Finite Group Databasebeta

← #33978967

Subgroups — #33978967

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#22623885C211yesmaximal, characteristic
2#22623510C211yesmaximal, characteristic, complemented
3#22622987C211yesmaximal, characteristic, complemented
4#22622963C211yesmaximal, characteristic, complemented
5#22622742C211yesmaximal, characteristic, complemented
6#22622674C211yesmaximal, characteristic, complemented
7#22622045C211yesmaximal, characteristic, complemented
8#22622013C211yesmaximal, characteristic, complemented
9#22622006C211yesmaximal, characteristic, complemented
10#22621803C211yesmaximal, characteristic, complemented
11#22621753C211yesmaximal, characteristic, complemented
12#22621676C211yesmaximal, characteristic, complemented
13#22621624C211yesmaximal, characteristic, complemented
14#22621508C211yesmaximal, characteristic, complemented
15#22621497C211yesmaximal, characteristic, complemented
16#22621446C211yesmaximal, characteristic, complemented
17#22621439C211yesmaximal, characteristic, complemented
18#22621299C211yesmaximal, characteristic, complemented
19#22621271C211yesmaximal, characteristic, complemented
20#22621261C211yesmaximal, characteristic, complemented
21#22620935C211yesmaximal, characteristic, complemented
22#22620933C211yesmaximal, characteristic, complemented
23#22620885C211yesmaximal, characteristic, complemented
24#22620106C211yesmaximal, characteristic, complemented
25#22620099C211yesmaximal, characteristic, complemented
26#22620014C211yesmaximal, characteristic, complemented
27#22619402C211yesmaximal, characteristic, complemented
28C2×#17988812C211yesmaximal, characteristic, complemented
29#464×D73C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3316C211yesmaximal, characteristic, complemented
32C2×#14556624C2211yescharacteristic, complemented
33C2×#14556621C2211yescharacteristic, complemented
34C22×#11924018C2211yescharacteristic, complemented
35C2×Q16×D73C2211yescharacteristic, complemented
36C22×#11924017C2211yescharacteristic
37C2×SD16×D73C2211yescharacteristic
38#17989319C2211yescharacteristic
39#17989317C2211yescharacteristic, complemented
40#17989315C2211yescharacteristic, complemented
41#17989314—21no—
42#17989309C2211yescharacteristic
43#17989299—21no—
44#17989296—21no—
45#17989292C2211yescharacteristic
46#17989292C2211yescharacteristic, complemented
47#17989291—21no—
48#17989291—21no—
49#17989266—21no—
50#17989264—21no—
51D4×Dic146C2211yescharacteristic, complemented
52Q8×C22⋊D73C2211yescharacteristic
53#17989250C2211yescharacteristic
54#17989250C2211yescharacteristic, complemented
55#17989247C2211yescharacteristic
56#17989233C2211yescharacteristic
57#17989226—21no—
58#17989225C2211yescharacteristic
59#17989221C2211yescharacteristic
60#17989207—21no—
61#17989174—21no—
62#17989171—21no—
63#17989143—21no—
64#17989142C2211yescharacteristic, complemented
65#17989139—21no—
66#17989139—21no—
67#17989139C2211yescharacteristic, complemented
68#17989139C2211yescharacteristic, complemented
69#17989133C2211yescharacteristic
70#17989124C2211yescharacteristic
71#17989123C2211yescharacteristic
72#17989118C2211yescharacteristic
73C2×#14556580C2211yescharacteristic
74#124×D73C2211yescharacteristic
75#17989059—21no—
76C4×#11924027—21no—
77C4×#11924027C2211yescharacteristic
78C2×#14556556C2211yescharacteristic, complemented
79C2×#14556556C2211yescharacteristic, complemented
80C4×Q8×D73C2211yescharacteristic, complemented
81#17988982C2211yescharacteristic, complemented
82#17988981C2211yescharacteristic
83#17988980C2211yescharacteristic
84#17988980C2211yescharacteristic, complemented
85#17988965C2211yescharacteristic, complemented
86#17988958C2211yescharacteristic
87#17988949C2211yescharacteristic
88#17988948C2211yescharacteristic
89#17988948C2211yescharacteristic, complemented
90#17988936C2211yescharacteristic, complemented
91#17988932C2211yescharacteristic
92#17988922C2211yescharacteristic, complemented
93#17988921C2211yescharacteristic, complemented
94#17988907C2211yescharacteristic
95#17988900C2211yescharacteristic
96#17988897C2211yescharacteristic, complemented
97#17988897C2211yescharacteristic, complemented
98#17988897C2211yescharacteristic, complemented
