Finite Group Databasebeta

← #33969099

Subgroups — #33969099

Order 18688.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624029C211yesmaximal, characteristic, complemented
2#22623959C211yesmaximal, characteristic, complemented
3#22622977C211yesmaximal, characteristic, complemented
4#22622874C211yesmaximal, characteristic, complemented
5#22622679C211yesmaximal, characteristic, complemented
6#22622661C211yesmaximal, characteristic, complemented
7#22622485C211yesmaximal, characteristic, complemented
8#22622434C211yesmaximal, characteristic, complemented
9#22622424C211yesmaximal, characteristic, complemented
10#22622185C211yesmaximal, characteristic, complemented
11#22622168C211yesmaximal, characteristic, complemented
12#22622113C211yesmaximal, characteristic, complemented
13#22622078C211yesmaximal, characteristic, complemented
14#22621954C211yesmaximal, characteristic, complemented
15#22621551C211yesmaximal, characteristic, complemented
16#22621429C211yesmaximal, characteristic, complemented
17#22621429C211yesmaximal, characteristic, complemented
18#22620617C211yesmaximal, characteristic, complemented
19#22620580C211yesmaximal, characteristic, complemented
20#22620521C211yesmaximal, characteristic, complemented
21#22620224C211yesmaximal, characteristic, complemented
22#22620172C211yesmaximal, characteristic, complemented
23#22620123C211yesmaximal, characteristic, complemented
24#22620110C211yesmaximal, characteristic, complemented
25#22620075C211yesmaximal, characteristic, complemented
26#22620066C211yesmaximal, characteristic, complemented
27#22618910C211yesmaximal, characteristic, complemented
28#22618787C211yesmaximal, characteristic, complemented
29#22618766C211yesmaximal, characteristic, complemented
30#22618744C211yesmaximal, characteristic, complemented
31C73×#3309C211yesmaximal, characteristic, complemented
32C2×#14556616C2211yescharacteristic
33C2×#14556616C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989323—21no—
36#17989323C2211yescharacteristic, complemented
37#17989313C2211yescharacteristic, complemented
38#17989301—21no—
39#17989301C2211yescharacteristic, complemented
40#17989300C2211yescharacteristic
41#17989293C2211yescharacteristic
42#17989289—21no—
43#17989289C2211yescharacteristic, complemented
44#17989288—21no—
45#17989285C2211yescharacteristic
46#17989277—21no—
47#17989277C2211yescharacteristic, complemented
48#17989258C2211yescharacteristic
49#17989244C2211yescharacteristic, complemented
50#17989244C2211yescharacteristic, complemented
51#17989232—21no—
52#17989229—21no—
53#17989226—21no—
54D4×D292C2211yescharacteristic
55#17989221C2211yescharacteristic
56#17989221C2211yescharacteristic
57#17989204—21no—
58#17989204C2211yescharacteristic, complemented
59#17989193C2211yescharacteristic
60#17989191—21no—
61#17989191C2211yescharacteristic, complemented
62#17989190C2211yescharacteristic
63#17989176—21no—
64#17989173—21no—
65#17989132C2211yescharacteristic
66#17989118—21no—
67#17989118C2211yescharacteristic, complemented
68#17989117—21no—
69#17989117C2211yescharacteristic
70#17989096—21no—
71#121×D73—21no—
72#17989070C2211yescharacteristic, complemented
73#17989063C2211yescharacteristic, complemented
74#17989061C2211yescharacteristic
75#17989059C2211yescharacteristic
76#41×Dic73C2211yescharacteristic, complemented
77C2×#14556553C2211yescharacteristic
78#17988995C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988986C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic, complemented
82#17988975C2211yescharacteristic, complemented
83#17988963C2211yescharacteristic, complemented
84#17988952C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988940C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988928C2211yescharacteristic, complemented
90#17988917C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988913C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988910C2211yescharacteristic, complemented
95#17988909C2211yescharacteristic, complemented
96#17988908C2211yescharacteristic, complemented
97#17988903C2211yescharacteristic, complemented
98#17988901C2211yescharacteristic, complemented
99#17988896C2211yescharacteristic, complemented
100#17988891C2211yescharacteristic, complemented
101#17988890C2211yescharacteristic
102#17988890C2211yescharacteristic, complemented
103#17988888C2211yescharacteristic
