Finite Group Databasebeta

← #33969115

Subgroups — #33969115

Order 18688.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624037C211yesmaximal, characteristic, complemented
2#22623959C211yesmaximal, characteristic, complemented
3#22622971C211yesmaximal, characteristic, complemented
4#22622882C211yesmaximal, characteristic, complemented
5#22622687C211yesmaximal, characteristic, complemented
6#22622663C211yesmaximal, characteristic, complemented
7#22622432C211yesmaximal, characteristic, complemented
8#22622432C211yesmaximal, characteristic, complemented
9#22622187C211yesmaximal, characteristic, complemented
10#22622171C211yesmaximal, characteristic, complemented
11#22622115C211yesmaximal, characteristic, complemented
12#22622070C211yesmaximal, characteristic, complemented
13#22621946C211yesmaximal, characteristic, complemented
14#22621931C211yesmaximal, characteristic, complemented
15#22621553C211yesmaximal, characteristic, complemented
16#22621433C211yesmaximal, characteristic, complemented
17#22621433C211yesmaximal, characteristic, complemented
18#22620607C211yesmaximal, characteristic, complemented
19#22620582C211yesmaximal, characteristic, complemented
20#22620519C211yesmaximal, characteristic, complemented
21#22620224C211yesmaximal, characteristic, complemented
22#22620176C211yesmaximal, characteristic, complemented
23#22620125C211yesmaximal, characteristic, complemented
24#22620118C211yesmaximal, characteristic, complemented
25#22620077C211yesmaximal, characteristic, complemented
26#22620072C211yesmaximal, characteristic, complemented
27#22618917C211yesmaximal, characteristic, complemented
28#22618785C211yesmaximal, characteristic, complemented
29#22618761C211yesmaximal, characteristic, complemented
30#22618738C211yesmaximal, characteristic, complemented
31C73×#3351C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556619C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989322C2211yescharacteristic, complemented
36#17989321—21no—
37#17989314C2211yescharacteristic, complemented
38#17989300—21no—
39#17989300C2211yescharacteristic
40#17989300C2211yescharacteristic, complemented
41#17989293C2211yescharacteristic
42#17989288—21no—
43#17989288—21no—
44#17989285C2211yescharacteristic
45#17989285C2211yescharacteristic, complemented
46#17989269—21no—
47#17989258C2211yescharacteristic
48#17989258C2211yescharacteristic, complemented
49#17989247C2211yescharacteristic, complemented
50#17989247C2211yescharacteristic, complemented
51#17989232—21no—
52#17989229—21no—
53#17989226—21no—
54D4×D292C2211yescharacteristic
55#17989221C2211yescharacteristic
56#17989221C2211yescharacteristic
57#17989210C2211yescharacteristic, complemented
58#17989203—21no—
59#17989193C2211yescharacteristic
60#17989193C2211yescharacteristic, complemented
61#17989190C2211yescharacteristic
62#17989189—21no—
63#17989176—21no—
64#17989173—21no—
65#17989132C2211yescharacteristic
66#17989123C2211yescharacteristic, complemented
67#17989122—21no—
68#17989117C2211yescharacteristic
69#17989115—21no—
70#17989096—21no—
71#121×D73—21no—
72#17989068C2211yescharacteristic, complemented
73#17989063C2211yescharacteristic, complemented
74#17989061C2211yescharacteristic
75#17989059C2211yescharacteristic
76#17989055C2211yescharacteristic, complemented
77C2×#14556553C2211yescharacteristic
78#17988995C2211yescharacteristic, complemented
79#17988995C2211yescharacteristic, complemented
80#17988973C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic, complemented
82#17988964C2211yescharacteristic, complemented
83#17988953C2211yescharacteristic, complemented
84#17988953C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988948C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988914C2211yescharacteristic, complemented
90#17988914C2211yescharacteristic, complemented
91#17988913C2211yescharacteristic, complemented
92#17988913C2211yescharacteristic, complemented
93#17988911C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988900C2211yescharacteristic, complemented
96#17988900C2211yescharacteristic, complemented
97#17988897C2211yescharacteristic, complemented
98#17988891C2211yescharacteristic, complemented
99#17988886C2211yescharacteristic
100#17988886C2211yescharacteristic, complemented
101#17988886C2211yescharacteristic, complemented
102#17988884C2211yescharacteristic
103#17988876C2211yescharacteristic
104#17988871C2211yescharacteristic, complemented
105#17988866C2211yescharacteristic, complemented
106#17988866C2211yescharacteristic, complemented
