Finite Group Databasebeta

← #33962468

Subgroups — #33962468

Order 18688.

2164 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623491C211yesmaximal, characteristic, complemented
2#22623414C211yesmaximal, characteristic, complemented
3#22621876C211yesmaximal, characteristic, complemented
4#22621865C211yesmaximal, characteristic, complemented
5#22621854C211yesmaximal, characteristic, complemented
6#22621843C211yesmaximal, characteristic, complemented
7#22621839C211yesmaximal, characteristic, complemented
8#22621828C211yesmaximal, characteristic, complemented
9#22621824C211yesmaximal, characteristic, complemented
10#22621813C211yesmaximal, characteristic, complemented
11#22621802C211yesmaximal, characteristic, complemented
12#22621791C211yesmaximal, characteristic, complemented
13#22621787C211yesmaximal, characteristic, complemented
14#22621776C211yesmaximal, characteristic, complemented
15#22621772C211yesmaximal, characteristic, complemented
16#22621761C211yesmaximal, characteristic, complemented
17#22621750C211yesmaximal, characteristic, complemented
18#22621739C211yesmaximal, characteristic, complemented
19#22620251C211yesmaximal, characteristic, complemented
20#22619848C211yesmaximal, characteristic, complemented
21#22619840C211yesmaximal, characteristic, complemented
22#22619717C211yesmaximal, characteristic, complemented
23#22619511C211yesmaximal, characteristic, complemented
24#22619382C211yesmaximal, characteristic, complemented
25#22619147C211yesmaximal, characteristic, complemented
26#22619145C211yesmaximal, characteristic, complemented
27#22618699C211yesmaximal, characteristic, complemented
28C2×C8×C22⋊D73C211yesmaximal, characteristic, complemented
29C2×#17988584C211yesmaximal, characteristic, complemented
30#416×D73C211yesmaximal, characteristic, complemented
31C73×#3050C211yesmaximal, characteristic, complemented
32C22×#11924028C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic
34C2×#14556611C2211yescharacteristic
35C2×#14556611C2211yescharacteristic, complemented
36C22×C8×D73C2211yescharacteristic, complemented
37#17989308C2211yescharacteristic, complemented
38#17989301C2211yescharacteristic, complemented
39#17989295C2211yescharacteristic
40#17989289C2211yescharacteristic, complemented
41#17989284C2211yescharacteristic, complemented
42#17989279C2211yescharacteristic, complemented
43#17989274—21no—
44#17989271C2211yescharacteristic, complemented
45#17989268—21no—
46#17989260—21no—
47#17989255C2211yescharacteristic
48#17989250C2211yescharacteristic
49#17989247C2211yescharacteristic
50#17989243C2211yescharacteristic
51#17989239C2211yescharacteristic
52#17989237C2211yescharacteristic
53#17989235—21no—
54#17989234C2211yescharacteristic
55#17989229—21no—
56#17989228C2211yescharacteristic
57#17989224—21no—
58#17989224—21no—
59#17989221C2211yescharacteristic
60#17989219—21no—
61#17989140C2211yescharacteristic, complemented
62#17989134—21no—
63#17989133C2211yescharacteristic
64#17989119—21no—
65#17989117—21no—
66#17989117—21no—
67#17989099C2211yescharacteristic
68#17989096—21no—
69#17989096—21no—
70#17989094C2211yescharacteristic, complemented
71#41×Dic73C2211yescharacteristic, complemented
72#17989055C2211yescharacteristic
73C4×#11924027—21no—
74C2×C4×C22⋊D73C2211yescharacteristic
75C4×D4×D73—21no—
76C2×#14556550C2211yescharacteristic, complemented
77#117×D73C2211yescharacteristic, complemented
78#17988943C2211yescharacteristic, complemented
79#17988943C2211yescharacteristic, complemented
80#17988940C2211yescharacteristic, complemented
81#17988940C2211yescharacteristic, complemented
82#17988936C2211yescharacteristic, complemented
83#17988936C2211yescharacteristic, complemented
84#17988932C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic, complemented
86#17988931C2211yescharacteristic, complemented
87#17988930C2211yescharacteristic, complemented
88#17988925C2211yescharacteristic, complemented
89#17988925C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988920C2211yescharacteristic, complemented
92#17988919C2211yescharacteristic, complemented
93#17988915C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic, complemented
95#17988913C2211yescharacteristic, complemented
96#17988908C2211yescharacteristic, complemented
97#17988908C2211yescharacteristic, complemented
98#17988907C2211yescharacteristic, complemented
99#17988903C2211yescharacteristic, complemented
100#17988902C2211yescharacteristic, complemented
101#17988898C2211yescharacteristic, complemented
102#17988897C2211yescharacteristic, complemented
103#17988893C2211yescharacteristic, complemented
104#17988890C2211yescharacteristic, complemented
105#17988886C2211yescharacteristic, complemented
106#17988881C2211yescharacteristic, complemented
107#17988876C2211yescharacteristic, complemented
108#17988871C2211yescharacteristic, complemented
109#17988866C2211yescharacteristic, complemented
110#17988827C2211yescharacteristic, complemented
111#17988827C2211yescharacteristic, complemented
112#17988822C2211yescharacteristic, complemented
113#17988822C2211yescharacteristic, complemented
114#17988819C2211yescharacteristic, complemented
115#17988819C2211yescharacteristic, complemented
116#17988815C2211yescharacteristic, complemented
117#17988815C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988807C2211yescharacteristic, complemented
120#17988804C2211yescharacteristic, complemented
121#17988800C2211yescharacteristic, complemented
122#17988795C2211yescharacteristic, complemented
123#17988790C2211yescharacteristic, complemented
124#17988785C2211yescharacteristic, complemented
