Finite Group Databasebeta

← #30564648

Subgroups — #30564648

Order 15616.

1820 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459866C211yesmaximal, characteristic, complemented
2#21459830C211yesmaximal, characteristic, complemented
3#21458802C211yesmaximal, characteristic, complemented
4#21458678C211yesmaximal, characteristic, complemented
5#21458554C211yesmaximal, characteristic, complemented
6#21458540C211yesmaximal, characteristic, complemented
7#21458437C211yesmaximal, characteristic, complemented
8#21458432C211yesmaximal, characteristic, complemented
9#21458412C211yesmaximal, characteristic, complemented
10#21457934C211yesmaximal, characteristic, complemented
11#21457927C211yesmaximal, characteristic, complemented
12#21457862C211yesmaximal, characteristic, complemented
13#21457853C211yesmaximal, characteristic, complemented
14#21457745C211yesmaximal, characteristic, complemented
15#21457677C211yesmaximal, characteristic, complemented
16#21457458C211yesmaximal, characteristic, complemented
17#21457453C211yesmaximal, characteristic, complemented
18#21457445C211yesmaximal, characteristic, complemented
19#21456561C211yesmaximal, characteristic, complemented
20#21456432C211yesmaximal, characteristic, complemented
21#21456430C211yesmaximal, characteristic, complemented
22#21456098C211yesmaximal, characteristic, complemented
23#21456094C211yesmaximal, characteristic, complemented
24#21456046C211yesmaximal, characteristic, complemented
25#21455888C211yesmaximal, characteristic, complemented
26#21455825C211yesmaximal, characteristic, complemented
27#21454821C211yesmaximal, characteristic, complemented
28#21454662C211yesmaximal, characteristic, complemented
29#21454657C211yesmaximal, characteristic, complemented
30#21454624C211yesmaximal, characteristic, complemented
31C61×#3121C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic
33C2×#14519808C2211yescharacteristic
34C2×#14519804C2211yescharacteristic
35Q8×Dic122C2211yescharacteristic, complemented
36#16840485—21no—
37#16840485C2211yescharacteristic
38#16840484—21no—
39#16840484C2211yescharacteristic, complemented
40#16840481C2211yescharacteristic
41#16840480—21no—
42#16840480C2211yescharacteristic
43#16840475—21no—
44#16840475C2211yescharacteristic, complemented
45#16840473C2211yescharacteristic
46#16840470C2211yescharacteristic
47#16840448—21no—
48#16840442—21no—
49#16840437—21no—
50#16840427C2211yescharacteristic
51Q8×C22⋊D61C2211yescharacteristic, complemented
52#16840424C2211yescharacteristic
53#16840423C2211yescharacteristic
54#16840420—21no—
55#16840414C2211yescharacteristic
56#16840412C2211yescharacteristic
57#16840409C2211yescharacteristic
58#16840405C2211yescharacteristic
59#16840384—21no—
60#16840384C2211yescharacteristic, complemented
61#16840383—21no—
62#16840383C2211yescharacteristic, complemented
63#16840377C2211yescharacteristic
64#16840358—21no—
65#16840355—21no—
66#16840316—21no—
67#16840316C2211yescharacteristic
68#16840316C2211yescharacteristic
69#16840290—21no—
70#16840290C2211yescharacteristic
71#16840270—21no—
72C22⋊Q8×D61—21no—
73#16840244C2211yescharacteristic
74#16840242C2211yescharacteristic
75#16840238C2211yescharacteristic, complemented
76C4×#11758226C2211yescharacteristic
77C4×D4×D61C2211yescharacteristic
78#16840159C2211yescharacteristic, complemented
79#16840159C2211yescharacteristic, complemented
80#16840158C2211yescharacteristic, complemented
81#16840144C2211yescharacteristic
82#16840143C2211yescharacteristic
83#16840140C2211yescharacteristic, complemented
84#16840124C2211yescharacteristic, complemented
85#16840123C2211yescharacteristic, complemented
86#16840121C2211yescharacteristic
87#16840120C2211yescharacteristic
88#16840111C2211yescharacteristic, complemented
89#16840111C2211yescharacteristic, complemented
90#16840105C2211yescharacteristic
91#16840105C2211yescharacteristic, complemented
92#16840101C2211yescharacteristic
93#16840094C2211yescharacteristic
94#16840093C2211yescharacteristic, complemented
95#16840091C2211yescharacteristic
96#16840091C2211yescharacteristic, complemented
97#16840085C2211yescharacteristic
98#16840082C2211yescharacteristic, complemented
99#16840081C2211yescharacteristic, complemented
100#16840056C2211yescharacteristic, complemented
101#16840053C2211yescharacteristic
102#16840051C2211yescharacteristic
103#16840051C2211yescharacteristic
104#16840050C2211yescharacteristic
105#16840048C2211yescharacteristic, complemented
106#16840045C2211yescharacteristic, complemented
107#16840045C2211yescharacteristic, complemented
108#16840045C2211yescharacteristic, complemented
109#16840041C2211yescharacteristic, complemented
110#16840021C2211yescharacteristic
111#16840019C2211yescharacteristic