107#17988841C2211yescharacteristic, complemented
108#17988841C2211yescharacteristic, complemented
109#17988840C2211yescharacteristic, complemented
110#17988840C2211yescharacteristic, complemented
111#17988838C2211yescharacteristic, complemented
112#17988835C2211yescharacteristic, complemented
113#17988824C2211yescharacteristic, complemented
114#17988824C2211yescharacteristic, complemented
115#17988821C2211yescharacteristic, complemented
116#17988818C2211yescharacteristic, complemented
117#17988805C2211yescharacteristic
118#17988805C2211yescharacteristic
119#17988805C2211yescharacteristic, complemented
120#17988805C2211yescharacteristic, complemented
121#17988788C2211yescharacteristic, complemented
122#17988787C2211yescharacteristic, complemented
123#17988786C2211yescharacteristic, complemented
124#17988786C2211yescharacteristic, complemented
125#17988783C2211yescharacteristic
126#17988782C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic, complemented
129#17988737C2211yescharacteristic
130#17988737C2211yescharacteristic
131#17988734C2211yescharacteristic, complemented
132#17988734C2211yescharacteristic, complemented
133#17988730C2211yescharacteristic, complemented
134#17988730C2211yescharacteristic, complemented
135#17988727C2211yescharacteristic, complemented
136#17988727C2211yescharacteristic, complemented
137#17988723C2211yescharacteristic
138#17988723C2211yescharacteristic
139#17988722C2211yescharacteristic
140#17988722C2211yescharacteristic
141#17988717C2211yescharacteristic, complemented
142#17988716C2211yescharacteristic, complemented
143#17988698C2211yescharacteristic
144#17988698C2211yescharacteristic
145#17988698C2211yescharacteristic, complemented
146#17988698C2211yescharacteristic, complemented
147#17988698C2211yescharacteristic, complemented
148#17988698C2211yescharacteristic, complemented
149#17988696C2211yescharacteristic, complemented
150#17988690C2211yescharacteristic
151#17988690C2211yescharacteristic, complemented
152#17988687C2211yescharacteristic, complemented
153#17988686C2211yescharacteristic
154#17988686C2211yescharacteristic
155#17988686C2211yescharacteristic, complemented
156#17988686C2211yescharacteristic, complemented
157#17988685C2211yescharacteristic
158#17988684C2211yescharacteristic, complemented
159C4×#11924017C2211yescharacteristic
160SD16×Dic73C2211yescharacteristic, complemented
161#17988674C2211yescharacteristic
162#17988674C2211yescharacteristic, complemented
163#17988674C2211yescharacteristic, complemented
164#17988672C2211yescharacteristic, complemented
165#17988669C2211yescharacteristic
166#17988669C2211yescharacteristic
167#17988669C2211yescharacteristic, complemented
168#17988669C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic, complemented
170#17988662C2211yescharacteristic, complemented
171#17988659C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic, complemented
173#17988656C2211yescharacteristic, complemented
174#17988655C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988622C2211yescharacteristic, complemented
179#17988594C2211yescharacteristic, complemented
180#17988591C2211yescharacteristic
181#17988590C2211yescharacteristic
182#17988586C2211yescharacteristic, complemented
183#17988581C2211yescharacteristic, complemented
184C2×#14556511C2211yescharacteristic
185#17988545C2211yescharacteristic, complemented
186#17988541C2211yescharacteristic, complemented
187M16×Dic73C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic
189#552×C73C2211yescharacteristic, complemented
190#499×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#483×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic, complemented
194#481×C73C2211yescharacteristic, complemented
195#479×C73C2211yescharacteristic, complemented
196#478×C73C2211yescharacteristic, complemented
197#468×C73C2211yescharacteristic, complemented
198#468×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200#436×C73C2211yescharacteristic, complemented
201#428×C73C2211yescharacteristic, complemented
202#428×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×Q8×D73C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C2×D4×D73—21no—
211C2×D4×D73—21no—
212C2×D4×D73—21no—
213C2×D4×D73C2311yescharacteristic
214C22×C4×D73—21no—
215#14556619—24no—
216#14556619—24no—
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224SD16×D73—24no—
225C2×D584C2311yescharacteristic
226C2×D584C2311yescharacteristic
227C2×D584C2311yescharacteristic
228C2×D584C2311yescharacteristic
229C2×D584C2311yescharacteristic
