Finite Group Databasebeta

← #33956710

Subgroups — #33956710

Order 18688.

2166 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623261C211yesmaximal, characteristic, complemented
2#22623260C211yesmaximal, characteristic, complemented
3#22620840C211yesmaximal, characteristic, complemented
4#22620839C211yesmaximal, characteristic, complemented
5#22620832C211yesmaximal, characteristic, complemented
6#22620830C211yesmaximal, characteristic, complemented
7#22620824C211yesmaximal, characteristic, complemented
8#22620817C211yesmaximal, characteristic, complemented
9#22620812C211yesmaximal, characteristic, complemented
10#22620810C211yesmaximal, characteristic, complemented
11#22620809C211yesmaximal, characteristic, complemented
12#22620801C211yesmaximal, characteristic, complemented
13#22620800C211yesmaximal, characteristic, complemented
14#22620794C211yesmaximal, characteristic, complemented
15#22620787C211yesmaximal, characteristic, complemented
16#22620782C211yesmaximal, characteristic, complemented
17#22620780C211yesmaximal, characteristic, complemented
18#22620779C211yesmaximal, characteristic, complemented
19#22619846C211yesmaximal, characteristic, complemented
20#22619842C211yesmaximal, characteristic, complemented
21#22619842C211yesmaximal, characteristic, complemented
22#22619840C211yesmaximal, characteristic, complemented
23#22619539C211yesmaximal, characteristic, complemented
24#22619536C211yesmaximal, characteristic, complemented
25#22619511C211yesmaximal, characteristic, complemented
26#22619508C211yesmaximal, characteristic, complemented
27#22619149C211yesmaximal, characteristic, complemented
28#22619145C211yesmaximal, characteristic, complemented
29#22619145C211yesmaximal, characteristic, complemented
30C2×#17988552C211yesmaximal, characteristic, complemented
31C73×#3002C211yesmaximal, characteristic, complemented
32C22×#11924028C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic, complemented
34C2×#14556611C2211yescharacteristic
35C2×#14556611C2211yescharacteristic
36C22×#11924011C2211yescharacteristic, complemented
37C22×C8×D73C2211yescharacteristic, complemented
38#17989167C2211yescharacteristic
39#17989167C2211yescharacteristic, complemented
40#17989166C2211yescharacteristic
41#17989166C2211yescharacteristic, complemented
42#17989165C2211yescharacteristic
43#17989165C2211yescharacteristic
44#17989165C2211yescharacteristic, complemented
45#17989165C2211yescharacteristic, complemented
46#17989161C2211yescharacteristic
47#17989161C2211yescharacteristic, complemented
48#17989160C2211yescharacteristic
49#17989160C2211yescharacteristic, complemented
50#17989159—21no—
51#17989158—21no—
52#17989154C2211yescharacteristic
53#17989154C2211yescharacteristic, complemented
54#17989153C2211yescharacteristic
55#17989153C2211yescharacteristic, complemented
56#17989152—21no—
57#17989151—21no—
58#17989148—21no—
59#17989147—21no—
60#17989146—21no—
61#17989146—21no—
62#17989134—21no—
63#17989134—21no—
64#17989133—21no—
65#17989133—21no—
66#17989099C2211yescharacteristic, complemented
67#17989098—21no—
68#17989098—21no—
69#17989098C2211yescharacteristic
70#17989096—21no—
71#17989096—21no—
72#17989094C2211yescharacteristic
73#17989094C2211yescharacteristic
74#17989094C2211yescharacteristic, complemented
75#17989094C2211yescharacteristic, complemented
76#17989094C2211yescharacteristic, complemented
77C2×#14556550C2211yescharacteristic, complemented
78#117×D73C2211yescharacteristic, complemented
79#17988929C2211yescharacteristic, complemented
80#17988929C2211yescharacteristic, complemented
81#17988927C2211yescharacteristic, complemented
82#17988927C2211yescharacteristic, complemented
83#17988926C2211yescharacteristic, complemented
84#17988926C2211yescharacteristic, complemented
85#17988925C2211yescharacteristic, complemented
86#17988925C2211yescharacteristic, complemented
87#17988923C2211yescharacteristic, complemented
88#17988921C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988920C2211yescharacteristic, complemented
91#17988918C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988916C2211yescharacteristic, complemented
94#17988915C2211yescharacteristic, complemented
95#17988912C2211yescharacteristic, complemented
96#17988912C2211yescharacteristic, complemented
97#17988910C2211yescharacteristic, complemented
98#17988910C2211yescharacteristic, complemented
99#17988909C2211yescharacteristic, complemented
100#17988909C2211yescharacteristic, complemented
101#17988908C2211yescharacteristic, complemented
102#17988908C2211yescharacteristic, complemented
103#17988906C2211yescharacteristic, complemented
104#17988904C2211yescharacteristic, complemented
105#17988904C2211yescharacteristic, complemented
106#17988903C2211yescharacteristic, complemented
107#17988901C2211yescharacteristic, complemented
108#17988899C2211yescharacteristic, complemented
109#17988899C2211yescharacteristic, complemented
110#17988898C2211yescharacteristic, complemented
111#17988844C2211yescharacteristic, complemented
112#17988844C2211yescharacteristic, complemented
113#17988842C2211yescharacteristic, complemented
114#17988842C2211yescharacteristic, complemented
115#17988839C2211yescharacteristic, complemented
116#17988839C2211yescharacteristic, complemented
117#17988837C2211yescharacteristic, complemented
118#17988837C2211yescharacteristic, complemented
119#17988836C2211yescharacteristic, complemented
120#17988836C2211yescharacteristic, complemented
121#17988832C2211yescharacteristic, complemented
122#17988832C2211yescharacteristic, complemented
123#17988830C2211yescharacteristic, complemented
124#17988830C2211yescharacteristic, complemented
125#17988830C2211yescharacteristic, complemented
126#17988830C2211yescharacteristic, complemented
127#17988827C2211yescharacteristic, complemented
128#17988827C2211yescharacteristic, complemented
129#17988825C2211yescharacteristic, complemented
130#17988825C2211yescharacteristic, complemented