99#17988896C2211yescharacteristic, complemented
100#17988880C2211yescharacteristic, complemented
101#17988876C2211yescharacteristic
102#17988871C2211yescharacteristic, complemented
103#17988865C2211yescharacteristic, complemented
104#17988864C2211yescharacteristic, complemented
105#17988843C2211yescharacteristic, complemented
106#17988835C2211yescharacteristic
107#17988833C2211yescharacteristic
108#17988828C2211yescharacteristic, complemented
109#17988827C2211yescharacteristic, complemented
110#17988827C2211yescharacteristic, complemented
111#17988826C2211yescharacteristic, complemented
112#17988817C2211yescharacteristic
113#17988817C2211yescharacteristic
114#17988814C2211yescharacteristic
115#17988812C2211yescharacteristic
116#17988812C2211yescharacteristic
117#17988812C2211yescharacteristic
118#17988812C2211yescharacteristic
119#17988812C2211yescharacteristic
120#17988812C2211yescharacteristic, complemented
121#17988812C2211yescharacteristic, complemented
122#17988812C2211yescharacteristic, complemented
123#17988812C2211yescharacteristic, complemented
124#17988812C2211yescharacteristic, complemented
125#17988811C2211yescharacteristic
126#17988811C2211yescharacteristic, complemented
127#17988810C2211yescharacteristic
128#17988809C2211yescharacteristic
129#17988808C2211yescharacteristic, complemented
130#17988808C2211yescharacteristic, complemented
131#17988808C2211yescharacteristic, complemented
132#17988807C2211yescharacteristic, complemented
133#17988806C2211yescharacteristic, complemented
134#17988797C2211yescharacteristic, complemented
135#17988796C2211yescharacteristic, complemented
136#17988796C2211yescharacteristic, complemented
137#17988796C2211yescharacteristic, complemented
138#17988795C2211yescharacteristic, complemented
139#17988793C2211yescharacteristic, complemented
140#17988791C2211yescharacteristic
141#17988790C2211yescharacteristic, complemented
142#17988786C2211yescharacteristic
143#17988786C2211yescharacteristic
144#17988751C2211yescharacteristic, complemented
145#17988749C2211yescharacteristic, complemented
146#17988747C2211yescharacteristic, complemented
147#17988745C2211yescharacteristic, complemented
148#17988744C2211yescharacteristic, complemented
149#17988744C2211yescharacteristic, complemented
150#17988743C2211yescharacteristic, complemented
151#17988742C2211yescharacteristic, complemented
152#17988741C2211yescharacteristic, complemented
153#17988740C2211yescharacteristic
154#17988739C2211yescharacteristic
155#17988739C2211yescharacteristic
156#17988737C2211yescharacteristic
157#17988728C2211yescharacteristic
158#17988727C2211yescharacteristic
159#17988725C2211yescharacteristic
160#17988716C2211yescharacteristic, complemented
161#17988715C2211yescharacteristic, complemented
162#17988693C2211yescharacteristic, complemented
163#17988693C2211yescharacteristic, complemented
164#17988692C2211yescharacteristic, complemented
165#17988689C2211yescharacteristic, complemented
166#17988685C2211yescharacteristic, complemented
167#17988684C2211yescharacteristic, complemented
168#17988684C2211yescharacteristic, complemented
169#17988679C2211yescharacteristic, complemented
170#17988679C2211yescharacteristic, complemented
171#17988674C2211yescharacteristic
172#17988674C2211yescharacteristic
173#17988661C2211yescharacteristic, complemented
174#17988659C2211yescharacteristic, complemented
175#17988656C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic
177#17988650C2211yescharacteristic
178#17988642C2211yescharacteristic, complemented
179#17988641C2211yescharacteristic, complemented
180#17988637C2211yescharacteristic, complemented
181#17988610C2211yescharacteristic, complemented
182C2×#14556520C2211yescharacteristic, complemented
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988586C2211yescharacteristic, complemented
185#103×D73C2211yescharacteristic, complemented
186C2×#14556511C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#554×C73C2211yescharacteristic, complemented
189#548×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic, complemented
191#483×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic
193#475×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#451×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202C2×#103×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027D411yescharacteristic
