Finite Group Databasebeta

← #30561455

Subgroups — #30561455

Order 15616.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459410C211yesmaximal, characteristic, complemented
2#21459381C211yesmaximal, characteristic, complemented
3#21458810C211yesmaximal, characteristic, complemented
4#21458689C211yesmaximal, characteristic, complemented
5#21458507C211yesmaximal, characteristic, complemented
6#21458474C211yesmaximal, characteristic, complemented
7#21458225C211yesmaximal, characteristic, complemented
8#21458195C211yesmaximal, characteristic, complemented
9#21458191C211yesmaximal, characteristic, complemented
10#21457767C211yesmaximal, characteristic, complemented
11#21457729C211yesmaximal, characteristic, complemented
12#21457713C211yesmaximal, characteristic, complemented
13#21457709C211yesmaximal, characteristic, complemented
14#21457666C211yesmaximal, characteristic, complemented
15#21457662C211yesmaximal, characteristic, complemented
16#21457547C211yesmaximal, characteristic, complemented
17#21457532C211yesmaximal, characteristic, complemented
18#21457524C211yesmaximal, characteristic, complemented
19#21456392C211yesmaximal, characteristic, complemented
20#21456383C211yesmaximal, characteristic, complemented
21#21456375C211yesmaximal, characteristic, complemented
22#21455856C211yesmaximal, characteristic, complemented
23#21455841C211yesmaximal, characteristic, complemented
24#21455841C211yesmaximal, characteristic, complemented
25#21455839C211yesmaximal, characteristic, complemented
26#21455817C211yesmaximal, characteristic, complemented
27#21454775C211yesmaximal, characteristic, complemented
28C4×#14519797C211yesmaximal, characteristic, complemented
29C4×#14519796C211yesmaximal, characteristic, complemented
30C4×SD16×D61C211yesmaximal, characteristic, complemented
31C61×#3102C211yesmaximal, characteristic, complemented
32C2×#14519797C2211yescharacteristic
33C2×#14519796C2211yescharacteristic
34C2×SD16×D61C2211yescharacteristic
35#16840496—21no—
36#16840494C2211yescharacteristic, complemented
37#16840489C2211yescharacteristic, complemented
38#16840484C2211yescharacteristic
39#16840483C2211yescharacteristic, complemented
40#16840479—21no—
41#16840475C2211yescharacteristic
42#16840471C2211yescharacteristic
43#16840465C2211yescharacteristic
44#16840463—21no—
45#16840461—21no—
46#16840459C2211yescharacteristic
47#16840457—21no—
48#16840453C2211yescharacteristic
49#16840451C2211yescharacteristic
50#16840445—21no—
51#16840441—21no—
52#16840436—21no—
53#16840430C2211yescharacteristic, complemented
54#16840422C2211yescharacteristic
55#16840420C2211yescharacteristic
56#16840411C2211yescharacteristic
57#16840407C2211yescharacteristic
58#16840400C2211yescharacteristic
59#16840316C2211yescharacteristic
60#16840309—21no—
61#16840309C2211yescharacteristic
62#16840299C2211yescharacteristic
63#16840299C2211yescharacteristic, complemented
64#16840296—21no—
65#16840296C2211yescharacteristic
66#16840292—21no—
67#16840292—21no—
68#16840290—21no—
69#16840271—21no—
70C4×#11758222C2211yescharacteristic
71C4×#11758222C2211yescharacteristic, complemented
72#16840230—21no—
73C4×#11758224C2211yescharacteristic
74C4×#11758224C2211yescharacteristic, complemented
75C4×Q8×D61C2211yescharacteristic
76C4×D4×D61C2211yescharacteristic
77C2×#14519734—21no—
78#16840163C2211yescharacteristic, complemented
79#16840161C2211yescharacteristic, complemented
80#16840159C2211yescharacteristic, complemented
81#16840147C2211yescharacteristic
82#16840144C2211yescharacteristic
83#16840133C2211yescharacteristic, complemented
84#16840119C2211yescharacteristic
85#16840118C2211yescharacteristic
86#16840118C2211yescharacteristic, complemented
87#16840116C2211yescharacteristic, complemented
88#16840111C2211yescharacteristic, complemented
89#16840107C2211yescharacteristic, complemented
90#16840104C2211yescharacteristic, complemented
91#16840101C2211yescharacteristic, complemented
92#16840101C2211yescharacteristic, complemented
93#16840099C2211yescharacteristic
94#16840096C2211yescharacteristic
95#16840088C2211yescharacteristic
96#16840088C2211yescharacteristic, complemented
97#16840087C2211yescharacteristic
98#16840077C2211yescharacteristic
99#16840074C2211yescharacteristic
100#16840072C2211yescharacteristic, complemented
101#16840072C2211yescharacteristic, complemented
102#16840070C2211yescharacteristic, complemented
103#16840064C2211yescharacteristic
104#16840064C2211yescharacteristic, complemented
105#16840063C2211yescharacteristic, complemented
106#16840056C2211yescharacteristic, complemented
107#16840055C2211yescharacteristic, complemented
108#16840041C2211yescharacteristic
109#16840040C2211yescharacteristic
110#16840001C2211yescharacteristic, complemented
111#16840000C2211yescharacteristic, complemented
112#16839999C2211yescharacteristic
113#16839996C2211yescharacteristic
114#16839994C2211yescharacteristic
