Finite Group Databasebeta

← #33978624

Subgroups — #33978624

Order 18688.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1802 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623885C211yesmaximal, characteristic, complemented
2#22623554C211yesmaximal, characteristic, complemented
3#22622970C211yesmaximal, characteristic, complemented
4#22622946C211yesmaximal, characteristic, complemented
5#22622740C211yesmaximal, characteristic, complemented
6#22622672C211yesmaximal, characteristic, complemented
7#22622218C211yesmaximal, characteristic, complemented
8#22622168C211yesmaximal, characteristic, complemented
9#22622123C211yesmaximal, characteristic, complemented
10#22622117C211yesmaximal, characteristic, complemented
11#22622091C211yesmaximal, characteristic, complemented
12#22622089C211yesmaximal, characteristic, complemented
13#22621591C211yesmaximal, characteristic, complemented
14#22621544C211yesmaximal, characteristic, complemented
15#22621520C211yesmaximal, characteristic, complemented
16#22621472C211yesmaximal, characteristic, complemented
17#22621471C211yesmaximal, characteristic, complemented
18#22621291C211yesmaximal, characteristic, complemented
19#22621286C211yesmaximal, characteristic, complemented
20#22621252C211yesmaximal, characteristic, complemented
21#22620917C211yesmaximal, characteristic, complemented
22#22620913C211yesmaximal, characteristic, complemented
23#22620862C211yesmaximal, characteristic, complemented
24#22620046C211yesmaximal, characteristic, complemented
25#22620033C211yesmaximal, characteristic, complemented
26#22619950C211yesmaximal, characteristic, complemented
27#22619427C211yesmaximal, characteristic, complemented
28#22619422C211yesmaximal, characteristic, complemented
29#22619382C211yesmaximal, characteristic, complemented
30#22619043C211yesmaximal, characteristic, complemented
31C73×#3271C211yesmaximal, characteristic, complemented
32C2×#14556623C2211yescharacteristic, complemented
33C2×#14556618C2211yescharacteristic
34C2×#14556616C2211yescharacteristic
35C2×#14556611C2211yescharacteristic, complemented
36#17989319C2211yescharacteristic
37Q8×Dic146C2211yescharacteristic, complemented
38#17989309C2211yescharacteristic
39#17989302—21no—
40#17989302C2211yescharacteristic, complemented
41#17989301—21no—
42#17989301—21no—
43#17989301C2211yescharacteristic
44#17989301C2211yescharacteristic, complemented
45#17989299—21no—
46#17989266—21no—
47#17989264—21no—
48#17989257—21no—
49#17989257C2211yescharacteristic, complemented
50#17989256C2211yescharacteristic
51#17989256C2211yescharacteristic, complemented
52Q8×C22⋊D73C2211yescharacteristic
53#17989247C2211yescharacteristic
54#17989233C2211yescharacteristic
55#17989226—21no—
56#17989225C2211yescharacteristic
57#17989221C2211yescharacteristic
58#17989207—21no—
59#17989174—21no—
60#17989171—21no—
61#17989135—21no—
62#17989135C2211yescharacteristic, complemented
63#17989133C2211yescharacteristic
64#17989132—21no—
65#17989132—21no—
66#17989132C2211yescharacteristic, complemented
67#17989132C2211yescharacteristic, complemented
68#17989124C2211yescharacteristic
69#17989123C2211yescharacteristic
70#17989118C2211yescharacteristic
71C2×#14556580C2211yescharacteristic
72#124×D73C2211yescharacteristic
73#17989059—21no—
74#41×Dic73C2211yescharacteristic, complemented
75#41×Dic73C2211yescharacteristic, complemented
76C4×#11924029C2211yescharacteristic, complemented
77C4×#11924027—21no—
78C4×#11924027C2211yescharacteristic
79#17988974C2211yescharacteristic
80#17988973C2211yescharacteristic
81#17988973C2211yescharacteristic, complemented
82#17988962C2211yescharacteristic
83#17988958C2211yescharacteristic, complemented
84#17988948C2211yescharacteristic
85#17988948C2211yescharacteristic, complemented
86#17988947C2211yescharacteristic
87#17988946C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic
90#17988929C2211yescharacteristic, complemented
91#17988926C2211yescharacteristic, complemented
92#17988925C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic
94#17988912C2211yescharacteristic
95#17988908C2211yescharacteristic
96#17988892C2211yescharacteristic, complemented
97#17988886C2211yescharacteristic, complemented
98#17988885C2211yescharacteristic, complemented
99#17988885C2211yescharacteristic, complemented
100#17988880C2211yescharacteristic, complemented
101#17988876C2211yescharacteristic
102#17988872C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988868C2211yescharacteristic, complemented
105#17988865C2211yescharacteristic, complemented
106#17988839C2211yescharacteristic
107#17988839C2211yescharacteristic
108#17988838C2211yescharacteristic
109#17988833C2211yescharacteristic, complemented
110#17988831C2211yescharacteristic, complemented
111#17988830C2211yescharacteristic, complemented
112#17988830C2211yescharacteristic, complemented
113#17988823C2211yescharacteristic
114#17988821C2211yescharacteristic
115#17988818C2211yescharacteristic, complemented
