Finite Group Databasebeta

← #30556780

Subgroups — #30556780

Order 15616.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459386C211yesmaximal, characteristic, complemented
2#41×D244C211yesmaximal, characteristic, complemented
3#21458002C211yesmaximal, characteristic, complemented
4#21457987C211yesmaximal, characteristic, complemented
5#21457972C211yesmaximal, characteristic, complemented
6#21457957C211yesmaximal, characteristic, complemented
7#21457942C211yesmaximal, characteristic, complemented
8#21457927C211yesmaximal, characteristic, complemented
9#21457912C211yesmaximal, characteristic, complemented
10#21457897C211yesmaximal, characteristic, complemented
11#21457882C211yesmaximal, characteristic, complemented
12#21457867C211yesmaximal, characteristic, complemented
13#21457852C211yesmaximal, characteristic, complemented
14#21457837C211yesmaximal, characteristic, complemented
15#21457822C211yesmaximal, characteristic, complemented
16#21457807C211yesmaximal, characteristic, complemented
17#21457792C211yesmaximal, characteristic, complemented
18#21457777C211yesmaximal, characteristic, complemented
19#21456167C211yesmaximal, characteristic, complemented
20#21455736C211yesmaximal, characteristic, complemented
21#21455736C211yesmaximal, characteristic, complemented
22#21455429C211yesmaximal, characteristic, complemented
23#21455401C211yesmaximal, characteristic, complemented
24#21455276C211yesmaximal, characteristic, complemented
25#21455039C211yesmaximal, characteristic, complemented
26#21455039C211yesmaximal, characteristic, complemented
27#21454617C211yesmaximal, characteristic, complemented
28C2×#16839832C211yesmaximal, characteristic, complemented
29#21454334C211yesmaximal, characteristic, complemented
30#416×D61C211yesmaximal, characteristic, complemented
31C61×#3076C211yesmaximal, characteristic, complemented
32C2×#41×D61C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C2×#14519799C2211yescharacteristic, complemented
35C2×#14519799C2211yescharacteristic, complemented
36C2×#14519797C2211yescharacteristic
37C22×#11758189C2211yescharacteristic, complemented
38C22×C8×D61C2211yescharacteristic, complemented
39#16840486C2211yescharacteristic, complemented
40#16840478C2211yescharacteristic, complemented
41#16840473C2211yescharacteristic, complemented
42#16840465C2211yescharacteristic
43#16840465C2211yescharacteristic, complemented
44#16840454—21no—
45#16840450C2211yescharacteristic
46#16840450C2211yescharacteristic, complemented
47#16840439—21no—
48#16840439—21no—
49#16840434C2211yescharacteristic
50Q8×D244C2211yescharacteristic
51#16840424C2211yescharacteristic
52#16840424C2211yescharacteristic
53#16840416—21no—
54#16840416C2211yescharacteristic
55#16840415C2211yescharacteristic, complemented
56#16840407—21no—
57#16840407—21no—
58#16840407C2211yescharacteristic
59#16840407C2211yescharacteristic
60#16840403—21no—
61D4×D244—21no—
62D4×D244C2211yescharacteristic
63#16840312—21no—
64#16840312C2211yescharacteristic
65#16840299—21no—
66#16840299—21no—
67#16840299—21no—
68#16840274—21no—
69#16840274—21no—
70#16840274C2211yescharacteristic
71#16840274C2211yescharacteristic
72#16840274C2211yescharacteristic, complemented
73#16840274C2211yescharacteristic, complemented
74C4×#11758226—21no—
75C4×#11758222C2211yescharacteristic, complemented
76C2×C4×D244—21no—
77C2×C4×D244C2211yescharacteristic
78#117×D61C2211yescharacteristic, complemented
79#117×D61C2211yescharacteristic, complemented
80#16840132C2211yescharacteristic, complemented
81#16840132C2211yescharacteristic, complemented
82#16840128C2211yescharacteristic, complemented
83#16840128C2211yescharacteristic, complemented
84#16840124C2211yescharacteristic, complemented
85#16840124C2211yescharacteristic, complemented
86#16840124C2211yescharacteristic, complemented
87#16840124C2211yescharacteristic, complemented
88#16840106C2211yescharacteristic, complemented
89#16840106C2211yescharacteristic, complemented
90#16840105C2211yescharacteristic, complemented
91#16840105C2211yescharacteristic, complemented
92#16840099C2211yescharacteristic, complemented
93#16840099C2211yescharacteristic, complemented
94#16840094C2211yescharacteristic, complemented
95#16840094C2211yescharacteristic, complemented
96#16840089C2211yescharacteristic, complemented
97#16840089C2211yescharacteristic, complemented
98#16840088C2211yescharacteristic, complemented
99#16840088C2211yescharacteristic, complemented
100#16840082C2211yescharacteristic, complemented
101#16840082C2211yescharacteristic, complemented
102#16840077C2211yescharacteristic, complemented
103#16840077C2211yescharacteristic, complemented
104#16840021C2211yescharacteristic, complemented
105#16840021C2211yescharacteristic, complemented
106#16840016C2211yescharacteristic, complemented
107#16840016C2211yescharacteristic, complemented
108#16840009C2211yescharacteristic, complemented
109#16840009C2211yescharacteristic, complemented
110#16840009C2211yescharacteristic, complemented
111#16840009C2211yescharacteristic, complemented
112#16840004C2211yescharacteristic, complemented
113#16840004C2211yescharacteristic, complemented
114#16839999C2211yescharacteristic, complemented
115#16839999C2211yescharacteristic, complemented
116#16839992C2211yescharacteristic, complemented
117#16839992C2211yescharacteristic, complemented
118#16839992C2211yescharacteristic, complemented
119#16839992C2211yescharacteristic, complemented
120#16839985C2211yescharacteristic, complemented
121#16839985C2211yescharacteristic, complemented
122#16839978C2211yescharacteristic, complemented
123#16839978C2211yescharacteristic, complemented
124#16839973C2211yescharacteristic, complemented
125#16839968C2211yescharacteristic, complemented
126#16839963C2211yescharacteristic, complemented
127#16839958C2211yescharacteristic, complemented
128#16839927C2211yescharacteristic, complemented
