Finite Group Databasebeta

← #33979787

Subgroups — #33979787

Order 18688.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624511C211yesmaximal, characteristic, complemented
2#22623871C211yesmaximal, characteristic, complemented
3#22622993C211yesmaximal, characteristic, complemented
4#22622943C211yesmaximal, characteristic, complemented
5#22622680C211yesmaximal, characteristic, complemented
6#22622581C211yesmaximal, characteristic, complemented
7#22622234C211yesmaximal, characteristic, complemented
8#22622202C211yesmaximal, characteristic, complemented
9#22622189C211yesmaximal, characteristic, complemented
10#22622060C211yesmaximal, characteristic, complemented
11#22621895C211yesmaximal, characteristic, complemented
12#22621786C211yesmaximal, characteristic, complemented
13#22621640C211yesmaximal, characteristic, complemented
14#22621549C211yesmaximal, characteristic, complemented
15#22621542C211yesmaximal, characteristic, complemented
16#22621541C211yesmaximal, characteristic, complemented
17#22621454C211yesmaximal, characteristic, complemented
18#22621424C211yesmaximal, characteristic, complemented
19#22621379C211yesmaximal, characteristic, complemented
20#22621346C211yesmaximal, characteristic, complemented
21#22621327C211yesmaximal, characteristic, complemented
22#22621037C211yesmaximal, characteristic, complemented
23#22620978C211yesmaximal, characteristic, complemented
24#22620909C211yesmaximal, characteristic, complemented
25#22620176C211yesmaximal, characteristic, complemented
26#22620150C211yesmaximal, characteristic, complemented
27#22619471C211yesmaximal, characteristic, complemented
28#22619441C211yesmaximal, characteristic, complemented
29#22619395C211yesmaximal, characteristic, complemented
30#22619082C211yesmaximal, characteristic, complemented
31C73×#3105C211yesmaximal, characteristic, complemented
32C2×#14556617C2211yescharacteristic
33C2×#14556617C2211yescharacteristic, complemented
34C2×#14556615C2211yescharacteristic
35C2×#14556615C2211yescharacteristic
36C2×#14556612C2211yescharacteristic
37C2×SD16×D73C2211yescharacteristic, complemented
38#17989334—21no—
39#17989327—21no—
40#17989320C2211yescharacteristic, complemented
41#17989320C2211yescharacteristic, complemented
42#17989309C2211yescharacteristic, complemented
43#17989296C2211yescharacteristic, complemented
44#17989287C2211yescharacteristic
45#17989286—21no—
46#17989281—21no—
47#17989272C2211yescharacteristic, complemented
48#17989266—21no—
49#17989263—21no—
50#17989261—21no—
51#17989255C2211yescharacteristic
52#17989249C2211yescharacteristic, complemented
53#17989247C2211yescharacteristic
54#17989239C2211yescharacteristic, complemented
55#17989238C2211yescharacteristic
56#17989234C2211yescharacteristic, complemented
57#17989232C2211yescharacteristic
58#17989232C2211yescharacteristic, complemented
59#17989231C2211yescharacteristic
60#17989227—21no—
61D4×C22⋊D73C2211yescharacteristic, complemented
62#17989202C2211yescharacteristic, complemented
63#17989200C2211yescharacteristic, complemented
64#17989193C2211yescharacteristic, complemented
65#17989188—21no—
66#17989188C2211yescharacteristic
67#17989179—21no—
68#17989178—21no—
69#17989176—21no—
70#17989170—21no—
71#17989170—21no—
72#17989157C2211yescharacteristic, complemented
73#17989155C2211yescharacteristic, complemented
74#17989137C2211yescharacteristic, complemented
75#17989121C2211yescharacteristic
76#17989121C2211yescharacteristic, complemented
77#17989098—21no—
78C2×#14556574—21no—
79#17989066C2211yescharacteristic
80#17989059C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic
83#17988971C2211yescharacteristic, complemented
84#17988971C2211yescharacteristic, complemented
85#17988970C2211yescharacteristic, complemented
86#17988962C2211yescharacteristic
87#17988950C2211yescharacteristic, complemented
88#17988945C2211yescharacteristic, complemented
89#17988943C2211yescharacteristic, complemented
90#17988942C2211yescharacteristic, complemented
91#17988942C2211yescharacteristic, complemented
92#17988936C2211yescharacteristic, complemented
93#17988924C2211yescharacteristic, complemented
94#17988919C2211yescharacteristic, complemented
95#17988914C2211yescharacteristic, complemented
96#17988913C2211yescharacteristic, complemented
97#17988897C2211yescharacteristic, complemented
98#17988894C2211yescharacteristic, complemented
99#17988893C2211yescharacteristic, complemented
100#17988891C2211yescharacteristic, complemented
101#17988887C2211yescharacteristic, complemented
102#17988884C2211yescharacteristic, complemented