112#16840019C2211yescharacteristic
113#16840019C2211yescharacteristic, complemented
114#16840018C2211yescharacteristic, complemented
115#16840017C2211yescharacteristic
116#16840014C2211yescharacteristic
117#16840013C2211yescharacteristic
118#16839993C2211yescharacteristic, complemented
119#16839992C2211yescharacteristic, complemented
120#16839989C2211yescharacteristic
121#16839988C2211yescharacteristic
122#16839986C2211yescharacteristic, complemented
123#16839985C2211yescharacteristic, complemented
124#16839983C2211yescharacteristic
125#16839982C2211yescharacteristic
126#16839980C2211yescharacteristic
127#16839978C2211yescharacteristic
128#16839970C2211yescharacteristic, complemented
129#16839966C2211yescharacteristic
130#16839966C2211yescharacteristic, complemented
131#16839965C2211yescharacteristic
132#16839927C2211yescharacteristic
133#16839926C2211yescharacteristic
134#16839923C2211yescharacteristic
135#16839923C2211yescharacteristic
136#16839919C2211yescharacteristic, complemented
137#16839914C2211yescharacteristic
138#16839911C2211yescharacteristic
139#16839910C2211yescharacteristic
140#16839909C2211yescharacteristic
141#16839899C2211yescharacteristic
142#16839891C2211yescharacteristic, complemented
143#16839886C2211yescharacteristic, complemented
144#16839875C2211yescharacteristic
145#16839872C2211yescharacteristic
146#16839870C2211yescharacteristic, complemented
147#16839869C2211yescharacteristic, complemented
148#16839867C2211yescharacteristic, complemented
149#16839867C2211yescharacteristic, complemented
150#16839867C2211yescharacteristic, complemented
151#16839861C2211yescharacteristic
152#16839860C2211yescharacteristic
153#16839860C2211yescharacteristic
154C4×#11758202C2211yescharacteristic, complemented
155C4×#11758202C2211yescharacteristic, complemented
156#16839854C2211yescharacteristic, complemented
157C4×#11758190C2211yescharacteristic
158C4×#11758190C2211yescharacteristic, complemented
159SD16×Dic61C2211yescharacteristic
160C4×#11758201C2211yescharacteristic
161C4×#11758201C2211yescharacteristic
162C4×#11758201C2211yescharacteristic, complemented
163C4×#11758200C2211yescharacteristic
164#16839847C2211yescharacteristic
165#16839847C2211yescharacteristic
166#16839844C2211yescharacteristic
167#16839842C2211yescharacteristic
168#16839839C2211yescharacteristic
169#16839837C2211yescharacteristic
170#16839837C2211yescharacteristic, complemented
171#16839832C2211yescharacteristic
172#16839830C2211yescharacteristic
173#16839825C2211yescharacteristic, complemented
174#16839824C2211yescharacteristic, complemented
175#16839813C2211yescharacteristic
176#16839805C2211yescharacteristic, complemented
177#16839803C2211yescharacteristic
178#16839803C2211yescharacteristic, complemented
179#16839765C2211yescharacteristic
180#16839762C2211yescharacteristic
181#16839757C2211yescharacteristic
182#16839756C2211yescharacteristic
183C2×#14519701C2211yescharacteristic, complemented
184#103×D61C2211yescharacteristic, complemented
185#16839718C2211yescharacteristic, complemented
186#16839716C2211yescharacteristic, complemented
187#16839714C2211yescharacteristic
188C61×#542C2211yescharacteristic
189C61×#519C2211yescharacteristic, complemented
190C61×#485C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic
192C61×#477C2211yescharacteristic, complemented
193C61×#475C2211yescharacteristic, complemented
194C61×#464C2211yescharacteristic
195C61×#464C2211yescharacteristic
196C61×#451C2211yescharacteristic, complemented
197C61×#448C2211yescharacteristic
198C61×#441C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic
200C4×Q16×C61C2211yescharacteristic, complemented
201C4×SD16×C61C2211yescharacteristic
202C61×#433C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222C2311yescharacteristic
206C2×#11758224—21no—
207C2×Q8×D61—21no—
208C2×Q8×D61C2311yescharacteristic
209C2×D4×D61C2311yescharacteristic
210C22×C4×D61—21no—
211#14519809—24no—
212#14519808—24no—
213#14519804—24no—
214C2×Dic244C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218C2×#11758190C2311yescharacteristic
219C2×#11758190C2311yescharacteristic
220C2×#11758200C2311yescharacteristic
221C2×#11758201C2311yescharacteristic
222C2×#11758201C2311yescharacteristic
223C2×#11758201C2311yescharacteristic
224C2×D488C2311yescharacteristic
225C2×#11758199C2311yescharacteristic
226C2×#11758194C2311yescharacteristic
227C2×#11758189C2311yescharacteristic
228C2×#11758189C2311yescharacteristic
229C2×#11758189C2311yescharacteristic
230C22×#92418C2311yescharacteristic
231C2×C8×D61C2311yescharacteristic
232#14519777—21no—
233#14519777C2311yescharacteristic
234#14519776—21no—
235#14519776—21no—
236#14519776C2311yescharacteristic
237#14519776C2311yescharacteristic
