Finite Group Databasebeta

← #30573461

Subgroups — #30573461

Order 15616.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460397C211yesmaximal, characteristic, complemented
2#21459835C211yesmaximal, characteristic, complemented
3#21458897C211yesmaximal, characteristic, complemented
4#21458890C211yesmaximal, characteristic, complemented
5#21458636C211yesmaximal, characteristic, complemented
6#21458556C211yesmaximal, characteristic, complemented
7#21457999C211yesmaximal, characteristic, complemented
8#21457888C211yesmaximal, characteristic, complemented
9#21457856C211yesmaximal, characteristic, complemented
10#21457754C211yesmaximal, characteristic, complemented
11#21457734C211yesmaximal, characteristic, complemented
12#21457557C211yesmaximal, characteristic, complemented
13#21457530C211yesmaximal, characteristic, complemented
14#21457402C211yesmaximal, characteristic, complemented
15#21457394C211yesmaximal, characteristic, complemented
16#21457381C211yesmaximal, characteristic, complemented
17#21457325C211yesmaximal, characteristic, complemented
18#21457246C211yesmaximal, characteristic, complemented
19#21457223C211yesmaximal, characteristic, complemented
20#21457158C211yesmaximal, characteristic, complemented
21#21456924C211yesmaximal, characteristic, complemented
22#21456909C211yesmaximal, characteristic, complemented
23#21456831C211yesmaximal, characteristic, complemented
24#21456115C211yesmaximal, characteristic, complemented
25#21456106C211yesmaximal, characteristic, complemented
26#21455924C211yesmaximal, characteristic, complemented
27#21455352C211yesmaximal, characteristic, complemented
28#21455339C211yesmaximal, characteristic, complemented
29#21455271C211yesmaximal, characteristic, complemented
30#21454954C211yesmaximal, characteristic, complemented
31C61×#3319C211yesmaximal, characteristic, complemented
32C2×#14519810C2211yescharacteristic
33C2×#14519807C2211yescharacteristic
34C2×#14519798C2211yescharacteristic, complemented
35C2×#14519796C2211yescharacteristic
36C22×Dic244C2211yescharacteristic, complemented
37C22×#11758200C2211yescharacteristic
38#16840509—21no—
39#16840501—21no—
40#16840495C2211yescharacteristic
41#16840492C2211yescharacteristic, complemented
42#16840482C2211yescharacteristic, complemented
43#16840481—21no—
44#16840481—21no—
45#16840481C2211yescharacteristic
46#16840480—21no—
47#16840480C2211yescharacteristic
48#16840480C2211yescharacteristic, complemented
49#16840476—21no—
50#16840459—21no—
51#16840438—21no—
52#16840431C2211yescharacteristic
53D4×Dic122C2211yescharacteristic
54#16840421C2211yescharacteristic
55#16840418C2211yescharacteristic
56#16840418C2211yescharacteristic
57#16840418C2211yescharacteristic, complemented
58#16840414C2211yescharacteristic
59#16840406C2211yescharacteristic
60#16840379C2211yescharacteristic
61#16840379C2211yescharacteristic, complemented
62#16840376—21no—
63#16840376—21no—
64#16840372C2211yescharacteristic
65#16840365C2211yescharacteristic
66#16840362—21no—
67#16840355—21no—
68#16840350—21no—
69#16840347—21no—
70#16840333C2211yescharacteristic
71#16840329C2211yescharacteristic
72#16840317C2211yescharacteristic, complemented
73#16840315—21no—
74#16840311C2211yescharacteristic
75#16840294C2211yescharacteristic
76#16840294C2211yescharacteristic
77#16840293—21no—
78#16840239C2211yescharacteristic
79#16840239C2211yescharacteristic, complemented
80C4×#11758224C2211yescharacteristic, complemented
81#16840157C2211yescharacteristic
82#16840156C2211yescharacteristic, complemented
83#16840153C2211yescharacteristic, complemented
84#16840150C2211yescharacteristic
85#16840145C2211yescharacteristic
86#16840145C2211yescharacteristic
87#16840124C2211yescharacteristic, complemented
88#16840120C2211yescharacteristic
89#16840120C2211yescharacteristic
90#16840111C2211yescharacteristic, complemented
91#16840107C2211yescharacteristic
92#16840106C2211yescharacteristic, complemented
93#16840103C2211yescharacteristic
94#16840086C2211yescharacteristic, complemented
95#16840085C2211yescharacteristic
96#16840072C2211yescharacteristic, complemented
97#16840068C2211yescharacteristic, complemented
98#16840068C2211yescharacteristic, complemented
99#16840064C2211yescharacteristic, complemented
100#16840056C2211yescharacteristic, complemented
101#16840050C2211yescharacteristic
102#16840045C2211yescharacteristic, complemented
103#16840044C2211yescharacteristic, complemented
104#16840041C2211yescharacteristic, complemented
105#16840020C2211yescharacteristic
106#16840013C2211yescharacteristic, complemented
107#16840006C2211yescharacteristic
108#16840004C2211yescharacteristic, complemented
109#16840004C2211yescharacteristic, complemented
110#16840001C2211yescharacteristic
111#16839991C2211yescharacteristic, complemented
112#16839990C2211yescharacteristic