131#17988822C2211yescharacteristic, complemented
132#17988822C2211yescharacteristic, complemented
133#17988820C2211yescharacteristic, complemented
134#17988820C2211yescharacteristic, complemented
135#17988819C2211yescharacteristic, complemented
136#17988819C2211yescharacteristic, complemented
137#17988815C2211yescharacteristic, complemented
138#17988815C2211yescharacteristic, complemented
139#17988813C2211yescharacteristic, complemented
140#17988813C2211yescharacteristic, complemented
141#17988813C2211yescharacteristic, complemented
142#17988813C2211yescharacteristic, complemented
143#17988749C2211yescharacteristic, complemented
144#17988749C2211yescharacteristic, complemented
145#17988748C2211yescharacteristic, complemented
146#17988748C2211yescharacteristic, complemented
147#17988746C2211yescharacteristic, complemented
148#17988746C2211yescharacteristic, complemented
149#17988743C2211yescharacteristic, complemented
150#17988741C2211yescharacteristic, complemented
151#17988741C2211yescharacteristic, complemented
152#17988738C2211yescharacteristic, complemented
153#17988736C2211yescharacteristic, complemented
154#17988736C2211yescharacteristic, complemented
155#17988732C2211yescharacteristic, complemented
156#17988732C2211yescharacteristic, complemented
157#17988731C2211yescharacteristic, complemented
158#17988731C2211yescharacteristic, complemented
159#17988729C2211yescharacteristic, complemented
160#17988729C2211yescharacteristic, complemented
161#17988726C2211yescharacteristic, complemented
162#17988724C2211yescharacteristic, complemented
163#17988724C2211yescharacteristic, complemented
164#17988721C2211yescharacteristic, complemented
165#17988719C2211yescharacteristic, complemented
166#17988719C2211yescharacteristic, complemented
167#17988625C2211yescharacteristic, complemented
168#17988625C2211yescharacteristic, complemented
169#17988623C2211yescharacteristic, complemented
170#17988623C2211yescharacteristic, complemented
171#17988584C2211yescharacteristic, complemented
172#17988584C2211yescharacteristic, complemented
173#17988583C2211yescharacteristic, complemented
174#17988583C2211yescharacteristic, complemented
175#17988583C2211yescharacteristic, complemented
176#17988583C2211yescharacteristic, complemented
177#17988552C2211yescharacteristic
178#17988552C2211yescharacteristic
179#17988552C2211yescharacteristic, complemented
180#17988552C2211yescharacteristic, complemented
181#17988552C2211yescharacteristic, complemented
182#17988552C2211yescharacteristic, complemented
183#17988552C2211yescharacteristic, complemented
184#17988552C2211yescharacteristic, complemented
185C2×C22⋊#10596831C2211yescharacteristic, complemented
186C2×#14556503C2211yescharacteristic, complemented
187C2×#14556503C2211yescharacteristic, complemented
188C22×#41×C73C2211yescharacteristic, complemented
189C2×#135×C73C2211yescharacteristic
190C2×#135×C73C2211yescharacteristic
191#525×C73C2211yescharacteristic
192#452×C73C2211yescharacteristic, complemented
193#452×C73C2211yescharacteristic, complemented
194#451×C73C2211yescharacteristic, complemented
195#450×C73C2211yescharacteristic, complemented
196#449×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#448×C73C2211yescharacteristic, complemented
199#447×C73C2211yescharacteristic, complemented
200#416×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic, complemented
202C2×C22⋊C8×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028—42no—
206C2×#11924028—42no—
207C2×#11924028D411yescharacteristic
208C2×#11924028D411yescharacteristic
209C2×#11924028D411yescharacteristic
210C2×#11924028D411yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924028C2311yescharacteristic
214C2×#11924028C2311yescharacteristic
215C2×#11924028C2311yescharacteristic
216C2×#11924027—21no—
217C2×#11924027C2311yescharacteristic
218#41×D73—42no—
219#41×D73—42no—
220C22×Dic146D411yescharacteristic
221C2×Q8×D73C2311yescharacteristic
222C22×D292D411yescharacteristic
223C22×C22⋊D73D411yescharacteristic
224C22×C22⋊D73D411yescharacteristic
225C2×D4×D73—21no—
226C2×D4×D73C2311yescharacteristic
227C22×C4×D73—21no—
228C22×C4×D73C2311yescharacteristic
229C22×C4×D73C2311yescharacteristic
230#14556611—42no—
231#14556611—42no—
232C2×#11924018C2311yescharacteristic
233C2×#11924018C2311yescharacteristic
234C2×#11924016C2311yescharacteristic
235C2×#11924016C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237C2×#11924015C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924011—42no—
241C2×#11924011C2311yescharacteristic
242C2×#11924011C2311yescharacteristic
243C2×#11924011C2311yescharacteristic
244C2×#11924011C2311yescharacteristic
245C22×#10596831C2311yescharacteristic
246C22×#10596831C2311yescharacteristic
247C2×C8×D73—42no—
248C2×C8×D73C2311yescharacteristic
249C2×C8×D73C2311yescharacteristic
250C2×C8×D73C2311yescharacteristic
251C2×C8×D73C2311yescharacteristic
252#14556590—21no—
253#14556590—21no—
254#14556589—21no—
255#14556589—21no—
256#14556587—21no—
257#14556587—21no—
258#14556587—21no—
259#14556587—21no—
260#14556580—21no—
261#14556580—21no—
262#14556578—21no—
263#14556578—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556576—21no—
269#14556576—21no—
270#14556575—21no—
271#14556574—21no—
272#14556574—21no—
273#14556574—21no—
274#14556574—21no—
275#14556574—21no—
276#14556573—21no—
277#14556573—21no—
278#14556572—21no—
279#14556572—21no—
280#14556572—21no—
281#14556572—21no—
282#14556572—21no—
283#14556571C2311yescharacteristic
284#14556571C2311yescharacteristic
285#14556570—21no—
286#14556570—21no—
287#14556570—21no—
288#14556570—21no—
289#14556570C2311yescharacteristic
290#14556570C2311yescharacteristic
291#14556569—21no—
292#14556569—21no—
293#14556568—21no—
294#14556568—21no—
295#14556567C2311yescharacteristic
296#14556567C2311yescharacteristic
297#14556567C2311yescharacteristic
298#14556567C2311yescharacteristic
299#14556567C2311yescharacteristic
300#14556567C2311yescharacteristic
301#14556567C2311yescharacteristic