238#14519776C2311yescharacteristic
239#14519776C2311yescharacteristic
240#14519775—21no—
241#14519775C2311yescharacteristic
242#14519775C2311yescharacteristic
243#14519772—21no—
244#14519772—21no—
245#14519772—21no—
246#14519772—21no—
247#14519772D411yescharacteristic
248#14519771—21no—
249#14519771—21no—
250#14519771—21no—
251#14519770—21no—
252#14519770—21no—
253#14519770—21no—
254#14519770—21no—
255#14519770D411yescharacteristic
256#14519768—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767D411yescharacteristic
261#14519766—21no—
262#14519766C2311yescharacteristic
263#14519765—21no—
264#14519765—21no—
265#14519765—21no—
266#14519765—21no—
267#14519765C2311yescharacteristic
268#14519764C2311yescharacteristic
269#14519763—21no—
270#14519763—21no—
271#14519763—21no—
272#14519763—21no—
273#14519763D411yescharacteristic
274#14519762—21no—
275#14519762—21no—
276#14519762D411yescharacteristic
277#14519760—21no—
278#14519759—21no—
279#14519759—21no—
280#14519759—21no—
281#14519759—21no—
282#14519759—21no—
283#14519759D411yescharacteristic
284#14519758—21no—
285#14519757—21no—
286#14519757—21no—
287#14519757C2311yescharacteristic
288#14519757C2311yescharacteristic
289#14519757C2311yescharacteristic
290#14519756—21no—
291#14519756—21no—
292#14519756C2311yescharacteristic
293#14519755—21no—
294#14519755—21no—
295#14519755—21no—
296#14519755—21no—
297#14519755—21no—
298#14519755—21no—
299#14519755—21no—
300#14519755D411yescharacteristic
301#14519754—21no—
302#14519754—21no—
303#14519754—21no—
304#14519753—21no—
305#14519753—21no—
306#14519753—21no—
307#14519753—21no—
308#14519753—21no—
309#14519753C2311yescharacteristic
310#14519753C2311yescharacteristic
311#14519753C2311yescharacteristic
312#14519752—21no—
313#14519752C2311yescharacteristic
314#14519751—21no—
315#14519751C2311yescharacteristic
316#14519750—21no—
317#14519750—21no—
318#14519750—21no—
319#14519750D411yescharacteristic
320#14519748—21no—
321#14519748C2311yescharacteristic
322#14519747—21no—
323#14519745—21no—
324Q8×Dic61C2311yescharacteristic
325Q8×Dic61C2311yescharacteristic
326Q8×Dic61C2311yescharacteristic
327C4×Dic122—21no—
328C4×Dic122—21no—
329C4×Dic122—21no—
330C4×Dic122—21no—
331C4×Dic122—21no—
332C4×Dic122—21no—
333C4×Dic122C2311yescharacteristic
334C4×Dic122C2311yescharacteristic
335C4×Dic122C2311yescharacteristic
336C4×Dic122C2311yescharacteristic
337#14519742—21no—
338#14519742C2311yescharacteristic
339C4×D244—21no—
340C4×D244—21no—
341C4×D244—21no—
342C4×D244C2311yescharacteristic
343C4×D244C2311yescharacteristic
344C4×D244C2311yescharacteristic
345C4×D244C2311yescharacteristic
346D4×Dic61C2311yescharacteristic
347#14519739—21no—
348#14519739—21no—
349#14519739—21no—
350#14519739C2311yescharacteristic
351#14519739C2311yescharacteristic
352#14519739C2311yescharacteristic
353C4×C22⋊D61—21no—
354C4×C22⋊D61—21no—
355C4×C22⋊D61—21no—
356C4×C22⋊D61C2311yescharacteristic
357C4×C22⋊D61C2311yescharacteristic
358#14519737—21no—
359#14519737—21no—
360#14519737—21no—
361#14519737—21no—
362#14519735—21no—
363#14519735—21no—
364#14519735—21no—
365#14519735C2311yescharacteristic
366#14519735C2311yescharacteristic
367#14519734—21no—
368#14519734—21no—
369#14519734—21no—
370#14519734—21no—
371#14519734—21no—
372#14519734—21no—
373#14519734C2311yescharacteristic
374#14519733—21no—
375C2×C4⋊Dic61C2311yescharacteristic
376C4⋊C4×D61—21no—
377C4⋊C4×D61—21no—
378C4⋊C4×D61—21no—
379C4⋊C4×D61C2311yescharacteristic
380C4⋊C4×D61C2311yescharacteristic
381C22⋊C4×D61—21no—
382C22⋊C4×D61—21no—
383C22⋊C4×D61—21no—
384C42×D61—21no—
385C42×D61C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519709C2311yescharacteristic
391#14519709C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
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#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
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#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519688C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C22×Q8×C61C2311yescharacteristic
439C2×Q16×C61C2311yescharacteristic
440C2×Q16×C61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C4⋊Q8×C61C2311yescharacteristic
444#126×C61—21no—
445#124×C61—21no—
446#124×C61C2311yescharacteristic
447#123×C61—21no—
448C22⋊Q8×C61—21no—
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61C2311yescharacteristic
451C4×Q8×C61—21no—
452C4×Q8×C61—21no—
453C4×Q8×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×Q8×C61C2311yescharacteristic
457C4×Q8×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459#117×C61—21no—
460#117×C61—21no—
461#117×C61C2311yescharacteristic