103#17988876C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988843C2211yescharacteristic, complemented
106#17988839C2211yescharacteristic, complemented
107#17988838C2211yescharacteristic
108#17988835C2211yescharacteristic, complemented
109#17988834C2211yescharacteristic, complemented
110#17988834C2211yescharacteristic, complemented
111#17988832C2211yescharacteristic, complemented
112#17988831C2211yescharacteristic, complemented
113#17988822C2211yescharacteristic
114#17988817C2211yescharacteristic, complemented
115#17988817C2211yescharacteristic, complemented
116#17988815C2211yescharacteristic, complemented
117#17988812C2211yescharacteristic, complemented
118#17988809C2211yescharacteristic, complemented
119#17988806C2211yescharacteristic, complemented
120#17988804C2211yescharacteristic
121#17988802C2211yescharacteristic
122#17988802C2211yescharacteristic, complemented
123#17988802C2211yescharacteristic, complemented
124#17988802C2211yescharacteristic, complemented
125#17988802C2211yescharacteristic, complemented
126#17988801C2211yescharacteristic, complemented
127#17988801C2211yescharacteristic, complemented
128#17988801C2211yescharacteristic, complemented
129#17988800C2211yescharacteristic
130#17988799C2211yescharacteristic, complemented
131#17988798C2211yescharacteristic, complemented
132#17988793C2211yescharacteristic, complemented
133#17988792C2211yescharacteristic, complemented
134#17988792C2211yescharacteristic, complemented
135#17988791C2211yescharacteristic, complemented
136#17988790C2211yescharacteristic, complemented
137#17988788C2211yescharacteristic, complemented
138#17988786C2211yescharacteristic, complemented
139#17988786C2211yescharacteristic, complemented
140#17988786C2211yescharacteristic, complemented
141#17988783C2211yescharacteristic, complemented
142#17988782C2211yescharacteristic
143#17988782C2211yescharacteristic, complemented
144#17988780C2211yescharacteristic
145#17988751C2211yescharacteristic, complemented
146#17988751C2211yescharacteristic, complemented
147#17988750C2211yescharacteristic
148#17988750C2211yescharacteristic
149#17988750C2211yescharacteristic, complemented
150#17988744C2211yescharacteristic, complemented
151#17988735C2211yescharacteristic, complemented
152#17988734C2211yescharacteristic
153#17988734C2211yescharacteristic, complemented
154#17988731C2211yescharacteristic, complemented
155#17988729C2211yescharacteristic
156#17988724C2211yescharacteristic, complemented
157#17988722C2211yescharacteristic
158#17988722C2211yescharacteristic, complemented
159#17988722C2211yescharacteristic, complemented
160#17988719C2211yescharacteristic, complemented
161#17988717C2211yescharacteristic, complemented
162C8×Dic146C2211yescharacteristic, complemented
163#17988698C2211yescharacteristic, complemented
164#17988696C2211yescharacteristic, complemented
165#17988693C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic, complemented
167#17988681C2211yescharacteristic, complemented
168#17988678C2211yescharacteristic, complemented
169#17988669C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic
171#17988666C2211yescharacteristic, complemented
172#17988662C2211yescharacteristic, complemented
173#17988662C2211yescharacteristic, complemented
174#17988661C2211yescharacteristic, complemented
175#17988661C2211yescharacteristic, complemented
176C8×D292C2211yescharacteristic, complemented
177#17988647C2211yescharacteristic, complemented
178#17988647C2211yescharacteristic, complemented
179#17988612C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181#17988611C2211yescharacteristic, complemented
182#17988594C2211yescharacteristic, complemented
183#17988587C2211yescharacteristic, complemented
184#17988586C2211yescharacteristic, complemented
185#17988586C2211yescharacteristic, complemented
186#17988580C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188#529×C73C2211yescharacteristic, complemented
189C2×C4×D4×C73C2211yescharacteristic, complemented
190#484×C73C2211yescharacteristic, complemented
191#481×C73C2211yescharacteristic, complemented
192#478×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#463×C73C2211yescharacteristic
195#463×C73C2211yescharacteristic, complemented
196#450×C73C2211yescharacteristic, complemented
197#447×C73C2211yescharacteristic
198C4×SD16×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200C4×D8×C73C2211yescharacteristic
201C4×D8×C73C2211yescharacteristic, complemented
202#431×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C2×#11924027C2311yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210C22×C22⋊D73—21no—
211C2×D4×D73C2311yescharacteristic
212C2×D4×D73C2311yescharacteristic
