Finite Group Databasebeta

← #33978960

Subgroups — #33978960

Order 18688.

1848 conjugacy classes of subgroups.

The subgroup lattice has 1746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623886C211yesmaximal, characteristic
2#22623509C211yesmaximal, characteristic, complemented
3#22622981C211yesmaximal, characteristic, complemented
4#22622959C211yesmaximal, characteristic, complemented
5#22622742C211yesmaximal, characteristic, complemented
6#22622668C211yesmaximal, characteristic, complemented
7#22622046C211yesmaximal, characteristic, complemented
8#22622041C211yesmaximal, characteristic, complemented
9#22622016C211yesmaximal, characteristic, complemented
10#22622011C211yesmaximal, characteristic, complemented
11#22621800C211yesmaximal, characteristic, complemented
12#22621748C211yesmaximal, characteristic, complemented
13#22621676C211yesmaximal, characteristic, complemented
14#22621625C211yesmaximal, characteristic, complemented
15#22621505C211yesmaximal, characteristic, complemented
16#22621500C211yesmaximal, characteristic, complemented
17#22621445C211yesmaximal, characteristic, complemented
18#22621440C211yesmaximal, characteristic, complemented
19#22621301C211yesmaximal, characteristic, complemented
20#22621265C211yesmaximal, characteristic, complemented
21#22621262C211yesmaximal, characteristic, complemented
22#22620932C211yesmaximal, characteristic, complemented
23#22620886C211yesmaximal, characteristic, complemented
24#22620104C211yesmaximal, characteristic, complemented
25#22620101C211yesmaximal, characteristic, complemented
26#22620010C211yesmaximal, characteristic, complemented
27#22619401C211yesmaximal, characteristic, complemented
28C2×#17988806C211yesmaximal, characteristic, complemented
29#464×D73C211yesmaximal, characteristic, complemented
30#22619058C211yesmaximal, characteristic, complemented
31C73×#3215C211yesmaximal, characteristic, complemented
32C2×#14556623C2211yescharacteristic, complemented
33C2×#14556620C2211yescharacteristic, complemented
34C22×#11924018C2211yescharacteristic, complemented
35C2×Q16×D73C2211yescharacteristic, complemented
36C22×#11924016C2211yescharacteristic
37C2×SD16×D73C2211yescharacteristic
38#17989319C2211yescharacteristic
39#17989317C2211yescharacteristic, complemented
40#17989314—21no—
41#17989312C2211yescharacteristic, complemented
42#17989306C2211yescharacteristic
43#17989299—21no—
44#17989298C2211yescharacteristic, complemented
45#17989295C2211yescharacteristic
46#17989295C2211yescharacteristic, complemented
47#17989293—21no—
48#17989291—21no—
49#17989291—21no—
50#17989267—21no—
51#17989263—21no—
52#17989252C2211yescharacteristic, complemented
53Q8×C22⋊D73C2211yescharacteristic
54#17989250C2211yescharacteristic
55#17989250C2211yescharacteristic, complemented
56#17989248C2211yescharacteristic
57#17989245C2211yescharacteristic
58#17989231C2211yescharacteristic
59#17989230C2211yescharacteristic
60#17989227—21no—
61D4×C22⋊D73C2211yescharacteristic
62#17989201—21no—
63#17989175—21no—
64#17989171—21no—
65#17989141—21no—
66#17989141—21no—
67#17989141C2211yescharacteristic, complemented
68#17989141C2211yescharacteristic, complemented
69#17989140—21no—
70#17989136C2211yescharacteristic
71#17989121C2211yescharacteristic
72#17989116C2211yescharacteristic
73#17989116C2211yescharacteristic
74#124×D73C2211yescharacteristic
75#17989060—21no—
76C4×#11924028C2211yescharacteristic
77#17989055—21no—
78C2×C4×Dic146C2211yescharacteristic, complemented
79C4×Q8×D73C2211yescharacteristic, complemented
80C4×Q8×D73C2211yescharacteristic, complemented
81#17988980C2211yescharacteristic, complemented
82#17988978C2211yescharacteristic
83#17988965C2211yescharacteristic, complemented
84#17988958C2211yescharacteristic
85#17988948C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic
87#17988936C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic
89#17988923C2211yescharacteristic, complemented
90#17988921C2211yescharacteristic, complemented
91#17988916C2211yescharacteristic, complemented
92#17988906C2211yescharacteristic
93#17988904C2211yescharacteristic
94#17988899C2211yescharacteristic
95#17988895C2211yescharacteristic, complemented
96#17988895C2211yescharacteristic, complemented
97#17988894C2211yescharacteristic, complemented
98#17988894C2211yescharacteristic, complemented
99#17988880C2211yescharacteristic, complemented
100#17988875C2211yescharacteristic
101#17988870C2211yescharacteristic, complemented
102#17988869C2211yescharacteristic, complemented
103#17988865C2211yescharacteristic, complemented
104#17988864C2211yescharacteristic, complemented
105#17988844C2211yescharacteristic, complemented
106#17988842C2211yescharacteristic, complemented
107#17988832C2211yescharacteristic
108#17988830C2211yescharacteristic