104#17988887C2211yescharacteristic, complemented
105#17988885C2211yescharacteristic, complemented
106#17988876C2211yescharacteristic
107#17988870C2211yescharacteristic, complemented
108#17988866C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988839C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic, complemented
112#17988838C2211yescharacteristic, complemented
113#17988838C2211yescharacteristic, complemented
114#17988833C2211yescharacteristic, complemented
115#17988831C2211yescharacteristic, complemented
116#17988831C2211yescharacteristic, complemented
117#17988822C2211yescharacteristic, complemented
118#17988822C2211yescharacteristic, complemented
119#17988816C2211yescharacteristic, complemented
120#17988801C2211yescharacteristic
121#17988801C2211yescharacteristic
122#17988801C2211yescharacteristic, complemented
123#17988801C2211yescharacteristic, complemented
124#17988788C2211yescharacteristic, complemented
125#17988787C2211yescharacteristic, complemented
126#17988785C2211yescharacteristic, complemented
127#17988785C2211yescharacteristic, complemented
128#17988780C2211yescharacteristic, complemented
129#17988780C2211yescharacteristic, complemented
130#17988779C2211yescharacteristic
131#17988740C2211yescharacteristic
132#17988740C2211yescharacteristic
133#17988732C2211yescharacteristic, complemented
134#17988732C2211yescharacteristic, complemented
135#17988727C2211yescharacteristic, complemented
136#17988727C2211yescharacteristic, complemented
137#17988720C2211yescharacteristic
138#17988720C2211yescharacteristic
139#17988719C2211yescharacteristic
140#17988719C2211yescharacteristic
141#17988715C2211yescharacteristic, complemented
142#17988714C2211yescharacteristic, complemented
143#17988699C2211yescharacteristic, complemented
144#17988696C2211yescharacteristic
145#17988696C2211yescharacteristic
146#17988696C2211yescharacteristic, complemented
147#17988696C2211yescharacteristic, complemented
148#17988696C2211yescharacteristic, complemented
149#17988696C2211yescharacteristic, complemented
150#17988690C2211yescharacteristic
151#17988690C2211yescharacteristic
152#17988690C2211yescharacteristic, complemented
153#17988690C2211yescharacteristic, complemented
154#17988689C2211yescharacteristic
155#17988688C2211yescharacteristic, complemented
156#17988686C2211yescharacteristic
157#17988686C2211yescharacteristic, complemented
158#17988678C2211yescharacteristic, complemented
159C4×#11924015C2211yescharacteristic
160#17988674C2211yescharacteristic, complemented
161C4×#11924016C2211yescharacteristic, complemented
162#17988672C2211yescharacteristic
163#17988672C2211yescharacteristic, complemented
164#17988672C2211yescharacteristic, complemented
165D8×Dic73C2211yescharacteristic, complemented
166#17988667C2211yescharacteristic
167#17988667C2211yescharacteristic
168#17988667C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic, complemented
170#17988665C2211yescharacteristic, complemented
171#17988663C2211yescharacteristic, complemented
172#17988661C2211yescharacteristic, complemented
173#17988661C2211yescharacteristic, complemented
174#17988658C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988630C2211yescharacteristic, complemented
179#17988627C2211yescharacteristic, complemented
180#17988624C2211yescharacteristic, complemented
181#17988594C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic
183#17988590C2211yescharacteristic
184C2×#14556513C2211yescharacteristic
185#17988544C2211yescharacteristic, complemented
186#17988542C2211yescharacteristic, complemented
187M16×Dic73C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic
189#550×C73C2211yescharacteristic, complemented
190#490×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#466×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924027—21no—
205C2×Q8×D73C2311yescharacteristic
206C22×D292C2311yescharacteristic
207C22×D292C2311yescharacteristic
208C2×D4×D73—21no—
209C2×D4×D73—21no—
210C2×D4×D73—21no—
211C2×D4×D73C2311yescharacteristic
212C22×C4×D73—21no—
213#14556616—24no—
214#14556616—24no—
215C2×#11924017C2311yescharacteristic
216C2×#11924017C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222SD16×D73—24no—
223C2×#11924013C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924012C2311yescharacteristic
230C2×#11924012C2311yescharacteristic