129#16839927C2211yescharacteristic, complemented
130#16839925C2211yescharacteristic, complemented
131#16839925C2211yescharacteristic, complemented
132#16839919C2211yescharacteristic, complemented
133#16839919C2211yescharacteristic, complemented
134#16839914C2211yescharacteristic, complemented
135#16839914C2211yescharacteristic, complemented
136#16839910C2211yescharacteristic, complemented
137#16839910C2211yescharacteristic, complemented
138#16839908C2211yescharacteristic, complemented
139#16839908C2211yescharacteristic, complemented
140#16839902C2211yescharacteristic, complemented
141#16839902C2211yescharacteristic, complemented
142#16839897C2211yescharacteristic, complemented
143#16839897C2211yescharacteristic, complemented
144#16839872C2211yescharacteristic, complemented
145#16839872C2211yescharacteristic, complemented
146#16839867C2211yescharacteristic, complemented
147#16839867C2211yescharacteristic, complemented
148#16839862C2211yescharacteristic, complemented
149#16839862C2211yescharacteristic, complemented
150#16839860C2211yescharacteristic, complemented
151#16839860C2211yescharacteristic, complemented
152#16839832C2211yescharacteristic
153#16839832C2211yescharacteristic
154#16839832C2211yescharacteristic, complemented
155#16839832C2211yescharacteristic, complemented
156#16839832C2211yescharacteristic, complemented
157#16839832C2211yescharacteristic, complemented
158#16839832C2211yescharacteristic, complemented
159#16839832C2211yescharacteristic, complemented
160#16839798C2211yescharacteristic, complemented
161#16839769C2211yescharacteristic, complemented
162#16839769C2211yescharacteristic, complemented
163#16839765C2211yescharacteristic, complemented
164#16839765C2211yescharacteristic, complemented
165#16839762C2211yescharacteristic, complemented
166#16839762C2211yescharacteristic, complemented
167#16839760C2211yescharacteristic, complemented
168#16839760C2211yescharacteristic, complemented
169#16839759C2211yescharacteristic, complemented
170#16839759C2211yescharacteristic, complemented
171#16839758C2211yescharacteristic
172#16839757C2211yescharacteristic, complemented
173#16839757C2211yescharacteristic, complemented
174#16839756C2211yescharacteristic, complemented
175#16839756C2211yescharacteristic, complemented
176#16839756C2211yescharacteristic, complemented
177#16839756C2211yescharacteristic, complemented
178#16839756C2211yescharacteristic, complemented
179#16839755C2211yescharacteristic, complemented
180#16839755C2211yescharacteristic, complemented
181#103×D61C2211yescharacteristic, complemented
182#103×D61C2211yescharacteristic, complemented
183#102×D61C2211yescharacteristic, complemented
184#102×D61C2211yescharacteristic, complemented
185C2×#14519689C2211yescharacteristic, complemented
186C2×#14519689C2211yescharacteristic, complemented
187C2×#14519688C2211yescharacteristic, complemented
188C61×#533C2211yescharacteristic, complemented
189C4×#41×C61C2211yescharacteristic
190C61×#479C2211yescharacteristic, complemented
191C61×#479C2211yescharacteristic, complemented
192C61×#478C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#477C2211yescharacteristic, complemented
195C61×#476C2211yescharacteristic, complemented
196C61×#475C2211yescharacteristic, complemented
197C61×#474C2211yescharacteristic, complemented
198C61×#427C2211yescharacteristic, complemented
199C61×#427C2211yescharacteristic, complemented
200C2×C4⋊C8×C61C2211yescharacteristic, complemented
201C61×#416C2211yescharacteristic
202C61×#416C2211yescharacteristic
203C2×#11758226—21no—
204C2×#11758226C2311yescharacteristic
205C2×#11758226C2311yescharacteristic
206C2×#11758222—21no—
207C2×#11758222—21no—
208C2×#11758222C2311yescharacteristic
209C2×#11758222C2311yescharacteristic
210C2×#11758222C2311yescharacteristic
211C2×#11758224—21no—
212C2×#11758224—21no—
213C2×#11758224C2311yescharacteristic
214C2×#11758224C2311yescharacteristic
215#41×D61—24no—
216#41×D61—24no—
217#41×D61—42no—
218#41×D61—42no—
219C2×Q8×D61C2311yescharacteristic
220C2×Q8×D61C2311yescharacteristic
221C22×D244—21no—
222C22×D244D411yescharacteristic
223C2×D4×D61—21no—
224C2×D4×D61—21no—
225C2×D4×D61C2311yescharacteristic
226C2×D4×D61C2311yescharacteristic
227C22×C4×D61—21no—
228C22×C4×D61—21no—
229C22×C4×D61C2311yescharacteristic
230C22×C4×D61C2311yescharacteristic
231#14519799—42no—
232#14519799—42no—
233#14519797—24no—
234C2×Dic244C2311yescharacteristic
235C2×Dic244C2311yescharacteristic
236C2×#11758202C2311yescharacteristic
237C2×#11758190C2311yescharacteristic
238C2×#11758190C2311yescharacteristic
239C2×#11758190C2311yescharacteristic
240C2×#11758190C2311yescharacteristic
241C2×#11758200C2311yescharacteristic
242C2×#11758201C2311yescharacteristic
243C2×D488C2311yescharacteristic
244C2×D488C2311yescharacteristic
245C2×#11758199C2311yescharacteristic
246C2×#11758189—42no—
247C2×#11758189C2311yescharacteristic
248C2×#11758189C2311yescharacteristic
249C2×#11758189C2311yescharacteristic
250C2×#11758189C2311yescharacteristic
251C22×#92418C2311yescharacteristic
252C22×#92418C2311yescharacteristic
253C2×C8×D61—42no—
254C2×C8×D61C2311yescharacteristic
255C2×C8×D61C2311yescharacteristic
256C2×C8×D61C2311yescharacteristic
257C2×C8×D61C2311yescharacteristic
258#14519777—21no—
259#14519777C2311yescharacteristic
260#14519774—21no—
261#14519774C2311yescharacteristic
262#14519772—21no—
263#14519772—21no—
264#14519772—21no—
265#14519772—21no—
266#14519772—21no—
267#14519772—21no—
268#14519768—21no—
269#14519768—21no—
270#14519768—21no—
271#14519766—21no—
272#14519766—21no—
273#14519766—21no—
274#14519765—21no—
275#14519765—21no—
276#14519765C2311yescharacteristic
277#14519765C2311yescharacteristic
278#14519762—21no—
279#14519762—21no—
280#14519762—21no—
281#14519762—21no—
282#14519762—21no—
283#14519762—21no—
284#14519761—21no—
285#14519761—21no—
286#14519761—21no—
287#14519761—21no—
288#14519761—21no—
289#14519761—21no—