116#17988811C2211yescharacteristic
117#17988811C2211yescharacteristic
118#17988811C2211yescharacteristic, complemented
119#17988811C2211yescharacteristic, complemented
120#17988809C2211yescharacteristic
121#17988807C2211yescharacteristic, complemented
122#17988805C2211yescharacteristic
123#17988805C2211yescharacteristic, complemented
124#17988804C2211yescharacteristic
125#17988804C2211yescharacteristic
126#17988804C2211yescharacteristic
127#17988804C2211yescharacteristic, complemented
128#17988804C2211yescharacteristic, complemented
129#17988804C2211yescharacteristic, complemented
130#17988803C2211yescharacteristic
131#17988801C2211yescharacteristic, complemented
132#17988800C2211yescharacteristic, complemented
133#17988800C2211yescharacteristic, complemented
134#17988799C2211yescharacteristic, complemented
135#17988795C2211yescharacteristic, complemented
136#17988790C2211yescharacteristic, complemented
137#17988786C2211yescharacteristic, complemented
138#17988785C2211yescharacteristic
139#17988785C2211yescharacteristic, complemented
140#17988781C2211yescharacteristic
141#17988780C2211yescharacteristic
142#17988780C2211yescharacteristic, complemented
143#17988779C2211yescharacteristic, complemented
144#17988749C2211yescharacteristic, complemented
145#17988748C2211yescharacteristic, complemented
146#17988735C2211yescharacteristic
147#17988734C2211yescharacteristic, complemented
148#17988732C2211yescharacteristic
149#17988732C2211yescharacteristic, complemented
150#17988730C2211yescharacteristic, complemented
151#17988726C2211yescharacteristic, complemented
152#17988724C2211yescharacteristic, complemented
153#17988724C2211yescharacteristic, complemented
154#17988723C2211yescharacteristic
155#17988720C2211yescharacteristic
156#17988719C2211yescharacteristic
157#17988719C2211yescharacteristic
158#17988716C2211yescharacteristic, complemented
159#17988715C2211yescharacteristic, complemented
160#17988700C2211yescharacteristic, complemented
161#17988699C2211yescharacteristic, complemented
162#17988691C2211yescharacteristic, complemented
163#17988688C2211yescharacteristic, complemented
164#17988685C2211yescharacteristic, complemented
165#17988685C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic, complemented
167Q16×Dic73C2211yescharacteristic, complemented
168SD16×Dic73C2211yescharacteristic, complemented
169#17988672C2211yescharacteristic
170#17988667C2211yescharacteristic
171#17988663C2211yescharacteristic
172#17988662C2211yescharacteristic
173#17988659C2211yescharacteristic, complemented
174#17988658C2211yescharacteristic, complemented
175#17988655C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic, complemented
179#17988610C2211yescharacteristic, complemented
180#17988609C2211yescharacteristic, complemented
181C2×#14556520C2211yescharacteristic, complemented
182#17988596C2211yescharacteristic, complemented
183#17988594C2211yescharacteristic, complemented
184#17988593C2211yescharacteristic
185#17988590C2211yescharacteristic
186#17988584C2211yescharacteristic, complemented
187#17988583C2211yescharacteristic, complemented
188C2×#137×C73C2211yescharacteristic, complemented
189C2×#135×C73C2211yescharacteristic, complemented
190#550×C73C2211yescharacteristic, complemented
191#548×C73C2211yescharacteristic
192#496×C73C2211yescharacteristic, complemented
193#469×C73C2211yescharacteristic
194#465×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic
199#449×C73C2211yescharacteristic, complemented
200#448×C73C2211yescharacteristic, complemented
201#441×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924027—21no—
206C2×#11924027—21no—
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027D411yescharacteristic
210C2×Q8×D73C2311yescharacteristic
211C22×D292C2311yescharacteristic
212C2×D4×D73—21no—
213C2×D4×D73C2311yescharacteristic
214#14556623—42no—
215#14556618—42no—
216#14556616—42no—
217#14556611—42no—
218C2×#11924018C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×D584C2311yescharacteristic
227C2×D584C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924012C2311yescharacteristic
234C2×#11924011C2311yescharacteristic
235C2×#11924011C2311yescharacteristic
236C22×#10596831C2311yescharacteristic
237#14556591—21no—
238#14556591C2311yescharacteristic
239#14556590—21no—
240#14556590—21no—
241#14556590C2311yescharacteristic
242#14556590C2311yescharacteristic
243#14556589—21no—
244#14556589C2311yescharacteristic
245#14556587—21no—
246#14556587—21no—
247#14556587C2311yescharacteristic
248#14556587C2311yescharacteristic
249#14556587C2311yescharacteristic
250#14556586—21no—
251#14556586—21no—
252#14556586—21no—
253#14556585—21no—
254#14556584—21no—
255#14556582C2311yescharacteristic
256#14556580—21no—
257#14556580—21no—
258#14556580C2311yescharacteristic
259#14556580C2311yescharacteristic
260#14556580C2311yescharacteristic
261#14556580C2311yescharacteristic
262#14556579C2311yescharacteristic
