Finite Group Databasebeta

← #33978590

Subgroups — #33978590

Order 18688.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623889C211yesmaximal, characteristic, complemented
2#22623550C211yesmaximal, characteristic, complemented
3#22622985C211yesmaximal, characteristic, complemented
4#22622965C211yesmaximal, characteristic, complemented
5#22622726C211yesmaximal, characteristic, complemented
6#22622646C211yesmaximal, characteristic, complemented
7#22622212C211yesmaximal, characteristic, complemented
8#22622158C211yesmaximal, characteristic, complemented
9#22621993C211yesmaximal, characteristic, complemented
10#22621991C211yesmaximal, characteristic, complemented
11#22621965C211yesmaximal, characteristic, complemented
12#22621574C211yesmaximal, characteristic, complemented
13#22621529C211yesmaximal, characteristic, complemented
14#22621491C211yesmaximal, characteristic, complemented
15#22621479C211yesmaximal, characteristic, complemented
16#22621453C211yesmaximal, characteristic, complemented
17#22621452C211yesmaximal, characteristic, complemented
18#22621306C211yesmaximal, characteristic, complemented
19#22621299C211yesmaximal, characteristic, complemented
20#22621261C211yesmaximal, characteristic, complemented
21#22620935C211yesmaximal, characteristic, complemented
22#22620931C211yesmaximal, characteristic, complemented
23#22620885C211yesmaximal, characteristic, complemented
24#22620043C211yesmaximal, characteristic, complemented
25#22620038C211yesmaximal, characteristic, complemented
26#22619944C211yesmaximal, characteristic, complemented
27#22619424C211yesmaximal, characteristic, complemented
28#22619422C211yesmaximal, characteristic, complemented
29#22619384C211yesmaximal, characteristic, complemented
30#22619043C211yesmaximal, characteristic, complemented
31C73×#3311C211yesmaximal, characteristic, complemented
32C2×#14556624C2211yescharacteristic, complemented
33C2×#14556623C2211yescharacteristic, complemented
34C2×#14556618C2211yescharacteristic
35C2×#14556617C2211yescharacteristic
36C2×#14556613C2211yescharacteristic, complemented
37C2×#14556611C2211yescharacteristic, complemented
38#17989320C2211yescharacteristic
39#17989315C2211yescharacteristic, complemented
40#17989306C2211yescharacteristic
41#17989305C2211yescharacteristic
42#17989305C2211yescharacteristic, complemented
43#17989301—21no—
44#17989278—21no—
45#17989273—21no—
46#17989273—21no—
47#17989265—21no—
48#17989263—21no—
49#17989252C2211yescharacteristic, complemented
50#17989250C2211yescharacteristic
51#17989246C2211yescharacteristic
52#17989245—21no—
53#17989244C2211yescharacteristic
54#17989242C2211yescharacteristic, complemented
55#17989239C2211yescharacteristic
56#17989239C2211yescharacteristic, complemented
57#17989234C2211yescharacteristic
58#17989224—21no—
59D4×C22⋊D73C2211yescharacteristic
60#17989205—21no—
61#17989172—21no—
62#17989169—21no—
63#17989142C2211yescharacteristic, complemented
64#17989139C2211yescharacteristic, complemented
65#17989139C2211yescharacteristic, complemented
66#17989133C2211yescharacteristic
67#17989123C2211yescharacteristic
68#17989120—21no—
69#17989120—21no—
70#17989119C2211yescharacteristic
71#17989118C2211yescharacteristic
72#17989116—21no—
73C2×#14556578C2211yescharacteristic
74#124×D73C2211yescharacteristic
75#17989060—21no—
76C4×#11924029C2211yescharacteristic, complemented
77#17989055C2211yescharacteristic, complemented
78#17989055C2211yescharacteristic, complemented
79C4×#11924027C2211yescharacteristic
80C4×Q8×D73—21no—
81#17988982C2211yescharacteristic
82#17988981C2211yescharacteristic, complemented
83#17988978C2211yescharacteristic
84#17988978C2211yescharacteristic, complemented
85#17988965C2211yescharacteristic, complemented
86#17988958C2211yescharacteristic
87#17988949C2211yescharacteristic, complemented
88#17988945C2211yescharacteristic
89#17988945C2211yescharacteristic, complemented
90#17988936C2211yescharacteristic, complemented
91#17988932C2211yescharacteristic
92#17988930C2211yescharacteristic, complemented
93#17988928C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic
95#17988909C2211yescharacteristic
96#17988897C2211yescharacteristic, complemented
97#17988897C2211yescharacteristic, complemented
98#17988896C2211yescharacteristic, complemented
99#17988890C2211yescharacteristic, complemented
100#17988880C2211yescharacteristic, complemented
101#17988879C2211yescharacteristic, complemented
102#17988876C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic
105#17988846C2211yescharacteristic, complemented
106#17988846C2211yescharacteristic, complemented
107#17988843C2211yescharacteristic, complemented