462#117×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#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477C22⋊C8×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479#97×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C23×D61—21no—
482C2×Q8×C61—21no—
483C2×Q8×C61—21no—
484C2×Q8×C61—22no—
485C2×Q8×C61—41no—
486C2×Q8×C61C2411yescharacteristic
487C2×Q8×C61C2411yescharacteristic
488C2×Q8×C61C2411yescharacteristic
489C2×D4×C61—21no—
490C2×D4×C61C2411yescharacteristic
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61C2411yescharacteristic
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61C2×D411yescharacteristic
499C2×C22⋊D61C2×D411yescharacteristic
500C22×Dic61—21no—
501C22×Dic61—21no—
502#11758226—22no—
503#11758226—22no—
504#11758226—41no—
505#11758226—41no—
506Q8×D61—22no—
507Q8×D61—41no—
508Q8×D61—82no—
509#11758224—82no—
510D4×D61—22no—
511D4×D61—41no—
512#11758222—22no—
513#11758222—41no—
514C2×D244—21no—
515C2×D244—21no—
516C2×D244—21no—
517C2×D244C2×D411yescharacteristic
518C2×D244C2411yescharacteristic
519C2×D244C2411yescharacteristic
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—82no—
533C2×C4×D61C2×D411yescharacteristic
534C2×C4×D61C2×D411yescharacteristic
535C2×C4×D61C2411yescharacteristic
536C2×C4×D61C2411yescharacteristic
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122C2×D411yescharacteristic
544C2×Dic122C2411yescharacteristic
545C2×Dic122C2411yescharacteristic
546Q16×C61—22no—
547Q16×C61—41no—
548SD16×C61—22no—
549SD16×C61—41no—
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61C2×D411yescharacteristic
562C4⋊C4×C61C2×D411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61C2×D411yescharacteristic
574C22⋊C4×C61C2×D411yescharacteristic
575C42×C61—21no—
576C42×C61—21no—
577C42×C61—21no—
578C42×C61—21no—
579C42×C61—21no—
580C42×C61—21no—
581C42×C61C2411yescharacteristic
582C42×C61C2411yescharacteristic
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61C2×D411yescharacteristic
589C22⋊Dic61C2×D411yescharacteristic
590#11758202—22no—
591#11758202—22no—
592#11758202—22no—
593#11758201—22no—
594#11758201—41no—
595#11758201#4114yescomplemented
596#11758200—41no—
597#11758199—22no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
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#11758198C2×D411yescharacteristic
619#11758198C2×D411yescharacteristic
620#11758198C2×D411yescharacteristic
621#11758198C2×D411yescharacteristic
622#11758198C2×D411yescharacteristic
623#11758198C2×D411yescharacteristic
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61—21no—
630C4⋊Dic61—21no—
631C4⋊Dic61—21no—
632C4⋊Dic61C2×D411yescharacteristic
633C4⋊Dic61C2×D411yescharacteristic
634C4⋊Dic61C2411yescharacteristic
635C4⋊Dic61C2411yescharacteristic
636C4⋊Dic61C2411yescharacteristic
637C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
656#11758196C2×D411yescharacteristic
657#11758196C2×D411yescharacteristic
658#11758196C2×D411yescharacteristic
659#11758196C2×D411yescharacteristic
660#11758196C2×D411yescharacteristic
661#11758196C2×D411yescharacteristic
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61—21no—
670C4×Dic61—21no—
671C4×Dic61C2×D411yescharacteristic
672C4×Dic61C2×D411yescharacteristic
673C4×Dic61C2411yescharacteristic
674C4×Dic61C2411yescharacteristic
675#11758194—22no—
676C2×#92418—41no—
677C2×#92418C2411yescharacteristic
678C2×#92418C2411yescharacteristic
679C2×#92418C2411yescharacteristic
680C2×#92418C2411yescharacteristic
681Dic244—41no—
682D488—22no—
683#11758190—22no—
684#11758190—41no—
685#11758189—22no—
686#11758189—22no—
687#11758189—41no—
688C8×D61—41no—
689C23×C61—21no—
690C23×C61C22×D411yescharacteristic
691C22×D61—21no—
692C22×D61—21no—
693C22×D61—42no—
694C22×D61—42no—
695C22×D61—81no—
696C22×D61C22×D411yescharacteristic
697C22×D61C22×D411yescharacteristic
698Q8×C61—21no—
699Q8×C61—21no—
700Q8×C61—21no—
701Q8×C61—21no—
702Q8×C61—21no—
703Q8×C61—42no—
704Q8×C61—81no—
705Q8×C61C2×#4112yes—
706D4×C61—21no—
707D4×C61—21no—
708D4×C61—81no—
709C2×C4×C61—21no—
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—42no—
719C2×C4×C61—81no—
720C2×C4×C61C22×D411yescharacteristic
721C2×C4×C61C22×D411yescharacteristic
722C2×C4×C61C22×D411yescharacteristic
723C2×C4×C61C22×D411yescharacteristic
724C2×C4×C61C22×D411yescharacteristic
725C2×C4×C61C2511yescharacteristic
726C22⋊D61—22no—
727C22⋊D61—41no—
728C22⋊D61—42no—
729C22⋊D61—42no—
730C22⋊D61—81no—
731C22⋊D61—81no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—42no—
739C2×Dic61—81no—
740C2×Dic61C22×D411yescharacteristic
741C2×Dic61C22×D411yescharacteristic
742C2×Dic61C22×D411yescharacteristic
743C2×Dic61C22×D411yescharacteristic
744C2×Dic61C22×D411yescharacteristic
745C2×Dic61C22×D411yescharacteristic
746D244—21no—
747D244—21no—
748D244—21no—