125#17988780C2211yescharacteristic, complemented
126#17988748C2211yescharacteristic, complemented
127#17988747C2211yescharacteristic, complemented
128#17988747C2211yescharacteristic, complemented
129#17988746C2211yescharacteristic, complemented
130#17988742C2211yescharacteristic, complemented
131#17988741C2211yescharacteristic, complemented
132#17988737C2211yescharacteristic, complemented
133#17988736C2211yescharacteristic, complemented
134#17988731C2211yescharacteristic, complemented
135#17988730C2211yescharacteristic, complemented
136#17988730C2211yescharacteristic, complemented
137#17988729C2211yescharacteristic, complemented
138#17988725C2211yescharacteristic, complemented
139#17988724C2211yescharacteristic, complemented
140#17988720C2211yescharacteristic, complemented
141#17988719C2211yescharacteristic, complemented
142#17988679C2211yescharacteristic, complemented
143#17988679C2211yescharacteristic, complemented
144#17988678C2211yescharacteristic, complemented
145#17988678C2211yescharacteristic, complemented
146#17988672C2211yescharacteristic, complemented
147#17988672C2211yescharacteristic, complemented
148#17988667C2211yescharacteristic, complemented
149#17988667C2211yescharacteristic, complemented
150C8×C22⋊D73C2211yescharacteristic
151C8×C22⋊D73C2211yescharacteristic
152C8×C22⋊D73C2211yescharacteristic, complemented
153C8×C22⋊D73C2211yescharacteristic, complemented
154C8×C22⋊D73C2211yescharacteristic, complemented
155C8×C22⋊D73C2211yescharacteristic, complemented
156C8×C22⋊D73C2211yescharacteristic, complemented
157C8×C22⋊D73C2211yescharacteristic, complemented
158#17988623C2211yescharacteristic, complemented
159#17988623C2211yescharacteristic, complemented
160C2×#14556520C2211yescharacteristic, complemented
161#17988584C2211yescharacteristic
162#17988584C2211yescharacteristic
163#17988584C2211yescharacteristic, complemented
164#17988584C2211yescharacteristic, complemented
165#17988584C2211yescharacteristic, complemented
166#17988584C2211yescharacteristic, complemented
167#17988584C2211yescharacteristic, complemented
168#17988584C2211yescharacteristic, complemented
169#17988583C2211yescharacteristic, complemented
170#17988583C2211yescharacteristic, complemented
171#17988582C2211yescharacteristic, complemented
172#17988582C2211yescharacteristic, complemented
173#17988581C2211yescharacteristic
174#17988581C2211yescharacteristic, complemented
175#17988580C2211yescharacteristic, complemented
176#17988580C2211yescharacteristic, complemented
177C2×#14556516C2211yescharacteristic, complemented
178C2×#14556516C2211yescharacteristic, complemented
179#103×D73C2211yescharacteristic, complemented
180#103×D73C2211yescharacteristic, complemented
181C2×#14556513C2211yescharacteristic, complemented
182C2×#14556513C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185C2×C22⋊#10596831C2211yescharacteristic, complemented
186C2×#14556503C2211yescharacteristic, complemented
187C2×C8×Dic73C2211yescharacteristic, complemented
188C2×#135×C73C2211yescharacteristic, complemented
189C23×C8×C73C2211yescharacteristic, complemented
190#525×C73C2211yescharacteristic
191#525×C73C2211yescharacteristic, complemented
192#467×C73C2211yescharacteristic, complemented
193#467×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic, complemented
195#466×C73C2211yescharacteristic, complemented
196#465×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#465×C73C2211yescharacteristic, complemented
199#465×C73C2211yescharacteristic, complemented
200#427×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028—24no—
206C2×#11924028—21no—
207C2×#11924028—21no—
208C2×#11924028—42no—
209C2×#11924028C2311yescharacteristic
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924027—21no—
214C2×#11924027—21no—
215C2×#11924027C2311yescharacteristic
216#41×D73—24no—
217#41×D73—42no—
218C22×Dic146C2311yescharacteristic
219C2×Q8×D73C2311yescharacteristic
220C22×D292C2311yescharacteristic
221C22×C22⋊D73—21no—
222C22×C22⋊D73D411yescharacteristic
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73C2311yescharacteristic
226C22×C4×D73—21no—
227C22×C4×D73—21no—
228C22×C4×D73C2311yescharacteristic
229#14556611—24no—
230#14556611—42no—
231C2×#11924018C2311yescharacteristic
232C2×#11924018C2311yescharacteristic
233C2×#11924016C2311yescharacteristic
234C2×#11924016C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C22×#10596831C2311yescharacteristic
240C22×#10596831C2311yescharacteristic
241C2×C8×D73—42no—
242C2×C8×D73C2311yescharacteristic
243C2×C8×D73C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246#14556590—21no—
247#14556590C2311yescharacteristic
248#14556590C2311yescharacteristic
249#14556589C2311yescharacteristic
250#14556587—21no—
251#14556587C2311yescharacteristic
252#14556586—21no—
253#14556586—21no—
254#14556584—21no—
255#14556584—21no—
256#14556584—21no—
257#14556584—21no—
258#14556582—21no—
259#14556582C2311yescharacteristic
260#14556582C2311yescharacteristic
261#14556581—21no—
262#14556581—21no—
263#14556580C2311yescharacteristic
264#14556578—21no—
265#14556578C2311yescharacteristic
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556577—21no—
270#14556576—21no—
271#14556576—21no—
272#14556575—21no—
273#14556575—21no—
274#14556575—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556572—21no—
280#14556572—21no—
281#14556572—21no—
282#14556571—21no—
283#14556571C2311yescharacteristic
284#14556571C2311yescharacteristic
285#14556569—21no—
286#14556569—21no—
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556568—21no—
293#14556567C2311yescharacteristic
294#14556567C2311yescharacteristic