230C2×D584C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924012C2311yescharacteristic
234C2×#11924011C2311yescharacteristic
235C22×#10596831C2311yescharacteristic
236C2×C8×D73C2311yescharacteristic
237#14556590—21no—
238#14556590C2311yescharacteristic
239#14556590C2311yescharacteristic
240#14556588C2311yescharacteristic
241#14556588C2311yescharacteristic
242#14556587—21no—
243#14556587C2311yescharacteristic
244#14556587C2311yescharacteristic
245#14556586—21no—
246#14556586—21no—
247#14556586—21no—
248#14556586—21no—
249#14556586D411yescharacteristic
250#14556584D411yescharacteristic
251#14556582C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556581—21no—
254#14556581—21no—
255#14556581D411yescharacteristic
256#14556580C2311yescharacteristic
257#14556580C2311yescharacteristic
258#14556579—21no—
259#14556579—21no—
260#14556579—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577D411yescharacteristic
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576—21no—
276#14556575—21no—
277#14556575—21no—
278#14556575D411yescharacteristic
279#14556573—21no—
280#14556573—21no—
281#14556572D411yescharacteristic
282#14556571—21no—
283#14556571—21no—
284#14556569—21no—
285#14556569—21no—
286#14556569—21no—
287#14556569—21no—
288#14556568D411yescharacteristic
289#14556566—21no—
290#14556566—21no—
291#14556566—21no—
292#14556566—21no—
293#14556566—21no—
294#14556566C2311yescharacteristic
295#14556566C2311yescharacteristic
296#14556566C2311yescharacteristic
297#14556566C2311yescharacteristic
298#14556565—21no—
299#14556565—21no—
300#14556565—21no—
301#14556565C2311yescharacteristic
302#14556565C2311yescharacteristic
303#14556565C2311yescharacteristic
304#14556565C2311yescharacteristic
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563D411yescharacteristic
318#14556562—21no—
319#14556561—21no—
320#14556561—21no—
321#14556561—21no—
322#14556561—21no—
323#14556559—21no—
324#14556559—21no—
325Q8×Dic73C2311yescharacteristic
326C4×Dic146—21no—
327C4×Dic146C2311yescharacteristic
328C4×Dic146C2311yescharacteristic
329#14556556—21no—
330#14556556—21no—
331#14556556C2311yescharacteristic
332#14556556C2311yescharacteristic
333#14556556C2311yescharacteristic
334C4×D292—21no—
335C4×D292—21no—
336C4×D292—21no—
337C4×D292C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339#14556553—21no—
340#14556553—21no—
341#14556553—21no—
342#14556553—21no—
343#14556553—21no—
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354#14556553C2311yescharacteristic
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73C2311yescharacteristic
361C4×C22⋊D73C2311yescharacteristic
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556550C2311yescharacteristic
368#14556549—21no—
369#14556549—21no—
370#14556549—21no—
371#14556549C2311yescharacteristic
372#14556549C2311yescharacteristic
373#14556548—21no—
374#14556548—21no—
375#14556548—21no—
376#14556548—21no—
377#14556548C2311yescharacteristic
378C4⋊C4×D73—21no—
379C4⋊C4×D73—21no—
380C2×#11924005—21no—
381C2×#11924005—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C22⋊C4×D73—21no—
385C2×C4×Dic73C2311yescharacteristic
386C42×D73—21no—
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556515C2311yescharacteristic
401#14556514C2311yescharacteristic
402#14556514C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556513C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556512C2311yescharacteristic
410#14556511C2311yescharacteristic
411#14556511C2311yescharacteristic
412#14556511C2311yescharacteristic
413#14556511C2311yescharacteristic
414#14556511C2311yescharacteristic
415#14556511C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C2×M16×C73C2311yescharacteristic
440C2×M16×C73C2311yescharacteristic
441#126×C73—21no—
442#126×C73—21no—
443#125×C73—21no—
444#125×C73C2311yescharacteristic
445#125×C73C2311yescharacteristic
446#123×C73—21no—
447#123×C73—21no—
448C22⋊Q8×C73C2311yescharacteristic
449C22⋊Q8×C73C2311yescharacteristic
450#121×C73—21no—
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×D4×C73—21no—
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457#117×C73—21no—
458#117×C73C2311yescharacteristic
459#117×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924028—22no—
485#11924028—22no—
486#11924028—41no—
487#11924028—41no—
488#11924028—82no—
489#11924027—82no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495Q8×D73—22no—
496Q8×D73—41no—
497C2×D292—22no—
498C2×D292—22no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—41no—
510C2×D292—41no—