113#16839990C2211yescharacteristic
114#16839989C2211yescharacteristic
115#16839985C2211yescharacteristic, complemented
116#16839983C2211yescharacteristic
117#16839983C2211yescharacteristic
118#16839983C2211yescharacteristic
119#16839983C2211yescharacteristic
120#16839983C2211yescharacteristic
121#16839983C2211yescharacteristic
122#16839983C2211yescharacteristic
123#16839983C2211yescharacteristic, complemented
124#16839982C2211yescharacteristic, complemented
125#16839981C2211yescharacteristic
126#16839977C2211yescharacteristic, complemented
127#16839976C2211yescharacteristic, complemented
128#16839975C2211yescharacteristic
129#16839975C2211yescharacteristic
130#16839973C2211yescharacteristic, complemented
131#16839971C2211yescharacteristic, complemented
132#16839971C2211yescharacteristic, complemented
133#16839971C2211yescharacteristic, complemented
134#16839971C2211yescharacteristic, complemented
135#16839971C2211yescharacteristic, complemented
136#16839967C2211yescharacteristic
137#16839965C2211yescharacteristic, complemented
138#16839961C2211yescharacteristic
139#16839961C2211yescharacteristic
140#16839961C2211yescharacteristic
141#16839961C2211yescharacteristic
142#16839961C2211yescharacteristic
143#16839955C2211yescharacteristic
144#16839927C2211yescharacteristic, complemented
145#16839927C2211yescharacteristic, complemented
146#16839926C2211yescharacteristic
147#16839925C2211yescharacteristic
148#16839925C2211yescharacteristic
149#16839925C2211yescharacteristic, complemented
150#16839924C2211yescharacteristic
151#16839920C2211yescharacteristic
152#16839920C2211yescharacteristic, complemented
153#16839917C2211yescharacteristic
154#16839913C2211yescharacteristic
155#16839905C2211yescharacteristic
156#16839904C2211yescharacteristic
157#16839903C2211yescharacteristic, complemented
158#16839900C2211yescharacteristic
159#16839900C2211yescharacteristic, complemented
160#16839891C2211yescharacteristic, complemented
161#16839890C2211yescharacteristic, complemented
162#16839870C2211yescharacteristic, complemented
163#16839868C2211yescharacteristic, complemented
164#16839866C2211yescharacteristic, complemented
165#16839862C2211yescharacteristic
166#16839862C2211yescharacteristic, complemented
167#16839861C2211yescharacteristic, complemented
168#16839859C2211yescharacteristic
169#16839856C2211yescharacteristic, complemented
170#16839854C2211yescharacteristic, complemented
171#16839853C2211yescharacteristic
172#16839849C2211yescharacteristic, complemented
173#16839836C2211yescharacteristic, complemented
174#16839834C2211yescharacteristic
175#16839831C2211yescharacteristic
176C8×C22⋊D61C2211yescharacteristic, complemented
177#16839825C2211yescharacteristic
178#16839820C2211yescharacteristic
179#16839820C2211yescharacteristic, complemented
180#16839817C2211yescharacteristic, complemented
181#16839790C2211yescharacteristic
182#16839788C2211yescharacteristic, complemented
183C4⋊C8×D61C2211yescharacteristic, complemented
184#16839770C2211yescharacteristic, complemented
185#16839757C2211yescharacteristic, complemented
186#16839756C2211yescharacteristic
187#16839755C2211yescharacteristic
188C61×#555C2211yescharacteristic
189C61×#546C2211yescharacteristic
190C61×#489C2211yescharacteristic
191C61×#485C2211yescharacteristic
192C61×#482C2211yescharacteristic
193C61×#474C2211yescharacteristic
194C61×#468C2211yescharacteristic
195C61×#466C2211yescharacteristic
196C61×#463C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#447C2211yescharacteristic
199C61×#442C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#418C2211yescharacteristic
202C61×#416C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×#11758224C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C22×Dic122C2311yescharacteristic
208C22×Dic122C2311yescharacteristic
209C22×Dic122C2311yescharacteristic
210#14519810—42no—
211#14519807—42no—
212#14519798—42no—
213#14519796—42no—
214C2×Dic244—42no—
215C2×Dic244C2311yescharacteristic
216C2×Dic244C2311yescharacteristic
217C2×Dic244C2311yescharacteristic
218C2×Dic244C2311yescharacteristic
219C2×Dic244C2311yescharacteristic
220C2×Dic244C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223C2×#11758202C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758200—42no—
228C2×#11758200C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758200C2311yescharacteristic
232C2×#11758200C2311yescharacteristic
233C2×#11758200C2311yescharacteristic
234C2×#11758200C2311yescharacteristic
235C2×#11758200C2311yescharacteristic
236C2×#11758199C2311yescharacteristic
237C2×#11758194C2311yescharacteristic
238C22×#92418C2311yescharacteristic
239C2×C8×D61C2311yescharacteristic
240C2×C8×D61C2311yescharacteristic
241#14519777C2311yescharacteristic
242#14519776—21no—
243#14519776—21no—
244#14519776C2311yescharacteristic
245#14519776C2311yescharacteristic