108#17988835C2211yescharacteristic
109#17988833C2211yescharacteristic
110#17988832C2211yescharacteristic
111#17988832C2211yescharacteristic
112#17988828C2211yescharacteristic, complemented
113#17988826C2211yescharacteristic, complemented
114#17988814C2211yescharacteristic
115#17988812C2211yescharacteristic, complemented
116#17988812C2211yescharacteristic, complemented
117#17988811C2211yescharacteristic, complemented
118#17988809C2211yescharacteristic, complemented
119#17988808C2211yescharacteristic
120#17988808C2211yescharacteristic
121#17988808C2211yescharacteristic
122#17988808C2211yescharacteristic, complemented
123#17988808C2211yescharacteristic, complemented
124#17988808C2211yescharacteristic, complemented
125#17988807C2211yescharacteristic
126#17988807C2211yescharacteristic, complemented
127#17988805C2211yescharacteristic, complemented
128#17988803C2211yescharacteristic, complemented
129#17988801C2211yescharacteristic
130#17988801C2211yescharacteristic
131#17988801C2211yescharacteristic, complemented
132#17988801C2211yescharacteristic, complemented
133#17988799C2211yescharacteristic
134#17988798C2211yescharacteristic, complemented
135#17988796C2211yescharacteristic, complemented
136#17988796C2211yescharacteristic, complemented
137#17988795C2211yescharacteristic, complemented
138#17988792C2211yescharacteristic, complemented
139#17988791C2211yescharacteristic, complemented
140#17988791C2211yescharacteristic, complemented
141#17988790C2211yescharacteristic
142#17988786C2211yescharacteristic
143#17988781C2211yescharacteristic
144#17988752C2211yescharacteristic, complemented
145#17988751C2211yescharacteristic, complemented
146#17988751C2211yescharacteristic, complemented
147#17988749C2211yescharacteristic, complemented
148#17988747C2211yescharacteristic, complemented
149#17988747C2211yescharacteristic, complemented
150#17988745C2211yescharacteristic, complemented
151#17988744C2211yescharacteristic, complemented
152#17988744C2211yescharacteristic, complemented
153#17988742C2211yescharacteristic, complemented
154#17988739C2211yescharacteristic
155#17988739C2211yescharacteristic
156#17988738C2211yescharacteristic
157#17988734C2211yescharacteristic
158#17988731C2211yescharacteristic
159#17988730C2211yescharacteristic
160#17988716C2211yescharacteristic, complemented
161#17988715C2211yescharacteristic, complemented
162#17988698C2211yescharacteristic, complemented
163#17988697C2211yescharacteristic, complemented
164#17988692C2211yescharacteristic, complemented
165#17988691C2211yescharacteristic, complemented
166#17988690C2211yescharacteristic, complemented
167#17988689C2211yescharacteristic, complemented
168#17988686C2211yescharacteristic, complemented
169#17988681C2211yescharacteristic, complemented
170#17988678C2211yescharacteristic
171#17988674C2211yescharacteristic, complemented
172#17988667C2211yescharacteristic
173#17988663C2211yescharacteristic
174#17988662C2211yescharacteristic
175#17988659C2211yescharacteristic, complemented
176#17988658C2211yescharacteristic, complemented
177#17988655C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988641C2211yescharacteristic, complemented
180#17988637C2211yescharacteristic, complemented
181#17988610C2211yescharacteristic, complemented
182#17988609C2211yescharacteristic, complemented
183C2×#14556520C2211yescharacteristic, complemented
184#17988595C2211yescharacteristic, complemented
185#17988594C2211yescharacteristic, complemented
186#17988590C2211yescharacteristic
187#17988581C2211yescharacteristic, complemented
188#556×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic
191#485×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic
193#476×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic
196#464×C73C2211yescharacteristic
197#452×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic
202#416×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924027D411yescharacteristic
208C22×Dic146C2311yescharacteristic
209C2×Q8×D73—21no—
210C2×Q8×D73C2311yescharacteristic
211C22×C22⋊D73—21no—
212C2×D4×D73C2311yescharacteristic
213#14556624—42no—
214#14556623—42no—
215#14556618—42no—
216#14556617—42no—
217#14556613—42no—
218#14556611—42no—
219C2×Dic292C2311yescharacteristic
220C2×Dic292C2311yescharacteristic
221C2×Dic292C2311yescharacteristic
222C2×Dic292C2311yescharacteristic
223C2×#11924018C2311yescharacteristic
224C2×#11924018C2311yescharacteristic
225C2×#11924018C2311yescharacteristic
226C2×#11924018C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924016C2311yescharacteristic
