Finite Group Databasebeta

← #33956705

Subgroups — #33956705

Order 18688.

2166 conjugacy classes of subgroups.

The subgroup lattice has 1938 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623262C211yesmaximal, characteristic, complemented
2#22623259C211yesmaximal, characteristic, complemented
3#22620844C211yesmaximal, characteristic, complemented
4#22620840C211yesmaximal, characteristic, complemented
5#22620831C211yesmaximal, characteristic, complemented
6#22620830C211yesmaximal, characteristic, complemented
7#22620825C211yesmaximal, characteristic, complemented
8#22620815C211yesmaximal, characteristic, complemented
9#22620808C211yesmaximal, characteristic, complemented
10#22620807C211yesmaximal, characteristic, complemented
11#22620806C211yesmaximal, characteristic, complemented
12#22620805C211yesmaximal, characteristic, complemented
13#22620800C211yesmaximal, characteristic, complemented
14#22620794C211yesmaximal, characteristic, complemented
15#22620783C211yesmaximal, characteristic, complemented
16#22620778C211yesmaximal, characteristic, complemented
17#22620776C211yesmaximal, characteristic, complemented
18#22619849C211yesmaximal, characteristic, complemented
19#22619843C211yesmaximal, characteristic, complemented
20#22619841C211yesmaximal, characteristic, complemented
21#22619839C211yesmaximal, characteristic, complemented
22#22619538C211yesmaximal, characteristic, complemented
23#22619535C211yesmaximal, characteristic, complemented
24#22619510C211yesmaximal, characteristic, complemented
25#22619507C211yesmaximal, characteristic, complemented
26#22619150C211yesmaximal, characteristic, complemented
27#22619146C211yesmaximal, characteristic, complemented
28#22619146C211yesmaximal, characteristic, complemented
29#22619144C211yesmaximal, characteristic, complemented
30#408×D73C211yesmaximal, characteristic, complemented
31C73×#3198C211yesmaximal, characteristic, complemented
32C22×#11924027C2211yescharacteristic, complemented
33C2×#41×D73C2211yescharacteristic
34C2×#41×D73C2211yescharacteristic, complemented
35C2×#14556612C2211yescharacteristic
36C2×#14556612C2211yescharacteristic
37C2×#14556610C2211yescharacteristic
38C2×#14556610C2211yescharacteristic
39C2×M16×D73C2211yescharacteristic, complemented
40C22×C8×D73C2211yescharacteristic, complemented
41#17989168C2211yescharacteristic, complemented
42#17989166C2211yescharacteristic
43#17989166C2211yescharacteristic
44#17989166C2211yescharacteristic, complemented
45#17989166C2211yescharacteristic, complemented
46#17989165C2211yescharacteristic
47#17989165C2211yescharacteristic, complemented
48#17989163C2211yescharacteristic
49#17989160—21no—
50#17989160C2211yescharacteristic
51#17989160C2211yescharacteristic, complemented
52#17989158C2211yescharacteristic, complemented
53#17989157—21no—
54#17989154C2211yescharacteristic
55#17989153—21no—
56#17989153C2211yescharacteristic
57#17989153C2211yescharacteristic, complemented
58#17989150—21no—
59#17989147—21no—
60#17989147—21no—
61#17989145—21no—
62#17989145—21no—
63#17989136—21no—
64#17989135—21no—
65#17989132—21no—
66#17989132—21no—
67#17989100—21no—
68#17989100C2211yescharacteristic
69#17989100C2211yescharacteristic, complemented
70#17989097—21no—
71#17989097C2211yescharacteristic
72#17989097C2211yescharacteristic
73#17989097C2211yescharacteristic
74#17989097C2211yescharacteristic, complemented
75#17989097C2211yescharacteristic, complemented
76#17989097C2211yescharacteristic, complemented
77#17989093—21no—
78#17989093—21no—
79C2×#14556549C2211yescharacteristic, complemented
80#117×D73C2211yescharacteristic, complemented
81#17988931C2211yescharacteristic, complemented
82#17988931C2211yescharacteristic, complemented
83#17988930C2211yescharacteristic, complemented
84#17988930C2211yescharacteristic, complemented
85#17988929C2211yescharacteristic, complemented
86#17988928C2211yescharacteristic, complemented
87#17988925C2211yescharacteristic, complemented
88#17988924C2211yescharacteristic, complemented
89#17988923C2211yescharacteristic, complemented
90#17988922C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988919C2211yescharacteristic, complemented
93#17988918C2211yescharacteristic, complemented
94#17988917C2211yescharacteristic, complemented
95#17988916C2211yescharacteristic, complemented
96#17988912C2211yescharacteristic, complemented
97#17988911C2211yescharacteristic, complemented
98#17988910C2211yescharacteristic, complemented
99#17988910C2211yescharacteristic, complemented
100#17988909C2211yescharacteristic, complemented
101#17988909C2211yescharacteristic, complemented
102#17988908C2211yescharacteristic, complemented
103#17988907C2211yescharacteristic, complemented
104#17988904C2211yescharacteristic, complemented
105#17988903C2211yescharacteristic, complemented
106#17988902C2211yescharacteristic, complemented
107#17988899C2211yescharacteristic, complemented
108#17988898C2211yescharacteristic, complemented
109#17988846C2211yescharacteristic, complemented
110#17988845C2211yescharacteristic, complemented
111#17988844C2211yescharacteristic, complemented
112#17988843C2211yescharacteristic, complemented
113#17988839C2211yescharacteristic, complemented
114#17988838C2211yescharacteristic, complemented
115#17988837C2211yescharacteristic, complemented
116#17988834C2211yescharacteristic, complemented
117#17988833C2211yescharacteristic, complemented
118#17988832C2211yescharacteristic, complemented
119#17988832C2211yescharacteristic, complemented
120#17988831C2211yescharacteristic, complemented
121#17988831C2211yescharacteristic, complemented
122#17988830C2211yescharacteristic, complemented
123#17988829C2211yescharacteristic, complemented
124#17988828C2211yescharacteristic, complemented
125#17988827C2211yescharacteristic, complemented