109#17988827C2211yescharacteristic, complemented
110#17988826C2211yescharacteristic, complemented
111#17988826C2211yescharacteristic, complemented
112#17988825C2211yescharacteristic, complemented
113#17988818C2211yescharacteristic
114#17988818C2211yescharacteristic
115#17988815C2211yescharacteristic
116#17988813C2211yescharacteristic
117#17988812C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988810C2211yescharacteristic, complemented
120#17988810C2211yescharacteristic, complemented
121#17988809C2211yescharacteristic, complemented
122#17988809C2211yescharacteristic, complemented
123#17988808C2211yescharacteristic
124#17988807C2211yescharacteristic
125#17988806C2211yescharacteristic
126#17988806C2211yescharacteristic
127#17988806C2211yescharacteristic
128#17988806C2211yescharacteristic
129#17988806C2211yescharacteristic, complemented
130#17988806C2211yescharacteristic, complemented
131#17988806C2211yescharacteristic, complemented
132#17988806C2211yescharacteristic, complemented
133#17988796C2211yescharacteristic, complemented
134#17988795C2211yescharacteristic, complemented
135#17988795C2211yescharacteristic, complemented
136#17988795C2211yescharacteristic, complemented
137#17988794C2211yescharacteristic, complemented
138#17988790C2211yescharacteristic
139#17988790C2211yescharacteristic, complemented
140#17988789C2211yescharacteristic, complemented
141#17988786C2211yescharacteristic
142#17988785C2211yescharacteristic
143#17988752C2211yescharacteristic, complemented
144#17988750C2211yescharacteristic, complemented
145#17988748C2211yescharacteristic, complemented
146#17988746C2211yescharacteristic, complemented
147#17988745C2211yescharacteristic, complemented
148#17988744C2211yescharacteristic, complemented
149#17988741C2211yescharacteristic, complemented
150#17988741C2211yescharacteristic, complemented
151#17988741C2211yescharacteristic, complemented
152#17988739C2211yescharacteristic
153#17988736C2211yescharacteristic
154#17988728C2211yescharacteristic
155#17988724C2211yescharacteristic
156#17988724C2211yescharacteristic
157#17988715C2211yescharacteristic, complemented
158#17988715C2211yescharacteristic, complemented
159#17988695C2211yescharacteristic, complemented
160#17988695C2211yescharacteristic, complemented
161#17988694C2211yescharacteristic, complemented
162#17988691C2211yescharacteristic, complemented
163#17988689C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic, complemented
165#17988688C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic, complemented
167Q16×Dic73C2211yescharacteristic, complemented
168#17988679C2211yescharacteristic, complemented
169#17988678C2211yescharacteristic
170SD16×Dic73C2211yescharacteristic
171#17988660C2211yescharacteristic, complemented
172#17988660C2211yescharacteristic, complemented
173#17988655C2211yescharacteristic, complemented
174#17988655C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic
176#17988650C2211yescharacteristic
177#17988643C2211yescharacteristic, complemented
178#17988639C2211yescharacteristic, complemented
179#17988609C2211yescharacteristic, complemented
180C2×C4⋊#10596831C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988587C2211yescharacteristic, complemented
183#17988585C2211yescharacteristic, complemented
184C2×#14556515C2211yescharacteristic, complemented
185#103×D73C2211yescharacteristic, complemented
186C2×#14556512C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#533×C73C2211yescharacteristic, complemented
189C2×#124×C73C2211yescharacteristic
190#497×C73C2211yescharacteristic
191#497×C73C2211yescharacteristic, complemented
192#489×C73C2211yescharacteristic
193#489×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic
195#464×C73C2211yescharacteristic
196#464×C73C2211yescharacteristic, complemented
197#464×C73C2211yescharacteristic, complemented
198#451×C73C2211yescharacteristic, complemented
199#451×C73C2211yescharacteristic, complemented
200#450×C73C2211yescharacteristic
201#450×C73C2211yescharacteristic
202#432×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028D411yescharacteristic
205C2×#11924027C2311yescharacteristic
206C22×Dic146C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210C22×C22⋊D73—21no—
211C2×D4×D73C2311yescharacteristic
212#14556623—42no—
213#14556620—42no—
214C2×Dic292C2311yescharacteristic
215C2×Dic292C2311yescharacteristic
216C2×#11924018—42no—
217C2×#11924018C2311yescharacteristic
218C2×#11924018C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924018C2311yescharacteristic
223Q16×D73—42no—
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924016—42no—
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924016C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×#11924015C2311yescharacteristic