115#16839994C2211yescharacteristic
116#16839994C2211yescharacteristic, complemented
117#16839993C2211yescharacteristic
118#16839992C2211yescharacteristic
119#16839990C2211yescharacteristic
120#16839989C2211yescharacteristic, complemented
121#16839988C2211yescharacteristic
122#16839987C2211yescharacteristic
123#16839987C2211yescharacteristic, complemented
124#16839985C2211yescharacteristic
125#16839979C2211yescharacteristic
126#16839979C2211yescharacteristic
127#16839978C2211yescharacteristic
128#16839971C2211yescharacteristic, complemented
129#16839970C2211yescharacteristic, complemented
130#16839956C2211yescharacteristic
131#16839955C2211yescharacteristic
132#16839926C2211yescharacteristic, complemented
133#16839921C2211yescharacteristic
134#16839921C2211yescharacteristic, complemented
135#16839919C2211yescharacteristic
136#16839916C2211yescharacteristic
137#16839909C2211yescharacteristic
138#16839908C2211yescharacteristic
139#16839908C2211yescharacteristic
140#16839897C2211yescharacteristic
141#16839894C2211yescharacteristic
142#16839886C2211yescharacteristic, complemented
143#16839886C2211yescharacteristic, complemented
144C4×Dic244C2211yescharacteristic, complemented
145#16839856C2211yescharacteristic, complemented
146C4×#11758202C2211yescharacteristic, complemented
147C4×#11758202C2211yescharacteristic, complemented
148C4×#11758202C2211yescharacteristic, complemented
149#16839853C2211yescharacteristic
150#16839853C2211yescharacteristic
151#16839853C2211yescharacteristic, complemented
152C4×#11758190C2211yescharacteristic
153C4×#11758190C2211yescharacteristic, complemented
154SD16×Dic61C2211yescharacteristic
155C4×#11758201C2211yescharacteristic
156C4×#11758201C2211yescharacteristic, complemented
157C4×#11758201C2211yescharacteristic, complemented
158#16839849C2211yescharacteristic
159C4×#11758200C2211yescharacteristic
160C4×#11758200C2211yescharacteristic
161C4×#11758200C2211yescharacteristic, complemented
162#16839847C2211yescharacteristic
163C4×D488C2211yescharacteristic
164D8×Dic61C2211yescharacteristic
165C4×#11758199C2211yescharacteristic
166C4×#11758199C2211yescharacteristic
167C4×#11758199C2211yescharacteristic
168#16839827C2211yescharacteristic
169#16839827C2211yescharacteristic
170#16839825C2211yescharacteristic
171#16839825C2211yescharacteristic
172#16839825C2211yescharacteristic, complemented
173#16839825C2211yescharacteristic, complemented
174#16839813C2211yescharacteristic
175#16839813C2211yescharacteristic, complemented
176#16839799C2211yescharacteristic, complemented
177#16839798C2211yescharacteristic, complemented
178#106×D61C2211yescharacteristic
179#16839758C2211yescharacteristic
180#16839756C2211yescharacteristic, complemented
181#16839755C2211yescharacteristic
182#16839755C2211yescharacteristic, complemented
183#103×D61C2211yescharacteristic
184#102×D61C2211yescharacteristic
185C2×C4×#92418C2211yescharacteristic, complemented
186C4×C8×D61C2211yescharacteristic
187C4×C8×D61C2211yescharacteristic, complemented
188C61×#529C2211yescharacteristic, complemented
189C4×#41×C61C2211yescharacteristic
190C61×#485C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#479C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic
194C61×#464C2211yescharacteristic, complemented
195C61×#463C2211yescharacteristic
196C61×#452C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C4×Q16×C61C2211yescharacteristic, complemented
199C4×SD16×C61C2211yescharacteristic
200C4×SD16×C61C2211yescharacteristic, complemented
201C4×D8×C61C2211yescharacteristic
202C61×#431C2211yescharacteristic, complemented
203C2×#11758222—21no—
204C2×#11758222D411yescharacteristic
205C2×#11758222C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C2×#11758224C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×D4×D61C2311yescharacteristic
210C22×C4×D61—21no—
211#14519797—24no—
212#14519796—24no—
213C2×Dic244C2311yescharacteristic
214C2×#11758202C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758190C2311yescharacteristic
217C2×#11758190C2311yescharacteristic
218C2×#11758200C2311yescharacteristic
219C2×#11758200C2311yescharacteristic
220C2×#11758201C2311yescharacteristic
221C2×#11758201C2311yescharacteristic
222SD16×D61—24no—
223C2×D488C2311yescharacteristic
224C2×#11758199C2311yescharacteristic
225C2×#11758199C2311yescharacteristic
226C22×#92418C2311yescharacteristic
227C22×#92418C2311yescharacteristic
228C2×C8×D61C2311yescharacteristic
229C2×C8×D61C2311yescharacteristic
230C2×C8×D61C2311yescharacteristic
231C2×C8×D61C2311yescharacteristic
232#14519776—21no—
233#14519776C2311yescharacteristic
234#14519776C2311yescharacteristic
235#14519775C2311yescharacteristic
236#14519773—21no—
237#14519773C2311yescharacteristic
238#14519772—21no—
239#14519772—21no—
240#14519772—21no—
241#14519772—21no—
242#14519772—21no—
243#14519771—21no—
244#14519771—21no—
245#14519771—21no—