213#14556617—42no—
214#14556617—42no—
215#14556615—42no—
216#14556615—42no—
217#14556612—42no—
218C2×Dic292C2311yescharacteristic
219C2×Dic292C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231SD16×D73—42no—
232C2×D584C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924012C2311yescharacteristic
240C2×#11924012C2311yescharacteristic
241C2×#11924011C2311yescharacteristic
242C2×#11924011C2311yescharacteristic
243C2×C8×D73C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245#14556591C2311yescharacteristic
246#14556590C2311yescharacteristic
247#14556589C2311yescharacteristic
248#14556588C2311yescharacteristic
249#14556587—21no—
250#14556587C2311yescharacteristic
251#14556587C2311yescharacteristic
252#14556586—21no—
253#14556586—21no—
254#14556586—21no—
255#14556586—21no—
256#14556585—21no—
257#14556585—21no—
258#14556585D411yescharacteristic
259#14556585D411yescharacteristic
260#14556584—21no—
261#14556584—21no—
262#14556583D411yescharacteristic
263#14556583C2311yescharacteristic
264#14556582—21no—
265#14556582—21no—
266#14556582C2311yescharacteristic
267#14556581—21no—
268#14556580C2311yescharacteristic
269#14556579—21no—
270#14556579D411yescharacteristic
271#14556579C2311yescharacteristic
272#14556579C2311yescharacteristic
273#14556579C2311yescharacteristic
274#14556578C2311yescharacteristic
275#14556578C2311yescharacteristic
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556577—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556576—21no—
284#14556575—21no—
285#14556575—21no—
286#14556574—21no—
287#14556574—21no—
288#14556574—21no—
289#14556574—21no—
290#14556574—21no—
291#14556574—21no—
292#14556574—21no—
293#14556574—21no—
294#14556574D411yescharacteristic
295#14556574D411yescharacteristic
296#14556573—21no—
297#14556573—21no—
298#14556573—21no—
299#14556573—21no—
300#14556573—21no—
301#14556573—21no—
302#14556573—21no—
303#14556572—21no—
304#14556571—21no—
305#14556571C2311yescharacteristic
306#14556571C2311yescharacteristic
307#14556571C2311yescharacteristic
308#14556570—21no—
309#14556570—21no—
310#14556570D411yescharacteristic
311#14556570C2311yescharacteristic
312#14556569—21no—
313#14556569—21no—
314#14556569—21no—
315#14556568—21no—
316#14556568—21no—
317#14556568—21no—
318#14556568—21no—
319#14556566—21no—
320#14556566—21no—
321#14556566—21no—
322#14556566C2311yescharacteristic
323#14556566C2311yescharacteristic
324#14556566C2311yescharacteristic
325#14556565—21no—
326#14556565—21no—
327#14556565—21no—
328#14556565—21no—
329#14556565—21no—
330#14556565D411yescharacteristic
331#14556565C2311yescharacteristic
332#14556564—21no—
333#14556564—21no—
334#14556564—21no—
335#14556564—21no—
336#14556564—21no—
337#14556564—21no—
338#14556564—21no—
339#14556563—21no—
340#14556563—21no—
341#14556563—21no—
342#14556562—21no—
343#14556562C2311yescharacteristic
344#14556562C2311yescharacteristic
345#14556561—21no—
346#14556561—21no—
347#14556561—21no—
348#14556561—21no—
349#14556560—21no—
350#14556560—21no—
351#14556559—21no—
352#14556559—21no—
353C4×Dic146C2311yescharacteristic
354C4×Dic146C2311yescharacteristic
355#14556556C2311yescharacteristic
356#14556556C2311yescharacteristic
357#14556556C2311yescharacteristic
358C4×D292—21no—
359C4×D292—21no—
360C4×D292—21no—
361C4×D292C2311yescharacteristic
362C4×D292C2311yescharacteristic
363D4×Dic73C2311yescharacteristic
364D4×Dic73C2311yescharacteristic
365#14556553—21no—
366#14556553C2311yescharacteristic
367#14556553C2311yescharacteristic
368#14556553C2311yescharacteristic
369C4×C22⋊D73—21no—
370C4×C22⋊D73—21no—
371C4×C22⋊D73—21no—
372C4×C22⋊D73—21no—
373C4×C22⋊D73—21no—
374C4×C22⋊D73—21no—
375C4×C22⋊D73C2311yescharacteristic
376C4×C22⋊D73C2311yescharacteristic
377#14556551—21no—
378#14556551—21no—
379#14556551—21no—
380#14556550—21no—
381#14556549C2311yescharacteristic
382#14556548—21no—
383#14556548—21no—
384#14556548C2311yescharacteristic
385#14556548C2311yescharacteristic
386#14556547—21no—
387C2×#11924007—21no—
388C2×#11924007—21no—
389C4⋊C4×D73—21no—
390C4⋊C4×D73C2311yescharacteristic
391C2×C22⋊Dic73—21no—
392C2×#11924005—21no—
393C2×#11924005—21no—
394C2×#11924005—21no—
395C22⋊C4×D73—21no—
396C22⋊C4×D73—21no—
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404C4⋊#10596831C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C22×D4×C73C2311yescharacteristic
442C23×C4×C73—21no—
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446C2×D8×C73C2311yescharacteristic
447#126×C73—21no—
448#125×C73C2311yescharacteristic
449#124×C73C2311yescharacteristic
450#123×C73—21no—
451C22⋊Q8×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×D4×C73—21no—