234C2×#11924016C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237C2×D584C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924012C2311yescharacteristic
241C2×#11924011C2311yescharacteristic
242C2×#11924011C2311yescharacteristic
243C22×#10596831C2311yescharacteristic
244#14556591C2311yescharacteristic
245#14556590—21no—
246#14556590C2311yescharacteristic
247#14556590C2311yescharacteristic
248#14556589C2311yescharacteristic
249#14556589C2311yescharacteristic
250#14556589C2311yescharacteristic
251#14556587C2311yescharacteristic
252#14556586—21no—
253#14556585—21no—
254#14556585—21no—
255#14556584—21no—
256#14556584—21no—
257#14556584—21no—
258#14556584—21no—
259#14556584—21no—
260#14556584—21no—
261#14556583—21no—
262#14556582—21no—
263#14556582C2311yescharacteristic
264#14556581—21no—
265#14556581—21no—
266#14556581—21no—
267#14556581—21no—
268#14556580C2311yescharacteristic
269#14556579C2311yescharacteristic
270#14556578—21no—
271#14556578—21no—
272#14556578—21no—
273#14556578C2311yescharacteristic
274#14556578C2311yescharacteristic
275#14556578C2311yescharacteristic
276#14556578C2311yescharacteristic
277#14556577—21no—
278#14556577—21no—
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556577—21no—
283#14556576—21no—
284#14556576—21no—
285#14556575—21no—
286#14556574—21no—
287#14556573—21no—
288#14556573—21no—
289#14556573—21no—
290#14556573—21no—
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556572—21no—
295#14556571C2311yescharacteristic
296#14556571C2311yescharacteristic
297#14556571C2311yescharacteristic
298#14556570—21no—
299#14556570C2311yescharacteristic
300#14556570C2311yescharacteristic
301#14556570C2311yescharacteristic
302#14556569—21no—
303#14556569—21no—
304#14556569—21no—
305#14556569—21no—
306#14556568—21no—
307#14556568—21no—
308#14556568—21no—
309#14556568—21no—
310#14556567—21no—
311#14556567—21no—
312#14556565C2311yescharacteristic
313#14556564—21no—
314#14556564—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556562—21no—
320#14556562—21no—
321#14556562—21no—
322#14556562C2311yescharacteristic
323#14556560—21no—
324#14556559—21no—
325#14556559—21no—
326Q8×Dic73—21no—
327Q8×Dic73C2311yescharacteristic
328Q8×Dic73C2311yescharacteristic
329C4×Dic146—21no—
330C4×Dic146—21no—
331C4×Dic146—21no—
332C4×Dic146C2311yescharacteristic
333C4×Dic146C2311yescharacteristic
334#14556556—21no—
335#14556556—21no—
336#14556556D411yescharacteristic
337#14556556C2311yescharacteristic
338#14556556C2311yescharacteristic
339#14556556C2311yescharacteristic
340#14556556C2311yescharacteristic
341#14556556C2311yescharacteristic
342C4×D292—21no—
343C4×D292C2311yescharacteristic
344D4×Dic73—21no—
345D4×Dic73D411yescharacteristic
346D4×Dic73C2311yescharacteristic
347#14556553—21no—
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
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#14556551D411yescharacteristic
367#14556551D411yescharacteristic
368#14556550—21no—
369#14556549—21no—
370#14556549—21no—
371#14556549—21no—
372#14556549D411yescharacteristic
373#14556549C2311yescharacteristic
374#14556548—21no—
375#14556548—21no—
376#14556547—21no—
377#14556547—21no—
378#14556547—21no—
379#14556547—21no—
380#14556547D411yescharacteristic
381#14556547D411yescharacteristic
382C4⋊C4×D73—21no—
383C4⋊C4×D73—21no—
384C4⋊C4×D73—21no—
385C2×C22⋊Dic73—21no—
386C2×C22⋊Dic73—21no—
387C22⋊C4×D73—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C2×C4×Dic73C2311yescharacteristic
391C2×C4×Dic73C2311yescharacteristic
392C42×D73—21no—
393C42×D73—21no—
394C42×D73—21no—
395C42×D73C2311yescharacteristic
396#14556525C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556522C2311yescharacteristic
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#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
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×D4×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×M16×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448C4⋊Q8×C73C2311yescharacteristic
449#126×C73—21no—
450#126×C73—21no—
451#124×C73—21no—
452#124×C73C2311yescharacteristic
453#123×C73—21no—
454C22⋊Q8×C73C2311yescharacteristic
455C22⋊Q8×C73C2311yescharacteristic
456C22⋊Q8×C73C2311yescharacteristic
457#121×C73—21no—
458#121×C73C2311yescharacteristic
459#120×C73—21no—
460C4×Q8×C73—21no—
461C4×Q8×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464#117×C73C2311yescharacteristic
465#117×C73C2311yescharacteristic
466C2×C22⋊C4×C73—21no—
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485#11924029—22no—
486#11924029—41no—
487#11924028—22no—
488#11924028—22no—
489#11924028—41no—
490#11924028—41no—
491#11924028—41no—
492#11924028—41no—
493#11924027—42no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—41no—