295#14556566—21no—
296#14556566C2311yescharacteristic
297#14556566C2311yescharacteristic
298#14556564—21no—
299#14556564—21no—
300#14556564—21no—
301#14556564—21no—
302#14556563—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556562—21no—
309#14556562—21no—
310#14556562C2311yescharacteristic
311#14556562C2311yescharacteristic
312#14556561—21no—
313#14556561—21no—
314#14556561—21no—
315#14556559—21no—
316#14556559—21no—
317#14556559—21no—
318Q8×Dic73C2311yescharacteristic
319Q8×Dic73C2311yescharacteristic
320C4×Dic146—21no—
321C4×Dic146—21no—
322#14556556—21no—
323#14556556C2311yescharacteristic
324#14556556C2311yescharacteristic
325C4×D292—21no—
326C4×D292—21no—
327D4×Dic73—21no—
328D4×Dic73—21no—
329D4×Dic73—21no—
330D4×Dic73—21no—
331D4×Dic73C2311yescharacteristic
332D4×Dic73C2311yescharacteristic
333#14556553—21no—
334#14556553C2311yescharacteristic
335#14556553C2311yescharacteristic
336C4×C22⋊D73—21no—
337C4×C22⋊D73—21no—
338C4×C22⋊D73—21no—
339C4×C22⋊D73—21no—
340C4×C22⋊D73D411yescharacteristic
341C4×C22⋊D73D411yescharacteristic
342C4×C22⋊D73D411yescharacteristic
343C4×C22⋊D73D411yescharacteristic
344C4×C22⋊D73C2311yescharacteristic
345C4×C22⋊D73C2311yescharacteristic
346C4×C22⋊D73C2311yescharacteristic
347C4×C22⋊D73C2311yescharacteristic
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556550—21no—
355#14556550—21no—
356#14556550—21no—
357#14556550C2311yescharacteristic
358#14556550C2311yescharacteristic
359#14556550C2311yescharacteristic
360#14556550C2311yescharacteristic
361#14556549—21no—
362#14556549C2311yescharacteristic
363#14556549C2311yescharacteristic
364#14556548—21no—
365#14556548—21no—
366#14556547—21no—
367#14556547—21no—
368#14556547—21no—
369C2×C4⋊Dic73C2311yescharacteristic
370C2×C4⋊Dic73C2311yescharacteristic
371C2×#11924007D411yescharacteristic
372C4⋊C4×D73—21no—
373C4⋊C4×D73C2311yescharacteristic
374C4⋊C4×D73C2311yescharacteristic
375C2×C22⋊Dic73—21no—
376C2×C22⋊Dic73D411yescharacteristic
377C2×#11924005D411yescharacteristic
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C2×C4×Dic73—21no—
382C2×C4×Dic73—21no—
383C2×C4×Dic73C2311yescharacteristic
384C42×D73—21no—
385C42×D73—21no—
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556520C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556516C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C8×Dic73C2311yescharacteristic
442C2×#41×C73C2311yescharacteristic
443C2×#41×C73C2311yescharacteristic
444C23×C4×C73C2311yescharacteristic
445#135×C73—42no—
446C2×Q16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×D8×C73C2311yescharacteristic
450C22×C8×C73—42no—
451C22×C8×C73C2311yescharacteristic
452C22×C8×C73C2311yescharacteristic
453C22×C8×C73C2311yescharacteristic
454C22×C8×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456C22×C8×C73C2311yescharacteristic
457#123×C73—21no—
458#123×C73—21no—
459C22⋊Q8×C73C2311yescharacteristic
460C22⋊Q8×C73C2311yescharacteristic
461C22⋊Q8×C73C2311yescharacteristic
462C22⋊Q8×C73C2311yescharacteristic
463#121×C73C2311yescharacteristic
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#121×C73C2311yescharacteristic
467#120×C73—21no—
468#120×C73—21no—
469C4×D4×C73—21no—
470C4×D4×C73—21no—
471C4×D4×C73—21no—
472C4×D4×C73—21no—
473#117×C73C2311yescharacteristic
474#117×C73C2311yescharacteristic
475#107×C73C2311yescharacteristic
476#107×C73C2311yescharacteristic
477#106×C73C2311yescharacteristic
478#106×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C23×D73—21no—
488C23×D73—21no—
489C23×D73C2×D411yescharacteristic
490#11924029—22no—
491#11924029—41no—
492#11924028—22no—
493#11924028—22no—
494#11924028—22no—
495#11924028—22no—
496#11924028—22no—
497#11924028—41no—
498#11924028—41no—
499#11924028—44no—
500#11924028—44no—
501#11924028—44no—
502#11924028#4114yescomplemented
503#11924027—22no—
504#11924027—41no—
505#11924027—44no—
506#11924027—44no—
507C2×Dic146—22no—
508C2×Dic146—21no—
509C2×Dic146—21no—
510C2×Dic146—21no—
511C2×Dic146—21no—
512C2×Dic146—41no—
513C2×Dic146C2411yescharacteristic
514C2×Dic146C2411yescharacteristic
515Q8×D73—22no—
516Q8×D73—41no—
517C2×D292—22no—
518C2×D292—21no—
519C2×D292—21no—
520C2×D292—21no—
521C2×D292—21no—
522C2×D292—41no—
523C2×D292C2411yescharacteristic
524C2×D292C2411yescharacteristic
525C2×C22⋊D73—21no—
526C2×C22⋊D73—24no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—44no—
537C2×C22⋊D73C2×D411yescharacteristic
538C2×C22⋊D73C2×D411yescharacteristic
539C2×C22⋊D73C2×D411yescharacteristic
540C2×C22⋊D73C2×D411yescharacteristic
541D4×D73—22no—
542D4×D73—41no—
543D4×D73—44no—
544D4×D73—44no—
545C22×Dic73—21no—
546C22×Dic73—21no—
547C22×Dic73—21no—
548C22×Dic73—21no—
549C22×Dic73—21no—
550C22×Dic73—21no—
551C22×Dic73C2×D411yescharacteristic
552C22×Dic73C2×D411yescharacteristic
553C22×Dic73C2×D411yescharacteristic
554C2×C4×D73—21no—
555C2×C4×D73—22no—
556C2×C4×D73—22no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—21no—
564C2×C4×D73—21no—
565C2×C4×D73—21no—
566C2×C4×D73—44no—
567C2×C4×D73—44no—
568C2×C4×D73C2×D411yescharacteristic
569C2×C4×D73C2×D411yescharacteristic
570C2×C4×D73C2411yescharacteristic
571C2×C4×D73C2411yescharacteristic
572#11924018—22no—
573#11924018—41no—
574#11924016—22no—
575#11924016—41no—
576#11924015—22no—
577#11924015—41no—
578#11924013—22no—
579#11924013—41no—
580C2×#10596831—22no—
581C2×#10596831—22no—
582C2×#10596831C2411yescharacteristic
583C2×#10596831C2411yescharacteristic
584C2×#10596831C2411yescharacteristic
585C2×#10596831C2411yescharacteristic
586C8×D73—41no—
587C8×D73—41no—
588C8×D73—41no—
589C8×D73—41no—
590C4⋊Dic73—21no—
591C4⋊Dic73—21no—
592C4⋊Dic73—21no—