231C2×#11924011C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233#14556590—21no—
234#14556590C2311yescharacteristic
235#14556590C2311yescharacteristic
236#14556588C2311yescharacteristic
237#14556587C2311yescharacteristic
238#14556587C2311yescharacteristic
239#14556586—21no—
240#14556586D411yescharacteristic
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584D411yescharacteristic
246#14556583—21no—
247#14556583C2311yescharacteristic
248#14556582—21no—
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556581—21no—
252#14556581D411yescharacteristic
253#14556579—21no—
254#14556578—21no—
255#14556578—21no—
256#14556578—21no—
257#14556578—21no—
258#14556578—21no—
259#14556578C2311yescharacteristic
260#14556578C2311yescharacteristic
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577D411yescharacteristic
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556575—21no—
269#14556575—21no—
270#14556575D411yescharacteristic
271#14556573—21no—
272#14556572—21no—
273#14556572—21no—
274#14556572—21no—
275#14556572—21no—
276#14556572—21no—
277#14556572—21no—
278#14556572—21no—
279#14556572D411yescharacteristic
280#14556571—21no—
281#14556570—21no—
282#14556570—21no—
283#14556570C2311yescharacteristic
284#14556570C2311yescharacteristic
285#14556569—21no—
286#14556569—21no—
287#14556568—21no—
288#14556568D411yescharacteristic
289#14556566—21no—
290#14556566—21no—
291#14556566—21no—
292#14556566C2311yescharacteristic
293#14556566C2311yescharacteristic
294#14556565—21no—
295#14556565—21no—
296#14556565C2311yescharacteristic
297#14556565C2311yescharacteristic
298#14556564—21no—
299#14556564—21no—
300#14556564—21no—
301#14556564—21no—
302#14556564—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563D411yescharacteristic
310#14556562—21no—
311#14556562—21no—
312#14556562—21no—
313#14556562C2311yescharacteristic
314#14556562C2311yescharacteristic
315#14556561—21no—
316#14556561—21no—
317#14556561—21no—
318#14556561—21no—
319#14556559—21no—
320#14556559—21no—
321Q8×Dic73C2311yescharacteristic
322Q8×Dic73C2311yescharacteristic
323Q8×Dic73C2311yescharacteristic
324C4×Dic146—21no—
325C4×Dic146—21no—
326C4×Dic146C2311yescharacteristic
327C4×Dic146C2311yescharacteristic
328#14556556—21no—
329#14556556C2311yescharacteristic
330C4×D292—21no—
331C4×D292—21no—
332C4×D292C2311yescharacteristic
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73—21no—
336D4×Dic73—21no—
337D4×Dic73—21no—
338D4×Dic73—21no—
339D4×Dic73—21no—
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343D4×Dic73C2311yescharacteristic
344D4×Dic73C2311yescharacteristic
345#14556553—21no—
346#14556553—21no—
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73C2311yescharacteristic
359C4×C22⋊D73C2311yescharacteristic
360#14556551—21no—
361#14556551—21no—
362#14556550—21no—
363#14556550—21no—
364#14556550C2311yescharacteristic
365#14556550C2311yescharacteristic
366#14556549—21no—
367#14556549C2311yescharacteristic
368#14556549C2311yescharacteristic
369#14556548—21no—
370#14556548—21no—
371#14556548C2311yescharacteristic
372#14556547—21no—
373#14556547—21no—
374#14556547—21no—
375C2×C4⋊Dic73—21no—
376C2×C4⋊Dic73C2311yescharacteristic
377C4⋊C4×D73—21no—
378C2×#11924005—21no—
379C2×#11924005—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C2×C4×Dic73—21no—
384C2×C4×Dic73C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×D8×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×M16×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445#127×C73—21no—
446#127×C73C2311yescharacteristic
447#126×C73—21no—
448#125×C73C2311yescharacteristic
449#123×C73—21no—
450#121×C73—21no—
451#121×C73—21no—
452#121×C73—21no—
453#121×C73C2311yescharacteristic
454#121×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456#121×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73—21no—
459C4×D4×C73—21no—
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462#117×C73C2311yescharacteristic
463C2×C4⋊C4×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924028—82no—
485#11924027—82no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146C2×D411yescharacteristic
490C2×Dic146C2411yescharacteristic
491Q8×D73—22no—
492Q8×D73—41no—
493C2×D292—22no—
494C2×D292—22no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—41no—
502C2×D292—41no—
503C2×D292C2411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73C2×D411yescharacteristic