302#14556567C2311yescharacteristic
303#14556567C2311yescharacteristic
304#14556567C2311yescharacteristic
305#14556566—21no—
306#14556566—21no—
307#14556566C2311yescharacteristic
308#14556566C2311yescharacteristic
309#14556565—21no—
310#14556565—21no—
311#14556565—21no—
312#14556565—21no—
313#14556565C2311yescharacteristic
314#14556565C2311yescharacteristic
315#14556564—21no—
316#14556564—21no—
317#14556564—21no—
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556563—21no—
322#14556563—21no—
323#14556563—21no—
324#14556563—21no—
325#14556563—21no—
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556563—21no—
331#14556562—21no—
332#14556562—21no—
333#14556562C2311yescharacteristic
334#14556562C2311yescharacteristic
335#14556562C2311yescharacteristic
336#14556562C2311yescharacteristic
337#14556562C2311yescharacteristic
338#14556562C2311yescharacteristic
339#14556562C2311yescharacteristic
340#14556562C2311yescharacteristic
341#14556562C2311yescharacteristic
342#14556562C2311yescharacteristic
343#14556561—21no—
344#14556561—21no—
345#14556561—21no—
346#14556560—21no—
347#14556560—21no—
348#14556560—21no—
349#14556560—21no—
350#14556560—21no—
351#14556559—21no—
352#14556559—21no—
353#14556559—21no—
354#14556559—21no—
355#14556559—21no—
356#14556559—21no—
357#14556559—21no—
358C4×D292—21no—
359C4×D292—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73—21no—
362C4×C22⋊D73—21no—
363C4×C22⋊D73—21no—
364C4×C22⋊D73—21no—
365C4×C22⋊D73—21no—
366C4×C22⋊D73—21no—
367C4×C22⋊D73—21no—
368C4×C22⋊D73—21no—
369C4×C22⋊D73—21no—
370C4×C22⋊D73—21no—
371C4×C22⋊D73—21no—
372#14556550—21no—
373#14556550—21no—
374#14556550C2311yescharacteristic
375#14556550C2311yescharacteristic
376#14556550C2311yescharacteristic
377#14556550C2311yescharacteristic
378#14556550C2311yescharacteristic
379#14556549C2311yescharacteristic
380#14556549C2311yescharacteristic
381#14556548—21no—
382#14556547—21no—
383C2×C4⋊Dic73C2311yescharacteristic
384C2×C4⋊Dic73C2311yescharacteristic
385C4⋊C4×D73C2311yescharacteristic
386C4⋊C4×D73C2311yescharacteristic
387C2×C22⋊Dic73—21no—
388C22⋊C4×D73—21no—
389C2×C4×Dic73—21no—
390C42×D73—21no—
391#14556525C2311yescharacteristic
392#14556525C2311yescharacteristic
393#14556525C2311yescharacteristic
394#14556525C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556523C2311yescharacteristic
401#14556523C2311yescharacteristic
402#14556523C2311yescharacteristic
403#14556522C2311yescharacteristic
404#14556522C2311yescharacteristic
405#14556522C2311yescharacteristic
406#14556522C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443C2×#41×C73—21no—
444C2×#41×C73—21no—
445C2×#41×C73—42no—
446C2×#41×C73—42no—
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C2×#41×C73C2311yescharacteristic
450C2×#41×C73C2311yescharacteristic
451C2×#41×C73C2311yescharacteristic
452C22×Q8×C73C2311yescharacteristic
453C22×D4×C73—21no—
454C22×D4×C73C2311yescharacteristic
455C23×C4×C73—21no—
456C23×C4×C73C2311yescharacteristic
457#135×C73—42no—
458#135×C73—42no—
459C2×Q16×C73C2311yescharacteristic
460C2×Q16×C73C2311yescharacteristic
461C2×SD16×C73C2311yescharacteristic
462C2×SD16×C73C2311yescharacteristic
463C2×SD16×C73C2311yescharacteristic
464C2×SD16×C73C2311yescharacteristic
465C2×D8×C73C2311yescharacteristic
466C2×D8×C73C2311yescharacteristic
467C22×C8×C73C2311yescharacteristic
468C22×C8×C73C2311yescharacteristic
469#123×C73—21no—
470C22⋊Q8×C73C2311yescharacteristic
471C22⋊Q8×C73C2311yescharacteristic
472#121×C73C2311yescharacteristic
473#121×C73C2311yescharacteristic
474#120×C73—21no—
475C4×D4×C73—21no—
476C4×D4×C73—21no—
477#117×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C22⋊C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73C2×D411yescharacteristic
492C23×D73C2×D411yescharacteristic
493#11924029—41no—
494#11924029—41no—
495#11924028—22no—
496#11924028—22no—
497#11924028—42no—
498#11924028—42no—
499#11924028—42no—
500#11924028—42no—
501#11924028—41no—
502#11924028—41no—
503#11924028—41no—
504#11924028—41no—
505#11924028—41no—
506#11924028—41no—
507#11924028—41no—
508#11924028—41no—
509#11924028—44no—
510#11924027—41no—
511#11924027—41no—
512#11924027—44no—
513C2×Dic146—21no—
514C2×Dic146—42no—
515C2×Dic146C2×D411yescharacteristic
516C2×Dic146C2×D411yescharacteristic
517C2×Dic146C2×D411yescharacteristic
518C2×Dic146C2×D411yescharacteristic
519C2×Dic146C2411yescharacteristic
520Q8×D73—41no—
521Q8×D73—41no—
522C2×D292—21no—
523C2×D292—21no—
524C2×D292—21no—
525C2×D292—42no—
526C2×D292C2×D411yescharacteristic
527C2×D292C2×D411yescharacteristic
528C2×D292C2×D411yescharacteristic
529C2×D292C2×D411yescharacteristic
530C2×D292C2411yescharacteristic
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—42no—
547C2×C22⋊D73—42no—
548C2×C22⋊D73C2×D411yescharacteristic
549C2×C22⋊D73C2×D411yescharacteristic
550C2×C22⋊D73C2×D411yescharacteristic
551C2×C22⋊D73C2×D411yescharacteristic
552C2×C22⋊D73C2×D411yescharacteristic
553C2×C22⋊D73C2×D411yescharacteristic
554C2×C22⋊D73C2×D411yescharacteristic
555C2×C22⋊D73C2×D411yescharacteristic
556D4×D73—41no—
557D4×D73—41no—
558D4×D73—44no—
559C22×Dic73—21no—
560C22×Dic73—21no—
561C22×Dic73—21no—
562C22×Dic73C2×D411yescharacteristic
563C22×Dic73C2×D411yescharacteristic
564C2×C4×D73—22no—
565C2×C4×D73—22no—
566C2×C4×D73—22no—
567C2×C4×D73—22no—
568C2×C4×D73—21no—
569C2×C4×D73—21no—
570C2×C4×D73—21no—
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—44no—
574C2×C4×D73C2×D411yescharacteristic
575C2×C4×D73C2×D411yescharacteristic
576C2×C4×D73C2×D411yescharacteristic
577C2×C4×D73C2×D411yescharacteristic
578C2×C4×D73C2411yescharacteristic
579C2×C4×D73C2411yescharacteristic
580C2×C4×D73C2411yescharacteristic
581C2×C4×D73C2411yescharacteristic
582#11924018—41no—
583#11924018—41no—
584#11924016—41no—
585#11924016—41no—
586#11924015—41no—
587#11924015—41no—
588#11924013—41no—
589#11924013—41no—
590#11924011—41no—
591#11924011—41no—
592#11924011—41no—
593#11924011—41no—
594C2×#10596831—22no—
595C2×#10596831—22no—