126#17988826C2211yescharacteristic, complemented
127#17988822C2211yescharacteristic, complemented
128#17988821C2211yescharacteristic, complemented
129#17988820C2211yescharacteristic, complemented
130#17988817C2211yescharacteristic, complemented
131#17988816C2211yescharacteristic, complemented
132#17988815C2211yescharacteristic, complemented
133#17988815C2211yescharacteristic, complemented
134#17988814C2211yescharacteristic, complemented
135#17988814C2211yescharacteristic, complemented
136#17988813C2211yescharacteristic, complemented
137#17988751C2211yescharacteristic, complemented
138#17988751C2211yescharacteristic, complemented
139#17988750C2211yescharacteristic, complemented
140#17988750C2211yescharacteristic, complemented
141#17988749C2211yescharacteristic, complemented
142#17988749C2211yescharacteristic, complemented
143#17988746C2211yescharacteristic, complemented
144#17988746C2211yescharacteristic, complemented
145#17988745C2211yescharacteristic, complemented
146#17988744C2211yescharacteristic, complemented
147#17988744C2211yescharacteristic, complemented
148#17988742C2211yescharacteristic, complemented
149#17988739C2211yescharacteristic, complemented
150#17988739C2211yescharacteristic, complemented
151#17988738C2211yescharacteristic, complemented
152#17988733C2211yescharacteristic, complemented
153#17988733C2211yescharacteristic, complemented
154#17988730C2211yescharacteristic, complemented
155#17988730C2211yescharacteristic, complemented
156#17988729C2211yescharacteristic, complemented
157#17988729C2211yescharacteristic, complemented
158#17988728C2211yescharacteristic, complemented
159#17988725C2211yescharacteristic, complemented
160#17988724C2211yescharacteristic, complemented
161#17988724C2211yescharacteristic, complemented
162#17988721C2211yescharacteristic, complemented
163#17988719C2211yescharacteristic, complemented
164#17988719C2211yescharacteristic, complemented
165#17988624C2211yescharacteristic, complemented
166#17988624C2211yescharacteristic, complemented
167#17988622C2211yescharacteristic, complemented
168#17988622C2211yescharacteristic, complemented
169#17988582C2211yescharacteristic, complemented
170#17988582C2211yescharacteristic, complemented
171#17988580C2211yescharacteristic, complemented
172#17988580C2211yescharacteristic, complemented
173#17988580C2211yescharacteristic, complemented
174#17988580C2211yescharacteristic, complemented
175#17988580C2211yescharacteristic, complemented
176#17988580C2211yescharacteristic, complemented
177#17988555C2211yescharacteristic, complemented
178#17988554C2211yescharacteristic, complemented
179#17988553C2211yescharacteristic, complemented
180#17988552C2211yescharacteristic
181#17988552C2211yescharacteristic
182#17988552C2211yescharacteristic, complemented
183#17988552C2211yescharacteristic, complemented
184C22⋊C8×D73C2211yescharacteristic, complemented
185C22⋊C8×D73C2211yescharacteristic, complemented
186C22⋊C8×D73C2211yescharacteristic, 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
203C2×#11924029D411yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028C2311yescharacteristic
207C2×#11924028C2311yescharacteristic
208C2×#11924028C2311yescharacteristic
209C2×#11924028C2311yescharacteristic
210C2×#11924027—21no—
211C2×#11924027—21no—
212C2×#11924027—21no—
213C2×#11924027—42no—
214C2×#11924027—42no—
215C2×#11924027D411yescharacteristic
216C2×#11924027D411yescharacteristic
217C2×#11924027D411yescharacteristic
218C2×#11924027C2311yescharacteristic
219C2×#11924027C2311yescharacteristic
220C2×#11924027C2311yescharacteristic
221C2×#11924027C2311yescharacteristic
222C2×#11924027C2311yescharacteristic
223#41×D73—42no—
224#41×D73—42no—
225#41×D73—42no—
226#41×D73—42no—
227C22×Dic146C2311yescharacteristic
228C2×Q8×D73D411yescharacteristic
229C2×Q8×D73C2311yescharacteristic
230C22×C22⋊D73—21no—
231C2×D4×D73—21no—
232C2×D4×D73D411yescharacteristic
233C2×D4×D73D411yescharacteristic
234C2×D4×D73D411yescharacteristic
235C2×D4×D73C2311yescharacteristic
236C23×Dic73—21no—
237C22×C4×D73—21no—
238C22×C4×D73C2311yescharacteristic
239C22×C4×D73C2311yescharacteristic
240C22×C4×D73C2311yescharacteristic
241#14556612—42no—
242#14556612—42no—
243#14556610—42no—
244#14556610—42no—
245C2×Dic292C2311yescharacteristic
246C2×Dic292C2311yescharacteristic
247C2×#11924018C2311yescharacteristic
248C2×#11924018C2311yescharacteristic
249C2×#11924017C2311yescharacteristic
250C2×#11924017C2311yescharacteristic
251C2×#11924016C2311yescharacteristic
252C2×#11924016C2311yescharacteristic
253C2×#11924016C2311yescharacteristic
254C2×#11924016C2311yescharacteristic
255C2×#11924013C2311yescharacteristic
256C2×#11924013C2311yescharacteristic
257C2×#11924012C2311yescharacteristic
258C2×#11924011C2311yescharacteristic
259C2×#11924011C2311yescharacteristic
260M16×D73—42no—
261C22×#10596831C2311yescharacteristic
262C2×C8×D73—42no—
263C2×C8×D73C2311yescharacteristic
264C2×C8×D73C2311yescharacteristic
265C2×C8×D73C2311yescharacteristic
266C2×C8×D73C2311yescharacteristic
267C2×C8×D73C2311yescharacteristic
268C2×C8×D73C2311yescharacteristic
269#14556591—21no—
270#14556590—21no—
271#14556590—21no—
272#14556589—21no—
273#14556587—21no—
274#14556587—21no—
275#14556587—21no—
276#14556579—21no—
277#14556578—21no—
278#14556578—21no—
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556577—21no—
283#14556576—21no—
284#14556576—21no—
285#14556576—21no—
286#14556576—21no—
287#14556575—21no—
288#14556575—21no—
289#14556573—21no—
290#14556573—21no—
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556573—21no—
295#14556573—21no—
296#14556573—21no—
297#14556572—21no—
298#14556572—21no—
299#14556571—21no—
300#14556571C2311yescharacteristic
301#14556571C2311yescharacteristic
302#14556571C2311yescharacteristic