593C4⋊Dic73—21no—
594C4⋊Dic73—21no—
595C4⋊Dic73—21no—
596C4⋊Dic73—21no—
597C4⋊Dic73—21no—
598C4⋊Dic73C2411yescharacteristic
599C4⋊Dic73C2411yescharacteristic
600C4⋊Dic73C2411yescharacteristic
601C4⋊Dic73C2411yescharacteristic
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
614#11924007C2×D411yescharacteristic
615#11924007C2×D411yescharacteristic
616#11924007C2×D411yescharacteristic
617#11924007C2×D411yescharacteristic
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73—21no—
623C22⋊Dic73—21no—
624C22⋊Dic73—21no—
625C22⋊Dic73—21no—
626C22⋊Dic73—21no—
627C22⋊Dic73—21no—
628C22⋊Dic73C2×D411yescharacteristic
629C22⋊Dic73C2×D411yescharacteristic
630C22⋊Dic73C2×D411yescharacteristic
631C22⋊Dic73C2×D411yescharacteristic
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005C2×D411yescharacteristic
645#11924005C2×D411yescharacteristic
646#11924005C2×D411yescharacteristic
647#11924005C2×D411yescharacteristic
648C4×Dic73—21no—
649C4×Dic73—21no—
650C4×Dic73—21no—
651C4×Dic73—21no—
652C4×Dic73—21no—
653C4×Dic73—21no—
654C4×Dic73—21no—
655C4×Dic73—21no—
656C4×Dic73—21no—
657C4×Dic73—21no—
658C4×Dic73C2×D411yescharacteristic
659C4×Dic73C2×D411yescharacteristic
660C4×Dic73C2411yescharacteristic
661C4×Dic73C2411yescharacteristic
662C24×C73C2×D411yescharacteristic
663#41×C73—22no—
664#41×C73—22no—
665#41×C73—22no—
666#41×C73—22no—
667C2×Q8×C73C2411yescharacteristic
668C2×Q8×C73C2411yescharacteristic
669C2×D4×C73—21no—
670C2×D4×C73—21no—
671C2×D4×C73—21no—
672C2×D4×C73—21no—
673C2×D4×C73—21no—
674C2×D4×C73—21no—
675C2×D4×C73C2411yescharacteristic
676C2×D4×C73C2411yescharacteristic
677C22×C4×C73—22no—
678C22×C4×C73—22no—
679C22×C4×C73—21no—
680C22×C4×C73—21no—
681C22×C4×C73C2×D411yescharacteristic
682C22×C4×C73C2×D411yescharacteristic
683C22×C4×C73C2×D411yescharacteristic
684C22×C4×C73C2411yescharacteristic
685C22×C4×C73C2411yescharacteristic
686C22×C4×C73C2411yescharacteristic
687Q16×C73—41no—
688SD16×C73—41no—
689SD16×C73—41no—
690D8×C73—41no—
691C2×C8×C73—22no—
692C2×C8×C73—22no—
693C2×C8×C73—41no—
694C2×C8×C73—41no—
695C2×C8×C73—41no—
696C2×C8×C73—41no—
697C2×C8×C73C2411yescharacteristic
698C2×C8×C73C2411yescharacteristic
699C2×C8×C73C2411yescharacteristic
700C2×C8×C73C2411yescharacteristic
701C4⋊C4×C73—21no—
702C4⋊C4×C73—21no—
703C4⋊C4×C73—21no—
704C4⋊C4×C73—21no—
705C4⋊C4×C73C2411yescharacteristic
706C4⋊C4×C73C2411yescharacteristic
707C4⋊C4×C73C2411yescharacteristic
708C4⋊C4×C73C2411yescharacteristic
709C22⋊C4×C73—21no—
710C22⋊C4×C73—21no—
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73—21no—
716C22⋊C4×C73—21no—
717C22⋊C4×C73—21no—
718C22⋊C4×C73—21no—
719C42×C73—21no—
720C42×C73—21no—
721C23×C73—22no—
722C23×C73—22no—
723C23×C73—21no—
724C23×C73—21no—
725C23×C73—41no—
726C23×C73C22×D411yescharacteristic
727C23×C73C22×D411yescharacteristic
728C23×C73C22×D411yescharacteristic
729C22×D73—22no—
730C22×D73—21no—
731C22×D73—22no—
732C22×D73—21no—
733C22×D73—41no—
734C22×D73—42no—
735C22×D73—42no—
736C22×D73—42no—
737C22×D73—42no—
738C22×D73—81no—
739C22×D73—81no—
740C22×D73C22×D411yescharacteristic
741C22×D73C22×D411yescharacteristic
742Q8×C73—21no—
743Q8×C73—21no—
744Q8×C73—21no—
745Q8×C73—21no—
746D4×C73—21no—
747D4×C73—21no—
748D4×C73—21no—
749D4×C73—21no—
750D4×C73—42no—
751D4×C73—42no—
752D4×C73—42no—
753D4×C73—42no—
754D4×C73—81no—
755D4×C73—81no—
756C2×C4×C73—22no—
757C2×C4×C73—22no—
758C2×C4×C73—22no—
759C2×C4×C73—21no—
760C2×C4×C73—21no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—21no—
764C2×C4×C73—21no—
765C2×C4×C73—21no—
766C2×C4×C73—21no—
767C2×C4×C73—21no—
768C2×C4×C73—21no—
769C2×C4×C73—42no—
770C2×C4×C73—42no—
771C2×C4×C73C22×D411yescharacteristic
772C2×C4×C73C22×D411yescharacteristic
773C2×C4×C73C22×D411yescharacteristic
774C2×C4×C73C2×#4112yes—
775C2×C4×C73H(5,𝔽2)12yes—
776C2×C4×C73C2511yescharacteristic
777C22⋊D73—24no—
778C22⋊D73—22no—
779C22⋊D73—22no—
780C22⋊D73—22no—
781C22⋊D73—42no—
782C22⋊D73—42no—
783C22⋊D73—42no—
784C22⋊D73—42no—
785C22⋊D73—42no—
786C22⋊D73—42no—
787C22⋊D73—42no—
788C22⋊D73—81no—
789C22⋊D73—81no—
790C22⋊D73#13514yescomplemented
791C2×Dic73—22no—
792C2×Dic73—21no—
793C2×Dic73—22no—
794C2×Dic73—21no—
795C2×Dic73—21no—
796C2×Dic73—21no—
797C2×Dic73—21no—
798C2×Dic73—21no—
799C2×Dic73—41no—
800C2×Dic73—42no—
801C2×Dic73—42no—
802C2×Dic73—42no—
803C2×Dic73—42no—
804C2×Dic73—81no—
805C2×Dic73—81no—
806C2×Dic73C22×D411yescharacteristic
807C2×Dic73C22×D411yescharacteristic
808C2×Dic73C22×D411yescharacteristic
809C2×Dic73C22×D411yescharacteristic
810C2×Dic73C22×D411yescharacteristic
811C2×Dic73C22×D411yescharacteristic
812D292—21no—
813D292—21no—
814D292—21no—
815D292—42no—
816D292—42no—
817D292—42no—
818D292—81no—
819D292C2×#4112yes—
820C4×D73—22no—
821C4×D73—22no—
822C4×D73—24no—
823C4×D73—21no—
824C4×D73—21no—
825C4×D73—21no—
826C4×D73—21no—
827C4×D73—42no—
828C4×D73—42no—
829C4×D73—42no—
830C4×D73—42no—
831C4×D73—42no—
832C4×D73—42no—
833C4×D73—42no—
834C4×D73—81no—
835C4×D73—81no—
836Dic146—21no—
837Dic146—21no—
838Dic146—21no—
839Dic146—42no—
840Dic146—42no—
841Dic146—42no—
842Dic146—81no—
843Dic146C2×#4112yes—
844C8×C73—21no—
845C8×C73—21no—
846C8×C73—21no—
847C8×C73—21no—
848#10596831—21no—
849#10596831—21no—
850#10596831—21no—
851#10596831—21no—
852C22×C73—21no—
853C22×C73—21no—
854C22×C73—21no—
855C22×C73—21no—
856C22×C73—21no—
857C22×C73—21no—
858C22×C73—21no—
859C22×C73—44no—
860C22×C73—41no—
861C22×C73—41no—
862C22×C73—41no—
863C22×C73—41no—
864C22×C73—41no—
865C22×C73—41no—
866C22×C73#54612yes—
867C22×C73C2×#13512yes—
868C22×C73C23×D411yescharacteristic
869C2×D73—21no—
870C2×D73—21no—
871C2×D73—21no—