596C2×#10596831C2411yescharacteristic
597C2×#10596831C2411yescharacteristic
598C2×#10596831C2411yescharacteristic
599C2×#10596831C2411yescharacteristic
600C8×D73—41no—
601C8×D73—41no—
602C8×D73—41no—
603C8×D73—41no—
604C4⋊Dic73—21no—
605C4⋊Dic73—21no—
606C4⋊Dic73—21no—
607C4⋊Dic73—21no—
608C4⋊Dic73C2411yescharacteristic
609C4⋊Dic73C2411yescharacteristic
610C4⋊Dic73C2411yescharacteristic
611C4⋊Dic73C2411yescharacteristic
612C4⋊Dic73C2411yescharacteristic
613C4⋊Dic73C2411yescharacteristic
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628C22⋊Dic73—21no—
629C22⋊Dic73—21no—
630C22⋊Dic73—21no—
631C22⋊Dic73—21no—
632C22⋊Dic73—21no—
633C22⋊Dic73—21no—
634C22⋊Dic73—21no—
635C22⋊Dic73—21no—
636C22⋊Dic73—21no—
637C22⋊Dic73—21no—
638C22⋊Dic73—21no—
639C22⋊Dic73—21no—
640C22⋊Dic73—21no—
641C22⋊Dic73—21no—
642C22⋊Dic73—21no—
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663C4×Dic73—21no—
664C4×Dic73—21no—
665C4×Dic73—21no—
666C4×Dic73—21no—
667C4×Dic73—21no—
668C4×Dic73—21no—
669C4×Dic73—21no—
670C24×C73—21no—
671C24×C73C2×D411yescharacteristic
672#41×C73—22no—
673#41×C73—22no—
674#41×C73—22no—
675#41×C73—22no—
676#41×C73—22no—
677#41×C73—22no—
678#41×C73—41no—
679#41×C73—41no—
680#41×C73—41no—
681#41×C73—41no—
682#41×C73—44no—
683#41×C73—44no—
684C2×Q8×C73—21no—
685C2×Q8×C73—41no—
686C2×Q8×C73—41no—
687C2×Q8×C73C2411yescharacteristic
688C2×Q8×C73C2411yescharacteristic
689C2×Q8×C73C2411yescharacteristic
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73—21no—
698C2×D4×C73—41no—
699C2×D4×C73—41no—
700C2×D4×C73—44no—
701C2×D4×C73C2411yescharacteristic
702C2×D4×C73C2411yescharacteristic
703C2×D4×C73C2411yescharacteristic
704C22×C4×C73—22no—
705C22×C4×C73—22no—
706C22×C4×C73—21no—
707C22×C4×C73—21no—
708C22×C4×C73—21no—
709C22×C4×C73—21no—
710C22×C4×C73—21no—
711C22×C4×C73—21no—
712C22×C4×C73—44no—
713C22×C4×C73C2×D411yescharacteristic
714C22×C4×C73C2×D411yescharacteristic
715C22×C4×C73C2×D411yescharacteristic
716C22×C4×C73C2411yescharacteristic
717C22×C4×C73C2411yescharacteristic
718C22×C4×C73C2411yescharacteristic
719Q16×C73—41no—
720Q16×C73—41no—
721SD16×C73—41no—
722SD16×C73—41no—
723SD16×C73—41no—
724SD16×C73—41no—
725D8×C73—41no—
726D8×C73—41no—
727C2×C8×C73—22no—
728C2×C8×C73—22no—
729C2×C8×C73C2411yescharacteristic
730C2×C8×C73C2411yescharacteristic
731C2×C8×C73C2411yescharacteristic
732C2×C8×C73C2411yescharacteristic
733C4⋊C4×C73—21no—
734C4⋊C4×C73—21no—
735C4⋊C4×C73C2411yescharacteristic
736C4⋊C4×C73C2411yescharacteristic
737C22⋊C4×C73—21no—
738C22⋊C4×C73—21no—
739C22⋊C4×C73—21no—
740C22⋊C4×C73—21no—
741C22⋊C4×C73—21no—
742C42×C73—21no—
743C23×C73—22no—
744C23×C73—21no—
745C23×C73—21no—
746C23×C73—21no—
747C23×C73—41no—
748C23×C73—41no—
749C23×C73—42no—
750C23×C73—81no—
751C23×C73—81no—
752C23×C73C22×D411yescharacteristic
753C23×C73C22×D411yescharacteristic
754C23×C73C22×D411yescharacteristic
755C22×D73—22no—
756C22×D73—22no—
757C22×D73—21no—
758C22×D73—41no—
759C22×D73—41no—
760C22×D73—41no—
761C22×D73—41no—
762C22×D73—42no—
763C22×D73—81no—
764C22×D73—81no—
765C22×D73C22×D411yescharacteristic
766C22×D73C22×D411yescharacteristic
767C22×D73C22×D411yescharacteristic
768C22×D73C22×D411yescharacteristic
769Q8×C73—21no—
770Q8×C73—21no—
771Q8×C73—21no—
772Q8×C73—21no—
773Q8×C73—21no—
774Q8×C73—21no—
775Q8×C73—42no—
776D4×C73—21no—
777D4×C73—21no—
778D4×C73—21no—
779D4×C73—21no—
780D4×C73—21no—
781D4×C73—21no—
782D4×C73—42no—
783D4×C73—42no—
784D4×C73—42no—
785D4×C73—42no—
786D4×C73—42no—
787D4×C73—42no—
788D4×C73—81no—
789D4×C73—81no—
790C2×C4×C73—22no—
791C2×C4×C73—22no—
792C2×C4×C73—22no—
793C2×C4×C73—21no—
794C2×C4×C73—21no—
795C2×C4×C73—21no—
796C2×C4×C73—21no—
797C2×C4×C73—21no—
798C2×C4×C73—21no—
799C2×C4×C73—21no—
800C2×C4×C73—21no—
801C2×C4×C73—21no—
802C2×C4×C73—42no—
803C2×C4×C73—42no—
804C2×C4×C73—42no—
805C2×C4×C73—42no—
806C2×C4×C73—42no—
807C2×C4×C73—42no—
808C2×C4×C73C22×D411yescharacteristic
809C2×C4×C73C22×D411yescharacteristic
810C2×C4×C73C22×D411yescharacteristic
811C2×C4×C73H(5,𝔽2)12yes—
812C2×C4×C73H(5,𝔽2)12yes—
813C2×C4×C73C2511yescharacteristic
814C22⋊D73—41no—
815C22⋊D73—41no—
816C22⋊D73—41no—
817C22⋊D73—41no—
818C22⋊D73—41no—
819C22⋊D73—41no—
820C22⋊D73—41no—
821C22⋊D73—41no—
822C22⋊D73—42no—
823C22⋊D73—42no—
824C22⋊D73—42no—
825C22⋊D73—81no—
826C22⋊D73—81no—
827C22⋊D73—81no—
828C22⋊D73—81no—
829C22⋊D73—81no—
830C22⋊D73—81no—
831C22⋊D73—81no—
832C22⋊D73—81no—
833C22⋊D73—81no—
834C22⋊D73—81no—
835C22⋊D73—81no—
836C22⋊D73—81no—
837C2×Dic73—22no—
838C2×Dic73—22no—
839C2×Dic73—21no—
840C2×Dic73—21no—
841C2×Dic73—21no—
842C2×Dic73—21no—
843C2×Dic73—21no—
844C2×Dic73—21no—
845C2×Dic73—21no—
846C2×Dic73—42no—
847C2×Dic73—81no—
848C2×Dic73—81no—
849C2×Dic73C22×D411yescharacteristic
850C2×Dic73C22×D411yescharacteristic
851C2×Dic73C22×D411yescharacteristic
852C2×Dic73C22×D411yescharacteristic
853D292—21no—
854D292—21no—
855D292—41no—
856D292—41no—
857D292—41no—
858D292—41no—
859D292—42no—
860D292—81no—
861D292—81no—
862C4×D73—22no—
863C4×D73—22no—
864C4×D73—22no—
865C4×D73—22no—
866C4×D73—21no—
867C4×D73—21no—
868C4×D73—21no—
869C4×D73—21no—
870C4×D73—21no—
871C4×D73—21no—
872C4×D73—21no—
873C4×D73—21no—
874C4×D73—42no—
875C4×D73—42no—
876C4×D73—42no—
877C4×D73—81no—
878C4×D73—81no—
879Dic146—21no—
880Dic146—21no—
881Dic146—41no—
882Dic146—41no—
883Dic146—41no—
884Dic146—41no—
885Dic146—42no—
886C8×C73—21no—
887C8×C73—21no—
888C8×C73—21no—
889C8×C73—21no—
890#10596831—21no—
891#10596831—21no—
892#10596831—21no—
893#10596831—21no—
894C22×C73—21no—
895C22×C73—21no—
896C22×C73—21no—
897C22×C73—21no—
898C22×C73—21no—
899C22×C73—21no—
900C22×C73—21no—
901C22×C73—21no—
902C22×C73—41no—
903C22×C73—41no—
904C22×C73—41no—
905C22×C73—41no—
906C22×C73—41no—
907C22×C73—41no—
908C22×C73—41no—
909C22×C73—41no—
910C22×C73—41no—
911C22×C73—82no—
912C22×C73—84no—
913C22×C73#53412yes—
914C22×C73C23×D411yescharacteristic
915C2×D73—21no—
916C2×D73—21no—
917C2×D73—21no—
918C2×D73—21no—
919C2×D73—21no—
920C2×D73—21no—
921C2×D73—21no—
