Finite Group Databasebeta

← #33978964

Subgroups — #33978964

Order 18688.

1848 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623885C211yesmaximal, characteristic
2Q8×#11924027C211yesmaximal, characteristic, complemented
3#22622981C211yesmaximal, characteristic, complemented
4#22622957C211yesmaximal, characteristic, complemented
5#22622740C211yesmaximal, characteristic, complemented
6#22622672C211yesmaximal, characteristic, complemented
7#22622042C211yesmaximal, characteristic, complemented
8#22622037C211yesmaximal, characteristic, complemented
9#22622014C211yesmaximal, characteristic, complemented
10#22622005C211yesmaximal, characteristic, complemented
11#22621800C211yesmaximal, characteristic, complemented
12#22621750C211yesmaximal, characteristic, complemented
13Q16×C22⋊D73C211yesmaximal, characteristic, complemented
14#22621620C211yesmaximal, characteristic, complemented
15#22621504C211yesmaximal, characteristic, complemented
16#22621442C211yesmaximal, characteristic, complemented
17#22621435C211yesmaximal, characteristic, complemented
18#22621299C211yesmaximal, characteristic, complemented
19#22621266C211yesmaximal, characteristic, complemented
20#22621261C211yesmaximal, characteristic, complemented
21#22620933C211yesmaximal, characteristic, complemented
22#22620929C211yesmaximal, characteristic, complemented
23#22620885C211yesmaximal, characteristic, complemented
24#22620106C211yesmaximal, characteristic, complemented
25#22620097C211yesmaximal, characteristic, complemented
26#22620012C211yesmaximal, characteristic, complemented
27#22619400C211yesmaximal, characteristic, complemented
28C2×#17988811C211yesmaximal, characteristic, complemented
29#464×D73C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3270C211yesmaximal, characteristic, complemented
32C2×#14556622C2211yescharacteristic, complemented
33C2×Q16×D73C2211yescharacteristic, complemented
34C22×#11924015C2211yescharacteristic
35C2×SD16×D73C2211yescharacteristic
36#17989319C2211yescharacteristic
37Q8×Dic146C2211yescharacteristic, complemented
38#17989312—21no—
39#17989312C2211yescharacteristic, complemented
40#17989309C2211yescharacteristic
41#17989299—21no—
42#17989295—21no—
43#17989295—21no—
44#17989295C2211yescharacteristic
45#17989295C2211yescharacteristic, complemented
46#17989294—21no—
47#17989294C2211yescharacteristic, complemented
48#17989266—21no—
49#17989264—21no—
50Q8×C22⋊D73C2211yescharacteristic
51Q8×C22⋊D73C2211yescharacteristic
52Q8×C22⋊D73C2211yescharacteristic, complemented
53#17989247C2211yescharacteristic
54#17989233C2211yescharacteristic
55#17989226—21no—
56#17989225C2211yescharacteristic
57#17989221C2211yescharacteristic
58#17989207—21no—
59#17989174—21no—
60#17989171—21no—
61#17989142—21no—
62#17989142C2211yescharacteristic, complemented
63#17989139—21no—
64#17989139—21no—
65#17989139C2211yescharacteristic, complemented
66#17989139C2211yescharacteristic, complemented
67#17989133C2211yescharacteristic
68#17989124C2211yescharacteristic
69#17989123C2211yescharacteristic
70#17989118C2211yescharacteristic
71C2×#14556580C2211yescharacteristic
72#124×D73C2211yescharacteristic
73#17989059—21no—
74C4×#11924027—21no—
75C4×#11924027C2211yescharacteristic
76C2×Q8×Dic73C2211yescharacteristic, complemented
77C2×Q8×Dic73C2211yescharacteristic, complemented
78C4×Q8×D73C2211yescharacteristic, complemented
79#17988980C2211yescharacteristic
80#17988980C2211yescharacteristic, complemented
81#17988979C2211yescharacteristic
82#17988965C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic
84#17988948C2211yescharacteristic
85#17988948C2211yescharacteristic, complemented
86#17988947C2211yescharacteristic
87#17988946C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic
90#17988923C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988915C2211yescharacteristic, complemented
93#17988907C2211yescharacteristic
94#17988903C2211yescharacteristic
95#17988901C2211yescharacteristic
96#17988897C2211yescharacteristic, complemented
97#17988896C2211yescharacteristic, complemented
98#17988896C2211yescharacteristic, complemented
99#17988896C2211yescharacteristic, complemented
100#17988880C2211yescharacteristic, complemented
101#17988876C2211yescharacteristic
102#17988872C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988868C2211yescharacteristic, complemented
105#17988865C2211yescharacteristic, complemented
106#17988843C2211yescharacteristic, complemented
107#17988835C2211yescharacteristic
108#17988833C2211yescharacteristic
109#17988828C2211yescharacteristic, complemented
110#17988826C2211yescharacteristic, complemented
111#17988825C2211yescharacteristic, complemented