511C2×D292C2411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×D292C2411yescharacteristic
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⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73C2×D411yescharacteristic
528C2×C22⋊D73C2×D411yescharacteristic
529D4×D73—22no—
530D4×D73—41no—
531D4×D73—82no—
532D4×D73—82no—
533D4×D73—82no—
534C22×Dic73—21no—
535C22×Dic73C2×D411yescharacteristic
536C22×Dic73C2×D411yescharacteristic
537C2×C4×D73—21no—
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×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—82no—
553C2×C4×D73C2411yescharacteristic
554#11924017—22no—
555#11924017—22no—
556#11924017#4114yescomplemented
557#11924016—22no—
558#11924015—22no—
559#11924015—41no—
560#11924015—41no—
561D584—22no—
562D584—22no—
563D584—22no—
564D584—22no—
565D584—41no—
566D584—41no—
567#11924013—41no—
568#11924013—41no—
569#11924012—41no—
570#11924011—41no—
571C2×#10596831—41no—
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C8×D73—22no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73C2×D411yescharacteristic
581C4⋊Dic73C2×D411yescharacteristic
582C4⋊Dic73C2×D411yescharacteristic
583C4⋊Dic73C2411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
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#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599C22⋊Dic73—21no—
600C22⋊Dic73C2×D411yescharacteristic
601C22⋊Dic73C2×D411yescharacteristic
602C22⋊Dic73C2×D411yescharacteristic
603C22⋊Dic73C2×D411yescharacteristic
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
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#11924005—21no—
629#11924005—21no—
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633#11924005C2×D411yescharacteristic
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2411yescharacteristic
644C4×Dic73C2411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C2×Q8×C73C2411yescharacteristic
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73C2×D411yescharacteristic
650C2×D4×C73C2411yescharacteristic
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73C2411yescharacteristic
655C22×C4×C73C2411yescharacteristic
656SD16×C73—22no—
657M16×C73—22no—
658M16×C73—22no—
659C2×C8×C73C2411yescharacteristic
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73C2×D411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73C2×D411yescharacteristic
687C22⋊C4×C73C2×D411yescharacteristic
688C42×C73—21no—
689C42×C73—21no—
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73C22×D411yescharacteristic
694C23×C73C22×D411yescharacteristic
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—21no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—81no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73—81no—
708C22×D73—81no—
709C22×D73C22×D411yescharacteristic
710Q8×C73—21no—
711Q8×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—41no—
715D4×C73—42no—
716D4×C73—81no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—81no—
729C2×C4×C73—81no—
730C2×C4×C73—81no—
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C2511yescharacteristic
736C22⋊D73—41no—
737C22⋊D73—41no—
738C22⋊D73—42no—
739C22⋊D73—42no—
740C22⋊D73—42no—
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—81no—
744C22⋊D73—81no—
745C22⋊D73—81no—
746C22⋊D73—81no—
747C22⋊D73—81no—
748C22⋊D73—81no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—41no—
753C2×Dic73—41no—
754C2×Dic73—81no—
755C2×Dic73C22×D411yescharacteristic
756C2×Dic73C22×D411yescharacteristic
757C2×Dic73C22×D411yescharacteristic
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762D292—21no—
763D292—21no—
764D292—21no—
765D292—21no—
766D292—21no—
767D292—21no—
768D292—21no—
769D292—21no—
770D292—21no—
771D292—42no—
772D292—42no—
773D292—81no—
774D292—81no—
775D292—81no—
776D292—81no—
777D292—81no—
778D292—81no—
779D292—81no—
780D292—81no—
781D292C2×#4112yes—
782C4×D73—21no—
783C4×D73—21no—
784C4×D73—42no—
785C4×D73—42no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—81no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799Dic146—21no—
800Dic146—41no—
801Dic146—42no—
802Dic146—81no—
803Dic146—81no—
804Dic146C2×#4112yes—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73C2×#4112yes—
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831—21no—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—21no—
816C22×C73—21no—
817C22×C73—21no—
818C22×C73—21no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73C23×D411yescharacteristic
823C2×D73—21no—
824C2×D73—21no—
825C2×D73—21no—