922C2×D73—21no—
923C2×D73—21no—
924C2×D73—21no—
925C2×D73—21no—
926C2×D73—21no—
927C2×D73—44no—
928C2×D73—41no—
929C2×D73—41no—
930C2×D73—41no—
931C2×D73—82no—
932C2×D73—84no—
933C4×C73—21no—
934C4×C73—21no—
935C4×C73—41no—
936C4×C73—41no—
937C4×C73—41no—
938C4×C73—41no—
939C4×C73—41no—
940C4×C73#53412yes—
941C4×C73C2×H(5,𝔽2)11yescharacteristic
942C4×C73C2×H(5,𝔽2)11yescharacteristic
943Dic73—21no—
944Dic73—21no—
945Dic73—21no—
946Dic73—21no—
947Dic73—41no—
948Dic73—41no—
949Dic73—41no—
950Dic73—41no—
951Dic73—41no—
952Dic73—41no—
953Dic73—41no—
954#60749—731nomaximal, Sylow
955C2×C73—22no—
956C2×C73—41no—
957C2×C73—41no—
958C2×C73—81no—
959C2×C73—81no—
960C2×C73—81no—
961C2×C73C2×#53411yescharacteristic
962C2×C73#358411yescharacteristic
963C2×C73#358411yescharacteristic
964D73—41no—
965D73—41no—
966D73—41no—
967D73—41no—
968D73—81no—
969#3449—731no—
970#3449—731no—
971#3204—731no—
972#3204—731no—
973#3203—731no—
974#3203—731no—
975#3202—731no—
976#3201—731no—
977#3201—731no—
978#3201—731no—
979#3201—731no—
980#3200—731no—
981#3200—731no—
982#3199—731no—
983#3198—731no—
984#3198—731no—
985#3198—731no—
986#3198—731no—
987#3091—731no—
988#3091—731no—
989#3091—731no—
990#3091—731no—
991#3054—731no—
992#3054—731no—
993#3050—731no—
994#3050—731no—
995#3002—731no—
996#3002—731no—
997#3002—731no—
998#3002D7311yescharacteristic, complemented
999C2×#408—731no—
1000C73#6074911yescharacteristic, complemented, Sylow
1001C22×#41—731no—
1002C22×#41—731no—
1003C22×#41C2×D7311yescharacteristic, complemented
1004C2×#135—731no—
1005C2×#135—731no—
1006C2×#135C2×D7311yescharacteristic
1007C2×#135C2×D7311yescharacteristic
1008C22×M16—731no—
1009C23×C8—731no—
1010#537—731no—
1011#537—731no—
1012#537—731no—
1013#537—731no—
1014#537—731no—
1015#537—731no—
1016#537—731no—
1017#537—731no—
1018#536—731no—
1019#536—731no—
1020#536—731no—
1021#536—731no—
1022#536—1461no—
1023#536—1461no—
1024#535—731no—
1025#535—731no—
1026#535—731no—
1027#535—731no—
1028#535—1461no—
1029#535—1461no—
1030#534—1461no—
1031#534—1461no—
1032#534—1461no—
1033#534—1461no—
1034#532—1461no—
1035#532—1461no—
1036#532—1461no—
1037#532—1461no—
1038#525—731no—
1039#525—731no—
1040#525—731no—
1041#525—731no—
1042#525—731no—
1043#525—731no—
1044#525—731no—
1045#525—1461no—
1046#525—1461no—
1047#525—1461no—
1048#525—1461no—
1049#525C2×D7311yescharacteristic
1050C2×#117—731no—
1051C2×#117—731no—
1052#485—731no—
1053#485—731no—
1054#485—731no—
1055#485—731no—
1056#485—731no—
1057#485—731no—
1058#485—731no—
1059#485—731no—
1060#484—731no—
1061#484—731no—
1062#484—731no—
1063#484—731no—
1064#483—731no—
1065#483—731no—
1066#483—731no—
1067#483—731no—
1068#482—731no—
1069#482—731no—
1070#482—731no—
1071#482—731no—
1072#482—731no—
1073#482—731no—
1074#482—731no—
1075#482—731no—
1076#481—731no—
1077#481—731no—
1078#481—731no—
1079#481—731no—
1080#480—731no—
1081#480—731no—
1082#480—731no—
1083#480—731no—
1084#470—731no—
1085#470—731no—
1086#470—731no—
1087#470—731no—
1088#469—731no—
1089#469—731no—
1090#469—731no—
1091#469—731no—
1092#468—731no—
1093#468—731no—
1094#468—731no—
1095#468—731no—
1096#468—731no—
1097#468—731no—
1098#468—731no—
1099#468—731no—
1100#467—731no—
1101#467—731no—
1102#467—731no—
1103#467—731no—
1104#466—731no—
1105#466—731no—
1106#466—731no—
1107#466—731no—
1108#465—731no—
1109#465—731no—
1110#465—731no—
1111#465—731no—
1112#465—731no—
1113#465—731no—
1114#465—731no—
1115#465—731no—
1116#452—731no—
1117#452—731no—
1118#452—731no—
1119#452—731no—
1120#452—731no—
1121#452—731no—
1122#452C2×D7311yescharacteristic, complemented
1123#452C2×D7311yescharacteristic, complemented
1124#451—731no—
1125#451—731no—
1126#451—731no—
1127#451C2×D7311yescharacteristic, complemented
1128#450—731no—
1129#450—731no—
1130#450—731no—
1131#450C2×D7311yescharacteristic, complemented
1132#449—731no—
1133#449—731no—
1134#449—731no—
1135#449—731no—
1136#449—731no—
1137#449—731no—
1138#449C2×D7311yescharacteristic, complemented
1139#449C2×D7311yescharacteristic, complemented
1140#448—731no—
1141#448—731no—
1142#448—731no—
1143#448C2×D7311yescharacteristic, complemented
1144#447—731no—
1145#447—731no—
1146#447—731no—
1147#447C2×D7311yescharacteristic, complemented
1148#427—731no—
1149#427—731no—
1150#427—731no—
1151#427—731no—
1152#416—731no—
1153#416—731no—
1154#416—731no—
1155#416—731no—
1156#416—731no—
1157#416—731no—
1158#416C2×D7311yescharacteristic, complemented
1159#416C2×D7311yescharacteristic, complemented
1160#408—731no—
1161#408—731no—
1162#408—731no—
1163#408—731no—
1164#408—731no—
1165#408—731no—
1166#408—731no—
1167#408—731no—
1168C2×C22⋊C8—731no—
1169C2×C22⋊C8—731no—
1170C2×C22⋊C8—731no—
1171C2×C22⋊C8C2×D7311yescharacteristic, complemented
1172C2×#41—21no—
1173C2×#41—21no—
1174C2×#41—42no—
1175C2×#41—42no—
1176C2×#41—2922no—
1177C2×#41—2922no—
1178C2×#41—2922no—
1179C2×#41—2922no—
1180C2×#41—731no—
1181C2×#41—731no—
1182C2×#41—731no—
1183C2×#41—731no—
1184C2×#41—731no—
1185C2×#41—731no—
1186C2×#41—731no—
1187C2×#41—731no—
1188C2×#41—731no—
1189C2×#41—731no—
1190C2×#41—731no—
1191C2×#41—1461no—
1192C2×#41—1461no—
1193C2×#41C22×D7311yescharacteristic
1194C2×#41C22×D7311yescharacteristic
1195C2×#41C22×D7311yescharacteristic
1196C2×#41C22×D7311yescharacteristic
1197C2×#41C22×D7311yescharacteristic
1198C22×Q8—731no—
1199C22×Q8—731no—
1200C22×Q8C22×D7311yescharacteristic
1201C22×D4—21no—
1202C22×D4—731no—
1203C22×D4—731no—
1204C22×D4—731no—
1205C22×D4—731no—
1206C22×D4—1461no—
1207C22×D4C22×D7311yescharacteristic
1208C23×C4—21no—
1209C23×C4—731no—
1210C23×C4—731no—
1211C23×C4—1461no—
1212C23×C4C22×D7311yescharacteristic
1213#135—42no—
1214#135—42no—
1215#135—2922no—
1216#135—2922no—
1217C2×Q16—731no—
1218C2×Q16—731no—
1219C2×Q16C22×D7311yescharacteristic
1220C2×Q16C22×D7311yescharacteristic
1221C2×SD16—731no—
1222C2×SD16—731no—
1223C2×SD16—731no—
1224C2×SD16—731no—
1225C2×SD16C22×D7311yescharacteristic
1226C2×SD16C22×D7311yescharacteristic
1227C2×SD16C22×D7311yescharacteristic