290#14519761—21no—
291#14519761—21no—
292#14519757—21no—
293#14519757—21no—
294#14519757—21no—
295#14519757—21no—
296#14519757C2311yescharacteristic
297#14519757C2311yescharacteristic
298#14519757C2311yescharacteristic
299#14519757C2311yescharacteristic
300#14519757C2311yescharacteristic
301#14519757C2311yescharacteristic
302#14519757C2311yescharacteristic
303#14519757C2311yescharacteristic
304#14519753—21no—
305#14519753—21no—
306#14519753—21no—
307#14519752—21no—
308#14519752—21no—
309#14519752—21no—
310#14519752—21no—
311#14519752—21no—
312#14519752—21no—
313#14519752—21no—
314#14519752C2311yescharacteristic
315#14519752C2311yescharacteristic
316#14519752C2311yescharacteristic
317#14519752C2311yescharacteristic
318#14519752C2311yescharacteristic
319#14519752C2311yescharacteristic
320#14519752C2311yescharacteristic
321#14519752C2311yescharacteristic
322#14519751—21no—
323#14519751—21no—
324#14519751—21no—
325#14519751—21no—
326#14519751—21no—
327#14519751—21no—
328#14519747—21no—
329#14519747—21no—
330#14519747—21no—
331#14519747—21no—
332#14519747—21no—
333#14519747—21no—
334#14519747—21no—
335#14519747—21no—
336Q8×Dic61—21no—
337C4×Dic122C2311yescharacteristic
338C4×Dic122C2311yescharacteristic
339C4×D244—21no—
340C4×D244—21no—
341C4×D244—21no—
342C4×D244—21no—
343C4×D244—21no—
344C4×D244—21no—
345C4×D244—21no—
346C4×D244—21no—
347C4×D244—21no—
348C4×D244—21no—
349C4×D244—21no—
350C4×D244—21no—
351C4×D244—21no—
352C4×D244—21no—
353C4×D244D411yescharacteristic
354C4×D244D411yescharacteristic
355C4×D244D411yescharacteristic
356C4×D244D411yescharacteristic
357C4×D244C2311yescharacteristic
358C4×D244C2311yescharacteristic
359C4×D244C2311yescharacteristic
360C4×D244C2311yescharacteristic
361C4×D244C2311yescharacteristic
362C4×D244C2311yescharacteristic
363#14519739—21no—
364#14519739—21no—
365#14519739—21no—
366C4×C22⋊D61—21no—
367C4×C22⋊D61—21no—
368#14519736C2311yescharacteristic
369#14519735—21no—
370#14519735—21no—
371#14519735—21no—
372#14519735C2311yescharacteristic
373#14519735C2311yescharacteristic
374#14519735C2311yescharacteristic
375#14519735C2311yescharacteristic
376#14519734—21no—
377#14519734—21no—
378#14519734—21no—
379#14519733—21no—
380#14519733—21no—
381C2×C4⋊Dic61—21no—
382C2×C4⋊Dic61D411yescharacteristic
383C4⋊C4×D61C2311yescharacteristic
384C4⋊C4×D61C2311yescharacteristic
385C4⋊C4×D61C2311yescharacteristic
386C4⋊C4×D61C2311yescharacteristic
387C2×#11758198—21no—
388C2×#11758198—21no—
389C2×#11758198D411yescharacteristic
390C2×#11758198D411yescharacteristic
391C22⋊C4×D61—21no—
392C22⋊C4×D61—21no—
393C42×D61—21no—
394C42×D61—21no—
395C42×D61—21no—
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519708C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519688C2311yescharacteristic
441#14519688C2311yescharacteristic
442#14519688C2311yescharacteristic
443#14519688C2311yescharacteristic
444C2×#41×C61C2311yescharacteristic
445C22×C8×C61C2311yescharacteristic
446C22×C8×C61C2311yescharacteristic
447C4⋊Q8×C61C2311yescharacteristic
448C4⋊Q8×C61C2311yescharacteristic
449#125×C61C2311yescharacteristic
450#125×C61C2311yescharacteristic
451C22⋊Q8×C61—21no—
452C22⋊Q8×C61—21no—
453C4×Q8×C61—21no—
454C4×Q8×C61—21no—
455C4×Q8×C61C2311yescharacteristic
456C4×Q8×C61C2311yescharacteristic
457C4×D4×C61—21no—
458C4×D4×C61—21no—
459C4×D4×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461#117×C61—21no—
462#117×C61C2311yescharacteristic
463#117×C61C2311yescharacteristic
464#117×C61C2311yescharacteristic
465C2×C42×C61—21no—
466C2×C42×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#107×C61C2311yescharacteristic
469#107×C61C2311yescharacteristic
470#107×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472#106×C61C2311yescharacteristic
473#106×C61C2311yescharacteristic
474#106×C61C2311yescharacteristic
475C4⋊C8×C61C2311yescharacteristic
476C4⋊C8×C61C2311yescharacteristic
477C4⋊C8×C61C2311yescharacteristic
478C4⋊C8×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#103×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484#102×C61C2311yescharacteristic
485#102×C61C2311yescharacteristic
486#102×C61C2311yescharacteristic
487C23×D61—21no—
488C23×D61—21no—
489C23×D61C2×D411yescharacteristic
490C23×D61C2×D411yescharacteristic
491#41×C61—22no—
492#41×C61#4114yescomplemented
493C2×Q8×C61—21no—
494C2×Q8×C61—21no—
495C2×Q8×C61C2411yescharacteristic
496C2×D4×C61—21no—
497C2×D4×C61C2411yescharacteristic
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61—21no—
501C22×C4×C61C2×D411yescharacteristic
502C22×C4×C61C2×D411yescharacteristic
503C22×C4×C61C2411yescharacteristic
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61C2×D411yescharacteristic
514C22×Dic61C2×D411yescharacteristic
515#11758226—22no—
516#11758226—22no—
517#11758226—41no—
518#11758226—41no—
519#11758226—44no—
520Q8×D61—22no—
521Q8×D61—22no—
522Q8×D61—41no—
523Q8×D61—41no—
524#11758224—22no—
525#11758224—22no—
526#11758224—41no—
527#11758224—41no—
528#11758224—44no—
529#11758224—44no—
530D4×D61—22no—
531D4×D61—22no—
532D4×D61—41no—
533D4×D61—41no—
534D4×D61—44no—
535D4×D61—44no—
536#11758222—22no—
537#11758222—22no—
538#11758222—22no—
539#11758222—22no—
540#11758222—22no—
541#11758222—22no—
542#11758222—44no—
543#11758222—44no—
544C2×D244—21no—
545C2×D244—21no—
546C2×D244—21no—
547C2×D244—21no—
548C2×D244—21no—
549C2×D244—21no—
550C2×D244—21no—
551C2×D244—21no—
552C2×D244—21no—
553C2×D244—21no—
554C2×D244—21no—
555C2×D244—21no—
556C2×D244—42no—
557C2×D244—44no—
558C2×D244C2×D411yescharacteristic
559C2×D244C2×D411yescharacteristic
560C2×D244C2×D411yescharacteristic
561C2×D244C2×D411yescharacteristic
562C2×D244C2411yescharacteristic
563C2×D244C2411yescharacteristic
564C2×D244C2411yescharacteristic
565C2×C4×D61—22no—
566C2×C4×D61—22no—
567C2×C4×D61—22no—
568C2×C4×D61—22no—
569C2×C4×D61—21no—
570C2×C4×D61—21no—
571C2×C4×D61—21no—
572C2×C4×D61—21no—
573C2×C4×D61—21no—