246#14519775—21no—
247#14519775—21no—
248#14519775C2311yescharacteristic
249#14519775C2311yescharacteristic
250#14519773—21no—
251#14519773C2311yescharacteristic
252#14519773C2311yescharacteristic
253#14519771—21no—
254#14519771—21no—
255#14519770—21no—
256#14519770—21no—
257#14519770—21no—
258#14519770—21no—
259#14519770—21no—
260#14519770—21no—
261#14519770—21no—
262#14519770—21no—
263#14519770—21no—
264#14519770—21no—
265#14519770—21no—
266#14519770D411yescharacteristic
267#14519770D411yescharacteristic
268#14519768—21no—
269#14519768—21no—
270#14519768D411yescharacteristic
271#14519768C2311yescharacteristic
272#14519767—21no—
273#14519765C2311yescharacteristic
274#14519764—21no—
275#14519764—21no—
276#14519764D411yescharacteristic
277#14519764C2311yescharacteristic
278#14519764C2311yescharacteristic
279#14519764C2311yescharacteristic
280#14519764C2311yescharacteristic
281#14519764C2311yescharacteristic
282#14519763—21no—
283#14519763—21no—
284#14519763—21no—
285#14519763—21no—
286#14519763—21no—
287#14519763—21no—
288#14519763—21no—
289#14519762—21no—
290#14519761—21no—
291#14519760—21no—
292#14519759—21no—
293#14519759—21no—
294#14519759—21no—
295#14519759—21no—
296#14519759D411yescharacteristic
297#14519759D411yescharacteristic
298#14519758—21no—
299#14519758—21no—
300#14519758—21no—
301#14519758—21no—
302#14519758—21no—
303#14519757D411yescharacteristic
304#14519757C2311yescharacteristic
305#14519757C2311yescharacteristic
306#14519757C2311yescharacteristic
307#14519756—21no—
308#14519756—21no—
309#14519756—21no—
310#14519756C2311yescharacteristic
311#14519756C2311yescharacteristic
312#14519756C2311yescharacteristic
313#14519755—21no—
314#14519754—21no—
315#14519754—21no—
316#14519754—21no—
317#14519754—21no—
318#14519754—21no—
319#14519754—21no—
320#14519754—21no—
321#14519754—21no—
322#14519753—21no—
323#14519751—21no—
324#14519751C2311yescharacteristic
325#14519750—21no—
326#14519750—21no—
327#14519750—21no—
328#14519749—21no—
329#14519749—21no—
330#14519749—21no—
331#14519749—21no—
332#14519749—21no—
333#14519749—21no—
334#14519748—21no—
335#14519748—21no—
336#14519748—21no—
337#14519748—21no—
338#14519748D411yescharacteristic
339#14519748C2311yescharacteristic
340#14519746—21no—
341#14519746—21no—
342#14519746—21no—
343Q8×Dic61—21no—
344Q8×Dic61C2311yescharacteristic
345C4×Dic122—21no—
346C4×Dic122—21no—
347C4×Dic122—21no—
348C4×Dic122—21no—
349C4×Dic122—21no—
350C4×Dic122—21no—
351C4×Dic122C2311yescharacteristic
352C4×Dic122C2311yescharacteristic
353C4×Dic122C2311yescharacteristic
354#14519742—21no—
355#14519742C2311yescharacteristic
356#14519742C2311yescharacteristic
357#14519742C2311yescharacteristic
358#14519742C2311yescharacteristic
359#14519742C2311yescharacteristic
360#14519742C2311yescharacteristic
361#14519742C2311yescharacteristic
362#14519742C2311yescharacteristic
363D4×Dic61—21no—
364D4×Dic61—21no—
365D4×Dic61—21no—
366D4×Dic61—21no—
367D4×Dic61C2311yescharacteristic
368D4×Dic61C2311yescharacteristic
369#14519739C2311yescharacteristic
370C4×C22⋊D61—21no—
371C4×C22⋊D61—21no—
372C4×C22⋊D61—21no—
373C4×C22⋊D61—21no—
374C4×C22⋊D61C2311yescharacteristic
375C4×C22⋊D61C2311yescharacteristic
376#14519737—21no—
377#14519737—21no—
378#14519737—21no—
379#14519737—21no—
380#14519736—21no—
381#14519736—21no—
382#14519736C2311yescharacteristic
383#14519736C2311yescharacteristic
384#14519735—21no—
385#14519735C2311yescharacteristic
386#14519733—21no—
387#14519733—21no—
388#14519733—21no—
389#14519733—21no—
390#14519733—21no—
391#14519733—21no—
392C4⋊C4×D61—21no—
393C2×C22⋊Dic61—21no—
394C2×C4×Dic61—21no—
395C42×D61C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519688C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C22×D4×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×D8×C61C2311yescharacteristic
445C2×D8×C61C2311yescharacteristic
446C2×M16×C61C2311yescharacteristic
447C22×C8×C61C2311yescharacteristic
448C4⋊Q8×C61C2311yescharacteristic
449#124×C61—21no—
450#124×C61—21no—
451#124×C61C2311yescharacteristic
452#123×C61—21no—
453C22⋊Q8×C61C2311yescharacteristic
454#121×C61—21no—
455#121×C61—21no—
456#121×C61C2311yescharacteristic
457#121×C61C2311yescharacteristic
458#121×C61C2311yescharacteristic
459#120×C61—21no—
460C4×D4×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic
462C4×D4×C61C2311yescharacteristic
463#117×C61—21no—
464#117×C61C2311yescharacteristic
465#117×C61C2311yescharacteristic
466C2×C22⋊C4×C61—21no—
467#107×C61C2311yescharacteristic
468#107×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483#97×C61C2311yescharacteristic
484C24×C61—21no—
485#41×C61—41no—
486#41×C61—41no—
487C2×Q8×C61—21no—
488C2×Q8×C61C2411yescharacteristic
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61—21no—
494C2×D4×C61—41no—
495C2×D4×C61—41no—
496C2×D4×C61C2×D411yescharacteristic
