193C2×SD16—731no—
1194C2×SD16—731no—
1195C2×SD16—731no—
1196C2×SD16—731no—
1197C2×SD16—731no—
1198C2×SD16—731no—
1199C2×SD16C22×D7311yescharacteristic
1200C2×D8—731no—
1201C2×D8—731no—
1202C2×D8—731no—
1203C2×D8—731no—
1204C2×D8C22×D7311yescharacteristic
1205C2×D8C22×D7311yescharacteristic
1206C2×M16—731no—
1207C2×M16—731no—
1208C22×C8—731no—
1209C22×C8—731no—
1210C22×C8—731no—
1211C22×C8—731no—
1212C22×C8C22×D7311yescharacteristic
1213C22×C8C22×D7311yescharacteristic
1214C4⋊Q8—731no—
1215C4⋊Q8—1461no—
1216C4⋊Q8C22×D7311yescharacteristic
1217#127—21no—
1218#127—731no—
1219#127—1461no—
1220#127—1461no—
1221#127—1461no—
1222#127—1461no—
1223#127—1461no—
1224#127C22×D7311yescharacteristic
1225#126—1461no—
1226#126—1461no—
1227#126—1461no—
1228#126—1461no—
1229#126—1461no—
1230#126—1461no—
1231#124—21no—
1232#124—21no—
1233#124—731no—
1234#124—731no—
1235#124—731no—
1236#124—731no—
1237#124—1461no—
1238#124—1461no—
1239#124—1461no—
1240#124—1461no—
1241#124—1461no—
1242#124—1461no—
1243#124—1461no—
1244#124—1461no—
1245#124—1461no—
1246#124—1461no—
1247#124—1461no—
1248#124—1461no—
1249#124—1461no—
1250#124—1461no—
1251#124—1461no—
1252#123—731no—
1253#123—731no—
1254#123—1461no—
1255#123—1461no—
1256#123—1461no—
1257#123—1461no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261#123—1461no—
1262#123—1461no—
1263C22⋊Q8—731no—
1264C22⋊Q8—731no—
1265C22⋊Q8—731no—
1266C22⋊Q8—731no—
1267C22⋊Q8—731no—
1268C22⋊Q8—731no—
1269C22⋊Q8—731no—
1270C22⋊Q8—731no—
1271C22⋊Q8—731no—
1272C22⋊Q8—731no—
1273C22⋊Q8—1461no—
1274C22⋊Q8—1461no—
1275C22⋊Q8—1461no—
1276C22⋊Q8—1461no—
1277C22⋊Q8—1461no—
1278C22⋊Q8—1461no—
1279C22⋊Q8—1461no—
1280C22⋊Q8—1461no—
1281#121—21no—
1282#121—21no—
1283#121—21no—
1284#121—731no—
1285#121—731no—
1286#121—731no—
1287#121—731no—
1288#121—731no—
1289#121—731no—
1290#121—731no—
1291#121—731no—
1292#121—731no—
1293#121—731no—
1294#121—1461no—
1295#121—1461no—
1296#121—1461no—
1297#121—1461no—
1298#121—1461no—
1299#121—1461no—
1300#121—1461no—
1301#121—1461no—
1302#121—1461no—
1303#121—1461no—
1304#121—1461no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121C22×D7311yescharacteristic
1312#121C22×D7311yescharacteristic
1313#121C22×D7311yescharacteristic
1314#121C22×D7311yescharacteristic
1315#120—731no—
1316#120—731no—
1317#120—1461no—
1318#120—1461no—
1319#120—1461no—
1320#120—1461no—
1321#120—1461no—
1322#120—1461no—
1323#120—1461no—
1324#120—1461no—
1325#120—1461no—
1326#120—1461no—
1327#120—1461no—
1328C4×Q8—731no—
1329C4×Q8—731no—
1330C4×Q8—731no—
1331C4×Q8—731no—
1332C4×Q8—731no—
1333C4×Q8—1461no—
1334C4×Q8—1461no—
1335C4×Q8—1461no—
1336C4×Q8—1461no—
1337C4×Q8C22×D7311yescharacteristic
1338C4×D4—21no—
1339C4×D4—731no—
1340C4×D4—731no—
1341C4×D4—731no—
1342C4×D4—731no—
1343C4×D4—1461no—
1344C4×D4—1461no—
1345C4×D4—1461no—
1346C4×D4—1461no—