303#14556571C2311yescharacteristic
304#14556571C2311yescharacteristic
305#14556571C2311yescharacteristic
306#14556570—21no—
307#14556570C2311yescharacteristic
308#14556570C2311yescharacteristic
309#14556570C2311yescharacteristic
310#14556570C2311yescharacteristic
311#14556570C2311yescharacteristic
312#14556570C2311yescharacteristic
313#14556568—21no—
314#14556568—21no—
315#14556568—21no—
316#14556568—21no—
317#14556567—21no—
318#14556567C2311yescharacteristic
319#14556567C2311yescharacteristic
320#14556566—21no—
321#14556566C2311yescharacteristic
322#14556566C2311yescharacteristic
323#14556565—21no—
324#14556565—21no—
325#14556565—21no—
326#14556565C2311yescharacteristic
327#14556565C2311yescharacteristic
328#14556564—21no—
329#14556564—21no—
330#14556564—21no—
331#14556564—21no—
332#14556563—21no—
333#14556563—21no—
334#14556563—21no—
335#14556563—21no—
336#14556563—21no—
337#14556563—21no—
338#14556563—21no—
339#14556563—21no—
340#14556562—21no—
341#14556562—21no—
342#14556562—21no—
343#14556562—21no—
344#14556562—21no—
345#14556562C2311yescharacteristic
346#14556562C2311yescharacteristic
347#14556562C2311yescharacteristic
348#14556562C2311yescharacteristic
349#14556562C2311yescharacteristic
350#14556562C2311yescharacteristic
351#14556561—21no—
352#14556561—21no—
353#14556561—21no—
354#14556561—21no—
355#14556560—21no—
356#14556560—21no—
357#14556559—21no—
358#14556559—21no—
359#14556559—21no—
360#14556559—21no—
361#14556559—21no—
362#14556559—21no—
363#14556559—21no—
364#14556559—21no—
365D4×Dic73—21no—
366D4×Dic73—21no—
367D4×Dic73—21no—
368D4×Dic73—21no—
369D4×Dic73—21no—
370D4×Dic73—21no—
371#14556553—21no—
372#14556553—21no—
373#14556551—21no—
374#14556551—21no—
375#14556551—21no—
376#14556551—21no—
377#14556551—21no—
378#14556551—21no—
379#14556551—21no—
380#14556551—21no—
381#14556550C2311yescharacteristic
382#14556549—21no—
383#14556549—21no—
384#14556549C2311yescharacteristic
385#14556549C2311yescharacteristic
386#14556549C2311yescharacteristic
387#14556549C2311yescharacteristic
388#14556549C2311yescharacteristic
389#14556549C2311yescharacteristic
390#14556548—21no—
391#14556547—21no—
392C2×C4⋊Dic73C2311yescharacteristic
393C4⋊C4×D73C2311yescharacteristic
394C4⋊C4×D73C2311yescharacteristic
395C2×#11924005—21no—
396C22⋊C4×D73—21no—
397C2×C4×Dic73—21no—
398C42×D73—21no—
399#14556525C2311yescharacteristic
400#14556525C2311yescharacteristic
401#14556524C2311yescharacteristic
402#14556524C2311yescharacteristic
403#14556524C2311yescharacteristic
404#14556524C2311yescharacteristic
405#14556523C2311yescharacteristic
406#14556523C2311yescharacteristic
407#14556522C2311yescharacteristic
408#14556522C2311yescharacteristic
409#14556522C2311yescharacteristic
410#14556522C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556516C2311yescharacteristic
416#14556516C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556512C2311yescharacteristic
432#14556512C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437C22⋊#10596831C2311yescharacteristic
438C22⋊#10596831C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444#14556503C2311yescharacteristic
445#14556503C2311yescharacteristic
446#14556503C2311yescharacteristic
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×D73C2×D411yescharacteristic
492C23×D73C2×D411yescharacteristic
493C23×D73C2×D411yescharacteristic
494#11924029—22no—
495#11924029—22no—
496#11924029—42no—
497#11924028—41no—
498#11924028—41no—
499#11924028—41no—
500#11924028—41no—
501#11924028—41no—
502#11924028—41no—
503#11924028—41no—
504#11924028—41no—
505#11924028—44no—
506#11924027—22no—
507#11924027—22no—
508#11924027—22no—
509#11924027—22no—
510#11924027—22no—
511#11924027—22no—
512#11924027—41no—
513#11924027—41no—
514#11924027—41no—
515#11924027—41no—
516#11924027—42no—
517#11924027—42no—
518#11924027—42no—
519#11924027—44no—
520#11924027—44no—
521#11924027—44no—
522C2×Dic146—21no—
523C2×Dic146—21no—
524C2×Dic146—41no—
525C2×Dic146—41no—
526C2×Dic146C2×D411yescharacteristic
527C2×Dic146C2×D411yescharacteristic
528C2×Dic146C2×D411yescharacteristic
529C2×Dic146C2411yescharacteristic
530C2×Dic146C2411yescharacteristic
531C2×Dic146C2411yescharacteristic
532Q8×D73—41no—
533Q8×D73—41no—
534Q8×D73—42no—
535C2×D292—21no—
536C2×D292—21no—
537C2×D292—21no—
538C2×D292C2×D411yescharacteristic
539C2×D292C2×D411yescharacteristic
540C2×D292C2×D411yescharacteristic
541C2×D292C2411yescharacteristic
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73—21no—
553C2×C22⋊D73—21no—
554C2×C22⋊D73—21no—
555C2×C22⋊D73—21no—
556C2×C22⋊D73—21no—
557C2×C22⋊D73—44no—
558C2×C22⋊D73C2×D411yescharacteristic
559C2×C22⋊D73C2×D411yescharacteristic
560C2×C22⋊D73C2×D411yescharacteristic
561C2×C22⋊D73C2×D411yescharacteristic
562C2×C22⋊D73C2×D411yescharacteristic
563C2×C22⋊D73C2×D411yescharacteristic
564D4×D73—41no—
565D4×D73—41no—
566D4×D73—42no—
567D4×D73—42no—
568D4×D73—42no—
569D4×D73—44no—
570C22×Dic73—21no—
571C22×Dic73—21no—
572C22×Dic73—21no—
573C22×Dic73—21no—
574C22×Dic73—21no—
575C22×Dic73—21no—
576C22×Dic73—21no—
577C22×Dic73—44no—
578C22×Dic73C2×D411yescharacteristic
579C22×Dic73C2×D411yescharacteristic
580C22×Dic73C2×D411yescharacteristic
581C2×C4×D73—22no—
582C2×C4×D73—22no—
583C2×C4×D73—22no—
584C2×C4×D73—22no—
585C2×C4×D73—22no—
586C2×C4×D73—22no—
587C2×C4×D73—21no—
588C2×C4×D73—21no—
589C2×C4×D73—21no—
590C2×C4×D73—21no—
591C2×C4×D73—21no—
592C2×C4×D73—44no—
593C2×C4×D73C2×D411yescharacteristic
594C2×C4×D73C2×D411yescharacteristic
595C2×C4×D73C2×D411yescharacteristic
596C2×C4×D73C2×D411yescharacteristic
597C2×C4×D73C2×D411yescharacteristic
598C2×C4×D73C2×D411yescharacteristic
599C2×C4×D73C2411yescharacteristic
600C2×C4×D73C2411yescharacteristic
601C2×C4×D73C2411yescharacteristic
602C2×C4×D73C2411yescharacteristic
603Dic292—41no—