263#14556578—21no—
264#14556578—21no—
265#14556578—21no—
266#14556578C2311yescharacteristic
267#14556577—21no—
268#14556577—21no—
269#14556577—21no—
270#14556577—21no—
271#14556577—21no—
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556577—21no—
276#14556577—21no—
277#14556576—21no—
278#14556576—21no—
279#14556575—21no—
280#14556575—21no—
281#14556574—21no—
282#14556573—21no—
283#14556572—21no—
284#14556570—21no—
285#14556570C2311yescharacteristic
286#14556569—21no—
287#14556569—21no—
288#14556567—21no—
289#14556567C2311yescharacteristic
290#14556566C2311yescharacteristic
291#14556565—21no—
292#14556565—21no—
293#14556565C2311yescharacteristic
294#14556565C2311yescharacteristic
295#14556565C2311yescharacteristic
296#14556564—21no—
297#14556564—21no—
298#14556564—21no—
299#14556563—21no—
300#14556563—21no—
301#14556563—21no—
302#14556563—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556562—21no—
309#14556562—21no—
310#14556562—21no—
311#14556562—21no—
312#14556562—21no—
313#14556562C2311yescharacteristic
314#14556562C2311yescharacteristic
315#14556561—21no—
316#14556559—21no—
317#14556559—21no—
318#14556559—21no—
319Q8×Dic73C2311yescharacteristic
320Q8×Dic73C2311yescharacteristic
321Q8×Dic73C2311yescharacteristic
322Q8×Dic73C2311yescharacteristic
323C4×Dic146—21no—
324C4×Dic146C2311yescharacteristic
325#14556556D411yescharacteristic
326#14556556C2311yescharacteristic
327C4×D292—21no—
328C4×D292—21no—
329C4×D292C2311yescharacteristic
330C4×D292C2311yescharacteristic
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73—21no—
336D4×Dic73—21no—
337D4×Dic73D411yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343#14556553—21no—
344#14556553—21no—
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73C2311yescharacteristic
353C4×C22⋊D73C2311yescharacteristic
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551D411yescharacteristic
359#14556551D411yescharacteristic
360#14556550—21no—
361#14556550—21no—
362#14556550C2311yescharacteristic
363#14556550C2311yescharacteristic
364#14556549—21no—
365#14556549—21no—
366#14556549—21no—
367#14556549D411yescharacteristic
368#14556549C2311yescharacteristic
369#14556548—21no—
370#14556548—21no—
371#14556547—21no—
372#14556547—21no—
373#14556547—21no—
374#14556547D411yescharacteristic
375#14556547D411yescharacteristic
376C2×#11924005—21no—
377C2×#11924005—21no—
378C2×#11924005—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C2×C4×Dic73—21no—
383C2×C4×Dic73—21no—
384C2×C4×Dic73C2311yescharacteristic
385C2×C4×Dic73C2311yescharacteristic
386C42×D73—21no—
387C42×D73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C22×Q8×C73C2311yescharacteristic
443#137×C73—42no—
444#135×C73—42no—
445C2×Q16×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456#127×C73—21no—
457#127×C73C2311yescharacteristic
458#124×C73—21no—
459#124×C73C2311yescharacteristic
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73C2311yescharacteristic
462#121×C73—21no—
463#121×C73—21no—
464#121×C73—21no—
465#121×C73C2311yescharacteristic
466#121×C73C2311yescharacteristic
467#121×C73C2311yescharacteristic
468C4×Q8×C73C2311yescharacteristic
469C4×Q8×C73C2311yescharacteristic
470C4×D4×C73—21no—
471C4×D4×C73—21no—
472C4×D4×C73C2311yescharacteristic
473#106×C73C2311yescharacteristic
474C4⋊C8×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#11924029—22no—
487#11924029—41no—
488#11924028—41no—
489#11924028—41no—
490#11924027—42no—
491#11924027—44no—
492#11924027—82no—
493#11924027—82no—
494#11924027—82no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146C2×D411yescharacteristic
500C2×Dic146C2411yescharacteristic
501Q8×D73—41no—
502Q8×D73—41no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—41no—
507C2×D292—41no—
508C2×D292C2411yescharacteristic
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—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73C2×D411yescharacteristic
525C2×C22⋊D73C2×D411yescharacteristic
526D4×D73—41no—
527D4×D73—41no—
528D4×D73—44no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73—21no—
534C22×Dic73C2×D411yescharacteristic
535C22×Dic73C2×D411yescharacteristic
536C22×Dic73C2×D411yescharacteristic
537C22×Dic73C2×D411yescharacteristic
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73C2×D411yescharacteristic
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2411yescharacteristic
548#11924018—22no—
549#11924017—41no—
550#11924016—41no—
551#11924016—41no—
552#11924015—22no—
553#11924015—22no—
554#11924015—41no—
555#11924015—41no—
556D584—41no—
557D584—41no—
558#11924013—41no—
559#11924013—41no—
560#11924013—41no—
561#11924013—41no—
562#11924013—41no—
563#11924012—41no—
564#11924011—41no—
565#11924011—41no—
566C2×#10596831—41no—
567C2×#10596831C2411yescharacteristic
568C2×#10596831C2411yescharacteristic
569C2×#10596831C2411yescharacteristic
570C2×#10596831C2411yescharacteristic