455C4×D4×C73—21no—
456C4×D4×C73—21no—
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462#117×C73—21no—
463C2×C4⋊C4×C73C2311yescharacteristic
464C2×C22⋊C4×C73—21no—
465C2×C42×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C4×C8×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924029—41no—
487#11924029—41no—
488#11924028—41no—
489#11924028—41no—
490#11924028—41no—
491#11924028—41no—
492#11924028—82no—
493#11924027—22no—
494#11924027—41no—
495#11924027—41no—
496#11924027—41no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146C2×D411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×Dic146C2411yescharacteristic
502C2×Dic146C2411yescharacteristic
503Q8×D73—41no—
504Q8×D73—41no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292C2×D411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—82no—
529C2×C22⋊D73C2×D411yescharacteristic
530C2×C22⋊D73C2×D411yescharacteristic
531D4×D73—22no—
532D4×D73—41no—
533D4×D73—41no—
534D4×D73—41no—
535C22×Dic73—21no—
536C22×Dic73—21no—
537C22×Dic73—21no—
538C22×Dic73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73C2411yescharacteristic
549C2×C4×D73C2411yescharacteristic
550Dic292—41no—
551Dic292—41no—
552#11924018—41no—
553#11924017—41no—
554#11924017—41no—
555#11924017—41no—
556#11924017—41no—
557#11924016—22no—
558#11924016—22no—
559#11924016—41no—
560#11924016—41no—
561#11924016—41no—
562#11924015—41no—
563D584—41no—
564D584—41no—
565#11924013—22no—
566#11924013—22no—
567#11924013—41no—
568#11924013—41no—
569#11924013—41no—
570#11924012—41no—
571#11924012—41no—
572#11924011—41no—
573#11924011—41no—
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C2×#10596831C2411yescharacteristic
577C2×#10596831C2411yescharacteristic
578C8×D73—41no—
579C8×D73—41no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73—21no—
586C4⋊Dic73C2×D411yescharacteristic
587C4⋊Dic73C2×D411yescharacteristic
588C4⋊Dic73C2411yescharacteristic
589C4⋊Dic73C2411yescharacteristic
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007C2×D411yescharacteristic
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607#11924007C2×D411yescharacteristic
608#11924007C2×D411yescharacteristic
609#11924007C2×D411yescharacteristic
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73C2×D411yescharacteristic
620C22⋊Dic73C2×D411yescharacteristic
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
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#11924005C2×D411yescharacteristic
642#11924005C2×D411yescharacteristic
643#11924005C2×D411yescharacteristic
644#11924005C2×D411yescharacteristic
645#11924005C2×D411yescharacteristic
646#11924005C2×D411yescharacteristic
647#11924005C2×D411yescharacteristic
648#11924005C2×D411yescharacteristic
649C4×Dic73—21no—
650C4×Dic73—21no—
651C4×Dic73—21no—
652C4×Dic73—21no—
653C4×Dic73—21no—
654C4×Dic73C2411yescharacteristic
655C4×Dic73C2411yescharacteristic
656C24×C73—21no—
657C2×Q8×C73C2411yescharacteristic
658C2×D4×C73—22no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—41no—
662C2×D4×C73C2411yescharacteristic
663C2×D4×C73C2411yescharacteristic
664C2×D4×C73C2411yescharacteristic
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73—82no—
672C22×C4×C73C2×D411yescharacteristic
673C22×C4×C73C2×D411yescharacteristic
674C22×C4×C73C2411yescharacteristic
675SD16×C73—22no—
676SD16×C73—41no—
677D8×C73—22no—
678D8×C73—41no—
679C2×C8×C73C2411yescharacteristic
680C2×C8×C73C2411yescharacteristic
681C2×C8×C73C2411yescharacteristic
682C2×C8×C73C2411yescharacteristic
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C42×C73—21no—
702C42×C73C2×D411yescharacteristic
703C42×C73C2×D411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—42no—
710C23×C73—42no—
711C23×C73—81no—
712C23×C73C22×D411yescharacteristic
713C22×D73—21no—
714C22×D73—21no—
715C22×D73—21no—
716C22×D73—42no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726D4×C73—21no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—42no—
732D4×C73—81no—
733D4×C73H(5,𝔽2)12yes—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—41no—
742C2×C4×C73—41no—
743C2×C4×C73—42no—
744C2×C4×C73—81no—
745C2×C4×C73—81no—
746C2×C4×C73—81no—
747C2×C4×C73—81no—
748C2×C4×C73—81no—
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C2511yescharacteristic
755C22⋊D73—41no—
756C22⋊D73—41no—
757C22⋊D73—42no—
758C22⋊D73—42no—
759C22⋊D73—42no—
760C22⋊D73—81no—
761C22⋊D73—81no—
762C22⋊D73—81no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C2×Dic73—21no—
771C2×Dic73—21no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—42no—
776C2×Dic73—81no—
777C2×Dic73—81no—