604Dic292—41no—
605#11924018—41no—
606#11924018—41no—
607#11924017—41no—
608#11924017—41no—
609#11924016—41no—
610#11924016—41no—
611#11924016—41no—
612#11924016—41no—
613#11924013—41no—
614#11924013—41no—
615#11924012—41no—
616#11924011—41no—
617#11924011—41no—
618C2×#10596831—41no—
619C2×#10596831C2411yescharacteristic
620C2×#10596831C2411yescharacteristic
621C2×#10596831C2411yescharacteristic
622C2×#10596831C2411yescharacteristic
623C8×D73—22no—
624C8×D73—22no—
625C8×D73—22no—
626C8×D73—22no—
627C8×D73—41no—
628C8×D73—41no—
629C4⋊Dic73—21no—
630C4⋊Dic73—21no—
631C4⋊Dic73—21no—
632C4⋊Dic73—21no—
633C4⋊Dic73—21no—
634C4⋊Dic73—21no—
635C4⋊Dic73—21no—
636C4⋊Dic73C2411yescharacteristic
637C4⋊Dic73C2411yescharacteristic
638C4⋊Dic73C2411yescharacteristic
639C4⋊Dic73C2411yescharacteristic
640#11924007—21no—
641#11924007—21no—
642#11924007—21no—
643#11924007—21no—
644#11924007—21no—
645#11924007—21no—
646#11924007—21no—
647#11924007—21no—
648#11924007—21no—
649#11924007—21no—
650C22⋊Dic73—21no—
651C22⋊Dic73—21no—
652C22⋊Dic73—21no—
653C22⋊Dic73—21no—
654C22⋊Dic73—21no—
655C22⋊Dic73—21no—
656C22⋊Dic73—21no—
657C22⋊Dic73—21no—
658C22⋊Dic73—21no—
659C22⋊Dic73—21no—
660C22⋊Dic73—21no—
661C22⋊Dic73—21no—
662C22⋊Dic73—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005—21no—
674#11924005—21no—
675#11924005—21no—
676#11924005—21no—
677#11924005—21no—
678#11924005—21no—
679#11924005—21no—
680#11924005—21no—
681C4×Dic73—21no—
682C4×Dic73—21no—
683C4×Dic73—21no—
684C4×Dic73—21no—
685C4×Dic73—21no—
686C4×Dic73—21no—
687C4×Dic73—21no—
688C24×C73—21no—
689#41×C73—41no—
690#41×C73—41no—
691#41×C73—41no—
692#41×C73—41no—
693C2×Q8×C73C2×D411yescharacteristic
694C2×Q8×C73C2411yescharacteristic
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73—21no—
698C2×D4×C73—21no—
699C2×D4×C73—21no—
700C2×D4×C73—21no—
701C2×D4×C73—21no—
702C2×D4×C73—21no—
703C2×D4×C73—41no—
704C2×D4×C73—41no—
705C2×D4×C73C2×D411yescharacteristic
706C2×D4×C73C2×D411yescharacteristic
707C2×D4×C73C2×D411yescharacteristic
708C2×D4×C73C2411yescharacteristic
709C2×D4×C73C2411yescharacteristic
710C2×D4×C73C2411yescharacteristic
711C22×C4×C73—21no—
712C22×C4×C73—21no—
713C22×C4×C73C2411yescharacteristic
714C22×C4×C73C2411yescharacteristic
715C22×C4×C73C2411yescharacteristic
716SD16×C73—41no—
717SD16×C73—41no—
718D8×C73—41no—
719D8×C73—41no—
720M16×C73—41no—
721C2×C8×C73—41no—
722C2×C8×C73C2411yescharacteristic
723C2×C8×C73C2411yescharacteristic
724C2×C8×C73C2411yescharacteristic
725C2×C8×C73C2411yescharacteristic
726C4⋊C4×C73—21no—
727C4⋊C4×C73—21no—
728C4⋊C4×C73—21no—
729C4⋊C4×C73C2411yescharacteristic
730C4⋊C4×C73C2411yescharacteristic
731C4⋊C4×C73C2411yescharacteristic
732C4⋊C4×C73C2411yescharacteristic
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73—21no—
737C22⋊C4×C73—21no—
738C22⋊C4×C73—21no—
739C22⋊C4×C73—21no—
740C22⋊C4×C73—21no—
741C22⋊C4×C73—21no—
742C42×C73—21no—
743C23×C73—21no—
744C23×C73—21no—
745C23×C73—21no—
746C23×C73—42no—
747C23×C73—81no—
748C23×C73—81no—
749C23×C73C22×D411yescharacteristic
750C23×C73C22×D411yescharacteristic
751C23×C73C22×D411yescharacteristic
752C22×D73—22no—
753C22×D73—22no—
754C22×D73—22no—
755C22×D73—21no—
756C22×D73—41no—
757C22×D73—41no—
758C22×D73—41no—
759C22×D73—41no—
760C22×D73—41no—
761C22×D73—41no—
762C22×D73—42no—
763C22×D73—81no—
764C22×D73—81no—
765C22×D73C22×D411yescharacteristic
766C22×D73C22×D411yescharacteristic
767C22×D73C22×D411yescharacteristic
768C22×D73C22×D411yescharacteristic
769Q8×C73—21no—
770Q8×C73—21no—
771Q8×C73—41no—
772D4×C73—21no—
773D4×C73—21no—
774D4×C73—21no—
775D4×C73—21no—
776D4×C73—21no—
777D4×C73—21no—
778D4×C73—41no—
779D4×C73—41no—
780D4×C73—41no—
781D4×C73—42no—
782D4×C73—42no—
783D4×C73—81no—
784D4×C73—81no—
785D4×C73—81no—
786D4×C73—81no—
787D4×C73—81no—
788D4×C73—81no—
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—21no—
799C2×C4×C73—21no—
800C2×C4×C73—42no—
801C2×C4×C73—81no—
802C2×C4×C73C22×D411yescharacteristic
803C2×C4×C73C22×D411yescharacteristic
804C2×C4×C73C22×D411yescharacteristic
805C2×C4×C73C2511yescharacteristic
806C22⋊D73—41no—
807C22⋊D73—41no—
808C22⋊D73—41no—
809C22⋊D73—41no—
810C22⋊D73—41no—
811C22⋊D73—41no—
812C22⋊D73—42no—
813C22⋊D73—42no—
814C22⋊D73—42no—
815C22⋊D73—42no—
816C22⋊D73—42no—
817C22⋊D73—42no—
818C22⋊D73—42no—
819C22⋊D73—81no—
820C22⋊D73—81no—
821C22⋊D73—81no—
822C22⋊D73—81no—
823C22⋊D73—81no—
824C22⋊D73—81no—
825C22⋊D73—81no—
826C22⋊D73—81no—
827C2×Dic73—22no—
828C2×Dic73—22no—
829C2×Dic73—22no—
830C2×Dic73—21no—
831C2×Dic73—21no—
832C2×Dic73—21no—
833C2×Dic73—21no—
834C2×Dic73—21no—
835C2×Dic73—21no—
836C2×Dic73—21no—
837C2×Dic73—42no—
838C2×Dic73—42no—
839C2×Dic73—42no—
840C2×Dic73—42no—
841C2×Dic73—42no—
842C2×Dic73—42no—
843C2×Dic73—81no—
844C2×Dic73C22×D411yescharacteristic
845C2×Dic73C22×D411yescharacteristic
846C2×Dic73C22×D411yescharacteristic
847C2×Dic73C22×D411yescharacteristic
848D292—21no—
849D292—21no—
850D292—41no—
851D292—41no—
852D292—41no—
853D292—42no—
854D292—81no—
855D292—81no—
856C4×D73—22no—
857C4×D73—22no—
858C4×D73—22no—
859C4×D73—21no—
860C4×D73—21no—
861C4×D73—21no—
862C4×D73—21no—
863C4×D73—21no—
864C4×D73—21no—
865C4×D73—22no—
866C4×D73—22no—
867C4×D73—22no—
868C4×D73—42no—
869C4×D73—42no—
870C4×D73—42no—
871C4×D73—81no—
872C4×D73—81no—
873C4×D73H(5,𝔽2)12yes—
874C4×D73H(5,𝔽2)12yes—
875Dic146—21no—
876Dic146—21no—
877Dic146—21no—
878Dic146—21no—
879Dic146—21no—
880Dic146—21no—
881Dic146—41no—
882Dic146—41no—
883Dic146—41no—
884Dic146—42no—
885Dic146—42no—
886C8×C73—21no—
887C8×C73—21no—
888C8×C73—21no—
889C8×C73—21no—
890#10596831—21no—
891#10596831—21no—
892#10596831—21no—
893#10596831—21no—
894C22×C73—21no—
895C22×C73—21no—
896C22×C73—21no—
897C22×C73—21no—
898C22×C73—21no—
899C22×C73—21no—
900C22×C73—21no—