246#14519770—21no—
247#14519770—21no—
248#14519770—21no—
249#14519769—21no—
250#14519769C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519768C2311yescharacteristic
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519766C2311yescharacteristic
258#14519766C2311yescharacteristic
259#14519765—21no—
260#14519765C2311yescharacteristic
261#14519763—21no—
262#14519763—21no—
263#14519763—21no—
264#14519763—21no—
265#14519763—21no—
266#14519763—21no—
267#14519762—21no—
268#14519762—21no—
269#14519762—21no—
270#14519762—21no—
271#14519761—21no—
272#14519761—21no—
273#14519760—21no—
274#14519760—21no—
275#14519760—21no—
276#14519759—21no—
277#14519759—21no—
278#14519758—21no—
279#14519758—21no—
280#14519757C2311yescharacteristic
281#14519756—21no—
282#14519756C2311yescharacteristic
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519754—21no—
287#14519754—21no—
288#14519754—21no—
289#14519753C2311yescharacteristic
290#14519753C2311yescharacteristic
291#14519753C2311yescharacteristic
292#14519752—21no—
293#14519752C2311yescharacteristic
294#14519752C2311yescharacteristic
295#14519752C2311yescharacteristic
296#14519751—21no—
297#14519751C2311yescharacteristic
298#14519750—21no—
299#14519750—21no—
300#14519750—21no—
301#14519750—21no—
302#14519750—21no—
303#14519749—21no—
304#14519749—21no—
305#14519749—21no—
306#14519748—21no—
307#14519748C2311yescharacteristic
308#14519747—21no—
309#14519745—21no—
310Q8×Dic61C2311yescharacteristic
311C4×Dic122—21no—
312C4×Dic122—21no—
313C4×Dic122D411yescharacteristic
314C4×Dic122C2311yescharacteristic
315C4×Dic122C2311yescharacteristic
316C4×Dic122C2311yescharacteristic
317C4×Dic122C2311yescharacteristic
318#14519742—21no—
319#14519742—21no—
320#14519742—21no—
321#14519742C2311yescharacteristic
322#14519742C2311yescharacteristic
323#14519742C2311yescharacteristic
324C4×D244—21no—
325C4×D244—21no—
326C4×D244D411yescharacteristic
327C4×D244C2311yescharacteristic
328C4×D244C2311yescharacteristic
329C4×D244C2311yescharacteristic
330C4×D244C2311yescharacteristic
331D4×Dic61C2311yescharacteristic
332D4×Dic61C2311yescharacteristic
333D4×Dic61C2311yescharacteristic
334#14519739—21no—
335#14519739—21no—
336#14519739C2311yescharacteristic
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339C4×C22⋊D61—21no—
340C4×C22⋊D61—21no—
341C4×C22⋊D61—21no—
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344C4×C22⋊D61D411yescharacteristic
345C4×C22⋊D61D411yescharacteristic
346C4×C22⋊D61C2311yescharacteristic
347C4×C22⋊D61C2311yescharacteristic
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519737—21no—
352#14519737—21no—
353#14519737—21no—
354#14519737—21no—
355#14519736D411yescharacteristic
356#14519736C2311yescharacteristic
357#14519735C2311yescharacteristic
358#14519735C2311yescharacteristic
359#14519734—21no—
360#14519734—21no—
361#14519734—21no—
362#14519734—21no—
363#14519734—21no—
364#14519734—21no—
365#14519734—21no—
366#14519734—21no—
367#14519734—21no—
368#14519734D411yescharacteristic
369#14519734D411yescharacteristic
370#14519733—21no—
371#14519733—21no—
372C2×#11758196—21no—
373C2×#11758196—21no—
374C4⋊C4×D61—21no—
375C4⋊C4×D61C2311yescharacteristic
376C4⋊C4×D61C2311yescharacteristic
377C2×#11758198—21no—
378C2×#11758198—21no—
379C22⋊C4×D61—21no—
380C2×C4×Dic61—21no—
381C2×C4×Dic61—21no—
382C42×D61—21no—
383C42×D61—21no—
384C42×D61C2311yescharacteristic
385C42×D61C2311yescharacteristic
386#14519711C2311yescharacteristic
387#14519711C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430C4×#92418C2311yescharacteristic
431C4×#92418C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C2×#41×C61C2311yescharacteristic
439C2×Q16×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×D8×C61C2311yescharacteristic
443#126×C61—21no—
444#125×C61C2311yescharacteristic
445#124×C61C2311yescharacteristic
446#123×C61—21no—
447C22⋊Q8×C61C2311yescharacteristic
448#121×C61C2311yescharacteristic
449C4×Q8×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×D4×C61—21no—
453C4×D4×C61—21no—
454C4×D4×C61—21no—
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458#117×C61—21no—
459#117×C61—21no—
460#117×C61C2311yescharacteristic
461C2×C42×C61—21no—
462C2×C42×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477C22⋊C8×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479C4×C8×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C23×D61—21no—
482#41×C61—22no—
483#41×C61—41no—
484C2×Q8×C61C2411yescharacteristic
485C2×Q8×C61C2411yescharacteristic
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61C2411yescharacteristic
489C2×D4×C61C2411yescharacteristic
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61C2×D411yescharacteristic
495C22×C4×C61C2×D411yescharacteristic
496C22×C4×C61C2411yescharacteristic
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61C2×D411yescharacteristic
506C2×C22⋊D61C2×D411yescharacteristic