749D244—41no—
750D244—42no—
751D244—42no—
752D244—81no—
753D244C2×#4112yes—
754C4×D61—21no—
755C4×D61—21no—
756C4×D61—21no—
757C4×D61—21no—
758C4×D61—22no—
759C4×D61—41no—
760C4×D61—42no—
761C4×D61—42no—
762C4×D61—42no—
763C4×D61—42no—
764C4×D61—42no—
765C4×D61—42no—
766C4×D61—81no—
767C4×D61—81no—
768C4×D61—81no—
769C4×D61—81no—
770C4×D61—81no—
771C4×D61—81no—
772Dic122—22no—
773Dic122—21no—
774Dic122—21no—
775Dic122—21no—
776Dic122—21no—
777Dic122—42no—
778Dic122—42no—
779Dic122—81no—
780Dic122—81no—
781Dic122—81no—
782Dic122—81no—
783C8×C61—21no—
784C8×C61—21no—
785C8×C61—21no—
786C8×C61—21no—
787#92418—21no—
788#92418—21no—
789#92418—21no—
790#92418C2×#4112yes—
791#61557—611nomaximal, Sylow
792C22×C61—21no—
793C22×C61—21no—
794C22×C61—21no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61C23×D411yescharacteristic
799C2×D61—21no—
800C2×D61—21no—
801C2×D61—21no—
802C2×D61—21no—
803C2×D61—22no—
804C2×D61—21no—
805C2×D61—21no—
806C2×D61—41no—
807C2×D61—41no—
808C2×D61—41no—
809C2×D61—41no—
810C2×D61—41no—
811C2×D61—84no—
812C4×C61—21no—
813C4×C61—21no—
814C4×C61—22no—
815C4×C61—21no—
816C4×C61—21no—
817C4×C61—21no—
818C4×C61—41no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61—41no—
823C4×C61—41no—
824C4×C61C22×#4111yescharacteristic
825C4×C61#58511yescharacteristic
826Dic61—21no—
827Dic61—21no—
828Dic61—21no—
829Dic61—21no—
830Dic61—21no—
831Dic61—41no—
832Dic61—41no—
833Dic61—41no—
834Dic61—41no—
835Dic61—41no—
836Dic61—41no—
837Dic61#57712yes—
838#3520—611no—
839#3518—611no—
840#3393—611no—
841Q8×SD16—611no—
842#3369—611no—
843#3367—611no—
844#3356—611no—
845#3356—611no—
846#3354—611no—
847#3316—611no—
848#3316—611no—
849#3311—611no—
850#3311—611no—
851#3303—611no—
852#3298—611no—
853#3276—611no—
854#3275—611no—
855#3275—611no—
856#3185—611no—
857#3173—611no—
858#3173—611no—
859#3125—611no—
860#3125—611no—
861#3121—611no—
862#3121D6111yescharacteristic, complemented
863#3107—611no—
864#3101—611no—
865#2969—611no—
866#2947—611no—
867#2947—611no—
868C4×AGL(1,ℤ/8)—611no—
869C2×C61—41no—
870C2×C61—81no—
871C2×C61D4×#4111yescharacteristic
872C2×C61C2×#57711yescharacteristic
873C2×C61#358611yescharacteristic
874D61—41no—
875D61—41no—
876D61—42no—
877D61—81no—
878C2×#137—611no—
879C2×#137—611no—
880C2×AGL(1,ℤ/8)—611no—
881Q82—611no—
882#556—611no—
883#556—611no—
884#556—611no—
885#556—611no—
886#556—1221no—
887#556—1221no—
888#556—1221no—
889#555—611no—
890#555—1221no—
891#554—611no—
892#554—611no—
893#552—1221no—
894#551—1221no—
895#551—1221no—
896D4×Q8—611no—
897D4×Q8—611no—
898#548—611no—
899#548—611no—
900#548—1221no—
901#547—611no—
902#547—611no—
903#546—611no—
904#546—611no—
905#542—611no—
906#542—611no—
907#542—611no—
908#542—1221no—
909#542—1221no—
910#542C2×D6111yescharacteristic
911#539—1221no—
912#539—1221no—
913#533—611no—
914#533—611no—
915#533—1221no—
916#529—611no—
917#529—1221no—
918#525—1221no—
919C2×C22⋊Q8—1221no—
920#520—611no—
921#520—611no—
922#519—611no—
923#519C2×D6111yescharacteristic, complemented
924C4×#41—611no—
925C2×C4×D4—611no—
926#498—611no—
927#498—611no—
928#498—611no—
929#495—611no—
930#495—611no—
931#494—611no—
932#489—611no—
933#489—611no—
934#489—611no—
935#489—611no—
936#487—611no—
937#487—611no—
938#485—611no—
939#485—611no—
940#485—611no—
941#485C2×D6111yescharacteristic, complemented
942#483—611no—
943#483—611no—
944#483—611no—
945#483—611no—
946#482—611no—
947#482C2×D6111yescharacteristic
948#481—611no—
949#481—611no—
950#477—611no—
951#477C2×D6111yescharacteristic, complemented
952#476—611no—
953#476—611no—
954#476—611no—
955#476—611no—
956#475—611no—
957#475—611no—
958#475—611no—
959#475—611no—
960#475C2×D6111yescharacteristic, complemented
961#474—611no—
962#470—611no—
963#470—611no—
964#470—611no—
965#470—611no—
966#470—611no—
967#470—611no—
968#469—611no—
969#469—611no—
970#465—611no—
971#465—611no—
972#465—611no—
973#465—611no—
974#464—611no—
975#464—611no—
976#464—611no—
977#464—611no—
978#464C2×D6111yescharacteristic
979#464C2×D6111yescharacteristic
980#463—611no—
981#463—611no—
982#462—611no—
983#461—611no—
984#461—611no—
985#461—611no—
986#452—611no—
987#452—611no—
988#452—611no—
989#452—611no—
990#451—611no—
991#451C2×D6111yescharacteristic, complemented
992#450—611no—
993#450—611no—
994#449—611no—
995#449—611no—
996#448—611no—
997#448C2×D6111yescharacteristic
998#446—611no—
999C8×Q8—611no—
1000#442—611no—
1001#442—611no—
1002#441—611no—
1003#441—611no—
1004#441—611no—
1005#441—611no—
1006#441—611no—
1007#441C2×D6111yescharacteristic, complemented
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011#440C2×D6111yescharacteristic
1012C4×Q16—611no—
1013C4×Q16—611no—
1014C4×Q16—611no—
1015C4×Q16C2×D6111yescharacteristic, complemented