1347C4×D4—1461no—
1348C4×D4—1461no—
1349C4×D4—1461no—
1350C4×D4—1461no—
1351C4×D4—1461no—
1352C4×D4—1461no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4C22×D7311yescharacteristic
1359C4×D4C22×D7311yescharacteristic
1360#117—21no—
1361#117—731no—
1362#117—731no—
1363#117—731no—
1364#117—731no—
1365#117—1461no—
1366#117—1461no—
1367#117—1461no—
1368#117C22×D7311yescharacteristic
1369#117C22×D7311yescharacteristic
1370C2×C22⋊C4—1461no—
1371C2×C22⋊C4—1461no—
1372#107—731no—
1373#107—731no—
1374#107C22×D7311yescharacteristic
1375#107C22×D7311yescharacteristic
1376#106—731no—
1377#106—731no—
1378#106—731no—
1379#106C22×D7311yescharacteristic
1380C4⋊C8—731no—
1381C4⋊C8—731no—
1382C4⋊C8—731no—
1383C4⋊C8C22×D7311yescharacteristic
1384#103—731no—
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103—731no—
1390#103—731no—
1391#103—731no—
1392#103—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103C22×D7311yescharacteristic
1398#103C22×D7311yescharacteristic
1399#103C22×D7311yescharacteristic
1400#102—731no—
1401#102—731no—
1402#102—731no—
1403#102—731no—
1404#102—731no—
1405#102—731no—
1406#102—731no—
1407#102—731no—
1408#102—731no—
1409#102C22×D7311yescharacteristic
1410#102C22×D7311yescharacteristic
1411#102C22×D7311yescharacteristic
1412#102C22×D7311yescharacteristic
1413#102C22×D7311yescharacteristic
1414#102C22×D7311yescharacteristic
1415#102C22×D7311yescharacteristic
1416C22⋊C8—731no—
1417C22⋊C8—731no—
1418C22⋊C8—731no—
1419C22⋊C8—731no—
1420C22⋊C8—731no—
1421C22⋊C8—731no—
1422C22⋊C8—731no—
1423C22⋊C8—731no—
1424C22⋊C8—731no—
1425C22⋊C8—731no—
1426C22⋊C8C22×D7311yescharacteristic
1427C22⋊C8C22×D7311yescharacteristic
1428#97—731no—
1429#97—731no—
1430C4×C8—731no—
1431C4×C8C22×D7311yescharacteristic
1432C24—731no—
1433C24—1461no—
1434C24—1461no—
1435#41—22no—
1436#41—22no—
1437#41—41no—
1438#41—41no—
1439#41—2921no—
1440#41—2921no—
1441#41—2921no—
1442#41—2921no—
1443#41—2921no—
1444#41—2924no—
1445#41—2924no—
1446#41—2924no—
1447#41—2924no—
1448#41—2921no—
1449#41—2921no—
1450#41—2921no—
1451#41—2921no—
1452#41—2924no—
1453#41—2921no—
1454#41—2921no—
1455#41—2921no—
1456#41—1462no—
1457#41—1462no—
1458#41—1462no—
1459#41—1462no—
1460C2×Q8—21no—
1461C2×Q8—2921no—
1462C2×Q8—2921no—
1463C2×Q8—2921no—
1464C2×Q8—2924no—
1465C2×Q8—2921no—
1466C2×Q8—731no—
1467C2×Q8—731no—
1468C2×Q8—731no—
1469C2×Q8—731no—
1470C2×Q8—731no—
1471C2×Q8—1462no—
1472C2×Q8—1461no—
1473C2×Q8—1461no—
1474C2×Q8—1461no—
1475C2×Q8—1462no—
1476C2×Q8—1462no—
1477C2×Q8—1462no—
1478C2×Q8—1461no—
1479C2×Q8—1461no—
1480C2×Q8C23×D7311yescharacteristic
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—2921no—
1490C2×D4—2921no—
1491C2×D4—2921no—
1492C2×D4—2921no—
1493C2×D4—2924no—
1494C2×D4—731no—
1495C2×D4—731no—
1496C2×D4—731no—
1497C2×D4—731no—
1498C2×D4—731no—
1499C2×D4—731no—
1500C2×D4—731no—