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512Q8×D61—22no—
513Q8×D61—41no—
514#11758224—22no—
515#11758224—22no—
516#11758224—41no—
517#11758224—41no—
518D4×D61—22no—
519D4×D61—41no—
520#11758222—24no—
521#11758222—22no—
522#11758222—41no—
523#11758222—44no—
524C2×D244—21no—
525C2×D244—21no—
526C2×D244—21no—
527C2×D244C2×D411yescharacteristic
528C2×D244C2411yescharacteristic
529C2×D244C2411yescharacteristic
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61—44no—
539C2×C4×D61C2×D411yescharacteristic
540C2×C4×D61C2×D411yescharacteristic
541C2×C4×D61C2×D411yescharacteristic
542C2×C4×D61C2×D411yescharacteristic
543C2×C4×D61C2411yescharacteristic
544C2×C4×D61C2411yescharacteristic
545C2×Dic122—21no—
546C2×Dic122—21no—
547C2×Dic122—21no—
548C2×Dic122C2×D411yescharacteristic
549C2×Dic122C2411yescharacteristic
550C2×Dic122C2411yescharacteristic
551Q16×C61—41no—
552SD16×C61—22no—
553SD16×C61—41no—
554D8×C61—22no—
555C2×C8×C61C2411yescharacteristic
556C2×C8×C61C2411yescharacteristic
557C2×C8×C61C2411yescharacteristic
558C2×C8×C61C2411yescharacteristic
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C42×C61—21no—
578C42×C61—21no—
579C42×C61—21no—
580C42×C61—21no—
581C42×C61C2×D411yescharacteristic
582C42×C61C2×D411yescharacteristic
583C42×C61C2411yescharacteristic
584C42×C61C2411yescharacteristic
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61C2×D411yescharacteristic
592C22⋊Dic61C2×D411yescharacteristic
593#11758202—22no—
594#11758202—41no—
595#11758201—22no—
596#11758201—22no—
597#11758200—22no—
598#11758200#4114yescomplemented
599#11758199—22no—
600#11758199—41no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198C2×D411yescharacteristic
622#11758198C2×D411yescharacteristic
623#11758198C2×D411yescharacteristic
624#11758198C2×D411yescharacteristic
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61C2×D411yescharacteristic
630C4⋊Dic61C2×D411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
632C4⋊Dic61C2411yescharacteristic
633C4⋊Dic61C2411yescharacteristic
634C4⋊Dic61C2411yescharacteristic
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196C2×D411yescharacteristic
656#11758196C2×D411yescharacteristic
657#11758196C2×D411yescharacteristic
658#11758196C2×D411yescharacteristic
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61C2×D411yescharacteristic
670C4×Dic61C2×D411yescharacteristic
671C4×Dic61C2×D411yescharacteristic
672C4×Dic61C2×D411yescharacteristic
673C4×Dic61C2411yescharacteristic
674C4×Dic61C2411yescharacteristic
675C2×#92418—22no—
676C2×#92418—41no—
677C2×#92418C2411yescharacteristic
678C2×#92418C2411yescharacteristic
679C2×#92418C2411yescharacteristic
680C2×#92418C2411yescharacteristic
681Dic244—22no—
682D488—41no—
683#11758190—22no—
684#11758190—41no—
685C8×D61—22no—
686C8×D61—22no—
687C8×D61—41no—
688C8×D61—41no—
689C23×C61—21no—
690C23×C61—21no—
691C23×C61C22×D411yescharacteristic
692C22×D61—21no—
693C22×D61—21no—
694C22×D61—42no—
695C22×D61—42no—
696C22×D61—81no—
697C22×D61C22×D411yescharacteristic
698C22×D61C22×D411yescharacteristic
699Q8×C61—21no—
700Q8×C61—21no—
701Q8×C61—21no—
702Q8×C61—21no—
703D4×C61—21no—
704D4×C61—21no—
705D4×C61—21no—
706D4×C61—42no—
707D4×C61—81no—
708D4×C61C2×#4112yes—
709C2×C4×C61—22no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—41no—
719C2×C4×C61—42no—
720C2×C4×C61—42no—
721C2×C4×C61—42no—
722C2×C4×C61—81no—
723C2×C4×C61C22×D411yescharacteristic
724C2×C4×C61C22×D411yescharacteristic
725C2×C4×C61C22×D411yescharacteristic
726C2×C4×C61C22×D411yescharacteristic
727C2×C4×C61C22×D411yescharacteristic
728C2×C4×C61C2511yescharacteristic
729C22⋊D61—22no—
730C22⋊D61—22no—
731C22⋊D61—42no—
732C22⋊D61—42no—
733C22⋊D61—42no—
734C22⋊D61—42no—
735C22⋊D61—42no—
736C22⋊D61—42no—
737C22⋊D61—81no—
738C22⋊D61—81no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—42no—
746C2×Dic61—42no—
747C2×Dic61—42no—
748C2×Dic61—81no—
749C2×Dic61—81no—
750C2×Dic61C22×D411yescharacteristic
751C2×Dic61C22×D411yescharacteristic
752C2×Dic61C22×D411yescharacteristic
753C2×Dic61C22×D411yescharacteristic
754C2×Dic61C22×D411yescharacteristic
755C2×Dic61C22×D411yescharacteristic
756D244—22no—
757D244—21no—
758D244—21no—
759D244—21no—
760D244—21no—
761D244—42no—
762D244—81no—
763D244—81no—
764C4×D61—22no—
765C4×D61—21no—
766C4×D61—21no—
767C4×D61—21no—
768C4×D61—21no—
769C4×D61—41no—
770C4×D61—41no—
771C4×D61—42no—
772C4×D61—42no—
773C4×D61—42no—
774C4×D61—42no—
775C4×D61—42no—
776C4×D61—42no—
777C4×D61—81no—
778C4×D61—81no—
779C4×D61#13514yescomplemented
780Dic122—21no—
781Dic122—22no—
782Dic122—21no—
783Dic122—21no—
784Dic122—42no—
785Dic122—42no—
786Dic122—81no—
787Dic122C2×#4112yes—
788C8×C61—21no—
789C8×C61—21no—
790C8×C61—21no—
791C8×C61—21no—
792#92418—21no—
793#92418—21no—
794#92418—21no—
795#92418C2×#4112yes—
796#61428—611nomaximal, Sylow
797C22×C61—21no—
798C22×C61—22no—
799C22×C61—21no—