1228C2×SD16C22×D7311yescharacteristic
1229C2×D8—731no—
1230C2×D8—731no—
1231C2×D8C22×D7311yescharacteristic
1232C2×D8C22×D7311yescharacteristic
1233C2×M16—2922no—
1234C2×M16—731no—
1235C2×M16—731no—
1236C2×M16—731no—
1237C2×M16—731no—
1238C22×C8—2922no—
1239C22×C8—731no—
1240C22×C8—731no—
1241C22×C8—731no—
1242C22×C8—731no—
1243C22×C8—731no—
1244C22×C8—731no—
1245C22×C8C22×D7311yescharacteristic
1246C22×C8C22×D7311yescharacteristic
1247C4⋊Q8—1461no—
1248C4⋊Q8—1461no—
1249C4⋊Q8—1461no—
1250C4⋊Q8—1461no—
1251#127—1461no—
1252#127—1461no—
1253#127—1461no—
1254#127—1461no—
1255#124—1461no—
1256#124—1461no—
1257#124—1461no—
1258#124—1461no—
1259#124—1461no—
1260#124—1461no—
1261#124—1461no—
1262#124—1461no—
1263#123—21no—
1264#123—1461no—
1265#123—1461no—
1266#123—1461no—
1267#123—1461no—
1268#123—1461no—
1269#123—1461no—
1270#123—1461no—
1271#123—1461no—
1272#123—1461no—
1273#123—1461no—
1274#123—1461no—
1275#123—1461no—
1276#123—1461no—
1277#123—1461no—
1278#123—1461no—
1279C22⋊Q8—731no—
1280C22⋊Q8—731no—
1281C22⋊Q8—731no—
1282C22⋊Q8—731no—
1283C22⋊Q8—731no—
1284C22⋊Q8—731no—
1285C22⋊Q8—731no—
1286C22⋊Q8—731no—
1287C22⋊Q8—731no—
1288C22⋊Q8—731no—
1289C22⋊Q8—731no—
1290C22⋊Q8—731no—
1291C22⋊Q8—731no—
1292C22⋊Q8—731no—
1293C22⋊Q8—1461no—
1294C22⋊Q8—1461no—
1295C22⋊Q8—1461no—
1296C22⋊Q8—1461no—
1297C22⋊Q8—1461no—
1298C22⋊Q8—1461no—
1299C22⋊Q8—1461no—
1300C22⋊Q8—1461no—
1301C22⋊Q8C22×D7311yescharacteristic
1302C22⋊Q8C22×D7311yescharacteristic
1303#121—731no—
1304#121—731no—
1305#121—731no—
1306#121—731no—
1307#121—731no—
1308#121—731no—
1309#121—731no—
1310#121—731no—
1311#121—731no—
1312#121—731no—
1313#121—731no—
1314#121—731no—
1315#121—731no—
1316#121—731no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121—1461no—
1323#121—1461no—
1324#121—1461no—
1325#121—1461no—
1326#121—1461no—
1327#121—1461no—
1328#121—1461no—
1329#121—1461no—
1330#121—1461no—
1331#121—1461no—
1332#121—1461no—
1333#121—1461no—
1334#121—1461no—
1335#121—1461no—
1336#121—1461no—
1337#121—1461no—
1338#121—1461no—
1339#121—1461no—
1340#121—1461no—
1341#121C22×D7311yescharacteristic
1342#121C22×D7311yescharacteristic
1343#120—21no—
1344#120—1461no—
1345#120—1461no—
1346#120—1461no—
1347#120—1461no—
1348#120—1461no—
1349#120—1461no—
1350#120—1461no—
1351#120—1461no—
1352#120—1461no—
1353#120—1461no—
1354#120—1461no—
1355#120—1461no—
1356#120—1461no—
1357#120—1461no—
1358#120—1461no—
1359C4×D4—21no—
1360C4×D4—21no—
1361C4×D4—1461no—
1362C4×D4—1461no—
1363C4×D4—1461no—
1364C4×D4—1461no—
1365C4×D4—1461no—
1366C4×D4—1461no—
1367C4×D4—1461no—
1368C4×D4—1461no—
1369C4×D4—1461no—
1370C4×D4—1461no—
1371C4×D4—1461no—
1372C4×D4—1461no—
1373C4×D4—1461no—
1374C4×D4—1461no—
1375#117—731no—
1376#117—731no—
1377#117—731no—
1378#117—731no—
1379#117—731no—
1380#117—731no—
1381#117—731no—
1382#117—1461no—
1383#117—1461no—
1384#117—1461no—
1385#117—1461no—
1386#117C22×D7311yescharacteristic
1387C2×C4⋊C4—731no—
1388C2×C4⋊C4—731no—
1389C2×C4⋊C4—731no—
1390C2×C4⋊C4—731no—
1391C2×C22⋊C4—1461no—
1392C2×C22⋊C4—1461no—
1393C2×C42—1461no—
1394C2×C42—1461no—
1395#107—731no—
1396#107—731no—
1397#107—731no—
1398#107—731no—
1399#107—731no—
1400#107—731no—
1401#107—731no—
1402#107—731no—
1403#106—731no—
1404#106—731no—
1405#106—731no—
1406#106—731no—
1407#106—731no—
1408#106—731no—
1409#106—731no—
1410#106—731no—
1411#103—731no—
1412#103—731no—
1413#103—731no—
1414#103—731no—
1415#103—731no—
1416#103—731no—
1417#103—731no—
1418#103—731no—
1419#103—731no—
1420#103—731no—
1421#103—731no—
1422#103—731no—
1423#103C22×D7311yescharacteristic
1424#103C22×D7311yescharacteristic
1425#103C22×D7311yescharacteristic
1426#103C22×D7311yescharacteristic
1427#102—731no—
1428#102—731no—
1429#102—731no—
1430#102—731no—
1431#102—731no—
1432#102—731no—
1433#102—731no—
1434#102—731no—
1435#102—731no—
1436#102—731no—
1437#102—731no—
1438#102—731no—
1439#102C22×D7311yescharacteristic
1440#102C22×D7311yescharacteristic
1441#102C22×D7311yescharacteristic
1442#102C22×D7311yescharacteristic
1443C22⋊C8—731no—
1444C22⋊C8—731no—
1445C22⋊C8—731no—
1446C22⋊C8—731no—
1447C22⋊C8—731no—
1448C22⋊C8—731no—
1449C22⋊C8—731no—
1450C22⋊C8—731no—
1451C22⋊C8—731no—
1452C22⋊C8—731no—
1453C22⋊C8—731no—
1454C22⋊C8—731no—
1455C22⋊C8C22×D7311yescharacteristic
1456C22⋊C8C22×D7311yescharacteristic
1457C22⋊C8C22×D7311yescharacteristic
1458C22⋊C8C22×D7311yescharacteristic
1459C24—21no—
1460C24—731no—
1461C24—731no—
1462C24—1461no—
1463C24D4×D7311yescharacteristic
1464#41—22no—
1465#41—22no—
1466#41—22no—
1467#41—22no—
1468#41—22no—
1469#41—22no—
1470#41—41no—
1471#41—41no—
1472#41—41no—
1473#41—41no—
1474#41—44no—
1475#41—44no—
1476#41—2922no—
1477#41—2922no—
1478#41—2922no—
1479#41—2922no—
1480#41—2921no—
1481#41—2921no—
1482#41—2921no—
1483#41—2921no—
1484#41—2921no—
1485#41—2921no—
1486#41—2921no—
1487#41—2921no—
1488#41—2924no—
1489#41—2921no—
1490#41—2921no—
1491#41—2924no—
1492#41—2921no—
1493#41—2921no—
1494#41—1462no—
1495#41—1462no—
1496C2×Q8—21no—
1497C2×Q8—41no—
1498C2×Q8—41no—
1499C2×Q8—2922no—
1500C2×Q8—2921no—
1501C2×Q8—2921no—
1502C2×Q8—731no—
1503C2×Q8—731no—
1504C2×Q8—731no—
1505C2×Q8—731no—
1506C2×Q8—731no—
1507C2×Q8—1461no—
1508C2×Q8C23×D7311yescharacteristic
1509C2×Q8C23×D7311yescharacteristic
1510C2×Q8C23×D7311yescharacteristic
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—41no—
1520C2×D4—41no—
1521C2×D4—44no—
1522C2×D4—2922no—
1523C2×D4—2924no—
1524C2×D4—2921no—
1525C2×D4—2921no—
1526C2×D4—2922no—
1527C2×D4—2922no—
1528C2×D4—731no—
1529C2×D4—731no—
1530C2×D4—731no—
1531C2×D4—731no—
1532C2×D4—731no—
1533C2×D4—731no—
1534C2×D4—731no—
1535C2×D4—731no—
1536C2×D4—731no—
1537C2×D4—731no—
1538C2×D4—731no—
1539C2×D4—731no—
1540C2×D4—731no—
1541C2×D4—1461no—
1542C2×D4—1461no—
1543C2×D4—1461no—
1544C2×D4—1461no—
1545C2×D4—1461no—
1546C2×D4—1461no—
1547C2×D4—1461no—
1548C2×D4—1461no—
1549C2×D4—1461no—
1550C2×D4—1461no—
1551C2×D4—1461no—
1552C2×D4—1461no—
1553C2×D4—1461no—
1554C2×D4—1461no—
1555C2×D4—1461no—
1556C2×D4—1461no—
1557C2×D4—1461no—