1501C2×D4—731no—
1502C2×D4—1461no—
1503C2×D4—1461no—
1504C2×D4—1461no—
1505C2×D4—1461no—
1506C2×D4—1461no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4D4×D7311yescharacteristic
1522C2×D4C23×D7311yescharacteristic
1523C2×D4C23×D7311yescharacteristic
1524C2×D4C23×D7311yescharacteristic
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—2921no—
1529C22×C4—2921no—
1530C22×C4—2924no—
1531C22×C4—731no—
1532C22×C4—731no—
1533C22×C4—731no—
1534C22×C4—731no—
1535C22×C4—731no—
1536C22×C4—731no—
1537C22×C4—1461no—
1538C22×C4—1461no—
1539C22×C4—1461no—
1540C22×C4—1461no—
1541C22×C4—1461no—
1542C22×C4—1461no—
1543C22×C4—1461no—
1544C22×C4—1461no—
1545C22×C4—1461no—
1546C22×C4—1461no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4C23×D7311yescharacteristic
1550C22×C4C23×D7311yescharacteristic
1551Q16—2921no—
1552Q16—2921no—
1553Q16—1462no—
1554Q16—1462no—
1555Q16—1462no—
1556Q16—1462no—
1557SD16—22no—
1558SD16—2921no—
1559SD16—2921no—
1560SD16—2921no—
1561SD16—2921no—
1562SD16—2921no—
1563SD16—2921no—
1564SD16—2921no—
1565SD16—2921no—
1566SD16—1462no—
1567SD16—1462no—
1568SD16—1462no—
1569D8—41no—
1570D8—41no—
1571D8—2921no—
1572D8—2921no—
1573D8—2921no—
1574D8—2921no—
1575M16—2921no—
1576M16—2921no—
1577C2×C8—41no—
1578C2×C8—41no—
1579C2×C8—2921no—
1580C2×C8—2921no—
1581C2×C8—2921no—
1582C2×C8—2921no—
1583C2×C8—731no—
1584C2×C8—731no—
1585C2×C8—731no—
1586C2×C8—731no—
1587C2×C8C23×D7311yescharacteristic
1588C2×C8C23×D7311yescharacteristic
1589C2×C8C23×D7311yescharacteristic
1590C2×C8C23×D7311yescharacteristic
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—731no—
1594C4⋊C4—731no—
1595C4⋊C4—731no—
1596C4⋊C4—731no—
1597C4⋊C4—731no—
1598C4⋊C4—731no—
1599C4⋊C4—731no—
1600C4⋊C4—1461no—
1601C4⋊C4—1461no—
1602C4⋊C4—1461no—
1603C4⋊C4—1461no—
1604C4⋊C4—1461no—
1605C4⋊C4—1461no—
1606C4⋊C4—1461no—
1607C4⋊C4—1461no—
1608C4⋊C4—1461no—
1609C4⋊C4—1461no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4—1461no—
1613C4⋊C4—1461no—
1614C4⋊C4D4×D7311yescharacteristic
1615C4⋊C4C23×D7311yescharacteristic
1616C4⋊C4C23×D7311yescharacteristic
1617C4⋊C4C23×D7311yescharacteristic
1618C4⋊C4C23×D7311yescharacteristic
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—731no—
1627C22⋊C4—731no—
1628C22⋊C4—731no—
1629C22⋊C4—731no—
1630C22⋊C4—731no—
1631C22⋊C4—731no—
1632C22⋊C4—731no—
1633C22⋊C4—731no—
1634C22⋊C4—1461no—
1635C22⋊C4—1461no—
1636C22⋊C4—1461no—
1637C22⋊C4—1461no—
1638C22⋊C4—1461no—
1639C22⋊C4—1461no—
1640C22⋊C4—1461no—
1641C22⋊C4—1461no—
1642C22⋊C4—1461no—
1643C22⋊C4—1461no—
1644C22⋊C4—1461no—
1645C22⋊C4—1461no—
1646C22⋊C4—1461no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4D4×D7311yescharacteristic
1663C22⋊C4D4×D7311yescharacteristic
1664C42—21no—
1665C42—21no—
1666C42—21no—
1667C42—731no—
1668C42—1461no—
1669C42—1461no—
1670C42—1461no—
1671C42—1461no—
1672C42—1461no—