205C22×Dic146C2311yescharacteristic
206C22×Dic146C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C2×D4×D73—21no—
211C2×D4×D73C2311yescharacteristic
212#14556624—42no—
213#14556621—42no—
214C2×Dic292C2311yescharacteristic
215C2×Dic292C2311yescharacteristic
216C2×Dic292C2311yescharacteristic
217C2×#11924018—42no—
218C2×#11924018C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924018C2311yescharacteristic
223C2×#11924018C2311yescharacteristic
224C2×#11924018C2311yescharacteristic
225Q16×D73—42no—
226C2×#11924017—42no—
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924017C2311yescharacteristic
232C2×#11924017C2311yescharacteristic
233C2×#11924016C2311yescharacteristic
234C2×#11924016C2311yescharacteristic
235C2×#11924016C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237C2×#11924015C2311yescharacteristic
238SD16×D73—42no—
239C2×#11924012C2311yescharacteristic
240C22×#10596831C2311yescharacteristic
241C2×C8×D73C2311yescharacteristic
242C2×C8×D73C2311yescharacteristic
243#14556591C2311yescharacteristic
244#14556590—21no—
245#14556590—21no—
246#14556590—21no—
247#14556590—21no—
248#14556590C2311yescharacteristic
249#14556590C2311yescharacteristic
250#14556589—21no—
251#14556589—21no—
252#14556589—21no—
253#14556589C2311yescharacteristic
254#14556589C2311yescharacteristic
255#14556589C2311yescharacteristic
256#14556587C2311yescharacteristic
257#14556586—21no—
258#14556586—21no—
259#14556586—21no—
260#14556585—21no—
261#14556584—21no—
262#14556583—21no—
263#14556582—21no—
264#14556582C2311yescharacteristic
265#14556581—21no—
266#14556581—21no—
267#14556581—21no—
268#14556581—21no—
269#14556581—21no—
270#14556581—21no—
271#14556580—21no—
272#14556580—21no—
273#14556580C2311yescharacteristic
274#14556580C2311yescharacteristic
275#14556580C2311yescharacteristic
276#14556580C2311yescharacteristic
277#14556579C2311yescharacteristic
278#14556578C2311yescharacteristic
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556577—21no—
283#14556576—21no—
284#14556576—21no—
285#14556575—21no—
286#14556575—21no—
287#14556574—21no—
288#14556573—21no—
289#14556572—21no—
290#14556571C2311yescharacteristic
291#14556571C2311yescharacteristic
292#14556570—21no—
293#14556570—21no—
294#14556570—21no—
295#14556570C2311yescharacteristic
296#14556570C2311yescharacteristic
297#14556570C2311yescharacteristic
298#14556569—21no—
299#14556569—21no—
300#14556569—21no—
301#14556569—21no—
302#14556569—21no—
303#14556569—21no—
304#14556568—21no—
305#14556568—21no—
306#14556568—21no—
307#14556568—21no—
308#14556568—21no—
309#14556568—21no—
310#14556567—21no—
311#14556567—21no—
312#14556567C2311yescharacteristic
313#14556566C2311yescharacteristic
314#14556565C2311yescharacteristic
315#14556564—21no—
316#14556564—21no—
317#14556564—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556561—21no—
322#14556559—21no—
323#14556559—21no—
324#14556559—21no—
325Q8×Dic73—21no—
326Q8×Dic73C2311yescharacteristic
327Q8×Dic73C2311yescharacteristic
328C4×Dic146—21no—
329C4×Dic146—21no—
330C4×Dic146C2311yescharacteristic
331C4×Dic146C2311yescharacteristic
332#14556556—21no—
333#14556556—21no—
334#14556556—21no—
335#14556556—21no—
336#14556556—21no—
337#14556556—21no—
338#14556556—21no—
339#14556556—21no—
340#14556556D411yescharacteristic
341#14556556C2311yescharacteristic
342#14556556C2311yescharacteristic
343#14556556C2311yescharacteristic
344#14556556C2311yescharacteristic
345#14556556C2311yescharacteristic
346#14556556C2311yescharacteristic
347#14556556C2311yescharacteristic
348#14556556C2311yescharacteristic
349C4×D292—21no—
350C4×D292C2311yescharacteristic
351D4×Dic73—21no—
352D4×Dic73—21no—
353D4×Dic73D411yescharacteristic
354D4×Dic73C2311yescharacteristic
355#14556553—21no—
356#14556553C2311yescharacteristic
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73—21no—
362C4×C22⋊D73C2311yescharacteristic
363C4×C22⋊D73C2311yescharacteristic
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556551—21no—
368#14556551D411yescharacteristic
369#14556551D411yescharacteristic
370#14556549—21no—
371#14556549—21no—
372#14556549D411yescharacteristic
373#14556548—21no—
