Finite Group Databasebeta

← #33971923

Subgroups — #33971923

Order 18688.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624197C211yesmaximal, characteristic, complemented
2#22623595C211yesmaximal, characteristic, complemented
3#22622168C211yesmaximal, characteristic, complemented
4#22622160C211yesmaximal, characteristic, complemented
5#22622123C211yesmaximal, characteristic, complemented
6#22622082C211yesmaximal, characteristic, complemented
7#22621995C211yesmaximal, characteristic, complemented
8#22621970C211yesmaximal, characteristic, complemented
9#22621876C211yesmaximal, characteristic, complemented
10#22621868C211yesmaximal, characteristic, complemented
11#22621635C211yesmaximal, characteristic, complemented
12#22621609C211yesmaximal, characteristic, complemented
13#22621585C211yesmaximal, characteristic, complemented
14#22621566C211yesmaximal, characteristic, complemented
15#22621523C211yesmaximal, characteristic, complemented
16#22621469C211yesmaximal, characteristic, complemented
17#22621423C211yesmaximal, characteristic, complemented
18#22621404C211yesmaximal, characteristic, complemented
19#22621023C211yesmaximal, characteristic, complemented
20#22621023C211yesmaximal, characteristic, complemented
21#22620807C211yesmaximal, characteristic, complemented
22#22620744C211yesmaximal, characteristic, complemented
23#22620695C211yesmaximal, characteristic, complemented
24#22620211C211yesmaximal, characteristic, complemented
25#22620188C211yesmaximal, characteristic, complemented
26#22619210C211yesmaximal, characteristic, complemented
27#22619197C211yesmaximal, characteristic, complemented
28#22619169C211yesmaximal, characteristic, complemented
29#22619146C211yesmaximal, characteristic, complemented
30#22618974C211yesmaximal, characteristic, complemented
31C73×#3198C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic, complemented
34C2×#14556624C2211yescharacteristic, complemented
35C2×#14556620C2211yescharacteristic, complemented
36C2×#14556617C2211yescharacteristic, complemented
37C2×#14556615C2211yescharacteristic, complemented
38C2×#14556612C2211yescharacteristic, complemented
39C2×#14556610C2211yescharacteristic, complemented
40C22×#11924017C2211yescharacteristic, complemented
41C22×#11924013C2211yescharacteristic, complemented
42#17989330—21no—
43#17989324—21no—
44#17989323—21no—
45#17989305C2211yescharacteristic, complemented
46#17989305C2211yescharacteristic, complemented
47#17989301C2211yescharacteristic, complemented
48#17989301C2211yescharacteristic, complemented
49#17989268—21no—
50#17989255C2211yescharacteristic
51#17989255C2211yescharacteristic, complemented
52#17989247C2211yescharacteristic
53#17989247C2211yescharacteristic, complemented
54#17989243C2211yescharacteristic, complemented
55#17989243C2211yescharacteristic, complemented
56#17989231C2211yescharacteristic, complemented
57#17989231C2211yescharacteristic, complemented
58#17989228C2211yescharacteristic
59#17989228C2211yescharacteristic, complemented
60#17989226—21no—
61#17989226—21no—
62#17989221—21no—
63#17989221—21no—
64#17989221C2211yescharacteristic
65#17989221C2211yescharacteristic, complemented
66#17989204C2211yescharacteristic, complemented
67#17989204C2211yescharacteristic, complemented
68#17989201—21no—
69#17989201—21no—
70#17989172—21no—
71#17989172—21no—
72#17989167—21no—
73#17989158C2211yescharacteristic, complemented
74#17989153—21no—
75#17989151C2211yescharacteristic, complemented
76#17989100—21no—
77#17989097C2211yescharacteristic, complemented
78#17989097C2211yescharacteristic, complemented
79#17989094C2211yescharacteristic
80C2×#14556566C2211yescharacteristic, complemented
81#121×D73—21no—
82#17989068C2211yescharacteristic, complemented
83#17988975C2211yescharacteristic, complemented
84#17988975C2211yescharacteristic, complemented
85#17988968C2211yescharacteristic, complemented
86#17988968C2211yescharacteristic, complemented
87#17988948C2211yescharacteristic, complemented
88#17988948C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988932C2211yescharacteristic, complemented
91#17988925C2211yescharacteristic, complemented
92#17988922C2211yescharacteristic, complemented
93#17988917C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic, complemented
95#17988914C2211yescharacteristic, complemented
96#17988913C2211yescharacteristic, complemented
97#17988913C2211yescharacteristic, complemented
98#17988908C2211yescharacteristic, complemented
99#17988881C2211yescharacteristic, complemented
100#17988876C2211yescharacteristic, complemented
101#17988871C2211yescharacteristic, complemented
102#17988866C2211yescharacteristic, complemented
103#17988843C2211yescharacteristic, complemented
104#17988839C2211yescharacteristic, complemented
105#17988839C2211yescharacteristic, complemented
106#17988834C2211yescharacteristic, complemented
107#17988834C2211yescharacteristic, complemented
108#17988831C2211yescharacteristic, complemented
109#17988826C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic, complemented
112#17988817C2211yescharacteristic, complemented
113#17988817C2211yescharacteristic, complemented
114#17988814C2211yescharacteristic, complemented
115#17988812C2211yescharacteristic, complemented
116#17988812C2211yescharacteristic, complemented
117#17988808C2211yescharacteristic, complemented
118#17988808C2211yescharacteristic, complemented
119#17988804C2211yescharacteristic, complemented
120#17988804C2211yescharacteristic, complemented
121#17988801C2211yescharacteristic, complemented
122#17988801C2211yescharacteristic, complemented
123#17988786C2211yescharacteristic, complemented
124#17988786C2211yescharacteristic, complemented
125#17988780C2211yescharacteristic, complemented
126#17988780C2211yescharacteristic, complemented
127#17988752C2211yescharacteristic, complemented