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73C2×D411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580C4⋊Dic73C2411yescharacteristic
581C4⋊Dic73C2411yescharacteristic
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#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73C2×D411yescharacteristic
607C22⋊Dic73C2×D411yescharacteristic
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
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#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C4×Dic73C2411yescharacteristic
647#41×C73—22no—
648#41×C73—22no—
649#41×C73—41no—
650#41×C73—41no—
651#41×C73—41no—
652#41×C73—41no—
653C2×Q8×C73—21no—
654C2×Q8×C73—41no—
655C2×Q8×C73—41no—
656C2×Q8×C73C2411yescharacteristic
657C2×Q8×C73C2411yescharacteristic
658C2×Q8×C73C2411yescharacteristic
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73—21no—
666C2×D4×C73—21no—
667C2×D4×C73C2×D411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C2×D4×C73C2411yescharacteristic
670C2×D4×C73C2411yescharacteristic
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73—21no—
674C22×C4×C73—21no—
675C22×C4×C73C2411yescharacteristic
676C22×C4×C73C2411yescharacteristic
677Q16×C73—22no—
678Q16×C73—22no—
679SD16×C73—22no—
680SD16×C73—41no—
681SD16×C73—41no—
682SD16×C73—41no—
683SD16×C73—41no—
684D8×C73—41no—
685D8×C73—41no—
686M16×C73—41no—
687C2×C8×C73—41no—
688C2×C8×C73C2411yescharacteristic
689C2×C8×C73C2411yescharacteristic
690C2×C8×C73C2411yescharacteristic
691C2×C8×C73C2411yescharacteristic
692C4⋊C4×C73—21no—
693C4⋊C4×C73—21no—
694C4⋊C4×C73—21no—
695C4⋊C4×C73C2×D411yescharacteristic
696C4⋊C4×C73C2411yescharacteristic
697C4⋊C4×C73C2411yescharacteristic
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73C2×D411yescharacteristic
705C22⋊C4×C73C2×D411yescharacteristic
706C42×C73—21no—
707C42×C73—21no—
708C42×C73C2411yescharacteristic
709C23×C73—21no—
710C23×C73—21no—
711C23×C73—21no—
712C23×C73C22×D411yescharacteristic
713C23×C73C22×D411yescharacteristic
714C22×D73—21no—
715C22×D73—21no—
716C22×D73—21no—
717C22×D73—42no—
718C22×D73—42no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73—81no—
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—21no—
729Q8×C73—81no—
730Q8×C73H(5,𝔽2)12yes—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—21no—
737D4×C73—41no—
738D4×C73—42no—
739D4×C73—42no—
740D4×C73—42no—
741D4×C73—42no—
742D4×C73—81no—
743D4×C73—81no—
744D4×C73—81no—
745D4×C73—81no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—42no—
756C2×C4×C73—42no—
757C2×C4×C73—81no—
758C2×C4×C73—81no—
759C2×C4×C73C22×D411yescharacteristic
760C2×C4×C73C22×D411yescharacteristic
761C2×C4×C73C22×D411yescharacteristic
762C2×C4×C73C22×D411yescharacteristic
763C2×C4×C73C2511yescharacteristic
764C22⋊D73—22no—
765C22⋊D73—41no—
766C22⋊D73—42no—
767C22⋊D73—42no—
768C22⋊D73—42no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C22⋊D73—81no—
772C22⋊D73—81no—
773C22⋊D73—81no—
774C22⋊D73—81no—
775C22⋊D73—81no—
776C22⋊D73—81no—
777C22⋊D73—81no—
778C22⋊D73—81no—
779C2×Dic73—22no—
780C2×Dic73—21no—
781C2×Dic73—21no—
782C2×Dic73—21no—
783C2×Dic73—21no—
784C2×Dic73—21no—
785C2×Dic73—41no—
786C2×Dic73—41no—
787C2×Dic73—41no—
788C2×Dic73—42no—
789C2×Dic73—42no—
790C2×Dic73—42no—
791C2×Dic73—42no—
792C2×Dic73—81no—
793C2×Dic73C22×D411yescharacteristic
794C2×Dic73C22×D411yescharacteristic
795C2×Dic73C22×D411yescharacteristic
796C2×Dic73C22×D411yescharacteristic
797C2×Dic73C22×D411yescharacteristic
798C2×Dic73C22×D411yescharacteristic
799C2×Dic73C22×D411yescharacteristic
800D292—21no—
801D292—21no—
802D292—21no—
803D292—21no—
804D292—21no—
805D292—21no—
806D292—42no—
807D292—42no—
808D292—81no—
809C4×D73—21no—
810C4×D73—21no—
811C4×D73—41no—
812C4×D73—41no—
813C4×D73—42no—
814C4×D73—42no—
815C4×D73—42no—
816C4×D73—42no—
817C4×D73—81no—
818C4×D73—81no—
819C4×D73—81no—
820Dic146—22no—
821Dic146—21no—
822Dic146—21no—
823Dic146—81no—
824Dic146—81no—
825Dic146—81no—
826Dic146—81no—
827C8×C73—21no—
828C8×C73—21no—
829C8×C73—21no—
830C8×C73—21no—
831#10596831—21no—
832#10596831—21no—
833#10596831—21no—
834#10596831—21no—
835C22×C73—21no—
836C22×C73—21no—
837C22×C73—21no—
838C22×C73—21no—
839C22×C73—21no—
840C22×C73—21no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—41no—
844C22×C73—41no—
845C22×C73—41no—
846C22×C73—41no—
847C22×C73—41no—
848C22×C73—41no—
849C22×C73—41no—
850C22×C73C23×D411yescharacteristic
851C2×D73—21no—
852C2×D73—21no—
853C2×D73—21no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—41no—
857C2×D73—41no—
858C2×D73—41no—
859C2×D73—41no—
860C2×D73—41no—
861C2×D73—41no—
862C2×D73—41no—
863C2×D73—162no—
864C2×D73—162no—
865C4×C73—21no—
866C4×C73—22no—
867C4×C73—21no—
868C4×C73—21no—
869C4×C73—21no—
870C4×C73—41no—
871C4×C73—41no—
872C4×C73—41no—
873C4×C73—41no—
874C4×C73C2×H(5,𝔽2)11yescharacteristic
875C4×C73#58511yescharacteristic
876Dic73—21no—
877Dic73—21no—
878Dic73—21no—
879Dic73—21no—
880Dic73—21no—
881Dic73—21no—
882Dic73—41no—
883Dic73—41no—
884Dic73—41no—
885Dic73—41no—