374#14556548—21no—
375#14556547—21no—
376#14556547—21no—
377#14556547—21no—
378#14556547D411yescharacteristic
379#14556547D411yescharacteristic
380C2×#11924007—21no—
381C2×#11924007—21no—
382C4⋊C4×D73—21no—
383C4⋊C4×D73C2311yescharacteristic
384C2×#11924005—21no—
385C2×#11924005—21no—
386C2×#11924005—21no—
387C22⋊C4×D73—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C2×C4×Dic73—21no—
391C2×C4×Dic73—21no—
392C2×C4×Dic73C2311yescharacteristic
393C2×C4×Dic73C2311yescharacteristic
394C42×D73—21no—
395C42×D73C2311yescharacteristic
396#14556525C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556502C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C22×Q8×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×Q16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×M16×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448C4⋊Q8×C73C2311yescharacteristic
449#125×C73—21no—
450#124×C73—21no—
451#124×C73C2311yescharacteristic
452C22⋊Q8×C73—21no—
453C22⋊Q8×C73—21no—
454C22⋊Q8×C73—21no—
455C22⋊Q8×C73C2311yescharacteristic
456C22⋊Q8×C73C2311yescharacteristic
457C22⋊Q8×C73C2311yescharacteristic
458#121×C73—21no—
459#121×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×Q8×C73C2311yescharacteristic
462C4×D4×C73—21no—
463C4×D4×C73—21no—
464C4×D4×C73C2311yescharacteristic
465C2×C4⋊C4×C73C2311yescharacteristic
466C2×C4⋊C4×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924028—41no—
487#11924028—41no—
488#11924027—24no—
489C2×Dic146—22no—
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×Dic146—41no—
499C2×Dic146C2×D411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×Dic146C2411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×Dic146C2411yescharacteristic
504Q8×D73—22no—
505Q8×D73—41no—
506Q8×D73—41no—
507Q8×D73—41no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—41no—
511C2×D292—41no—
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73C2×D411yescharacteristic
520C2×C22⋊D73C2×D411yescharacteristic
521D4×D73—41no—
522D4×D73—41no—
523D4×D73—44no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73C2×D411yescharacteristic
528C22×Dic73C2×D411yescharacteristic
529C22×Dic73C2×D411yescharacteristic
530C22×Dic73C2×D411yescharacteristic
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73C2×D411yescharacteristic
538C2×C4×D73C2×D411yescharacteristic
539C2×C4×D73C2411yescharacteristic
540Dic292—22no—
541Dic292—41no—
542Dic292—41no—
543#11924018—22no—
544#11924018—22no—
545#11924018—41no—
546#11924018—41no—
547#11924018—41no—
548#11924018—41no—
549#11924018—41no—
550#11924017—22no—
551#11924017—22no—
552#11924017—41no—
553#11924017—41no—
554#11924017—41no—
555#11924017—41no—
556#11924016—22no—
557#11924016—41no—
558#11924016—41no—
559#11924015—41no—
560#11924015—41no—
561#11924012—41no—
562C2×#10596831—41no—
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C2×#10596831C2411yescharacteristic
566C2×#10596831C2411yescharacteristic
567C8×D73—41no—
568C8×D73—41no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73C2×D411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579#11924007—21no—
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#11924007C2×D411yescharacteristic
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73C2×D411yescharacteristic
613C22⋊Dic73C2×D411yescharacteristic
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
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#11924005—21no—
630#11924005—21no—
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×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2411yescharacteristic
651C4×Dic73C2411yescharacteristic
652C4×Dic73C2411yescharacteristic
653#41×C73—41no—
654#41×C73—41no—
655C2×Q8×C73—21no—
656C2×Q8×C73—21no—
657C2×Q8×C73—41no—
658C2×Q8×C73—41no—
659C2×Q8×C73C2411yescharacteristic
660C2×Q8×C73C2411yescharacteristic
661C2×Q8×C73C2411yescharacteristic
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73C2×D411yescharacteristic
665C2×D4×C73C2411yescharacteristic
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73C2411yescharacteristic
671C22×C4×C73C2411yescharacteristic
672Q16×C73—41no—
673Q16×C73—41no—
674SD16×C73—41no—
675M16×C73—41no—
676C2×C8×C73—41no—
677C2×C8×C73C2411yescharacteristic
678C2×C8×C73C2411yescharacteristic