826C2×D73—22no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—84no—
842C2×D73—162no—
843C2×D73—162no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73—41no—
855C4×C73C22×#4111yescharacteristic
856C4×C73#58511yescharacteristic
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—21no—
861Dic73—21no—
862Dic73—21no—
863Dic73—22no—
864Dic73—21no—
865Dic73—41no—
866Dic73—41no—
867#61504—731nomaximal, Sylow
868C2×C73—41no—
869C2×C73—41no—
870C2×C73—81no—
871C2×C73D4×#4111yescharacteristic
872C2×C73#358511yescharacteristic
873C2×C73#358511yescharacteristic
874D73—41no—
875D73—42no—
876D73—81no—
877D73—81no—
878D73—81no—
879D73—81no—
880#3524—731no—
881#3519—731no—
882#3399—731no—
883#3388—731no—
884#3370—731no—
885#3368—731no—
886#3351D7311yescharacteristic, complemented
887#3347—731no—
888#3347—731no—
889#3326—731no—
890#3325—731no—
891#3321—731no—
892#3318—731no—
893#3310—731no—
894#3309—731no—
895#3274—731no—
896#3265—731no—
897#3265—731no—
898#3179—731no—
899#3176—731no—
900#3171—731no—
901#3126—731no—
902#3122—731no—
903#3119—731no—
904#3118—731no—
905#3115—731no—
906#3114—731no—
907#2967—731no—
908#2949—731no—
909#2946—731no—
910C4×AGL(1,ℤ/8)—731no—
911C73#6150411yescharacteristic, complemented, Sylow
912C2×AGL(1,ℤ/8)—731no—
913C2×AGL(1,ℤ/8)—731no—
914C22×SD16—731no—
915#559—731no—
916#559—1461no—
917#557—731no—
918#555—731no—
919#555—731no—
920#555—1461no—
921#554—731no—
922#553—731no—
923#553—731no—
924#553—1461no—
925#553—1461no—
926#553C2×D7311yescharacteristic
927#552—1461no—
928#552C2×D7311yescharacteristic, complemented
929#550—731no—
930#550—731no—
931#548—731no—
932#548—731no—
933#546—1461no—
934#546—1461no—
935#546—1461no—
936D42—731no—
937D42—731no—
938D42—731no—
939#542—731no—
940#542—1461no—
941#540—731no—
942#540—731no—
943#540—731no—
944#540—1461no—
945#538—1461no—
946#538—1461no—
947#532—731no—
948#529—731no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952#525—1461no—
953C2×#121—1461no—
954#520—731no—
955#519—731no—
956#518—731no—
957#518—731no—
958C4×#41—731no—
959C2×C4×D4—731no—
960#501—731no—
961#501—731no—
962#499C2×D7311yescharacteristic, complemented
963#496—731no—
964#496—731no—
965#493—731no—
966#490—731no—
967#490—731no—
968#490—731no—
969#489—731no—
970#488—731no—
971#486—731no—
972#485C2×D7311yescharacteristic, complemented
973#483C2×D7311yescharacteristic, complemented
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482C2×D7311yescharacteristic, complemented
981#481C2×D7311yescharacteristic, complemented
982#480—731no—
983#480—731no—
984#479—731no—
985#479—731no—
986#479C2×D7311yescharacteristic, complemented
987#478—731no—
988#478—731no—
989#478—731no—
990#478—731no—
991#478C2×D7311yescharacteristic, complemented
992#476—731no—
993#475—731no—
994#474—731no—
995#474—731no—
996#469—731no—
997#469—731no—
998#469—731no—
999#469—731no—
1000#469—731no—
1001#468—731no—
1002#468C2×D7311yescharacteristic, complemented
1003#468C2×D7311yescharacteristic, complemented
1004#466—731no—
1005#466—731no—
1006#466—731no—
1007#465—731no—
1008#463—731no—
1009#463—731no—
1010#463—731no—
1011#463—731no—
1012#460—731no—
1013#460—731no—
1014#460—731no—
1015#460—731no—
1016#459—731no—
1017#459—731no—
1018#459—731no—
1019#459—731no—
1020#450—731no—
1021#450—731no—
1022#449—731no—
1023#449—731no—
1024#449—731no—
1025#449—731no—
1026#448—731no—
1027#448—731no—
1028#447—731no—
1029#447—731no—
1030#447—731no—
1031#447—731no—
1032#446—731no—
1033#446—731no—
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#442—731no—
1040#442—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440—731no—
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16—731no—
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×SD16C2×D7311yescharacteristic, complemented
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061C4×D8—731no—
1062#436—731no—
1063#436C2×D7311yescharacteristic, complemented
1064#435—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#433—731no—
1069#433—731no—
1070#432—731no—
1071#428C2×D7311yescharacteristic, complemented
1072#428C2×D7311yescharacteristic, complemented
1073#427—731no—
1074#419—731no—
1075#418—731no—
1076#418—731no—
1077#417—731no—
1078#416—731no—
1079C2×#102—731no—
1080#405—731no—
1081#405—731no—
1082C4×M16—731no—
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—1461no—
1086C2×#41—1461no—
1087C22×Q8—731no—
1088C22×D4—731no—
1089C22×D4—731no—
1090C22×D4—731no—
1091C22×D4—1461no—
1092C22×D4—1461no—
1093C22×D4—1461no—
1094C23×C4—1461no—
1095AGL(1,ℤ/8)—1464no—