112#17988825C2211yescharacteristic, complemented
113#17988819C2211yescharacteristic
114#17988819C2211yescharacteristic
115#17988814C2211yescharacteristic
116#17988812C2211yescharacteristic
117#17988812C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic
119#17988811C2211yescharacteristic
120#17988811C2211yescharacteristic
121#17988811C2211yescharacteristic
122#17988811C2211yescharacteristic
123#17988811C2211yescharacteristic, complemented
124#17988811C2211yescharacteristic, complemented
125#17988811C2211yescharacteristic, complemented
126#17988811C2211yescharacteristic, complemented
127#17988811C2211yescharacteristic, complemented
128#17988810C2211yescharacteristic
129#17988809C2211yescharacteristic
130#17988808C2211yescharacteristic, complemented
131#17988807C2211yescharacteristic, complemented
132#17988807C2211yescharacteristic, complemented
133#17988807C2211yescharacteristic, complemented
134#17988806C2211yescharacteristic, complemented
135#17988796C2211yescharacteristic, complemented
136#17988795C2211yescharacteristic, complemented
137#17988795C2211yescharacteristic, complemented
138#17988795C2211yescharacteristic, complemented
139#17988791C2211yescharacteristic
140#17988790C2211yescharacteristic, complemented
141#17988789C2211yescharacteristic, complemented
142#17988785C2211yescharacteristic
143#17988785C2211yescharacteristic
144#17988751C2211yescharacteristic, complemented
145#17988749C2211yescharacteristic, complemented
146#17988747C2211yescharacteristic, complemented
147#17988743C2211yescharacteristic, complemented
148#17988743C2211yescharacteristic, complemented
149#17988741C2211yescharacteristic, complemented
150#17988741C2211yescharacteristic, complemented
151#17988741C2211yescharacteristic, complemented
152#17988740C2211yescharacteristic
153#17988737C2211yescharacteristic
154#17988736C2211yescharacteristic
155#17988736C2211yescharacteristic
156#17988727C2211yescharacteristic
157#17988726C2211yescharacteristic
158#17988716C2211yescharacteristic, complemented
159#17988715C2211yescharacteristic, complemented
160#17988692C2211yescharacteristic, complemented
161#17988691C2211yescharacteristic, complemented
162#17988691C2211yescharacteristic, complemented
163#17988689C2211yescharacteristic, complemented
164#17988688C2211yescharacteristic, complemented
165#17988688C2211yescharacteristic, complemented
166#17988685C2211yescharacteristic, complemented
167Q16×Dic73C2211yescharacteristic, complemented
168Q16×Dic73C2211yescharacteristic, complemented
169#17988672C2211yescharacteristic
170#17988672C2211yescharacteristic
171#17988661C2211yescharacteristic, complemented
172#17988659C2211yescharacteristic, complemented
173#17988656C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic
175#17988650C2211yescharacteristic
176#17988642C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic, complemented
179#17988610C2211yescharacteristic, complemented
180C2×#14556520C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988589C2211yescharacteristic, complemented
183#17988588C2211yescharacteristic, complemented
184C2×#14556515C2211yescharacteristic, complemented
185#103×D73C2211yescharacteristic, complemented
186C2×#14556513C2211yescharacteristic
187#102×D73C2211yescharacteristic
188C2×#137×C73C2211yescharacteristic, complemented
189C22×Q16×C73C2211yescharacteristic, complemented
190D4×Q8×C73C2211yescharacteristic, complemented
191#548×C73C2211yescharacteristic
192#497×C73C2211yescharacteristic, complemented
193#470×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic
195#464×C73C2211yescharacteristic, complemented
196#462×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#451×C73C2211yescharacteristic, complemented
199#451×C73C2211yescharacteristic, complemented
200#448×C73C2211yescharacteristic
201#441×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027D411yescharacteristic
205C2×Q8×D73C2311yescharacteristic
206C2×Q8×D73C2311yescharacteristic
207C22×D292C2311yescharacteristic
208C2×D4×D73—21no—
209C2×D4×D73C2311yescharacteristic
210#14556622—42no—
211C2×Dic292C2311yescharacteristic
212C2×#11924018C2311yescharacteristic
213C2×#11924018C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217Q16×D73—42no—
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924015—42no—
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228SD16×D73—42no—
229C2×#11924012C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233#14556591—21no—
234#14556591C2311yescharacteristic
235#14556590—21no—
236#14556590—21no—
237#14556590C2311yescharacteristic
238#14556590C2311yescharacteristic
239#14556589—21no—
240#14556589—21no—
241#14556589—21no—
242#14556589C2311yescharacteristic