679C2×C8×C73C2411yescharacteristic
680C2×C8×C73C2411yescharacteristic
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×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73C2×D411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73C2×D411yescharacteristic
701C22⋊C4×C73C2×D411yescharacteristic
702C42×C73—21no—
703C42×C73—21no—
704C42×C73C2411yescharacteristic
705C23×C73—21no—
706C23×C73C22×D411yescharacteristic
707C23×C73C22×D411yescharacteristic
708C22×D73—21no—
709C22×D73—21no—
710C22×D73—42no—
711C22×D73—42no—
712C22×D73—81no—
713C22×D73—81no—
714C22×D73—81no—
715C22×D73—81no—
716C22×D73C22×D411yescharacteristic
717Q8×C73—21no—
718Q8×C73—21no—
719Q8×C73—21no—
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723Q8×C73—81no—
724Q8×C73—81no—
725D4×C73—22no—
726D4×C73—21no—
727D4×C73—21no—
728D4×C73—42no—
729D4×C73—81no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
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—81no—
742C2×C4×C73—81no—
743C2×C4×C73—81no—
744C2×C4×C73—81no—
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C2511yescharacteristic
750C22⋊D73—22no—
751C22⋊D73—42no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C22⋊D73#13714yescomplemented
757C2×Dic73—22no—
758C2×Dic73—21no—
759C2×Dic73—22no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—41no—
766C2×Dic73—41no—
767C2×Dic73—42no—
768C2×Dic73—42no—
769C2×Dic73—81no—
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776C2×Dic73C22×D411yescharacteristic
777D292—21no—
778D292—21no—
779D292—21no—
780D292—21no—
781D292—42no—
782D292—81no—
783C4×D73—22no—
784C4×D73—21no—
785C4×D73—21no—
786C4×D73—41no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—81no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793Dic146—21no—
794Dic146—22no—
795Dic146—21no—
796Dic146—21no—
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—21no—
819C22×C73—21no—
820C22×C73—21no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73C2×#13712yes—
825C22×C73C23×D411yescharacteristic
826C2×D73—21no—
827C2×D73—21no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—162no—
835C2×D73—162no—
836C2×D73C2×#13712yes—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—21no—
841C4×C73—41no—
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—21no—
853Dic73—22no—
854Dic73—21no—
855Dic73—21no—
856Dic73—21no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860Dic73—41no—
861Dic73—41no—
862Dic73C2×#13712yes—
863#61991—731nomaximal, Sylow
864C2×C73—22no—
865C2×C73—41no—
866C2×C73—81no—
867C2×C73#348811yescharacteristic
868C2×C73C22×#13711yescharacteristic
869C2×C73#358411yescharacteristic
870D73—22no—
871D73—81no—
872D73—81no—
873#3514—731no—
874Q8×#41—731no—
875#3400—731no—
876#3398—731no—
877#3375—731no—
878#3369—731no—
879#3316—731no—
880#3316D7311yescharacteristic, complemented
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#3215—731no—
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—1461no—
920#554—1461no—
921#554—1461no—
922#554C2×D7311yescharacteristic, complemented
923#551—1461no—
924#551—1461no—
925D4×Q8—731no—
926D4×Q8—731no—
927D4×Q8—731no—
928D4×Q8—731no—
929#548—731no—
930#548C2×D7311yescharacteristic
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—731no—
941#533—1461no—
942#533—1461no—
943#533—1461no—
944#532—731no—
945#529—731no—
946#529—731no—
947#529—731no—
948C2×#124—731no—
949C2×#124—731no—
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#497—731no—
959#497—731no—
960#494—731no—
961#492—731no—
962#489—731no—
963#489—731no—
964#489—731no—
965#489C2×D7311yescharacteristic, complemented
966#487—731no—
967#486—731no—
968#484—731no—
969#484—731no—
970#483C2×D7311yescharacteristic, complemented
971#481—731no—
972#481C2×D7311yescharacteristic
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#475C2×D7311yescharacteristic, complemented
982#474—731no—
983#474—731no—
984#470—731no—
985#470C2×D7311yescharacteristic, complemented
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#465C2×D7311yescharacteristic
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#464—731no—
1013#464—731no—
1014#464—731no—
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#452C2×D7311yescharacteristic, complemented