574C2×C4×D61—21no—
575C2×C4×D61—21no—
576C2×C4×D61—21no—
577C2×C4×D61—21no—
578C2×C4×D61—21no—
579C2×C4×D61—21no—
580C2×C4×D61—21no—
581C2×C4×D61—21no—
582C2×C4×D61—44no—
583C2×C4×D61—44no—
584C2×C4×D61C2×D411yescharacteristic
585C2×C4×D61C2×D411yescharacteristic
586C2×C4×D61C2×D411yescharacteristic
587C2×C4×D61C2×D411yescharacteristic
588C2×C4×D61C2411yescharacteristic
589C2×C4×D61C2411yescharacteristic
590C2×C4×D61C2411yescharacteristic
591C2×C4×D61C2411yescharacteristic
592C2×Dic122—21no—
593C2×Dic122—21no—
594C2×Dic122C2411yescharacteristic
595C2×Dic122C2411yescharacteristic
596C2×Dic122C2411yescharacteristic
597C2×C8×C61—22no—
598C2×C8×C61—22no—
599C2×C8×C61C2411yescharacteristic
600C2×C8×C61C2411yescharacteristic
601C2×C8×C61C2411yescharacteristic
602C2×C8×C61C2411yescharacteristic
603C4⋊C4×C61—21no—
604C4⋊C4×C61—21no—
605C4⋊C4×C61—21no—
606C4⋊C4×C61—21no—
607C4⋊C4×C61—21no—
608C4⋊C4×C61—21no—
609C4⋊C4×C61—21no—
610C4⋊C4×C61—21no—
611C4⋊C4×C61C2411yescharacteristic
612C4⋊C4×C61C2411yescharacteristic
613C4⋊C4×C61C2411yescharacteristic
614C4⋊C4×C61C2411yescharacteristic
615C4⋊C4×C61C2411yescharacteristic
616C4⋊C4×C61C2411yescharacteristic
617C22⋊C4×C61—21no—
618C22⋊C4×C61—21no—
619C22⋊C4×C61—21no—
620C22⋊C4×C61—21no—
621C22⋊C4×C61—21no—
622C42×C61—21no—
623C42×C61—21no—
624C42×C61—21no—
625C42×C61—21no—
626C42×C61—21no—
627C42×C61C2×D411yescharacteristic
628C42×C61C2×D411yescharacteristic
629C42×C61C2411yescharacteristic
630C42×C61C2411yescharacteristic
631C22⋊Dic61—21no—
632#11758202—22no—
633#11758201—22no—
634#11758200—22no—
635#11758199—22no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198—21no—
653#11758198—21no—
654#11758198—21no—
655#11758198—21no—
656#11758198—21no—
657#11758198—21no—
658#11758198—21no—
659#11758198—21no—
660#11758198—21no—
661#11758198—21no—
662#11758198C2×D411yescharacteristic
663#11758198C2×D411yescharacteristic
664#11758198C2×D411yescharacteristic
665#11758198C2×D411yescharacteristic
666#11758198C2×D411yescharacteristic
667#11758198C2×D411yescharacteristic
668#11758198C2×D411yescharacteristic
669#11758198C2×D411yescharacteristic
670C4⋊Dic61—21no—
671C4⋊Dic61—21no—
672C4⋊Dic61—21no—
673C4⋊Dic61—21no—
674C4⋊Dic61—21no—
675C4⋊Dic61—21no—
676C4⋊Dic61—21no—
677C4⋊Dic61—21no—
678C4⋊Dic61—21no—
679C4⋊Dic61—21no—
680C4⋊Dic61C2×D411yescharacteristic
681C4⋊Dic61C2×D411yescharacteristic
682C4⋊Dic61C2×D411yescharacteristic
683C4⋊Dic61C2×D411yescharacteristic
684C4⋊Dic61C2411yescharacteristic
685C4⋊Dic61C2411yescharacteristic
686#11758196—21no—
687#11758196—21no—
688#11758196—21no—
689#11758196—21no—
690#11758196—21no—
691#11758196—21no—
692C4×Dic61—21no—
693C4×Dic61—21no—
694C4×Dic61—21no—
695C4×Dic61—21no—
696C4×Dic61—21no—
697C4×Dic61—21no—
698C4×Dic61—21no—
699C2×#92418—22no—
700C2×#92418—22no—
701C2×#92418C2411yescharacteristic
702C2×#92418C2411yescharacteristic
703C2×#92418C2411yescharacteristic
704C2×#92418C2411yescharacteristic
705Dic244—41no—
706Dic244—41no—
707D488—41no—
708D488—41no—
709#11758190—41no—
710#11758190—41no—
711#11758190—41no—
712#11758190—41no—
713#11758189—41no—
714#11758189—41no—
715#11758189—41no—
716#11758189—41no—
717C8×D61—41no—
718C8×D61—41no—
719C8×D61—41no—
720C8×D61—41no—
721C23×C61—21no—
722C23×C61C22×D411yescharacteristic
723C22×D61—22no—
724C22×D61—22no—
725C22×D61—22no—
726C22×D61—21no—
727C22×D61—21no—
728C22×D61—21no—
729C22×D61—41no—
730C22×D61—41no—
731C22×D61—41no—
732C22×D61—42no—
733C22×D61—42no—
734C22×D61—42no—
735C22×D61—42no—
736C22×D61—81no—
737C22×D61—81no—
738C22×D61C22×D411yescharacteristic
739C22×D61C22×D411yescharacteristic
740C22×D61C22×D411yescharacteristic
741C22×D61C22×D411yescharacteristic
742Q8×C61—21no—
743Q8×C61—42no—
744Q8×C61—81no—
745Q8×C61C2×#4112yes—
746D4×C61—24no—
747D4×C61—21no—
748D4×C61C2×#4112yes—
749C2×C4×C61—21no—
750C2×C4×C61—24no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—41no—
758C2×C4×C61—41no—
759C2×C4×C61—42no—
760C2×C4×C61—81no—
761C2×C4×C61C22×D411yescharacteristic
762C2×C4×C61C22×D411yescharacteristic
763C2×C4×C61C22×D411yescharacteristic
764C2×C4×C61C22×D411yescharacteristic
765C2×C4×C61C22×D411yescharacteristic
766C2×C4×C61C2×#4112yes—
767C2×C4×C61H(5,𝔽2)12yes—
768C2×C4×C61C2511yescharacteristic
769C22⋊D61—42no—
770C22⋊D61—42no—
771C22⋊D61—42no—
772C22⋊D61—42no—
773C22⋊D61—42no—
774C22⋊D61—42no—
775C22⋊D61—42no—
776C2×Dic61—22no—
777C2×Dic61—22no—
778C2×Dic61—21no—
779C2×Dic61—21no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—21no—
783C2×Dic61—42no—
784C2×Dic61—42no—
785C2×Dic61C22×D411yescharacteristic
786C2×Dic61C22×D411yescharacteristic
787C2×Dic61C22×D411yescharacteristic
788C2×Dic61C22×D411yescharacteristic
789D244—22no—
790D244—22no—
791D244—21no—
792D244—21no—
793D244—21no—
794D244—21no—
795D244—21no—
796D244—21no—
797D244—41no—
798D244—41no—
799D244—42no—
800D244—42no—
801D244—42no—
802D244—42no—
803D244—42no—
804D244—42no—
805D244—42no—
806D244—81no—
807D244—81no—
808D244—81no—
809D244—81no—
810D244—81no—
811C4×D61—22no—
812C4×D61—22no—
813C4×D61—22no—
814C4×D61—22no—
815C4×D61—21no—
816C4×D61—21no—
817C4×D61—21no—
818C4×D61—21no—
819C4×D61—21no—
820C4×D61—21no—
821C4×D61—21no—
822C4×D61—21no—
823C4×D61—42no—
824C4×D61—42no—
825C4×D61—42no—
826C4×D61—42no—
827C4×D61—42no—
828C4×D61—42no—
829C4×D61—42no—
830C4×D61—42no—
831C4×D61—42no—
832C4×D61—42no—
833C4×D61—81no—
834C4×D61—81no—
835C4×D61—81no—
836Dic122—21no—
837Dic122—21no—
838Dic122—21no—
839Dic122—21no—
840Dic122—21no—
841Dic122—21no—
842Dic122—42no—
843Dic122—42no—
844C8×C61—21no—
845C8×C61—21no—
846C8×C61—21no—
847C8×C61—21no—
848#92418—21no—
849#92418—21no—
850#92418—21no—
851#92418—21no—
852#61141—611nomaximal, Sylow
853C22×C61—21no—
854C22×C61—21no—
855C22×C61—22no—
856C22×C61—41no—
857C22×C61—41no—
858C22×C61#54612yes—
859C22×C61C23×D411yescharacteristic
860C2×D61—21no—
861C2×D61—21no—
862C2×D61—21no—
863C2×D61—21no—
864C2×D61—21no—