497C2×D4×C61C2411yescharacteristic
498C2×D4×C61C2411yescharacteristic
499C2×D4×C61C2411yescharacteristic
500C22×C4×C61—21no—
501C22×C4×C61—21no—
502C22×C4×C61—21no—
503C22×C4×C61C2411yescharacteristic
504C22×C4×C61C2411yescharacteristic
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61C2×D411yescharacteristic
515C2×C22⋊D61C2×D411yescharacteristic
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61—21no—
523#11758226—41no—
524#11758226—41no—
525#11758224—22no—
526#11758224—41no—
527#11758224—41no—
528#11758224—41no—
529#11758222—41no—
530#11758222—41no—
531C2×D244—21no—
532C2×D244C2411yescharacteristic
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2×D411yescharacteristic
538C2×C4×D61C2411yescharacteristic
539C2×Dic122—22no—
540C2×Dic122—22no—
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122—21no—
545C2×Dic122—21no—
546C2×Dic122—41no—
547C2×Dic122—41no—
548C2×Dic122—41no—
549C2×Dic122—41no—
550C2×Dic122C2×D411yescharacteristic
551C2×Dic122C2411yescharacteristic
552C2×Dic122C2411yescharacteristic
553C2×Dic122C2411yescharacteristic
554C2×Dic122C2411yescharacteristic
555C2×Dic122C2411yescharacteristic
556SD16×C61—41no—
557D8×C61—41no—
558D8×C61—41no—
559M16×C61—41no—
560C2×C8×C61—41no—
561C2×C8×C61C2411yescharacteristic
562C2×C8×C61C2411yescharacteristic
563C2×C8×C61C2411yescharacteristic
564C2×C8×C61C2411yescharacteristic
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61C2×D411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C4⋊C4×C61C2411yescharacteristic
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61C2×D411yescharacteristic
583C22⋊C4×C61C2×D411yescharacteristic
584C42×C61—21no—
585C42×C61—21no—
586C42×C61C2411yescharacteristic
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603C22⋊Dic61C2×D411yescharacteristic
604C22⋊Dic61C2×D411yescharacteristic
605C22⋊Dic61C2×D411yescharacteristic
606C22⋊Dic61C2×D411yescharacteristic
607C22⋊Dic61C2×D411yescharacteristic
608C22⋊Dic61C2×D411yescharacteristic
609#11758202—22no—
610#11758202—41no—
611#11758202—41no—
612#11758200—22no—
613#11758200—22no—
614#11758200—41no—
615#11758200—41no—
616#11758200—41no—
617#11758200—41no—
618#11758200—41no—
619#11758200—41no—
620#11758199—41no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198C2×D411yescharacteristic
630#11758198C2×D411yescharacteristic
631C4⋊Dic61—21no—
632C4⋊Dic61—21no—
633C4⋊Dic61—21no—
634C4⋊Dic61—21no—
635C4⋊Dic61—21no—
636C4⋊Dic61—21no—
637C4⋊Dic61—21no—
638C4⋊Dic61C2×D411yescharacteristic
639C4⋊Dic61C2×D411yescharacteristic
640C4⋊Dic61C2×D411yescharacteristic
641C4⋊Dic61C2×D411yescharacteristic
642C4⋊Dic61C2×D411yescharacteristic
643C4⋊Dic61C2411yescharacteristic
644C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196C2×D411yescharacteristic
666#11758196C2×D411yescharacteristic
667#11758196C2×D411yescharacteristic
668#11758196C2×D411yescharacteristic
669C4×Dic61—21no—
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×Dic61—21no—
681C4×Dic61C2×D411yescharacteristic
682C4×Dic61C2×D411yescharacteristic
683C4×Dic61C2411yescharacteristic
684C4×Dic61C2411yescharacteristic
685C4×Dic61C2411yescharacteristic
686#11758194—41no—
687C2×#92418—41no—
688C2×#92418C2411yescharacteristic
689C2×#92418C2411yescharacteristic
690C2×#92418C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692Dic244—22no—
693Dic244—22no—
694Dic244—41no—
695Dic244—41no—
696Dic244—41no—
697Dic244—41no—
698#11758190—22no—
699#11758190—41no—
700#11758190—41no—
701C8×D61—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61—21no—
705C23×C61—21no—
706C23×C61—81no—
707C23×C61—81no—
708C23×C61—81no—
709C23×C61C22×D411yescharacteristic
710C23×C61C22×D411yescharacteristic
711C22×D61—21no—
712C22×D61C22×D411yescharacteristic
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—81no—
716D4×C61—21no—
717D4×C61—21no—
718D4×C61—21no—
719D4×C61—21no—
720D4×C61—21no—
721D4×C61—21no—
722D4×C61—41no—
723D4×C61—81no—
724D4×C61—81no—
725D4×C61—81no—
726D4×C61—81no—
727D4×C61—81no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—42no—
738C2×C4×C61—81no—
739C2×C4×C61—81no—
740C2×C4×C61C22×D411yescharacteristic
741C2×C4×C61C22×D411yescharacteristic
742C2×C4×C61C22×D411yescharacteristic
743C2×C4×C61C22×D411yescharacteristic
744C2×C4×C61C2511yescharacteristic
745C22⋊D61—41no—
746C22⋊D61—41no—
747C22⋊D61—42no—
748C22⋊D61—81no—
749C22⋊D61—81no—
750C22⋊D61—81no—
751C22⋊D61—81no—
752C22⋊D61—81no—
753C22⋊D61—81no—
754C22⋊D61—81no—
755C22⋊D61—81no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—42no—
764C2×Dic61—42no—
765C2×Dic61—42no—
766C2×Dic61—81no—
767C2×Dic61—81no—
768C2×Dic61—81no—
769C2×Dic61—81no—
770C2×Dic61C22×D411yescharacteristic
771C2×Dic61C22×D411yescharacteristic
772C2×Dic61C22×D411yescharacteristic
773C2×Dic61C22×D411yescharacteristic
774C2×Dic61C22×D411yescharacteristic