1030#451—731no—
1031#451—731no—
1032#451—731no—
1033#451—731no—
1034#451—731no—
1035#451—731no—
1036#451C2×D7311yescharacteristic, complemented
1037#450—731no—
1038#450—731no—
1039#450—731no—
1040#450—731no—
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#441C2×D7311yescharacteristic, complemented
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#435C2×D7311yescharacteristic, complemented
1062C8×D4—731no—
1063C8×D4—731no—
1064#432—731no—
1065#432—731no—
1066#431—731no—
1067#423—731no—
1068C2×C4⋊C8—731no—
1069C2×C4⋊C8—731no—
1070#417—731no—
1071#417C2×D7311yescharacteristic, complemented
1072C2×#103—731no—
1073C2×#103C2×D7311yescharacteristic, complemented
1074C2×#102—731no—
1075C2×#102—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41C22×D7311yescharacteristic
1079C22×Q8—731no—
1080C22×Q8—731no—
1081C22×Q8—731no—
1082C22×Q8—731no—
1083C22×Q8C22×D7311yescharacteristic
1084C22×D4—731no—
1085C22×D4—731no—
1086C22×D4—1461no—
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×Q16—731no—
1100C2×Q16—731no—
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×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16C22×D7311yescharacteristic
1117C2×M16—731no—
1118C2×M16C22×D7311yescharacteristic
1119C22×C8—731no—
1120C22×C8—731no—
1121C22×C8—731no—
1122C22×C8C22×D7311yescharacteristic
1123C4⋊Q8—731no—
1124C4⋊Q8—731no—
1125C4⋊Q8—731no—
1126C4⋊Q8—731no—
1127C4⋊Q8—731no—
1128C4⋊Q8—731no—
1129C4⋊Q8—1461no—
1130C4⋊Q8—1461no—
1131C4⋊Q8—1461no—
1132C4⋊Q8—1461no—
1133C4⋊Q8—1461no—
1134C4⋊Q8—1461no—
1135C4⋊Q8—1461no—
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—731no—
1155#124—731no—
1156#124—731no—
1157#124—731no—
1158#124—731no—
1159#124—731no—
1160#124—1461no—
1161#124—1461no—
1162#124—1461no—
1163#124—1461no—
1164#124—1461no—
1165#124—1461no—
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—21no—
1176C22⋊Q8—21no—
1177C22⋊Q8—731no—
1178C22⋊Q8—731no—
1179C22⋊Q8—731no—
1180C22⋊Q8—731no—
1181C22⋊Q8—731no—
1182C22⋊Q8—731no—
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⋊Q8C22×D7311yescharacteristic
1201C22⋊Q8C22×D7311yescharacteristic
1202C22⋊Q8C22×D7311yescharacteristic
1203#121—21no—
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#121C22×D7311yescharacteristic
1213#120—1461no—
1214#120—1461no—
1215#120—1461no—
1216#120—1461no—
1217C4×Q8—731no—
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—1461no—
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—21no—
1244C4×D4—21no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
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×D4C22×D7311yescharacteristic
1267#117—731no—
1268#117—731no—
1269#117—731no—
1270#117—1461no—
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—1461no—
1279C2×C4⋊C4—1461no—
1280C2×C4⋊C4—1461no—
1281C2×C4⋊C4C22×D7311yescharacteristic
1282C2×C4⋊C4C22×D7311yescharacteristic
1283C2×C22⋊C4—1461no—
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C42—731no—
1290C2×C42—731no—
1291C2×C42—731no—
1292C2×C42—1461no—
1293C2×C42—1461no—
1294C2×C42—1461no—
1295#107—731no—
1296#107—731no—
1297#107—731no—
1298#107—731no—
1299#106—731no—
1300#106C22×D7311yescharacteristic
1301#106C22×D7311yescharacteristic
1302#106C22×D7311yescharacteristic
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⋊C8—731no—
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#103C22×D7311yescharacteristic
1327#103C22×D7311yescharacteristic
1328#103C22×D7311yescharacteristic
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#102—731no—
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#97—731no—
1354#97C22×D7311yescharacteristic
1355C4×C8—731no—
1356C4×C8—731no—
1357C24—1461no—
1358C24—1461no—
1359#41—41no—
1360#41—41no—
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—731no—
1378C2×Q8—1462no—
1379C2×Q8—1462no—
1380C2×Q8—1461no—
1381C2×Q8—1461no—
1382C2×Q8—1461no—
1383C2×Q8—1461no—
1384C2×Q8—1462no—
1385C2×Q8—1461no—
1386C2×Q8—1461no—
1387C2×Q8C23×D7311yescharacteristic
1388C2×Q8C23×D7311yescharacteristic
1389C2×Q8C23×D7311yescharacteristic
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—2921no—
1393C2×D4—2921no—
1394C2×D4—2924no—
1395C2×D4—2921no—
1396C2×D4—2921no—
1397C2×D4—731no—
1398C2×D4—731no—
1399C2×D4—731no—