778C2×Dic73—81no—
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785D292—21no—
786D292—21no—
787D292—21no—
788D292—21no—
789D292—21no—
790D292—21no—
791D292—41no—
792D292—81no—
793D292—81no—
794D292—81no—
795D292—81no—
796D292—81no—
797D292—81no—
798C4×D73—21no—
799C4×D73—21no—
800C4×D73—21no—
801C4×D73—21no—
802C4×D73—81no—
803C4×D73—81no—
804C4×D73—81no—
805C4×D73—81no—
806C4×D73—81no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811Dic146—21no—
812Dic146—21no—
813Dic146—21no—
814Dic146—21no—
815Dic146—21no—
816Dic146—21no—
817Dic146—41no—
818Dic146—81no—
819Dic146—81no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823C8×C73—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831—21no—
827#10596831—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—22no—
831C22×C73—21no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—84no—
841C22×C73C23×D411yescharacteristic
842C2×D73—21no—
843C2×D73—21no—
844C2×D73—21no—
845C2×D73—21no—
846C2×D73—21no—
847C2×D73—21no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—41no—
857C2×D73—162no—
858C2×D73—162no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—21no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73—41no—
869C4×C73C2×H(5,𝔽2)11yescharacteristic
870C4×C73#58511yescharacteristic
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—21no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62027—731nomaximal, Sylow
883C2×C73—42no—
884C2×C73—41no—
885C2×C73—81no—
886C2×C73—81no—
887C2×C73#348811yescharacteristic
888C2×C73#358411yescharacteristic
889C2×C73#358511yescharacteristic
890D73—41no—
891D73—41no—
892D73—81no—
893D73—81no—
894D73—81no—
895#3562—731no—
896#3513—731no—
897#3401—731no—
898#3396—731no—
899#3370—731no—
900#3360—731no—
901#3330—731no—
902#3327—731no—
903#3326—731no—
904#3317—731no—
905#3306—731no—
906#3297—731no—
907#3282—731no—
908#3274—731no—
909#3273—731no—
910#3273—731no—
911#3267—731no—
912#3265—731no—
913#3260—731no—
914#3257—731no—
915#3256—731no—
916#3225—731no—
917#3220—731no—
918#3212—731no—
919#3122—731no—
920#3120—731no—
921#3105D7311yescharacteristic, complemented
922#3045—731no—
923#3042—731no—
924#3036—731no—
925#2993—731no—
926C73#6202711yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)—731no—
929C2×AGL(1,ℤ/8)—731no—
930C2×AGL(1,ℤ/8)—731no—
931C2×#135—731no—
932C22×SD16—731no—
933#562—1461no—
934#560—1461no—
935#559—731no—
936#559—731no—
937#556—731no—
938#554—731no—
939#553—731no—
940#553—1461no—
941#553—1461no—
942#552—731no—
943#551—1461no—
944#551—1461no—
945#551—1461no—
946#550—731no—
947#548—731no—
948#548—731no—
949#547—731no—
950#547—731no—
951#546—731no—
952#546—731no—
953#546—731no—
954#546—731no—
955#546—1461no—
956D42—731no—
957#542—731no—
958#541—731no—
959#540—731no—
960#540—731no—
961#540—1461no—
962#539—1461no—
963#539—1461no—
964#538—1461no—
965#538—1461no—
966#538—1461no—
967#536—731no—
968#535—731no—
969#532—731no—
970#529—731no—
971#529—731no—
972#529C2×D7311yescharacteristic, complemented
973#525—1461no—
974C2×#123—1461no—
975#520—731no—
976#518—731no—
977C2×C4×D4C2×D7311yescharacteristic, complemented
978#497—731no—
979#496—731no—
980#495—731no—
981#495—731no—
982#495—731no—
983#493—731no—
984#490—731no—
985#489—731no—
986#488—731no—
987#488—731no—
988#488—731no—
989#487—731no—
990#484—731no—
991#484C2×D7311yescharacteristic, complemented
992#483—731no—
993#482—731no—
994#482—731no—
995#481C2×D7311yescharacteristic, complemented
996#479—731no—
997#479—731no—
998#479—731no—
999#479—731no—
1000#478—731no—
1001#478—731no—
1002#478C2×D7311yescharacteristic, complemented
1003#478C2×D7311yescharacteristic, complemented
1004#476—731no—
1005#474—731no—
1006#470—731no—
1007#469—731no—
1008#469—731no—
1009#468—731no—
1010#468—731no—
1011#468—731no—
1012#468—731no—
1013#468—731no—
1014#466—731no—
1015#465—731no—
1016#465—731no—
1017#465—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463C2×D7311yescharacteristic
1033#463C2×D7311yescharacteristic, complemented
1034#462—731no—
1035#461—731no—
1036#461—731no—
1037#461—731no—
1038#461—731no—
1039#461—731no—
1040#460—731no—
1041#460—731no—
1042#460—731no—
1043#460—731no—
1044#459—731no—
1045#459—731no—
1046#459—731no—
1047#459—731no—
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#452—731no—
1052#452—731no—
1053#451—731no—
1054#450C2×D7311yescharacteristic, complemented
1055#449—731no—
1056#449—731no—
1057#449—731no—
1058#449—731no—
1059#449—731no—
1060#448—731no—
1061#447—731no—
1062#447—731no—
1063#447—731no—
1064#447—731no—
1065#447C2×D7311yescharacteristic
1066#446—731no—
1067C8×Q8—731no—
1068#442—731no—
1069#442—731no—