872C2×D73—21no—
873C2×D73—22no—
874C2×D73—21no—
875C2×D73—44no—
876C2×D73—41no—
877C2×D73—41no—
878C2×D73—41no—
879C2×D73—41no—
880C2×D73—41no—
881C2×D73—84no—
882C2×D73—84no—
883C2×D73C2×#13512yes—
884C4×C73—21no—
885C4×C73—21no—
886C4×C73—41no—
887C4×C73—41no—
888C4×C73—41no—
889C4×C73—41no—
890C4×C73—41no—
891C4×C73—41no—
892C4×C73#54612yes—
893C4×C73C22×#4111yescharacteristic
894C4×C73C2×H(5,𝔽2)11yescharacteristic
895Dic73—21no—
896Dic73—21no—
897Dic73—22no—
898Dic73—21no—
899Dic73—21no—
900Dic73—21no—
901Dic73—41no—
902Dic73—41no—
903Dic73—41no—
904Dic73—41no—
905Dic73—41no—
906Dic73C2×#13512yes—
907#61124—731nomaximal, Sylow
908C2×C73—22no—
909C2×C73—22no—
910C2×C73—41no—
911C2×C73—81no—
912C2×C73—81no—
913C2×C73C2×#54611yescharacteristic
914C2×C73C22×#13511yescharacteristic
915C2×C73#358411yescharacteristic
916D73—22no—
917D73—41no—
918D73—42no—
919D73—81no—
920#3475—731no—
921D4×#41—731no—
922#3305—731no—
923#3304—731no—
924#3303—731no—
925#3302—731no—
926#3301—731no—
927#3301—731no—
928#3300—731no—
929#3300—731no—
930#3299—731no—
931#3298—731no—
932#3297—731no—
933#3297—731no—
934#3296—731no—
935#3296—731no—
936#3295—731no—
937#3294—731no—
938#3131—731no—
939#3091—731no—
940#3091—731no—
941#3076—731no—
942#3050—731no—
943#3050D7311yescharacteristic, complemented
944#3035—731no—
945#3002—731no—
946#3002—731no—
947C4×#135—731no—
948C2×C8×D4—731no—
949C2×#416—731no—
950C2×#416—731no—
951C73#6112411yescharacteristic, complemented, Sylow
952C22×#41—731no—
953C22×#41—731no—
954C2×#135—731no—
955C2×#135—731no—
956C2×#135C2×D7311yescharacteristic, complemented
957C23×C8—731no—
958C23×C8C2×D7311yescharacteristic, complemented
959#556—731no—
960#555—731no—
961#554—731no—
962#553—731no—
963#553—731no—
964#552—731no—
965#552—731no—
966#552—1461no—
967#551—1461no—
968#551—1461no—
969#550—731no—
970D4×Q8—731no—
971#548—731no—
972#548—731no—
973#547—731no—
974#547—731no—
975#547—1461no—
976#546—731no—
977#546—731no—
978#546—1461no—
979#546—1461no—
980#546—1461no—
981D42—731no—
982D42—1461no—
983#533—731no—
984#532—731no—
985#532—1461no—
986#529—1461no—
987#529—1461no—
988#529—1461no—
989#525—731no—
990#525—731no—
991#525—1461no—
992#525—1461no—
993#525C2×D7311yescharacteristic
994#525C2×D7311yescharacteristic, complemented
995C4×#41—731no—
996C4×#41—731no—
997C4×#41—1461no—
998C2×C4×D4—731no—
999C2×C4×D4—1461no—
1000C2×#117—731no—
1001C2×#117—731no—
1002#488—731no—
1003#488—731no—
1004#488—731no—
1005#488—731no—
1006#487—731no—
1007#487—731no—
1008#486—731no—
1009#486—731no—
1010#485—731no—
1011#485—731no—
1012#485—731no—
1013#485—731no—
1014#484—731no—
1015#484—731no—
1016#483—731no—
1017#483—731no—
1018#482—731no—
1019#482—731no—
1020#482—731no—
1021#482—731no—
1022#481—731no—
1023#481—731no—
1024#480—731no—
1025#480—731no—
1026#479—731no—
1027#479—731no—
1028#478—731no—
1029#478—731no—
1030#477—731no—
1031#476—731no—
1032#475—731no—
1033#474—731no—
1034#467—731no—
1035#467—731no—
1036#467C2×D7311yescharacteristic, complemented
1037#467C2×D7311yescharacteristic, complemented
1038#466—731no—
1039#466—731no—
1040#466C2×D7311yescharacteristic, complemented
1041#466C2×D7311yescharacteristic, complemented
1042#465—731no—
1043#465—731no—
1044#465—731no—
1045#465—731no—
1046#465C2×D7311yescharacteristic, complemented
1047#465C2×D7311yescharacteristic, complemented
1048#465C2×D7311yescharacteristic, complemented
1049#465C2×D7311yescharacteristic, complemented
1050#464—731no—
1051#464—731no—
1052#463—731no—
1053#463—731no—
1054#462—731no—
1055#461—731no—
1056#460—731no—
1057#459—731no—
1058#452—731no—
1059#452—731no—
1060#452—731no—
1061#452—731no—
1062#451—731no—
1063#451—731no—
1064#450—731no—
1065#450—731no—
1066#449—731no—
1067#449—731no—
1068#449—731no—
1069#449—731no—
1070#448—731no—
1071#448—731no—
1072#447—731no—
1073#447—731no—
1074C4×Q16—731no—
1075C4×Q16—731no—
1076C4×SD16—731no—
1077C4×SD16—731no—
1078C4×SD16—731no—
1079C4×SD16—731no—
1080C4×D8—731no—
1081C4×D8—731no—
1082C8×D4—731no—
1083C8×D4—731no—
1084C8×D4—731no—
1085C8×D4—731no—
1086C8×D4—731no—
1087C8×D4—731no—
1088C8×D4—731no—
1089C8×D4—731no—
1090#427—731no—
1091#427—731no—
1092#427C2×D7311yescharacteristic, complemented
1093C2×C4⋊C8—731no—
1094#416—731no—
1095#416—731no—
1096#416—731no—
1097#416—731no—
1098#416—731no—
1099#416—731no—
1100#416—731no—
1101#416—731no—
1102#416—731no—
1103#416—731no—
1104#416—731no—
1105#416—731no—
1106#416—731no—
1107#416—731no—
1108#416—731no—
1109#416—731no—
1110#416C2×D7311yescharacteristic, complemented
1111#416C2×D7311yescharacteristic, complemented
1112C2×#103—731no—
1113C2×#103—731no—
1114C2×#103—731no—
1115C2×#103—731no—
1116C2×#102—731no—
1117C2×#102—731no—
1118C2×#102—731no—
1119C2×#102—731no—
1120C2×C22⋊C8—731no—
1121C2×C22⋊C8—731no—
1122C2×C4×C8—731no—
1123C2×#41—2922no—
1124C2×#41—2922no—
1125C2×#41—731no—
1126C2×#41—731no—
1127C2×#41—731no—
1128C2×#41—731no—
1129C2×#41—731no—
1130C2×#41—731no—
1131C2×#41—1464no—
1132C2×#41—1461no—
1133C2×#41—1464no—
1134C2×#41—1461no—
1135C2×#41—1461no—
1136C2×#41—1461no—
1137C2×#41—1461no—
1138C2×#41C22×D7311yescharacteristic
1139C2×#41C22×D7311yescharacteristic
1140C22×Q8—731no—
1141C22×Q8—731no—
1142C22×D4—731no—
1143C22×D4—731no—
1144C22×D4—731no—
1145C22×D4—1461no—
1146C22×D4—1461no—
1147C22×D4—1461no—
1148C23×C4—731no—
1149C23×C4—1461no—
1150C23×C4—1461no—
1151C23×C4C22×D7311yescharacteristic
1152#135—42no—
1153#135—2922no—
1154#135—1464no—
1155C2×Q16—731no—
1156C2×Q16—731no—
1157C2×Q16C22×D7311yescharacteristic
1158C2×SD16—731no—
1159C2×SD16—731no—
1160C2×SD16—731no—
1161C2×SD16—731no—
1162C2×SD16C22×D7311yescharacteristic