901C22×C73—21no—
902C22×C73—21no—
903C22×C73—41no—
904C22×C73—41no—
905C22×C73—41no—
906C22×C73—41no—
907C22×C73—41no—
908C22×C73—41no—
909C22×C73—41no—
910C22×C73—41no—
911C22×C73—41no—
912C22×C73—84no—
913C22×C73C23×D411yescharacteristic
914C2×D73—21no—
915C2×D73—21no—
916C2×D73—21no—
917C2×D73—21no—
918C2×D73—21no—
919C2×D73—21no—
920C2×D73—21no—
921C2×D73—21no—
922C2×D73—21no—
923C2×D73—21no—
924C2×D73—21no—
925C2×D73—44no—
926C2×D73—41no—
927C2×D73—41no—
928C2×D73—41no—
929C2×D73—82no—
930C2×D73—82no—
931C2×D73—84no—
932C2×D73#53412yes—
933C4×C73—21no—
934C4×C73—21no—
935C4×C73—21no—
936C4×C73—41no—
937C4×C73—41no—
938C4×C73—41no—
939C4×C73—41no—
940C4×C73—41no—
941C4×C73C2×H(5,𝔽2)11yescharacteristic
942C4×C73C2×H(5,𝔽2)11yescharacteristic
943Dic73—21no—
944Dic73—21no—
945Dic73—21no—
946Dic73—41no—
947Dic73—41no—
948Dic73—41no—
949Dic73—41no—
950Dic73—41no—
951Dic73—41no—
952Dic73—41no—
953Dic73#53412yes—
954#60749—731nomaximal, Sylow
955C2×C73—41no—
956C2×C73—41no—
957C2×C73—41no—
958C2×C73—81no—
959C2×C73—81no—
960C2×C73—81no—
961C2×C73C2×#53411yescharacteristic
962C2×C73#358411yescharacteristic
963C2×C73#358411yescharacteristic
964D73—22no—
965D73—41no—
966D73—41no—
967D73—41no—
968D73—81no—
969#3449—731no—
970#3449—731no—
971#3204—731no—
972#3204—731no—
973#3203—731no—
974#3203—731no—
975#3202—731no—
976#3201—731no—
977#3201—731no—
978#3201—731no—
979#3201—731no—
980#3200—731no—
981#3200—731no—
982#3199—731no—
983#3198—731no—
984#3198—731no—
985#3198—731no—
986#3198D7311yescharacteristic, complemented
987#3091—731no—
988#3091—731no—
989#3091—731no—
990#3091—731no—
991#3054—731no—
992#3054—731no—
993#3050—731no—
994#3050—731no—
995#3002—731no—
996#3002—731no—
997#3002—731no—
998#3002—731no—
999C2×#408—731no—
1000C73#6074911yescharacteristic, complemented, Sylow
1001C22×#41—731no—
1002C22×#41—731no—
1003C22×#41—731no—
1004C2×#135—731no—
1005C2×#135—731no—
1006C2×#135—731no—
1007C2×#135—731no—
1008C22×M16—731no—
1009C23×C8—731no—
1010#537—731no—
1011#537—731no—
1012#537—731no—
1013#537—731no—
1014#537—731no—
1015#537—731no—
1016#537—731no—
1017#537C2×D7311yescharacteristic
1018#536—731no—
1019#536—731no—
1020#536—731no—
1021#536—731no—
1022#536—1461no—
1023#536—1461no—
1024#535—731no—
1025#535—731no—
1026#535—731no—
1027#535—1461no—
1028#535—1461no—
1029#535C2×D7311yescharacteristic, complemented
1030#534—1461no—
1031#534—1461no—
1032#534—1461no—
1033#534—1461no—
1034#532—1461no—
1035#532—1461no—
1036#532—1461no—
1037#532—1461no—
1038#525—731no—
1039#525—731no—
1040#525—731no—
1041#525—731no—
1042#525—731no—
1043#525—731no—
1044#525—731no—
1045#525—731no—
1046#525—1461no—
1047#525—1461no—
1048#525—1461no—
1049#525—1461no—
1050C2×#117—731no—
1051C2×#117—731no—
1052#485—731no—
1053#485—731no—
1054#485—731no—
1055#485—731no—
1056#485—731no—
1057#485—731no—
1058#485—731no—
1059#485C2×D7311yescharacteristic, complemented
1060#484—731no—
1061#484—731no—
1062#484—731no—
1063#484—731no—
1064#483—731no—
1065#483—731no—
1066#483—731no—
1067#483—731no—
1068#482—731no—
1069#482—731no—
1070#482—731no—
1071#482—731no—
1072#482—731no—
1073#482—731no—
1074#482—731no—
1075#482C2×D7311yescharacteristic, complemented
1076#481—731no—
1077#481—731no—
1078#481—731no—
1079#481C2×D7311yescharacteristic, complemented
1080#480—731no—
1081#480—731no—
1082#480—731no—
1083#480C2×D7311yescharacteristic, complemented
1084#470—731no—
1085#470—731no—
1086#470—731no—
1087#470—731no—
1088#469—731no—
1089#469—731no—
1090#469—731no—
1091#469C2×D7311yescharacteristic, complemented
1092#468—731no—
1093#468—731no—
1094#468—731no—
1095#468—731no—
1096#468—731no—
1097#468—731no—
1098#468—731no—
1099#468C2×D7311yescharacteristic, complemented
1100#467—731no—
1101#467—731no—
1102#467—731no—
1103#467—731no—
1104#466—731no—
1105#466—731no—
1106#466—731no—
1107#466C2×D7311yescharacteristic, complemented
1108#465—731no—
1109#465—731no—
1110#465—731no—
1111#465—731no—
1112#465—731no—
1113#465—731no—
1114#465—731no—
1115#465C2×D7311yescharacteristic, complemented
1116#452—731no—
1117#452—731no—
1118#452—731no—
1119#452—731no—
1120#452—731no—
1121#452—731no—
1122#452—731no—
1123#452—731no—
1124#451—731no—
1125#451—731no—
1126#451—731no—
1127#451—731no—
1128#450—731no—
1129#450—731no—
1130#450—731no—
1131#450C2×D7311yescharacteristic, complemented
1132#449—731no—
1133#449—731no—
1134#449—731no—
1135#449—731no—
1136#449—731no—
1137#449—731no—
1138#449C2×D7311yescharacteristic, complemented
1139#449C2×D7311yescharacteristic, complemented
1140#448—731no—
1141#448—731no—
1142#448—731no—
1143#448—731no—
1144#447—731no—
1145#447—731no—
1146#447—731no—
1147#447C2×D7311yescharacteristic, complemented
1148#427—731no—
1149#427—731no—
1150#427—731no—
1151#427—731no—
1152#416—731no—
1153#416—731no—
1154#416—731no—
1155#416—731no—
1156#416—731no—
1157#416—731no—
1158#416—731no—
1159#416—731no—
1160#408—731no—
1161#408—731no—
1162#408—731no—
1163#408—731no—
1164#408—731no—
1165#408—731no—
1166#408—731no—
1167#408C2×D7311yescharacteristic, complemented
1168C2×C22⋊C8—731no—
1169C2×C22⋊C8—731no—
1170C2×C22⋊C8—731no—
1171C2×C22⋊C8—731no—
1172C2×#41—2922no—
1173C2×#41—2922no—
1174C2×#41—2922no—
1175C2×#41—2922no—
1176C2×#41—2922no—
1177C2×#41—2922no—
1178C2×#41—731no—
1179C2×#41—731no—
1180C2×#41—731no—
1181C2×#41—731no—
1182C2×#41—731no—
1183C2×#41—731no—
1184C2×#41—731no—
1185C2×#41—731no—
1186C2×#41—731no—
1187C2×#41—731no—
1188C2×#41—731no—
1189C2×#41—731no—
1190C2×#41—731no—
1191C2×#41—731no—
1192C2×#41—1461no—
1193C2×#41—1461no—
1194C2×#41—1461no—
1195C2×#41—1461no—
1196C2×#41C22×D7311yescharacteristic
1197C2×#41C22×D7311yescharacteristic
1198C22×Q8—731no—
1199C22×Q8—731no—
1200C22×Q8—731no—
1201C22×D4—731no—
1202C22×D4—731no—
1203C22×D4—731no—
1204C22×D4—731no—
1205C22×D4—1461no—
1206C22×D4—1461no—