800C22×C61—21no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61C23×D411yescharacteristic
807C2×D61—21no—
808C2×D61—21no—
809C2×D61—21no—
810C2×D61—21no—
811C2×D61—21no—
812C2×D61—41no—
813C2×D61—41no—
814C2×D61—41no—
815C2×D61—41no—
816C2×D61—41no—
817C2×D61—41no—
818C2×D61—84no—
819C2×D61C2×#13512yes—
820C4×C61—21no—
821C4×C61—21no—
822C4×C61—21no—
823C4×C61—21no—
824C4×C61—41no—
825C4×C61—41no—
826C4×C61—41no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61C2×#13512yes—
831C4×C61C22×#4111yescharacteristic
832C4×C61#58511yescharacteristic
833Dic61—21no—
834Dic61—21no—
835Dic61—22no—
836Dic61—21no—
837Dic61—21no—
838Dic61—21no—
839Dic61—41no—
840Dic61—41no—
841Dic61—41no—
842Dic61—41no—
843Dic61—41no—
844Dic61C2×#13512yes—
845#3480—611no—
846#3475—611no—
847#3394—611no—
848#3381—611no—
849#3364—611no—
850#3361—611no—
851#3340—611no—
852#3337—611no—
853#3337—611no—
854#3305—611no—
855#3302—611no—
856#3300—611no—
857#3300—611no—
858#3297—611no—
859#3297—611no—
860#3284—611no—
861#3282—611no—
862#3282—611no—
863#3168—611no—
864#3168—611no—
865#3167—611no—
866#3104—611no—
867#3102—611no—
868#3102—611no—
869#3102—611no—
870#3102D6111yescharacteristic, complemented
871#3100—611no—
872C8×#41—611no—
873C4×#135—611no—
874C4×#135—611no—
875C2×C4×SD16—611no—
876C2×C61—42no—
877C2×C61—41no—
878C2×C61—81no—
879C2×C61D4×#4111yescharacteristic
880C2×C61C22×#13511yescharacteristic
881C2×C61#358411yescharacteristic
882D61—22no—
883D61—41no—
884D61—81no—
885D61—81no—
886C2×#135—611no—
887C2×#135—611no—
888C22×SD16—611no—
889#559—611no—
890#559—1221no—
891#557—611no—
892#556—611no—
893#556—611no—
894#556—1221no—
895#555—611no—
896#554—611no—
897#553—611no—
898#553—611no—
899#553—1221no—
900#553—1221no—
901#553—1221no—
902#552—611no—
903#552—611no—
904#552—1221no—
905#551—1221no—
906#551—1221no—
907#550—611no—
908#548—611no—
909#548—611no—
910#547—611no—
911#546—611no—
912#546—611no—
913#533—611no—
914#532—611no—
915#532—1221no—
916#529—611no—
917#529—611no—
918#529—611no—
919#529—1221no—
920#529—1221no—
921#529—1221no—
922#529—1221no—
923#529C2×D6111yescharacteristic, complemented
924#525—1221no—
925C4×#41—611no—
926C4×#41—611no—
927C4×#41—611no—
928C4×#41—611no—
929C4×#41—1221no—
930C4×#41C2×D6111yescharacteristic
931C2×C4×Q8—611no—
932C2×C4×D4—611no—
933C2×#117—1221no—
934#499—611no—
935#499—611no—
936#498—611no—
937#495—611no—
938#495—611no—
939#492—611no—
940#488—611no—
941#488—611no—
942#488—611no—
943#488—611no—
944#487—611no—
945#486—611no—
946#485—611no—
947#485—611no—
948#485—611no—
949#485C2×D6111yescharacteristic, complemented
950#484—611no—
951#484—611no—
952#482—611no—
953#482—611no—
954#482—611no—
955#482C2×D6111yescharacteristic, complemented
956#480—611no—
957#480—611no—
958#479—611no—
959#479—611no—
960#479—611no—
961#479C2×D6111yescharacteristic, complemented
962#478—611no—
963#478—611no—
964#478—611no—
965#478C2×D6111yescharacteristic
966#477—611no—
967#477—611no—
968#474—611no—
969#474—611no—
970#467—611no—
971#467—611no—
972#466—611no—
973#466—611no—
974#465—611no—
975#465—611no—
976#465—611no—
977#465—611no—
978#465—611no—
979#465—611no—
980#465—611no—
981#465—611no—
982#464—611no—
983#464—611no—
984#464—611no—
985#464C2×D6111yescharacteristic, complemented
986#463—611no—
987#463—611no—
988#463—611no—
989#463C2×D6111yescharacteristic
990#462—611no—
991#462—611no—
992#459—611no—
993#459—611no—
994#452—611no—
995#452—611no—
996#452—611no—
997#452C2×D6111yescharacteristic
998#451—611no—
999#451—611no—
1000#449—611no—
1001#449—611no—
1002#449—611no—
1003#449C2×D6111yescharacteristic
1004#447—611no—
1005#447—611no—
1006C8×Q8—611no—
1007C8×Q8—611no—
1008C4×Q16—611no—
1009C4×Q16—611no—
1010C4×Q16—611no—
1011C4×Q16—611no—
1012C4×Q16—611no—
1013C4×Q16C2×D6111yescharacteristic, complemented
1014C4×SD16—611no—
1015C4×SD16—611no—
1016C4×SD16—611no—
1017C4×SD16—611no—
1018C4×SD16—611no—
1019C4×SD16—611no—
1020C4×SD16—611no—
1021C4×SD16—611no—
1022C4×SD16—611no—
1023C4×SD16—611no—
1024C4×SD16—611no—
1025C4×SD16—611no—
1026C4×SD16—611no—
1027C4×SD16—611no—
1028C4×SD16C2×D6111yescharacteristic
1029C4×SD16C2×D6111yescharacteristic, complemented
1030C4×D8—611no—
1031C4×D8—611no—
1032C4×D8—611no—
1033C4×D8—611no—
1034C4×D8—611no—
1035C4×D8C2×D6111yescharacteristic
1036C8×D4—611no—
1037C8×D4—611no—
1038C8×D4—611no—
1039C8×D4—611no—
1040C8×D4—611no—
1041C8×D4—611no—
1042#431—611no—
1043#431—611no—
1044#431C2×D6111yescharacteristic, complemented
1045#427—611no—
1046#427—611no—
1047C2×#106—611no—
1048#416—611no—
1049#416—611no—
1050#416—611no—
1051#416—611no—
1052C2×#103—611no—
1053C2×#102—611no—
1054C2×C4×C8—611no—
1055C2×C4×C8—611no—
1056C2×C4×C8—611no—
1057C61#6142811yescharacteristic, complemented, Sylow
1058C2×#41—611no—
1059C2×#41—611no—
1060C2×#41—611no—
1061C2×#41—611no—
1062C2×#41—1221no—
1063C2×#41C22×D6111yescharacteristic
1064C22×Q8—611no—
1065C22×D4—611no—
1066C23×C4—1221no—