775C2×Dic61C22×D411yescharacteristic
776C2×Dic61C22×D411yescharacteristic
777D244—21no—
778D244—21no—
779D244—81no—
780C4×D61—21no—
781C4×D61—21no—
782C4×D61—41no—
783C4×D61—41no—
784C4×D61—81no—
785C4×D61—81no—
786C4×D61—81no—
787Dic122—21no—
788Dic122—21no—
789Dic122—21no—
790Dic122—21no—
791Dic122—21no—
792Dic122—21no—
793Dic122—21no—
794Dic122—21no—
795Dic122—21no—
796Dic122—41no—
797Dic122—42no—
798Dic122—42no—
799Dic122—81no—
800Dic122—81no—
801Dic122—81no—
802Dic122H(5,𝔽2)12yes—
803C8×C61—21no—
804C8×C61—21no—
805C8×C61—21no—
806C8×C61—21no—
807#92418—21no—
808#92418—21no—
809#92418—21no—
810#92418—21no—
811#62013—611nomaximal, Sylow
812C22×C61—21no—
813C22×C61—21no—
814C22×C61—21no—
815C22×C61—21no—
816C22×C61—21no—
817C22×C61—21no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—162no—
828C22×C61C23×D411yescharacteristic
829C2×D61—21no—
830C2×D61—21no—
831C2×D61—21no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—41no—
835C4×C61—21no—
836C4×C61—21no—
837C4×C61—21no—
838C4×C61—21no—
839C4×C61—41no—
840C4×C61—41no—
841C4×C61—41no—
842C4×C61—41no—
843C4×C61—41no—
844C4×C61C2×H(5,𝔽2)11yescharacteristic
845C4×C61#58511yescharacteristic
846Dic61—21no—
847Dic61—21no—
848Dic61—21no—
849Dic61—21no—
850Dic61—21no—
851Dic61—21no—
852Dic61—22no—
853Dic61—21no—
854Dic61—41no—
855Dic61—41no—
856Dic61—41no—
857Dic61—41no—
858Dic61—41no—
859Dic61—41no—
860#3562—611no—
861#3518—611no—
862#3402—611no—
863#3401—611no—
864#3375—611no—
865#3369—611no—
866#3321—611no—
867#3319D6111yescharacteristic, complemented
868#3313—611no—
869#3311—611no—
870#3304—611no—
871#3302—611no—
872#3285—611no—
873#3282—611no—
874#3271—611no—
875#3270—611no—
876#3269—611no—
877#3266—611no—
878#3258—611no—
879#3257—611no—
880#3248—611no—
881#3225—611no—
882#3224—611no—
883#3216—611no—
884#3127—611no—
885#3126—611no—
886#3111—611no—
887#3044—611no—
888#3043—611no—
889#3035—611no—
890#2992—611no—
891C2×C61—41no—
892C2×C61—41no—
893C2×C61—81no—
894C2×C61—81no—
895C2×C61—81no—
896C2×C61#348811yescharacteristic
897C2×C61#358411yescharacteristic
898C2×C61#358611yescharacteristic
899D61—41no—
900D61—81no—
901C2×#137—611no—
902C2×#137—611no—
903C2×#135—611no—
904C2×#135—611no—
905C22×Q16—611no—
906C22×SD16—611no—
907#562—1221no—
908#560—1221no—
909#559—611no—
910Q82—611no—
911#556—611no—
912#556—611no—
913#556—611no—
914#556—611no—
915#556—1221no—
916#556—1221no—
917#556—1221no—
918#555—1221no—
919#555C2×D6111yescharacteristic
920#553—1221no—
921#551—1221no—
922#550—611no—
923D4×Q8—611no—
924#548—611no—
925#548—611no—
926#548—611no—
927#548—611no—
928#547—611no—
929#546—611no—
930#546C2×D6111yescharacteristic
931#542—611no—
932#542—611no—
933#542—1221no—
934#542—1221no—
935#541—611no—
936#540—611no—
937#540—1221no—
938#539—1221no—
939#538—1221no—
940#538—1221no—
941#536—611no—
942#535—611no—
943#533—611no—
944#533—1221no—
945#532—611no—
946#529—611no—
947#529—611no—
948#529—1221no—
949#519—611no—
950#519—611no—
951C4×#41—611no—
952#497—611no—
953#497—611no—
954#497—611no—
955#496—611no—
956#495—611no—
957#495—611no—
958#489—611no—
959#489—611no—
960#489—611no—
961#489C2×D6111yescharacteristic
962#487—611no—
963#486—611no—
964#485—611no—
965#485—611no—
966#485C2×D6111yescharacteristic
967#482—611no—
968#482—611no—
969#482C2×D6111yescharacteristic
970#479—611no—
971#479—611no—
972#479—611no—
973#478—611no—
974#477—611no—
975#476—611no—
976#475—611no—
977#475—611no—
978#474—611no—
979#474C2×D6111yescharacteristic
980#470—611no—
981#469—611no—
982#468—611no—
983#468C2×D6111yescharacteristic
984#467—611no—
985#467—611no—
986#467—611no—
987#466C2×D6111yescharacteristic
988#465—611no—
989#465—611no—
990#465—611no—
991#465—611no—
992#464—611no—
993#464—611no—
994#464—611no—
995#464—611no—
996#464—611no—
997#464—611no—
998#464—611no—
999#464—611no—
1000#464—611no—
1001#464—611no—
1002#464—611no—
1003#463—611no—
1004#463—611no—
1005#463—611no—
1006#463—611no—
1007#463C2×D6111yescharacteristic
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#462—611no—
1012#462—611no—
1013#462—611no—
1014#461—611no—
1015#461—611no—
1016#460—611no—
1017#460—611no—
1018#460—611no—
1019#460—611no—
1020#460—611no—
1021#459—611no—
1022#452—611no—
1023#452—611no—
1024#452—611no—
1025#452—611no—
1026#452—611no—
1027#452—611no—
1028#452—611no—
1029#451—611no—
1030#451—611no—
1031#451—611no—
1032#450—611no—
1033#449—611no—
1034#449—611no—
1035#449C2×D6111yescharacteristic
1036#448—611no—
1037#448—611no—
1038#448—611no—
1039#447C2×D6111yescharacteristic
1040#446—611no—
1041#446—611no—
1042#442C2×D6111yescharacteristic
1043#441—611no—
1044#441—611no—
1045#441—611no—
1046#440—611no—
1047#440—611no—
1048#440—611no—
1049#440—611no—
1050C4×Q16—611no—
1051C4×Q16—611no—
1052C4×SD16—611no—
1053C4×SD16—611no—
1054#435—611no—
1055#435—611no—
1056#435—611no—
1057#435C2×D6111yescharacteristic