128#17988751C2211yescharacteristic, complemented
129#17988751C2211yescharacteristic, complemented
130#17988751C2211yescharacteristic, complemented
131#17988751C2211yescharacteristic, complemented
132#17988750C2211yescharacteristic, complemented
133#17988749C2211yescharacteristic, complemented
134#17988749C2211yescharacteristic, complemented
135#17988744C2211yescharacteristic, complemented
136#17988742C2211yescharacteristic, complemented
137#17988740C2211yescharacteristic, complemented
138#17988740C2211yescharacteristic, complemented
139#17988740C2211yescharacteristic, complemented
140#17988740C2211yescharacteristic, complemented
141#17988739C2211yescharacteristic, complemented
142#17988733C2211yescharacteristic, complemented
143#17988733C2211yescharacteristic, complemented
144#17988733C2211yescharacteristic, complemented
145#17988733C2211yescharacteristic, complemented
146#17988731C2211yescharacteristic, complemented
147#17988730C2211yescharacteristic
148#17988730C2211yescharacteristic
149#17988730C2211yescharacteristic, complemented
150#17988730C2211yescharacteristic, complemented
151#17988729C2211yescharacteristic, complemented
152#17988725C2211yescharacteristic, complemented
153#17988724C2211yescharacteristic, complemented
154#17988720C2211yescharacteristic, complemented
155#17988720C2211yescharacteristic, complemented
156#17988720C2211yescharacteristic, complemented
157#17988720C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic, complemented
159#17988696C2211yescharacteristic, complemented
160#17988693C2211yescharacteristic, complemented
161#17988686C2211yescharacteristic, complemented
162#17988684C2211yescharacteristic, complemented
163#17988681C2211yescharacteristic, complemented
164#17988678C2211yescharacteristic, complemented
165#17988674C2211yescharacteristic, complemented
166#17988667C2211yescharacteristic, complemented
167#17988663C2211yescharacteristic, complemented
168#17988662C2211yescharacteristic, complemented
169#17988661C2211yescharacteristic, complemented
170#17988658C2211yescharacteristic, complemented
171#17988656C2211yescharacteristic, complemented
172#17988655C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic, complemented
174#17988650C2211yescharacteristic, complemented
175#17988645C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988594C2211yescharacteristic, complemented
178#17988593C2211yescharacteristic, complemented
179#17988591C2211yescharacteristic, complemented
180#17988590C2211yescharacteristic, complemented
181#17988584C2211yescharacteristic, complemented
182#17988582C2211yescharacteristic, complemented
183#17988581C2211yescharacteristic, complemented
184#17988580C2211yescharacteristic, complemented
185#17988554C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188#537×C73C2211yescharacteristic
189#535×C73C2211yescharacteristic, complemented
190#485×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#480×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#466×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic, complemented
199#449×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic, complemented
201#447×C73C2211yescharacteristic, complemented
202#408×C73C2211yescharacteristic, complemented
203#14556637—42no—
204#14556637—42no—
205C2×#11924029—21no—
206C2×#11924029C2311yescharacteristic
207C2×#11924028—21no—
208C2×#11924028C2311yescharacteristic
209C2×#11924028C2311yescharacteristic
210C2×#11924028C2311yescharacteristic
211C2×#11924027—21no—
212C2×#11924027C2311yescharacteristic
213C2×#11924027C2311yescharacteristic
214C2×#11924027C2311yescharacteristic
215#41×D73—42no—
216#41×D73—42no—
217C22×Dic146C2311yescharacteristic
218C2×Q8×D73C2311yescharacteristic
219C22×D292—21no—
220C22×D292C2311yescharacteristic
221C22×D292C2311yescharacteristic
222C22×D292C2311yescharacteristic
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73—21no—
229C2×D4×D73C2311yescharacteristic
230C22×C4×D73—21no—
231C22×C4×D73C2311yescharacteristic
232#14556624—42no—
233#14556620—42no—
234#14556617—42no—
235#14556615—42no—
236#14556612—42no—
237#14556610—42no—
238C2×Dic292C2311yescharacteristic
239C2×Dic292C2311yescharacteristic
240C2×#11924018C2311yescharacteristic
241C2×#11924018C2311yescharacteristic
242C2×#11924017—42no—
243C2×#11924017C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924017C2311yescharacteristic
248C2×#11924017C2311yescharacteristic
249C2×#11924016C2311yescharacteristic
250C2×#11924016C2311yescharacteristic
251C2×#11924016C2311yescharacteristic
252C2×#11924016C2311yescharacteristic
253C2×#11924013—42no—
254C2×#11924013C2311yescharacteristic
255C2×#11924013C2311yescharacteristic
256C2×#11924013C2311yescharacteristic
257C2×#11924013C2311yescharacteristic
258C2×#11924013C2311yescharacteristic
259C2×#11924013C2311yescharacteristic
260C2×#11924012C2311yescharacteristic
261C2×#11924011C2311yescharacteristic
262C2×#11924011C2311yescharacteristic
263C22×#10596831C2311yescharacteristic
264C2×C8×D73C2311yescharacteristic
265C2×C8×D73C2311yescharacteristic
266#14556590C2311yescharacteristic
267#14556590C2311yescharacteristic
268#14556589—21no—
269#14556587—21no—
270#14556587—21no—
271#14556587C2311yescharacteristic
272#14556587C2311yescharacteristic
273#14556585—21no—
274#14556585—21no—
275#14556584—21no—
276#14556584—21no—
277#14556584—21no—
278#14556584—21no—
279#14556580C2311yescharacteristic
280#14556580C2311yescharacteristic
281#14556578—21no—
282#14556578—21no—
283#14556578—21no—
284#14556578—21no—
285#14556578—21no—
286#14556578C2311yescharacteristic
287#14556578C2311yescharacteristic
288#14556577—21no—
289#14556577—21no—
290#14556577—21no—
291#14556577—21no—
292#14556577—21no—
293#14556577—21no—
294#14556577—21no—
295#14556577—21no—
296#14556576—21no—
297#14556576—21no—
298#14556573—21no—