1673C42—1461no—
1674C42—1461no—
1675C42—1461no—
1676C42C23×D7311yescharacteristic
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—2921no—
1681C23—2921no—
1682C23—2921no—
1683C23—2922no—
1684C23—5841no—
1685C23—5841no—
1686C23—5841no—
1687C23—5841no—
1688C23—5841no—
1689C23—731no—
1690C23—731no—
1691C23—731no—
1692C23—1461no—
1693C23—1461no—
1694C23C2×D4×D7311yescharacteristic
1695C23C2×D4×D7311yescharacteristic
1696Q8—21no—
1697Q8—81no—
1698Q8—2922no—
1699Q8—2922no—
1700Q8—2921no—
1701Q8—5841no—
1702Q8—5841no—
1703Q8—732no—
1704Q8—1464no—
1705Q8—1461no—
1706Q8—1461no—
1707Q8—1461no—
1708Q8—1461no—
1709Q8—1461no—
1710Q8—1461no—
1711Q8—1461no—
1712Q8#1455663712yes—
1713D4—21no—
1714D4—21no—
1715D4—21no—
1716D4—21no—
1717D4—21no—
1718D4—21no—
1719D4—41no—
1720D4—42no—
1721D4—42no—
1722D4—81no—
1723D4—81no—
1724D4—81no—
1725D4—81no—
1726D4—81no—
1727D4—81no—
1728D4—2922no—
1729D4—2921no—
1730D4—2921no—
1731D4—2922no—
1732D4—2922no—
1733D4—2921no—
1734D4—2921no—
1735D4—2921no—
1736D4—2921no—
1737D4—2922no—
1738D4—2922no—
1739D4—2922no—
1740D4—5841no—
1741D4—5841no—
1742D4—5841no—
1743D4—5841no—
1744D4—5841no—
1745D4—5841no—
1746D4—5841no—
1747D4—5841no—
1748D4—5841no—
1749D4—5841no—
1750D4—5841no—
1751D4—5841no—
1752D4—5841no—
1753D4—1461no—
1754D4—1461no—
1755D4—1461no—
1756D4—1461no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—81no—
1769C2×C4—2922no—
1770C2×C4—2922no—
1771C2×C4—2922no—
1772C2×C4—2921no—
1773C2×C4—2921no—
1774C2×C4—2922no—
1775C2×C4—2922no—
1776C2×C4—2921no—
1777C2×C4—2922no—
1778C2×C4—2922no—
1779C2×C4—5841no—
1780C2×C4—5841no—
1781C2×C4—5841no—
1782C2×C4—5841no—
1783C2×C4—731no—
1784C2×C4—731no—
1785C2×C4—731no—
1786C2×C4—731no—
1787C2×C4—731no—
1788C2×C4—1464no—
1789C2×C4—1461no—
1790C2×C4—1461no—
1791C2×C4—1461no—
1792C2×C4—1461no—
1793C2×C4—1461no—
1794C2×C4—1461no—
1795C2×C4—1461no—
1796C2×C4—1461no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4C2×D4×D7311yescharacteristic
1802C2×C4C2×D4×D7311yescharacteristic
1803C2×C4C2×D4×D7311yescharacteristic
1804C2×C4C2×D4×D7311yescharacteristic
1805C2×C4C24×D7311yescharacteristic
1806C8—21no—
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—1461no—
1811C8—1461no—
1812C8—1461no—
1813C8—1461no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—2921no—
1830C22—2921no—
1831C22—2921no—
1832C22—2921no—
1833C22—2921no—
1834C22—2921no—
1835C22—5842no—
1836C22—5844no—
1837C22—11682no—
1838C22—1461no—
1839C22—1461no—
1840C22—1461no—
1841C22—1461no—
1842C22—1461no—
1843C22—1461no—
1844C22—1461no—
1845C22—1461no—
1846C22—1461no—
1847C22C22×D4×D7311yescharacteristic
1848C4—21no—
1849C4—21no—
1850C4—22no—
1851C4—21no—
1852C4—21no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—2921no—
1858C4—2921no—
1859C4—2921no—
1860C4—2921no—
1861C4—2921no—
1862C4—1461no—
1863C4—1461no—
1864C4—1462no—