865C2×D61—21no—
866C2×D61—21no—
867C2×D61—21no—
868C2×D61—21no—
869C2×D61—21no—
870C2×D61—21no—
871C2×D61—44no—
872C2×D61—41no—
873C2×D61—41no—
874C2×D61—41no—
875C2×D61—41no—
876C2×D61—41no—
877C2×D61—41no—
878C2×D61—41no—
879C2×D61—41no—
880C2×D61—41no—
881C2×D61—84no—
882C2×D61—82no—
883C2×D61—84no—
884C2×D61#57512yes—
885C4×C61—21no—
886C4×C61—21no—
887C4×C61—22no—
888C4×C61—21no—
889C4×C61—21no—
890C4×C61—41no—
891C4×C61—41no—
892C4×C61—41no—
893C4×C61—41no—
894C4×C61—41no—
895C4×C61—41no—
896C4×C61#54612yes—
897C4×C61C22×#4111yescharacteristic
898C4×C61C2×H(5,𝔽2)11yescharacteristic
899Dic61—21no—
900Dic61—21no—
901Dic61—21no—
902Dic61—21no—
903Dic61—41no—
904Dic61—41no—
905Dic61—41no—
906Dic61—41no—
907Dic61—41no—
908#3475—611no—
909D4×#41—611no—
910#3321—611no—
911#3320—611no—
912#3319—611no—
913#3318—611no—
914#3317—611no—
915#3316—611no—
916#3315—611no—
917#3314—611no—
918#3313—611no—
919#3312—611no—
920#3311—611no—
921#3310—611no—
922#3309—611no—
923#3308—611no—
924#3307—611no—
925#3306—611no—
926#3135—611no—
927#3091—611no—
928#3091—611no—
929#3076D6111yescharacteristic, complemented
930#3054—611no—
931#3050—611no—
932#3035—611no—
933#3002—611no—
934#3002—611no—
935#2943—611no—
936C2×#435—611no—
937#2896—611no—
938C2×#416—611no—
939C2×C61—22no—
940C2×C61—42no—
941C2×C61C2×#54611yescharacteristic
942C2×C61C2×#57511yescharacteristic
943C2×C61#358411yescharacteristic
944D61—22no—
945D61—41no—
946D61—41no—
947D61—41no—
948D61—81no—
949D61—81no—
950D61—81no—
951C22×#41—611no—
952C22×#41—611no—
953C2×#135—611no—
954C2×#135—611no—
955C2×#135—611no—
956C22×M16—611no—
957C23×C8—611no—
958#556—611no—
959#555—611no—
960#554—611no—
961#553—611no—
962#553—611no—
963#552—611no—
964#552—611no—
965#552—1221no—
966#551—1221no—
967#551—1221no—
968#550—611no—
969D4×Q8—611no—
970#548—611no—
971#548—611no—
972#547—611no—
973#547—611no—
974#547—1221no—
975#546—611no—
976#546—611no—
977#546—1221no—
978#546—1221no—
979#546—1221no—
980D42—611no—
981D42—1221no—
982#533C2×D6111yescharacteristic, complemented
983#532—611no—
984#532—1221no—
985#529—1221no—
986#529—1221no—
987#529—1221no—
988#525—611no—
989#525—611no—
990#525—611no—
991#525—611no—
992#525—1221no—
993#525—1221no—
994C4×#41—611no—
995C4×#41—1221no—
996C4×#41C2×D6111yescharacteristic
997C2×C4×D4—611no—
998C2×C4×D4—1221no—
999C2×#117—611no—
1000C2×#117—611no—
1001#491—611no—
1002#491—611no—
1003#490—611no—
1004#490—611no—
1005#489—611no—
1006#489—611no—
1007#489—611no—
1008#489—611no—
1009#485—611no—
1010#485—611no—
1011#485—611no—
1012#485—611no—
1013#484—611no—
1014#484—611no—
1015#483—611no—
1016#483—611no—
1017#482—611no—
1018#482—611no—
1019#482—611no—
1020#482—611no—
1021#481—611no—
1022#481—611no—
1023#480—611no—
1024#480—611no—
1025#479C2×D6111yescharacteristic, complemented
1026#479C2×D6111yescharacteristic, complemented
1027#478C2×D6111yescharacteristic, complemented
1028#478C2×D6111yescharacteristic, complemented
1029#477C2×D6111yescharacteristic, complemented
1030#476C2×D6111yescharacteristic, complemented
1031#475C2×D6111yescharacteristic, complemented
1032#474C2×D6111yescharacteristic, complemented
1033#470—611no—
1034#470—611no—
1035#469—611no—
1036#469—611no—
1037#468—611no—
1038#468—611no—
1039#468—611no—
1040#468—611no—
1041#467—611no—
1042#467—611no—
1043#466—611no—
1044#466—611no—
1045#465—611no—
1046#465—611no—
1047#465—611no—
1048#465—611no—
1049#464—611no—
1050#464—611no—
1051#463—611no—
1052#463—611no—
1053#462—611no—
1054#461—611no—
1055#460—611no—
1056#459—611no—
1057#452—611no—
1058#452—611no—
1059#452—611no—
1060#452—611no—
1061#451—611no—
1062#451—611no—
1063#450—611no—
1064#450—611no—
1065#449—611no—
1066#449—611no—
1067#449—611no—
1068#449—611no—
1069#448—611no—
1070#448—611no—
1071#447—611no—
1072#447—611no—
1073#442—611no—
1074#442—611no—
1075#441—611no—
1076#441—611no—
1077#440—611no—
1078#440—611no—
1079#440—611no—
1080#440—611no—
1081#435—611no—
1082#435—611no—
1083#435—611no—
1084#435—611no—
1085#435—611no—
1086#435—611no—
1087#435—611no—
1088#435—611no—
1089#427—611no—
1090#427C2×D6111yescharacteristic, complemented
1091#427C2×D6111yescharacteristic, complemented
1092C2×C4⋊C8C2×D6111yescharacteristic, complemented
1093#419—611no—
1094#419—611no—
1095#418—611no—
1096#418—611no—
1097#417—611no—
1098#417—611no—
1099#417—611no—
1100#417—611no—
1101#416—611no—
1102#416—611no—
1103#416—611no—
1104#416—611no—
1105#416—611no—
1106#416—611no—
1107#416—611no—
1108#416—611no—
1109#416—611no—
1110#416—611no—
1111#416—611no—
1112#416—611no—
1113#416C2×D6111yescharacteristic
1114#416C2×D6111yescharacteristic
1115C2×#103—611no—
1116C2×#103—611no—
1117C2×#102—611no—
1118C2×#102—611no—
1119C2×C22⋊C8—611no—
1120C2×C22⋊C8—611no—
1121C2×#97—611no—
1122C61#6114111yescharacteristic, complemented, Sylow
1123C2×#41—611no—
1124C2×#41—611no—
1125C2×#41—611no—
1126C2×#41—611no—
1127C2×#41—611no—
1128C2×#41—611no—
1129C2×#41—611no—
1130C2×#41—1221no—
1131C2×#41—1221no—
1132C2×#41—1221no—
1133C2×#41—1221no—
1134C2×#41—1221no—
1135C2×#41—1224no—
1136C2×#41—1224no—
1137C2×#41—2442no—
1138C2×#41—2442no—
1139C2×#41C22×D6111yescharacteristic
1140C22×Q8—611no—
1141C22×Q8—611no—
1142C22×D4—611no—
1143C22×D4—611no—
1144C22×D4—611no—
1145C22×D4—1221no—
1146C22×D4—1221no—
1147C22×D4—1221no—
1148C23×C4—611no—
1149C23×C4—611no—
1150C23×C4—1221no—
1151C23×C4—1221no—
1152#135—1224no—
1153#135—2442no—
1154#135—2442no—
1155C2×Q16—611no—
1156C2×Q16—611no—
1157C2×Q16—611no—
1158C2×SD16—611no—
1159C2×SD16—611no—
1160C2×SD16—611no—
1161C2×SD16—611no—
1162C2×SD16—611no—
1163C2×SD16—611no—
1164C2×D8—611no—
1165C2×D8—611no—
1166C2×D8—611no—
1167C2×M16—611no—
1168C2×M16—611no—
1169C2×M16—611no—
1170C2×M16—611no—
1171C2×M16—2442no—
1172C22×C8—611no—
1173C22×C8—611no—
1174C22×C8—611no—
1175C22×C8—611no—
1176C22×C8—611no—
1177C22×C8—611no—
1178C22×C8—2442no—
1179C22×C8C22×D6111yescharacteristic