299#14556573—21no—
300#14556572—21no—
301#14556572—21no—
302#14556572—21no—
303#14556572—21no—
304#14556572—21no—
305#14556572—21no—
306#14556572D411yescharacteristic
307#14556572D411yescharacteristic
308#14556571C2311yescharacteristic
309#14556571C2311yescharacteristic
310#14556570C2311yescharacteristic
311#14556570C2311yescharacteristic
312#14556570C2311yescharacteristic
313#14556570C2311yescharacteristic
314#14556569—21no—
315#14556569—21no—
316#14556568—21no—
317#14556568—21no—
318#14556568—21no—
319#14556568—21no—
320#14556567D411yescharacteristic
321#14556567D411yescharacteristic
322#14556566—21no—
323#14556566—21no—
324#14556566—21no—
325#14556566—21no—
326#14556566C2311yescharacteristic
327#14556566C2311yescharacteristic
328#14556566C2311yescharacteristic
329#14556566C2311yescharacteristic
330#14556565—21no—
331#14556565—21no—
332#14556564—21no—
333#14556564—21no—
334#14556564—21no—
335#14556564—21no—
336#14556564—21no—
337#14556564—21no—
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#14556562D411yescharacteristic
347#14556562D411yescharacteristic
348#14556562C2311yescharacteristic
349#14556562C2311yescharacteristic
350#14556561—21no—
351#14556561—21no—
352#14556561—21no—
353#14556561—21no—
354#14556560—21no—
355#14556560—21no—
356#14556559—21no—
357#14556559—21no—
358#14556559—21no—
359#14556559—21no—
360#14556559—21no—
361#14556559—21no—
362#14556559D411yescharacteristic
363#14556559D411yescharacteristic
364C4×Dic146—21no—
365C4×Dic146—21no—
366#14556556C2311yescharacteristic
367#14556556C2311yescharacteristic
368#14556556C2311yescharacteristic
369#14556556C2311yescharacteristic
370D4×Dic73—21no—
371D4×Dic73—21no—
372D4×Dic73—21no—
373D4×Dic73—21no—
374D4×Dic73C2311yescharacteristic
375D4×Dic73C2311yescharacteristic
376#14556553—21no—
377#14556553—21no—
378#14556553C2311yescharacteristic
379#14556553C2311yescharacteristic
380C4×C22⋊D73—21no—
381C4×C22⋊D73—21no—
382C4×C22⋊D73C2311yescharacteristic
383C4×C22⋊D73C2311yescharacteristic
384C4×C22⋊D73C2311yescharacteristic
385C4×C22⋊D73C2311yescharacteristic
386#14556551—21no—
387#14556551—21no—
388#14556551—21no—
389#14556551—21no—
390#14556550C2311yescharacteristic
391#14556550C2311yescharacteristic
392#14556549—21no—
393#14556549C2311yescharacteristic
394#14556549C2311yescharacteristic
395#14556547—21no—
396#14556547—21no—
397C4⋊C4×D73—21no—
398C2×C22⋊Dic73—21no—
399C2×C22⋊Dic73—21no—
400C2×#11924005—21no—
401C22⋊C4×D73—21no—
402C22⋊C4×D73—21no—
403#14556524C2311yescharacteristic
404#14556524C2311yescharacteristic
405#14556522C2311yescharacteristic
406#14556522C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437C22⋊#10596831C2311yescharacteristic
438C22⋊#10596831C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556501C2311yescharacteristic
444#14556501C2311yescharacteristic
445C8×Dic73C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C22×D4×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456#127×C73—21no—
457#124×C73—21no—
458C22⋊Q8×C73—21no—
459C22⋊Q8×C73C2311yescharacteristic
460C22⋊Q8×C73C2311yescharacteristic
461#121×C73—21no—
462#121×C73—21no—
463#121×C73—21no—
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#121×C73C2311yescharacteristic
467#121×C73C2311yescharacteristic
468#121×C73C2311yescharacteristic
469#121×C73C2311yescharacteristic
470#120×C73—21no—
471#120×C73—21no—
472#117×C73C2311yescharacteristic
473C2×C4⋊C4×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475#107×C73C2311yescharacteristic
476#106×C73C2311yescharacteristic
477#106×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
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C22⋊C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73C2×D411yescharacteristic
495#11924029—22no—
496#11924029—41no—
497#11924029—44no—
498#11924028—22no—
499#11924028—22no—
500#11924028—22no—
501#11924028—22no—
502#11924028—41no—
503#11924028—41no—
504#11924028—44no—
505#11924027—22no—
506#11924027—41no—
507#11924027—41no—
508#11924027—41no—
509#11924027—41no—
510#11924027—41no—
511#11924027—44no—
512C2×Dic146—21no—
513C2×Dic146—21no—
514C2×Dic146—21no—
515C2×Dic146—21no—
516C2×Dic146—41no—
517C2×Dic146—41no—
518C2×Dic146C2411yescharacteristic
519C2×Dic146C2411yescharacteristic
520C2×Dic146C2411yescharacteristic
521Q8×D73—22no—
522Q8×D73—41no—
523C2×D292—22no—
524C2×D292—22no—
525C2×D292—21no—
526C2×D292—21no—
527C2×D292—21no—
528C2×D292—21no—
529C2×D292—21no—
530C2×D292—21no—
531C2×D292—21no—
532C2×D292—21no—
533C2×D292—41no—
534C2×D292—41no—
535C2×D292—41no—
536C2×D292—41no—
537C2×D292—82no—
538C2×D292C2411yescharacteristic
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⋊D73C2×D411yescharacteristic
555C2×C22⋊D73C2×D411yescharacteristic
556C2×C22⋊D73C2×D411yescharacteristic
557C2×C22⋊D73C2×D411yescharacteristic
558D4×D73—22no—
559D4×D73—41no—
560D4×D73—44no—
561D4×D73—44no—
562D4×D73—44no—
563D4×D73—44no—
564D4×D73—82no—
565D4×D73—82no—
566C22×Dic73—21no—
567C22×Dic73—21no—
568C22×Dic73—21no—
569C22×Dic73—21no—
570C22×Dic73—21no—
571C22×Dic73—21no—
572C22×Dic73C2×D411yescharacteristic
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—21no—
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—41no—
581C2×C4×D73—41no—
582C2×C4×D73—44no—
583C2×C4×D73C2×D411yescharacteristic
584C2×C4×D73C2×D411yescharacteristic
585C2×C4×D73C2411yescharacteristic
586C2×C4×D73C2411yescharacteristic
587Dic292—22no—
588Dic292—22no—
589#11924018—41no—
590#11924018—41no—
591#11924017—22no—
592#11924017—22no—
593#11924017—41no—
594#11924017—41no—
595#11924017—41no—
596#11924017—41no—
597#11924016—22no—
598#11924016—22no—
599#11924016—41no—
600#11924016—41no—
601#11924013—22no—
602#11924013—22no—
603#11924013—41no—
604#11924013—41no—
605#11924013—41no—
606#11924013—41no—
607#11924012—41no—
608#11924011—41no—
609#11924011—41no—
610C2×#10596831—41no—