243#14556589C2311yescharacteristic
244#14556589C2311yescharacteristic
245#14556587C2311yescharacteristic
246#14556586—21no—
247#14556586—21no—
248#14556586—21no—
249#14556585—21no—
250#14556584—21no—
251#14556582—21no—
252#14556582—21no—
253#14556582—21no—
254#14556582C2311yescharacteristic
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556581—21no—
261#14556580—21no—
262#14556580—21no—
263#14556580C2311yescharacteristic
264#14556580C2311yescharacteristic
265#14556580C2311yescharacteristic
266#14556580C2311yescharacteristic
267#14556579C2311yescharacteristic
268#14556578C2311yescharacteristic
269#14556577—21no—
270#14556577—21no—
271#14556577—21no—
272#14556577—21no—
273#14556576—21no—
274#14556576—21no—
275#14556575—21no—
276#14556575—21no—
277#14556574—21no—
278#14556573—21no—
279#14556572—21no—
280#14556571—21no—
281#14556571—21no—
282#14556571—21no—
283#14556570—21no—
284#14556570—21no—
285#14556570—21no—
286#14556570C2311yescharacteristic
287#14556570C2311yescharacteristic
288#14556570C2311yescharacteristic
289#14556569—21no—
290#14556569—21no—
291#14556568—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556567—21no—
298#14556567—21no—
299#14556567—21no—
300#14556567C2311yescharacteristic
301#14556567C2311yescharacteristic
302#14556567C2311yescharacteristic
303#14556566C2311yescharacteristic
304#14556565C2311yescharacteristic
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556561—21no—
312#14556559—21no—
313#14556559—21no—
314#14556559—21no—
315Q8×Dic73—21no—
316Q8×Dic73—21no—
317Q8×Dic73—21no—
318Q8×Dic73—21no—
319Q8×Dic73C2311yescharacteristic
320Q8×Dic73C2311yescharacteristic
321Q8×Dic73C2311yescharacteristic
322Q8×Dic73C2311yescharacteristic
323Q8×Dic73C2311yescharacteristic
324Q8×Dic73C2311yescharacteristic
325Q8×Dic73C2311yescharacteristic
326Q8×Dic73C2311yescharacteristic
327C4×Dic146—21no—
328C4×Dic146—21no—
329C4×Dic146C2311yescharacteristic
330C4×Dic146C2311yescharacteristic
331#14556556—21no—
332#14556556—21no—
333#14556556—21no—
334#14556556—21no—
335#14556556—21no—
336#14556556D411yescharacteristic
337#14556556C2311yescharacteristic
338#14556556C2311yescharacteristic
339C4×D292—21no—
340C4×D292C2311yescharacteristic
341D4×Dic73—21no—
342D4×Dic73—21no—
343D4×Dic73D411yescharacteristic
344D4×Dic73C2311yescharacteristic
345#14556553—21no—
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#14556549—21no—
361#14556549—21no—
362#14556549D411yescharacteristic
363#14556548—21no—
364#14556548—21no—
365#14556547—21no—
366#14556547—21no—
367#14556547—21no—
368#14556547D411yescharacteristic
369#14556547D411yescharacteristic
370C2×C4⋊Dic73—21no—
371C2×C4⋊Dic73—21no—
372C2×C4⋊Dic73C2311yescharacteristic
373C2×C4⋊Dic73C2311yescharacteristic
374C4⋊C4×D73—21no—
375C4⋊C4×D73C2311yescharacteristic
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#14556525C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556522C2311yescharacteristic
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#14556516C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
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
440C22×Q8×C73C2311yescharacteristic
441C22×Q8×C73C2311yescharacteristic
442C22×Q8×C73C2311yescharacteristic
443#137×C73—42no—
444C2×Q16×C73—42no—
445C2×Q16×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic
447C2×Q16×C73C2311yescharacteristic
448C2×Q16×C73C2311yescharacteristic
449C2×Q16×C73C2311yescharacteristic
450C2×Q16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456C4⋊Q8×C73—21no—
457C4⋊Q8×C73C2311yescharacteristic
458#124×C73—21no—
459#124×C73C2311yescharacteristic
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73—21no—
462C22⋊Q8×C73—21no—
463C22⋊Q8×C73C2311yescharacteristic
464C22⋊Q8×C73C2311yescharacteristic
465C22⋊Q8×C73C2311yescharacteristic
466#121×C73—21no—
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#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924028—41no—
487#11924028—41no—
488#11924027—24no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×Dic146C2411yescharacteristic
497Q8×D73—22no—
498Q8×D73—41no—
499Q8×D73—41no—
500Q8×D73—41no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—41no—
504C2×D292—41no—
505C2×D292C2411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73C2×D411yescharacteristic
513C2×C22⋊D73C2×D411yescharacteristic
514D4×D73—41no—
515D4×D73—41no—
516D4×D73—44no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73C2×D411yescharacteristic
521C22×Dic73C2×D411yescharacteristic
522C22×Dic73C2×D411yescharacteristic
523C22×Dic73C2×D411yescharacteristic
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73C2×D411yescharacteristic