1207C22×D4C22×D7311yescharacteristic
1208C23×C4—731no—
1209C23×C4—731no—
1210C23×C4—731no—
1211C23×C4—1461no—
1212C23×C4—1461no—
1213#135—2922no—
1214#135—2922no—
1215#135—2922no—
1216#135—2922no—
1217C2×Q16—731no—
1218C2×Q16—731no—
1219C2×Q16—731no—
1220C2×Q16—731no—
1221C2×SD16—731no—
1222C2×SD16—731no—
1223C2×SD16—731no—
1224C2×SD16—731no—
1225C2×SD16—731no—
1226C2×SD16—731no—
1227C2×SD16C22×D7311yescharacteristic
1228C2×SD16C22×D7311yescharacteristic
1229C2×D8—731no—
1230C2×D8—731no—
1231C2×D8C22×D7311yescharacteristic
1232C2×D8C22×D7311yescharacteristic
1233C2×M16—2922no—
1234C2×M16—731no—
1235C2×M16—731no—
1236C2×M16—731no—
1237C2×M16C22×D7311yescharacteristic
1238C22×C8—2922no—
1239C22×C8—731no—
1240C22×C8—731no—
1241C22×C8—731no—
1242C22×C8—731no—
1243C22×C8—731no—
1244C22×C8—731no—
1245C22×C8—731no—
1246C22×C8C22×D7311yescharacteristic
1247C4⋊Q8—1461no—
1248C4⋊Q8—1461no—
1249C4⋊Q8—1461no—
1250C4⋊Q8—1461no—
1251#127—21no—
1252#127—1461no—
1253#127—1461no—
1254#127—1461no—
1255#124—21no—
1256#124—1461no—
1257#124—1461no—
1258#124—1461no—
1259#124—1461no—
1260#124—1461no—
1261#124—1461no—
1262#124—1461no—
1263#123—1461no—
1264#123—1461no—
1265#123—1461no—
1266#123—1461no—
1267#123—1461no—
1268#123—1461no—
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—731no—
1289C22⋊Q8—731no—
1290C22⋊Q8—731no—
1291C22⋊Q8—731no—
1292C22⋊Q8—731no—
1293C22⋊Q8—731no—
1294C22⋊Q8—1461no—
1295C22⋊Q8—1461no—
1296C22⋊Q8—1461no—
1297C22⋊Q8—1461no—
1298C22⋊Q8—1461no—
1299C22⋊Q8—1461no—
1300C22⋊Q8—1461no—
1301C22⋊Q8C22×D7311yescharacteristic
1302C22⋊Q8C22×D7311yescharacteristic
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—731no—
1307#121—731no—
1308#121—731no—
1309#121—731no—
1310#121—731no—
1311#121—731no—
1312#121—731no—
1313#121—731no—
1314#121—731no—
1315#121—731no—
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#121—1461no—
1328#121—1461no—
1329#121—1461no—
1330#121—1461no—
1331#121—1461no—
1332#121—1461no—
1333#121—1461no—
1334#121—1461no—
1335#121—1461no—
1336#121—1461no—
1337#121C22×D7311yescharacteristic
1338#121C22×D7311yescharacteristic
1339#121C22×D7311yescharacteristic
1340#121C22×D7311yescharacteristic
1341#121C22×D7311yescharacteristic
1342#121C22×D7311yescharacteristic
1343#120—21no—
1344#120—21no—
1345#120—1461no—
1346#120—1461no—
1347#120—1461no—
1348#120—1461no—
1349#120—1461no—
1350#120—1461no—
1351#120—1461no—
1352#120—1461no—
1353#120—1461no—
1354#120—1461no—
1355#120—1461no—
1356#120—1461no—
1357#120—1461no—
1358#120—1461no—
1359C4×D4—1461no—
1360C4×D4—1461no—
1361C4×D4—1461no—
1362C4×D4—1461no—
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—731no—
1380#117—731no—
1381#117—731no—
1382#117—1461no—
1383#117—1461no—
1384#117—1461no—
1385#117—1461no—
1386#117C22×D7311yescharacteristic
1387C2×C4⋊C4—731no—
1388C2×C4⋊C4—731no—
1389C2×C4⋊C4—731no—
1390C2×C4⋊C4C22×D7311yescharacteristic
1391C2×C22⋊C4—1461no—
1392C2×C22⋊C4—1461no—
1393C2×C42—1461no—
1394C2×C42—1461no—
1395#107—731no—
1396#107—731no—
1397#107—731no—
1398#107—731no—
1399#107—731no—
1400#107—731no—
1401#107C22×D7311yescharacteristic
1402#107C22×D7311yescharacteristic
1403#106—731no—
1404#106—731no—
1405#106—731no—
1406#106—731no—
1407#106—731no—
1408#106—731no—
1409#106C22×D7311yescharacteristic
1410#106C22×D7311yescharacteristic
1411#103—731no—
1412#103—731no—
1413#103—731no—
1414#103—731no—
1415#103—731no—
1416#103—731no—
1417#103—731no—
1418#103—731no—
1419#103—731no—
1420#103—731no—
1421#103—731no—
1422#103—731no—
1423#103—731no—
1424#103—731no—
1425#103C22×D7311yescharacteristic
1426#103C22×D7311yescharacteristic
1427#102—731no—
1428#102—731no—
1429#102—731no—
1430#102—731no—
1431#102—731no—
1432#102—731no—
1433#102—731no—
1434#102—731no—
1435#102—731no—
1436#102—731no—
1437#102C22×D7311yescharacteristic
1438#102C22×D7311yescharacteristic
1439#102C22×D7311yescharacteristic
1440#102C22×D7311yescharacteristic
1441#102C22×D7311yescharacteristic
1442#102C22×D7311yescharacteristic
1443C22⋊C8—731no—
1444C22⋊C8—731no—
1445C22⋊C8—731no—
1446C22⋊C8—731no—
1447C22⋊C8—731no—
1448C22⋊C8—731no—
1449C22⋊C8—731no—
1450C22⋊C8—731no—
1451C22⋊C8—731no—
1452C22⋊C8—731no—
1453C22⋊C8—731no—
1454C22⋊C8—731no—
1455C22⋊C8C22×D7311yescharacteristic
1456C22⋊C8C22×D7311yescharacteristic
1457C22⋊C8C22×D7311yescharacteristic
1458C22⋊C8C22×D7311yescharacteristic
1459C24—21no—
1460C24—731no—
1461C24—731no—
1462C24—731no—
1463C24—1461no—
1464#41—41no—
1465#41—41no—
1466#41—41no—
1467#41—41no—
1468#41—2921no—
1469#41—2921no—
1470#41—2921no—
1471#41—2921no—
1472#41—2921no—
1473#41—2921no—
1474#41—2921no—
1475#41—2921no—
1476#41—2924no—
1477#41—2921no—
1478#41—2921no—
1479#41—2921no—
1480#41—2921no—
1481#41—2924no—
1482#41—2924no—
1483#41—2924no—
1484#41—2922no—
1485#41—2922no—
1486#41—2922no—
1487#41—2922no—
1488#41—1462no—
1489#41—1462no—
1490#41—1462no—
1491#41—1462no—
1492#41—1462no—
1493#41—1462no—
1494#41—1462no—
1495#41—1462no—
1496C2×Q8—2921no—
1497C2×Q8—2921no—
1498C2×Q8—2921no—
1499C2×Q8—2921no—
1500C2×Q8—2922no—
1501C2×Q8—731no—
1502C2×Q8—731no—
1503C2×Q8—731no—
1504C2×Q8—731no—
1505C2×Q8—731no—
1506C2×Q8—731no—
1507C2×Q8—1461no—
1508C2×Q8—1461no—
1509C2×Q8D4×D7311yescharacteristic
1510C2×Q8C23×D7311yescharacteristic
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—41no—
1520C2×D4—41no—
1521C2×D4—2924no—
1522C2×D4—2924no—
1523C2×D4—2921no—
1524C2×D4—2921no—
1525C2×D4—2922no—
1526C2×D4—2922no—
1527C2×D4—2922no—
1528C2×D4—731no—
1529C2×D4—731no—
1530C2×D4—731no—
1531C2×D4—731no—
1532C2×D4—731no—
1533C2×D4—731no—
1534C2×D4—731no—
1535C2×D4—731no—
1536C2×D4—731no—
1537C2×D4—731no—
1538C2×D4—1461no—
1539C2×D4—1461no—
1540C2×D4—1461no—
1541C2×D4—1461no—
1542C2×D4—1461no—
1543C2×D4—1461no—
1544C2×D4—1461no—
1545C2×D4—1461no—
1546C2×D4—1461no—
1547C2×D4—1461no—