516C2×C22⋊D73C2×D411yescharacteristic
517D4×D73—22no—
518D4×D73—41no—
519D4×D73—82no—
520D4×D73—82no—
521D4×D73—82no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73C2×D411yescharacteristic
529C22×Dic73C2×D411yescharacteristic
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—82no—
540C2×C4×D73C2411yescharacteristic
541#11924017—22no—
542#11924017—41no—
543#11924017—41no—
544#11924016—22no—
545#11924015—22no—
546#11924015—22no—
547#11924015#4114yescomplemented
548#11924013—22no—
549#11924013—22no—
550#11924013—22no—
551#11924013—22no—
552#11924013—41no—
553#11924013—41no—
554#11924012—22no—
555#11924012—22no—
556#11924011—41no—
557C2×#10596831C2411yescharacteristic
558C2×#10596831C2411yescharacteristic
559C2×#10596831C2411yescharacteristic
560C2×#10596831C2411yescharacteristic
561C8×D73—22no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73C2×D411yescharacteristic
569C4⋊Dic73C2×D411yescharacteristic
570C4⋊Dic73C2×D411yescharacteristic
571C4⋊Dic73C2411yescharacteristic
572C4⋊Dic73C2411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73C2×D411yescharacteristic
606C22⋊Dic73C2×D411yescharacteristic
607C22⋊Dic73C2×D411yescharacteristic
608C22⋊Dic73C2×D411yescharacteristic
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C4×Dic73C2411yescharacteristic
640#41×C73—22no—
641#41×C73—22no—
642#41×C73—41no—
643#41×C73—41no—
644C2×Q8×C73C2411yescharacteristic
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—21no—
651C2×D4×C73—21no—
652C2×D4×C73—21no—
653C2×D4×C73C2×D411yescharacteristic
654C2×D4×C73C2411yescharacteristic
655C2×D4×C73C2411yescharacteristic
656C2×D4×C73C2411yescharacteristic
657C22×C4×C73—21no—
658C22×C4×C73—21no—
659C22×C4×C73—21no—
660C22×C4×C73—21no—
661C22×C4×C73C2411yescharacteristic
662C22×C4×C73C2411yescharacteristic
663SD16×C73—22no—
664D8×C73—41no—
665D8×C73—41no—
666M16×C73—41no—
667C2×C8×C73—41no—
668C2×C8×C73C2411yescharacteristic
669C2×C8×C73C2411yescharacteristic
670C2×C8×C73C2411yescharacteristic
671C2×C8×C73C2411yescharacteristic
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73—21no—
676C4⋊C4×C73C2×D411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73C2×D411yescharacteristic
688C22⋊C4×C73C2×D411yescharacteristic
689C42×C73—21no—
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73C22×D411yescharacteristic
696C23×C73C22×D411yescharacteristic
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—21no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—81no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73—81no—
708C22×D73—81no—
709C22×D73C22×D411yescharacteristic
710Q8×C73—21no—
711Q8×C73C2×#4112yes—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—41no—
719D4×C73—42no—
720D4×C73—42no—
721D4×C73—42no—
722D4×C73—81no—
723D4×C73—81no—
724D4×C73—81no—
725D4×C73—81no—
726D4×C73—81no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—42no—
737C2×C4×C73—42no—
738C2×C4×C73—81no—
739C2×C4×C73—81no—
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C22×D411yescharacteristic
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C2511yescharacteristic
745C22⋊D73—41no—
746C22⋊D73—41no—
747C22⋊D73—42no—
748C22⋊D73—42no—
749C22⋊D73—42no—
750C22⋊D73—81no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—41no—
762C2×Dic73—41no—
763C2×Dic73—81no—
764C2×Dic73—81no—
765C2×Dic73—81no—
766C2×Dic73—81no—
767C2×Dic73—81no—
768C2×Dic73—81no—
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776D292—21no—
777D292—21no—
778D292—21no—
779D292—21no—
780D292—21no—
781D292—42no—
782D292—42no—
783D292—81no—
784D292—81no—
785D292—81no—
786D292—81no—
787D292C2×#4112yes—
788C4×D73—21no—
789C4×D73—21no—
790C4×D73—42no—
791C4×D73—42no—
792C4×D73—42no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799Dic146—21no—
800Dic146—21no—
801Dic146—41no—
802Dic146—42no—
803Dic146—81no—
804Dic146—81no—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73—21no—
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831C2×#4112yes—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—21no—
816C22×C73—21no—
817C22×C73—21no—
818C22×C73—21no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73C23×D411yescharacteristic
829C2×D73—21no—
830C2×D73—21no—
831C2×D73—21no—
832C2×D73—22no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—84no—
842C2×D73—162no—
843C2×D73—162no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—22no—