611C2×#10596831C2411yescharacteristic
612C2×#10596831C2411yescharacteristic
613C2×#10596831C2411yescharacteristic
614C2×#10596831C2411yescharacteristic
615C8×D73—41no—
616C8×D73—41no—
617C4⋊Dic73—21no—
618C4⋊Dic73—21no—
619C4⋊Dic73C2×D411yescharacteristic
620C4⋊Dic73C2×D411yescharacteristic
621C4⋊Dic73C2411yescharacteristic
622C4⋊Dic73C2411yescharacteristic
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007C2×D411yescharacteristic
634#11924007C2×D411yescharacteristic
635#11924007C2×D411yescharacteristic
636#11924007C2×D411yescharacteristic
637C22⋊Dic73—21no—
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⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73—21no—
650C22⋊Dic73C2×D411yescharacteristic
651C22⋊Dic73C2×D411yescharacteristic
652C22⋊Dic73C2×D411yescharacteristic
653C22⋊Dic73C2×D411yescharacteristic
654C22⋊Dic73C2×D411yescharacteristic
655C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
669#11924005—21no—
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×Dic73C2411yescharacteristic
682C4×Dic73C2411yescharacteristic
683C24×C73—21no—
684#41×C73—41no—
685#41×C73—41no—
686#41×C73—41no—
687#41×C73—41no—
688C2×Q8×C73C2×D411yescharacteristic
689C2×Q8×C73C2411yescharacteristic
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×C73—21no—
698C2×D4×C73—41no—
699C2×D4×C73—41no—
700C2×D4×C73C2×D411yescharacteristic
701C2×D4×C73C2×D411yescharacteristic
702C2×D4×C73C2×D411yescharacteristic
703C2×D4×C73C2411yescharacteristic
704C2×D4×C73C2411yescharacteristic
705C2×D4×C73C2411yescharacteristic
706C22×C4×C73—21no—
707C22×C4×C73—21no—
708C22×C4×C73C2411yescharacteristic
709C22×C4×C73C2411yescharacteristic
710C22×C4×C73C2411yescharacteristic
711SD16×C73—41no—
712SD16×C73—41no—
713D8×C73—41no—
714D8×C73—41no—
715M16×C73—41no—
716C2×C8×C73—41no—
717C2×C8×C73C2411yescharacteristic
718C2×C8×C73C2411yescharacteristic
719C2×C8×C73C2411yescharacteristic
720C2×C8×C73C2411yescharacteristic
721C4⋊C4×C73—21no—
722C4⋊C4×C73—21no—
723C4⋊C4×C73—21no—
724C4⋊C4×C73C2411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
727C4⋊C4×C73C2411yescharacteristic
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73—21no—
737C42×C73—21no—
738C23×C73—21no—
739C23×C73—21no—
740C23×C73—21no—
741C23×C73—81no—
742C23×C73—81no—
743C23×C73—81no—
744C23×C73C22×D411yescharacteristic
745C23×C73C22×D411yescharacteristic
746C23×C73C22×D411yescharacteristic
747C22×D73—21no—
748C22×D73—21no—
749C22×D73—21no—
750C22×D73—41no—
751C22×D73—41no—
752C22×D73—41no—
753C22×D73—42no—
754C22×D73—42no—
755C22×D73—42no—
756C22×D73—42no—
757C22×D73—42no—
758C22×D73—81no—
759C22×D73—81no—
760C22×D73—81no—
761C22×D73—81no—
762C22×D73—81no—
763C22×D73—81no—
764C22×D73—81no—
765C22×D73C22×D411yescharacteristic
766C22×D73C22×D411yescharacteristic
767Q8×C73—21no—
768Q8×C73—21no—
769Q8×C73—41no—
770D4×C73—21no—
771D4×C73—21no—
772D4×C73—21no—
773D4×C73—21no—
774D4×C73—21no—
775D4×C73—21no—
776D4×C73—41no—
777D4×C73—41no—
778D4×C73—41no—
779D4×C73—42no—
780D4×C73—81no—
781D4×C73—81no—
782D4×C73—81no—
783D4×C73—81no—
784D4×C73—81no—
785D4×C73—81no—
786D4×C73—81no—
787C2×C4×C73—21no—
788C2×C4×C73—21no—
789C2×C4×C73—21no—
790C2×C4×C73—21no—
791C2×C4×C73—21no—
792C2×C4×C73—21no—
793C2×C4×C73—21no—
794C2×C4×C73—21no—
795C2×C4×C73—21no—
796C2×C4×C73—21no—
797C2×C4×C73—21no—
798C2×C4×C73—42no—
799C2×C4×C73—81no—
800C2×C4×C73C22×D411yescharacteristic
801C2×C4×C73C22×D411yescharacteristic
802C2×C4×C73C22×D411yescharacteristic
803C2×C4×C73C2511yescharacteristic
804C22⋊D73—24no—
805C22⋊D73—41no—
806C22⋊D73—41no—
807C22⋊D73—41no—
808C22⋊D73—41no—
809C22⋊D73—42no—
810C22⋊D73—42no—
811C22⋊D73—42no—
812C22⋊D73—42no—
813C22⋊D73—81no—
814C22⋊D73—81no—
815C22⋊D73—81no—
816C22⋊D73—81no—
817C22⋊D73—81no—
818C22⋊D73—81no—
819C22⋊D73—81no—
820C22⋊D73—81no—
821C2×Dic73—21no—
822C2×Dic73—21no—
823C2×Dic73—21no—
824C2×Dic73—21no—
825C2×Dic73—21no—
826C2×Dic73—41no—
827C2×Dic73—42no—
828C2×Dic73—81no—
829C2×Dic73—81no—
830C2×Dic73—81no—
831C2×Dic73—81no—
832C2×Dic73—81no—
833C2×Dic73C22×D411yescharacteristic
834C2×Dic73C22×D411yescharacteristic
835C2×Dic73C22×D411yescharacteristic
836C2×Dic73C22×D411yescharacteristic
837C2×Dic73C22×D411yescharacteristic
838C2×Dic73C22×D411yescharacteristic
839D292—21no—
840D292—21no—
841D292—21no—
842D292—21no—
843D292—21no—
844D292—42no—
845D292—42no—
846D292—42no—
847D292—42no—
848D292—42no—
849D292—42no—
850D292—81no—
851D292—81no—
852D292H(5,𝔽2)12yes—
853C4×D73—24no—
854C4×D73—21no—
855C4×D73—21no—
856C4×D73—21no—
857C4×D73—21no—
858C4×D73—41no—
859C4×D73—41no—
860C4×D73—42no—
861C4×D73—42no—
862C4×D73—42no—
863C4×D73—42no—
864C4×D73—81no—
865C4×D73—81no—
866Dic146—21no—
867Dic146—21no—
868Dic146—21no—
869Dic146—21no—
870Dic146—21no—
871Dic146—42no—
872Dic146—81no—
873Dic146—81no—
874Dic146—81no—
875Dic146H(5,𝔽2)12yes—
876C8×C73—21no—
877C8×C73—21no—
878C8×C73—21no—
879C8×C73—21no—
880#10596831—21no—
881#10596831—21no—
882#10596831—21no—
883#10596831—21no—
884C22×C73—21no—
885C22×C73—21no—
886C22×C73—21no—
887C22×C73—21no—
888C22×C73—21no—
889C22×C73—21no—
890C22×C73—21no—
891C22×C73—21no—
892C22×C73—21no—
893C22×C73—41no—
894C22×C73—41no—
895C22×C73—41no—
896C22×C73—41no—
897C22×C73—41no—
898C22×C73—41no—
899C22×C73—41no—
900C22×C73—41no—
901C22×C73—41no—
902C22×C73—162no—
903C22×C73C23×D411yescharacteristic
904C2×D73—21no—
905C2×D73—21no—
906C2×D73—21no—
907C2×D73—21no—
908C2×D73—21no—
909C2×D73—22no—
910C2×D73—21no—
911C2×D73—41no—
912C2×D73—41no—
913C2×D73—41no—
914C2×D73—41no—
915C2×D73—41no—
916C2×D73—41no—
917C2×D73—41no—
918C2×D73—41no—
919C2×D73—82no—
920C2×D73—84no—
921C2×D73—162no—
922C2×D73—162no—
923C2×D73—162no—
924C4×C73—21no—
925C4×C73—21no—
926C4×C73—21no—
927C4×C73—41no—
928C4×C73—41no—
929C4×C73—41no—
930C4×C73—41no—
931C4×C73—41no—
932C4×C73C2×H(5,𝔽2)11yescharacteristic