1070#441—731no—
1071#440—731no—
1072C4×Q16—731no—
1073C4×SD16—731no—
1074C4×SD16C2×D7311yescharacteristic, complemented
1075C4×SD16C2×D7311yescharacteristic, complemented
1076C4×D8—731no—
1077C4×D8—731no—
1078C4×D8C2×D7311yescharacteristic
1079C4×D8C2×D7311yescharacteristic, complemented
1080#436—731no—
1081#436—731no—
1082#436—731no—
1083#435—731no—
1084#435—731no—
1085C8×D4—731no—
1086#433—731no—
1087#433—731no—
1088#431C2×D7311yescharacteristic, complemented
1089#424—731no—
1090#424—731no—
1091#423—731no—
1092#419—731no—
1093#417—731no—
1094#417—731no—
1095#417—731no—
1096#416—731no—
1097C2×#102—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—731no—
1102C2×#41—731no—
1103C2×#41—1461no—
1104C22×Q8—731no—
1105C22×D4—731no—
1106C22×D4—731no—
1107C22×D4—1461no—
1108C22×D4C22×D7311yescharacteristic
1109C23×C4—21no—
1110AGL(1,ℤ/8)—2922no—
1111AGL(1,ℤ/8)—2922no—
1112AGL(1,ℤ/8)—2922no—
1113AGL(1,ℤ/8)—2922no—
1114#135—2922no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×Q16—731no—
1118C2×SD16—2922no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16—731no—
1128C2×SD16—731no—
1129C2×SD16C22×D7311yescharacteristic
1130C2×SD16C22×D7311yescharacteristic
1131C2×D8—731no—
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×D8—731no—
1137C2×D8—731no—
1138C2×D8C22×D7311yescharacteristic
1139C2×D8C22×D7311yescharacteristic
1140C2×M16—731no—
1141C2×M16—731no—
1142C2×M16—731no—
1143C2×M16—731no—
1144C22×C8—731no—
1145C22×C8—731no—
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149#127—731no—
1150#127—731no—
1151#127—731no—
1152#127—1461no—
1153#126—21no—
1154#126—731no—
1155#126—731no—
1156#126—1461no—
1157#126—1461no—
1158#126—1461no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#125—731no—
1165#125—731no—
1166#125—731no—
1167#125—1461no—
1168#125—1461no—
1169#125—1461no—
1170#125C22×D7311yescharacteristic
1171#124—731no—
1172#124—731no—
1173#124—731no—
1174#124—731no—
1175#124—731no—
1176#124—731no—
1177#124—731no—
1178#124—1461no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124—1461no—
1183#124C22×D7311yescharacteristic
1184#123—21no—
1185#123—731no—
1186#123—731no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206#123—1461no—
1207#123—1461no—
1208#123—1461no—
1209C22⋊Q8—731no—
1210C22⋊Q8—731no—
1211C22⋊Q8—731no—
1212C22⋊Q8—731no—
1213C22⋊Q8—731no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219C22⋊Q8—1461no—
1220C22⋊Q8—1461no—
1221C22⋊Q8—1461no—
1222C22⋊Q8—1461no—
1223C22⋊Q8—1461no—
1224C22⋊Q8C22×D7311yescharacteristic
1225#121—731no—
1226#121—731no—
1227#121—731no—
1228#121—731no—
1229#121—731no—
1230#121—731no—
1231#121—731no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
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#121C22×D7311yescharacteristic
1252#120—1461no—
1253#120—1461no—
1254#120—1461no—
1255#120—1461no—
1256#120—1461no—
1257#120—1461no—
1258#120—1461no—
1259#120—1461no—
1260C4×Q8—731no—
1261C4×Q8—731no—
1262C4×Q8—731no—
1263C4×Q8—731no—
1264C4×Q8—731no—
1265C4×Q8C22×D7311yescharacteristic
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4C22×D7311yescharacteristic
1292C4×D4C22×D7311yescharacteristic
1293C4×D4C22×D7311yescharacteristic
1294C4×D4C22×D7311yescharacteristic
1295C4×D4C22×D7311yescharacteristic
1296#117—21no—
1297#117—731no—
1298#117—731no—
1299#117—731no—
1300#117—1461no—
1301#117—1461no—
1302#117—1461no—
1303#117—1461no—
1304C2×C4⋊C4—731no—
1305C2×C4⋊C4—1461no—
1306C2×C4⋊C4—1461no—
1307C2×C4⋊C4—1461no—
1308C2×C4⋊C4C22×D7311yescharacteristic
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—1461no—
1311C2×C22⋊C4—1461no—
1312C2×C22⋊C4—1461no—
1313C2×C22⋊C4—1461no—
1314C2×C22⋊C4—1461no—
1315C2×C22⋊C4—1461no—
1316C2×C42C22×D7311yescharacteristic
1317#107—731no—
1318#107—731no—
1319#107C22×D7311yescharacteristic
1320#107C22×D7311yescharacteristic
1321#106—731no—
1322#106—731no—
1323#106C22×D7311yescharacteristic
1324#106C22×D7311yescharacteristic
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8—731no—
1333C4⋊C8C22×D7311yescharacteristic
1334C4⋊C8C22×D7311yescharacteristic
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103—731no—
1345#103—731no—
1346#103—731no—
1347#103C22×D7311yescharacteristic
1348#103C22×D7311yescharacteristic
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102C22×D7311yescharacteristic
1362#102C22×D7311yescharacteristic
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8C22×D7311yescharacteristic
1372C22⋊C8C22×D7311yescharacteristic
1373#97—731no—
1374#97—731no—
1375C4×C8—731no—
1376C4×C8—731no—
1377C4×C8C22×D7311yescharacteristic
1378C4×C8C22×D7311yescharacteristic
1379C24—21no—