499C2×Dic146—41no—
500C2×Dic146C2×D411yescharacteristic
501C2×Dic146C2411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×Dic146C2411yescharacteristic
504C2×Dic146C2411yescharacteristic
505Q8×D73—44no—
506Q8×D73—41no—
507Q8×D73—41no—
508C2×D292—21no—
509C2×D292C2411yescharacteristic
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—21no—
519C2×C22⋊D73—44no—
520C2×C22⋊D73C2×D411yescharacteristic
521C2×C22⋊D73C2×D411yescharacteristic
522D4×D73—41no—
523D4×D73—41no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73C2×D411yescharacteristic
527C22×Dic73C2×D411yescharacteristic
528C22×Dic73C2×D411yescharacteristic
529C22×Dic73C2×D411yescharacteristic
530C2×C4×D73—21no—
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×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73C2×D411yescharacteristic
541C2×C4×D73C2×D411yescharacteristic
542C2×C4×D73C2411yescharacteristic
543Dic292—41no—
544Dic292—41no—
545Dic292—41no—
546Dic292—41no—
547#11924018—41no—
548#11924018—41no—
549#11924018—41no—
550#11924018—41no—
551#11924017—22no—
552#11924017—22no—
553#11924017—41no—
554#11924017—41no—
555#11924016—41no—
556#11924016—41no—
557#11924016—41no—
558#11924016—41no—
559#11924015—22no—
560#11924015—41no—
561D584—22no—
562#11924013—22no—
563#11924013—22no—
564#11924012—41no—
565#11924011—41no—
566#11924011—41no—
567C2×#10596831—41no—
568C2×#10596831C2411yescharacteristic
569C2×#10596831C2411yescharacteristic
570C2×#10596831C2411yescharacteristic
571C2×#10596831C2411yescharacteristic
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73C2×D411yescharacteristic
581C4⋊Dic73C2411yescharacteristic
582C4⋊Dic73C2411yescharacteristic
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#11924007C2×D411yescharacteristic
602#11924007C2×D411yescharacteristic
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73C2×D411yescharacteristic
619C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005C2×D411yescharacteristic
635#11924005C2×D411yescharacteristic
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×Dic73—21no—
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2411yescharacteristic
652C4×Dic73C2411yescharacteristic
653C4×Dic73C2411yescharacteristic
654C24×C73—21no—
655#41×C73—41no—
656#41×C73—41no—
657C2×Q8×C73—21no—
658C2×Q8×C73C2411yescharacteristic
659C2×Q8×C73C2411yescharacteristic
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—41no—
664C2×D4×C73—41no—
665C2×D4×C73C2×D411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73C2411yescharacteristic
671C22×C4×C73C2411yescharacteristic
672Q16×C73—41no—
673SD16×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×C73C2×D411yescharacteristic
687C4⋊C4×C73C2411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
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—
699C22⋊C4×C73—21no—
700C22⋊C4×C73C2×D411yescharacteristic
701C22⋊C4×C73C2×D411yescharacteristic
702C42×C73—21no—
703C42×C73—21no—
704C42×C73—21no—
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—42no—
709C23×C73—81no—
710C23×C73—81no—
711C23×C73C22×D411yescharacteristic
712C23×C73C22×D411yescharacteristic
713C22×D73—21no—
714C22×D73—21no—
715C22×D73—42no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73C22×D411yescharacteristic
719Q8×C73—21no—
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723Q8×C73—42no—
724D4×C73—21no—
725D4×C73—21no—
726D4×C73—21no—
727D4×C73—21no—
728D4×C73—41no—
729D4×C73—81no—
730D4×C73—81no—
731D4×C73—81no—
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—21no—
742C2×C4×C73—81no—
743C2×C4×C73—81no—
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C2511yescharacteristic
749C22⋊D73—22no—
750C22⋊D73—41no—
751C22⋊D73—42no—
752C22⋊D73—42no—
753C22⋊D73—42no—
754C22⋊D73—42no—
755C22⋊D73—42no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C2×Dic73—22no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—41no—
767C2×Dic73—41no—
768C2×Dic73—41no—
769C2×Dic73—42no—
770C2×Dic73—81no—
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776C2×Dic73C22×D411yescharacteristic
777C2×Dic73C22×D411yescharacteristic
778D292—21no—
779D292—21no—
780D292—21no—
781D292—42no—
782D292H(5,𝔽2)12yes—
783C4×D73—21no—
784C4×D73—21no—
785C4×D73—41no—
786C4×D73—41no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—42no—
791C4×D73—42no—
792C4×D73—42no—
793C4×D73—42no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797Dic146—22no—
798Dic146—21no—
799Dic146—21no—
800Dic146—21no—
801Dic146—21no—
802Dic146—21no—
803Dic146—21no—
804Dic146—21no—
805Dic146—21no—
806Dic146—42no—
807Dic146—42no—
808Dic146—81no—
809Dic146—81no—
810C8×C73—21no—