1163C2×SD16C22×D7311yescharacteristic
1164C2×D8—731no—
1165C2×D8—731no—
1166C2×D8C22×D7311yescharacteristic
1167C22×C8—42no—
1168C22×C8—2922no—
1169C22×C8—731no—
1170C22×C8—731no—
1171C22×C8—731no—
1172C22×C8—731no—
1173C22×C8—731no—
1174C22×C8—731no—
1175C22×C8C22×D7311yescharacteristic
1176C22×C8C22×D7311yescharacteristic
1177C22×C8C22×D7311yescharacteristic
1178C22×C8C22×D7311yescharacteristic
1179C22×C8C22×D7311yescharacteristic
1180C22×C8C22×D7311yescharacteristic
1181C4⋊Q8—731no—
1182C4⋊Q8—731no—
1183C4⋊Q8—731no—
1184C4⋊Q8—1461no—
1185#127—731no—
1186#127—1461no—
1187#126—1461no—
1188#126—1461no—
1189#126—1461no—
1190#126—1461no—
1191#126—1461no—
1192#126—1461no—
1193#125—731no—
1194#125—731no—
1195#125—1461no—
1196#125—1461no—
1197#125—1461no—
1198#124—731no—
1199#124—731no—
1200#124—1461no—
1201#124—1461no—
1202#124—1461no—
1203#124—1461no—
1204#124—1461no—
1205#123—21no—
1206#123—21no—
1207#123—1461no—
1208#123—1461no—
1209#123—1461no—
1210#123—1461no—
1211#123—1461no—
1212#123—1461no—
1213#123—1461no—
1214#123—1461no—
1215#123—1461no—
1216#123—1461no—
1217#123—1461no—
1218#123—1461no—
1219C22⋊Q8—731no—
1220C22⋊Q8—731no—
1221C22⋊Q8—731no—
1222C22⋊Q8—731no—
1223C22⋊Q8—1461no—
1224C22⋊Q8—1461no—
1225C22⋊Q8—1461no—
1226C22⋊Q8—1461no—
1227C22⋊Q8—1461no—
1228C22⋊Q8—1461no—
1229C22⋊Q8—1461no—
1230C22⋊Q8—1461no—
1231C22⋊Q8—1461no—
1232C22⋊Q8C22×D7311yescharacteristic
1233C22⋊Q8C22×D7311yescharacteristic
1234C22⋊Q8C22×D7311yescharacteristic
1235C22⋊Q8C22×D7311yescharacteristic
1236#121—731no—
1237#121—731no—
1238#121—731no—
1239#121—731no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121—1461no—
1251#121—1461no—
1252#121—1461no—
1253#121C22×D7311yescharacteristic
1254#121C22×D7311yescharacteristic
1255#121C22×D7311yescharacteristic
1256#121C22×D7311yescharacteristic
1257#120—21no—
1258#120—21no—
1259#120—1461no—
1260#120—1461no—
1261#120—1461no—
1262#120—1461no—
1263#120—1461no—
1264#120—1461no—
1265C4×Q8—731no—
1266C4×Q8—731no—
1267C4×Q8—731no—
1268C4×Q8—731no—
1269C4×Q8—1461no—
1270C4×Q8—1461no—
1271C4×Q8—1461no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—731no—
1281C4×D4—731no—
1282C4×D4—731no—
1283C4×D4—731no—
1284C4×D4—731no—
1285C4×D4—731no—
1286C4×D4—731no—
1287C4×D4—731no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4—1461no—
1296C4×D4—1461no—
1297C4×D4—1461no—
1298C4×D4—1461no—
1299C4×D4—1461no—
1300C4×D4—1461no—
1301C4×D4—1461no—
1302C4×D4—1461no—
1303C4×D4—1461no—
1304C4×D4—1461no—
1305#117—731no—
1306#117—731no—
1307#117—731no—
1308#117—731no—
1309#117—731no—
1310#117—731no—
1311#117—1461no—
1312#117—1461no—
1313#117—1461no—
1314#117—1461no—
1315#117—1461no—
1316#117—1461no—
1317#117—1461no—
1318#117—1461no—
1319#117—1461no—
1320#117C22×D7311yescharacteristic
1321#117C22×D7311yescharacteristic
1322C2×C4⋊C4—731no—
1323C2×C4⋊C4—731no—
1324C2×C4⋊C4—731no—
1325C2×C4⋊C4—731no—
1326C2×C4⋊C4—731no—
1327C2×C4⋊C4—1461no—
1328C2×C22⋊C4—731no—
1329C2×C22⋊C4—731no—
1330C2×C22⋊C4—1461no—
1331C2×C22⋊C4—1461no—
1332C2×C22⋊C4—1461no—
1333C2×C22⋊C4—1461no—
1334C2×C42—731no—
1335C2×C42—1461no—
1336C2×C42—1461no—
1337C2×C42—1461no—
1338C2×C42—1461no—
1339#107—731no—
1340#107—731no—
1341#107—731no—
1342#107—731no—
1343#107C22×D7311yescharacteristic
1344#107C22×D7311yescharacteristic
1345#106—731no—
1346#106—731no—
1347#106—731no—
1348#106—731no—
1349#106C22×D7311yescharacteristic
1350#106C22×D7311yescharacteristic
1351C4⋊C8—731no—
1352C4⋊C8—731no—
1353C4⋊C8—731no—
1354C4⋊C8—731no—
1355#103—731no—
1356#103—731no—
1357#103—731no—
1358#103—731no—
1359#103—731no—
1360#103—731no—
1361#103—731no—
1362#103—731no—
1363#103—731no—
1364#103—731no—
1365#103—731no—
1366#103—731no—
1367#103—731no—
1368#103—731no—
1369#103—731no—
1370#103—731no—
1371#103C22×D7311yescharacteristic
1372#103C22×D7311yescharacteristic
1373#103C22×D7311yescharacteristic
1374#103C22×D7311yescharacteristic
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102—731no—
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102—731no—
1391#102C22×D7311yescharacteristic
1392#102C22×D7311yescharacteristic
1393#102C22×D7311yescharacteristic
1394#102C22×D7311yescharacteristic
1395C22⋊C8—731no—
1396C22⋊C8—731no—
1397C22⋊C8—731no—
1398C22⋊C8—731no—
1399C22⋊C8—731no—
1400C22⋊C8—731no—
1401C22⋊C8—731no—
1402C22⋊C8—731no—
1403C4×C8—731no—
1404C4×C8—731no—
1405C4×C8—731no—
1406C4×C8—731no—
1407C24—731no—
1408C24—1461no—
1409C24—1461no—
1410C24D4×D7311yescharacteristic
1411#41—22no—
1412#41—22no—
1413#41—22no—
1414#41—22no—
1415#41—2924no—
1416#41—2921no—
1417#41—2921no—
1418#41—2924no—
1419#41—2924no—
1420#41—2924no—
1421#41—2921no—
1422#41—2924no—
1423#41—2921no—
1424#41—734no—
1425#41—1462no—
1426#41—1462no—
1427#41—1462no—
1428#41—1462no—
1429#41—1462no—
1430#41—1462no—
1431#41—1462no—
1432C2×Q8—2921no—
1433C2×Q8—2921no—
1434C2×Q8—731no—
1435C2×Q8—731no—
1436C2×Q8—1462no—
1437C2×Q8—1461no—
1438C2×Q8—1461no—
1439C2×Q8—1461no—
1440C2×Q8—1462no—
1441C2×Q8—1461no—
1442C2×Q8C23×D7311yescharacteristic
1443C2×Q8C23×D7311yescharacteristic
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—2921no—
1451C2×D4—2924no—
1452C2×D4—2924no—
1453C2×D4—2924no—
1454C2×D4—2921no—
1455C2×D4—731no—
1456C2×D4—731no—
1457C2×D4—731no—
1458C2×D4—731no—
1459C2×D4—731no—
1460C2×D4—731no—
1461C2×D4—1461no—
1462C2×D4—1461no—
1463C2×D4—1462no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1462no—
1469C2×D4—1461no—
1470C2×D4—1461no—
1471C2×D4—1461no—
1472C2×D4—1461no—
1473C2×D4—1461no—
1474C2×D4—1461no—
1475C2×D4—1464no—
1476C2×D4—1461no—
1477C2×D4—1461no—
1478C2×D4C23×D7311yescharacteristic
1479C2×D4C23×D7311yescharacteristic