1067#135—1224no—
1068#135—1224no—
1069C2×Q16—611no—
1070C2×Q16—611no—
1071C2×Q16—611no—
1072C2×Q16C22×D6111yescharacteristic
1073C2×SD16—611no—
1074C2×SD16—611no—
1075C2×SD16—611no—
1076C2×SD16—611no—
1077C2×SD16—611no—
1078C2×SD16—611no—
1079C2×SD16—1224no—
1080C2×SD16C22×D6111yescharacteristic
1081C2×SD16C22×D6111yescharacteristic
1082C2×D8—611no—
1083C2×D8—611no—
1084C2×D8—611no—
1085C2×D8C22×D6111yescharacteristic
1086C22×C8—611no—
1087C22×C8—611no—
1088C22×C8—611no—
1089C22×C8—611no—
1090C22×C8—611no—
1091C22×C8—611no—
1092C4⋊Q8—611no—
1093C4⋊Q8—611no—
1094C4⋊Q8—611no—
1095C4⋊Q8—1221no—
1096#127—611no—
1097#127—1221no—
1098#126—21no—
1099#126—1221no—
1100#126—1221no—
1101#126—1221no—
1102#126—1221no—
1103#126—1221no—
1104#126—1221no—
1105#126—1221no—
1106#126—1221no—
1107#126—1221no—
1108#126—1221no—
1109#126—1221no—
1110#125—611no—
1111#125—611no—
1112#125—611no—
1113#125—1221no—
1114#125—1221no—
1115#125—1221no—
1116#125—1221no—
1117#125—1221no—
1118#125C22×D6111yescharacteristic
1119#124—611no—
1120#124—611no—
1121#124—611no—
1122#124—1221no—
1123#124—1221no—
1124#124—1221no—
1125#124—1221no—
1126#124—1221no—
1127#124—1221no—
1128#124—1221no—
1129#124C22×D6111yescharacteristic
1130#123—21no—
1131#123—1221no—
1132#123—1221no—
1133#123—1221no—
1134#123—1221no—
1135#123—1221no—
1136#123—1221no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140#123—1221no—
1141#123—1221no—
1142#123—1221no—
1143#123—1221no—
1144C22⋊Q8—611no—
1145C22⋊Q8—611no—
1146C22⋊Q8—611no—
1147C22⋊Q8—611no—
1148C22⋊Q8—611no—
1149C22⋊Q8—1221no—
1150C22⋊Q8—1221no—
1151C22⋊Q8—1221no—
1152C22⋊Q8—1221no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8C22×D6111yescharacteristic
1157#121—611no—
1158#121—611no—
1159#121—611no—
1160#121—611no—
1161#121—611no—
1162#121—1221no—
1163#121—1221no—
1164#121—1221no—
1165#121—1221no—
1166#121—1221no—
1167#121—1221no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121—1221no—
1173#121C22×D6111yescharacteristic
1174#120—1221no—
1175#120—1221no—
1176C4×Q8—611no—
1177C4×Q8—611no—
1178C4×Q8—611no—
1179C4×Q8—611no—
1180C4×Q8—611no—
1181C4×Q8—611no—
1182C4×Q8—611no—
1183C4×Q8—611no—
1184C4×Q8—611no—
1185C4×Q8—1221no—
1186C4×Q8—1221no—
1187C4×Q8—1221no—
1188C4×Q8—1221no—
1189C4×Q8—1221no—
1190C4×Q8C22×D6111yescharacteristic
1191C4×Q8C22×D6111yescharacteristic
1192C4×Q8C22×D6111yescharacteristic
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—611no—
1197C4×D4—611no—
1198C4×D4—611no—
1199C4×D4—611no—
1200C4×D4—611no—
1201C4×D4—611no—
1202C4×D4—611no—
1203C4×D4—611no—
1204C4×D4—611no—
1205C4×D4—611no—
1206C4×D4—611no—
1207C4×D4—611no—
1208C4×D4—611no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4—1221no—
1214C4×D4—1221no—
1215C4×D4—1221no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4—1221no—
1224C4×D4—1221no—
1225C4×D4—1221no—
1226C4×D4—1221no—
1227C4×D4C22×D6111yescharacteristic
1228C4×D4C22×D6111yescharacteristic
1229C4×D4C22×D6111yescharacteristic
1230#117—21no—
1231#117—21no—
1232#117—611no—
1233#117—611no—
1234#117—611no—
1235#117—611no—
1236#117—611no—
1237#117—611no—
1238#117—1221no—
1239#117—1221no—
1240#117—1221no—
1241#117—1221no—
1242#117—1221no—
1243#117—1221no—
1244#117—1221no—
1245#117—1221no—
1246#117—1221no—
1247#117—1221no—
1248#117—1221no—
1249#117C22×D6111yescharacteristic
1250C2×C4⋊C4—611no—
1251C2×C4⋊C4—611no—
1252C2×C4⋊C4—1221no—
1253C2×C4⋊C4—1221no—
1254C2×C4⋊C4—1221no—
1255C2×C22⋊C4—1221no—
1256C2×C22⋊C4—1221no—
1257C2×C22⋊C4—1221no—
1258C2×C42—21no—
1259C2×C42—611no—
1260C2×C42—611no—
1261C2×C42—1221no—
1262C2×C42—1221no—
1263C2×C42—1221no—
1264C2×C42—1221no—
1265C2×C42C22×D6111yescharacteristic
1266#107—611no—
1267#107—611no—
1268#107—611no—
1269#107—611no—
1270#107—611no—
1271#107—611no—
1272#107C22×D6111yescharacteristic
1273#107C22×D6111yescharacteristic
1274#106—611no—
1275#106—611no—
1276#106—611no—
1277#106—611no—
1278#106—611no—
1279#106—611no—
1280#106C22×D6111yescharacteristic
1281#106C22×D6111yescharacteristic
1282C4⋊C8—611no—
1283C4⋊C8—611no—
1284C4⋊C8—611no—
1285C4⋊C8—611no—
1286C4⋊C8C22×D6111yescharacteristic
1287C4⋊C8C22×D6111yescharacteristic
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103—611no—
1295#103—611no—
1296#103—611no—
1297#103—611no—
1298#103—611no—
1299#103—611no—
1300#103C22×D6111yescharacteristic
1301#103C22×D6111yescharacteristic
1302#103C22×D6111yescharacteristic
1303#103C22×D6111yescharacteristic
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307#102—611no—
1308#102—611no—
1309#102—611no—
1310#102—611no—
1311#102—611no—
1312#102—611no—
1313#102—611no—
1314#102—611no—
1315#102—611no—
1316#102C22×D6111yescharacteristic
1317#102C22×D6111yescharacteristic
1318#102C22×D6111yescharacteristic
1319#102C22×D6111yescharacteristic
1320C22⋊C8—611no—
1321C22⋊C8—611no—
1322C22⋊C8—611no—
1323C22⋊C8—611no—
1324C22⋊C8C22×D6111yescharacteristic
1325C22⋊C8C22×D6111yescharacteristic