933C4×C73C2×H(5,𝔽2)11yescharacteristic
934Dic73—21no—
935Dic73—21no—
936Dic73—21no—
937Dic73—21no—
938Dic73—22no—
939Dic73—21no—
940Dic73—21no—
941Dic73—41no—
942Dic73—41no—
943Dic73—41no—
944Dic73—41no—
945#61625—731nomaximal, Sylow
946C2×C73—41no—
947C2×C73—41no—
948C2×C73—41no—
949C2×C73—81no—
950C2×C73—81no—
951C2×C73—81no—
952C2×C73#348411yescharacteristic
953C2×C73#358411yescharacteristic
954C2×C73#358511yescharacteristic
955D73—41no—
956D73—41no—
957D73—42no—
958D73—81no—
959D73—81no—
960#3540—731no—
961#3488—731no—
962#3325—731no—
963#3324—731no—
964#3321—731no—
965#3319—731no—
966#3313—731no—
967#3311—731no—
968#3305—731no—
969#3304—731no—
970#3282—731no—
971#3280—731no—
972#3277—731no—
973#3275—731no—
974#3271—731no—
975#3268—731no—
976#3265—731no—
977#3264—731no—
978#3224—731no—
979#3224—731no—
980#3201—731no—
981#3198D7311yescharacteristic, complemented
982#3194—731no—
983#3188—731no—
984#3125—731no—
985#3124—731no—
986#3009—731no—
987#3008—731no—
988#3005—731no—
989#3002—731no—
990#2976—731no—
991C73#6162511yescharacteristic, complemented, Sylow
992C2×H(5,𝔽2)—731no—
993C22×#41—731no—
994C2×#137—731no—
995C2×#137—731no—
996C2×AGL(1,ℤ/8)—731no—
997C2×AGL(1,ℤ/8)—731no—
998C2×#135—731no—
999C2×#135—731no—
1000C22×SD16—731no—
1001C22×D8—731no—
1002H(3,𝔽4)—1461no—
1003#560—1461no—
1004#559—1461no—
1005#556—731no—
1006#556—731no—
1007#555—731no—
1008#555—731no—
1009#551—1461no—
1010#550—731no—
1011#550—731no—
1012#548—731no—
1013#548—731no—
1014#548—731no—
1015#548—731no—
1016#546—731no—
1017#546—731no—
1018#546—731no—
1019#546—731no—
1020#546—1461no—
1021#546—1461no—
1022D42—731no—
1023D42—731no—
1024D42—1461no—
1025D42—1461no—
1026#542—731no—
1027#542—731no—
1028#542—1461no—
1029#542—1461no—
1030#538—1461no—
1031#538—1461no—
1032#537—1461no—
1033#537C2×D7311yescharacteristic
1034#536—731no—
1035#535—731no—
1036#535—1461no—
1037#535C2×D7311yescharacteristic, complemented
1038#525—731no—
1039#525—731no—
1040#525—731no—
1041#525—1461no—
1042C2×#121—731no—
1043C2×#121—1461no—
1044#520—731no—
1045#496—731no—
1046#496—731no—
1047#495—731no—
1048#495—731no—
1049#489—731no—
1050#489—731no—
1051#486—731no—
1052#486—731no—
1053#485—731no—
1054#485C2×D7311yescharacteristic, complemented
1055#484—731no—
1056#483—731no—
1057#482—731no—
1058#482—731no—
1059#482—731no—
1060#482—731no—
1061#482—731no—
1062#482C2×D7311yescharacteristic, complemented
1063#481C2×D7311yescharacteristic, complemented
1064#480C2×D7311yescharacteristic, complemented
1065#477—731no—
1066#476—731no—
1067#475—731no—
1068#474—731no—
1069#470—731no—
1070#469—731no—
1071#469—731no—
1072#469C2×D7311yescharacteristic, complemented
1073#468—731no—
1074#468—731no—
1075#468—731no—
1076#468C2×D7311yescharacteristic, complemented
1077#467—731no—
1078#466—731no—
1079#466—731no—
1080#466C2×D7311yescharacteristic, complemented
1081#465—731no—
1082#465—731no—
1083#465—731no—
1084#465C2×D7311yescharacteristic, complemented
1085#464—731no—
1086#464—731no—
1087#464—731no—
1088#464—731no—
1089#463—731no—
1090#463—731no—
1091#463—731no—
1092#463—731no—
1093#460—731no—
1094#460—731no—
1095#459—731no—
1096#459—731no—
1097#452—731no—
1098#452—731no—
1099#452—731no—
1100#452—731no—
1101#452—731no—
1102#452—731no—
1103#452—731no—
1104#452—731no—
1105#451—731no—
1106#451—731no—
1107#450—731no—
1108#450—731no—
1109#450—731no—
1110#450—731no—
1111#450—731no—
1112#450C2×D7311yescharacteristic, complemented
1113#449—731no—
1114#449—731no—
1115#449—731no—
1116#449—731no—
1117#449—731no—
1118#449—731no—
1119#449—731no—
1120#449—731no—
1121#449—731no—
1122#449—731no—
1123#449C2×D7311yescharacteristic, complemented
1124#449C2×D7311yescharacteristic, complemented
1125#448—731no—
1126#448—731no—
1127#447—731no—
1128#447—731no—
1129#447—731no—
1130#447—731no—
1131#447—731no—
1132#447C2×D7311yescharacteristic, complemented
1133#442—731no—
1134#441—731no—
1135#440—731no—
1136#440—731no—
1137C4×Q16—731no—
1138C4×SD16—731no—
1139C4×SD16—731no—
1140C4×D8—731no—
1141#436—731no—
1142#436—731no—
1143#435—731no—
1144#435—731no—
1145#435—731no—
1146#435—731no—
1147C8×D4—731no—
1148C8×D4—731no—
1149#433—731no—
1150#433—731no—
1151#419—731no—
1152#418—731no—
1153#418—731no—
1154#418—731no—
1155#416—731no—
1156#416—731no—
1157#416—731no—
1158#416—731no—
1159#408—731no—
1160#408C2×D7311yescharacteristic, complemented
1161#407—731no—
1162C2×C22⋊C8—731no—
1163H(5,𝔽2)—2922no—
1164H(5,𝔽2)—2922no—
1165C2×#41—2922no—
1166C2×#41—2922no—
1167C2×#41—731no—
1168C2×#41—731no—
1169C2×#41—731no—
1170C2×#41—731no—
1171C2×#41—731no—
1172C2×#41—731no—
1173C2×#41—731no—
1174C2×#41—1461no—
1175C2×#41—1461no—
1176C2×#41—1461no—
1177C2×#41C22×D7311yescharacteristic
1178C2×#41C22×D7311yescharacteristic
1179C22×Q8—731no—
1180C22×Q8—731no—
1181C22×D4—731no—
1182C22×D4—731no—
1183C22×D4—731no—
1184C22×D4—731no—
1185C22×D4—1461no—
1186C22×D4—1461no—
1187C22×D4—1461no—
1188C22×D4—1461no—
1189C22×D4—1461no—
1190C22×D4—1461no—
1191C22×D4—1461no—
1192C22×D4C22×D7311yescharacteristic
1193C23×C4—731no—
1194C23×C4—1461no—
1195#137—2922no—
1196#137—2922no—
1197AGL(1,ℤ/8)—2922no—
1198AGL(1,ℤ/8)—2922no—
1199#135—2922no—
1200#135—2922no—
1201C2×Q16—731no—
1202C2×Q16—731no—
1203C2×Q16—731no—
1204C2×Q16—731no—
1205C2×SD16—2922no—
1206C2×SD16—731no—
1207C2×SD16—731no—
1208C2×SD16—731no—
1209C2×SD16—731no—
1210C2×SD16—731no—
1211C2×SD16—731no—
1212C2×SD16—731no—
1213C2×SD16—731no—
1214C2×SD16—731no—
1215C2×SD16—731no—
1216C2×SD16C22×D7311yescharacteristic
1217C2×SD16C22×D7311yescharacteristic
1218C2×D8—2922no—
1219C2×D8—731no—
1220C2×D8—731no—
1221C2×D8—731no—
1222C2×D8—731no—
1223C2×D8—731no—
1224C2×D8—731no—
1225C2×D8C22×D7311yescharacteristic
1226C2×D8C22×D7311yescharacteristic
1227C2×M16—731no—
1228C2×M16—731no—
1229C2×M16—731no—
1230C2×M16C22×D7311yescharacteristic