886Dic73—41no—
887Dic73#57512yes—
888#61975—731nomaximal, Sylow
889C2×C73—41no—
890C2×C73—41no—
891C2×C73—81no—
892C2×C73—81no—
893C2×C73—81no—
894C2×C73#348811yescharacteristic
895C2×C73C2×#57511yescharacteristic
896C2×C73#358511yescharacteristic
897D73—41no—
898D73—81no—
899D73—81no—
900D73—81no—
901#3514—731no—
902#3483—731no—
903#3399—731no—
904#3397—731no—
905#3375—731no—
906#3369—731no—
907#3329—731no—
908#3325—731no—
909#3321—731no—
910#3321—731no—
911#3319—731no—
912#3319—731no—
913#3278—731no—
914#3274—731no—
915#3271—731no—
916#3271D7311yescharacteristic, complemented
917#3268—731no—
918#3268—731no—
919#3251—731no—
920#3251—731no—
921#3247—731no—
922#3213—731no—
923#3213—731no—
924#3207—731no—
925#3111—731no—
926#3111—731no—
927#3102—731no—
928#3040—731no—
929#3040—731no—
930#3035—731no—
931#2989—731no—
932C73#6197511yescharacteristic, complemented, Sylow
933C2×#137—731no—
934C2×#137C2×D7311yescharacteristic, complemented
935C2×AGL(1,ℤ/8)—731no—
936C2×AGL(1,ℤ/8)—731no—
937C2×#135—731no—
938C2×#135C2×D7311yescharacteristic, complemented
939#559—731no—
940Q82—731no—
941#556—731no—
942#555—731no—
943#555—731no—
944#555—731no—
945#555—1461no—
946#555—1461no—
947#555—1461no—
948#555—1461no—
949#551—1461no—
950#551—1461no—
951#550—731no—
952#550—731no—
953#550—731no—
954#550—1461no—
955#550C2×D7311yescharacteristic, complemented
956D4×Q8—731no—
957#548—731no—
958#548C2×D7311yescharacteristic
959#546—731no—
960#546—731no—
961#546—1461no—
962D42—731no—
963#542—1461no—
964#538—1461no—
965#538—1461no—
966#532—731no—
967#532—731no—
968#532—731no—
969#532—731no—
970#532—1461no—
971#532—1461no—
972#532—1461no—
973#529—731no—
974#529—731no—
975#529—731no—
976C2×#124—731no—
977C2×#124—731no—
978#518—1461no—
979C4×#41—731no—
980C4×#41—731no—
981C4×#41—731no—
982C4×#41—731no—
983C4×#41—1461no—
984#496—731no—
985#496—731no—
986#496—731no—
987#496C2×D7311yescharacteristic, complemented
988#493—731no—
989#492—731no—
990#489—731no—
991#489—731no—
992#489—731no—
993#489—731no—
994#487—731no—
995#486—731no—
996#485—731no—
997#485—731no—
998#485—731no—
999#482—731no—
1000#482—731no—
1001#482—731no—
1002#479—731no—
1003#478—731no—
1004#478—731no—
1005#478—731no—
1006#477—731no—
1007#476—731no—
1008#475—731no—
1009#475—731no—
1010#474—731no—
1011#474—731no—
1012#469—731no—
1013#469—731no—
1014#469—731no—
1015#469C2×D7311yescharacteristic
1016#468—731no—
1017#468—731no—
1018#468—731no—
1019#468—731no—
1020#466—731no—
1021#466—731no—
1022#465—731no—
1023#465C2×D7311yescharacteristic, complemented
1024#464—731no—
1025#464—731no—
1026#464—731no—
1027#464—731no—
1028#464—731no—
1029#464—731no—
1030#464C2×D7311yescharacteristic, complemented
1031#463—731no—
1032#463—731no—
1033#463—731no—
1034#463—731no—
1035#463—731no—
1036#463—731no—
1037#463—731no—
1038#463—731no—
1039#463—731no—
1040#463—731no—
1041#463—731no—
1042#463—731no—
1043#463—731no—
1044#462—731no—
1045#461—731no—
1046#460—731no—
1047#460—731no—
1048#460—731no—
1049#460C2×D7311yescharacteristic, complemented
1050#459—731no—
1051#459—731no—
1052#459—731no—
1053#459—731no—
1054#452—731no—
1055#452—731no—
1056#452C2×D7311yescharacteristic, complemented
1057#449—731no—
1058#449—731no—
1059#449—731no—
1060#449—731no—
1061#449—731no—
1062#449C2×D7311yescharacteristic
1063#449C2×D7311yescharacteristic, complemented
1064#448—731no—
1065#448—731no—
1066#448—731no—
1067#448C2×D7311yescharacteristic, complemented
1068#447—731no—
1069#447—731no—
1070#447—731no—
1071#447—731no—
1072#446—731no—
1073#446—731no—
1074#442—731no—
1075#442—731no—
1076#441—731no—
1077#441C2×D7311yescharacteristic, complemented
1078#440—731no—
1079#440—731no—
1080#440—731no—
1081#440—731no—
1082C4×Q16—731no—
1083C4×SD16—731no—
1084C4×SD16—731no—
1085C4×D8—731no—
1086#436—731no—
1087#436—731no—
1088#435—731no—
1089#435—731no—
1090#435—731no—
1091#435C2×D7311yescharacteristic, complemented
1092#432—731no—
1093#432—731no—
1094#431—731no—
1095#423—731no—
1096#423—731no—
1097C2×C4⋊C8—731no—
1098#419—731no—
1099#419—731no—
1100#418—731no—
1101#418—731no—
1102#416—731no—
1103#416—731no—
1104C2×#41—731no—
1105C2×#41—731no—
1106C2×#41—731no—
1107C2×#41—1461no—
1108C2×#41—1461no—
1109C2×#41—1461no—
1110C2×#41—1461no—
1111C2×#41C22×D7311yescharacteristic
1112C2×#41C22×D7311yescharacteristic
1113C2×#41C22×D7311yescharacteristic
1114C22×Q8—731no—
1115C22×Q8C22×D7311yescharacteristic
1116C22×D4—731no—
1117C22×D4—731no—
1118C22×D4—1461no—
1119#137—42no—
1120#137—2922no—
1121AGL(1,ℤ/8)—2922no—
1122AGL(1,ℤ/8)—2922no—
1123#135—42no—
1124#135—2922no—
1125C2×Q16—731no—
1126C2×Q16C22×D7311yescharacteristic
1127C2×Q16C22×D7311yescharacteristic
1128C2×SD16—731no—
1129C2×SD16—731no—
1130C2×SD16—731no—
1131C2×SD16—731no—
1132C2×SD16—731no—
1133C2×SD16—731no—
1134C2×SD16—731no—
1135C2×SD16C22×D7311yescharacteristic
1136C2×SD16C22×D7311yescharacteristic
1137C2×SD16C22×D7311yescharacteristic
1138C2×SD16C22×D7311yescharacteristic