1326C4×C8—611no—
1327C4×C8—611no—
1328C4×C8—611no—
1329C4×C8—611no—
1330C4×C8—611no—
1331C4×C8—611no—
1332C4×C8—611no—
1333C4×C8—611no—
1334C4×C8C22×D6111yescharacteristic
1335C4×C8C22×D6111yescharacteristic
1336C24—1221no—
1337#41—22no—
1338#41—41no—
1339#41—1224no—
1340#41—1222no—
1341#41—1222no—
1342#41—1222no—
1343#41—2441no—
1344#41—2444no—
1345#41—2441no—
1346#41—2441no—
1347C2×Q8—611no—
1348C2×Q8—611no—
1349C2×Q8—611no—
1350C2×Q8—1221no—
1351C2×Q8—1221no—
1352C2×Q8—1221no—
1353C2×Q8—1222no—
1354C2×Q8—2441no—
1355C2×Q8C23×D6111yescharacteristic
1356C2×Q8C23×D6111yescharacteristic
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—611no—
1360C2×D4—611no—
1361C2×D4—611no—
1362C2×D4—611no—
1363C2×D4—611no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—1221no—
1367C2×D4—1221no—
1368C2×D4—1221no—
1369C2×D4—1221no—
1370C2×D4—1222no—
1371C2×D4—1221no—
1372C2×D4—1221no—
1373C2×D4—1221no—
1374C2×D4—1221no—
1375C2×D4—1221no—
1376C2×D4—2441no—
1377C2×D4C23×D6111yescharacteristic
1378C2×D4C23×D6111yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—611no—
1384C22×C4—611no—
1385C22×C4—611no—
1386C22×C4—611no—
1387C22×C4—611no—
1388C22×C4—611no—
1389C22×C4—1221no—
1390C22×C4—1221no—
1391C22×C4—1221no—
1392C22×C4—1221no—
1393C22×C4—1221no—
1394C22×C4—1221no—
1395C22×C4—1221no—
1396C22×C4—1221no—
1397C22×C4—1221no—
1398C22×C4—1221no—
1399C22×C4—1221no—
1400C22×C4—1221no—
1401C22×C4—1221no—
1402C22×C4—2444no—
1403C22×C4D4×D6111yescharacteristic
1404C22×C4D4×D6111yescharacteristic
1405C22×C4C23×D6111yescharacteristic
1406Q16—41no—
1407Q16—1222no—
1408Q16—1222no—
1409Q16—2441no—
1410SD16—22no—
1411SD16—41no—
1412SD16—614no—
1413SD16—1222no—
1414SD16—1222no—
1415SD16—1222no—
1416SD16—1222no—
1417SD16—2441no—
1418D8—22no—
1419D8—1222no—
1420D8—2441no—
1421D8—2441no—
1422C2×C8—611no—
1423C2×C8—611no—
1424C2×C8—611no—
1425C2×C8—611no—
1426C2×C8—1222no—
1427C2×C8—1222no—
1428C2×C8—1222no—
1429C2×C8—2441no—
1430C2×C8—2441no—
1431C2×C8—2441no—
1432C2×C8C23×D6111yescharacteristic
1433C2×C8C23×D6111yescharacteristic
1434C2×C8C23×D6111yescharacteristic
1435C2×C8C23×D6111yescharacteristic
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—611no—
1443C4⋊C4—611no—
1444C4⋊C4—611no—
1445C4⋊C4—611no—
1446C4⋊C4—611no—
1447C4⋊C4—611no—
1448C4⋊C4—611no—
1449C4⋊C4—611no—
1450C4⋊C4—611no—
1451C4⋊C4—611no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4—1221no—
1475C4⋊C4—1221no—
1476C4⋊C4C23×D6111yescharacteristic
1477C4⋊C4C23×D6111yescharacteristic
1478C4⋊C4C23×D6111yescharacteristic
1479C4⋊C4C23×D6111yescharacteristic
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—611no—
1489C22⋊C4—611no—
1490C22⋊C4—611no—
1491C22⋊C4—611no—
1492C22⋊C4—611no—
1493C22⋊C4—611no—
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—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4—1221no—
1511C22⋊C4—1221no—
1512C22⋊C4—1221no—
1513C22⋊C4—1221no—
1514C22⋊C4—1221no—
1515C22⋊C4—1221no—
1516C22⋊C4—1221no—
1517C22⋊C4—1221no—
1518C22⋊C4—1221no—
1519C22⋊C4—1221no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—611no—
1525C42—611no—
1526C42—611no—
1527C42—611no—
1528C42—611no—
1529C42—611no—
1530C42—1221no—
1531C42—1221no—
1532C42—1221no—
1533C42—1221no—
1534C42—1221no—
1535C42—1221no—
1536C42—1221no—
1537C42—1221no—
1538C42—1221no—
1539C42—1221no—
1540C42D4×D6111yescharacteristic
1541C42D4×D6111yescharacteristic
1542C42C23×D6111yescharacteristic
1543C42C23×D6111yescharacteristic
1544C23—21no—
1545C23—21no—
1546C23—611no—
1547C23—611no—
1548C23—1221no—
1549C23—1221no—
1550C23—4881no—
1551C23—2442no—
1552C23—2442no—
1553C23C2×D4×D6111yescharacteristic
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—21no—
1558Q8—612no—
1559Q8—1222no—
1560Q8—1221no—
1561Q8—1221no—
1562Q8—1221no—
1563Q8—4881no—
1564Q8—2442no—
1565Q8—2442no—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—42no—
1570D4—81no—
1571D4—1222no—
1572D4—1222no—
1573D4—1222no—
1574D4—1221no—
1575D4—1221no—
1576D4—1221no—
1577D4—1221no—
1578D4—4881no—
1579D4—4881no—
1580D4—4881no—
1581D4—4881no—
1582D4—2442no—
1583D4—2442no—
1584D4—2442no—
1585D4—2442no—
1586D4—2442no—
1587D4—2442no—
1588D4—2442no—
1589D4#41×D6112yes—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—41no—
1600C2×C4—42no—
1601C2×C4—42no—
1602C2×C4—42no—
1603C2×C4—81no—
1604C2×C4—611no—
1605C2×C4—614no—
1606C2×C4—611no—
1607C2×C4—611no—
1608C2×C4—611no—
1609C2×C4—611no—
1610C2×C4—611no—
1611C2×C4—1221no—
1612C2×C4—1222no—
1613C2×C4—1221no—
1614C2×C4—1221no—
1615C2×C4—1221no—
1616C2×C4—1221no—
1617C2×C4—1221no—
1618C2×C4—1221no—
1619C2×C4—1221no—
1620C2×C4—1221no—
1621C2×C4—1221no—
1622C2×C4—4881no—
1623C2×C4—4881no—
1624C2×C4—4881no—
1625C2×C4—4881no—
1626C2×C4—2441no—
1627C2×C4—2441no—
1628C2×C4—2442no—
1629C2×C4—2442no—
1630C2×C4—2442no—
1631C2×C4—2442no—
1632C2×C4—2442no—
1633C2×C4—2442no—
1634C2×C4—2442no—
1635C2×C4—2442no—