847C4×C73—21no—
848C4×C73—21no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73C22×#4111yescharacteristic
854C4×C73#58511yescharacteristic
855Dic73—21no—
856Dic73—21no—
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—21no—
861Dic73—21no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867#61504—731nomaximal, Sylow
868C2×C73—41no—
869C2×C73—41no—
870C2×C73—81no—
871C2×C73—81no—
872C2×C73—81no—
873C2×C73D4×#4111yescharacteristic
874C2×C73#358511yescharacteristic
875C2×C73#358511yescharacteristic
876D73—41no—
877D73—42no—
878D73—81no—
879D73—81no—
880#3524—731no—
881#3519—731no—
882#3399—731no—
883#3388—731no—
884#3370—731no—
885#3368—731no—
886#3351—731no—
887#3347—731no—
888#3347—731no—
889#3326—731no—
890#3325—731no—
891#3321—731no—
892#3318—731no—
893#3310—731no—
894#3309D7311yescharacteristic, complemented
895#3274—731no—
896#3265—731no—
897#3265—731no—
898#3179—731no—
899#3176—731no—
900#3171—731no—
901#3126—731no—
902#3122—731no—
903#3119—731no—
904#3118—731no—
905#3115—731no—
906#3114—731no—
907#2967—731no—
908#2949—731no—
909#2946—731no—
910C4×AGL(1,ℤ/8)—731no—
911C73#6150411yescharacteristic, complemented, Sylow
912C2×AGL(1,ℤ/8)—731no—
913C2×AGL(1,ℤ/8)—731no—
914C22×SD16—731no—
915#559—731no—
916#559—1461no—
917#557—731no—
918#555—731no—
919#555—731no—
920#555—1461no—
921#554—731no—
922#553—731no—
923#553—731no—
924#553—1461no—
925#553—1461no—
926#553C2×D7311yescharacteristic
927#552—731no—
928#552—1461no—
929#550—731no—
930#550C2×D7311yescharacteristic, complemented
931#548—731no—
932#548—731no—
933#546—1461no—
934#546—1461no—
935#546—1461no—
936D42—731no—
937D42—731no—
938D42—731no—
939#542—731no—
940#542—1461no—
941#540—731no—
942#540—731no—
943#540—731no—
944#540—1461no—
945#538—1461no—
946#538—1461no—
947#532—731no—
948#529—731no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952#525—1461no—
953C2×#121—1461no—
954#520—731no—
955#519—731no—
956#518—731no—
957#518—731no—
958C4×#41—731no—
959C2×C4×D4—731no—
960#501—731no—
961#501—731no—
962#499—731no—
963#496—731no—
964#496—731no—
965#493—731no—
966#490—731no—
967#490—731no—
968#490C2×D7311yescharacteristic, complemented
969#489—731no—
970#488—731no—
971#486—731no—
972#485—731no—
973#483—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482C2×D7311yescharacteristic, complemented
981#481—731no—
982#480—731no—
983#480C2×D7311yescharacteristic, complemented
984#479—731no—
985#479—731no—
986#479C2×D7311yescharacteristic, complemented
987#478—731no—
988#478—731no—
989#478—731no—
990#478—731no—
991#478—731no—
992#476—731no—
993#475—731no—
994#474—731no—
995#474—731no—
996#469—731no—
997#469—731no—
998#469—731no—
999#469—731no—
1000#469C2×D7311yescharacteristic, complemented
1001#468—731no—
1002#468—731no—
1003#468—731no—
1004#466—731no—
1005#466—731no—
1006#466C2×D7311yescharacteristic, complemented
1007#465—731no—
1008#463—731no—
1009#463—731no—
1010#463—731no—
1011#463—731no—
1012#460—731no—
1013#460—731no—
1014#460—731no—
1015#460—731no—
1016#459—731no—
1017#459—731no—
1018#459—731no—
1019#459C2×D7311yescharacteristic, complemented
1020#450—731no—
1021#450—731no—
1022#449—731no—
1023#449—731no—
1024#449C2×D7311yescharacteristic, complemented
1025#449C2×D7311yescharacteristic, complemented
1026#448—731no—
1027#448—731no—
1028#447—731no—
1029#447—731no—
1030#447—731no—
1031#447—731no—
1032#446—731no—
1033#446—731no—
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#442—731no—
1040#442—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440C2×D7311yescharacteristic, complemented
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16—731no—
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×SD16—731no—
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061C4×D8—731no—
1062#436—731no—
1063#436—731no—
1064#435—731no—
1065#435—731no—
1066#435—731no—
1067#435C2×D7311yescharacteristic, complemented
1068#433—731no—
1069#433—731no—
1070#432—731no—
1071#428—731no—
1072#428—731no—
1073#427—731no—
1074#419—731no—
1075#418—731no—
1076#418—731no—
1077#417C2×D7311yescharacteristic, complemented
1078#416C2×D7311yescharacteristic, complemented
1079C2×#102—731no—
1080#405—731no—
1081#405—731no—
1082C4×M16—731no—
1083C2×#41—1461no—
1084C2×#41—1461no—
1085C2×#41C22×D7311yescharacteristic
1086C2×#41C22×D7311yescharacteristic
1087C22×Q8—731no—
1088C22×D4—731no—
1089C22×D4—731no—