233SD16×D73—42no—
234C2×#11924011C2311yescharacteristic
235C2×#11924011C2311yescharacteristic
236C22×#10596831C2311yescharacteristic
237C22×#10596831C2311yescharacteristic
238C2×C8×D73C2311yescharacteristic
239C2×C8×D73C2311yescharacteristic
240#14556590—21no—
241#14556590—21no—
242#14556590—21no—
243#14556590—21no—
244#14556590C2311yescharacteristic
245#14556590C2311yescharacteristic
246#14556589—21no—
247#14556589—21no—
248#14556589—21no—
249#14556589C2311yescharacteristic
250#14556589C2311yescharacteristic
251#14556589C2311yescharacteristic
252#14556587C2311yescharacteristic
253#14556585—21no—
254#14556584—21no—
255#14556584—21no—
256#14556584—21no—
257#14556584—21no—
258#14556583C2311yescharacteristic
259#14556582—21no—
260#14556582—21no—
261#14556581—21no—
262#14556581—21no—
263#14556581—21no—
264#14556581—21no—
265#14556581—21no—
266#14556581—21no—
267#14556580—21no—
268#14556580C2311yescharacteristic
269#14556579C2311yescharacteristic
270#14556578C2311yescharacteristic
271#14556577—21no—
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556575—21no—
276#14556574—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556572—21no—
282#14556571—21no—
283#14556571—21no—
284#14556571C2311yescharacteristic
285#14556571C2311yescharacteristic
286#14556570—21no—
287#14556570C2311yescharacteristic
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556567—21no—
301#14556567—21no—
302#14556567—21no—
303#14556567—21no—
304#14556567C2311yescharacteristic
305#14556567C2311yescharacteristic
306#14556567C2311yescharacteristic
307#14556567C2311yescharacteristic
308#14556565—21no—
309#14556565C2311yescharacteristic
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556563—21no—
315#14556563—21no—
316#14556562C2311yescharacteristic
317#14556562C2311yescharacteristic
318#14556561—21no—
319#14556560—21no—
320#14556560—21no—
321#14556559—21no—
322Q8×Dic73C2311yescharacteristic
323Q8×Dic73C2311yescharacteristic
324Q8×Dic73C2311yescharacteristic
325Q8×Dic73C2311yescharacteristic
326C4×Dic146—21no—
327C4×Dic146—21no—
328C4×Dic146—21no—
329C4×Dic146—21no—
330C4×Dic146—21no—
331C4×Dic146—21no—
332C4×Dic146D411yescharacteristic
333C4×Dic146C2311yescharacteristic
334C4×Dic146C2311yescharacteristic
335C4×Dic146C2311yescharacteristic
336C4×Dic146C2311yescharacteristic
337C4×Dic146C2311yescharacteristic
338C4×Dic146C2311yescharacteristic
339#14556556—21no—
340#14556556—21no—
341#14556556—21no—
342#14556556—21no—
343#14556556C2311yescharacteristic
344#14556556C2311yescharacteristic
345C4×D292D411yescharacteristic
346C4×D292C2311yescharacteristic
347C4×D292C2311yescharacteristic
348D4×Dic73C2311yescharacteristic
349D4×Dic73C2311yescharacteristic
350#14556553—21no—
351#14556553—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73D411yescharacteristic
356C4×C22⋊D73D411yescharacteristic
357C4×C22⋊D73C2311yescharacteristic
358C4×C22⋊D73C2311yescharacteristic
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556551—21no—
368#14556551—21no—
369#14556550D411yescharacteristic
370#14556548—21no—
371#14556548—21no—
372#14556548—21no—
373#14556548D411yescharacteristic
374#14556548D411yescharacteristic
375#14556547—21no—
376#14556547—21no—
377#14556547—21no—
378C2×C4⋊Dic73C2311yescharacteristic
379C2×#11924007—21no—
380C4⋊C4×D73—21no—
381C4⋊C4×D73—21no—
382C4⋊C4×D73C2311yescharacteristic
383C4⋊C4×D73C2311yescharacteristic
384C2×C22⋊Dic73—21no—
385C22⋊C4×D73—21no—
386C22⋊C4×D73—21no—
387C22⋊C4×D73—21no—
388C2×C4×Dic73—21no—
389C42×D73—21no—
390C42×D73—21no—
391C42×D73C2311yescharacteristic
392C42×D73C2311yescharacteristic
393#14556525C2311yescharacteristic
394#14556525C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556523C2311yescharacteristic
398#14556523C2311yescharacteristic
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#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556515C2311yescharacteristic
420#14556515C2311yescharacteristic
421#14556515C2311yescharacteristic
422#14556515C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C22×Q8×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×Q16×C73C2311yescharacteristic
445C2×Q16×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C4⋊Q8×C73C2311yescharacteristic
452C4⋊Q8×C73C2311yescharacteristic
453#125×C73—21no—
454#124×C73—21no—
455#124×C73—21no—
456#124×C73C2311yescharacteristic
457#124×C73C2311yescharacteristic
458#124×C73C2311yescharacteristic
459#124×C73C2311yescharacteristic
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73C2311yescharacteristic
462C22⋊Q8×C73C2311yescharacteristic
463C4×Q8×C73—21no—
464C4×Q8×C73C2311yescharacteristic
465C4×Q8×C73C2311yescharacteristic
466#117×C73—21no—
467C2×C22⋊C4×C73—21no—
468C2×C22⋊C4×C73—21no—
469C2×C42×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485#11924029—41no—