1231C22×C8—731no—
1232C22×C8—731no—
1233C22×C8—731no—
1234C22×C8C22×D7311yescharacteristic
1235C4⋊Q8—731no—
1236C4⋊Q8—731no—
1237C4⋊Q8—1461no—
1238#127—21no—
1239#127—731no—
1240#127—731no—
1241#127—1461no—
1242#127—1461no—
1243#126—1461no—
1244#126—1461no—
1245#126—1461no—
1246#126—1461no—
1247#126—1461no—
1248#126—1461no—
1249#124—21no—
1250#124—731no—
1251#124—731no—
1252#124—731no—
1253#124—731no—
1254#124—1461no—
1255#124—1461no—
1256#124—1461no—
1257#124—1461no—
1258#124—1461no—
1259#124—1461no—
1260#124—1461no—
1261#124—1461no—
1262#124—1461no—
1263#124—1461no—
1264#124—1461no—
1265#124—1461no—
1266#124—1461no—
1267#123—731no—
1268#123—731no—
1269#123—1461no—
1270#123—1461no—
1271#123—1461no—
1272#123—1461no—
1273#123—1461no—
1274#123—1461no—
1275#123—1461no—
1276#123—1461no—
1277#123—1461no—
1278#123—1461no—
1279C22⋊Q8—21no—
1280C22⋊Q8—731no—
1281C22⋊Q8—731no—
1282C22⋊Q8—731no—
1283C22⋊Q8—731no—
1284C22⋊Q8—731no—
1285C22⋊Q8—731no—
1286C22⋊Q8—731no—
1287C22⋊Q8—731no—
1288C22⋊Q8—1461no—
1289C22⋊Q8—1461no—
1290C22⋊Q8—1461no—
1291C22⋊Q8—1461no—
1292C22⋊Q8—1461no—
1293C22⋊Q8—1461no—
1294C22⋊Q8C22×D7311yescharacteristic
1295C22⋊Q8C22×D7311yescharacteristic
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—731no—
1300#121—731no—
1301#121—731no—
1302#121—731no—
1303#121—731no—
1304#121—731no—
1305#121—731no—
1306#121—731no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121—1461no—
1323#121—1461no—
1324#121—1461no—
1325#121—1461no—
1326#121—1461no—
1327#121C22×D7311yescharacteristic
1328#121C22×D7311yescharacteristic
1329#121C22×D7311yescharacteristic
1330#121C22×D7311yescharacteristic
1331#121C22×D7311yescharacteristic
1332#121C22×D7311yescharacteristic
1333#120—21no—
1334#120—21no—
1335#120—731no—
1336#120—731no—
1337#120—1461no—
1338#120—1461no—
1339#120—1461no—
1340#120—1461no—
1341#120—1461no—
1342#120—1461no—
1343#120—1461no—
1344#120—1461no—
1345#120—1461no—
1346#120—1461no—
1347#120—1461no—
1348#120—1461no—
1349C4×Q8—731no—
1350C4×Q8—731no—
1351C4×Q8—731no—
1352C4×Q8—731no—
1353C4×Q8—1461no—
1354C4×Q8—1461no—
1355C4×D4—731no—
1356C4×D4—731no—
1357C4×D4—731no—
1358C4×D4—731no—
1359C4×D4—731no—
1360C4×D4—731no—
1361C4×D4—731no—
1362C4×D4—731no—
1363C4×D4—1461no—
1364C4×D4—1461no—
1365C4×D4—1461no—
1366C4×D4—1461no—
1367C4×D4—1461no—
1368C4×D4—1461no—
1369C4×D4—1461no—
1370C4×D4—1461no—
1371C4×D4—1461no—
1372C4×D4—1461no—
1373C4×D4—1461no—
1374C4×D4—1461no—
1375#117—731no—
1376#117—731no—
1377#117—731no—
1378#117—731no—
1379#117—1461no—
1380#117—1461no—
1381#117—1461no—
1382#117C22×D7311yescharacteristic
1383C2×C4⋊C4—1461no—
1384C2×C4⋊C4C22×D7311yescharacteristic
1385C2×C22⋊C4—1461no—
1386C2×C22⋊C4—1461no—
1387C2×C22⋊C4—1461no—
1388C2×C22⋊C4—1461no—
1389C2×C22⋊C4—1461no—
1390#107—731no—
1391#107—731no—
1392#107C22×D7311yescharacteristic
1393#107C22×D7311yescharacteristic
1394#106—731no—
1395#106—731no—
1396#106C22×D7311yescharacteristic
1397#106C22×D7311yescharacteristic
1398C4⋊C8—731no—
1399C4⋊C8—731no—
1400C4⋊C8—731no—
1401C4⋊C8—731no—
1402#103—731no—
1403#103—731no—
1404#103—731no—
1405#103—731no—
1406#103—731no—
1407#103—731no—
1408#103—731no—
1409#103—731no—
1410#103—731no—
1411#103—731no—
1412#103C22×D7311yescharacteristic
1413#103C22×D7311yescharacteristic
1414#102—731no—
1415#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102—731no—
1420#102—731no—
1421#102—731no—
1422#102—731no—
1423#102—731no—
1424#102—731no—
1425#102—731no—
1426#102—731no—
1427#102—731no—
1428#102C22×D7311yescharacteristic
1429#102C22×D7311yescharacteristic
1430#102C22×D7311yescharacteristic
1431#102C22×D7311yescharacteristic
1432#102C22×D7311yescharacteristic
1433#102C22×D7311yescharacteristic
1434C22⋊C8—731no—
1435C22⋊C8—731no—
1436C22⋊C8—731no—
1437C22⋊C8—731no—
1438C22⋊C8—731no—
1439C22⋊C8—731no—
1440C22⋊C8—731no—
1441C22⋊C8—731no—
1442C22⋊C8C22×D7311yescharacteristic
1443C22⋊C8C22×D7311yescharacteristic
1444C22⋊C8C22×D7311yescharacteristic
1445C22⋊C8C22×D7311yescharacteristic
1446#97—731no—
1447#97—731no—
1448C4×C8—731no—
1449C4×C8—731no—
1450C24—21no—
1451C24—731no—
1452C24—1461no—
1453C24—1461no—
1454C24—1461no—
1455C24—1461no—
1456#41—41no—
1457#41—41no—
1458#41—41no—
1459#41—41no—
1460#41—2921no—
1461#41—2921no—
1462#41—2924no—
1463#41—2924no—
1464#41—2921no—
1465#41—2924no—
1466#41—2921no—
1467#41—2921no—
1468#41—2921no—
1469#41—2921no—
1470#41—2921no—
1471#41—1462no—
1472#41—1462no—
1473#41—1462no—
1474#41—1462no—
1475#41—1462no—
1476#41—1462no—
1477C2×Q8—2921no—
1478C2×Q8—2921no—
1479C2×Q8—2921no—
1480C2×Q8—731no—
1481C2×Q8—731no—
1482C2×Q8—731no—
1483C2×Q8—1461no—
1484C2×Q8—1461no—
1485C2×Q8—1461no—
1486C2×Q8—1462no—
1487C2×Q8—1461no—
1488C2×Q8D4×D7311yescharacteristic
1489C2×Q8C23×D7311yescharacteristic
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—41no—
1499C2×D4—41no—
1500C2×D4—2921no—
1501C2×D4—2921no—
1502C2×D4—2921no—
1503C2×D4—2921no—
1504C2×D4—2924no—
1505C2×D4—2924no—
1506C2×D4—2924no—
1507C2×D4—2921no—
1508C2×D4—2924no—
1509C2×D4—5842no—
1510C2×D4—5842no—
1511C2×D4—5842no—
1512C2×D4—731no—
1513C2×D4—731no—
1514C2×D4—731no—
1515C2×D4—731no—
1516C2×D4—731no—
1517C2×D4—731no—
1518C2×D4—731no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1462no—
1523C2×D4—1462no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4—1461no—
1529C2×D4—1461no—
1530C2×D4—1461no—
1531C2×D4—1462no—
1532C2×D4—1461no—
1533C2×D4—1461no—
1534C2×D4—1461no—
1535C2×D4—1461no—
1536C2×D4—1461no—
1537C2×D4—1461no—
1538C2×D4—1461no—
1539C2×D4—1461no—
1540C2×D4—1461no—
1541C2×D4—1461no—
1542C2×D4—1461no—
1543C2×D4D4×D7311yescharacteristic
1544C2×D4D4×D7311yescharacteristic
1545C2×D4D4×D7311yescharacteristic
1546C2×D4C23×D7311yescharacteristic
1547C2×D4C23×D7311yescharacteristic
1548C2×D4C23×D7311yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—2921no—
1552C22×C4—2921no—