1096AGL(1,ℤ/8)—1464no—
1097C2×SD16—731no—
1098C2×SD16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—731no—
1103C2×SD16—731no—
1104C2×SD16—1464no—
1105C2×SD16C22×D7311yescharacteristic
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8—731no—
1111C2×D8—731no—
1112C2×D8—731no—
1113C2×D8—731no—
1114C2×M16—731no—
1115C2×M16—731no—
1116C2×M16C22×D7311yescharacteristic
1117C2×M16C22×D7311yescharacteristic
1118C22×C8—731no—
1119C22×C8—731no—
1120C4⋊Q8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8—1461no—
1123#127—731no—
1124#127—731no—
1125#127—731no—
1126#127—731no—
1127#127—1461no—
1128#126—21no—
1129#126—21no—
1130#126—731no—
1131#126—731no—
1132#126—1461no—
1133#126—1461no—
1134#126—1461no—
1135#126—1461no—
1136#125—21no—
1137#125—731no—
1138#125—731no—
1139#125—731no—
1140#125—1461no—
1141#125—1461no—
1142#125C22×D7311yescharacteristic
1143#125C22×D7311yescharacteristic
1144#124—731no—
1145#124—731no—
1146#124—731no—
1147#124—1461no—
1148#124—1461no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124—1461no—
1156#123—21no—
1157#123—21no—
1158#123—731no—
1159#123—731no—
1160#123—1461no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172C22⋊Q8—731no—
1173C22⋊Q8—1461no—
1174C22⋊Q8—1461no—
1175C22⋊Q8—1461no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8C22×D7311yescharacteristic
1180C22⋊Q8C22×D7311yescharacteristic
1181#121—21no—
1182#121—731no—
1183#121—731no—
1184#121—731no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—731no—
1191#121—1461no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121—1461no—
1200#121—1461no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121C22×D7311yescharacteristic
1213#121C22×D7311yescharacteristic
1214#120—1461no—
1215#120—1461no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219#120—1461no—
1220C4×Q8—731no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—1461no—
1227C4×Q8—1461no—
1228C4×Q8—1461no—
1229C4×Q8C22×D7311yescharacteristic
1230C4×D4—21no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
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×D4C22×D7311yescharacteristic
1265C4×D4C22×D7311yescharacteristic
1266#117—21no—
1267#117—731no—
1268#117—731no—
1269#117—731no—
1270#117—731no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117—1461no—
1277#117—1461no—
1278#117C22×D7311yescharacteristic
1279#117C22×D7311yescharacteristic
1280C2×C4⋊C4—1461no—
1281C2×C4⋊C4—1461no—
1282C2×C4⋊C4C22×D7311yescharacteristic
1283C2×C4⋊C4C22×D7311yescharacteristic
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C42—731no—
1290C2×C42—1461no—
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107C22×D7311yescharacteristic
1296#107C22×D7311yescharacteristic
1297#107C22×D7311yescharacteristic
1298#107C22×D7311yescharacteristic
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106C22×D7311yescharacteristic
1303#106C22×D7311yescharacteristic
1304#106C22×D7311yescharacteristic
1305#106C22×D7311yescharacteristic
1306#106C22×D7311yescharacteristic
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8C22×D7311yescharacteristic
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103C22×D7311yescharacteristic
1319#103C22×D7311yescharacteristic
1320#103C22×D7311yescharacteristic
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344#102C22×D7311yescharacteristic
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8C22×D7311yescharacteristic
1350C22⋊C8C22×D7311yescharacteristic
1351#97—731no—
1352#97—731no—
1353#97—731no—
1354#97—731no—
1355#97—731no—
1356#97—731no—
1357C4×C8—731no—
1358C4×C8—731no—
1359C4×C8—731no—
1360C4×C8C22×D7311yescharacteristic
1361C24—1461no—
1362C24—1461no—
1363C24—1461no—
1364#41—2921no—
1365#41—2921no—
1366#41—5842no—
1367#41—5842no—
1368#41—1462no—
1369#41—1462no—
1370C2×Q8—2921no—
1371C2×Q8—731no—
1372C2×Q8—731no—
1373C2×Q8—1461no—
1374C2×Q8—1461no—
1375C2×Q8—1461no—
1376C2×Q8—1462no—
1377C2×Q8C23×D7311yescharacteristic
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—2921no—
1381C2×D4—2921no—
1382C2×D4—2921no—
1383C2×D4—5842no—
1384C2×D4—5842no—
1385C2×D4—5842no—
1386C2×D4—731no—
1387C2×D4—731no—
1388C2×D4—731no—
1389C2×D4—731no—
1390C2×D4—731no—
1391C2×D4—731no—
1392C2×D4—731no—
1393C2×D4—1462no—
1394C2×D4—1462no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1462no—
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×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4D4×D7311yescharacteristic
1418C2×D4C23×D7311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—5842no—
1423C22×C4—731no—