1558C2×D4—1461no—
1559C2×D4C23×D7311yescharacteristic
1560C2×D4C23×D7311yescharacteristic
1561C2×D4C23×D7311yescharacteristic
1562C22×C4—22no—
1563C22×C4—22no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—21no—
1567C22×C4—21no—
1568C22×C4—21no—
1569C22×C4—21no—
1570C22×C4—44no—
1571C22×C4—2924no—
1572C22×C4—731no—
1573C22×C4—731no—
1574C22×C4—731no—
1575C22×C4—731no—
1576C22×C4—731no—
1577C22×C4—731no—
1578C22×C4—731no—
1579C22×C4—731no—
1580C22×C4—731no—
1581C22×C4—731no—
1582C22×C4—1461no—
1583C22×C4—1461no—
1584C22×C4—1461no—
1585C22×C4—1461no—
1586C22×C4—1461no—
1587C22×C4—1461no—
1588C22×C4—1461no—
1589C22×C4—1461no—
1590C22×C4—1462no—
1591C22×C4—1462no—
1592C22×C4—1462no—
1593C22×C4—1462no—
1594C22×C4D4×D7311yescharacteristic
1595C22×C4D4×D7311yescharacteristic
1596C22×C4D4×D7311yescharacteristic
1597C22×C4C23×D7311yescharacteristic
1598C22×C4C23×D7311yescharacteristic
1599C22×C4C23×D7311yescharacteristic
1600Q16—41no—
1601Q16—41no—
1602Q16—2921no—
1603Q16—2921no—
1604SD16—41no—
1605SD16—41no—
1606SD16—41no—
1607SD16—41no—
1608SD16—2921no—
1609SD16—2921no—
1610SD16—2921no—
1611SD16—2921no—
1612D8—41no—
1613D8—41no—
1614D8—2921no—
1615D8—2921no—
1616M16—2921no—
1617M16—2921no—
1618M16—2921no—
1619M16—2921no—
1620C2×C8—22no—
1621C2×C8—22no—
1622C2×C8—2921no—
1623C2×C8—2921no—
1624C2×C8—2921no—
1625C2×C8—2921no—
1626C2×C8—731no—
1627C2×C8—731no—
1628C2×C8—731no—
1629C2×C8—731no—
1630C2×C8—1462no—
1631C2×C8—1462no—
1632C2×C8C23×D7311yescharacteristic
1633C2×C8C23×D7311yescharacteristic
1634C2×C8C23×D7311yescharacteristic
1635C2×C8C23×D7311yescharacteristic
1636C4⋊C4—21no—
1637C4⋊C4—21no—
1638C4⋊C4—731no—
1639C4⋊C4—731no—
1640C4⋊C4—731no—
1641C4⋊C4—731no—
1642C4⋊C4—731no—
1643C4⋊C4—731no—
1644C4⋊C4—1461no—
1645C4⋊C4—1461no—
1646C4⋊C4—1461no—
1647C4⋊C4—1461no—
1648C4⋊C4—1461no—
1649C4⋊C4—1461no—
1650C4⋊C4—1461no—
1651C4⋊C4—1461no—
1652C4⋊C4—1461no—
1653C4⋊C4—1461no—
1654C4⋊C4—1461no—
1655C4⋊C4—1461no—
1656C4⋊C4—1461no—
1657C4⋊C4—1461no—
1658C4⋊C4—1461no—
1659C4⋊C4—1461no—
1660C4⋊C4—1461no—
1661C4⋊C4—1461no—
1662C4⋊C4C23×D7311yescharacteristic
1663C4⋊C4C23×D7311yescharacteristic
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4—1461no—
1672C22⋊C4—1461no—
1673C22⋊C4—1461no—
1674C22⋊C4—1461no—
1675C22⋊C4—1461no—
1676C22⋊C4—1461no—
1677C22⋊C4—1461no—
1678C22⋊C4—1461no—
1679C22⋊C4—1461no—
1680C22⋊C4—1461no—
1681C22⋊C4—1461no—
1682C22⋊C4—1461no—
1683C22⋊C4—1461no—
1684C22⋊C4—1461no—
1685C22⋊C4—1461no—
1686C22⋊C4—1461no—
1687C22⋊C4—1461no—
1688C22⋊C4—1461no—
1689C22⋊C4—1461no—
1690C22⋊C4—1461no—
1691C22⋊C4—1461no—
1692C22⋊C4—1461no—
1693C22⋊C4—1461no—
1694C22⋊C4—1461no—
1695C22⋊C4—1461no—
1696C22⋊C4—1461no—
1697C22⋊C4—1461no—
1698C22⋊C4—1461no—
1699C22⋊C4—1461no—
1700C22⋊C4—1461no—
1701C22⋊C4—1461no—
1702C22⋊C4—1461no—
1703C22⋊C4—1461no—
1704C42—21no—
1705C42—1461no—
1706C42—1461no—
1707C42—1461no—
1708C42—1461no—
1709C42—1461no—
1710C42—1461no—
1711C42—1461no—
1712C23—22no—
1713C23—21no—
1714C23—21no—
1715C23—21no—
1716C23—41no—
1717C23—41no—
1718C23—42no—
1719C23—81no—
1720C23—81no—
1721C23—2921no—
1722C23—2921no—
1723C23—2921no—
1724C23—2921no—
1725C23—2922no—
1726C23—5841no—
1727C23—5841no—
1728C23—731no—
1729C23—731no—
1730C23—731no—
1731C23—731no—
1732C23—1461no—
1733C23—1462no—
1734C23—1462no—
1735C23C2×D4×D7311yescharacteristic
1736C23C2×D4×D7311yescharacteristic
1737C23C2×D4×D7311yescharacteristic
1738Q8—21no—
1739Q8—21no—
1740Q8—21no—
1741Q8—21no—
1742Q8—21no—
1743Q8—21no—
1744Q8—42no—
1745Q8—2921no—
1746Q8—2921no—
1747Q8—2921no—
1748Q8—2921no—
1749Q8—2922no—
1750Q8—1461no—
1751Q8—1461no—
1752D4—21no—
1753D4—21no—
1754D4—21no—
1755D4—21no—
1756D4—21no—
1757D4—21no—
1758D4—42no—
1759D4—42no—
1760D4—42no—
1761D4—42no—
1762D4—42no—
1763D4—42no—
1764D4—81no—
1765D4—81no—
1766D4—2921no—
1767D4—2921no—
1768D4—2921no—
1769D4—2921no—
1770D4—2922no—
1771D4—2922no—
1772D4—2922no—
1773D4—2921no—
1774D4—2921no—
1775D4—2921no—
1776D4—2921no—
1777D4—2921no—
1778D4—2921no—
1779D4—2921no—
1780D4—2921no—
1781D4—2922no—
1782D4—5841no—
1783D4—5841no—
1784D4—5841no—
1785D4—5841no—
1786D4—5841no—
1787D4—5841no—
1788D4—5841no—
1789D4—5841no—
1790D4—5841no—
1791D4—5841no—
1792D4—5841no—
1793D4—5841no—
1794D4—5841no—
1795D4—5841no—
1796D4—1461no—
1797D4—1461no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—42no—
1811C2×C4—42no—
1812C2×C4—42no—
1813C2×C4—42no—
1814C2×C4—42no—
1815C2×C4—42no—
1816C2×C4—2922no—
1817C2×C4—2922no—
1818C2×C4—2922no—
1819C2×C4—2922no—
1820C2×C4—5841no—
1821C2×C4—5841no—
1822C2×C4—5841no—
1823C2×C4—5841no—
1824C2×C4—731no—
1825C2×C4—731no—
1826C2×C4—731no—
1827C2×C4—731no—
1828C2×C4—1461no—
1829C2×C4—1461no—
1830C2×C4—1461no—
1831C2×C4—1461no—
1832C2×C4—1461no—
1833C2×C4—1461no—
1834C2×C4—1461no—
1835C2×C4—1462no—
1836C2×C4—1462no—
1837C2×C4—1462no—
1838C2×C4—1462no—
1839C2×C4—1462no—
1840C2×C4—1462no—
1841C2×C4—1461no—
1842C2×C4—1461no—
1843C2×C4—1461no—
1844C2×C4—1461no—
1845C2×C4—1461no—
1846C2×C4—1461no—
1847C2×C4—1461no—
1848C2×C4—1461no—
1849C2×C4C2×D4×D7311yescharacteristic
1850C2×C4C2×D4×D7311yescharacteristic
1851C2×C4C2×D4×D7311yescharacteristic
1852C2×C4#1455663612yes—
1853C2×C4#1455663612yes—
1854C2×C4C24×D7311yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—1461no—
1860C8—1461no—
1861C8—1461no—
1862C8—1461no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—82no—
1881C22—84no—
1882C22—2924no—
1883C22—2921no—
1884C22—2921no—
1885C22—2921no—
1886C22—5842no—
1887C22—5844no—
1888C22—1461no—
1889C22—1461no—
1890C22—1461no—
1891C22—1461no—
1892C22—1461no—
1893C22—1461no—
1894C22—1461no—
1895C22—1461no—
1896C22—1461no—
1897C22—1461no—
1898C22—1461no—
1899C22—1461no—
1900C22#1798914712yes—
1901C22C22×D4×D7311yescharacteristic
1902C4—21no—
1903C4—21no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—41no—
1908C4—41no—
1909C4—2921no—
1910C4—2921no—
1911C4—2921no—
1912C4—2921no—
1913C4—2921no—
1914C4—2921no—
1915C4—2921no—
1916C4—1461no—
1917C4—1461no—
1918C4—1461no—
1919C4—1461no—