1865C4—1461no—
1866C4—1461no—
1867C4—1461no—
1868C4H(5,𝔽2)×D7311yescharacteristic
1869C4C2×#1455663711yescharacteristic
1870C2—41no—
1871C2—41no—
1872C2—81no—
1873C2—81no—
1874C2—81no—
1875C2—2921no—
1876C2—2921no—
1877C2—2921no—
1878C2—5841no—
1879C2—5841no—
1880C2#2262356111yescharacteristic
1881C2#2262469911yescharacteristic
1882C2#2262470011yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3305C2
socleC22×C73C23×D4
hypercenter#3305D73
hypocenterC73#61638
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3305

Complements

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

NH ≅ G/Ntype
1. #22624201C2semidirect
2. #22623584C2semidirect
3. #22622120C2semidirect
4. #22622111C2semidirect
5. #22621994C2semidirect
6. #22621993C2semidirect
7. #22621877C2semidirect
8. #22621869C2semidirect
9. #22621868C2semidirect
10. #22621674C2semidirect
11. #22621669C2semidirect
12. #22621641C2semidirect
13. #22621640C2semidirect
14. #22621514C2semidirect
15. #22621512C2semidirect
16. #22621477C2semidirect
17. #22621468C2semidirect
18. #22621028C2semidirect
19. #22621022C2semidirect
20. #22620805C2semidirect
21. #22620791C2semidirect
22. #22620722C2semidirect
23. #22620718C2semidirect
24. #22620165C2semidirect
25. #22620156C2semidirect
26. #22619229C2semidirect
27. #22619214C2semidirect
28. #22619151C2semidirect
29. #22619146C2semidirect
30. #22618984C2semidirect
31. C73×#3305C2semidirect
33. C2×#41×D73C22semidirect
34. C2×#14556621C22semidirect
35. C2×#14556615C22semidirect
40. C22×Dic292C22semidirect
41. C2×SD16×D73C22semidirect
45. #17989311C22semidirect
46. #17989305C22semidirect
47. #17989300C22semidirect
51. #17989256C22semidirect
56. #17989246C22semidirect
57. #17989246C22semidirect
60. #17989243C22semidirect
61. #17989243C22semidirect
62. #17989234C22semidirect
63. #17989232C22semidirect
75. #17989150C22semidirect
79. #17989097C22semidirect
82. #17989063C22semidirect
83. #17988975C22semidirect
84. #17988974C22semidirect
85. #17988971C22semidirect
86. #17988970C22semidirect
87. #17988949C22semidirect
88. #17988945C22semidirect
89. #17988932C22semidirect
90. #17988931C22semidirect
91. #17988930C22semidirect
92. #17988930C22semidirect
93. #17988928C22semidirect
95. #17988914C22semidirect
96. #17988911C22semidirect
98. #17988909C22semidirect
99. #17988909C22semidirect
100. #17988880C22semidirect
101. #17988871C22semidirect
102. #17988869C22semidirect
103. #17988838C22semidirect
104. #17988838C22semidirect
105. #17988834C22semidirect
106. #17988832C22semidirect
107. #17988829C22semidirect
108. #17988828C22semidirect
109. #17988823C22semidirect
110. #17988822C22semidirect
111. #17988817C22semidirect
112. #17988817C22semidirect
113. #17988815C22semidirect
114. #17988815C22semidirect
115. #17988814C22semidirect
116. #17988814C22semidirect
117. #17988810C22semidirect