486#11924029—41no—
487#11924028—24no—
488#11924027—41no—
489#11924027—41no—
490C2×Dic146—22no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—41no—
498C2×Dic146C2×D411yescharacteristic
499C2×Dic146C2411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×Dic146C2411yescharacteristic
502Q8×D73—22no—
503Q8×D73—22no—
504Q8×D73—41no—
505Q8×D73—41no—
506Q8×D73—41no—
507Q8×D73—41no—
508C2×D292—21no—
509C2×D292C2×D411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—44no—
519C2×C22⋊D73C2×D411yescharacteristic
520C2×C22⋊D73C2×D411yescharacteristic
521D4×D73—41no—
522D4×D73—41no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73C2×D411yescharacteristic
536C2×C4×D73C2×D411yescharacteristic
537C2×C4×D73C2×D411yescharacteristic
538C2×C4×D73C2×D411yescharacteristic
539C2×C4×D73C2411yescharacteristic
540C2×C4×D73C2411yescharacteristic
541Dic292—22no—
542Dic292—41no—
543#11924018—22no—
544#11924018—22no—
545#11924018—41no—
546#11924018—41no—
547#11924018—41no—
548#11924018—41no—
549#11924017—22no—
550#11924017—41no—
551#11924016—22no—
552#11924016—22no—
553#11924016—41no—
554#11924016—41no—
555#11924015—41no—
556#11924015—41no—
557#11924011—41no—
558#11924011—41no—
559C2×#10596831—41no—
560C2×#10596831—41no—
561C2×#10596831C2411yescharacteristic
562C2×#10596831C2411yescharacteristic
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C8×D73—41no—
566C8×D73—41no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73C2×D411yescharacteristic
575C4⋊Dic73C2×D411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
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#11924007—21no—
603#11924007—21no—
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607#11924007C2×D411yescharacteristic
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73C2×D411yescharacteristic
616C22⋊Dic73C2×D411yescharacteristic
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
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#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2411yescharacteristic
649C4×Dic73C2411yescharacteristic
650C24×C73—21no—
651C2×Q8×C73—21no—
652C2×Q8×C73—21no—
653C2×Q8×C73—41no—
654C2×Q8×C73—41no—
655C2×Q8×C73C2411yescharacteristic
656C2×Q8×C73C2411yescharacteristic
657C2×Q8×C73C2411yescharacteristic
658C2×Q8×C73C2411yescharacteristic
659C2×D4×C73—21no—
660C2×D4×C73—41no—
661C2×D4×C73—41no—
662C2×D4×C73C2411yescharacteristic
663C2×D4×C73C2411yescharacteristic
664C22×C4×C73—21no—
665C22×C4×C73C2×D411yescharacteristic
666C22×C4×C73C2×D411yescharacteristic
667C22×C4×C73C2411yescharacteristic
668Q16×C73—41no—
669Q16×C73—41no—
670Q16×C73—41no—
671Q16×C73—41no—
672SD16×C73—41no—
673SD16×C73—41no—
674SD16×C73—41no—
675SD16×C73—41no—
676C2×C8×C73C2411yescharacteristic
677C2×C8×C73C2411yescharacteristic
678C2×C8×C73C2411yescharacteristic
679C2×C8×C73C2411yescharacteristic
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73C2411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C22⋊C4×C73—21no—
690C22⋊C4×C73—21no—
691C22⋊C4×C73—21no—
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—
699C42×C73—21no—
700C42×C73—21no—
701C42×C73C2×D411yescharacteristic
702C42×C73C2×D411yescharacteristic
703C42×C73C2411yescharacteristic
704C42×C73C2411yescharacteristic
705C23×C73—21no—
706C23×C73—21no—
707C23×C73—42no—
708C23×C73—81no—
709C23×C73—81no—
710C23×C73C22×D411yescharacteristic
711C22×D73—21no—
712C22×D73—42no—
713C22×D73—81no—
714C22×D73—81no—
715C22×D73C22×D411yescharacteristic
716C22×D73C22×D411yescharacteristic
717Q8×C73—21no—
718Q8×C73—21no—
719Q8×C73—21no—
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—81no—
726Q8×C73—81no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—81no—
732C2×C4×C73—22no—
733C2×C4×C73—21no—
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—81no—
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C2511yescharacteristic
749C22⋊D73—22no—
750C22⋊D73—42no—
751C22⋊D73—42no—
752C22⋊D73—42no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C22⋊D73#13714yescomplemented
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—42no—
766C2×Dic73—42no—
767C2×Dic73—81no—
768C2×Dic73—81no—
769C2×Dic73—81no—
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776D292—22no—
777D292—21no—
778D292—21no—
779D292—81no—
780C4×D73—22no—
781C4×D73—21no—
782C4×D73—21no—
783C4×D73—21no—
784C4×D73—21no—
785C4×D73—22no—
786C4×D73—41no—
787C4×D73—41no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795Dic146—21no—
796Dic146—22no—
797Dic146—21no—
798Dic146—21no—
799Dic146—21no—
800Dic146—21no—
801Dic146—42no—
802Dic146—42no—
803Dic146—42no—
804Dic146—81no—
805Dic146—81no—
806Dic146—81no—
807Dic146H(5,𝔽2)12yes—
808C8×C73—21no—
809C8×C73—21no—
810C8×C73—21no—
811C8×C73—21no—
812#10596831—21no—
813#10596831—21no—