531C2×C4×D73C2×D411yescharacteristic
532C2×C4×D73C2411yescharacteristic
533Dic292—41no—
534#11924018—22no—
535#11924018—41no—
536#11924018—41no—
537#11924018—41no—
538#11924018—41no—
539#11924017—41no—
540#11924017—41no—
541#11924016—41no—
542#11924015—22no—
543#11924015—22no—
544#11924015—41no—
545#11924015—41no—
546#11924015—41no—
547#11924015—41no—
548#11924012—41no—
549C2×#10596831—41no—
550C2×#10596831C2411yescharacteristic
551C2×#10596831C2411yescharacteristic
552C2×#10596831C2411yescharacteristic
553C2×#10596831C2411yescharacteristic
554C8×D73—41no—
555C8×D73—41no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73C2×D411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
571C4⋊Dic73C2411yescharacteristic
572C4⋊Dic73C2411yescharacteristic
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
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#11924005C2×D411yescharacteristic
622#11924005C2×D411yescharacteristic
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73C2×D411yescharacteristic
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643#41×C73—41no—
644#41×C73—41no—
645C2×Q8×C73—21no—
646C2×Q8×C73—21no—
647C2×Q8×C73—21no—
648C2×Q8×C73—22no—
649C2×Q8×C73—22no—
650C2×Q8×C73—41no—
651C2×Q8×C73—41no—
652C2×Q8×C73—41no—
653C2×Q8×C73—41no—
654C2×Q8×C73C2411yescharacteristic
655C2×Q8×C73C2411yescharacteristic
656C2×Q8×C73C2411yescharacteristic
657C2×Q8×C73C2411yescharacteristic
658C2×Q8×C73C2411yescharacteristic
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73C2×D411yescharacteristic
662C2×D4×C73C2411yescharacteristic
663C22×C4×C73—21no—
664C22×C4×C73—21no—
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73C2411yescharacteristic
668C22×C4×C73C2411yescharacteristic
669Q16×C73—22no—
670Q16×C73—22no—
671Q16×C73—41no—
672Q16×C73—41no—
673Q16×C73—41no—
674Q16×C73—41no—
675SD16×C73—22no—
676SD16×C73—41no—
677SD16×C73—41no—
678M16×C73—41no—
679C2×C8×C73—41no—
680C2×C8×C73C2411yescharacteristic
681C2×C8×C73C2411yescharacteristic
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73—21no—
691C4⋊C4×C73C2×D411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73C2×D411yescharacteristic
701C22⋊C4×C73C2×D411yescharacteristic
702C42×C73—21no—
703C42×C73—21no—
704C42×C73C2411yescharacteristic
705C23×C73—21no—
706C23×C73C22×D411yescharacteristic
707C23×C73C22×D411yescharacteristic
708C22×D73—21no—
709C22×D73—21no—
710C22×D73—42no—
711C22×D73—42no—
712C22×D73—81no—
713C22×D73—81no—
714C22×D73—81no—
715C22×D73—81no—
716C22×D73C22×D411yescharacteristic
717Q8×C73—21no—
718Q8×C73—21no—
719Q8×C73—21no—
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—42no—
727Q8×C73—42no—
728Q8×C73—81no—
729Q8×C73H(5,𝔽2)12yes—
730D4×C73—22no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—42no—
734D4×C73—81no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—42no—
747C2×C4×C73—42no—
748C2×C4×C73—81no—
749C2×C4×C73—81no—
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C2511yescharacteristic
755C22⋊D73—22no—
756C22⋊D73—42no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C22⋊D73—81no—
761C22⋊D73#13714yescomplemented
762C2×Dic73—22no—
763C2×Dic73—22no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—41no—
771C2×Dic73—41no—
772C2×Dic73—81no—
773C2×Dic73—81no—
774C2×Dic73—81no—
775C2×Dic73C22×D411yescharacteristic
776C2×Dic73C22×D411yescharacteristic
777C2×Dic73C22×D411yescharacteristic
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782D292—21no—
783D292—21no—
784D292—21no—
785D292—21no—
786D292—42no—
787D292—81no—
788C4×D73—22no—
789C4×D73—21no—
790C4×D73—21no—
791C4×D73—41no—
792C4×D73—42no—
793C4×D73—42no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798Dic146—22no—
799Dic146—21no—
800Dic146—21no—
801Dic146—21no—
802Dic146—21no—
803Dic146—42no—
804Dic146—81no—
805Dic146—81no—
806Dic146—81no—
807Dic146—81no—
808C8×C73—21no—
809C8×C73—21no—
810C8×C73—21no—
811C8×C73—21no—
812#10596831—21no—
813#10596831—21no—
814#10596831—21no—
815#10596831—21no—
816C22×C73—21no—
817C22×C73—21no—
818C22×C73—21no—
819C22×C73—21no—
820C22×C73—21no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73C2×#13712yes—
825C22×C73C23×D411yescharacteristic
826C2×D73—21no—
827C2×D73—21no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—162no—
835C2×D73—162no—
836C2×D73C2×#13712yes—
837C4×C73—21no—
838C4×C73—22no—
839C4×C73—21no—
840C4×C73—21no—
841C4×C73—21no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73—41no—
846C4×C73—41no—
847C4×C73—41no—
848C4×C73C2×H(5,𝔽2)11yescharacteristic
849C4×C73#58511yescharacteristic
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—21no—
855Dic73—21no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860Dic73—41no—