1548C2×D4—1461no—
1549C2×D4—1461no—
1550C2×D4—1461no—
1551C2×D4—1461no—
1552C2×D4—1461no—
1553C2×D4—1461no—
1554C2×D4—1461no—
1555C2×D4—1461no—
1556C2×D4D4×D7311yescharacteristic
1557C2×D4D4×D7311yescharacteristic
1558C2×D4D4×D7311yescharacteristic
1559C2×D4C23×D7311yescharacteristic
1560C2×D4C23×D7311yescharacteristic
1561C2×D4C23×D7311yescharacteristic
1562C22×C4—21no—
1563C22×C4—21no—
1564C22×C4—2924no—
1565C22×C4—2924no—
1566C22×C4—731no—
1567C22×C4—731no—
1568C22×C4—731no—
1569C22×C4—731no—
1570C22×C4—731no—
1571C22×C4—731no—
1572C22×C4—731no—
1573C22×C4—731no—
1574C22×C4—731no—
1575C22×C4—731no—
1576C22×C4—731no—
1577C22×C4—731no—
1578C22×C4—731no—
1579C22×C4—1461no—
1580C22×C4—1461no—
1581C22×C4—1461no—
1582C22×C4—1461no—
1583C22×C4—1462no—
1584C22×C4—1462no—
1585C22×C4—1462no—
1586C22×C4—1462no—
1587C22×C4—1462no—
1588C22×C4—1462no—
1589C22×C4—1461no—
1590C22×C4—1461no—
1591C22×C4—1461no—
1592C22×C4—1461no—
1593C22×C4—1461no—
1594C22×C4—1461no—
1595C22×C4—1461no—
1596C22×C4—1461no—
1597C22×C4C23×D7311yescharacteristic
1598C22×C4C23×D7311yescharacteristic
1599C22×C4C23×D7311yescharacteristic
1600Q16—2921no—
1601Q16—2921no—
1602Q16—2921no—
1603Q16—2921no—
1604SD16—41no—
1605SD16—41no—
1606SD16—2921no—
1607SD16—2921no—
1608SD16—2921no—
1609SD16—2921no—
1610SD16—2921no—
1611SD16—2921no—
1612D8—41no—
1613D8—41no—
1614D8—2921no—
1615D8—2921no—
1616M16—41no—
1617M16—2921no—
1618M16—2921no—
1619M16—2921no—
1620C2×C8—41no—
1621C2×C8—2921no—
1622C2×C8—2921no—
1623C2×C8—2921no—
1624C2×C8—731no—
1625C2×C8—731no—
1626C2×C8—731no—
1627C2×C8—731no—
1628C2×C8—1462no—
1629C2×C8—1462no—
1630C2×C8—1462no—
1631C2×C8—1462no—
1632C2×C8C23×D7311yescharacteristic
1633C2×C8C23×D7311yescharacteristic
1634C2×C8C23×D7311yescharacteristic
1635C2×C8C23×D7311yescharacteristic
1636C4⋊C4—21no—
1637C4⋊C4—21no—
1638C4⋊C4—21no—
1639C4⋊C4—731no—
1640C4⋊C4—731no—
1641C4⋊C4—731no—
1642C4⋊C4—731no—
1643C4⋊C4—1461no—
1644C4⋊C4—1461no—
1645C4⋊C4—1461no—
1646C4⋊C4—1461no—
1647C4⋊C4—1461no—
1648C4⋊C4—1461no—
1649C4⋊C4—1461no—
1650C4⋊C4—1461no—
1651C4⋊C4—1461no—
1652C4⋊C4—1461no—
1653C4⋊C4—1461no—
1654C4⋊C4—1461no—
1655C4⋊C4—1461no—
1656C4⋊C4—1461no—
1657C4⋊C4—1461no—
1658C4⋊C4—1461no—
1659C4⋊C4—1461no—
1660C4⋊C4C23×D7311yescharacteristic
1661C4⋊C4C23×D7311yescharacteristic
1662C4⋊C4C23×D7311yescharacteristic
1663C4⋊C4C23×D7311yescharacteristic
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
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—
1688C22⋊C4—1461no—
1689C22⋊C4—1461no—
1690C22⋊C4—1461no—
1691C22⋊C4—1461no—
1692C22⋊C4—1461no—
1693C22⋊C4—1461no—
1694C22⋊C4—1461no—
1695C22⋊C4—1461no—
1696C22⋊C4—1461no—
1697C22⋊C4—1461no—
1698C22⋊C4—1461no—
1699C22⋊C4—1461no—
1700C22⋊C4—1461no—
1701C22⋊C4—1461no—
1702C22⋊C4—1461no—
1703C22⋊C4—1461no—
1704C42—21no—
1705C42—1461no—
1706C42—1461no—
1707C42—1461no—
1708C42—1461no—
1709C42—1461no—
1710C42—1461no—
1711C42—1461no—
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—42no—
1716C23—81no—
1717C23—81no—
1718C23—2921no—
1719C23—2921no—
1720C23—2921no—
1721C23—2921no—
1722C23—2921no—
1723C23—2921no—
1724C23—2922no—
1725C23—5841no—
1726C23—5841no—
1727C23—731no—
1728C23—731no—
1729C23—731no—
1730C23—731no—
1731C23—1462no—
1732C23—1462no—
1733C23—1462no—
1734C23—1461no—
1735C23C2×D4×D7311yescharacteristic
1736C23C2×D4×D7311yescharacteristic
1737C23C2×D4×D7311yescharacteristic
1738Q8—21no—
1739Q8—21no—
1740Q8—41no—
1741Q8—2922no—
1742Q8—2921no—
1743Q8—2921no—
1744Q8—2921no—
1745Q8—2922no—
1746Q8—1461no—
1747Q8—1461no—
1748Q8—1461no—
1749Q8—1461no—
1750Q8—1461no—
1751Q8—1461no—
1752D4—21no—
1753D4—21no—
1754D4—21no—
1755D4—21no—
1756D4—21no—
1757D4—21no—
1758D4—41no—
1759D4—41no—
1760D4—41no—
1761D4—42no—
1762D4—42no—
1763D4—81no—
1764D4—81no—
1765D4—81no—
1766D4—81no—
1767D4—81no—
1768D4—81no—
1769D4—2921no—
1770D4—2921no—
1771D4—2921no—
1772D4—2922no—
1773D4—2922no—
1774D4—2922no—
1775D4—2922no—
1776D4—2922no—
1777D4—2922no—
1778D4—2922no—
1779D4—2921no—
1780D4—2921no—
1781D4—2921no—
1782D4—2921no—
1783D4—2921no—
1784D4—2921no—
1785D4—2922no—
1786D4—5841no—
1787D4—5841no—
1788D4—5841no—
1789D4—5841no—
1790D4—5841no—
1791D4—5841no—
1792D4—5841no—
1793D4—5841no—
1794D4—5841no—
1795D4—5841no—
1796D4—1461no—
1797D4—1461no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—42no—
1810C2×C4—81no—
1811C2×C4—2922no—
1812C2×C4—2922no—
1813C2×C4—2922no—
1814C2×C4—2922no—
1815C2×C4—2922no—
1816C2×C4—2922no—
1817C2×C4—2922no—
1818C2×C4—2922no—
1819C2×C4—2922no—
1820C2×C4—5841no—
1821C2×C4—5841no—
1822C2×C4—5841no—
1823C2×C4—731no—
1824C2×C4—732no—
1825C2×C4—732no—
1826C2×C4—731no—
1827C2×C4—731no—
1828C2×C4—731no—
1829C2×C4—1462no—
1830C2×C4—1462no—
1831C2×C4—1462no—
1832C2×C4—1462no—
1833C2×C4—1462no—
1834C2×C4—1462no—
1835C2×C4—1461no—
1836C2×C4—1461no—
1837C2×C4—1461no—
1838C2×C4—1461no—
1839C2×C4—1461no—
1840C2×C4—1461no—
1841C2×C4—1461no—
1842C2×C4—1462no—
1843C2×C4—1462no—
1844C2×C4—1462no—
1845C2×C4—1461no—
1846C2×C4—1461no—
1847C2×C4—1461no—
1848C2×C4—1461no—
1849C2×C4—1461no—
1850C2×C4—1461no—
1851C2×C4C2×D4×D7311yescharacteristic
1852C2×C4C2×D4×D7311yescharacteristic
1853C2×C4C2×D4×D7311yescharacteristic
1854C2×C4C24×D7311yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—1461no—
1860C8—1461no—
1861C8—1461no—
1862C8—1461no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—21no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—84no—
1882C22—2924no—
1883C22—2921no—
1884C22—2921no—
1885C22—2921no—
1886C22—5842no—
1887C22—5842no—
1888C22—5844no—
1889C22—732no—
1890C22—1461no—
1891C22—1461no—
1892C22—1461no—
1893C22—1461no—
1894C22—1461no—
1895C22—1461no—
1896C22—1461no—
1897C22—1461no—
1898C22—1461no—
1899C22—1461no—
1900C22—1461no—
1901C22C22×D4×D7311yescharacteristic
1902C4—21no—
1903C4—21no—
1904C4—21no—