1139C2×SD16C22×D7311yescharacteristic
1140C2×D8—731no—
1141C2×D8—731no—
1142C2×D8—731no—
1143C2×D8—731no—
1144C2×D8—731no—
1145C2×D8—731no—
1146C2×D8—731no—
1147C2×D8C22×D7311yescharacteristic
1148C2×D8C22×D7311yescharacteristic
1149C2×M16—731no—
1150C2×M16—731no—
1151C2×M16—731no—
1152C2×M16C22×D7311yescharacteristic
1153C22×C8—731no—
1154C22×C8C22×D7311yescharacteristic
1155C4⋊Q8—731no—
1156C4⋊Q8—731no—
1157C4⋊Q8—731no—
1158C4⋊Q8—731no—
1159C4⋊Q8—1461no—
1160C4⋊Q8—1461no—
1161C4⋊Q8—1461no—
1162C4⋊Q8—1461no—
1163#127—21no—
1164#127—731no—
1165#127—731no—
1166#127—731no—
1167#127—1461no—
1168#127—1461no—
1169#127C22×D7311yescharacteristic
1170#126—1461no—
1171#126—1461no—
1172#126—1461no—
1173#126—1461no—
1174#126—1461no—
1175#125—731no—
1176#124—21no—
1177#124—731no—
1178#124—731no—
1179#124—731no—
1180#124—731no—
1181#124—731no—
1182#124—731no—
1183#124—1461no—
1184#124—1461no—
1185#124—1461no—
1186#124—1461no—
1187#124—1461no—
1188#124—1461no—
1189#124—1461no—
1190#124—1461no—
1191#124—1461no—
1192#124—1461no—
1193#124—1461no—
1194#124—1461no—
1195#124—1461no—
1196#124—1461no—
1197#124—1461no—
1198#124C22×D7311yescharacteristic
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206C22⋊Q8—21no—
1207C22⋊Q8—731no—
1208C22⋊Q8—731no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8—1461no—
1212C22⋊Q8—1461no—
1213C22⋊Q8C22×D7311yescharacteristic
1214#121—21no—
1215#121—21no—
1216#121—21no—
1217#121—731no—
1218#121—731no—
1219#121—731no—
1220#121—731no—
1221#121—731no—
1222#121—731no—
1223#121—1461no—
1224#121—1461no—
1225#121—1461no—
1226#121—1461no—
1227#121—1461no—
1228#121—1461no—
1229#121—1461no—
1230#121—1461no—
1231#121—1461no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121C22×D7311yescharacteristic
1243#121C22×D7311yescharacteristic
1244#121C22×D7311yescharacteristic
1245#120—1461no—
1246#120—1461no—
1247#120—1461no—
1248#120—1461no—
1249C4×Q8—731no—
1250C4×Q8—731no—
1251C4×Q8—731no—
1252C4×Q8—731no—
1253C4×Q8—731no—
1254C4×Q8—731no—
1255C4×Q8—731no—
1256C4×Q8—1461no—
1257C4×Q8C22×D7311yescharacteristic
1258C4×Q8C22×D7311yescharacteristic
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—731no—
1262C4×D4—731no—
1263C4×D4—731no—
1264C4×D4—731no—
1265C4×D4—731no—
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—1461no—
1276C4×D4—1461no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4C22×D7311yescharacteristic
1295#117—731no—
1296#117—731no—
1297#117—731no—
1298#117—731no—
1299#117—731no—
1300#117—731no—
1301#117—1461no—
1302#117—1461no—
1303#117—1461no—
1304#117—1461no—
1305#117—1461no—
1306#117—1461no—
1307#117—1461no—
1308#117—1461no—
1309#117—1461no—
1310#117—1461no—
1311C2×C22⋊C4—1461no—
1312C2×C22⋊C4—1461no—
1313C2×C22⋊C4—1461no—
1314C2×C22⋊C4—1461no—
1315C2×C22⋊C4—1461no—
1316C2×C22⋊C4—1461no—
1317C2×C42—731no—
1318C2×C42—731no—
1319C2×C42—731no—
1320C2×C42—1461no—
1321C2×C42—1461no—
1322C2×C42—1461no—
1323#107—731no—
1324#107—731no—
1325#107—731no—
1326#107—731no—
1327#106—731no—
1328#106—731no—
1329#106—731no—
1330#106C22×D7311yescharacteristic
1331C4⋊C8—731no—
1332C4⋊C8—731no—
1333C4⋊C8—731no—
1334C4⋊C8—731no—
1335C4⋊C8—731no—
1336C4⋊C8—731no—
1337C4⋊C8—731no—
1338C4⋊C8—731no—
1339C4⋊C8—731no—
1340C4⋊C8C22×D7311yescharacteristic
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103—731no—
1345#103—731no—
1346#103—731no—
1347#103—731no—
1348#103—731no—
1349#103—731no—
1350#103—731no—
1351#103—731no—
1352#103C22×D7311yescharacteristic
1353#103C22×D7311yescharacteristic
1354#103C22×D7311yescharacteristic
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102—731no—
1364#102—731no—
1365#102—731no—
1366#102—731no—
1367#102—731no—
1368#102—731no—
1369#102—731no—
1370#102C22×D7311yescharacteristic
1371#102C22×D7311yescharacteristic
1372#102C22×D7311yescharacteristic
1373C22⋊C8—731no—
1374C22⋊C8—731no—
1375C22⋊C8—731no—
1376C22⋊C8—731no—
1377C22⋊C8C22×D7311yescharacteristic
1378C22⋊C8C22×D7311yescharacteristic
1379#97—731no—
1380#97—731no—
1381#97—731no—
1382#97C22×D7311yescharacteristic
1383C4×C8—731no—
1384C4×C8—731no—
1385C24—1461no—
1386C24—1461no—
1387#41—22no—
1388#41—22no—
1389#41—41no—
1390#41—41no—
1391#41—41no—
1392#41—41no—
1393#41—2921no—
1394#41—2921no—
1395#41—2924no—
1396#41—2922no—
1397#41—2921no—
1398#41—5842no—
1399#41—5842no—
1400#41—5842no—
1401#41—1462no—
1402C2×Q8—21no—
1403C2×Q8—41no—
1404C2×Q8—41no—
1405C2×Q8—2921no—
1406C2×Q8—2921no—
1407C2×Q8—731no—
1408C2×Q8—731no—
1409C2×Q8—1461no—
1410C2×Q8—1461no—
1411C2×Q8—1461no—
1412C2×Q8—1461no—
1413C2×Q8C23×D7311yescharacteristic
1414C2×Q8C23×D7311yescharacteristic
1415C2×Q8C23×D7311yescharacteristic
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—2921no—
1425C2×D4—2921no—
1426C2×D4—2924no—
1427C2×D4—2921no—
1428C2×D4—2921no—
1429C2×D4—731no—
1430C2×D4—731no—
1431C2×D4—731no—
1432C2×D4—731no—
1433C2×D4—731no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4—1461no—
1439C2×D4—1461no—
1440C2×D4—1461no—
1441C2×D4—1461no—