1424C22×C4—731no—
1425C22×C4—731no—
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×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4C23×D7311yescharacteristic
1443C22×C4C23×D7311yescharacteristic
1444SD16—22no—
1445SD16—2921no—
1446SD16—2921no—
1447SD16—734no—
1448SD16—1462no—
1449SD16—1462no—
1450SD16—1462no—
1451SD16—1462no—
1452D8—2921no—
1453D8—2921no—
1454D8—2921no—
1455D8—2921no—
1456D8—1462no—
1457D8—1462no—
1458D8—1462no—
1459D8—1462no—
1460M16—22no—
1461M16—22no—
1462M16—2921no—
1463M16—2921no—
1464C2×C8—2921no—
1465C2×C8—731no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8—1462no—
1470C2×C8C23×D7311yescharacteristic
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C2×C8C23×D7311yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—731no—
1492C4⋊C4—731no—
1493C4⋊C4—731no—
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⋊C4D4×D7311yescharacteristic
1506C4⋊C4C23×D7311yescharacteristic
1507C4⋊C4C23×D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C4⋊C4C23×D7311yescharacteristic
1510C4⋊C4C23×D7311yescharacteristic
1511C4⋊C4C23×D7311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—731no—
1520C22⋊C4—731no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—731no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4D4×D7311yescharacteristic
1555C22⋊C4D4×D7311yescharacteristic
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42—731no—
1560C42—731no—
1561C42—731no—
1562C42—731no—
1563C42—731no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42—1461no—
1571C42C23×D7311yescharacteristic
1572C23—21no—
1573C23—2922no—
1574C23—2922no—
1575C23—2922no—
1576C23—2922no—
1577C23—5841no—
1578C23—5841no—
1579C23—5841no—
1580C23—5841no—
1581C23—5841no—
1582C23—731no—
1583C23—1461no—
1584C23—1461no—
1585C23—1461no—
1586C23—1461no—
1587C23—1461no—
1588C23C2×D4×D7311yescharacteristic
1589C23C2×D4×D7311yescharacteristic
1590Q8—21no—
1591Q8—21no—
1592Q8—2921no—
1593Q8—2922no—
1594Q8—5841no—
1595Q8—5841no—
1596Q8—732no—
1597Q8—1461no—
1598D4—21no—
1599D4—21no—
1600D4—41no—
1601D4—42no—
1602D4—81no—
1603D4—2922no—
1604D4—2922no—
1605D4—2922no—
1606D4—2922no—
1607D4—2922no—
1608D4—2921no—
1609D4—2921no—
1610D4—2922no—
1611D4—2922no—
1612D4—5841no—
1613D4—5841no—
1614D4—5841no—
1615D4—5841no—
1616D4—5841no—
1617D4—5841no—
1618D4—5841no—
1619D4—5841no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—5841no—
1626D4—732no—
1627D4—1461no—
1628D4—1461no—
1629D4—1461no—
1630D4—1461no—
1631D4—1461no—
1632D4—1461no—
1633D4—1461no—
1634D4—1461no—
1635D4—1461no—
1636C2×C4—21no—
1637C2×C4—21no—
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—81no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—2922no—
1651C2×C4—2922no—
1652C2×C4—2922no—
1653C2×C4—2922no—
1654C2×C4—2922no—
1655C2×C4—2921no—
1656C2×C4—2921no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—5841no—
1666C2×C4—5841no—
1667C2×C4—5841no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—731no—
1672C2×C4—731no—
1673C2×C4—731no—
1674C2×C4—731no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C24×D7311yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—1461no—
1689C8—1461no—
1690C8—1461no—
1691C8—1461no—
1692C8#41×D7312yes—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—2921no—
1703C22—2921no—
1704C22—2921no—
1705C22—2921no—
1706C22—2921no—
1707C22—2921no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—2921no—
1714C22—2921no—
1715C22—2921no—
1716C22—5844no—
1717C22—11682no—
1718C22—11682no—
1719C22—1461no—
1720C22—1462no—
1721C22—1461no—
1722C22—1461no—
1723C22C22×D4×D7311yescharacteristic
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—2921no—
1736C4—2921no—
1737C4—1462no—
1738C4—1461no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4—1461no—
1744C4—1461no—
1745C4C2×#41×D7311yescharacteristic
1746C4#1798942411yescharacteristic
1747C2—41no—
1748C2—41no—
1749C2—81no—
1750C2—2922no—
1751C2—2921no—
1752C2—5841no—
1753C2—5841no—
1754C2—5841no—
1755C2—5841no—
1756C2#2262341811yescharacteristic
1757C2#2262470811yescharacteristic
1758C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3351C2
socleC22×C73C23×D4
hypercenter#3351D73
hypocenterC73#61504
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3351

Complements

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

NH ≅ G/Ntype
1. #22624037C2semidirect
2. #22623959C2semidirect
3. #22622971C2semidirect
4. #22622882C2semidirect
5. #22622687C2semidirect
6. #22622663C2semidirect
7. #22622432C2semidirect
8. #22622432C2semidirect
9. #22622187C2semidirect