1553C22×C4—2924no—
1554C22×C4—731no—
1555C22×C4—731no—
1556C22×C4—731no—
1557C22×C4—731no—
1558C22×C4—731no—
1559C22×C4—1461no—
1560C22×C4—1461no—
1561C22×C4—1461no—
1562C22×C4—1461no—
1563C22×C4—1461no—
1564C22×C4—1461no—
1565C22×C4—1461no—
1566C22×C4—1461no—
1567C22×C4—1461no—
1568C22×C4—1461no—
1569C22×C4—1461no—
1570C22×C4—1461no—
1571C22×C4—1461no—
1572C22×C4C23×D7311yescharacteristic
1573C22×C4C23×D7311yescharacteristic
1574C22×C4C23×D7311yescharacteristic
1575Q16—2921no—
1576Q16—2921no—
1577Q16—1462no—
1578Q16—1462no—
1579SD16—41no—
1580SD16—41no—
1581SD16—2921no—
1582SD16—2921no—
1583SD16—2921no—
1584SD16—2921no—
1585SD16—2921no—
1586SD16—2921no—
1587SD16—1462no—
1588SD16—1462no—
1589SD16—1462no—
1590SD16—1462no—
1591D8—41no—
1592D8—41no—
1593D8—2921no—
1594D8—2921no—
1595D8—2921no—
1596D8—2921no—
1597D8—1462no—
1598D8—1462no—
1599M16—41no—
1600M16—2921no—
1601M16—2921no—
1602M16—2921no—
1603C2×C8—41no—
1604C2×C8—2921no—
1605C2×C8—2921no—
1606C2×C8—2921no—
1607C2×C8—731no—
1608C2×C8—731no—
1609C2×C8—731no—
1610C2×C8—731no—
1611C2×C8C23×D7311yescharacteristic
1612C2×C8C23×D7311yescharacteristic
1613C2×C8C23×D7311yescharacteristic
1614C2×C8C23×D7311yescharacteristic
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—731no—
1619C4⋊C4—731no—
1620C4⋊C4—731no—
1621C4⋊C4—731no—
1622C4⋊C4—731no—
1623C4⋊C4—731no—
1624C4⋊C4—731no—
1625C4⋊C4—731no—
1626C4⋊C4—1461no—
1627C4⋊C4—1461no—
1628C4⋊C4—1461no—
1629C4⋊C4—1461no—
1630C4⋊C4—1461no—
1631C4⋊C4—1461no—
1632C4⋊C4—1461no—
1633C4⋊C4—1461no—
1634C4⋊C4—1461no—
1635C4⋊C4—1461no—
1636C4⋊C4—1461no—
1637C4⋊C4—1461no—
1638C4⋊C4C23×D7311yescharacteristic
1639C4⋊C4C23×D7311yescharacteristic
1640C4⋊C4C23×D7311yescharacteristic
1641C4⋊C4C23×D7311yescharacteristic
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—731no—
1652C22⋊C4—731no—
1653C22⋊C4—731no—
1654C22⋊C4—731no—
1655C22⋊C4—731no—
1656C22⋊C4—731no—
1657C22⋊C4—731no—
1658C22⋊C4—731no—
1659C22⋊C4—731no—
1660C22⋊C4—731no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4—1461no—
1672C22⋊C4—1461no—
1673C22⋊C4—1461no—
1674C22⋊C4—1461no—
1675C22⋊C4—1461no—
1676C22⋊C4—1461no—
1677C22⋊C4—1461no—
1678C22⋊C4—1461no—
1679C22⋊C4—1461no—
1680C22⋊C4—1461no—
1681C22⋊C4—1461no—
1682C22⋊C4—1461no—
1683C22⋊C4—1461no—
1684C22⋊C4—1461no—
1685C22⋊C4—1461no—
1686C22⋊C4—1461no—
1687C22⋊C4—1461no—
1688C42—21no—
1689C42—731no—
1690C42—731no—
1691C42—1461no—
1692C42—1461no—
1693C42—1461no—
1694C42—1461no—
1695C42—1461no—
1696C42—1461no—
1697C42—1461no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—81no—
1702C23—81no—
1703C23—81no—
1704C23—2922no—
1705C23—2922no—
1706C23—2922no—
1707C23—2921no—
1708C23—2921no—
1709C23—2921no—
1710C23—2922no—
1711C23—2922no—
1712C23—5841no—
1713C23—5841no—
1714C23—5841no—
1715C23—5841no—
1716C23—5841no—
1717C23—5841no—
1718C23—5841no—
1719C23—731no—
1720C23—731no—
1721C23—1461no—
1722C23—1461no—
1723C23—1461no—
1724C23C2×D4×D7311yescharacteristic
1725C23C2×D4×D7311yescharacteristic
1726C23C2×D4×D7311yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—41no—
1730Q8—2922no—
1731Q8—5841no—
1732Q8—5841no—
1733Q8—5841no—
1734Q8—732no—
1735Q8—1461no—
1736Q8—1461no—
1737Q8—1461no—
1738Q8—1461no—
1739Q8—1461no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—21no—
1746D4—41no—
1747D4—41no—
1748D4—41no—
1749D4—42no—
1750D4—81no—
1751D4—81no—
1752D4—81no—
1753D4—81no—
1754D4—81no—
1755D4—81no—
1756D4—81no—
1757D4—2922no—
1758D4—2922no—
1759D4—2922no—
1760D4—2922no—
1761D4—2922no—
1762D4—2922no—
1763D4—2922no—
1764D4—2922no—
1765D4—2921no—
1766D4—2921no—
1767D4—2921no—
1768D4—2921no—
1769D4—2922no—
1770D4—2922no—
1771D4—5841no—
1772D4—5841no—
1773D4—5841no—
1774D4—5841no—
1775D4—5841no—
1776D4—5841no—
1777D4—5841no—
1778D4—5841no—
1779D4—5841no—
1780D4—5841no—
1781D4—732no—
1782D4—1464no—
1783D4—1461no—
1784D4—1461no—
1785D4—1461no—
1786D4—1461no—
1787D4—1461no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—42no—
1800C2×C4—81no—
1801C2×C4—2922no—
1802C2×C4—2922no—
1803C2×C4—2921no—
1804C2×C4—2921no—
1805C2×C4—2922no—
1806C2×C4—2922no—
1807C2×C4—2921no—
1808C2×C4—2922no—
1809C2×C4—5841no—
1810C2×C4—5841no—
1811C2×C4—5841no—
1812C2×C4—5841no—
1813C2×C4—5841no—
1814C2×C4—5841no—
1815C2×C4—5841no—
1816C2×C4—731no—
1817C2×C4—731no—
1818C2×C4—731no—
1819C2×C4—731no—
1820C2×C4—731no—
1821C2×C4—731no—
1822C2×C4—1464no—
1823C2×C4—1461no—
1824C2×C4—1461no—
1825C2×C4—1461no—
1826C2×C4—1461no—
1827C2×C4—1461no—
1828C2×C4—1461no—
1829C2×C4—1461no—
1830C2×C4—1461no—
1831C2×C4—1461no—
1832C2×C4C2×D4×D7311yescharacteristic
1833C2×C4C2×D4×D7311yescharacteristic
1834C2×C4C2×D4×D7311yescharacteristic
1835C2×C4C24×D7311yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—1461no—
1841C8—1461no—
1842C8—1461no—
1843C8—1461no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—162no—
1863C22—2921no—
1864C22—2921no—
1865C22—2921no—
1866C22—2921no—
1867C22—2921no—
1868C22—2921no—
1869C22—2921no—
1870C22—2921no—
1871C22—5842no—
1872C22—5844no—
1873C22—11682no—
1874C22—11682no—
1875C22—11682no—
1876C22—1461no—
1877C22—1461no—
1878C22—1462no—
1879C22—1461no—
1880C22—1461no—
1881C22—1461no—
1882C22—1461no—
1883C22C22×D4×D7311yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—2921no—
1893C4—2921no—
1894C4—2921no—
1895C4—2921no—
1896C4—1461no—
1897C4—1462no—
1898C4—1461no—
1899C4—1461no—
1900C4—1461no—
1901C4—1461no—
1902C4—1461no—
1903C4H(5,𝔽2)×D7311yescharacteristic
1904C4H(5,𝔽2)×D7311yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—41no—
1908C2—81no—
1909C2—81no—
1910C2—81no—
1911C2—2922no—
1912C2—2921no—
1913C2—2921no—
1914C2—5841no—
1915C2—5841no—
1916C2#2262356311yescharacteristic
1917C2#2262470311yescharacteristic
1918C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3198C2
socleC22×C73C23×D4
hypercenter#3198D73
hypocenterC73#61625