1442C2×D4—1461no—
1443C2×D4—1461no—
1444C2×D4—1461no—
1445C2×D4—1461no—
1446C2×D4—1461no—
1447C2×D4—1461no—
1448C2×D4—1461no—
1449C2×D4—1461no—
1450C2×D4D4×D7311yescharacteristic
1451C2×D4C23×D7311yescharacteristic
1452C2×D4C23×D7311yescharacteristic
1453C2×D4C23×D7311yescharacteristic
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—731no—
1459C22×C4—731no—
1460C22×C4—731no—
1461C22×C4—731no—
1462C22×C4—731no—
1463C22×C4—731no—
1464C22×C4—731no—
1465C22×C4—1461no—
1466C22×C4—1461no—
1467C22×C4—1461no—
1468C22×C4—1461no—
1469C22×C4—1461no—
1470C22×C4—1461no—
1471C22×C4—1461no—
1472C22×C4—1461no—
1473C22×C4—1461no—
1474C22×C4—1461no—
1475C22×C4—1461no—
1476C22×C4—1461no—
1477C22×C4C23×D7311yescharacteristic
1478C22×C4C23×D7311yescharacteristic
1479Q16—22no—
1480Q16—22no—
1481Q16—1462no—
1482SD16—22no—
1483SD16—41no—
1484SD16—41no—
1485SD16—41no—
1486SD16—41no—
1487SD16—2921no—
1488SD16—2921no—
1489SD16—2921no—
1490SD16—2921no—
1491SD16—2921no—
1492SD16—1462no—
1493SD16—1462no—
1494D8—41no—
1495D8—41no—
1496D8—2921no—
1497D8—2921no—
1498D8—2921no—
1499D8—2921no—
1500D8—2921no—
1501D8—2921no—
1502D8—2921no—
1503M16—41no—
1504M16—2921no—
1505M16—2921no—
1506M16—2921no—
1507C2×C8—41no—
1508C2×C8—2921no—
1509C2×C8—731no—
1510C2×C8—731no—
1511C2×C8—731no—
1512C2×C8—731no—
1513C2×C8C23×D7311yescharacteristic
1514C2×C8C23×D7311yescharacteristic
1515C2×C8C23×D7311yescharacteristic
1516C2×C8C23×D7311yescharacteristic
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—731no—
1521C4⋊C4—731no—
1522C4⋊C4—731no—
1523C4⋊C4—731no—
1524C4⋊C4—731no—
1525C4⋊C4—731no—
1526C4⋊C4—731no—
1527C4⋊C4—731no—
1528C4⋊C4—731no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4—1461no—
1538C4⋊C4—1461no—
1539C4⋊C4—1461no—
1540C4⋊C4—1461no—
1541C4⋊C4—1461no—
1542C4⋊C4—1461no—
1543C4⋊C4D4×D7311yescharacteristic
1544C4⋊C4C23×D7311yescharacteristic
1545C4⋊C4C23×D7311yescharacteristic
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4—1461no—
1588C22⋊C4D4×D7311yescharacteristic
1589C22⋊C4D4×D7311yescharacteristic
1590C42—21no—
1591C42—21no—
1592C42—731no—
1593C42—731no—
1594C42—731no—
1595C42—731no—
1596C42—731no—
1597C42—731no—
1598C42—731no—
1599C42—731no—
1600C42—731no—
1601C42—1461no—
1602C42—1461no—
1603C42—1461no—
1604C42—1461no—
1605C42—1461no—
1606C42—1461no—
1607C42—1461no—
1608C42—1461no—
1609C42C23×D7311yescharacteristic
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—2922no—
1614C23—2922no—
1615C23—5841no—
1616C23—5841no—
1617C23—5841no—
1618C23—5841no—
1619C23—731no—
1620C23—1461no—
1621C23—1461no—
1622C23—1461no—
1623C23C2×D4×D7311yescharacteristic
1624C23C2×D4×D7311yescharacteristic
1625Q8—21no—
1626Q8—21no—
1627Q8—21no—
1628Q8—21no—
1629Q8—21no—
1630Q8—81no—
1631Q8—5841no—
1632Q8—5841no—
1633Q8—5841no—
1634Q8—5841no—
1635Q8—1462no—
1636Q8—1461no—
1637Q8—1461no—
1638Q8#1455663612yes—
1639D4—21no—
1640D4—21no—
1641D4—21no—
1642D4—21no—
1643D4—21no—
1644D4—21no—
1645D4—41no—
1646D4—42no—
1647D4—42no—
1648D4—42no—
1649D4—42no—
1650D4—81no—
1651D4—81no—
1652D4—81no—
1653D4—81no—
1654D4—2922no—
1655D4—2922no—
1656D4—2922no—
1657D4—2922no—
1658D4—2921no—
1659D4—2922no—
1660D4—5841no—
1661D4—5841no—
1662D4—5841no—
1663D4—5841no—
1664D4—5841no—
1665D4—5841no—
1666D4—5841no—
1667D4—5841no—
1668D4—5841no—
1669D4—5841no—
1670D4—5841no—
1671D4—1462no—
1672D4—1461no—
1673D4—1461no—
1674D4—1461no—
1675D4—1461no—
1676D4—1461no—
1677D4—1461no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—42no—
1688C2×C4—42no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—2922no—
1692C2×C4—2922no—
1693C2×C4—2921no—
1694C2×C4—2921no—
1695C2×C4—2922no—
1696C2×C4—2922no—
1697C2×C4—2922no—
1698C2×C4—2922no—
1699C2×C4—2922no—
1700C2×C4—2922no—
1701C2×C4—2921no—
1702C2×C4—2921no—
1703C2×C4—2921no—
1704C2×C4—5841no—
1705C2×C4—5841no—
1706C2×C4—5841no—
1707C2×C4—5841no—
1708C2×C4—731no—
1709C2×C4—731no—
1710C2×C4—731no—
1711C2×C4—731no—
1712C2×C4—731no—
1713C2×C4—731no—
1714C2×C4—731no—
1715C2×C4—1461no—
1716C2×C4—1461no—
1717C2×C4—1461no—
1718C2×C4—1461no—
1719C2×C4—1461no—
1720C2×C4—1462no—
1721C2×C4—1461no—
1722C2×C4—1461no—
1723C2×C4C2×D4×D7311yescharacteristic
1724C2×C4C2×D4×D7311yescharacteristic
1725C2×C4C2×D4×D7311yescharacteristic
1726C2×C4C2×D4×D7311yescharacteristic
1727C2×C4C24×D7311yescharacteristic
1728C8—21no—
1729C8—21no—
1730C8—21no—
1731C8—21no—
1732C8—1461no—
1733C8—1461no—
1734C8—1461no—
1735C8—1461no—
1736C22—21no—
1737C22—21no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—21no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—2921no—
1752C22—2921no—
1753C22—2921no—
1754C22—2921no—
1755C22—2921no—
1756C22—2921no—
1757C22—2921no—
1758C22—2921no—
1759C22—2921no—
1760C22—11682no—
1761C22—11682no—
1762C22—1461no—
1763C22—1461no—
1764C22—1461no—
1765C22C22×D4×D7311yescharacteristic
1766C4—21no—
1767C4—21no—
1768C4—22no—
1769C4—21no—
1770C4—21no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—2921no—