811C8×C73—21no—
812C8×C73—21no—
813C8×C73—21no—
814#10596831—21no—
815#10596831—21no—
816#10596831—21no—
817#10596831—21no—
818C22×C73—21no—
819C22×C73—21no—
820C22×C73—21no—
821C22×C73—21no—
822C22×C73—21no—
823C22×C73—21no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—162no—
831C22×C73C23×D411yescharacteristic
832C2×D73—21no—
833C2×D73—21no—
834C2×D73—22no—
835C2×D73—21no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—162no—
842C4×C73—21no—
843C4×C73—21no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—41no—
847C4×C73—41no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73C2×H(5,𝔽2)11yescharacteristic
853C4×C73#58511yescharacteristic
854Dic73—21no—
855Dic73—21no—
856Dic73—21no—
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—41no—
861Dic73—41no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73#57512yes—
867#61973—731nomaximal, Sylow
868C2×C73—41no—
869C2×C73—41no—
870C2×C73—81no—
871C2×C73—81no—
872C2×C73#348811yescharacteristic
873C2×C73C2×#57511yescharacteristic
874C2×C73#358611yescharacteristic
875D73—41no—
876D73—42no—
877D73—81no—
878#3514—731no—
879#3482—731no—
880#3400—731no—
881#3398—731no—
882#3373—731no—
883#3367—731no—
884#3328—731no—
885#3324—731no—
886#3313—731no—
887#3313—731no—
888#3311—731no—
889#3311D7311yescharacteristic, complemented
890#3276—731no—
891#3272—731no—
892#3269—731no—
893#3269—731no—
894#3267—731no—
895#3267—731no—
896#3252—731no—
897#3252—731no—
898#3248—731no—
899#3215—731no—
900#3215—731no—
901#3210—731no—
902#3111—731no—
903#3111—731no—
904#3102—731no—
905#3040—731no—
906#3040—731no—
907#3035—731no—
908#2989—731no—
909C73#6197311yescharacteristic, complemented, Sylow
910C2×#137—731no—
911C2×#137—731no—
912C2×AGL(1,ℤ/8)—731no—
913C2×AGL(1,ℤ/8)—731no—
914C2×#135—731no—
915C2×#135—731no—
916#559—731no—
917#557—731no—
918#556—731no—
919#556—731no—
920#556—731no—
921#556C2×D7311yescharacteristic, complemented
922#555—1461no—
923#552—1461no—
924#552—1461no—
925#552—1461no—
926#551—1461no—
927#551—1461no—
928D4×Q8—731no—
929D4×Q8—731no—
930#548—731no—
931#548—731no—
932#548—1461no—
933#547—731no—
934#547—731no—
935#547—731no—
936#546—731no—
937#546—1461no—
938#546C2×D7311yescharacteristic
939D42—731no—
940#542—1461no—
941#538—1461no—
942#538—1461no—
943#533—731no—
944#533—731no—
945#533—731no—
946#532—731no—
947#529—731no—
948#529—731no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952#529—1461no—
953C2×#124—731no—
954C2×#124—731no—
955#518—1461no—
956C4×#41—731no—
957C4×#41—731no—
958C4×#41—731no—
959C4×#41—731no—
960C2×C4×Q8—1461no—
961#497—731no—
962#497—731no—
963#497—731no—
964#497—731no—
965#494—731no—
966#492—731no—
967#489—731no—
968#489—731no—
969#489—731no—
970#489C2×D7311yescharacteristic
971#487—731no—
972#486—731no—
973#485—731no—
974#485—731no—
975#485C2×D7311yescharacteristic, complemented
976#482—731no—
977#482—731no—
978#482C2×D7311yescharacteristic
979#479—731no—
980#479—731no—
981#479—731no—
982#478—731no—
983#477—731no—
984#477—731no—
985#476—731no—
986#476C2×D7311yescharacteristic, complemented
987#475—731no—
988#474—731no—
989#470—731no—
990#470—731no—
991#470—731no—
992#470C2×D7311yescharacteristic, complemented
993#468—731no—
994#468—731no—
995#468—731no—
996#468—731no—
997#467—731no—
998#467—731no—
999#465—731no—
1000#465C2×D7311yescharacteristic
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#464C2×D7311yescharacteristic
1014#463—731no—
1015#463—731no—
1016#463—731no—
1017#463—731no—
1018#463—731no—
1019#463—731no—
1020#463—731no—
1021#462—731no—
1022#462—731no—
1023#462—731no—
1024#462—731no—
1025#461—731no—
1026#461—731no—
1027#461—731no—
1028#461—731no—
1029#460—731no—
1030#459—731no—
1031#452—731no—
1032#452—731no—
1033#452—731no—
1034#452—731no—
1035#452—731no—
1036#452—731no—
1037#452C2×D7311yescharacteristic, complemented
1038#451—731no—
1039#451—731no—
1040#451—731no—
1041#451—731no—
1042#450—731no—
1043#450—731no—
1044#450—731no—
1045#450C2×D7311yescharacteristic
1046#449—731no—
1047#449—731no—
1048#449—731no—
1049#446—731no—
1050#446—731no—
1051#442—731no—
1052#442—731no—
1053#441—731no—
1054#441—731no—
1055#440—731no—
1056#440—731no—
1057#440—731no—
1058#440C2×D7311yescharacteristic, complemented
1059C4×Q16—731no—
1060C4×SD16—731no—
1061C4×SD16—731no—
1062C4×D8—731no—
1063#436—731no—
1064#436—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#435C2×D7311yescharacteristic, complemented
1069#432—731no—
1070#432—731no—
1071#431—731no—
1072#423—731no—
1073#423—731no—
1074C2×C4⋊C8—731no—
1075#419—731no—
1076#419—731no—
1077#418—731no—
1078#418C2×D7311yescharacteristic
1079#416—731no—