814#10596831—21no—
815#10596831—21no—
816C22×C73—21no—
817C22×C73—21no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—162no—
825C22×C73C2×#13712yes—
826C22×C73C23×D411yescharacteristic
827C2×D73—21no—
828C2×D73—21no—
829C2×D73—21no—
830C2×D73—21no—
831C2×D73—21no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—162no—
836C2×D73C2×#13712yes—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—21no—
841C4×C73—21no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73—41no—
846C4×C73—41no—
847C4×C73—41no—
848C4×C73C2×H(5,𝔽2)11yescharacteristic
849C4×C73#58511yescharacteristic
850Dic73—21no—
851Dic73—21no—
852Dic73—22no—
853Dic73—21no—
854Dic73—21no—
855Dic73—21no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860Dic73—41no—
861Dic73—41no—
862Dic73C2×#13712yes—
863#61991—731nomaximal, Sylow
864C2×C73—22no—
865C2×C73—81no—
866C2×C73—81no—
867C2×C73#348811yescharacteristic
868C2×C73C22×#13711yescharacteristic
869C2×C73#358411yescharacteristic
870D73—22no—
871D73—41no—
872D73—81no—
873#3514—731no—
874Q8×#41—731no—
875#3400—731no—
876#3398—731no—
877#3375—731no—
878#3369—731no—
879#3316—731no—
880#3316—731no—
881#3314—731no—
882#3314—731no—
883#3299—731no—
884#3295—731no—
885D4×Q16—731no—
886D4×SD16—731no—
887#3270—731no—
888#3270—731no—
889#3266—731no—
890#3266—731no—
891#3252—731no—
892#3248—731no—
893#3248—731no—
894#3215—731no—
895#3215D7311yescharacteristic, complemented
896#3210—731no—
897#3117—731no—
898#3117—731no—
899#3108—731no—
900#3037—731no—
901C2×#464—731no—
902C2×#464—731no—
903#2990—731no—
904C73#6199111yescharacteristic, complemented, Sylow
905C2×#137—731no—
906C2×#137—731no—
907C22×Q16—731no—
908C22×Q16—731no—
909C22×SD16—731no—
910C22×SD16—731no—
911#559—731no—
912Q82—731no—
913#557—731no—
914#557—1461no—
915#556—731no—
916#555—1461no—
917#554—731no—
918#554—731no—
919#554—731no—
920#554—1461no—
921#554—1461no—
922#554—1461no—
923#551—1461no—
924#551—1461no—
925D4×Q8—731no—
926D4×Q8—731no—
927D4×Q8—731no—
928D4×Q8—731no—
929#548—731no—
930#548—731no—
931#546—731no—
932#546—731no—
933#546—1461no—
934D42—731no—
935#542—1461no—
936#538—1461no—
937#538—1461no—
938#533—731no—
939#533—731no—
940#533—1461no—
941#533—1461no—
942#533—1461no—
943#533C2×D7311yescharacteristic, complemented
944#532—731no—
945#529—731no—
946#529—731no—
947#529—731no—
948C2×#124—731no—
949C2×#124C2×D7311yescharacteristic
950#518—1461no—
951C4×#41—731no—
952C4×#41—1461no—
953C2×C4×Q8—731no—
954C2×C4×Q8—731no—
955C2×C4×Q8—731no—
956#497—731no—
957#497—731no—
958#497C2×D7311yescharacteristic
959#497C2×D7311yescharacteristic, complemented
960#494—731no—
961#492—731no—
962#489—731no—
963#489—731no—
964#489C2×D7311yescharacteristic
965#489C2×D7311yescharacteristic, complemented
966#487—731no—
967#486—731no—
968#484—731no—
969#484—731no—
970#483—731no—
971#481—731no—
972#481—731no—
973#480—731no—
974#479—731no—
975#479—731no—
976#479—731no—
977#479—731no—
978#477—731no—
979#476—731no—
980#475—731no—
981#475—731no—
982#474—731no—
983#474—731no—
984#470—731no—
985#470—731no—
986#468—731no—
987#468—731no—
988#467—731no—
989#467—731no—
990#467—731no—
991#467—731no—
992#465—731no—
993#465—731no—
994#465—731no—
995#465—731no—
996#464—731no—
997#464—731no—
998#464—731no—
999#464—731no—
1000#464—731no—
1001#464—731no—
1002#464—731no—
1003#464—731no—
1004#464—731no—
1005#464—731no—
1006#464—731no—
1007#464—731no—
1008#464—731no—
1009#464—731no—
1010#464—731no—
1011#464—731no—
1012#464C2×D7311yescharacteristic
1013#464C2×D7311yescharacteristic
1014#464C2×D7311yescharacteristic, complemented
1015#464C2×D7311yescharacteristic, complemented
1016#462—731no—
1017#462—731no—
1018#462—731no—
1019#462—731no—
1020#462—731no—
1021#461—731no—
1022#461—731no—
1023#461—731no—
1024#460—731no—
1025#460—731no—
1026#452—731no—
1027#452—731no—
1028#452—731no—
1029#452—731no—
1030#451—731no—
1031#451—731no—
1032#451—731no—
1033#451—731no—
1034#451—731no—
1035#451C2×D7311yescharacteristic, complemented
1036#451C2×D7311yescharacteristic, complemented
1037#450—731no—
1038#450—731no—
1039#450C2×D7311yescharacteristic
1040#450C2×D7311yescharacteristic
1041#448—731no—
1042#448—731no—
1043#448—731no—
1044#446—731no—
1045#446—731no—
1046#441—731no—
1047#441—731no—
1048#441—731no—
1049#441—731no—
1050#440—731no—
1051#440—731no—
1052#440—731no—
1053#440—731no—
1054C4×Q16—731no—
1055C4×Q16—731no—
1056C4×SD16—731no—
1057C4×SD16—731no—
1058#435—731no—
1059#435—731no—
1060#435—731no—
1061#435—731no—
1062C8×D4—731no—
1063C8×D4—731no—
1064#432—731no—
1065#432C2×D7311yescharacteristic, complemented
1066#431—731no—
1067#423—731no—
1068C2×C4⋊C8—731no—
1069C2×C4⋊C8—731no—
1070#417—731no—
1071#417—731no—
1072C2×#103—731no—
1073C2×#103—731no—
1074C2×#102—731no—