861Dic73—41no—
862Dic73C2×#13712yes—
863#61991—731nomaximal, Sylow
864C2×C73—22no—
865C2×C73—41no—
866C2×C73—81no—
867C2×C73#348811yescharacteristic
868C2×C73C22×#13711yescharacteristic
869C2×C73#358411yescharacteristic
870D73—22no—
871D73—81no—
872D73—81no—
873#3514—731no—
874Q8×#41—731no—
875#3400—731no—
876#3398—731no—
877#3375—731no—
878#3369—731no—
879#3316—731no—
880#3316—731no—
881#3314—731no—
882#3314—731no—
883#3299—731no—
884#3295—731no—
885D4×Q16—731no—
886D4×SD16—731no—
887#3270—731no—
888#3270D7311yescharacteristic, complemented
889#3266—731no—
890#3266—731no—
891#3252—731no—
892#3248—731no—
893#3248—731no—
894#3215—731no—
895#3215—731no—
896#3210—731no—
897#3117—731no—
898#3117—731no—
899#3108—731no—
900#3037—731no—
901C2×#464—731no—
902C2×#464—731no—
903#2990—731no—
904C73#6199111yescharacteristic, complemented, Sylow
905C2×#137—731no—
906C2×#137C2×D7311yescharacteristic, complemented
907C22×Q16—731no—
908C22×Q16C2×D7311yescharacteristic, complemented
909C22×SD16—731no—
910C22×SD16—731no—
911#559—731no—
912Q82—731no—
913#557—731no—
914#557—1461no—
915#556—731no—
916#555—1461no—
917#554—731no—
918#554—731no—
919#554—731no—
920#554—1461no—
921#554—1461no—
922#554—1461no—
923#551—1461no—
924#551—1461no—
925D4×Q8—731no—
926D4×Q8—731no—
927D4×Q8—731no—
928D4×Q8C2×D7311yescharacteristic, complemented
929#548—731no—
930#548C2×D7311yescharacteristic
931#546—731no—
932#546—731no—
933#546—1461no—
934D42—731no—
935#542—1461no—
936#538—1461no—
937#538—1461no—
938#533—731no—
939#533—731no—
940#533—731no—
941#533—1461no—
942#533—1461no—
943#533—1461no—
944#532—731no—
945#529—731no—
946#529—731no—
947#529—731no—
948C2×#124—731no—
949C2×#124—731no—
950#518—1461no—
951C4×#41—731no—
952C4×#41—1461no—
953C2×C4×Q8—731no—
954C2×C4×Q8—731no—
955C2×C4×Q8—731no—
956#497—731no—
957#497—731no—
958#497—731no—
959#497C2×D7311yescharacteristic, complemented
960#494—731no—
961#492—731no—
962#489—731no—
963#489—731no—
964#489—731no—
965#489—731no—
966#487—731no—
967#486—731no—
968#484—731no—
969#484—731no—
970#483—731no—
971#481—731no—
972#481—731no—
973#480—731no—
974#479—731no—
975#479—731no—
976#479—731no—
977#479—731no—
978#477—731no—
979#476—731no—
980#475—731no—
981#475—731no—
982#474—731no—
983#474—731no—
984#470—731no—
985#470C2×D7311yescharacteristic, complemented
986#468—731no—
987#468—731no—
988#467—731no—
989#467—731no—
990#467—731no—
991#467—731no—
992#465—731no—
993#465—731no—
994#465—731no—
995#465C2×D7311yescharacteristic
996#464—731no—
997#464—731no—
998#464—731no—
999#464—731no—
1000#464—731no—
1001#464—731no—
1002#464—731no—
1003#464—731no—
1004#464—731no—
1005#464—731no—
1006#464—731no—
1007#464—731no—
1008#464—731no—
1009#464—731no—
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#464—731no—
1015#464C2×D7311yescharacteristic, complemented
1016#462—731no—
1017#462—731no—
1018#462—731no—
1019#462—731no—
1020#462C2×D7311yescharacteristic, complemented
1021#461—731no—
1022#461—731no—
1023#461—731no—
1024#460—731no—
1025#460—731no—
1026#452—731no—
1027#452—731no—
1028#452—731no—
1029#452C2×D7311yescharacteristic, complemented
1030#451—731no—
1031#451—731no—
1032#451—731no—
1033#451—731no—
1034#451—731no—
1035#451C2×D7311yescharacteristic, complemented
1036#451C2×D7311yescharacteristic, complemented
1037#450—731no—
1038#450—731no—
1039#450—731no—
1040#450—731no—
1041#448—731no—
1042#448—731no—
1043#448C2×D7311yescharacteristic
1044#446—731no—
1045#446—731no—
1046#441—731no—
1047#441—731no—
1048#441—731no—
1049#441C2×D7311yescharacteristic, complemented
1050#440—731no—
1051#440—731no—
1052#440—731no—
1053#440—731no—
1054C4×Q16—731no—
1055C4×Q16—731no—
1056C4×SD16—731no—
1057C4×SD16—731no—
1058#435—731no—
1059#435—731no—
1060#435—731no—
1061#435C2×D7311yescharacteristic, complemented
1062C8×D4—731no—
1063C8×D4—731no—
1064#432—731no—
1065#432—731no—
1066#431—731no—
1067#423—731no—
1068C2×C4⋊C8—731no—
1069C2×C4⋊C8—731no—
1070#417—731no—
1071#417—731no—
1072C2×#103—731no—
1073C2×#103—731no—
1074C2×#102—731no—
1075C2×#102—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41C22×D7311yescharacteristic
1079C22×Q8—731no—
1080C22×Q8—731no—
1081C22×Q8C22×D7311yescharacteristic
1082C22×Q8C22×D7311yescharacteristic
1083C22×Q8C22×D7311yescharacteristic
1084C22×D4—731no—
1085C22×D4—731no—
1086C22×D4—1461no—
1087#137—42no—
1088#137—2922no—
1089C2×Q16—42no—
1090C2×Q16—2922no—
1091C2×Q16—731no—
1092C2×Q16—731no—
1093C2×Q16—731no—
1094C2×Q16—731no—
1095C2×Q16—731no—
1096C2×Q16—731no—
1097C2×Q16C22×D7311yescharacteristic
1098C2×Q16C22×D7311yescharacteristic
1099C2×Q16C22×D7311yescharacteristic
1100C2×Q16C22×D7311yescharacteristic
1101C2×Q16C22×D7311yescharacteristic