10. #22622171C2semidirect
11. #22622115C2semidirect
12. #22622070C2semidirect
13. #22621946C2semidirect
14. #22621931C2semidirect
15. #22621553C2semidirect
16. #22621433C2semidirect
17. #22621433C2semidirect
18. #22620607C2semidirect
19. #22620582C2semidirect
20. #22620519C2semidirect
21. #22620224C2semidirect
22. #22620176C2semidirect
23. #22620125C2semidirect
24. #22620118C2semidirect
25. #22620077C2semidirect
26. #22620072C2semidirect
27. #22618917C2semidirect
28. #22618785C2semidirect
29. #22618761C2semidirect
30. #22618738C2semidirect
31. C73×#3351C2semidirect
35. #17989322C22semidirect
37. #17989314C22semidirect
40. #17989300C22semidirect
45. #17989285C22semidirect
48. #17989258C22semidirect
49. #17989247C22semidirect
50. #17989247C22semidirect
57. #17989210C22semidirect
60. #17989193C22semidirect
66. #17989123C22semidirect
72. #17989068C22semidirect
73. #17989063C22semidirect
76. #17989055C22semidirect
78. #17988995C22semidirect
79. #17988995C22semidirect
80. #17988973C22semidirect
81. #17988973C22semidirect
82. #17988964C22semidirect
83. #17988953C22semidirect
84. #17988953C22semidirect
85. #17988950C22semidirect
86. #17988948C22semidirect
87. #17988943C22semidirect
88. #17988932C22semidirect
89. #17988914C22semidirect
90. #17988914C22semidirect
91. #17988913C22semidirect
92. #17988913C22semidirect
93. #17988911C22semidirect
94. #17988911C22semidirect
95. #17988900C22semidirect
96. #17988900C22semidirect
97. #17988897C22semidirect
98. #17988891C22semidirect
100. #17988886C22semidirect
101. #17988886C22semidirect
104. #17988871C22semidirect
105. #17988866C22semidirect
106. #17988866C22semidirect
107. #17988841C22semidirect
108. #17988841C22semidirect
109. #17988840C22semidirect
110. #17988840C22semidirect
111. #17988838C22semidirect
112. #17988835C22semidirect
113. #17988824C22semidirect
114. #17988824C22semidirect
115. #17988821C22semidirect
116. #17988818C22semidirect
119. #17988805C22semidirect
120. #17988805C22semidirect
121. #17988788C22semidirect
122. #17988787C22semidirect
123. #17988786C22semidirect
124. #17988786C22semidirect
126. #17988782C22semidirect
127. #17988781C22semidirect
128. #17988781C22semidirect
131. #17988734C22semidirect
132. #17988734C22semidirect
133. #17988730C22semidirect
134. #17988730C22semidirect
135. #17988727C22semidirect
136. #17988727C22semidirect
141. #17988717C22semidirect
142. #17988716C22semidirect
145. #17988698C22semidirect
146. #17988698C22semidirect
147. #17988698C22semidirect
148. #17988698C22semidirect
149. #17988696C22semidirect
151. #17988690C22semidirect
152. #17988687C22semidirect
155. #17988686C22semidirect
156. #17988686C22semidirect
158. #17988684C22semidirect
160. SD16×Dic73C22semidirect
162. #17988674C22semidirect
163. #17988674C22semidirect
164. #17988672C22semidirect
167. #17988669C22semidirect
168. #17988669C22semidirect
169. #17988667C22semidirect
170. #17988662C22semidirect
171. #17988659C22semidirect
172. #17988656C22semidirect
173. #17988656C22semidirect
174. #17988655C22semidirect
175. #17988647C22semidirect
176. #17988645C22semidirect
177. #17988641C22semidirect
178. #17988622C22semidirect
179. #17988594C22semidirect
182. #17988586C22semidirect
183. #17988581C22semidirect
185. #17988545C22semidirect
186. #17988541C22semidirect
187. M16×Dic73C22semidirect
189. #552×C73C22semidirect
190. #499×C73C22semidirect
191. #485×C73C22semidirect
192. #483×C73C22semidirect
193. #482×C73C22semidirect
194. #481×C73C22semidirect
195. #479×C73C22semidirect
196. #478×C73C22semidirect
197. #468×C73C22semidirect
198. #468×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. #436×C73C22semidirect
201. #428×C73C22semidirect
202. #428×C73C22semidirect
556. #11924017#41semidirect
886. #3351D73semidirect
911. C73#61504semidirect
928. #552C2×D73semidirect
962. #499C2×D73semidirect
972. #485C2×D73semidirect
973. #483C2×D73semidirect
980. #482C2×D73semidirect
981. #481C2×D73semidirect
986. #479C2×D73semidirect
991. #478C2×D73semidirect
1002. #468C2×D73semidirect
1003. #468C2×D73semidirect
1056. C4×SD16C2×D73semidirect
1063. #436C2×D73semidirect
1071. #428C2×D73semidirect
1072. #428C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226240372
#226239592
#226229712
#226228822
#226226872
#226226632
#226224322
#226221872
#226221712
#226221152
#226220702
#226219462
#226219312
#226215532
#226214332
#226206072
#226205822
#226205192
#226202242
#226201762
#226201252
#226201182
#226200772
#226200722
#226189172
#226187852
#226187612
#226187382
C73×#33512
#6150473