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×SD16C2×D6111yescharacteristic
1026C4×D8—611no—
1027C4×D8—611no—
1028#436—611no—
1029#436—611no—
1030#436—611no—
1031#435—611no—
1032#435—611no—
1033C8×D4—611no—
1034#433—611no—
1035#433C2×D6111yescharacteristic, complemented
1036#431—611no—
1037#428—611no—
1038#428—611no—
1039#428—611no—
1040#418—611no—
1041#417—611no—
1042#416—611no—
1043#416—611no—
1044C2×#103—611no—
1045C2×#103—611no—
1046#405—611no—
1047#405—611no—
1048C4×M16—611no—
1049C61#6155711yescharacteristic, complemented, Sylow
1050C2×#41—611no—
1051C2×#41—611no—
1052C2×#41—611no—
1053C2×#41—1221no—
1054C22×Q8—611no—
1055C22×Q8—1221no—
1056C22×Q8C22×D6111yescharacteristic
1057C22×D4—611no—
1058C23×C4—1221no—
1059#137—1224no—
1060#137—1224no—
1061AGL(1,ℤ/8)—1224no—
1062C2×Q16—611no—
1063C2×Q16—611no—
1064C2×Q16—611no—
1065C2×Q16—611no—
1066C2×Q16C22×D6111yescharacteristic
1067C2×Q16C22×D6111yescharacteristic
1068C2×SD16—611no—
1069C2×SD16—611no—
1070C2×SD16—611no—
1071C2×SD16—611no—
1072C2×SD16—611no—
1073C2×SD16—611no—
1074C2×SD16C22×D6111yescharacteristic
1075C2×SD16C22×D6111yescharacteristic
1076C2×D8—611no—
1077C2×D8—611no—
1078C2×M16—611no—
1079C2×M16—611no—
1080C2×M16—611no—
1081C2×M16—611no—
1082C22×C8—611no—
1083C22×C8—611no—
1084C4⋊Q8—611no—
1085C4⋊Q8—611no—
1086C4⋊Q8—611no—
1087C4⋊Q8—611no—
1088C4⋊Q8—611no—
1089C4⋊Q8—611no—
1090C4⋊Q8—611no—
1091C4⋊Q8—1221no—
1092C4⋊Q8—1221no—
1093C4⋊Q8—1221no—
1094C4⋊Q8—1221no—
1095C4⋊Q8C22×D6111yescharacteristic
1096#126—21no—
1097#126—611no—
1098#126—611no—
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—1221no—
1112#125—1221no—
1113#125—1221no—
1114#125—1221no—
1115#124—21no—
1116#124—611no—
1117#124—611no—
1118#124—611no—
1119#124—611no—
1120#124—1221no—
1121#124—1221no—
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—611no—
1132#123—611no—
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—
1142C22⋊Q8—21no—
1143C22⋊Q8—611no—
1144C22⋊Q8—611no—
1145C22⋊Q8—611no—
1146C22⋊Q8—611no—
1147C22⋊Q8—611no—
1148C22⋊Q8—611no—
1149C22⋊Q8—611no—
1150C22⋊Q8—611no—
1151C22⋊Q8—1221no—
1152C22⋊Q8—1221no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8—1221no—
1160C22⋊Q8—1221no—
1161C22⋊Q8—1221no—
1162C22⋊Q8—1221no—
1163C22⋊Q8—1221no—
1164C22⋊Q8—1221no—
1165C22⋊Q8—1221no—
1166C22⋊Q8—1221no—
1167C22⋊Q8—1221no—
1168C22⋊Q8—1221no—
1169C22⋊Q8—1221no—
1170C22⋊Q8C22×D6111yescharacteristic
1171#121—611no—
1172#121—611no—
1173#121—611no—
1174#121—611no—
1175#121—1221no—
1176#121—1221no—
1177#121—1221no—
1178#121—1221no—
1179#121—1221no—
1180#121—1221no—
1181#121C22×D6111yescharacteristic
1182#120—1221no—
1183#120—1221no—
1184C4×Q8—21no—
1185C4×Q8—21no—
1186C4×Q8—611no—
1187C4×Q8—611no—
1188C4×Q8—611no—
1189C4×Q8—611no—
1190C4×Q8—611no—
1191C4×Q8—611no—
1192C4×Q8—611no—
1193C4×Q8—611no—
1194C4×Q8—1221no—
1195C4×Q8—1221no—
1196C4×Q8—1221no—
1197C4×Q8—1221no—
1198C4×Q8—1221no—
1199C4×Q8—1221no—
1200C4×Q8—1221no—
1201C4×Q8C22×D6111yescharacteristic
1202C4×Q8C22×D6111yescharacteristic
1203C4×Q8C22×D6111yescharacteristic
1204C4×Q8C22×D6111yescharacteristic
1205C4×Q8C22×D6111yescharacteristic
1206C4×D4—611no—
1207C4×D4—611no—
1208C4×D4—611no—
1209C4×D4—611no—
1210C4×D4—611no—
1211C4×D4—611no—
1212C4×D4—611no—
1213C4×D4—611no—
1214C4×D4—611no—
1215C4×D4—611no—
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×D4—1221no—
1228C4×D4—1221no—
1229C4×D4C22×D6111yescharacteristic
1230#117—21no—
1231#117—21no—
1232#117—611no—
1233#117—611no—
1234#117—611no—
1235#117—1221no—
1236#117—1221no—
1237#117—1221no—
1238#117—1221no—
1239#117—1221no—
1240#117—1221no—
1241#117—1221no—
1242#117—1221no—
1243#117—1221no—
1244#117—1221no—
1245#117C22×D6111yescharacteristic
1246#117C22×D6111yescharacteristic
1247C2×C4⋊C4—611no—
1248C2×C4⋊C4—611no—
1249C2×C4⋊C4—611no—
1250C2×C4⋊C4—1221no—
1251C2×C4⋊C4—1221no—
1252C2×C4⋊C4—1221no—
1253C2×C22⋊C4—1221no—
1254C2×C22⋊C4—1221no—
1255C2×C22⋊C4—1221no—
1256C2×C42—611no—
1257C2×C42—1221no—
1258#107—611no—
1259#107—611no—
1260#107C22×D6111yescharacteristic
1261#107C22×D6111yescharacteristic
1262#106—611no—
1263#106—611no—
1264#106—611no—
1265#106—611no—
1266#106—611no—
1267#106—611no—
1268#106—611no—
1269#106—611no—
1270#106—611no—
1271#106—611no—
1272#106C22×D6111yescharacteristic
1273#106C22×D6111yescharacteristic
1274C4⋊C8—611no—
1275C4⋊C8—611no—
1276C4⋊C8—611no—
1277C4⋊C8—611no—
1278C4⋊C8C22×D6111yescharacteristic
1279C4⋊C8C22×D6111yescharacteristic
1280#103—611no—
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103—611no—
1286#103—611no—
1287#103—611no—
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103C22×D6111yescharacteristic
1295#103C22×D6111yescharacteristic
1296#103C22×D6111yescharacteristic
1297#103C22×D6111yescharacteristic