1180C22×C8C22×D6111yescharacteristic
1181C4⋊Q8—611no—
1182C4⋊Q8—1221no—
1183C4⋊Q8C22×D6111yescharacteristic
1184C4⋊Q8C22×D6111yescharacteristic
1185#127—611no—
1186#127—1221no—
1187#126—1221no—
1188#126—1221no—
1189#126—1221no—
1190#126—1221no—
1191#126—1221no—
1192#126—1221no—
1193#125—1221no—
1194#125—1221no—
1195#125—1221no—
1196#125C22×D6111yescharacteristic
1197#125C22×D6111yescharacteristic
1198#124—611no—
1199#124—611no—
1200#124—1221no—
1201#124—1221no—
1202#124—1221no—
1203#124—1221no—
1204#124—1221no—
1205#123—1221no—
1206#123—1221no—
1207#123—1221no—
1208#123—1221no—
1209#123—1221no—
1210#123—1221no—
1211#123—1221no—
1212#123—1221no—
1213#123—1221no—
1214#123—1221no—
1215#123—1221no—
1216#123—1221no—
1217#123—1221no—
1218#123—1221no—
1219C22⋊Q8—21no—
1220C22⋊Q8—21no—
1221C22⋊Q8—611no—
1222C22⋊Q8—611no—
1223C22⋊Q8—611no—
1224C22⋊Q8—611no—
1225C22⋊Q8—611no—
1226C22⋊Q8—611no—
1227C22⋊Q8—611no—
1228C22⋊Q8—611no—
1229C22⋊Q8—1221no—
1230C22⋊Q8—1221no—
1231C22⋊Q8—1221no—
1232C22⋊Q8—1221no—
1233C22⋊Q8—1221no—
1234C22⋊Q8—1221no—
1235C22⋊Q8—1221no—
1236#121—611no—
1237#121—611no—
1238#121—611no—
1239#121—611no—
1240#121—611no—
1241#121—611no—
1242#121—611no—
1243#121—611no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121—1221no—
1250#121—1221no—
1251#121—1221no—
1252#121—1221no—
1253#121—1221no—
1254#121—1221no—
1255#121—1221no—
1256#121—1221no—
1257#120—1221no—
1258#120—1221no—
1259#120—1221no—
1260#120—1221no—
1261#120—1221no—
1262#120—1221no—
1263#120—1221no—
1264#120—1221no—
1265C4×Q8—21no—
1266C4×Q8—21no—
1267C4×Q8—611no—
1268C4×Q8—611no—
1269C4×Q8—1221no—
1270C4×Q8C22×D6111yescharacteristic
1271C4×Q8C22×D6111yescharacteristic
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—611no—
1279C4×D4—611no—
1280C4×D4—611no—
1281C4×D4—611no—
1282C4×D4—611no—
1283C4×D4—611no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4—1221no—
1290C4×D4—1221no—
1291C4×D4—1221no—
1292C4×D4—1221no—
1293C4×D4—1221no—
1294C4×D4—1221no—
1295C4×D4—1221no—
1296C4×D4—1221no—
1297C4×D4—1221no—
1298C4×D4—1221no—
1299C4×D4—1221no—
1300C4×D4—1221no—
1301C4×D4—1221no—
1302C4×D4—1221no—
1303C4×D4C22×D6111yescharacteristic
1304C4×D4C22×D6111yescharacteristic
1305#117—21no—
1306#117—611no—
1307#117—611no—
1308#117—611no—
1309#117—611no—
1310#117—611no—
1311#117—1221no—
1312#117—1221no—
1313#117—1221no—
1314#117—1221no—
1315#117—1221no—
1316#117—1221no—
1317#117—1221no—
1318#117—1221no—
1319#117C22×D6111yescharacteristic
1320#117C22×D6111yescharacteristic
1321#117C22×D6111yescharacteristic
1322C2×C4⋊C4—611no—
1323C2×C4⋊C4—611no—
1324C2×C4⋊C4—611no—
1325C2×C4⋊C4—611no—
1326C2×C4⋊C4—611no—
1327C2×C4⋊C4—1221no—
1328C2×C22⋊C4—611no—
1329C2×C22⋊C4—611no—
1330C2×C22⋊C4—1221no—
1331C2×C22⋊C4—1221no—
1332C2×C22⋊C4—1221no—
1333C2×C22⋊C4—1221no—
1334C2×C42—21no—
1335C2×C42—1221no—
1336C2×C42—1221no—
1337C2×C42—1221no—
1338C2×C42C22×D6111yescharacteristic
1339#107—611no—
1340#107—611no—
1341#107C22×D6111yescharacteristic
1342#107C22×D6111yescharacteristic
1343#107C22×D6111yescharacteristic
1344#107C22×D6111yescharacteristic
1345#106—611no—
1346#106—611no—
1347#106C22×D6111yescharacteristic
1348#106C22×D6111yescharacteristic
1349#106C22×D6111yescharacteristic
1350#106C22×D6111yescharacteristic
1351C4⋊C8C22×D6111yescharacteristic
1352C4⋊C8C22×D6111yescharacteristic
1353C4⋊C8C22×D6111yescharacteristic
1354C4⋊C8C22×D6111yescharacteristic
1355#103—611no—
1356#103—611no—
1357#103—611no—
1358#103—611no—
1359#103—611no—
1360#103—611no—
1361#103—611no—
1362#103—611no—
1363#103—611no—
1364#103—611no—
1365#103—611no—
1366#103—611no—
1367#103—611no—
1368#103—611no—
1369#103—611no—
1370#103—611no—
1371#103C22×D6111yescharacteristic
1372#103C22×D6111yescharacteristic
1373#103C22×D6111yescharacteristic
1374#103C22×D6111yescharacteristic
1375#102—611no—
1376#102—611no—
1377#102—611no—
1378#102—611no—
1379#102—611no—
1380#102—611no—
1381#102—611no—
1382#102—611no—
1383#102—611no—
1384#102—611no—
1385#102—611no—
1386#102—611no—
1387#102—611no—
1388#102—611no—
1389#102—611no—
1390#102—611no—
1391#102C22×D6111yescharacteristic
1392#102C22×D6111yescharacteristic
1393#102C22×D6111yescharacteristic
1394#102C22×D6111yescharacteristic
1395C22⋊C8—611no—
1396C22⋊C8—611no—
1397C22⋊C8—611no—
1398C22⋊C8—611no—
1399C22⋊C8—611no—
1400C22⋊C8—611no—
1401C22⋊C8—611no—
1402C22⋊C8—611no—
1403#97—611no—
1404#97—611no—
1405#97—611no—
1406#97—611no—
1407C24—611no—
1408C24—611no—
1409C24—1221no—
1410C24—1221no—
1411#41—22no—
1412#41—1222no—
1413#41—1222no—
1414#41—1222no—
1415#41—1222no—
1416#41—1222no—
1417#41—1222no—
1418#41—1222no—
1419#41—1222no—
1420#41—1222no—
1421#41—1222no—
1422#41—2444no—
1423#41—2444no—
1424#41—2441no—
1425#41—2441no—
1426#41—2444no—
1427#41—2444no—
1428#41—2441no—
1429#41—2441no—
1430#41—2444no—
1431#41#1175822614yescomplemented
1432C2×Q8—21no—
1433C2×Q8—21no—
1434C2×Q8—611no—
1435C2×Q8—611no—
1436C2×Q8—611no—
1437C2×Q8—1221no—
1438C2×Q8—1221no—
1439C2×Q8—1222no—
1440C2×Q8—1222no—
1441C2×Q8—2441no—
1442C2×Q8—2441no—
1443C2×Q8C23×D6111yescharacteristic
1444C2×D4—21no—
1445C2×D4—611no—
1446C2×D4—611no—
1447C2×D4—611no—
1448C2×D4—611no—
1449C2×D4—611no—
1450C2×D4—611no—
1451C2×D4—611no—
1452C2×D4—1221no—
1453C2×D4—1221no—
1454C2×D4—1221no—
1455C2×D4—1221no—
1456C2×D4—1221no—
1457C2×D4—1221no—
1458C2×D4—1221no—
1459C2×D4—1221no—
1460C2×D4—1221no—
1461C2×D4—1221no—
1462C2×D4—1221no—
1463C2×D4—1221no—
1464C2×D4—1222no—
1465C2×D4—1222no—
1466C2×D4—1221no—
1467C2×D4—1221no—
1468C2×D4—1221no—
1469C2×D4—1221no—
1470C2×D4—1221no—
1471C2×D4—1221no—
1472C2×D4—1221no—
1473C2×D4—2442no—
1474C2×D4—2444no—
1475C2×D4—2441no—
1476C2×D4—2441no—
1477C2×D4—2444no—
1478C2×D4—2444no—
1479C2×D4C23×D6111yescharacteristic
1480C22×C4—21no—
1481C22×C4—21no—
1482C22×C4—21no—
1483C22×C4—611no—
1484C22×C4—611no—
1485C22×C4—611no—
1486C22×C4—611no—
1487C22×C4—611no—
1488C22×C4—611no—
1489C22×C4—611no—
1490C22×C4—611no—