1075C2×#102—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41—731no—
1079C22×Q8—731no—
1080C22×Q8—731no—
1081C22×Q8—731no—
1082C22×Q8—731no—
1083C22×Q8C22×D7311yescharacteristic
1084C22×D4—731no—
1085C22×D4—1461no—
1086C22×D4C22×D7311yescharacteristic
1087#137—2922no—
1088#137—2922no—
1089C2×Q16—2922no—
1090C2×Q16—2922no—
1091C2×Q16—731no—
1092C2×Q16—731no—
1093C2×Q16—731no—
1094C2×Q16—731no—
1095C2×Q16—731no—
1096C2×Q16—731no—
1097C2×Q16—731no—
1098C2×Q16—731no—
1099C2×Q16C22×D7311yescharacteristic
1100C2×Q16C22×D7311yescharacteristic
1101C2×Q16C22×D7311yescharacteristic
1102C2×Q16C22×D7311yescharacteristic
1103C2×SD16—2922no—
1104C2×SD16—2922no—
1105C2×SD16—731no—
1106C2×SD16—731no—
1107C2×SD16—731no—
1108C2×SD16—731no—
1109C2×SD16—731no—
1110C2×SD16—731no—
1111C2×SD16—731no—
1112C2×SD16—731no—
1113C2×SD16C22×D7311yescharacteristic
1114C2×SD16C22×D7311yescharacteristic
1115C2×SD16C22×D7311yescharacteristic
1116C2×SD16C22×D7311yescharacteristic
1117C2×M16—731no—
1118C2×M16—731no—
1119C22×C8—731no—
1120C22×C8—731no—
1121C22×C8—731no—
1122C22×C8—731no—
1123C4⋊Q8—731no—
1124C4⋊Q8—731no—
1125C4⋊Q8—731no—
1126C4⋊Q8—731no—
1127C4⋊Q8—731no—
1128C4⋊Q8—1461no—
1129C4⋊Q8—1461no—
1130C4⋊Q8—1461no—
1131C4⋊Q8—1461no—
1132C4⋊Q8—1461no—
1133C4⋊Q8—1461no—
1134C4⋊Q8—1461no—
1135C4⋊Q8C22×D7311yescharacteristic
1136C4⋊Q8C22×D7311yescharacteristic
1137#127—731no—
1138#126—1461no—
1139#126—1461no—
1140#126—1461no—
1141#126—1461no—
1142#126—1461no—
1143#125—21no—
1144#125—731no—
1145#125—1461no—
1146#125—1461no—
1147#125—1461no—
1148#125—1461no—
1149#125—1461no—
1150#125—1461no—
1151#125—1461no—
1152#125—1461no—
1153#124—21no—
1154#124—21no—
1155#124—731no—
1156#124—731no—
1157#124—731no—
1158#124—1461no—
1159#124—1461no—
1160#124—1461no—
1161#124—1461no—
1162#124—1461no—
1163#124C22×D7311yescharacteristic
1164#124C22×D7311yescharacteristic
1165#124C22×D7311yescharacteristic
1166#124C22×D7311yescharacteristic
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172#123—1461no—
1173#123—1461no—
1174C22⋊Q8—21no—
1175C22⋊Q8—731no—
1176C22⋊Q8—731no—
1177C22⋊Q8—731no—
1178C22⋊Q8—731no—
1179C22⋊Q8—731no—
1180C22⋊Q8—731no—
1181C22⋊Q8—731no—
1182C22⋊Q8—1461no—
1183C22⋊Q8—1461no—
1184C22⋊Q8—1461no—
1185C22⋊Q8—1461no—
1186C22⋊Q8—1461no—
1187C22⋊Q8—1461no—
1188C22⋊Q8—1461no—
1189C22⋊Q8—1461no—
1190C22⋊Q8—1461no—
1191C22⋊Q8—1461no—
1192C22⋊Q8—1461no—
1193C22⋊Q8—1461no—
1194C22⋊Q8—1461no—
1195C22⋊Q8—1461no—
1196C22⋊Q8—1461no—
1197C22⋊Q8—1461no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8C22×D7311yescharacteristic
1202C22⋊Q8C22×D7311yescharacteristic
1203#121—731no—
1204#121—731no—
1205#121—731no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#120—1461no—
1214#120—1461no—
1215#120—1461no—
1216#120—1461no—
1217C4×Q8—21no—
1218C4×Q8—731no—
1219C4×Q8—731no—
1220C4×Q8—731no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—731no—
1227C4×Q8—731no—
1228C4×Q8—731no—
1229C4×Q8—731no—
1230C4×Q8—731no—
1231C4×Q8—1461no—
1232C4×Q8—1461no—
1233C4×Q8—1461no—
1234C4×Q8—1461no—
1235C4×Q8—1461no—
1236C4×Q8—1461no—
1237C4×Q8—1461no—
1238C4×Q8—1461no—
1239C4×Q8—1461no—
1240C4×Q8—1461no—
1241C4×Q8C22×D7311yescharacteristic
1242C4×Q8C22×D7311yescharacteristic
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267#117—21no—
1268#117—731no—
1269#117—731no—
1270#117—731no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117—1461no—
1277C2×C4⋊C4—731no—
1278C2×C4⋊C4—731no—
1279C2×C4⋊C4—731no—
1280C2×C4⋊C4—1461no—
1281C2×C4⋊C4—1461no—
1282C2×C4⋊C4—1461no—
1283C2×C22⋊C4—21no—
1284C2×C22⋊C4—21no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C42—731no—
1290C2×C42—731no—
1291C2×C42—1461no—
1292C2×C42—1461no—
1293C2×C42—1461no—
1294C2×C42C22×D7311yescharacteristic
1295#107—731no—
1296#107—731no—
1297#107—731no—
1298#107—731no—
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303C4⋊C8—731no—
1304C4⋊C8—731no—
1305C4⋊C8—731no—
1306C4⋊C8—731no—
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8C22×D7311yescharacteristic
1312C4⋊C8C22×D7311yescharacteristic
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103C22×D7311yescharacteristic
1330#103C22×D7311yescharacteristic
1331#103C22×D7311yescharacteristic
1332#103C22×D7311yescharacteristic
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102C22×D7311yescharacteristic
1342#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344#102C22×D7311yescharacteristic
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8C22×D7311yescharacteristic
1350C22⋊C8C22×D7311yescharacteristic
1351#97—731no—
1352#97—731no—
1353#97C22×D7311yescharacteristic
1354#97C22×D7311yescharacteristic
1355C4×C8—731no—
1356C4×C8—731no—
1357C24—21no—
1358C24—1461no—
1359#41—2921no—
1360#41—2921no—
1361#41—2921no—
1362#41—2921no—
1363#41—1464no—
1364C2×Q8—21no—
1365C2×Q8—21no—