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3198

Complements

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

NH ≅ G/Ntype
1. #22624197C2semidirect
2. #22623595C2semidirect
3. #22622168C2semidirect
4. #22622160C2semidirect
5. #22622123C2semidirect
6. #22622082C2semidirect
7. #22621995C2semidirect
8. #22621970C2semidirect
9. #22621876C2semidirect
10. #22621868C2semidirect
11. #22621635C2semidirect
12. #22621609C2semidirect
13. #22621585C2semidirect
14. #22621566C2semidirect
15. #22621523C2semidirect
16. #22621469C2semidirect
17. #22621423C2semidirect
18. #22621404C2semidirect
19. #22621023C2semidirect
20. #22621023C2semidirect
21. #22620807C2semidirect
22. #22620744C2semidirect
23. #22620695C2semidirect
24. #22620211C2semidirect
25. #22620188C2semidirect
26. #22619210C2semidirect
27. #22619197C2semidirect
28. #22619169C2semidirect
29. #22619146C2semidirect
30. #22618974C2semidirect
31. C73×#3198C2semidirect
33. C2×#41×D73C22semidirect
34. C2×#14556624C22semidirect
35. C2×#14556620C22semidirect
36. C2×#14556617C22semidirect
37. C2×#14556615C22semidirect
38. C2×#14556612C22semidirect
39. C2×#14556610C22semidirect
40. C22×#11924017C22semidirect
41. C22×#11924013C22semidirect
45. #17989305C22semidirect
46. #17989305C22semidirect
47. #17989301C22semidirect
48. #17989301C22semidirect
51. #17989255C22semidirect
53. #17989247C22semidirect
54. #17989243C22semidirect
55. #17989243C22semidirect
56. #17989231C22semidirect
57. #17989231C22semidirect
59. #17989228C22semidirect
65. #17989221C22semidirect
66. #17989204C22semidirect
67. #17989204C22semidirect
73. #17989158C22semidirect
75. #17989151C22semidirect
77. #17989097C22semidirect
78. #17989097C22semidirect
80. C2×#14556566C22semidirect
82. #17989068C22semidirect
83. #17988975C22semidirect
84. #17988975C22semidirect
85. #17988968C22semidirect
86. #17988968C22semidirect
87. #17988948C22semidirect
88. #17988948C22semidirect
89. #17988932C22semidirect
90. #17988932C22semidirect
91. #17988925C22semidirect
92. #17988922C22semidirect
93. #17988917C22semidirect
94. #17988914C22semidirect
95. #17988914C22semidirect
96. #17988913C22semidirect
97. #17988913C22semidirect
98. #17988908C22semidirect
99. #17988881C22semidirect
100. #17988876C22semidirect
101. #17988871C22semidirect
102. #17988866C22semidirect
103. #17988843C22semidirect
104. #17988839C22semidirect
105. #17988839C22semidirect
106. #17988834C22semidirect
107. #17988834C22semidirect
108. #17988831C22semidirect
109. #17988826C22semidirect
110. #17988822C22semidirect
111. #17988822C22semidirect
112. #17988817C22semidirect
113. #17988817C22semidirect
114. #17988814C22semidirect
115. #17988812C22semidirect
116. #17988812C22semidirect
117. #17988808C22semidirect
118. #17988808C22semidirect
119. #17988804C22semidirect
120. #17988804C22semidirect
121. #17988801C22semidirect
122. #17988801C22semidirect
123. #17988786C22semidirect
124. #17988786C22semidirect
125. #17988780C22semidirect
126. #17988780C22semidirect
127. #17988752C22semidirect
128. #17988751C22semidirect
129. #17988751C22semidirect
130. #17988751C22semidirect
131. #17988751C22semidirect
132. #17988750C22semidirect
133. #17988749C22semidirect
134. #17988749C22semidirect
135. #17988744C22semidirect
136. #17988742C22semidirect
137. #17988740C22semidirect
138. #17988740C22semidirect
139. #17988740C22semidirect
140. #17988740C22semidirect
141. #17988739C22semidirect
142. #17988733C22semidirect
143. #17988733C22semidirect
144. #17988733C22semidirect
145. #17988733C22semidirect
146. #17988731C22semidirect
149. #17988730C22semidirect
150. #17988730C22semidirect
151. #17988729C22semidirect
152. #17988725C22semidirect
153. #17988724C22semidirect
154. #17988720C22semidirect
155. #17988720C22semidirect
156. #17988720C22semidirect
157. #17988720C22semidirect
158. #17988719C22semidirect
159. #17988696C22semidirect
160. #17988693C22semidirect
161. #17988686C22semidirect
162. #17988684C22semidirect
163. #17988681C22semidirect
164. #17988678C22semidirect
165. #17988674C22semidirect
166. #17988667C22semidirect
167. #17988663C22semidirect
168. #17988662C22semidirect
169. #17988661C22semidirect
170. #17988658C22semidirect
171. #17988656C22semidirect
172. #17988655C22semidirect
173. C8×C22⋊D73C22semidirect
174. #17988650C22semidirect
175. #17988645C22semidirect
176. #17988645C22semidirect
177. #17988594C22semidirect
178. #17988593C22semidirect
179. #17988591C22semidirect
180. #17988590C22semidirect
181. #17988584C22semidirect
182. #17988582C22semidirect
183. #17988581C22semidirect
184. #17988580C22semidirect
185. #17988554C22semidirect
186. #17988549C22semidirect
187. C22⋊C8×D73C22semidirect
189. #535×C73C22semidirect
190. #485×C73C22semidirect
191. #482×C73C22semidirect
192. #481×C73C22semidirect
193. #480×C73C22semidirect
194. #469×C73C22semidirect
195. #468×C73C22semidirect
196. #466×C73C22semidirect
197. #465×C73C22semidirect
198. #450×C73C22semidirect
199. #449×C73C22semidirect
200. #449×C73C22semidirect
201. #447×C73C22semidirect
202. #408×C73C22semidirect
981. #3198D73semidirect
991. C73#61625semidirect
1037. #535C2×D73semidirect
1054. #485C2×D73semidirect
1062. #482C2×D73semidirect
1063. #481C2×D73semidirect
1064. #480C2×D73semidirect
1072. #469C2×D73semidirect
1076. #468C2×D73semidirect
1080. #466C2×D73semidirect
1084. #465C2×D73semidirect
1112. #450C2×D73semidirect
1123. #449C2×D73semidirect
1124. #449C2×D73semidirect
1132. #447C2×D73semidirect
1160. #408C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226241972
#226235952
#226221682
#226221602
#226221232
#226220822
#226219952
#226219702
#226218762
#226218682
#226216352
#226216092
#226215852
#226215662
#226215232
#226214692
#226214232
#226214042
#226210232
#226208072
#226207442
#226206952
#226202112
#226201882
#226192102
#226191972
#226191692
#226191462
#226189742
C73×#31982
#6162573