1905C4—41no—
1906C4—41no—
1907C4—41no—
1908C4—41no—
1909C4—41no—
1910C4—2921no—
1911C4—2921no—
1912C4—2921no—
1913C4—2921no—
1914C4—2921no—
1915C4—2921no—
1916C4—2921no—
1917C4—732no—
1918C4—1461no—
1919C4—1461no—
1920C4—1461no—
1921C4H(5,𝔽2)×D7311yescharacteristic
1922C4H(5,𝔽2)×D7311yescharacteristic
1923C2—41no—
1924C2—41no—
1925C2—41no—
1926C2—81no—
1927C2—81no—
1928C2—81no—
1929C2—2921no—
1930C2—2921no—
1931C2—2921no—
1932C2—5841no—
1933C2—1462no—
1934C2#534×D7311yescharacteristic
1935C2#2262469911yescharacteristic
1936C2#2262470311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3198C2
socleC22×C73C23×D4
hypercenter#3198D73
hypocenterC73#60749
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. #22623262C2semidirect
2. #22623259C2semidirect
3. #22620844C2semidirect
4. #22620840C2semidirect
5. #22620831C2semidirect
6. #22620830C2semidirect
7. #22620825C2semidirect
8. #22620815C2semidirect
9. #22620808C2semidirect
10. #22620807C2semidirect
11. #22620806C2semidirect
12. #22620805C2semidirect
13. #22620800C2semidirect
14. #22620794C2semidirect
15. #22620783C2semidirect
16. #22620778C2semidirect
17. #22620776C2semidirect
18. #22619849C2semidirect
19. #22619843C2semidirect
20. #22619841C2semidirect
21. #22619839C2semidirect
22. #22619538C2semidirect
23. #22619535C2semidirect
24. #22619510C2semidirect
25. #22619507C2semidirect
26. #22619150C2semidirect
27. #22619146C2semidirect
28. #22619146C2semidirect
29. #22619144C2semidirect
30. #408×D73C2semidirect
31. C73×#3198C2semidirect
32. C22×#11924027C22semidirect
34. C2×#41×D73C22semidirect
39. C2×M16×D73C22semidirect
40. C22×C8×D73C22semidirect
41. #17989168C22semidirect
44. #17989166C22semidirect
45. #17989166C22semidirect
47. #17989165C22semidirect
51. #17989160C22semidirect
52. #17989158C22semidirect
57. #17989153C22semidirect
69. #17989100C22semidirect
74. #17989097C22semidirect
75. #17989097C22semidirect
76. #17989097C22semidirect
79. C2×#14556549C22semidirect
80. #117×D73C22semidirect
81. #17988931C22semidirect
82. #17988931C22semidirect
83. #17988930C22semidirect
84. #17988930C22semidirect
85. #17988929C22semidirect
86. #17988928C22semidirect
87. #17988925C22semidirect
88. #17988924C22semidirect
89. #17988923C22semidirect
90. #17988922C22semidirect
91. #17988921C22semidirect
92. #17988919C22semidirect
93. #17988918C22semidirect
94. #17988917C22semidirect
95. #17988916C22semidirect
96. #17988912C22semidirect
97. #17988911C22semidirect
98. #17988910C22semidirect
99. #17988910C22semidirect
100. #17988909C22semidirect
101. #17988909C22semidirect
102. #17988908C22semidirect
103. #17988907C22semidirect
104. #17988904C22semidirect
105. #17988903C22semidirect
106. #17988902C22semidirect
107. #17988899C22semidirect
108. #17988898C22semidirect
109. #17988846C22semidirect
110. #17988845C22semidirect
111. #17988844C22semidirect
112. #17988843C22semidirect
113. #17988839C22semidirect
114. #17988838C22semidirect
115. #17988837C22semidirect
116. #17988834C22semidirect
117. #17988833C22semidirect
118. #17988832C22semidirect
119. #17988832C22semidirect
120. #17988831C22semidirect
121. #17988831C22semidirect
122. #17988830C22semidirect
123. #17988829C22semidirect
124. #17988828C22semidirect
125. #17988827C22semidirect
126. #17988826C22semidirect
127. #17988822C22semidirect
128. #17988821C22semidirect
129. #17988820C22semidirect
130. #17988817C22semidirect
131. #17988816C22semidirect
132. #17988815C22semidirect
133. #17988815C22semidirect
134. #17988814C22semidirect
135. #17988814C22semidirect
136. #17988813C22semidirect
137. #17988751C22semidirect
138. #17988751C22semidirect
139. #17988750C22semidirect
140. #17988750C22semidirect
141. #17988749C22semidirect
142. #17988749C22semidirect
143. #17988746C22semidirect
144. #17988746C22semidirect
145. #17988745C22semidirect
146. #17988744C22semidirect
147. #17988744C22semidirect
148. #17988742C22semidirect
149. #17988739C22semidirect
150. #17988739C22semidirect
151. #17988738C22semidirect
152. #17988733C22semidirect
153. #17988733C22semidirect
154. #17988730C22semidirect
155. #17988730C22semidirect
156. #17988729C22semidirect
157. #17988729C22semidirect
158. #17988728C22semidirect
159. #17988725C22semidirect
160. #17988724C22semidirect
161. #17988724C22semidirect
162. #17988721C22semidirect
163. #17988719C22semidirect
164. #17988719C22semidirect
165. #17988624C22semidirect
166. #17988624C22semidirect
167. #17988622C22semidirect
168. #17988622C22semidirect
169. #17988582C22semidirect
170. #17988582C22semidirect
171. #17988580C22semidirect
172. #17988580C22semidirect
173. #17988580C22semidirect
174. #17988580C22semidirect
175. #17988580C22semidirect
176. #17988580C22semidirect
177. #17988555C22semidirect
178. #17988554C22semidirect
179. #17988553C22semidirect
182. #17988552C22semidirect
183. #17988552C22semidirect
184. C22⋊C8×D73C22semidirect
185. C22⋊C8×D73C22semidirect
186. C22⋊C8×D73C22semidirect
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
986. #3198D73semidirect
1000. C73#60749semidirect
1029. #535C2×D73semidirect
1059. #485C2×D73semidirect
1075. #482C2×D73semidirect
1079. #481C2×D73semidirect
1083. #480C2×D73semidirect
1091. #469C2×D73semidirect
1099. #468C2×D73semidirect
1107. #466C2×D73semidirect
1115. #465C2×D73semidirect
1131. #450C2×D73semidirect
1138. #449C2×D73semidirect
1139. #449C2×D73semidirect
1147. #447C2×D73semidirect
1167. #408C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226232622
#226232592
#226208442
#226208402
#226208312
#226208302
#226208252
#226208152
#226208082
#226208072
#226208062
#226208052
#226208002
#226207942
#226207832
#226207782
#226207762
#226198492
#226198432
#226198412
#226198392
#226195382
#226195352
#226195102
#226195072
#226191502
#226191462
#226191442
#408×D732
C73×#31982
#6074973