1058C8×D4—611no—
1059C8×D4—611no—
1060#433—611no—
1061#433—611no—
1062#432—611no—
1063#424—611no—
1064#424—611no—
1065C2×C4⋊C8—611no—
1066#419—611no—
1067#418C2×D6111yescharacteristic
1068#416—611no—
1069#416—611no—
1070#416—611no—
1071#416C2×D6111yescharacteristic
1072C61#6201311yescharacteristic, complemented, Sylow
1073C2×#41—611no—
1074C2×#41—611no—
1075C2×#41—611no—
1076C2×#41—611no—
1077C2×#41C22×D6111yescharacteristic
1078C22×Q8—611no—
1079C22×Q8—611no—
1080C22×Q8—611no—
1081C22×D4C22×D6111yescharacteristic
1082#137—2442no—
1083#137—2442no—
1084#135—2442no—
1085#135—2442no—
1086C2×Q16—611no—
1087C2×Q16—611no—
1088C2×Q16—611no—
1089C2×Q16—611no—
1090C2×Q16—611no—
1091C2×Q16—611no—
1092C2×Q16—611no—
1093C2×Q16—611no—
1094C2×Q16—611no—
1095C2×Q16—2442no—
1096C2×SD16—611no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16—611no—
1101C2×SD16—611no—
1102C2×SD16—611no—
1103C2×SD16—611no—
1104C2×SD16—611no—
1105C2×SD16—611no—
1106C2×SD16—611no—
1107C2×SD16—2442no—
1108C2×SD16C22×D6111yescharacteristic
1109C2×D8—611no—
1110C2×D8C22×D6111yescharacteristic
1111C2×D8C22×D6111yescharacteristic
1112C2×M16—611no—
1113C2×M16C22×D6111yescharacteristic
1114C22×C8—611no—
1115C22×C8—611no—
1116C22×C8—611no—
1117C22×C8C22×D6111yescharacteristic
1118C4⋊Q8—611no—
1119C4⋊Q8—611no—
1120C4⋊Q8—611no—
1121C4⋊Q8—611no—
1122C4⋊Q8—611no—
1123C4⋊Q8—1221no—
1124C4⋊Q8—1221no—
1125C4⋊Q8—1221no—
1126C4⋊Q8—1221no—
1127C4⋊Q8C22×D6111yescharacteristic
1128#127—611no—
1129#127—611no—
1130#127—1221no—
1131#126—611no—
1132#126—611no—
1133#126—1221no—
1134#126—1221no—
1135#126—1221no—
1136#126—1221no—
1137#126—1221no—
1138#126—1221no—
1139#126—1221no—
1140#126—1221no—
1141#126—1221no—
1142#126—1221no—
1143#126—1221no—
1144#126—1221no—
1145#126—1221no—
1146#125—611no—
1147#125—611no—
1148#125—1221no—
1149#125—1221no—
1150#125—1221no—
1151#124—21no—
1152#124—21no—
1153#124—611no—
1154#124—611no—
1155#124—611no—
1156#124—611no—
1157#124—611no—
1158#124—611no—
1159#124—611no—
1160#124—1221no—
1161#124—1221no—
1162#124—1221no—
1163#124—1221no—
1164#124—1221no—
1165#124—1221no—
1166#124—1221no—
1167#124—1221no—
1168#124—1221no—
1169#124C22×D6111yescharacteristic
1170#123—21no—
1171#123—611no—
1172#123—611no—
1173#123—1221no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178#123—1221no—
1179#123—1221no—
1180#123—1221no—
1181#123—1221no—
1182#123—1221no—
1183#123—1221no—
1184#123—1221no—
1185C22⋊Q8—611no—
1186C22⋊Q8—611no—
1187C22⋊Q8—611no—
1188C22⋊Q8—611no—
1189C22⋊Q8—611no—
1190C22⋊Q8—611no—
1191C22⋊Q8—611no—
1192C22⋊Q8—1221no—
1193C22⋊Q8—1221no—
1194C22⋊Q8—1221no—
1195C22⋊Q8—1221no—
1196C22⋊Q8—1221no—
1197C22⋊Q8—1221no—
1198C22⋊Q8—1221no—
1199C22⋊Q8—1221no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8—1221no—
1204C22⋊Q8—1221no—
1205C22⋊Q8C22×D6111yescharacteristic
1206#121—21no—
1207#121—21no—
1208#121—611no—
1209#121—611no—
1210#121—611no—
1211#121—1221no—
1212#121—1221no—
1213#121—1221no—
1214#121—1221no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121—1221no—
1222#121—1221no—
1223#121—1221no—
1224#121—1221no—
1225#121C22×D6111yescharacteristic
1226#121C22×D6111yescharacteristic
1227#121C22×D6111yescharacteristic
1228#120—21no—
1229#120—1221no—
1230#120—1221no—
1231#120—1221no—
1232C4×Q8—611no—
1233C4×Q8—611no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—611no—
1237C4×Q8—611no—
1238C4×Q8—611no—
1239C4×Q8—611no—
1240C4×Q8—611no—
1241C4×Q8—611no—
1242C4×Q8—611no—
1243C4×Q8—611no—
1244C4×Q8—1221no—
1245C4×Q8—1221no—
1246C4×Q8—1221no—
1247C4×Q8—1221no—
1248C4×Q8—1221no—
1249C4×Q8—1221no—
1250C4×Q8—1221no—
1251C4×Q8—1221no—
1252C4×D4—611no—
1253C4×D4—611no—
1254C4×D4—611no—
1255C4×D4—611no—
1256C4×D4—611no—
1257C4×D4—1221no—
1258C4×D4—1221no—
1259C4×D4—1221no—
1260C4×D4—1221no—
1261C4×D4—1221no—
1262C4×D4—1221no—
1263C4×D4—1221no—
1264C4×D4—1221no—
1265C4×D4—1221no—
1266C4×D4—1221no—
1267C4×D4—1221no—
1268C4×D4—1221no—
1269C4×D4C22×D6111yescharacteristic
1270C4×D4C22×D6111yescharacteristic
1271C4×D4C22×D6111yescharacteristic
1272#117—21no—
1273#117—611no—
1274#117—611no—
1275#117—611no—
1276#117—1221no—
1277#117—1221no—
1278#117—1221no—
1279#117—1221no—
1280#117—1221no—
1281#117—1221no—
1282#117—1221no—
1283#117—1221no—
1284#117—1221no—
1285#117C22×D6111yescharacteristic
1286#117C22×D6111yescharacteristic
1287C2×C4⋊C4—1221no—
1288C2×C22⋊C4—21no—
1289C2×C22⋊C4—1221no—
1290C2×C42—611no—
1291C2×C42—1221no—
1292#107—611no—
1293#107—611no—
1294#107C22×D6111yescharacteristic
1295#107C22×D6111yescharacteristic
1296#106—611no—
1297#106—611no—
1298#106—611no—
1299#106C22×D6111yescharacteristic
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8—611no—
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8—611no—
1307C4⋊C8—611no—
1308C4⋊C8—611no—
1309C4⋊C8C22×D6111yescharacteristic