1080#416C2×D7311yescharacteristic, complemented
1081C2×#41—731no—
1082C2×#41—731no—
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—731no—
1086C2×#41C22×D7311yescharacteristic
1087C22×Q8—731no—
1088C22×Q8—731no—
1089C22×Q8—1461no—
1090C22×D4—731no—
1091C22×D4—1461no—
1092C22×D4C22×D7311yescharacteristic
1093#137—2922no—
1094#137—2922no—
1095AGL(1,ℤ/8)—2922no—
1096AGL(1,ℤ/8)—2922no—
1097#135—2922no—
1098#135—2922no—
1099C2×Q16—731no—
1100C2×Q16—731no—
1101C2×Q16—731no—
1102C2×Q16—731no—
1103C2×Q16—731no—
1104C2×Q16—731no—
1105C2×Q16—731no—
1106C2×Q16—731no—
1107C2×Q16C22×D7311yescharacteristic
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×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16C22×D7311yescharacteristic
1119C2×SD16C22×D7311yescharacteristic
1120C2×D8—731no—
1121C2×D8—731no—
1122C2×D8—731no—
1123C2×M16—731no—
1124C2×M16—731no—
1125C2×M16—731no—
1126C2×M16C22×D7311yescharacteristic
1127C22×C8—731no—
1128C22×C8C22×D7311yescharacteristic
1129C4⋊Q8—731no—
1130C4⋊Q8—731no—
1131C4⋊Q8—731no—
1132C4⋊Q8—731no—
1133C4⋊Q8—731no—
1134C4⋊Q8—731no—
1135C4⋊Q8—1461no—
1136C4⋊Q8C22×D7311yescharacteristic
1137#127—731no—
1138#126—21no—
1139#126—21no—
1140#126—1461no—
1141#126—1461no—
1142#126—1461no—
1143#126—1461no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#126—1461no—
1148#126—1461no—
1149#125—731no—
1150#125—1461no—
1151#125—1461no—
1152#125—1461no—
1153#125—1461no—
1154#125—1461no—
1155#125—1461no—
1156#124—21no—
1157#124—731no—
1158#124—731no—
1159#124—731no—
1160#124—731no—
1161#124—731no—
1162#124—731no—
1163#124—1461no—
1164#124—1461no—
1165#124—1461no—
1166#124—1461no—
1167#124—1461no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#124C22×D7311yescharacteristic
1173#123—21no—
1174#123—1461no—
1175#123—1461no—
1176#123—1461no—
1177#123—1461no—
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186C22⋊Q8—731no—
1187C22⋊Q8—731no—
1188C22⋊Q8—731no—
1189C22⋊Q8—731no—
1190C22⋊Q8—731no—
1191C22⋊Q8—731no—
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⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8C22×D7311yescharacteristic
1204C22⋊Q8C22×D7311yescharacteristic
1205C22⋊Q8C22×D7311yescharacteristic
1206#121—21no—
1207#121—731no—
1208#121—731no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121C22×D7311yescharacteristic
1219#120—21no—
1220#120—1461no—
1221#120—1461no—
1222#120—1461no—
1223C4×Q8—21no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—731no—
1227C4×Q8—731no—
1228C4×Q8—731no—
1229C4×Q8—731no—
1230C4×Q8—731no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—1461no—
1235C4×Q8—1461no—
1236C4×Q8—1461no—
1237C4×Q8—1461no—
1238C4×Q8—1461no—
1239C4×Q8—1461no—
1240C4×Q8C22×D7311yescharacteristic
1241C4×D4—731no—
1242C4×D4—731no—
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—
1267C4×D4C22×D7311yescharacteristic
1268C4×D4C22×D7311yescharacteristic
1269#117—731no—
1270#117—731no—
1271#117—731no—
1272#117—731no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117—1461no—
1277#117—1461no—
1278#117—1461no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117C22×D7311yescharacteristic
1284#117C22×D7311yescharacteristic
1285C2×C4⋊C4—1461no—
1286C2×C4⋊C4—1461no—
1287C2×C4⋊C4—1461no—
1288C2×C22⋊C4—21no—
1289C2×C22⋊C4—1461no—
1290C2×C22⋊C4—1461no—
1291C2×C22⋊C4—1461no—
1292C2×C22⋊C4—1461no—
1293C2×C22⋊C4—1461no—
1294C2×C42—731no—
1295C2×C42—731no—
1296C2×C42—731no—
1297C2×C42—1461no—
1298C2×C42—1461no—
1299C2×C42—1461no—
1300#107—731no—
1301#107—731no—
1302#107—731no—
1303#107C22×D7311yescharacteristic
1304#106—731no—
1305#106—731no—
1306#106C22×D7311yescharacteristic
1307#106C22×D7311yescharacteristic
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313C4⋊C8—731no—
1314C4⋊C8—731no—
1315C4⋊C8—731no—
1316C4⋊C8—731no—
1317C4⋊C8C22×D7311yescharacteristic
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#103—731no—
1330#103—731no—
1331#103—731no—
1332#103C22×D7311yescharacteristic
1333#103C22×D7311yescharacteristic
1334#103C22×D7311yescharacteristic
1335#103C22×D7311yescharacteristic
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102C22×D7311yescharacteristic
1345#102C22×D7311yescharacteristic
1346#102C22×D7311yescharacteristic
1347#102C22×D7311yescharacteristic
1348#102C22×D7311yescharacteristic
1349#102C22×D7311yescharacteristic
1350C22⋊C8—731no—
1351C22⋊C8—731no—
1352C22⋊C8—731no—
1353C22⋊C8—731no—
1354C22⋊C8C22×D7311yescharacteristic
1355C22⋊C8C22×D7311yescharacteristic
1356#97—731no—
1357#97—731no—
1358#97—731no—
1359#97C22×D7311yescharacteristic
1360C4×C8—731no—
1361C4×C8—731no—
1362C24—21no—
1363C24—1461no—
1364#41—41no—
1365#41—41no—
1366#41—2921no—