1491C22×C4—611no—
1492C22×C4—611no—
1493C22×C4—1221no—
1494C22×C4—1221no—
1495C22×C4—1221no—
1496C22×C4—1221no—
1497C22×C4—1221no—
1498C22×C4—1221no—
1499C22×C4—1221no—
1500C22×C4—1221no—
1501C22×C4—1221no—
1502C22×C4—1221no—
1503C22×C4—1222no—
1504C22×C4—1222no—
1505C22×C4—1222no—
1506C22×C4—1222no—
1507C22×C4—1221no—
1508C22×C4—1221no—
1509C22×C4—1221no—
1510C22×C4—1221no—
1511C22×C4—1221no—
1512C22×C4—2444no—
1513C22×C4—2444no—
1514C22×C4D4×D6111yescharacteristic
1515C22×C4D4×D6111yescharacteristic
1516C22×C4C23×D6111yescharacteristic
1517Q16—1222no—
1518Q16—2441no—
1519Q16—2441no—
1520SD16—1222no—
1521SD16—1222no—
1522SD16—2441no—
1523SD16—2441no—
1524SD16—2441no—
1525SD16—2441no—
1526D8—1222no—
1527D8—2441no—
1528D8—2441no—
1529M16—2441no—
1530M16—2441no—
1531M16—2441no—
1532M16—2441no—
1533C2×C8—22no—
1534C2×C8—22no—
1535C2×C8—611no—
1536C2×C8—611no—
1537C2×C8—611no—
1538C2×C8—611no—
1539C2×C8—1222no—
1540C2×C8—1222no—
1541C2×C8—2441no—
1542C2×C8—2441no—
1543C2×C8—2441no—
1544C2×C8—2441no—
1545C2×C8C23×D6111yescharacteristic
1546C2×C8C23×D6111yescharacteristic
1547C2×C8C23×D6111yescharacteristic
1548C2×C8C23×D6111yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—611no—
1558C4⋊C4—611no—
1559C4⋊C4—611no—
1560C4⋊C4—611no—
1561C4⋊C4—611no—
1562C4⋊C4—611no—
1563C4⋊C4—1221no—
1564C4⋊C4—1221no—
1565C4⋊C4—1221no—
1566C4⋊C4—1221no—
1567C4⋊C4—1221no—
1568C4⋊C4—1221no—
1569C4⋊C4—1221no—
1570C4⋊C4—1221no—
1571C4⋊C4—1221no—
1572C4⋊C4—1221no—
1573C4⋊C4—1221no—
1574C4⋊C4—1221no—
1575C4⋊C4—1221no—
1576C4⋊C4—1221no—
1577C4⋊C4—1221no—
1578C4⋊C4—1221no—
1579C4⋊C4C23×D6111yescharacteristic
1580C4⋊C4C23×D6111yescharacteristic
1581C4⋊C4C23×D6111yescharacteristic
1582C4⋊C4C23×D6111yescharacteristic
1583C4⋊C4C23×D6111yescharacteristic
1584C4⋊C4C23×D6111yescharacteristic
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—611no—
1591C22⋊C4—611no—
1592C22⋊C4—611no—
1593C22⋊C4—611no—
1594C22⋊C4—611no—
1595C22⋊C4—611no—
1596C22⋊C4—611no—
1597C22⋊C4—611no—
1598C22⋊C4—1221no—
1599C22⋊C4—1221no—
1600C22⋊C4—1221no—
1601C22⋊C4—1221no—
1602C22⋊C4—1221no—
1603C22⋊C4—1221no—
1604C22⋊C4—1221no—
1605C22⋊C4—1221no—
1606C22⋊C4—1221no—
1607C22⋊C4—1221no—
1608C22⋊C4—1221no—
1609C22⋊C4—1221no—
1610C22⋊C4—1221no—
1611C22⋊C4—1221no—
1612C22⋊C4—1221no—
1613C22⋊C4—1221no—
1614C22⋊C4—1221no—
1615C22⋊C4—1221no—
1616C22⋊C4—1221no—
1617C22⋊C4—1221no—
1618C22⋊C4—1221no—
1619C22⋊C4—1221no—
1620C22⋊C4—1221no—
1621C22⋊C4—1221no—
1622C22⋊C4—1221no—
1623C22⋊C4—1221no—
1624C22⋊C4—1221no—
1625C42—21no—
1626C42—21no—
1627C42—21no—
1628C42—21no—
1629C42—21no—
1630C42—1221no—
1631C42—1221no—
1632C42—1221no—
1633C42—1221no—
1634C42—1221no—
1635C42—1221no—
1636C42—1221no—
1637C42D4×D6111yescharacteristic
1638C42D4×D6111yescharacteristic
1639C42C23×D6111yescharacteristic
1640C42C23×D6111yescharacteristic
1641C23—21no—
1642C23—611no—
1643C23—611no—
1644C23—611no—
1645C23—611no—
1646C23—1222no—
1647C23—1222no—
1648C23—1222no—
1649C23—1221no—
1650C23—1221no—
1651C23—1221no—
1652C23—4881no—
1653C23—4881no—
1654C23—2441no—
1655C23—2441no—
1656C23—2441no—
1657C23—2442no—
1658C23—2442no—
1659C23—2442no—
1660C23—2442no—
1661C23C2×D4×D6111yescharacteristic
1662Q8—21no—
1663Q8—42no—
1664Q8—81no—
1665Q8—1221no—
1666Q8—1221no—
1667Q8—1221no—
1668Q8—1221no—
1669Q8—1221no—
1670Q8—1221no—
1671Q8—2442no—
1672Q8—2442no—
1673Q8C2×#1175822612yes—
1674D4—24no—
1675D4—21no—
1676D4—1222no—
1677D4—1222no—
1678D4—1221no—
1679D4—1221no—
1680D4—1221no—
1681D4—1221no—
1682D4—1221no—
1683D4—1221no—
1684D4—4881no—
1685D4—4881no—
1686D4—4881no—
1687D4—4881no—
1688D4—4881no—
1689D4—2441no—
1690D4—2441no—
1691D4—2442no—
1692D4—2442no—
1693D4—2442no—
1694D4—2442no—
1695D4—2442no—
1696D4—2442no—
1697D4—2442no—
1698D4—2442no—
1699D4—2442no—
1700D4—2442no—
1701D4—2442no—
1702D4—2442no—
1703D4—2442no—
1704D4—2442no—
1705D4C2×#1175822612yes—
1706C2×C4—21no—
1707C2×C4—24no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—41no—
1715C2×C4—41no—
1716C2×C4—42no—
1717C2×C4—81no—
1718C2×C4—611no—
1719C2×C4—611no—
1720C2×C4—611no—
1721C2×C4—611no—
1722C2×C4—1222no—
1723C2×C4—1222no—
1724C2×C4—1221no—
1725C2×C4—1221no—
1726C2×C4—1221no—
1727C2×C4—1221no—
1728C2×C4—1221no—
1729C2×C4—1221no—
1730C2×C4—1221no—
1731C2×C4—1221no—
1732C2×C4—1222no—
1733C2×C4—1222no—
1734C2×C4—1222no—
1735C2×C4—1222no—
1736C2×C4—1221no—
1737C2×C4—1221no—
1738C2×C4—1221no—
1739C2×C4—1221no—
1740C2×C4—1221no—
1741C2×C4—4881no—
1742C2×C4—4881no—
1743C2×C4—4881no—
1744C2×C4—2442no—
1745C2×C4—2442no—
1746C2×C4—2442no—
1747C2×C4—2442no—
1748C2×C4—2442no—
1749C2×C4—2442no—
1750C2×C4—2442no—
1751C2×C4—2442no—
1752C2×C4—2442no—
1753C2×C4—2442no—
1754C2×C4—2442no—
1755C2×C4—2442no—
1756C2×C4C2×D4×D6111yescharacteristic
1757C2×C4C2×D4×D6111yescharacteristic
1758C2×C4C2×D4×D6111yescharacteristic
1759C2×C4C2×D4×D6111yescharacteristic
1760C2×C4C2×D4×D6111yescharacteristic
1761C2×C4C2×#1175822612yes—
1762C2×C4#1451982312yes—
1763C2×C4C24×D6111yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—1221no—
1769C8—1221no—
1770C8—1221no—
1771C8—1221no—
1772C22—21no—
1773C22—21no—
1774C22—22no—
1775C22—41no—
1776C22—41no—
1777C22—612no—
1778C22—1221no—
1779C22—1221no—
1780C22—1221no—
1781C22—1221no—
1782C22—1221no—
1783C22—1221no—
1784C22—1221no—
1785C22—1221no—
1786C22—1221no—
1787C22—1221no—
1788C22—1221no—
1789C22—4882no—
1790C22—4884no—
1791C22—4884no—
1792C22—2444no—
1793C22—2441no—
1794C22—2441no—
1795C22—2441no—
1796C22—2441no—
1797C22—2441no—
1798C22—2441no—
1799C22—2441no—
1800C22—2441no—
1801C22—2441no—
1802C22#1684040312yes—
1803C22C22×D4×D6111yescharacteristic
1804C4—22no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—21no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—1221no—
1816C4—1221no—
1817C4—1221no—
1818C4—1221no—
1819C4—2441no—
1820C4—2441no—
1821C4—2441no—
1822C4—2441no—
1823C4—2441no—
1824C4#1684040312yes—
1825C4C22×#1175822611yescharacteristic