1380C24—1461no—
1381C24—1461no—
1382#41—2921no—
1383#41—2921no—
1384#41—2921no—
1385#41—2921no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—5842no—
1392#41—1462no—
1393C2×Q8—2921no—
1394C2×Q8—2921no—
1395C2×Q8—731no—
1396C2×Q8—731no—
1397C2×Q8—731no—
1398C2×Q8—731no—
1399C2×Q8—1461no—
1400C2×Q8—1461no—
1401C2×Q8C23×D7311yescharacteristic
1402C2×D4—22no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—41no—
1406C2×D4—2921no—
1407C2×D4—2921no—
1408C2×D4—2921no—
1409C2×D4—5842no—
1410C2×D4—731no—
1411C2×D4—731no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1462no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4C23×D7311yescharacteristic
1437C2×D4C23×D7311yescharacteristic
1438C2×D4C23×D7311yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—82no—
1446C22×C4—731no—
1447C22×C4—731no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4D4×D7311yescharacteristic
1462C22×C4D4×D7311yescharacteristic
1463C22×C4C23×D7311yescharacteristic
1464Q16—2921no—
1465Q16—2921no—
1466Q16—2921no—
1467SD16—22no—
1468SD16—41no—
1469SD16—2921no—
1470SD16—2921no—
1471SD16—2921no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—2921no—
1477SD16—1462no—
1478SD16—1462no—
1479D8—22no—
1480D8—41no—
1481D8—2921no—
1482D8—2921no—
1483D8—2921no—
1484D8—2921no—
1485D8—2921no—
1486D8—1462no—
1487D8—1462no—
1488M16—2921no—
1489M16—2921no—
1490M16—2921no—
1491M16—2921no—
1492C2×C8—2921no—
1493C2×C8—2921no—
1494C2×C8—731no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—731no—
1518C4⋊C4—731no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4C23×D7311yescharacteristic
1538C4⋊C4C23×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
1556C22⋊C4—731no—
1557C22⋊C4—731no—
1558C22⋊C4—731no—
1559C22⋊C4—731no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4—1461no—
1588C22⋊C4—1461no—
1589C42—21no—
1590C42—731no—
1591C42—731no—
1592C42—1461no—
1593C42—1461no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42D4×D7311yescharacteristic
1598C42D4×D7311yescharacteristic
1599C42C23×D7311yescharacteristic
1600C42C23×D7311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—42no—
1605C23—42no—
1606C23—81no—
1607C23—2922no—
1608C23—5841no—
1609C23—5841no—
1610C23—5841no—
1611C23—5841no—
1612C23—5841no—
1613C23—731no—
1614C23—731no—
1615C23—1461no—
1616C23—1461no—
1617C23—1461no—
1618C23C2×D4×D7311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—2921no—
1622Q8—5841no—
1623Q8—5841no—
1624Q8—1461no—
1625Q8—1461no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—42no—
1636D4—81no—
1637D4—2921no—
1638D4—2922no—
1639D4—2922no—
1640D4—2922no—
1641D4—2921no—
1642D4—2921no—
1643D4—5841no—
1644D4—5841no—
1645D4—5841no—
1646D4—5841no—
1647D4—5841no—
1648D4—5841no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—5841no—
1659D4—1461no—
1660D4—1461no—
1661D4—1461no—
1662D4—1461no—
1663D4—1461no—
1664D4—1461no—
1665D4#1455663712yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—42no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—2922no—
1682C2×C4—5841no—
1683C2×C4—5841no—
1684C2×C4—5841no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—5841no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4C2×D4×D7311yescharacteristic
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—22no—
1725C22—21no—
1726C22—21no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—84no—
1736C22—2921no—
1737C22—2921no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—2921no—
1745C22—11682no—
1746C22—11682no—
1747C22—1461no—
1748C22—1461no—
1749C22—1461no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—2921no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4C2×#1455663711yescharacteristic
1776C4#1798942311yescharacteristic
1777C2—41no—
1778C2—42no—
1779C2—81no—
1780C2—81no—
1781C2—2921no—
1782C2—2921no—
1783C2—5841no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262359211yescharacteristic
1787C2#2262470011yescharacteristic
1788C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3105C2
socleC22×C73C23×D4
hypercenter#3105D73
hypocenterC73#62027
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3105

Complements

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

NH ≅ G/Ntype
1. #22624511C2semidirect
2. #22623871C2semidirect
3. #22622993C2semidirect
4. #22622943C2semidirect
5. #22622680C2semidirect
6. #22622581C2semidirect
7. #22622234C2semidirect
8. #22622202C2semidirect
9. #22622189C2semidirect
10. #22622060C2semidirect
11. #22621895C2semidirect
12. #22621786C2semidirect
13. #22621640C2semidirect
14. #22621549C2semidirect
15. #22621542C2semidirect
16. #22621541C2semidirect