1776C4—2921no—
1777C4—2921no—
1778C4—2921no—
1779C4—2921no—
1780C4—732no—
1781C4—1461no—
1782C4—1461no—
1783C4—1461no—
1784C4—1461no—
1785C4—1461no—
1786C4—1461no—
1787C4C2×#1455663611yescharacteristic
1788C4#1798942211yescharacteristic
1789C2—41no—
1790C2—41no—
1791C2—81no—
1792C2—81no—
1793C2—81no—
1794C2—2921no—
1795C2—5841no—
1796C2—5841no—
1797C2—5841no—
1798C2#2262359111yescharacteristic
1799C2#575×D7311yescharacteristic
1800C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3271C2
socleC22×C73C23×D4
hypercenter#3271D73
hypocenterC73#61975
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3271

Complements

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

NH ≅ G/Ntype
1. #22623885C2semidirect
2. #22623554C2semidirect
3. #22622970C2semidirect
4. #22622946C2semidirect
5. #22622740C2semidirect
6. #22622672C2semidirect
7. #22622218C2semidirect
8. #22622168C2semidirect
9. #22622123C2semidirect
10. #22622117C2semidirect
11. #22622091C2semidirect
12. #22622089C2semidirect
13. #22621591C2semidirect
14. #22621544C2semidirect
15. #22621520C2semidirect
16. #22621472C2semidirect
17. #22621471C2semidirect
18. #22621291C2semidirect
19. #22621286C2semidirect
20. #22621252C2semidirect
21. #22620917C2semidirect
22. #22620913C2semidirect
23. #22620862C2semidirect
24. #22620046C2semidirect
25. #22620033C2semidirect
26. #22619950C2semidirect
27. #22619427C2semidirect
28. #22619422C2semidirect
29. #22619382C2semidirect
30. #22619043C2semidirect
31. C73×#3271C2semidirect
32. C2×#14556623C22semidirect
35. C2×#14556611C22semidirect
37. Q8×Dic146C22semidirect
40. #17989302C22semidirect
44. #17989301C22semidirect
49. #17989257C22semidirect
51. #17989256C22semidirect
62. #17989135C22semidirect
66. #17989132C22semidirect
67. #17989132C22semidirect
74. #41×Dic73C22semidirect
75. #41×Dic73C22semidirect
76. C4×#11924029C22semidirect
81. #17988973C22semidirect
83. #17988958C22semidirect
85. #17988948C22semidirect
87. #17988946C22semidirect
88. #17988936C22semidirect
90. #17988929C22semidirect
91. #17988926C22semidirect
92. #17988925C22semidirect
96. #17988892C22semidirect
97. #17988886C22semidirect
98. #17988885C22semidirect
99. #17988885C22semidirect
100. #17988880C22semidirect
102. #17988872C22semidirect
103. #17988871C22semidirect
104. #17988868C22semidirect
105. #17988865C22semidirect
109. #17988833C22semidirect
110. #17988831C22semidirect
111. #17988830C22semidirect
112. #17988830C22semidirect
115. #17988818C22semidirect
118. #17988811C22semidirect
119. #17988811C22semidirect
121. #17988807C22semidirect
123. #17988805C22semidirect
127. #17988804C22semidirect
128. #17988804C22semidirect
129. #17988804C22semidirect
131. #17988801C22semidirect
132. #17988800C22semidirect
133. #17988800C22semidirect
134. #17988799C22semidirect
135. #17988795C22semidirect
136. #17988790C22semidirect
137. #17988786C22semidirect
139. #17988785C22semidirect
142. #17988780C22semidirect
143. #17988779C22semidirect
144. #17988749C22semidirect
145. #17988748C22semidirect
147. #17988734C22semidirect
149. #17988732C22semidirect
150. #17988730C22semidirect
151. #17988726C22semidirect
152. #17988724C22semidirect
153. #17988724C22semidirect
158. #17988716C22semidirect
159. #17988715C22semidirect
160. #17988700C22semidirect
161. #17988699C22semidirect
162. #17988691C22semidirect
163. #17988688C22semidirect
164. #17988685C22semidirect
165. #17988685C22semidirect
166. #17988684C22semidirect
167. Q16×Dic73C22semidirect
168. SD16×Dic73C22semidirect
173. #17988659C22semidirect
174. #17988658C22semidirect
175. #17988655C22semidirect
176. #17988642C22semidirect
177. #17988641C22semidirect
178. #17988637C22semidirect
179. #17988610C22semidirect
180. #17988609C22semidirect
181. C2×#14556520C22semidirect
182. #17988596C22semidirect
183. #17988594C22semidirect
186. #17988584C22semidirect
187. #17988583C22semidirect
188. C2×#137×C73C22semidirect
189. C2×#135×C73C22semidirect
190. #550×C73C22semidirect
192. #496×C73C22semidirect
194. #465×C73C22semidirect
195. #464×C73C22semidirect
196. #460×C73C22semidirect
197. #452×C73C22semidirect
199. #449×C73C22semidirect
200. #448×C73C22semidirect
201. #441×C73C22semidirect
202. #435×C73C22semidirect
916. #3271D73semidirect
932. C73#61975semidirect
934. C2×#137C2×D73semidirect
938. C2×#135C2×D73semidirect
955. #550C2×D73semidirect
987. #496C2×D73semidirect
1023. #465C2×D73semidirect
1030. #464C2×D73semidirect
1049. #460C2×D73semidirect
1056. #452C2×D73semidirect
1063. #449C2×D73semidirect
1067. #448C2×D73semidirect
1077. #441C2×D73semidirect
1091. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238852
#226235542
#226229702
#226229462
#226227402
#226226722
#226222182
#226221682
#226221232
#226221172
#226220912
#226220892
#226215912
#226215442
#226215202
#226214722
#226214712
#226212912
#226212862
#226212522
#226209172
#226209132
#226208622
#226200462
#226200332
#226199502
#226194272
#226194222
#226193822
#226190432
C73×#32712
#6197573