1298#103C22×D6111yescharacteristic
1299#103C22×D6111yescharacteristic
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307#102—611no—
1308#102—611no—
1309#102—611no—
1310#102C22×D6111yescharacteristic
1311#102C22×D6111yescharacteristic
1312C22⋊C8—611no—
1313C22⋊C8—611no—
1314C22⋊C8—611no—
1315C22⋊C8—611no—
1316C22⋊C8C22×D6111yescharacteristic
1317C22⋊C8C22×D6111yescharacteristic
1318#97—611no—
1319#97—611no—
1320#97—611no—
1321#97C22×D6111yescharacteristic
1322C4×C8—611no—
1323C4×C8—611no—
1324C4×C8—611no—
1325C4×C8—611no—
1326C4×C8—611no—
1327C4×C8C22×D6111yescharacteristic
1328C24—1221no—
1329#41—1222no—
1330#41—1222no—
1331#41—1222no—
1332#41—4882no—
1333#41—2441no—
1334#41—2441no—
1335#41—2441no—
1336C2×Q8—21no—
1337C2×Q8—21no—
1338C2×Q8—22no—
1339C2×Q8—41no—
1340C2×Q8—611no—
1341C2×Q8—611no—
1342C2×Q8—611no—
1343C2×Q8—1221no—
1344C2×Q8—1221no—
1345C2×Q8—1221no—
1346C2×Q8—1221no—
1347C2×Q8—1221no—
1348C2×Q8—1221no—
1349C2×Q8—1222no—
1350C2×Q8—4882no—
1351C2×Q8—2441no—
1352C2×Q8C23×D6111yescharacteristic
1353C2×Q8C23×D6111yescharacteristic
1354C2×Q8C23×D6111yescharacteristic
1355C2×D4—21no—
1356C2×D4—611no—
1357C2×D4—611no—
1358C2×D4—611no—
1359C2×D4—611no—
1360C2×D4—611no—
1361C2×D4—1221no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1222no—
1366C2×D4—1221no—
1367C2×D4—1221no—
1368C2×D4—1221no—
1369C2×D4—2441no—
1370C2×D4C23×D6111yescharacteristic
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—611no—
1374C22×C4—611no—
1375C22×C4—611no—
1376C22×C4—611no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—1221no—
1384C22×C4—1221no—
1385C22×C4—1221no—
1386C22×C4—1221no—
1387C22×C4—1221no—
1388C22×C4—1221no—
1389C22×C4—1221no—
1390C22×C4—1221no—
1391C22×C4—4882no—
1392C22×C4C23×D6111yescharacteristic
1393Q16—22no—
1394Q16—41no—
1395Q16—1222no—
1396Q16—1222no—
1397Q16—1222no—
1398Q16—2441no—
1399SD16—22no—
1400SD16—41no—
1401SD16—614no—
1402SD16—1222no—
1403SD16—1222no—
1404SD16—2441no—
1405SD16—2441no—
1406SD16—2441no—
1407D8—1222no—
1408D8—1222no—
1409M16—1222no—
1410M16—1222no—
1411M16—1222no—
1412M16—2441no—
1413C2×C8—611no—
1414C2×C8—611no—
1415C2×C8—611no—
1416C2×C8—611no—
1417C2×C8—2441no—
1418C2×C8—2441no—
1419C2×C8C23×D6111yescharacteristic
1420C2×C8C23×D6111yescharacteristic
1421C2×C8C23×D6111yescharacteristic
1422C2×C8C23×D6111yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—611no—
1431C4⋊C4—611no—
1432C4⋊C4—611no—
1433C4⋊C4—611no—
1434C4⋊C4—611no—
1435C4⋊C4—611no—
1436C4⋊C4—611no—
1437C4⋊C4—611no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—611no—
1441C4⋊C4—611no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1469C4⋊C4D4×D6111yescharacteristic
1470C4⋊C4C23×D6111yescharacteristic
1471C4⋊C4C23×D6111yescharacteristic
1472C4⋊C4C23×D6111yescharacteristic
1473C4⋊C4C23×D6111yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—611no—
1481C22⋊C4—611no—
1482C22⋊C4—611no—
1483C22⋊C4—611no—
1484C22⋊C4—611no—
1485C22⋊C4—611no—
1486C22⋊C4—611no—
1487C22⋊C4—611no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
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—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⋊C4D4×D6111yescharacteristic
1514C22⋊C4D4×D6111yescharacteristic
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—611no—
1522C42—611no—
1523C42—611no—
1524C42—611no—
1525C42—1221no—
1526C42—1221no—
1527C42—1221no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42—1221no—
1533C42—1221no—
1534C42C23×D6111yescharacteristic
1535C42C23×D6111yescharacteristic
1536C23—21no—
1537C23—611no—
1538C23—611no—
1539C23—1221no—
1540C23—1221no—
1541C23—4881no—
1542C23—2442no—
1543C23—2442no—
1544C23C2×D4×D6111yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—42no—
1551Q8—81no—
1552Q8—1222no—
1553Q8—1221no—
1554Q8—1221no—
1555Q8—1221no—
1556Q8—1221no—
1557Q8—4881no—
1558Q8—4881no—
1559Q8—4881no—
1560Q8—4881no—
1561Q8—2442no—
1562Q8—2442no—
1563Q8#41×D6112yes—
1564D4—21no—
1565D4—21no—
1566D4—81no—
1567D4—612no—
1568D4—1222no—
1569D4—1221no—
1570D4—1221no—
1571D4—1221no—
1572D4—4881no—
1573D4—4881no—
1574D4—4881no—
1575D4—2441no—
1576D4—2442no—
1577D4—2442no—
1578D4—2441no—
1579D4—2442no—
1580D4—2442no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—42no—
1591C2×C4—81no—
1592C2×C4—611no—
1593C2×C4—611no—
1594C2×C4—611no—
1595C2×C4—611no—
1596C2×C4—611no—
1597C2×C4—611no—
1598C2×C4—1222no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—1221no—
1609C2×C4—4881no—
1610C2×C4—4881no—
1611C2×C4—4881no—
1612C2×C4—4881no—
1613C2×C4—4881no—
1614C2×C4—4881no—
1615C2×C4—4881no—
1616C2×C4—2441no—
1617C2×C4—2442no—
1618C2×C4—2442no—
1619C2×C4—2442no—
1620C2×C4—2442no—
1621C2×C4—2442no—
1622C2×C4—2442no—
1623C2×C4—2442no—