1367#41—2921no—
1368#41—2921no—
1369#41—2921no—
1370#41—2922no—
1371#41—2921no—
1372#41—1462no—
1373#41—1462no—
1374#41—1462no—
1375C2×Q8—21no—
1376C2×Q8—2921no—
1377C2×Q8—2921no—
1378C2×Q8—2924no—
1379C2×Q8—2921no—
1380C2×Q8—2921no—
1381C2×Q8—731no—
1382C2×Q8—731no—
1383C2×Q8—731no—
1384C2×Q8—731no—
1385C2×Q8—731no—
1386C2×Q8—1461no—
1387C2×Q8—1461no—
1388C2×Q8—1461no—
1389C2×Q8—1461no—
1390C2×Q8C23×D7311yescharacteristic
1391C2×Q8C23×D7311yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—41no—
1396C2×D4—41no—
1397C2×D4—2924no—
1398C2×D4—2921no—
1399C2×D4—2921no—
1400C2×D4—731no—
1401C2×D4—731no—
1402C2×D4—731no—
1403C2×D4—731no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4D4×D7311yescharacteristic
1414C2×D4C23×D7311yescharacteristic
1415C2×D4C23×D7311yescharacteristic
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—731no—
1419C22×C4—731no—
1420C22×C4—731no—
1421C22×C4—731no—
1422C22×C4—731no—
1423C22×C4—731no—
1424C22×C4—731no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4C23×D7311yescharacteristic
1438C22×C4C23×D7311yescharacteristic
1439Q16—41no—
1440Q16—2921no—
1441Q16—2921no—
1442Q16—2921no—
1443Q16—2921no—
1444Q16—2921no—
1445Q16—2921no—
1446Q16—2921no—
1447Q16—2921no—
1448SD16—41no—
1449SD16—41no—
1450SD16—2921no—
1451SD16—2921no—
1452SD16—2921no—
1453SD16—2921no—
1454SD16—2921no—
1455SD16—2921no—
1456SD16—2921no—
1457SD16—1462no—
1458SD16—1462no—
1459SD16—1462no—
1460D8—1462no—
1461D8—1462no—
1462D8—1462no—
1463M16—41no—
1464M16—2921no—
1465M16—2921no—
1466M16—2921no—
1467C2×C8—41no—
1468C2×C8—2921no—
1469C2×C8—731no—
1470C2×C8—731no—
1471C2×C8—731no—
1472C2×C8—731no—
1473C2×C8C23×D7311yescharacteristic
1474C2×C8C23×D7311yescharacteristic
1475C2×C8C23×D7311yescharacteristic
1476C2×C8C23×D7311yescharacteristic
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
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—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—731no—
1530C22⋊C4—731no—
1531C22⋊C4—731no—
1532C22⋊C4—731no—
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⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4D4×D7311yescharacteristic
1561C22⋊C4D4×D7311yescharacteristic
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—731no—
1566C42—731no—
1567C42—731no—
1568C42—731no—
1569C42—731no—
1570C42—731no—
1571C42—731no—
1572C42—731no—
1573C42—731no—
1574C42—1461no—
1575C42—1461no—
1576C42—1461no—
1577C42—1461no—
1578C42—1461no—
1579C42—1461no—
1580C42—1461no—
1581C42—1461no—
1582C42—1461no—
1583C42C23×D7311yescharacteristic
1584C23—21no—
1585C23—21no—
1586C23—42no—
1587C23—81no—
1588C23—81no—
1589C23—2922no—
1590C23—5841no—
1591C23—5841no—
1592C23—731no—
1593C23—1461no—
1594C23—1461no—
1595C23C2×D4×D7311yescharacteristic
1596C23C2×D4×D7311yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—42no—
1602Q8—2922no—
1603Q8—2922no—
1604Q8—5841no—
1605Q8—5841no—
1606Q8—1462no—
1607Q8—1461no—
1608Q8—1461no—
1609Q8—1461no—
1610Q8—1461no—
1611Q8—1461no—
1612Q8—1461no—
1613Q8—1461no—
1614Q8—1461no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—41no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—2922no—
1624D4—2922no—
1625D4—2922no—
1626D4—2922no—
1627D4—2922no—
1628D4—2922no—
1629D4—2921no—
1630D4—5841no—
1631D4—5841no—
1632D4—5841no—
1633D4—732no—
1634D4—1462no—
1635D4—1461no—
1636D4—1461no—
1637D4—1461no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—2922no—
1651C2×C4—2922no—
1652C2×C4—2922no—
1653C2×C4—2921no—
1654C2×C4—2921no—
1655C2×C4—2922no—
1656C2×C4—2922no—
1657C2×C4—2922no—
1658C2×C4—2922no—
1659C2×C4—2922no—
1660C2×C4—2921no—
1661C2×C4—2921no—
1662C2×C4—2921no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—5841no—
1666C2×C4—5841no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—731no—
1672C2×C4—731no—
1673C2×C4—731no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4—1462no—
1681C2×C4—1461no—
1682C2×C4—1461no—
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C2×D4×D7311yescharacteristic
1685C2×C4C2×D4×D7311yescharacteristic
1686C2×C4C2×D4×D7311yescharacteristic
1687C2×C4C24×D7311yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—1461no—
1693C8—1461no—
1694C8—1461no—
1695C8—1461no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—162no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—2921no—
1714C22—11682no—
1715C22—1462no—
1716C22—1461no—
1717C22—1461no—
1718C22—1461no—
1719C22C22×D4×D7311yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—2921no—
1731C4—2921no—
1732C4—2921no—
1733C4—2921no—
1734C4—2921no—
1735C4—2921no—
1736C4—732no—
1737C4—1461no—
1738C4—1461no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4H(5,𝔽2)×D7311yescharacteristic