1366C2×Q8—41no—
1367C2×Q8—41no—
1368C2×Q8—2921no—
1369C2×Q8—2921no—
1370C2×Q8—2921no—
1371C2×Q8—2921no—
1372C2×Q8—2921no—
1373C2×Q8—731no—
1374C2×Q8—731no—
1375C2×Q8—731no—
1376C2×Q8—731no—
1377C2×Q8—1462no—
1378C2×Q8—1461no—
1379C2×Q8—1461no—
1380C2×Q8—1461no—
1381C2×Q8—1461no—
1382C2×Q8—1461no—
1383C2×Q8—1462no—
1384C2×Q8—1462no—
1385C2×Q8—1461no—
1386C2×Q8C23×D7311yescharacteristic
1387C2×Q8C23×D7311yescharacteristic
1388C2×Q8C23×D7311yescharacteristic
1389C2×Q8C23×D7311yescharacteristic
1390C2×D4—21no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—2924no—
1394C2×D4—2921no—
1395C2×D4—2921no—
1396C2×D4—731no—
1397C2×D4—731no—
1398C2×D4—731no—
1399C2×D4—731no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4C23×D7311yescharacteristic
1409C2×D4C23×D7311yescharacteristic
1410C22×C4—21no—
1411C22×C4—731no—
1412C22×C4—731no—
1413C22×C4—731no—
1414C22×C4—731no—
1415C22×C4—731no—
1416C22×C4—731no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4D4×D7311yescharacteristic
1430C22×C4D4×D7311yescharacteristic
1431C22×C4C23×D7311yescharacteristic
1432Q16—41no—
1433Q16—41no—
1434Q16—41no—
1435Q16—41no—
1436Q16—2921no—
1437Q16—2921no—
1438Q16—2921no—
1439Q16—2921no—
1440Q16—2921no—
1441Q16—1462no—
1442Q16—1462no—
1443Q16—1462no—
1444SD16—41no—
1445SD16—41no—
1446SD16—41no—
1447SD16—41no—
1448SD16—2921no—
1449SD16—2921no—
1450SD16—2921no—
1451SD16—2921no—
1452SD16—2921no—
1453SD16—1462no—
1454SD16—1462no—
1455SD16—1462no—
1456M16—2921no—
1457M16—2921no—
1458C2×C8—2921no—
1459C2×C8—2921no—
1460C2×C8—2921no—
1461C2×C8—2921no—
1462C2×C8—731no—
1463C2×C8—731no—
1464C2×C8—731no—
1465C2×C8—731no—
1466C2×C8C23×D7311yescharacteristic
1467C2×C8C23×D7311yescharacteristic
1468C2×C8C23×D7311yescharacteristic
1469C2×C8C23×D7311yescharacteristic
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—731no—
1478C4⋊C4—731no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4C23×D7311yescharacteristic
1519C4⋊C4C23×D7311yescharacteristic
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—731no—
1531C22⋊C4—731no—
1532C22⋊C4—731no—
1533C22⋊C4—731no—
1534C22⋊C4—731no—
1535C22⋊C4—731no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C42—21no—
1556C42—21no—
1557C42—731no—
1558C42—731no—
1559C42—731no—
1560C42—731no—
1561C42—731no—
1562C42—731no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42—1461no—
1571C42—1461no—
1572C42—1461no—
1573C42—1461no—
1574C42D4×D7311yescharacteristic
1575C42D4×D7311yescharacteristic
1576C42C23×D7311yescharacteristic
1577C42C23×D7311yescharacteristic
1578C23—21no—
1579C23—21no—
1580C23—42no—
1581C23—81no—
1582C23—81no—
1583C23—2922no—
1584C23—5841no—
1585C23—5841no—
1586C23—731no—
1587C23—731no—
1588C23—1461no—
1589C23C2×D4×D7311yescharacteristic
1590Q8—21no—
1591Q8—21no—
1592Q8—21no—
1593Q8—21no—
1594Q8—21no—
1595Q8—21no—
1596Q8—21no—
1597Q8—21no—
1598Q8—81no—
1599Q8—81no—
1600Q8—2922no—
1601Q8—2922no—
1602Q8—2922no—
1603Q8—5841no—
1604Q8—5841no—
1605Q8—5841no—
1606Q8—732no—
1607Q8—1462no—
1608Q8—1461no—
1609Q8—1461no—
1610Q8—1461no—
1611Q8—1461no—
1612Q8—1461no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—81no—
1618D4—2922no—
1619D4—2922no—
1620D4—2922no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—5841no—
1626D4—734no—
1627D4—1462no—
1628D4—1462no—
1629D4—1461no—
1630D4—1461no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—41no—
1641C2×C4—81no—
1642C2×C4—2921no—
1643C2×C4—2921no—
1644C2×C4—2922no—
1645C2×C4—2922no—
1646C2×C4—2922no—
1647C2×C4—2922no—
1648C2×C4—5841no—
1649C2×C4—5841no—
1650C2×C4—5841no—
1651C2×C4—5841no—
1652C2×C4—5841no—
1653C2×C4—5841no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—731no—
1657C2×C4—731no—
1658C2×C4—731no—
1659C2×C4—731no—
1660C2×C4—731no—
1661C2×C4—731no—
1662C2×C4—1462no—
1663C2×C4—1462no—
1664C2×C4—1461no—
1665C2×C4—1461no—
1666C2×C4—1461no—
1667C2×C4—1461no—
1668C2×C4—1461no—
1669C2×C4—1461no—
1670C2×C4—1461no—
1671C2×C4—1461no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4C2×D4×D7311yescharacteristic
1676C2×C4C2×D4×D7311yescharacteristic
1677C2×C4C2×D4×D7311yescharacteristic
1678C2×C4C2×D4×D7311yescharacteristic
1679C2×C4C2×D4×D7311yescharacteristic
1680C2×C4C24×D7311yescharacteristic
1681C8—21no—
1682C8—21no—
1683C8—21no—
1684C8—21no—
1685C8—1461no—
1686C8—1461no—
1687C8—1461no—
1688C8—1461no—
1689C22—21no—
1690C22—21no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—162no—
1698C22—2921no—
1699C22—2921no—
1700C22—2921no—
1701C22—732no—
1702C22—11682no—
1703C22—1461no—
1704C22—1461no—
1705C22—1461no—
1706C22—1461no—
1707C22—1461no—
1708C22#137×D7312yes—
1709C22C22×D4×D7311yescharacteristic
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—2921no—
1722C4—2921no—
1723C4—2921no—
1724C4—2921no—
1725C4—2921no—
1726C4—2921no—
1727C4—732no—
1728C4—1462no—