1400C2×D4—731no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4D4×D7311yescharacteristic
1409C2×D4C23×D7311yescharacteristic
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—731no—
1415C22×C4—731no—
1416C22×C4—731no—
1417C22×C4—731no—
1418C22×C4—731no—
1419C22×C4—731no—
1420C22×C4—731no—
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×C4—1461no—
1430C22×C4C23×D7311yescharacteristic
1431C22×C4C23×D7311yescharacteristic
1432Q16—41no—
1433Q16—41no—
1434Q16—2921no—
1435Q16—2921no—
1436Q16—2921no—
1437Q16—2921no—
1438Q16—2921no—
1439Q16—2921no—
1440Q16—2921no—
1441Q16—1462no—
1442Q16—1462no—
1443Q16—1462no—
1444SD16—41no—
1445SD16—2921no—
1446SD16—2921no—
1447SD16—2921no—
1448SD16—2921no—
1449SD16—2921no—
1450SD16—2921no—
1451SD16—2921no—
1452SD16—2921no—
1453SD16—1462no—
1454SD16—1462no—
1455SD16—1462no—
1456M16—41no—
1457M16—2921no—
1458C2×C8—41no—
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—21no—
1478C4⋊C4—731no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1516C4⋊C4C23×D7311yescharacteristic
1517C4⋊C4C23×D7311yescharacteristic
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—731no—
1527C22⋊C4—731no—
1528C22⋊C4—731no—
1529C22⋊C4—731no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1554C22⋊C4D4×D7311yescharacteristic
1555C42—21no—
1556C42—21no—
1557C42—731no—
1558C42—731no—
1559C42—731no—
1560C42—731no—
1561C42—731no—
1562C42—731no—
1563C42—731no—
1564C42—731no—
1565C42—731no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42—1461no—
1571C42—1461no—
1572C42—1461no—
1573C42—1461no—
1574C42—1461no—
1575C42—1461no—
1576C42—1461no—
1577C42C23×D7311yescharacteristic
1578C23—21no—
1579C23—2922no—
1580C23—2922no—
1581C23—5841no—
1582C23—5841no—
1583C23—5841no—
1584C23—5841no—
1585C23—731no—
1586C23—1461no—
1587C23—1461no—
1588C23C2×D4×D7311yescharacteristic
1589C23C2×D4×D7311yescharacteristic
1590Q8—21no—
1591Q8—21no—
1592Q8—21no—
1593Q8—21no—
1594Q8—21no—
1595Q8—21no—
1596Q8—81no—
1597Q8—81no—
1598Q8—2922no—
1599Q8—2922no—
1600Q8—2922no—
1601Q8—5841no—
1602Q8—5841no—
1603Q8—5841no—
1604Q8—732no—
1605Q8—1462no—
1606Q8—1461no—
1607Q8—1461no—
1608Q8—1461no—
1609Q8—1461no—
1610Q8—1461no—
1611Q8—1461no—
1612Q8—1461no—
1613D4—22no—
1614D4—21no—
1615D4—21no—
1616D4—42no—
1617D4—81no—
1618D4—2922no—
1619D4—2922no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—734no—
1626D4—1462no—
1627D4—1461no—
1628D4—1461no—
1629D4—1461no—
1630D4—1461no—
1631C2×C4—21no—
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—21no—
1641C2×C4—21no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—2921no—
1647C2×C4—2922no—
1648C2×C4—2922no—
1649C2×C4—2922no—
1650C2×C4—2922no—
1651C2×C4—2921no—
1652C2×C4—2921no—
1653C2×C4—5841no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—731no—
1659C2×C4—731no—
1660C2×C4—731no—
1661C2×C4—731no—
1662C2×C4—731no—
1663C2×C4—731no—
1664C2×C4—731no—
1665C2×C4—1462no—
1666C2×C4—1461no—
1667C2×C4—1461no—
1668C2×C4—1461no—
1669C2×C4—1461no—
1670C2×C4—1461no—
1671C2×C4—1462no—
1672C2×C4—1462no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
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—21no—
1692C22—21no—
1693C22—21no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—2921no—
1698C22—2921no—
1699C22—2921no—
1700C22—2921no—
1701C22—2921no—
1702C22—2921no—
1703C22—732no—
1704C22—11682no—
1705C22—11682no—
1706C22—1461no—
1707C22—1461no—
1708C22#137×D7312yes—
1709C22C22×D4×D7311yescharacteristic
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—2921no—
1722C4—2921no—
1723C4—2921no—
1724C4—2921no—
1725C4—2921no—
1726C4—732no—
1727C4—1462no—
1728C4—1461no—
1729C4—1461no—
1730C4—1461no—
1731C4—1461no—
1732C4—1461no—
1733C4—1461no—
1734C4H(5,𝔽2)×D7311yescharacteristic
1735C4#1798942311yescharacteristic
1736C2—22no—
1737C2—41no—
1738C2—81no—
1739C2—5841no—
1740C2—5841no—
1741C2—1462no—
1742C2#2262359411yescharacteristic
1743C2C2×#137×D7311yescharacteristic
1744C2#2262470311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3316C2
socleC22×C73C23×D4
prime radical#22623885C2
hypercenter#3316D73
hypocenterC73#61991
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3316

Complements

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

NH ≅ G/Ntype
2. #22623510C2semidirect