1826C4C2×#1451982311yescharacteristic
1827C2—22no—
1828C2—42no—
1829C2—1222no—
1830C2—4881no—
1831C2—4881no—
1832C2—4881no—
1833C2—2441no—
1834C2—2441no—
1835C2—2441no—
1836C2C2×#1684040311yescharacteristic
1837C2#575×D6111yescharacteristic
1838C2#2146058811yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3076C2
socleC22×C61C23×D4
hypercenter#3076D61
hypocenterC61#61141
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3076

Complements

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

NH ≅ G/Ntype
1. #21459386C2semidirect
2. #41×D244C2semidirect
3. #21458002C2semidirect
4. #21457987C2semidirect
5. #21457972C2semidirect
6. #21457957C2semidirect
7. #21457942C2semidirect
8. #21457927C2semidirect
9. #21457912C2semidirect
10. #21457897C2semidirect
11. #21457882C2semidirect
12. #21457867C2semidirect
13. #21457852C2semidirect
14. #21457837C2semidirect
15. #21457822C2semidirect
16. #21457807C2semidirect
17. #21457792C2semidirect
18. #21457777C2semidirect
19. #21456167C2semidirect
20. #21455736C2semidirect
21. #21455736C2semidirect
22. #21455429C2semidirect
23. #21455401C2semidirect
24. #21455276C2semidirect
25. #21455039C2semidirect
26. #21455039C2semidirect
27. #21454617C2semidirect
28. C2×#16839832C2semidirect
29. #21454334C2semidirect
30. #416×D61C2semidirect
31. C61×#3076C2semidirect
34. C2×#14519799C22semidirect
35. C2×#14519799C22semidirect
37. C22×#11758189C22semidirect
38. C22×C8×D61C22semidirect
39. #16840486C22semidirect
40. #16840478C22semidirect
41. #16840473C22semidirect
43. #16840465C22semidirect
46. #16840450C22semidirect
55. #16840415C22semidirect
72. #16840274C22semidirect
73. #16840274C22semidirect
75. C4×#11758222C22semidirect
78. #117×D61C22semidirect
79. #117×D61C22semidirect
80. #16840132C22semidirect
81. #16840132C22semidirect
82. #16840128C22semidirect
83. #16840128C22semidirect
84. #16840124C22semidirect
85. #16840124C22semidirect
86. #16840124C22semidirect
87. #16840124C22semidirect
88. #16840106C22semidirect
89. #16840106C22semidirect
90. #16840105C22semidirect
91. #16840105C22semidirect
92. #16840099C22semidirect
93. #16840099C22semidirect
94. #16840094C22semidirect
95. #16840094C22semidirect
96. #16840089C22semidirect
97. #16840089C22semidirect
98. #16840088C22semidirect
99. #16840088C22semidirect
100. #16840082C22semidirect
101. #16840082C22semidirect
102. #16840077C22semidirect
103. #16840077C22semidirect
104. #16840021C22semidirect
105. #16840021C22semidirect
106. #16840016C22semidirect
107. #16840016C22semidirect
108. #16840009C22semidirect
109. #16840009C22semidirect
110. #16840009C22semidirect
111. #16840009C22semidirect
112. #16840004C22semidirect
113. #16840004C22semidirect
114. #16839999C22semidirect
115. #16839999C22semidirect
116. #16839992C22semidirect
117. #16839992C22semidirect
118. #16839992C22semidirect
119. #16839992C22semidirect
120. #16839985C22semidirect
121. #16839985C22semidirect
122. #16839978C22semidirect
123. #16839978C22semidirect
124. #16839973C22semidirect
125. #16839968C22semidirect
126. #16839963C22semidirect
127. #16839958C22semidirect
128. #16839927C22semidirect
129. #16839927C22semidirect
130. #16839925C22semidirect
131. #16839925C22semidirect
132. #16839919C22semidirect
133. #16839919C22semidirect
134. #16839914C22semidirect
135. #16839914C22semidirect
136. #16839910C22semidirect
137. #16839910C22semidirect
138. #16839908C22semidirect
139. #16839908C22semidirect
140. #16839902C22semidirect
141. #16839902C22semidirect
142. #16839897C22semidirect
143. #16839897C22semidirect
144. #16839872C22semidirect
145. #16839872C22semidirect
146. #16839867C22semidirect
147. #16839867C22semidirect
148. #16839862C22semidirect
149. #16839862C22semidirect
150. #16839860C22semidirect
151. #16839860C22semidirect
154. #16839832C22semidirect
155. #16839832C22semidirect
156. #16839832C22semidirect
157. #16839832C22semidirect
158. #16839832C22semidirect
159. #16839832C22semidirect
160. #16839798C22semidirect
161. #16839769C22semidirect
162. #16839769C22semidirect
163. #16839765C22semidirect
164. #16839765C22semidirect
165. #16839762C22semidirect
166. #16839762C22semidirect
167. #16839760C22semidirect
168. #16839760C22semidirect
169. #16839759C22semidirect
170. #16839759C22semidirect
172. #16839757C22semidirect
173. #16839757C22semidirect
174. #16839756C22semidirect
175. #16839756C22semidirect
176. #16839756C22semidirect
177. #16839756C22semidirect
178. #16839756C22semidirect
179. #16839755C22semidirect
180. #16839755C22semidirect
181. #103×D61C22semidirect
182. #103×D61C22semidirect
183. #102×D61C22semidirect
184. #102×D61C22semidirect
185. C2×#14519689C22semidirect
186. C2×#14519689C22semidirect
187. C2×#14519688C22semidirect
188. C61×#533C22semidirect
190. C61×#479C22semidirect
191. C61×#479C22semidirect
192. C61×#478C22semidirect
193. C61×#478C22semidirect
194. C61×#477C22semidirect
195. C61×#476C22semidirect
196. C61×#475C22semidirect
197. C61×#474C22semidirect
198. C61×#427C22semidirect
199. C61×#427C22semidirect
200. C2×C4⋊C8×C61C22semidirect
492. #41×C61#41semidirect
929. #3076D61semidirect
982. #533C2×D61semidirect
1025. #479C2×D61semidirect
1026. #479C2×D61semidirect
1027. #478C2×D61semidirect
1028. #478C2×D61semidirect
1029. #477C2×D61semidirect
1030. #476C2×D61semidirect
1031. #475C2×D61semidirect
1032. #474C2×D61semidirect
1090. #427C2×D61semidirect
1091. #427C2×D61semidirect
1092. C2×C4⋊C8C2×D61semidirect
1122. C61#61141semidirect
1431. #41#11758226semidirect

Maximal subgroups

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

subgroupindex
#214593862
#41×D2442
#214580022
#214579872
#214579722
#214579572
#214579422
#214579272
#214579122
#214578972
#214578822
#214578672
#214578522
#214578372
#214578222
#214578072
#214577922
#214577772
#214561672
#214557362
#214554292
#214554012
#214552762
#214550392
#214546172
C2×#168398322
#214543342
#416×D612
C61×#30762
#6114161