1729C4—1461no—
1730C4—1461no—
1731C4—1461no—
1732C4—1461no—
1733C4—1461no—
1734C4H(5,𝔽2)×D7311yescharacteristic
1735C4#1798942211yescharacteristic
1736C2—22no—
1737C2—81no—
1738C2—81no—
1739C2—2921no—
1740C2—5841no—
1741C2—1462no—
1742C2#2262359811yescharacteristic
1743C2C2×#137×D7311yescharacteristic
1744C2#2262470411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3215C2
socleC22×C73C23×D4
prime radical#22623886C2
hypercenter#3215D73
hypocenterC73#61991
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3215

Complements

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

NH ≅ G/Ntype
2. #22623509C2semidirect
3. #22622981C2semidirect
4. #22622959C2semidirect
5. #22622742C2semidirect
6. #22622668C2semidirect
7. #22622046C2semidirect
8. #22622041C2semidirect
9. #22622016C2semidirect
10. #22622011C2semidirect
11. #22621800C2semidirect
12. #22621748C2semidirect
13. #22621676C2semidirect
14. #22621625C2semidirect
15. #22621505C2semidirect
16. #22621500C2semidirect
17. #22621445C2semidirect
18. #22621440C2semidirect
19. #22621301C2semidirect
20. #22621265C2semidirect
21. #22621262C2semidirect
22. #22620932C2semidirect
23. #22620886C2semidirect
24. #22620104C2semidirect
25. #22620101C2semidirect
26. #22620010C2semidirect
27. #22619401C2semidirect
28. C2×#17988806C2semidirect
29. #464×D73C2semidirect
30. #22619058C2semidirect
31. C73×#3215C2semidirect
32. C2×#14556623C22semidirect
33. C2×#14556620C22semidirect
34. C22×#11924018C22semidirect
35. C2×Q16×D73C22semidirect
39. #17989317C22semidirect
41. #17989312C22semidirect
44. #17989298C22semidirect
46. #17989295C22semidirect
52. #17989252C22semidirect
55. #17989250C22semidirect
67. #17989141C22semidirect
68. #17989141C22semidirect
78. C2×C4×Dic146C22semidirect
79. C4×Q8×D73C22semidirect
80. C4×Q8×D73C22semidirect
81. #17988980C22semidirect
83. #17988965C22semidirect
85. #17988948C22semidirect
87. #17988936C22semidirect
89. #17988923C22semidirect
90. #17988921C22semidirect
91. #17988916C22semidirect
95. #17988895C22semidirect
96. #17988895C22semidirect
97. #17988894C22semidirect
98. #17988894C22semidirect
99. #17988880C22semidirect
101. #17988870C22semidirect
102. #17988869C22semidirect
103. #17988865C22semidirect
104. #17988864C22semidirect
105. #17988844C22semidirect
106. #17988842C22semidirect
109. #17988827C22semidirect
110. #17988826C22semidirect
111. #17988826C22semidirect
112. #17988825C22semidirect
117. #17988812C22semidirect
118. #17988811C22semidirect
119. #17988810C22semidirect
120. #17988810C22semidirect
121. #17988809C22semidirect
122. #17988809C22semidirect
129. #17988806C22semidirect
130. #17988806C22semidirect
131. #17988806C22semidirect
132. #17988806C22semidirect
133. #17988796C22semidirect
134. #17988795C22semidirect
135. #17988795C22semidirect
136. #17988795C22semidirect
137. #17988794C22semidirect
139. #17988790C22semidirect
140. #17988789C22semidirect
143. #17988752C22semidirect
144. #17988750C22semidirect
145. #17988748C22semidirect
146. #17988746C22semidirect
147. #17988745C22semidirect
148. #17988744C22semidirect
149. #17988741C22semidirect
150. #17988741C22semidirect
151. #17988741C22semidirect
157. #17988715C22semidirect
158. #17988715C22semidirect
159. #17988695C22semidirect
160. #17988695C22semidirect
161. #17988694C22semidirect
162. #17988691C22semidirect
163. #17988689C22semidirect
164. #17988689C22semidirect
165. #17988688C22semidirect
166. #17988684C22semidirect
167. Q16×Dic73C22semidirect
168. #17988679C22semidirect
171. #17988660C22semidirect
172. #17988660C22semidirect
173. #17988655C22semidirect
174. #17988655C22semidirect
177. #17988643C22semidirect
178. #17988639C22semidirect
179. #17988609C22semidirect
180. C2×C4⋊#10596831C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988587C22semidirect
183. #17988585C22semidirect
184. C2×#14556515C22semidirect
185. #103×D73C22semidirect
188. #533×C73C22semidirect
191. #497×C73C22semidirect
193. #489×C73C22semidirect
196. #464×C73C22semidirect
197. #464×C73C22semidirect
198. #451×C73C22semidirect
199. #451×C73C22semidirect
202. #432×C73C22semidirect
757. C22⋊D73#137semidirect
895. #3215D73semidirect
904. C73#61991semidirect
943. #533C2×D73semidirect
959. #497C2×D73semidirect
965. #489C2×D73semidirect
1014. #464C2×D73semidirect
1015. #464C2×D73semidirect
1035. #451C2×D73semidirect
1036. #451C2×D73semidirect
1065. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238862
#226235092
#226229812
#226229592
#226227422
#226226682
#226220462
#226220412
#226220162
#226220112
#226218002
#226217482
#226216762
#226216252
#226215052
#226215002
#226214452
#226214402
#226213012
#226212652
#226212622
#226209322
#226208862
#226201042
#226201012
#226200102
#226194012
C2×#179888062
#464×D732
#226190582
C73×#32152
#6199173