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103—611no—
1319#103—611no—
1320#103—611no—
1321#103—611no—
1322#103—611no—
1323#103—611no—
1324#103—611no—
1325#103C22×D6111yescharacteristic
1326#103C22×D6111yescharacteristic
1327#103C22×D6111yescharacteristic
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
1332#102—611no—
1333#102—611no—
1334#102—611no—
1335#102C22×D6111yescharacteristic
1336#102C22×D6111yescharacteristic
1337#102C22×D6111yescharacteristic
1338#102C22×D6111yescharacteristic
1339#102C22×D6111yescharacteristic
1340#102C22×D6111yescharacteristic
1341#102C22×D6111yescharacteristic
1342C22⋊C8—611no—
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8—611no—
1346C22⋊C8C22×D6111yescharacteristic
1347C22⋊C8C22×D6111yescharacteristic
1348#97—611no—
1349#97—611no—
1350#97—611no—
1351#97C22×D6111yescharacteristic
1352C4×C8—611no—
1353C4×C8—611no—
1354C24—21no—
1355#41—41no—
1356#41—41no—
1357#41—1222no—
1358#41—2441no—
1359#41—2441no—
1360#41—2441no—
1361#41—2441no—
1362#41—2441no—
1363#41—2441no—
1364#41—2441no—
1365C2×Q8—21no—
1366C2×Q8—611no—
1367C2×Q8—611no—
1368C2×Q8—611no—
1369C2×Q8—611no—
1370C2×Q8—611no—
1371C2×Q8—611no—
1372C2×Q8—1221no—
1373C2×Q8—1221no—
1374C2×Q8—1222no—
1375C2×Q8—1222no—
1376C2×Q8—1221no—
1377C2×Q8—1221no—
1378C2×Q8—1221no—
1379C2×Q8—2441no—
1380C2×Q8—2441no—
1381C2×Q8—2441no—
1382C2×Q8—2441no—
1383C2×Q8C23×D6111yescharacteristic
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—41no—
1390C2×D4—41no—
1391C2×D4—611no—
1392C2×D4—611no—
1393C2×D4—611no—
1394C2×D4—1221no—
1395C2×D4—1221no—
1396C2×D4—1221no—
1397C2×D4—1221no—
1398C2×D4—1221no—
1399C2×D4—1221no—
1400C2×D4—1221no—
1401C2×D4—1221no—
1402C2×D4—1221no—
1403C2×D4—1221no—
1404C2×D4D4×D6111yescharacteristic
1405C2×D4C23×D6111yescharacteristic
1406C2×D4C23×D6111yescharacteristic
1407C2×D4C23×D6111yescharacteristic
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—611no—
1412C22×C4—611no—
1413C22×C4—611no—
1414C22×C4—1221no—
1415C22×C4—1221no—
1416C22×C4—1221no—
1417C22×C4—1221no—
1418C22×C4—1221no—
1419C22×C4—1221no—
1420C22×C4—1221no—
1421C22×C4—1221no—
1422C22×C4—1221no—
1423C22×C4—1221no—
1424C22×C4C23×D6111yescharacteristic
1425C22×C4C23×D6111yescharacteristic
1426Q16—1222no—
1427Q16—1222no—
1428Q16—1222no—
1429Q16—2441no—
1430Q16—2441no—
1431Q16—2441no—
1432Q16—2441no—
1433Q16—2441no—
1434Q16—2441no—
1435SD16—41no—
1436SD16—1222no—
1437SD16—1222no—
1438SD16—1222no—
1439SD16—2441no—
1440SD16—2441no—
1441SD16—2441no—
1442SD16—2441no—
1443SD16—2441no—
1444SD16—2441no—
1445SD16—2441no—
1446SD16—2441no—
1447D8—41no—
1448D8—41no—
1449D8—2441no—
1450M16—41no—
1451M16—2441no—
1452C2×C8—41no—
1453C2×C8—611no—
1454C2×C8—611no—
1455C2×C8—611no—
1456C2×C8—611no—
1457C2×C8—2441no—
1458C2×C8—2441no—
1459C2×C8—2441no—
1460C2×C8C23×D6111yescharacteristic
1461C2×C8C23×D6111yescharacteristic
1462C2×C8C23×D6111yescharacteristic
1463C2×C8C23×D6111yescharacteristic
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—611no—
1467C4⋊C4—611no—
1468C4⋊C4—611no—
1469C4⋊C4—611no—
1470C4⋊C4—611no—
1471C4⋊C4—611no—
1472C4⋊C4—611no—
1473C4⋊C4—611no—
1474C4⋊C4—611no—
1475C4⋊C4—611no—
1476C4⋊C4—611no—
1477C4⋊C4—1221no—
1478C4⋊C4—1221no—
1479C4⋊C4—1221no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4—1221no—
1496C4⋊C4—1221no—
1497C4⋊C4—1221no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4—1221no—
1504C4⋊C4D4×D6111yescharacteristic
1505C4⋊C4C23×D6111yescharacteristic
1506C4⋊C4C23×D6111yescharacteristic
1507C4⋊C4C23×D6111yescharacteristic
1508C4⋊C4C23×D6111yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—611no—
1520C22⋊C4—611no—
1521C22⋊C4—611no—
1522C22⋊C4—611no—
1523C22⋊C4—611no—
1524C22⋊C4—611no—
1525C22⋊C4—611no—
1526C22⋊C4—611no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4D4×D6111yescharacteristic
1552C22⋊C4D4×D6111yescharacteristic
1553C42—21no—
1554C42—21no—
1555C42—611no—
1556C42—611no—
1557C42—611no—
1558C42—611no—
1559C42—611no—
1560C42—1221no—
1561C42—1221no—
1562C42—1221no—
1563C42—1221no—
1564C42—1221no—
1565C42—1221no—
1566C42—1221no—
1567C42—1221no—
1568C42—1221no—
1569C42—1221no—
1570C42—1221no—
1571C42—1221no—
1572C42C23×D6111yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—81no—
1577C23—81no—
1578C23—81no—
1579C23—611no—
1580C23—1221no—
1581C23C2×D4×D6111yescharacteristic
1582C23C2×D4×D6111yescharacteristic
1583Q8—21no—
1584Q8—21no—
1585Q8—81no—
1586Q8—612no—
1587Q8—1221no—
1588Q8—1221no—
1589Q8—1221no—
1590Q8—1221no—
1591Q8—1221no—
1592Q8—1221no—
1593Q8—1221no—
1594Q8—1221no—
1595Q8—1221no—
1596Q8—4881no—
1597Q8—4881no—
1598Q8—4881no—
1599Q8—2441no—
1600Q8—2442no—
1601Q8—2442no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—41no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—1221no—
1615D4—1221no—
1616D4—4881no—
1617D4—4881no—
1618D4—4881no—
1619D4—4881no—
1620D4—4881no—
1621D4—4881no—