17. #22621454C2semidirect
18. #22621424C2semidirect
19. #22621379C2semidirect
20. #22621346C2semidirect
21. #22621327C2semidirect
22. #22621037C2semidirect
23. #22620978C2semidirect
24. #22620909C2semidirect
25. #22620176C2semidirect
26. #22620150C2semidirect
27. #22619471C2semidirect
28. #22619441C2semidirect
29. #22619395C2semidirect
30. #22619082C2semidirect
31. C73×#3105C2semidirect
33. C2×#14556617C22semidirect
37. C2×SD16×D73C22semidirect
40. #17989320C22semidirect
41. #17989320C22semidirect
42. #17989309C22semidirect
43. #17989296C22semidirect
47. #17989272C22semidirect
52. #17989249C22semidirect
54. #17989239C22semidirect
56. #17989234C22semidirect
58. #17989232C22semidirect
61. D4×C22⋊D73C22semidirect
62. #17989202C22semidirect
63. #17989200C22semidirect
64. #17989193C22semidirect
72. #17989157C22semidirect
73. #17989155C22semidirect
74. #17989137C22semidirect
76. #17989121C22semidirect
80. #17989059C22semidirect
81. #17988978C22semidirect
83. #17988971C22semidirect
84. #17988971C22semidirect
85. #17988970C22semidirect
87. #17988950C22semidirect
88. #17988945C22semidirect
89. #17988943C22semidirect
90. #17988942C22semidirect
91. #17988942C22semidirect
92. #17988936C22semidirect
93. #17988924C22semidirect
94. #17988919C22semidirect
95. #17988914C22semidirect
96. #17988913C22semidirect
97. #17988897C22semidirect
98. #17988894C22semidirect
99. #17988893C22semidirect
100. #17988891C22semidirect
101. #17988887C22semidirect
102. #17988884C22semidirect
103. #17988876C22semidirect
104. #17988866C22semidirect
105. #17988843C22semidirect
106. #17988839C22semidirect
108. #17988835C22semidirect
109. #17988834C22semidirect
110. #17988834C22semidirect
111. #17988832C22semidirect
112. #17988831C22semidirect
114. #17988817C22semidirect
115. #17988817C22semidirect
116. #17988815C22semidirect
117. #17988812C22semidirect
118. #17988809C22semidirect
119. #17988806C22semidirect
122. #17988802C22semidirect
123. #17988802C22semidirect
124. #17988802C22semidirect
125. #17988802C22semidirect
126. #17988801C22semidirect
127. #17988801C22semidirect
128. #17988801C22semidirect
130. #17988799C22semidirect
131. #17988798C22semidirect
132. #17988793C22semidirect
133. #17988792C22semidirect
134. #17988792C22semidirect
135. #17988791C22semidirect
136. #17988790C22semidirect
137. #17988788C22semidirect
138. #17988786C22semidirect
139. #17988786C22semidirect
140. #17988786C22semidirect
141. #17988783C22semidirect
143. #17988782C22semidirect
145. #17988751C22semidirect
146. #17988751C22semidirect
149. #17988750C22semidirect
150. #17988744C22semidirect
151. #17988735C22semidirect
153. #17988734C22semidirect
154. #17988731C22semidirect
156. #17988724C22semidirect
158. #17988722C22semidirect
159. #17988722C22semidirect
160. #17988719C22semidirect
161. #17988717C22semidirect
162. C8×Dic146C22semidirect
163. #17988698C22semidirect
164. #17988696C22semidirect
165. #17988693C22semidirect
166. #17988684C22semidirect
167. #17988681C22semidirect
168. #17988678C22semidirect
169. #17988669C22semidirect
171. #17988666C22semidirect
172. #17988662C22semidirect
173. #17988662C22semidirect
174. #17988661C22semidirect
175. #17988661C22semidirect
176. C8×D292C22semidirect
177. #17988647C22semidirect
178. #17988647C22semidirect
179. #17988612C22semidirect
180. #17988612C22semidirect
181. #17988611C22semidirect
182. #17988594C22semidirect
183. #17988587C22semidirect
184. #17988586C22semidirect
185. #17988586C22semidirect
186. #17988580C22semidirect
187. #102×D73C22semidirect
188. #529×C73C22semidirect
189. C2×C4×D4×C73C22semidirect
190. #484×C73C22semidirect
191. #481×C73C22semidirect
192. #478×C73C22semidirect
193. #478×C73C22semidirect
195. #463×C73C22semidirect
196. #450×C73C22semidirect
198. C4×SD16×C73C22semidirect
199. C4×SD16×C73C22semidirect
201. C4×D8×C73C22semidirect
202. #431×C73C22semidirect
921. #3105D73semidirect
926. C73#62027semidirect
972. #529C2×D73semidirect
977. C2×C4×D4C2×D73semidirect
991. #484C2×D73semidirect
995. #481C2×D73semidirect
1002. #478C2×D73semidirect
1003. #478C2×D73semidirect
1033. #463C2×D73semidirect
1054. #450C2×D73semidirect
1074. C4×SD16C2×D73semidirect
1075. C4×SD16C2×D73semidirect
1079. C4×D8C2×D73semidirect
1088. #431C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245112
#226238712
#226229932
#226229432
#226226802
#226225812
#226222342
#226222022
#226221892
#226220602
#226218952
#226217862
#226216402
#226215492
#226215422
#226215412
#226214542
#226214242
#226213792
#226213462
#226213272
#226210372
#226209782
#226209092
#226201762
#226201502
#226194712
#226194412
#226193952
#226190822
C73×#31052
#6202773