1090C22×D4—731no—
1091C22×D4—1461no—
1092C22×D4—1461no—
1093C22×D4—1461no—
1094C23×C4—1461no—
1095AGL(1,ℤ/8)—1464no—
1096AGL(1,ℤ/8)—1464no—
1097C2×SD16—731no—
1098C2×SD16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—731no—
1103C2×SD16—731no—
1104C2×SD16—1464no—
1105C2×SD16C22×D7311yescharacteristic
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8—731no—
1111C2×D8—731no—
1112C2×D8C22×D7311yescharacteristic
1113C2×D8C22×D7311yescharacteristic
1114C2×M16—731no—
1115C2×M16—731no—
1116C2×M16—731no—
1117C2×M16C22×D7311yescharacteristic
1118C22×C8—731no—
1119C22×C8C22×D7311yescharacteristic
1120C4⋊Q8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8—1461no—
1123#127—21no—
1124#127—731no—
1125#127—731no—
1126#127—731no—
1127#127C22×D7311yescharacteristic
1128#126—21no—
1129#126—731no—
1130#126—731no—
1131#126—1461no—
1132#126—1461no—
1133#126—1461no—
1134#126—1461no—
1135#126—1461no—
1136#125—731no—
1137#125—731no—
1138#125—731no—
1139#125—731no—
1140#125—1461no—
1141#125—1461no—
1142#125—1461no—
1143#125C22×D7311yescharacteristic
1144#124—731no—
1145#124—731no—
1146#124—731no—
1147#124—1461no—
1148#124—1461no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124—1461no—
1156#123—21no—
1157#123—731no—
1158#123—731no—
1159#123—1461no—
1160#123—1461no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172C22⋊Q8—731no—
1173C22⋊Q8—731no—
1174C22⋊Q8—731no—
1175C22⋊Q8—1461no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—731no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—731no—
1191#121—1461no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121—1461no—
1200#121—1461no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121C22×D7311yescharacteristic
1211#121C22×D7311yescharacteristic
1212#121C22×D7311yescharacteristic
1213#121C22×D7311yescharacteristic
1214#120—1461no—
1215#120—1461no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219#120—1461no—
1220C4×Q8—731no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—1461no—
1227C4×Q8—1461no—
1228C4×Q8—1461no—
1229C4×Q8C22×D7311yescharacteristic
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4C22×D7311yescharacteristic
1265C4×D4C22×D7311yescharacteristic
1266#117—731no—
1267#117—731no—
1268#117—731no—
1269#117—731no—
1270#117—731no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117—1461no—
1277#117—1461no—
1278#117—1461no—
1279#117C22×D7311yescharacteristic
1280C2×C4⋊C4—731no—
1281C2×C4⋊C4—1461no—
1282C2×C4⋊C4—1461no—
1283C2×C4⋊C4C22×D7311yescharacteristic
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C42—731no—
1290C2×C42—1461no—
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107—731no—
1297#107C22×D7311yescharacteristic
1298#107C22×D7311yescharacteristic
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106—731no—
1306#106C22×D7311yescharacteristic
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8C22×D7311yescharacteristic
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103C22×D7311yescharacteristic
1319#103C22×D7311yescharacteristic
1320#103C22×D7311yescharacteristic
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102C22×D7311yescharacteristic
1339#102C22×D7311yescharacteristic
1340#102C22×D7311yescharacteristic
1341#102C22×D7311yescharacteristic
1342#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344#102C22×D7311yescharacteristic
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8C22×D7311yescharacteristic
1350C22⋊C8C22×D7311yescharacteristic
1351#97—731no—
1352#97—731no—
1353#97—731no—
1354#97—731no—
1355#97—731no—
1356#97C22×D7311yescharacteristic
1357C4×C8—731no—
1358C4×C8—731no—
1359C4×C8—731no—
1360C4×C8—731no—
1361C24—1461no—
1362C24—1461no—
1363C24—1461no—
1364#41—22no—
1365#41—22no—
1366#41—41no—
1367#41—41no—
1368#41—5842no—
1369#41—5842no—
1370C2×Q8—2921no—
1371C2×Q8—731no—
1372C2×Q8—731no—
1373C2×Q8—1461no—
1374C2×Q8—1461no—
1375C2×Q8—1461no—
1376C2×Q8—1462no—
1377C2×Q8C23×D7311yescharacteristic
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—2921no—
1387C2×D4—2921no—
1388C2×D4—2921no—
1389C2×D4—5842no—
1390C2×D4—5842no—
1391C2×D4—5842no—
1392C2×D4—731no—
1393C2×D4—731no—
1394C2×D4—731no—
1395C2×D4—731no—
1396C2×D4—731no—
1397C2×D4—1462no—
1398C2×D4—1462no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1462no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4D4×D7311yescharacteristic