1622D4—4881no—
1623D4—4881no—
1624D4—4881no—
1625D4—2441no—
1626D4—2441no—
1627D4—2442no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—42no—
1638C2×C4—81no—
1639C2×C4—81no—
1640C2×C4—611no—
1641C2×C4—611no—
1642C2×C4—611no—
1643C2×C4—611no—
1644C2×C4—611no—
1645C2×C4—611no—
1646C2×C4—611no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
1656C2×C4—4881no—
1657C2×C4—4881no—
1658C2×C4—4881no—
1659C2×C4—4881no—
1660C2×C4—4881no—
1661C2×C4—4881no—
1662C2×C4—4881no—
1663C2×C4—2441no—
1664C2×C4—2441no—
1665C2×C4—2442no—
1666C2×C4—2442no—
1667C2×C4—2442no—
1668C2×C4C2×D4×D6111yescharacteristic
1669C2×C4C2×D4×D6111yescharacteristic
1670C2×C4C2×D4×D6111yescharacteristic
1671C2×C4C2×D4×D6111yescharacteristic
1672C2×C4C24×D6111yescharacteristic
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—1221no—
1678C8—1221no—
1679C8—1221no—
1680C8—1221no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—162no—
1697C22—1221no—
1698C22—1221no—
1699C22—1221no—
1700C22—2441no—
1701C22—2441no—
1702C22—2441no—
1703C22C22×D4×D6111yescharacteristic
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—1221no—
1714C4—1222no—
1715C4—1221no—
1716C4—1221no—
1717C4—1221no—
1718C4—1221no—
1719C4—1221no—
1720C4—1221no—
1721C4—2441no—
1722C4—2441no—
1723C4—2441no—
1724C4—2441no—
1725C4—2441no—
1726C4—2441no—
1727C4H(5,𝔽2)×D6111yescharacteristic
1728C4#1684059811yescharacteristic
1729C2—41no—
1730C2—41no—
1731C2—81no—
1732C2—81no—
1733C2—81no—
1734C2—4881no—
1735C2—2441no—
1736C2#2145948211yescharacteristic
1737C2#2146058711yescharacteristic
1738C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3319C2
socleC22×C61C23×D4
hypercenter#3319D61
hypocenterC61#62013
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #21460397C2semidirect
2. #21459835C2semidirect
3. #21458897C2semidirect
4. #21458890C2semidirect
5. #21458636C2semidirect
6. #21458556C2semidirect
7. #21457999C2semidirect
8. #21457888C2semidirect
9. #21457856C2semidirect
10. #21457754C2semidirect
11. #21457734C2semidirect
12. #21457557C2semidirect
13. #21457530C2semidirect
14. #21457402C2semidirect
15. #21457394C2semidirect
16. #21457381C2semidirect
17. #21457325C2semidirect
18. #21457246C2semidirect
19. #21457223C2semidirect
20. #21457158C2semidirect
21. #21456924C2semidirect
22. #21456909C2semidirect
23. #21456831C2semidirect
24. #21456115C2semidirect
25. #21456106C2semidirect
26. #21455924C2semidirect
27. #21455352C2semidirect
28. #21455339C2semidirect
29. #21455271C2semidirect
30. #21454954C2semidirect
31. C61×#3319C2semidirect
34. C2×#14519798C22semidirect
36. C22×Dic244C22semidirect
41. #16840492C22semidirect
42. #16840482C22semidirect
48. #16840480C22semidirect
57. #16840418C22semidirect
61. #16840379C22semidirect
72. #16840317C22semidirect
79. #16840239C22semidirect
80. C4×#11758224C22semidirect
82. #16840156C22semidirect
83. #16840153C22semidirect
87. #16840124C22semidirect
90. #16840111C22semidirect
92. #16840106C22semidirect
94. #16840086C22semidirect
96. #16840072C22semidirect
97. #16840068C22semidirect
98. #16840068C22semidirect
99. #16840064C22semidirect
100. #16840056C22semidirect
102. #16840045C22semidirect
103. #16840044C22semidirect
104. #16840041C22semidirect
106. #16840013C22semidirect
108. #16840004C22semidirect
109. #16840004C22semidirect
111. #16839991C22semidirect
115. #16839985C22semidirect
123. #16839983C22semidirect
124. #16839982C22semidirect
126. #16839977C22semidirect
127. #16839976C22semidirect
130. #16839973C22semidirect
131. #16839971C22semidirect
132. #16839971C22semidirect
133. #16839971C22semidirect
134. #16839971C22semidirect
135. #16839971C22semidirect
137. #16839965C22semidirect
144. #16839927C22semidirect
145. #16839927C22semidirect
149. #16839925C22semidirect
152. #16839920C22semidirect
157. #16839903C22semidirect
159. #16839900C22semidirect
160. #16839891C22semidirect
161. #16839890C22semidirect
162. #16839870C22semidirect
163. #16839868C22semidirect
164. #16839866C22semidirect
166. #16839862C22semidirect
167. #16839861C22semidirect
169. #16839856C22semidirect
170. #16839854C22semidirect
172. #16839849C22semidirect
173. #16839836C22semidirect
176. C8×C22⋊D61C22semidirect
179. #16839820C22semidirect
180. #16839817C22semidirect
182. #16839788C22semidirect
183. C4⋊C8×D61C22semidirect
184. #16839770C22semidirect
185. #16839757C22semidirect
867. #3319D61semidirect
1072. C61#62013semidirect

Maximal subgroups

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

subgroupindex
#214603972
#214598352
#214588972
#214588902
#214586362
#214585562
#214579992
#214578882
#214578562
#214577542
#214577342
#214575572
#214575302
#214574022
#214573942
#214573812
#214573252
#214572462
#214572232
#214571582
#214569242
#214569092
#214568312
#214561152
#214561062
#214559242
#214553522
#214553392
#214552712
#214549542
C61×#33192
#6201361