1636C2×C4—2442no—
1637C2×C4C2×D4×D6111yescharacteristic
1638C2×C4C2×D4×D6111yescharacteristic
1639C2×C4C2×D4×D6111yescharacteristic
1640C2×C4C2×D4×D6111yescharacteristic
1641C2×C4C2×D4×D6111yescharacteristic
1642C2×C4C24×D6111yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—612no—
1648C8—1221no—
1649C8—1221no—
1650C8—1221no—
1651C22—21no—
1652C22—21no—
1653C22—22no—
1654C22—21no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—612no—
1661C22—1221no—
1662C22—1221no—
1663C22—1221no—
1664C22—1221no—
1665C22—1221no—
1666C22—4884no—
1667C22—2441no—
1668C22—2441no—
1669C22—2441no—
1670C22—2441no—
1671C22—2441no—
1672C22—2441no—
1673C22C22×D4×D6111yescharacteristic
1674C4—21no—
1675C4—21no—
1676C4—21no—
1677C4—21no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—612no—
1685C4—1221no—
1686C4—1221no—
1687C4—1221no—
1688C4—1222no—
1689C4—1221no—
1690C4—1221no—
1691C4—2441no—
1692C4—2441no—
1693C4—2441no—
1694C4—2441no—
1695C4—2441no—
1696C4#135×D6112yes—
1697C4C2×#41×D6111yescharacteristic
1698C4#1684059811yescharacteristic
1699C2—41no—
1700C2—42no—
1701C2—81no—
1702C2—1222no—
1703C2—4881no—
1704C2—4881no—
1705C2—2441no—
1706C2#2145930211yescharacteristic
1707C2C2×#135×D6111yescharacteristic
1708C2#2146059211yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3102C2
socleC22×C61C23×D4
hypercenter#3102D61
hypocenterC61#61428
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3102

Complements

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

NH ≅ G/Ntype
1. #21459410C2semidirect
2. #21459381C2semidirect
3. #21458810C2semidirect
4. #21458689C2semidirect
5. #21458507C2semidirect
6. #21458474C2semidirect
7. #21458225C2semidirect
8. #21458195C2semidirect
9. #21458191C2semidirect
10. #21457767C2semidirect
11. #21457729C2semidirect
12. #21457713C2semidirect
13. #21457709C2semidirect
14. #21457666C2semidirect
15. #21457662C2semidirect
16. #21457547C2semidirect
17. #21457532C2semidirect
18. #21457524C2semidirect
19. #21456392C2semidirect
20. #21456383C2semidirect
21. #21456375C2semidirect
22. #21455856C2semidirect
23. #21455841C2semidirect
24. #21455841C2semidirect
25. #21455839C2semidirect
26. #21455817C2semidirect
27. #21454775C2semidirect
28. C4×#14519797C2semidirect
29. C4×#14519796C2semidirect
30. C4×SD16×D61C2semidirect
31. C61×#3102C2semidirect
36. #16840494C22semidirect
37. #16840489C22semidirect
39. #16840483C22semidirect
53. #16840430C22semidirect
63. #16840299C22semidirect
71. C4×#11758222C22semidirect
74. C4×#11758224C22semidirect
78. #16840163C22semidirect
79. #16840161C22semidirect
80. #16840159C22semidirect
83. #16840133C22semidirect
86. #16840118C22semidirect
87. #16840116C22semidirect
88. #16840111C22semidirect
89. #16840107C22semidirect
90. #16840104C22semidirect
91. #16840101C22semidirect
92. #16840101C22semidirect
96. #16840088C22semidirect
100. #16840072C22semidirect
101. #16840072C22semidirect
102. #16840070C22semidirect
104. #16840064C22semidirect
105. #16840063C22semidirect
106. #16840056C22semidirect
107. #16840055C22semidirect
110. #16840001C22semidirect
111. #16840000C22semidirect
116. #16839994C22semidirect
120. #16839989C22semidirect
123. #16839987C22semidirect
128. #16839971C22semidirect
129. #16839970C22semidirect
132. #16839926C22semidirect
134. #16839921C22semidirect
142. #16839886C22semidirect
143. #16839886C22semidirect
144. C4×Dic244C22semidirect
145. #16839856C22semidirect
146. C4×#11758202C22semidirect
147. C4×#11758202C22semidirect
148. C4×#11758202C22semidirect
151. #16839853C22semidirect
153. C4×#11758190C22semidirect
156. C4×#11758201C22semidirect
157. C4×#11758201C22semidirect
161. C4×#11758200C22semidirect
172. #16839825C22semidirect
173. #16839825C22semidirect
175. #16839813C22semidirect
176. #16839799C22semidirect
177. #16839798C22semidirect
180. #16839756C22semidirect
182. #16839755C22semidirect
185. C2×C4×#92418C22semidirect
187. C4×C8×D61C22semidirect
188. C61×#529C22semidirect
190. C61×#485C22semidirect
191. C61×#482C22semidirect
192. C61×#479C22semidirect
194. C61×#464C22semidirect
198. C4×Q16×C61C22semidirect
200. C4×SD16×C61C22semidirect
202. C61×#431C22semidirect
598. #11758200#41semidirect
779. C4×D61#135semidirect
870. #3102D61semidirect
923. #529C2×D61semidirect
949. #485C2×D61semidirect
955. #482C2×D61semidirect
961. #479C2×D61semidirect
985. #464C2×D61semidirect
1013. C4×Q16C2×D61semidirect
1029. C4×SD16C2×D61semidirect
1044. #431C2×D61semidirect
1057. C61#61428semidirect

Maximal subgroups

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

subgroupindex
#214594102
#214593812
#214588102
#214586892
#214585072
#214584742
#214582252
#214581952
#214581912
#214577672
#214577292
#214577132
#214577092
#214576662
#214576622
#214575472
#214575322
#214575242
#214563922
#214563832
#214563752
#214558562
#214558412
#214558392
#214558172
#214547752
C4×#145197972
C4×#145197962
C4×SD16×D612
C61×#31022
#6142861