1920C4#1798914712yes—
1921C4C2×#1455663611yescharacteristic
1922C4C2×#1455663611yescharacteristic
1923C2—22no—
1924C2—41no—
1925C2—41no—
1926C2—81no—
1927C2—81no—
1928C2—81no—
1929C2—2921no—
1930C2—2921no—
1931C2—2921no—
1932C2—2921no—
1933C2—5841no—
1934C2C2×#1798914711yescharacteristic
1935C2#2262470011yescharacteristic
1936C2#2262470411yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3002C2
socleC22×C73C23×D4
hypercenter#3002D73
hypocenterC73#60749
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #3002

Complements

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

NH ≅ G/Ntype
1. #22623261C2semidirect
2. #22623260C2semidirect
3. #22620840C2semidirect
4. #22620839C2semidirect
5. #22620832C2semidirect
6. #22620830C2semidirect
7. #22620824C2semidirect
8. #22620817C2semidirect
9. #22620812C2semidirect
10. #22620810C2semidirect
11. #22620809C2semidirect
12. #22620801C2semidirect
13. #22620800C2semidirect
14. #22620794C2semidirect
15. #22620787C2semidirect
16. #22620782C2semidirect
17. #22620780C2semidirect
18. #22620779C2semidirect
19. #22619846C2semidirect
20. #22619842C2semidirect
21. #22619842C2semidirect
22. #22619840C2semidirect
23. #22619539C2semidirect
24. #22619536C2semidirect
25. #22619511C2semidirect
26. #22619508C2semidirect
27. #22619149C2semidirect
28. #22619145C2semidirect
29. #22619145C2semidirect
30. C2×#17988552C2semidirect
31. C73×#3002C2semidirect
33. C2×#41×D73C22semidirect
36. C22×#11924011C22semidirect
37. C22×C8×D73C22semidirect
39. #17989167C22semidirect
41. #17989166C22semidirect
44. #17989165C22semidirect
45. #17989165C22semidirect
47. #17989161C22semidirect
49. #17989160C22semidirect
53. #17989154C22semidirect
55. #17989153C22semidirect
66. #17989099C22semidirect
74. #17989094C22semidirect
75. #17989094C22semidirect
76. #17989094C22semidirect
77. C2×#14556550C22semidirect
78. #117×D73C22semidirect
79. #17988929C22semidirect
80. #17988929C22semidirect
81. #17988927C22semidirect
82. #17988927C22semidirect
83. #17988926C22semidirect
84. #17988926C22semidirect
85. #17988925C22semidirect
86. #17988925C22semidirect
87. #17988923C22semidirect
88. #17988921C22semidirect
89. #17988921C22semidirect
90. #17988920C22semidirect
91. #17988918C22semidirect
92. #17988916C22semidirect
93. #17988916C22semidirect
94. #17988915C22semidirect
95. #17988912C22semidirect
96. #17988912C22semidirect
97. #17988910C22semidirect
98. #17988910C22semidirect
99. #17988909C22semidirect
100. #17988909C22semidirect
101. #17988908C22semidirect
102. #17988908C22semidirect
103. #17988906C22semidirect
104. #17988904C22semidirect
105. #17988904C22semidirect
106. #17988903C22semidirect
107. #17988901C22semidirect
108. #17988899C22semidirect
109. #17988899C22semidirect
110. #17988898C22semidirect
111. #17988844C22semidirect
112. #17988844C22semidirect
113. #17988842C22semidirect
114. #17988842C22semidirect
115. #17988839C22semidirect
116. #17988839C22semidirect
117. #17988837C22semidirect
118. #17988837C22semidirect
119. #17988836C22semidirect
120. #17988836C22semidirect
121. #17988832C22semidirect
122. #17988832C22semidirect
123. #17988830C22semidirect
124. #17988830C22semidirect
125. #17988830C22semidirect
126. #17988830C22semidirect
127. #17988827C22semidirect
128. #17988827C22semidirect
129. #17988825C22semidirect
130. #17988825C22semidirect
131. #17988822C22semidirect
132. #17988822C22semidirect
133. #17988820C22semidirect
134. #17988820C22semidirect
135. #17988819C22semidirect
136. #17988819C22semidirect
137. #17988815C22semidirect
138. #17988815C22semidirect
139. #17988813C22semidirect
140. #17988813C22semidirect
141. #17988813C22semidirect
142. #17988813C22semidirect
143. #17988749C22semidirect
144. #17988749C22semidirect
145. #17988748C22semidirect
146. #17988748C22semidirect
147. #17988746C22semidirect
148. #17988746C22semidirect
149. #17988743C22semidirect
150. #17988741C22semidirect
151. #17988741C22semidirect
152. #17988738C22semidirect
153. #17988736C22semidirect
154. #17988736C22semidirect
155. #17988732C22semidirect
156. #17988732C22semidirect
157. #17988731C22semidirect
158. #17988731C22semidirect
159. #17988729C22semidirect
160. #17988729C22semidirect
161. #17988726C22semidirect
162. #17988724C22semidirect
163. #17988724C22semidirect
164. #17988721C22semidirect
165. #17988719C22semidirect
166. #17988719C22semidirect
167. #17988625C22semidirect
168. #17988625C22semidirect
169. #17988623C22semidirect
170. #17988623C22semidirect
171. #17988584C22semidirect
172. #17988584C22semidirect
173. #17988583C22semidirect
174. #17988583C22semidirect
175. #17988583C22semidirect
176. #17988583C22semidirect
179. #17988552C22semidirect
180. #17988552C22semidirect
181. #17988552C22semidirect
182. #17988552C22semidirect
183. #17988552C22semidirect
184. #17988552C22semidirect
185. C2×C22⋊#10596831C22semidirect
186. C2×#14556503C22semidirect
187. C2×#14556503C22semidirect
188. C22×#41×C73C22semidirect
192. #452×C73C22semidirect
193. #452×C73C22semidirect
194. #451×C73C22semidirect
195. #450×C73C22semidirect
196. #449×C73C22semidirect
197. #449×C73C22semidirect
198. #448×C73C22semidirect
199. #447×C73C22semidirect
200. #416×C73C22semidirect
201. #416×C73C22semidirect
202. C2×C22⋊C8×C73C22semidirect
998. #3002D73semidirect
1000. C73#60749semidirect
1003. C22×#41C2×D73semidirect
1122. #452C2×D73semidirect
1123. #452C2×D73semidirect
1127. #451C2×D73semidirect
1131. #450C2×D73semidirect
1138. #449C2×D73semidirect
1139. #449C2×D73semidirect
1143. #448C2×D73semidirect
1147. #447C2×D73semidirect
1158. #416C2×D73semidirect
1159. #416C2×D73semidirect
1171. C2×C22⋊C8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226232612
#226232602
#226208402
#226208392
#226208322
#226208302
#226208242
#226208172
#226208122
#226208102
#226208092
#226208012
#226208002
#226207942
#226207872
#226207822
#226207802
#226207792
#226198462
#226198422
#226198402
#226195392
#226195362
#226195112
#226195082
#226191492
#226191452
C2×#179885522
C73×#30022
#6074973