118. #17988810C22semidirect
119. #17988809C22semidirect
120. #17988808C22semidirect
121. #17988808C22semidirect
122. #17988807C22semidirect
123. #17988802C22semidirect
124. #17988801C22semidirect
125. #17988786C22semidirect
126. #17988784C22semidirect
127. #17988781C22semidirect
128. #17988752C22semidirect
129. #17988751C22semidirect
130. #17988751C22semidirect
131. #17988750C22semidirect
132. #17988750C22semidirect
133. #17988750C22semidirect
134. #17988750C22semidirect
135. #17988750C22semidirect
136. #17988750C22semidirect
137. #17988749C22semidirect
138. #17988744C22semidirect
139. #17988744C22semidirect
140. #17988744C22semidirect
141. #17988744C22semidirect
142. #17988739C22semidirect
143. #17988739C22semidirect
147. #17988732C22semidirect
149. #17988730C22semidirect
151. #17988729C22semidirect
152. #17988728C22semidirect
153. #17988728C22semidirect
155. #17988725C22semidirect
156. #17988725C22semidirect
159. #17988722C22semidirect
161. #17988719C22semidirect
162. #17988692C22semidirect
163. #17988691C22semidirect
164. #17988687C22semidirect
165. #17988686C22semidirect
166. C4×Dic292C22semidirect
167. #17988681C22semidirect
168. #17988672C22semidirect
169. #17988661C22semidirect
170. #17988659C22semidirect
171. #17988658C22semidirect
172. #17988657C22semidirect
173. C8×D292C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988647C22semidirect
177. #17988646C22semidirect
178. #17988595C22semidirect
179. #17988594C22semidirect
180. #17988582C22semidirect
181. #17988581C22semidirect
182. #17988580C22semidirect
183. #17988580C22semidirect
186. C2×#14556503C22semidirect
187. C22⋊C8×D73C22semidirect
188. #555×C73C22semidirect
189. #550×C73C22semidirect
190. #486×C73C22semidirect
191. #482×C73C22semidirect
192. #482×C73C22semidirect
193. #477×C73C22semidirect
194. #466×C73C22semidirect
195. #466×C73C22semidirect
196. #459×C73C22semidirect
198. #449×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. C8×D4×C73C22semidirect
201. #416×C73C22semidirect
202. #416×C73C22semidirect
949. #3305D73semidirect
973. C73#61638semidirect
990. #555C2×D73semidirect
997. #550C2×D73semidirect
1034. #486C2×D73semidirect
1045. #482C2×D73semidirect
1046. #482C2×D73semidirect
1048. #477C2×D73semidirect
1059. #466C2×D73semidirect
1060. #466C2×D73semidirect
1078. #459C2×D73semidirect
1104. #449C2×D73semidirect
1122. C4×SD16C2×D73semidirect
1130. C8×D4C2×D73semidirect
1139. #416C2×D73semidirect
1140. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242012
#226235842
#226221202
#226221112
#226219942
#226219932
#226218772
#226218692
#226218682
#226216742
#226216692
#226216412
#226216402
#226215142
#226215122
#226214772
#226214682
#226210282
#226210222
#226208052
#226207912
#226207222
#226207182
#226201652
#226201562
#226192292
#226192142
#226191512
#226191462
#226189842
C73×#33052
#6163873