1744C4#1798942311yescharacteristic
1745C2—41no—
1746C2—41no—
1747C2—81no—
1748C2—81no—
1749C2—2922no—
1750C2—2921no—
1751C2—5841no—
1752C2#2262359411yescharacteristic
1753C2#575×D7311yescharacteristic
1754C2#2262471311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3311C2
socleC22×C73C23×D4
hypercenter#3311D73
hypocenterC73#61973
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3311

Complements

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

NH ≅ G/Ntype
1. #22623889C2semidirect
2. #22623550C2semidirect
3. #22622985C2semidirect
4. #22622965C2semidirect
5. #22622726C2semidirect
6. #22622646C2semidirect
7. #22622212C2semidirect
8. #22622158C2semidirect
9. #22621993C2semidirect
10. #22621991C2semidirect
11. #22621965C2semidirect
12. #22621574C2semidirect
13. #22621529C2semidirect
14. #22621491C2semidirect
15. #22621479C2semidirect
16. #22621453C2semidirect
17. #22621452C2semidirect
18. #22621306C2semidirect
19. #22621299C2semidirect
20. #22621261C2semidirect
21. #22620935C2semidirect
22. #22620931C2semidirect
23. #22620885C2semidirect
24. #22620043C2semidirect
25. #22620038C2semidirect
26. #22619944C2semidirect
27. #22619424C2semidirect
28. #22619422C2semidirect
29. #22619384C2semidirect
30. #22619043C2semidirect
31. C73×#3311C2semidirect
32. C2×#14556624C22semidirect
33. C2×#14556623C22semidirect
36. C2×#14556613C22semidirect
37. C2×#14556611C22semidirect
39. #17989315C22semidirect
42. #17989305C22semidirect
49. #17989252C22semidirect
54. #17989242C22semidirect
56. #17989239C22semidirect
63. #17989142C22semidirect
64. #17989139C22semidirect
65. #17989139C22semidirect
76. C4×#11924029C22semidirect
77. #17989055C22semidirect
78. #17989055C22semidirect
82. #17988981C22semidirect
84. #17988978C22semidirect
85. #17988965C22semidirect
87. #17988949C22semidirect
89. #17988945C22semidirect
90. #17988936C22semidirect
92. #17988930C22semidirect
93. #17988928C22semidirect
96. #17988897C22semidirect
97. #17988897C22semidirect
98. #17988896C22semidirect
99. #17988890C22semidirect
100. #17988880C22semidirect
101. #17988879C22semidirect
102. #17988876C22semidirect
103. #17988871C22semidirect
105. #17988846C22semidirect
106. #17988846C22semidirect
107. #17988843C22semidirect
112. #17988828C22semidirect
113. #17988826C22semidirect
115. #17988812C22semidirect
116. #17988812C22semidirect
117. #17988811C22semidirect
118. #17988809C22semidirect
122. #17988808C22semidirect
123. #17988808C22semidirect
124. #17988808C22semidirect
126. #17988807C22semidirect
127. #17988805C22semidirect
128. #17988803C22semidirect
131. #17988801C22semidirect
132. #17988801C22semidirect
134. #17988798C22semidirect
135. #17988796C22semidirect
136. #17988796C22semidirect
137. #17988795C22semidirect
138. #17988792C22semidirect
139. #17988791C22semidirect
140. #17988791C22semidirect
144. #17988752C22semidirect
145. #17988751C22semidirect
146. #17988751C22semidirect
147. #17988749C22semidirect
148. #17988747C22semidirect
149. #17988747C22semidirect
150. #17988745C22semidirect
151. #17988744C22semidirect
152. #17988744C22semidirect
153. #17988742C22semidirect
160. #17988716C22semidirect
161. #17988715C22semidirect
162. #17988698C22semidirect
163. #17988697C22semidirect
164. #17988692C22semidirect
165. #17988691C22semidirect
166. #17988690C22semidirect
167. #17988689C22semidirect
168. #17988686C22semidirect
169. #17988681C22semidirect
171. #17988674C22semidirect
175. #17988659C22semidirect
176. #17988658C22semidirect
177. #17988655C22semidirect
178. #17988642C22semidirect
179. #17988641C22semidirect
180. #17988637C22semidirect
181. #17988610C22semidirect
182. #17988609C22semidirect
183. C2×#14556520C22semidirect
184. #17988595C22semidirect
185. #17988594C22semidirect
187. #17988581C22semidirect
188. #556×C73C22semidirect
191. #485×C73C22semidirect
193. #476×C73C22semidirect
194. #470×C73C22semidirect
197. #452×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
202. #416×C73C22semidirect
889. #3311D73semidirect
909. C73#61973semidirect
921. #556C2×D73semidirect
975. #485C2×D73semidirect
986. #476C2×D73semidirect
992. #470C2×D73semidirect
1037. #452C2×D73semidirect
1058. #440C2×D73semidirect
1068. #435C2×D73semidirect
1080. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238892
#226235502
#226229852
#226229652
#226227262
#226226462
#226222122
#226221582
#226219932
#226219912
#226219652
#226215742
#226215292
#226214912
#226214792
#226214532
#226214522
#226213062
#226212992
#226212612
#226209352
#226209312
#226208852
#226200432
#226200382
#226199442
#226194242
#226194222
#226193842
#226190432
C73×#33112
#6197373