1102C2×Q16C22×D7311yescharacteristic
1103C2×SD16—2922no—
1104C2×SD16—2922no—
1105C2×SD16—731no—
1106C2×SD16—731no—
1107C2×SD16—731no—
1108C2×SD16—731no—
1109C2×SD16—731no—
1110C2×SD16—731no—
1111C2×SD16—731no—
1112C2×SD16—731no—
1113C2×SD16—731no—
1114C2×SD16C22×D7311yescharacteristic
1115C2×SD16C22×D7311yescharacteristic
1116C2×SD16C22×D7311yescharacteristic
1117C2×M16—731no—
1118C2×M16C22×D7311yescharacteristic
1119C22×C8—731no—
1120C22×C8—731no—
1121C22×C8—731no—
1122C22×C8C22×D7311yescharacteristic
1123C4⋊Q8—21no—
1124C4⋊Q8—731no—
1125C4⋊Q8—731no—
1126C4⋊Q8—731no—
1127C4⋊Q8—731no—
1128C4⋊Q8—731no—
1129C4⋊Q8—731no—
1130C4⋊Q8—1461no—
1131C4⋊Q8—1461no—
1132C4⋊Q8—1461no—
1133C4⋊Q8—1461no—
1134C4⋊Q8—1461no—
1135C4⋊Q8—1461no—
1136C4⋊Q8C22×D7311yescharacteristic
1137#127—731no—
1138#126—1461no—
1139#126—1461no—
1140#126—1461no—
1141#126—1461no—
1142#126—1461no—
1143#125—731no—
1144#125—1461no—
1145#125—1461no—
1146#125—1461no—
1147#125—1461no—
1148#125—1461no—
1149#125—1461no—
1150#125—1461no—
1151#125—1461no—
1152#125—1461no—
1153#124—21no—
1154#124—731no—
1155#124—731no—
1156#124—731no—
1157#124—731no—
1158#124—731no—
1159#124—731no—
1160#124—1461no—
1161#124—1461no—
1162#124—1461no—
1163#124—1461no—
1164#124—1461no—
1165#124—1461no—
1166#124C22×D7311yescharacteristic
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172#123—1461no—
1173#123—1461no—
1174C22⋊Q8—21no—
1175C22⋊Q8—21no—
1176C22⋊Q8—21no—
1177C22⋊Q8—731no—
1178C22⋊Q8—731no—
1179C22⋊Q8—731no—
1180C22⋊Q8—731no—
1181C22⋊Q8—731no—
1182C22⋊Q8—731no—
1183C22⋊Q8—1461no—
1184C22⋊Q8—1461no—
1185C22⋊Q8—1461no—
1186C22⋊Q8—1461no—
1187C22⋊Q8—1461no—
1188C22⋊Q8—1461no—
1189C22⋊Q8—1461no—
1190C22⋊Q8—1461no—
1191C22⋊Q8—1461no—
1192C22⋊Q8—1461no—
1193C22⋊Q8—1461no—
1194C22⋊Q8—1461no—
1195C22⋊Q8—1461no—
1196C22⋊Q8—1461no—
1197C22⋊Q8—1461no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8C22×D7311yescharacteristic
1201C22⋊Q8C22×D7311yescharacteristic
1202C22⋊Q8C22×D7311yescharacteristic
1203#121—21no—
1204#121—731no—
1205#121—731no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121C22×D7311yescharacteristic
1213#120—1461no—
1214#120—1461no—
1215#120—1461no—
1216#120—1461no—
1217C4×Q8—731no—
1218C4×Q8—731no—
1219C4×Q8—731no—
1220C4×Q8—731no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—731no—
1227C4×Q8—731no—
1228C4×Q8—731no—
1229C4×Q8—731no—
1230C4×Q8—1461no—
1231C4×Q8—1461no—
1232C4×Q8—1461no—
1233C4×Q8—1461no—
1234C4×Q8—1461no—
1235C4×Q8—1461no—
1236C4×Q8—1461no—
1237C4×Q8—1461no—
1238C4×Q8—1461no—
1239C4×Q8—1461no—
1240C4×Q8—1461no—
1241C4×Q8C22×D7311yescharacteristic
1242C4×Q8C22×D7311yescharacteristic
1243C4×D4—21no—
1244C4×D4—21no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4C22×D7311yescharacteristic
1267#117—731no—
1268#117—731no—
1269#117—731no—
1270#117—1461no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117—1461no—
1277C2×C4⋊C4—731no—
1278C2×C4⋊C4—731no—
1279C2×C4⋊C4—731no—
1280C2×C4⋊C4—1461no—
1281C2×C4⋊C4—1461no—
1282C2×C4⋊C4—1461no—
1283C2×C22⋊C4—1461no—
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C42—731no—
1290C2×C42—731no—
1291C2×C42—731no—
1292C2×C42—1461no—
1293C2×C42—1461no—
1294C2×C42—1461no—
1295#107—731no—
1296#107—731no—
1297#107—731no—
1298#107—731no—
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106C22×D7311yescharacteristic
1303C4⋊C8—731no—
1304C4⋊C8—731no—
1305C4⋊C8—731no—
1306C4⋊C8—731no—
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8C22×D7311yescharacteristic
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103C22×D7311yescharacteristic
1329#103C22×D7311yescharacteristic
1330#103C22×D7311yescharacteristic
1331#103C22×D7311yescharacteristic
1332#103C22×D7311yescharacteristic
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102C22×D7311yescharacteristic
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8C22×D7311yescharacteristic
1350C22⋊C8C22×D7311yescharacteristic
1351#97—731no—
1352#97—731no—
1353#97—731no—
1354#97C22×D7311yescharacteristic
1355C4×C8—731no—
1356C4×C8—731no—
1357C24—1461no—
1358C24—1461no—
1359#41—41no—
1360#41—41no—
1361#41—2921no—
1362#41—2921no—
1363#41—1464no—
1364C2×Q8—21no—
1365C2×Q8—21no—
1366C2×Q8—21no—
1367C2×Q8—22no—
1368C2×Q8—22no—
1369C2×Q8—41no—
1370C2×Q8—41no—
1371C2×Q8—41no—
1372C2×Q8—41no—
1373C2×Q8—2921no—
1374C2×Q8—2921no—
1375C2×Q8—2921no—
1376C2×Q8—731no—
1377C2×Q8—731no—
1378C2×Q8—731no—
1379C2×Q8—1461no—
1380C2×Q8—1461no—
1381C2×Q8—1461no—
1382C2×Q8—1461no—
1383C2×Q8—1462no—
1384C2×Q8—1461no—
1385C2×Q8C23×D7311yescharacteristic
1386C2×Q8C23×D7311yescharacteristic
1387C2×Q8C23×D7311yescharacteristic
1388C2×Q8C23×D7311yescharacteristic