1624C2×C4C2×D4×D6111yescharacteristic
1625C2×C4C2×D4×D6111yescharacteristic
1626C2×C4C2×D4×D6111yescharacteristic
1627C2×C4C2×D4×D6111yescharacteristic
1628C2×C4C2×D4×D6111yescharacteristic
1629C2×C4C24×D6111yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—612no—
1635C8—1221no—
1636C8—1221no—
1637C8—1221no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—1221no—
1645C22—1221no—
1646C22—1221no—
1647C22—1221no—
1648C22—1222no—
1649C22—1221no—
1650C22—1221no—
1651C22—4884no—
1652C22—2441no—
1653C22—2441no—
1654C22—2441no—
1655C22—2441no—
1656C22—2441no—
1657C22C22×D4×D6111yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—22no—
1662C4—21no—
1663C4—21no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—612no—
1671C4—1221no—
1672C4—1221no—
1673C4—1221no—
1674C4—1221no—
1675C4—1221no—
1676C4—2441no—
1677C4—2441no—
1678C4—2441no—
1679C4—2441no—
1680C4—2441no—
1681C4—2441no—
1682C4C2×#41×D6111yescharacteristic
1683C4#1684059811yescharacteristic
1684C2—41no—
1685C2—81no—
1686C2—4881no—
1687C2—2441no—
1688C2—2441no—
1689C2—2442no—
1690C2#2145930211yescharacteristic
1691C2#577×D6111yescharacteristic
1692C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3121C2
socleC22×C61C23×D4
hypercenter#3121D61
hypocenterC61#61557
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3121

Complements

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

NH ≅ G/Ntype
1. #21459866C2semidirect
2. #21459830C2semidirect
3. #21458802C2semidirect
4. #21458678C2semidirect
5. #21458554C2semidirect
6. #21458540C2semidirect
7. #21458437C2semidirect
8. #21458432C2semidirect
9. #21458412C2semidirect
10. #21457934C2semidirect
11. #21457927C2semidirect
12. #21457862C2semidirect
13. #21457853C2semidirect
14. #21457745C2semidirect
15. #21457677C2semidirect
16. #21457458C2semidirect
17. #21457453C2semidirect
18. #21457445C2semidirect
19. #21456561C2semidirect
20. #21456432C2semidirect
21. #21456430C2semidirect
22. #21456098C2semidirect
23. #21456094C2semidirect
24. #21456046C2semidirect
25. #21455888C2semidirect
26. #21455825C2semidirect
27. #21454821C2semidirect
28. #21454662C2semidirect
29. #21454657C2semidirect
30. #21454624C2semidirect
31. C61×#3121C2semidirect
35. Q8×Dic122C22semidirect
39. #16840484C22semidirect
44. #16840475C22semidirect
51. Q8×C22⋊D61C22semidirect
60. #16840384C22semidirect
62. #16840383C22semidirect
75. #16840238C22semidirect
78. #16840159C22semidirect
79. #16840159C22semidirect
80. #16840158C22semidirect
83. #16840140C22semidirect
84. #16840124C22semidirect
85. #16840123C22semidirect
88. #16840111C22semidirect
89. #16840111C22semidirect
91. #16840105C22semidirect
94. #16840093C22semidirect
96. #16840091C22semidirect
98. #16840082C22semidirect
99. #16840081C22semidirect
100. #16840056C22semidirect
105. #16840048C22semidirect
106. #16840045C22semidirect
107. #16840045C22semidirect
108. #16840045C22semidirect
109. #16840041C22semidirect
113. #16840019C22semidirect
114. #16840018C22semidirect
118. #16839993C22semidirect
119. #16839992C22semidirect
122. #16839986C22semidirect
123. #16839985C22semidirect
128. #16839970C22semidirect
130. #16839966C22semidirect
136. #16839919C22semidirect
142. #16839891C22semidirect
143. #16839886C22semidirect
146. #16839870C22semidirect
147. #16839869C22semidirect
148. #16839867C22semidirect
149. #16839867C22semidirect
150. #16839867C22semidirect
154. C4×#11758202C22semidirect
155. C4×#11758202C22semidirect
156. #16839854C22semidirect
158. C4×#11758190C22semidirect
162. C4×#11758201C22semidirect
170. #16839837C22semidirect
173. #16839825C22semidirect
174. #16839824C22semidirect
176. #16839805C22semidirect
178. #16839803C22semidirect
183. C2×#14519701C22semidirect
184. #103×D61C22semidirect
185. #16839718C22semidirect
186. #16839716C22semidirect
189. C61×#519C22semidirect
190. C61×#485C22semidirect
192. C61×#477C22semidirect
193. C61×#475C22semidirect
196. C61×#451C22semidirect
198. C61×#441C22semidirect
200. C4×Q16×C61C22semidirect
202. C61×#433C22semidirect
595. #11758201#41semidirect
862. #3121D61semidirect
923. #519C2×D61semidirect
941. #485C2×D61semidirect
951. #477C2×D61semidirect
960. #475C2×D61semidirect
991. #451C2×D61semidirect
1007. #441C2×D61semidirect
1015. C4×Q16C2×D61semidirect
1035. #433C2×D61semidirect
1049. C61#61557semidirect

Maximal subgroups

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

subgroupindex
#214598662
#214598302
#214588022
#214586782
#214585542
#214585402
#214584372
#214584322
#214584122
#214579342
#214579272
#214578622
#214578532
#214577452
#214576772
#214574582
#214574532
#214574452
#214565612
#214564322
#214564302
#214560982
#214560942
#214560462
#214558882
#214558252
#214548212
#214546622
#214546572
#214546242
C61×#31212
#6155761