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—2924no—
1485C22×C4—2924no—
1486C22×C4—731no—
1487C22×C4—731no—
1488C22×C4—731no—
1489C22×C4—731no—
1490C22×C4—731no—
1491C22×C4—731no—
1492C22×C4—731no—
1493C22×C4—1461no—
1494C22×C4—1461no—
1495C22×C4—1461no—
1496C22×C4—1461no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4—1461no—
1505C22×C4—1461no—
1506C22×C4—1461no—
1507C22×C4—1461no—
1508C22×C4—1461no—
1509C22×C4—1462no—
1510C22×C4—1462no—
1511C22×C4D4×D7311yescharacteristic
1512C22×C4D4×D7311yescharacteristic
1513C22×C4D4×D7311yescharacteristic
1514C22×C4C23×D7311yescharacteristic
1515C22×C4C23×D7311yescharacteristic
1516C22×C4C23×D7311yescharacteristic
1517Q16—41no—
1518Q16—2921no—
1519Q16—1462no—
1520SD16—41no—
1521SD16—41no—
1522SD16—2921no—
1523SD16—2921no—
1524SD16—1462no—
1525SD16—1462no—
1526D8—41no—
1527D8—2921no—
1528D8—1462no—
1529C2×C8—22no—
1530C2×C8—22no—
1531C2×C8—41no—
1532C2×C8—41no—
1533C2×C8—41no—
1534C2×C8—41no—
1535C2×C8—2921no—
1536C2×C8—2921no—
1537C2×C8—2921no—
1538C2×C8—2921no—
1539C2×C8—731no—
1540C2×C8—731no—
1541C2×C8—731no—
1542C2×C8—731no—
1543C2×C8—1462no—
1544C2×C8—1462no—
1545C2×C8C23×D7311yescharacteristic
1546C2×C8C23×D7311yescharacteristic
1547C2×C8C23×D7311yescharacteristic
1548C2×C8C23×D7311yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—731no—
1554C4⋊C4—731no—
1555C4⋊C4—731no—
1556C4⋊C4—731no—
1557C4⋊C4—731no—
1558C4⋊C4—731no—
1559C4⋊C4—731no—
1560C4⋊C4—731no—
1561C4⋊C4—1461no—
1562C4⋊C4—1461no—
1563C4⋊C4—1461no—
1564C4⋊C4—1461no—
1565C4⋊C4—1461no—
1566C4⋊C4—1461no—
1567C4⋊C4—1461no—
1568C4⋊C4—1461no—
1569C4⋊C4—1461no—
1570C4⋊C4—1461no—
1571C4⋊C4—1461no—
1572C4⋊C4—1461no—
1573C4⋊C4—1461no—
1574C4⋊C4—1461no—
1575C4⋊C4—1461no—
1576C4⋊C4—1461no—
1577C4⋊C4—1461no—
1578C4⋊C4—1461no—
1579C4⋊C4—1461no—
1580C4⋊C4—1461no—
1581C4⋊C4C23×D7311yescharacteristic
1582C4⋊C4C23×D7311yescharacteristic
1583C4⋊C4C23×D7311yescharacteristic
1584C4⋊C4C23×D7311yescharacteristic
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—731no—
1596C22⋊C4—731no—
1597C22⋊C4—731no—
1598C22⋊C4—731no—
1599C22⋊C4—731no—
1600C22⋊C4—731no—
1601C22⋊C4—731no—
1602C22⋊C4—731no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4—1461no—
1618C22⋊C4—1461no—
1619C22⋊C4—1461no—
1620C22⋊C4—1461no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C42—21no—
1626C42—21no—
1627C42—731no—
1628C42—731no—
1629C42—731no—
1630C42—731no—
1631C42—1461no—
1632C42—1461no—
1633C42—1461no—
1634C42—1461no—
1635C42—1461no—
1636C42—1461no—
1637C42—1461no—
1638C42—1461no—
1639C42—1461no—
1640C42—1461no—
1641C23—22no—
1642C23—22no—
1643C23—21no—
1644C23—21no—
1645C23—41no—
1646C23—2921no—
1647C23—2922no—
1648C23—2922no—
1649C23—2922no—
1650C23—2922no—
1651C23—5841no—
1652C23—5841no—
1653C23—731no—
1654C23—731no—
1655C23—1462no—
1656C23—1461no—
1657C23—1461no—
1658C23—1462no—
1659C23C2×D4×D7311yescharacteristic
1660C23C2×D4×D7311yescharacteristic
1661C23C2×D4×D7311yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—2922no—
1667Q8—2922no—
1668Q8—2922no—
1669Q8—5841no—
1670Q8—732no—
1671Q8—1461no—
1672Q8—1461no—
1673Q8—1461no—
1674D4—21no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—42no—
1679D4—42no—
1680D4—42no—
1681D4—42no—
1682D4—81no—
1683D4—81no—
1684D4—2922no—
1685D4—2922no—
1686D4—2922no—
1687D4—2922no—
1688D4—2922no—
1689D4—2922no—
1690D4—2922no—
1691D4—2922no—
1692D4—2922no—
1693D4—2922no—
1694D4—5841no—
1695D4—5841no—
1696D4—5841no—
1697D4—734no—
1698D4—732no—
1699D4—1462no—
1700D4—1462no—
1701D4—1464no—
1702D4—1462no—
1703D4—1461no—
1704D4—1461no—
1705D4—1461no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—42no—
1720C2×C4—42no—
1721C2×C4—2922no—
1722C2×C4—2922no—
1723C2×C4—2922no—
1724C2×C4—2922no—
1725C2×C4—2922no—
1726C2×C4—2922no—
1727C2×C4—2922no—
1728C2×C4—2922no—
1729C2×C4—2922no—
1730C2×C4—2922no—
1731C2×C4—2921no—
1732C2×C4—2922no—
1733C2×C4—5841no—
1734C2×C4—5841no—
1735C2×C4—5841no—
1736C2×C4—5841no—
1737C2×C4—731no—
1738C2×C4—731no—
1739C2×C4—731no—
1740C2×C4—731no—
1741C2×C4—731no—
1742C2×C4—731no—
1743C2×C4—1461no—
1744C2×C4—1461no—
1745C2×C4—1461no—
1746C2×C4—1461no—
1747C2×C4—1461no—
1748C2×C4—1462no—
1749C2×C4—1461no—
1750C2×C4—1462no—
1751C2×C4—1461no—
1752C2×C4—1461no—
1753C2×C4—1461no—
1754C2×C4—1461no—
1755C2×C4—1462no—
1756C2×C4—1464no—
1757C2×C4—1462no—
1758C2×C4C2×D4×D7311yescharacteristic
1759C2×C4C2×D4×D7311yescharacteristic
1760C2×C4C2×D4×D7311yescharacteristic
1761C2×C4#41×D7312yes—
1762C2×C4#1455663612yes—
1763C2×C4C24×D7311yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—1461no—
1769C8—1461no—
1770C8—1461no—
1771C8—1461no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—44no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—2924no—
1787C22—2921no—
1788C22—2921no—
1789C22—2921no—
1790C22—2921no—
1791C22—2921no—
1792C22—5844no—
1793C22—5844no—
1794C22—732no—
1795C22—1462no—
1796C22—1461no—
1797C22—1461no—
1798C22—1461no—
1799C22—1461no—
1800C22—1461no—
1801C22#1798922612yes—
1802C22#135×D7312yes—
1803C22C22×D4×D7311yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—2921no—
1813C4—2921no—
1814C4—2921no—
1815C4—2921no—
1816C4—2921no—
1817C4—732no—
1818C4—1461no—
1819C4—1462no—
1820C4—1461no—
1821C4—1461no—
1822C4—1461no—
1823C4—1461no—
1824C4#1798922612yes—
1825C4C2×#41×D7311yescharacteristic
1826C4C2×#1455663611yescharacteristic
1827C2—22no—
1828C2—22no—
1829C2—41no—
1830C2—81no—
1831C2—81no—
1832C2—2921no—
1833C2—2922no—
1834C2—5841no—
1835C2—1462no—
1836C2C2×#1798922611yescharacteristic
1837C2C2×#135×D7311yescharacteristic
1838C2#2262470011yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3050C2