1416C2×D4C23×D7311yescharacteristic
1417C2×D4C23×D7311yescharacteristic
1418C2×D4C23×D7311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—5842no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—731no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4C23×D7311yescharacteristic
1443C22×C4C23×D7311yescharacteristic
1444SD16—22no—
1445SD16—2921no—
1446SD16—2921no—
1447SD16—734no—
1448SD16—1462no—
1449SD16—1462no—
1450SD16—1462no—
1451SD16—1462no—
1452D8—41no—
1453D8—41no—
1454D8—2921no—
1455D8—2921no—
1456D8—1462no—
1457D8—1462no—
1458D8—1462no—
1459D8—1462no—
1460M16—41no—
1461M16—2921no—
1462M16—1462no—
1463M16—1462no—
1464C2×C8—41no—
1465C2×C8—731no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8—1462no—
1470C2×C8C23×D7311yescharacteristic
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C2×C8C23×D7311yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—731no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4D4×D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C4⋊C4C23×D7311yescharacteristic
1510C4⋊C4C23×D7311yescharacteristic
1511C4⋊C4C23×D7311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—731no—
1519C22⋊C4—731no—
1520C22⋊C4—731no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4D4×D7311yescharacteristic
1555C22⋊C4D4×D7311yescharacteristic
1556C42—21no—
1557C42—21no—
1558C42—731no—
1559C42—731no—
1560C42—731no—
1561C42—731no—
1562C42—731no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42—1461no—
1571C42C23×D7311yescharacteristic
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—2922no—
1576C23—2922no—
1577C23—2922no—
1578C23—2922no—
1579C23—5841no—
1580C23—5841no—
1581C23—5841no—
1582C23—5841no—
1583C23—5841no—
1584C23—731no—
1585C23—1461no—
1586C23—1461no—
1587C23—1461no—
1588C23C2×D4×D7311yescharacteristic
1589C23C2×D4×D7311yescharacteristic
1590Q8—21no—
1591Q8—2922no—
1592Q8—2921no—
1593Q8—5841no—
1594Q8—5841no—
1595Q8—1461no—
1596Q8—1461no—
1597Q8#41×D7312yes—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—41no—
1605D4—42no—
1606D4—42no—
1607D4—42no—
1608D4—81no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—2922no—
1614D4—2922no—
1615D4—2922no—
1616D4—2921no—
1617D4—2921no—
1618D4—2922no—
1619D4—2922no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—5841no—
1626D4—5841no—
1627D4—5841no—
1628D4—5841no—
1629D4—5841no—
1630D4—732no—
1631D4—1461no—
1632D4—1461no—
1633D4—1461no—
1634D4—1461no—
1635D4—1461no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—42no—
1646C2×C4—42no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—2922no—
1650C2×C4—2922no—
1651C2×C4—2922no—
1652C2×C4—2921no—
1653C2×C4—2921no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—5841no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—731no—
1672C2×C4—731no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C24×D7311yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—732no—
1690C8—1461no—
1691C8—1461no—
1692C8—1461no—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—2921no—
1714C22—2921no—
1715C22—2921no—
1716C22—5844no—
1717C22—11682no—
1718C22—11682no—
1719C22—1461no—
1720C22—1462no—
1721C22—1461no—
1722C22—1461no—
1723C22C22×D4×D7311yescharacteristic
1724C4—21no—
1725C4—21no—
1726C4—22no—
1727C4—21no—
1728C4—21no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—2921no—
1734C4—2921no—
1735C4—2921no—
1736C4—2921no—
1737C4—2921no—
1738C4—1461no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4—1461no—
1744C4—1461no—
1745C4C2×#41×D7311yescharacteristic
1746C4#1798942211yescharacteristic
1747C2—41no—
1748C2—41no—
1749C2—81no—
1750C2—81no—
1751C2—81no—
1752C2—2922no—
1753C2—2921no—
1754C2—5841no—
1755C2—5841no—
1756C2#2262341511yescharacteristic
1757C2#2262470611yescharacteristic
1758C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3309C2
socleC22×C73C23×D4
hypercenter#3309D73
hypocenterC73#61504
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3309

Complements

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

NH ≅ G/Ntype
1. #22624029C2semidirect
2. #22623959C2semidirect
3. #22622977C2semidirect
4. #22622874C2semidirect
5. #22622679C2semidirect
6. #22622661C2semidirect
7. #22622485C2semidirect
8. #22622434C2semidirect
9. #22622424C2semidirect
10. #22622185C2semidirect
11. #22622168C2semidirect
12. #22622113C2semidirect
13. #22622078C2semidirect
14. #22621954C2semidirect