3. #22622987C2semidirect
4. #22622963C2semidirect
5. #22622742C2semidirect
6. #22622674C2semidirect
7. #22622045C2semidirect
8. #22622013C2semidirect
9. #22622006C2semidirect
10. #22621803C2semidirect
11. #22621753C2semidirect
12. #22621676C2semidirect
13. #22621624C2semidirect
14. #22621508C2semidirect
15. #22621497C2semidirect
16. #22621446C2semidirect
17. #22621439C2semidirect
18. #22621299C2semidirect
19. #22621271C2semidirect
20. #22621261C2semidirect
21. #22620935C2semidirect
22. #22620933C2semidirect
23. #22620885C2semidirect
24. #22620106C2semidirect
25. #22620099C2semidirect
26. #22620014C2semidirect
27. #22619402C2semidirect
28. C2×#17988812C2semidirect
29. #464×D73C2semidirect
30. #22619051C2semidirect
31. C73×#3316C2semidirect
32. C2×#14556624C22semidirect
33. C2×#14556621C22semidirect
34. C22×#11924018C22semidirect
35. C2×Q16×D73C22semidirect
39. #17989317C22semidirect
40. #17989315C22semidirect
46. #17989292C22semidirect
51. D4×Dic146C22semidirect
54. #17989250C22semidirect
64. #17989142C22semidirect
67. #17989139C22semidirect
68. #17989139C22semidirect
78. C2×#14556556C22semidirect
79. C2×#14556556C22semidirect
80. C4×Q8×D73C22semidirect
81. #17988982C22semidirect
84. #17988980C22semidirect
85. #17988965C22semidirect
89. #17988948C22semidirect
90. #17988936C22semidirect
92. #17988922C22semidirect
93. #17988921C22semidirect
96. #17988897C22semidirect
97. #17988897C22semidirect
98. #17988897C22semidirect
99. #17988896C22semidirect
100. #17988880C22semidirect
102. #17988871C22semidirect
103. #17988865C22semidirect
104. #17988864C22semidirect
105. #17988843C22semidirect
108. #17988828C22semidirect
109. #17988827C22semidirect
110. #17988827C22semidirect
111. #17988826C22semidirect
120. #17988812C22semidirect
121. #17988812C22semidirect
122. #17988812C22semidirect
123. #17988812C22semidirect
124. #17988812C22semidirect
126. #17988811C22semidirect
129. #17988808C22semidirect
130. #17988808C22semidirect
131. #17988808C22semidirect
132. #17988807C22semidirect
133. #17988806C22semidirect
134. #17988797C22semidirect
135. #17988796C22semidirect
136. #17988796C22semidirect
137. #17988796C22semidirect
138. #17988795C22semidirect
139. #17988793C22semidirect
141. #17988790C22semidirect
144. #17988751C22semidirect
145. #17988749C22semidirect
146. #17988747C22semidirect
147. #17988745C22semidirect
148. #17988744C22semidirect
149. #17988744C22semidirect
150. #17988743C22semidirect
151. #17988742C22semidirect
152. #17988741C22semidirect
160. #17988716C22semidirect
161. #17988715C22semidirect
162. #17988693C22semidirect
163. #17988693C22semidirect
164. #17988692C22semidirect
165. #17988689C22semidirect
166. #17988685C22semidirect
167. #17988684C22semidirect
168. #17988684C22semidirect
169. #17988679C22semidirect
170. #17988679C22semidirect
173. #17988661C22semidirect
174. #17988659C22semidirect
175. #17988656C22semidirect
178. #17988642C22semidirect
179. #17988641C22semidirect
180. #17988637C22semidirect
181. #17988610C22semidirect
182. C2×#14556520C22semidirect
183. C4⋊C8×D73C22semidirect
184. #17988586C22semidirect
185. #103×D73C22semidirect
188. #554×C73C22semidirect
190. #489×C73C22semidirect
191. #483×C73C22semidirect
193. #475×C73C22semidirect
194. #470×C73C22semidirect
196. #464×C73C22semidirect
197. #452×C73C22semidirect
198. #451×C73C22semidirect
199. #441×C73C22semidirect
200. #435×C73C22semidirect
201. #417×C73C22semidirect
202. C2×#103×C73C22semidirect
756. C22⋊D73#137semidirect
880. #3316D73semidirect
904. C73#61991semidirect
922. #554C2×D73semidirect
965. #489C2×D73semidirect
970. #483C2×D73semidirect
981. #475C2×D73semidirect
985. #470C2×D73semidirect
1015. #464C2×D73semidirect
1029. #452C2×D73semidirect
1036. #451C2×D73semidirect
1049. #441C2×D73semidirect
1061. #435C2×D73semidirect
1071. #417C2×D73semidirect
1073. C2×#103C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238852
#226235102
#226229872
#226229632
#226227422
#226226742
#226220452
#226220132
#226220062
#226218032
#226217532
#226216762
#226216242
#226215082
#226214972
#226214462
#226214392
#226212992
#226212712
#226212612
#226209352
#226209332
#226208852
#226201062
#226200992
#226200142
#226194022
C2×#179888122
#464×D732
#226190512
C73×#33162
#6199173