socleC22×C73C23×D4
hypercenter#3050D73
hypocenterC73#61124
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #3050

Complements

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

NH ≅ G/Ntype
1. #22623491C2semidirect
2. #22623414C2semidirect
3. #22621876C2semidirect
4. #22621865C2semidirect
5. #22621854C2semidirect
6. #22621843C2semidirect
7. #22621839C2semidirect
8. #22621828C2semidirect
9. #22621824C2semidirect
10. #22621813C2semidirect
11. #22621802C2semidirect
12. #22621791C2semidirect
13. #22621787C2semidirect
14. #22621776C2semidirect
15. #22621772C2semidirect
16. #22621761C2semidirect
17. #22621750C2semidirect
18. #22621739C2semidirect
19. #22620251C2semidirect
20. #22619848C2semidirect
21. #22619840C2semidirect
22. #22619717C2semidirect
23. #22619511C2semidirect
24. #22619382C2semidirect
25. #22619147C2semidirect
26. #22619145C2semidirect
27. #22618699C2semidirect
28. C2×C8×C22⋊D73C2semidirect
29. C2×#17988584C2semidirect
30. #416×D73C2semidirect
31. C73×#3050C2semidirect
35. C2×#14556611C22semidirect
36. C22×C8×D73C22semidirect
37. #17989308C22semidirect
38. #17989301C22semidirect
40. #17989289C22semidirect
41. #17989284C22semidirect
42. #17989279C22semidirect
44. #17989271C22semidirect
61. #17989140C22semidirect
70. #17989094C22semidirect
71. #41×Dic73C22semidirect
76. C2×#14556550C22semidirect
77. #117×D73C22semidirect
78. #17988943C22semidirect
79. #17988943C22semidirect
80. #17988940C22semidirect
81. #17988940C22semidirect
82. #17988936C22semidirect
83. #17988936C22semidirect
84. #17988932C22semidirect
85. #17988932C22semidirect
86. #17988931C22semidirect
87. #17988930C22semidirect
88. #17988925C22semidirect
89. #17988925C22semidirect
90. #17988924C22semidirect
91. #17988920C22semidirect
92. #17988919C22semidirect
93. #17988915C22semidirect
94. #17988914C22semidirect
95. #17988913C22semidirect
96. #17988908C22semidirect
97. #17988908C22semidirect
98. #17988907C22semidirect
99. #17988903C22semidirect
100. #17988902C22semidirect
101. #17988898C22semidirect
102. #17988897C22semidirect
103. #17988893C22semidirect
104. #17988890C22semidirect
105. #17988886C22semidirect
106. #17988881C22semidirect
107. #17988876C22semidirect
108. #17988871C22semidirect
109. #17988866C22semidirect
110. #17988827C22semidirect
111. #17988827C22semidirect
112. #17988822C22semidirect
113. #17988822C22semidirect
114. #17988819C22semidirect
115. #17988819C22semidirect
116. #17988815C22semidirect
117. #17988815C22semidirect
118. #17988811C22semidirect
119. #17988807C22semidirect
120. #17988804C22semidirect
121. #17988800C22semidirect
122. #17988795C22semidirect
123. #17988790C22semidirect
124. #17988785C22semidirect
125. #17988780C22semidirect
126. #17988748C22semidirect
127. #17988747C22semidirect
128. #17988747C22semidirect
129. #17988746C22semidirect
130. #17988742C22semidirect
131. #17988741C22semidirect
132. #17988737C22semidirect
133. #17988736C22semidirect
134. #17988731C22semidirect
135. #17988730C22semidirect
136. #17988730C22semidirect
137. #17988729C22semidirect
138. #17988725C22semidirect
139. #17988724C22semidirect
140. #17988720C22semidirect
141. #17988719C22semidirect
142. #17988679C22semidirect
143. #17988679C22semidirect
144. #17988678C22semidirect
145. #17988678C22semidirect
146. #17988672C22semidirect
147. #17988672C22semidirect
148. #17988667C22semidirect
149. #17988667C22semidirect
152. C8×C22⋊D73C22semidirect
153. C8×C22⋊D73C22semidirect
154. C8×C22⋊D73C22semidirect
155. C8×C22⋊D73C22semidirect
156. C8×C22⋊D73C22semidirect
157. C8×C22⋊D73C22semidirect
158. #17988623C22semidirect
159. #17988623C22semidirect
160. C2×#14556520C22semidirect
163. #17988584C22semidirect
164. #17988584C22semidirect
165. #17988584C22semidirect
166. #17988584C22semidirect
167. #17988584C22semidirect
168. #17988584C22semidirect
169. #17988583C22semidirect
170. #17988583C22semidirect
171. #17988582C22semidirect
172. #17988582C22semidirect
174. #17988581C22semidirect
175. #17988580C22semidirect
176. #17988580C22semidirect
177. C2×#14556516C22semidirect
178. C2×#14556516C22semidirect
179. #103×D73C22semidirect
180. #103×D73C22semidirect
181. C2×#14556513C22semidirect
182. C2×#14556513C22semidirect
183. #102×D73C22semidirect
184. #102×D73C22semidirect
185. C2×C22⋊#10596831C22semidirect
186. C2×#14556503C22semidirect
187. C2×C8×Dic73C22semidirect
188. C2×#135×C73C22semidirect
189. C23×C8×C73C22semidirect
191. #525×C73C22semidirect
192. #467×C73C22semidirect
193. #467×C73C22semidirect
194. #466×C73C22semidirect
195. #466×C73C22semidirect
196. #465×C73C22semidirect
197. #465×C73C22semidirect
198. #465×C73C22semidirect
199. #465×C73C22semidirect
200. #427×C73C22semidirect
201. #416×C73C22semidirect
202. #416×C73C22semidirect
502. #11924028#41semidirect
790. C22⋊D73#135semidirect
943. #3050D73semidirect
951. C73#61124semidirect
956. C2×#135C2×D73semidirect
958. C23×C8C2×D73semidirect
994. #525C2×D73semidirect
1036. #467C2×D73semidirect
1037. #467C2×D73semidirect
1040. #466C2×D73semidirect
1041. #466C2×D73semidirect
1046. #465C2×D73semidirect
1047. #465C2×D73semidirect
1048. #465C2×D73semidirect
1049. #465C2×D73semidirect
1092. #427C2×D73semidirect
1110. #416C2×D73semidirect
1111. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226234912
#226234142
#226218762
#226218652
#226218542
#226218432
#226218392
#226218282
#226218242
#226218132
#226218022
#226217912
#226217872
#226217762
#226217722
#226217612
#226217502
#226217392
#226202512
#226198482
#226198402
#226197172
#226195112
#226193822
#226191472
#226191452
#226186992
C2×C8×C22⋊D732
C2×#179885842
#416×D732
C73×#30502
#6112473