1389C2×Q8C23×D7311yescharacteristic
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—2921no—
1393C2×D4—2921no—
1394C2×D4—2924no—
1395C2×D4—2921no—
1396C2×D4—2921no—
1397C2×D4—731no—
1398C2×D4—731no—
1399C2×D4—731no—
1400C2×D4—731no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4D4×D7311yescharacteristic
1409C2×D4C23×D7311yescharacteristic
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—731no—
1415C22×C4—731no—
1416C22×C4—731no—
1417C22×C4—731no—
1418C22×C4—731no—
1419C22×C4—731no—
1420C22×C4—731no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4C23×D7311yescharacteristic
1431C22×C4C23×D7311yescharacteristic
1432Q16—22no—
1433Q16—22no—
1434Q16—41no—
1435Q16—41no—
1436Q16—41no—
1437Q16—41no—
1438Q16—2921no—
1439Q16—2921no—
1440Q16—2921no—
1441Q16—2921no—
1442Q16—2921no—
1443Q16—1462no—
1444SD16—22no—
1445SD16—41no—
1446SD16—41no—
1447SD16—2921no—
1448SD16—2921no—
1449SD16—2921no—
1450SD16—2921no—
1451SD16—2921no—
1452SD16—2921no—
1453SD16—2921no—
1454SD16—1462no—
1455SD16—1462no—
1456M16—41no—
1457M16—2921no—
1458C2×C8—41no—
1459C2×C8—2921no—
1460C2×C8—2921no—
1461C2×C8—2921no—
1462C2×C8—731no—
1463C2×C8—731no—
1464C2×C8—731no—
1465C2×C8—731no—
1466C2×C8C23×D7311yescharacteristic
1467C2×C8C23×D7311yescharacteristic
1468C2×C8C23×D7311yescharacteristic
1469C2×C8C23×D7311yescharacteristic
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—731no—
1478C4⋊C4—731no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4D4×D7311yescharacteristic
1518C4⋊C4C23×D7311yescharacteristic
1519C4⋊C4C23×D7311yescharacteristic
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—731no—
1527C22⋊C4—731no—
1528C22⋊C4—731no—
1529C22⋊C4—731no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4D4×D7311yescharacteristic
1554C22⋊C4D4×D7311yescharacteristic
1555C42—21no—
1556C42—21no—
1557C42—731no—
1558C42—731no—
1559C42—731no—
1560C42—731no—
1561C42—731no—
1562C42—731no—
1563C42—731no—
1564C42—731no—
1565C42—731no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42—1461no—
1571C42—1461no—
1572C42—1461no—
1573C42—1461no—
1574C42—1461no—
1575C42—1461no—
1576C42—1461no—
1577C42C23×D7311yescharacteristic
1578C23—21no—
1579C23—2922no—
1580C23—2922no—
1581C23—5841no—
1582C23—5841no—
1583C23—5841no—
1584C23—5841no—
1585C23—731no—
1586C23—1461no—
1587C23—1461no—
1588C23C2×D4×D7311yescharacteristic
1589C23C2×D4×D7311yescharacteristic
1590Q8—21no—
1591Q8—21no—
1592Q8—21no—
1593Q8—21no—
1594Q8—21no—
1595Q8—21no—
1596Q8—21no—
1597Q8—21no—
1598Q8—21no—
1599Q8—42no—
1600Q8—42no—
1601Q8—81no—
1602Q8—2922no—
1603Q8—5841no—
1604Q8—5841no—
1605Q8—5841no—
1606Q8—5841no—
1607Q8—1462no—
1608Q8—1461no—
1609Q8—1461no—
1610Q8—1461no—
1611Q8—1461no—
1612Q8#1455663612yes—
1613D4—22no—
1614D4—21no—
1615D4—21no—
1616D4—42no—
1617D4—81no—
1618D4—2922no—
1619D4—2922no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—734no—
1626D4—1462no—
1627D4—1461no—
1628D4—1461no—
1629D4—1461no—
1630D4—1461no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—42no—
1643C2×C4—42no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—2922no—
1647C2×C4—2921no—
1648C2×C4—2922no—
1649C2×C4—2921no—
1650C2×C4—2921no—
1651C2×C4—5841no—
1652C2×C4—5841no—
1653C2×C4—5841no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—731no—
1659C2×C4—731no—
1660C2×C4—731no—
1661C2×C4—731no—
1662C2×C4—731no—
1663C2×C4—731no—
1664C2×C4—731no—
1665C2×C4—1462no—
1666C2×C4—1461no—
1667C2×C4—1461no—
1668C2×C4—1461no—
1669C2×C4—1461no—
1670C2×C4—1461no—
1671C2×C4—1461no—
1672C2×C4—1462no—
1673C2×C4—1462no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4C2×D4×D7311yescharacteristic
1677C2×C4C2×D4×D7311yescharacteristic
1678C2×C4C2×D4×D7311yescharacteristic
1679C2×C4C2×D4×D7311yescharacteristic
1680C2×C4C24×D7311yescharacteristic
1681C8—21no—
1682C8—21no—
1683C8—21no—
1684C8—21no—
1685C8—1461no—
1686C8—1461no—
1687C8—1461no—
1688C8—1461no—
1689C22—21no—
1690C22—21no—
1691C22—21no—
1692C22—21no—
1693C22—21no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—2921no—
1698C22—2921no—
1699C22—2921no—
1700C22—2921no—
1701C22—2921no—
1702C22—2921no—
1703C22—732no—
1704C22—11682no—
1705C22—11682no—
1706C22—1461no—
1707C22—1461no—
1708C22#137×D7312yes—
1709C22C22×D4×D7311yescharacteristic
1710C4—21no—
1711C4—21no—
1712C4—22no—
1713C4—21no—
1714C4—21no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—2921no—
1722C4—2921no—
1723C4—2921no—
1724C4—2921no—
1725C4—2921no—
1726C4—2921no—
1727C4—732no—
1728C4—1461no—
1729C4—1461no—
1730C4—1461no—
1731C4—1461no—
1732C4—1461no—
1733C4—1461no—
1734C4C2×#1455663611yescharacteristic
1735C4#1798942211yescharacteristic
1736C2—22no—
1737C2—41no—
1738C2—81no—
1739C2—5841no—
1740C2—5841no—