15. #22621551C2semidirect
16. #22621429C2semidirect
17. #22621429C2semidirect
18. #22620617C2semidirect
19. #22620580C2semidirect
20. #22620521C2semidirect
21. #22620224C2semidirect
22. #22620172C2semidirect
23. #22620123C2semidirect
24. #22620110C2semidirect
25. #22620075C2semidirect
26. #22620066C2semidirect
27. #22618910C2semidirect
28. #22618787C2semidirect
29. #22618766C2semidirect
30. #22618744C2semidirect
31. C73×#3309C2semidirect
36. #17989323C22semidirect
37. #17989313C22semidirect
39. #17989301C22semidirect
43. #17989289C22semidirect
47. #17989277C22semidirect
49. #17989244C22semidirect
50. #17989244C22semidirect
58. #17989204C22semidirect
61. #17989191C22semidirect
67. #17989118C22semidirect
72. #17989070C22semidirect
73. #17989063C22semidirect
76. #41×Dic73C22semidirect
78. #17988995C22semidirect
79. #17988994C22semidirect
80. #17988986C22semidirect
81. #17988975C22semidirect
82. #17988975C22semidirect
83. #17988963C22semidirect
84. #17988952C22semidirect
85. #17988950C22semidirect
86. #17988945C22semidirect
87. #17988940C22semidirect
88. #17988932C22semidirect
89. #17988928C22semidirect
90. #17988917C22semidirect
91. #17988914C22semidirect
92. #17988913C22semidirect
93. #17988912C22semidirect
94. #17988910C22semidirect
95. #17988909C22semidirect
96. #17988908C22semidirect
97. #17988903C22semidirect
98. #17988901C22semidirect
99. #17988896C22semidirect
100. #17988891C22semidirect
102. #17988890C22semidirect
104. #17988887C22semidirect
105. #17988885C22semidirect
107. #17988870C22semidirect
108. #17988866C22semidirect
109. #17988865C22semidirect
110. #17988839C22semidirect
111. #17988839C22semidirect
112. #17988838C22semidirect
113. #17988838C22semidirect
114. #17988833C22semidirect
115. #17988831C22semidirect
116. #17988831C22semidirect
117. #17988822C22semidirect
118. #17988822C22semidirect
119. #17988816C22semidirect
122. #17988801C22semidirect
123. #17988801C22semidirect
124. #17988788C22semidirect
125. #17988787C22semidirect
126. #17988785C22semidirect
127. #17988785C22semidirect
128. #17988780C22semidirect
129. #17988780C22semidirect
133. #17988732C22semidirect
134. #17988732C22semidirect
135. #17988727C22semidirect
136. #17988727C22semidirect
141. #17988715C22semidirect
142. #17988714C22semidirect
143. #17988699C22semidirect
146. #17988696C22semidirect
147. #17988696C22semidirect
148. #17988696C22semidirect
149. #17988696C22semidirect
152. #17988690C22semidirect
153. #17988690C22semidirect
155. #17988688C22semidirect
157. #17988686C22semidirect
158. #17988678C22semidirect
160. #17988674C22semidirect
161. C4×#11924016C22semidirect
163. #17988672C22semidirect
164. #17988672C22semidirect
165. D8×Dic73C22semidirect
168. #17988667C22semidirect
169. #17988667C22semidirect
170. #17988665C22semidirect
171. #17988663C22semidirect
172. #17988661C22semidirect
173. #17988661C22semidirect
174. #17988658C22semidirect
175. #17988647C22semidirect
176. #17988645C22semidirect
177. #17988641C22semidirect
178. #17988630C22semidirect
179. #17988627C22semidirect
180. #17988624C22semidirect
181. #17988594C22semidirect
185. #17988544C22semidirect
186. #17988542C22semidirect
187. M16×Dic73C22semidirect
189. #550×C73C22semidirect
190. #490×C73C22semidirect
191. #482×C73C22semidirect
192. #480×C73C22semidirect
193. #479×C73C22semidirect
194. #469×C73C22semidirect
195. #466×C73C22semidirect
196. #459×C73C22semidirect
197. #449×C73C22semidirect
198. #449×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #417×C73C22semidirect
202. #416×C73C22semidirect
547. #11924015#41semidirect
894. #3309D73semidirect
911. C73#61504semidirect
930. #550C2×D73semidirect
968. #490C2×D73semidirect
980. #482C2×D73semidirect
983. #480C2×D73semidirect
986. #479C2×D73semidirect
1000. #469C2×D73semidirect
1006. #466C2×D73semidirect
1019. #459C2×D73semidirect
1024. #449C2×D73semidirect
1025. #449C2×D73semidirect
1049. #440C2×D73semidirect
1067. #435C2×D73semidirect
1077. #417C2×D73semidirect
1078. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226240292
#226239592
#226229772
#226228742
#226226792
#226226612
#226224852
#226224342
#226224242
#226221852
#226221682
#226221132
#226220782
#226219542
#226215512
#226214292
#226206172
#226205802
#226205212
#226202242
#226201722
#226201232
#226201102
#226200752
#226200662
#226189102
#226187872
#226187662
#226187442
C73×#33092
#6150473