1741C2—1462no—
1742C2#2262359111yescharacteristic
1743C2C2×#137×D7311yescharacteristic
1744C2#2262470111yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3270C2
socleC22×C73C23×D4
prime radical#22623885C2
hypercenter#3270D73
hypocenterC73#61991
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3270

Complements

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

NH ≅ G/Ntype
2. Q8×#11924027C2semidirect
3. #22622981C2semidirect
4. #22622957C2semidirect
5. #22622740C2semidirect
6. #22622672C2semidirect
7. #22622042C2semidirect
8. #22622037C2semidirect
9. #22622014C2semidirect
10. #22622005C2semidirect
11. #22621800C2semidirect
12. #22621750C2semidirect
13. Q16×C22⋊D73C2semidirect
14. #22621620C2semidirect
15. #22621504C2semidirect
16. #22621442C2semidirect
17. #22621435C2semidirect
18. #22621299C2semidirect
19. #22621266C2semidirect
20. #22621261C2semidirect
21. #22620933C2semidirect
22. #22620929C2semidirect
23. #22620885C2semidirect
24. #22620106C2semidirect
25. #22620097C2semidirect
26. #22620012C2semidirect
27. #22619400C2semidirect
28. C2×#17988811C2semidirect
29. #464×D73C2semidirect
30. #22619051C2semidirect
31. C73×#3270C2semidirect
32. C2×#14556622C22semidirect
33. C2×Q16×D73C22semidirect
37. Q8×Dic146C22semidirect
39. #17989312C22semidirect
45. #17989295C22semidirect
47. #17989294C22semidirect
52. Q8×C22⋊D73C22semidirect
62. #17989142C22semidirect
65. #17989139C22semidirect
66. #17989139C22semidirect
76. C2×Q8×Dic73C22semidirect
77. C2×Q8×Dic73C22semidirect
78. C4×Q8×D73C22semidirect
80. #17988980C22semidirect
82. #17988965C22semidirect
85. #17988948C22semidirect
87. #17988946C22semidirect
88. #17988936C22semidirect
90. #17988923C22semidirect
91. #17988921C22semidirect
92. #17988915C22semidirect
96. #17988897C22semidirect
97. #17988896C22semidirect
98. #17988896C22semidirect
99. #17988896C22semidirect
100. #17988880C22semidirect
102. #17988872C22semidirect
103. #17988871C22semidirect
104. #17988868C22semidirect
105. #17988865C22semidirect
106. #17988843C22semidirect
109. #17988828C22semidirect
110. #17988826C22semidirect
111. #17988825C22semidirect
112. #17988825C22semidirect
117. #17988812C22semidirect
123. #17988811C22semidirect
124. #17988811C22semidirect
125. #17988811C22semidirect
126. #17988811C22semidirect
127. #17988811C22semidirect
130. #17988808C22semidirect
131. #17988807C22semidirect
132. #17988807C22semidirect
133. #17988807C22semidirect
134. #17988806C22semidirect
135. #17988796C22semidirect
136. #17988795C22semidirect
137. #17988795C22semidirect
138. #17988795C22semidirect
140. #17988790C22semidirect
141. #17988789C22semidirect
144. #17988751C22semidirect
145. #17988749C22semidirect
146. #17988747C22semidirect
147. #17988743C22semidirect
148. #17988743C22semidirect
149. #17988741C22semidirect
150. #17988741C22semidirect
151. #17988741C22semidirect
158. #17988716C22semidirect
159. #17988715C22semidirect
160. #17988692C22semidirect
161. #17988691C22semidirect
162. #17988691C22semidirect
163. #17988689C22semidirect
164. #17988688C22semidirect
165. #17988688C22semidirect
166. #17988685C22semidirect
167. Q16×Dic73C22semidirect
168. Q16×Dic73C22semidirect
171. #17988661C22semidirect
172. #17988659C22semidirect
173. #17988656C22semidirect
176. #17988642C22semidirect
177. #17988641C22semidirect
178. #17988637C22semidirect
179. #17988610C22semidirect
180. C2×#14556520C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988589C22semidirect
183. #17988588C22semidirect
184. C2×#14556515C22semidirect
185. #103×D73C22semidirect
188. C2×#137×C73C22semidirect
189. C22×Q16×C73C22semidirect
190. D4×Q8×C73C22semidirect
192. #497×C73C22semidirect
193. #470×C73C22semidirect
195. #464×C73C22semidirect
196. #462×C73C22semidirect
197. #452×C73C22semidirect
198. #451×C73C22semidirect
199. #451×C73C22semidirect
201. #441×C73C22semidirect
202. #435×C73C22semidirect
761. C22⋊D73#137semidirect
888. #3270D73semidirect
904. C73#61991semidirect
906. C2×#137C2×D73semidirect
908. C22×Q16C2×D73semidirect
928. D4×Q8C2×D73semidirect
959. #497C2×D73semidirect
985. #470C2×D73semidirect
1015. #464C2×D73semidirect
1020. #462C2×D73semidirect
1029. #452C2×D73semidirect
1035. #451C2×D73semidirect
1036. #451C2×D73semidirect
1049. #441C2×D73semidirect
1061. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238852
Q8×#119240272
#226229812
#226229572
#226227402
#226226722
#226220422
#226220372
#226220142
#226220052
#226218002
#226217502
Q16×C22⋊D732
#226216202
#226215042
#226214422
#226214352
#226212992
#226212662
#226212612
#226209332
#226209292
#226208852
#226201062
#226200972
#226200122
#226194002
C2×#179888112
#464×D732
#226190512
C73×#32702
#6199173