Finite Group Databasebeta

← #30551421

Subgroups — #30551421

Order 15616.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459207C211yesmaximal, characteristic, complemented
2#21459148C211yesmaximal, characteristic, complemented
3#21456934C211yesmaximal, characteristic, complemented
4#21456932C211yesmaximal, characteristic, complemented
5#21456926C211yesmaximal, characteristic, complemented
6#21456924C211yesmaximal, characteristic, complemented
7#21456919C211yesmaximal, characteristic, complemented
8#21456917C211yesmaximal, characteristic, complemented
9#21456911C211yesmaximal, characteristic, complemented
10#21456909C211yesmaximal, characteristic, complemented
11#21456900C211yesmaximal, characteristic, complemented
12#21456898C211yesmaximal, characteristic, complemented
13#21456889C211yesmaximal, characteristic, complemented
14#21456887C211yesmaximal, characteristic, complemented
15#21456878C211yesmaximal, characteristic, complemented
16#21456876C211yesmaximal, characteristic, complemented
17#21456867C211yesmaximal, characteristic, complemented
18#21456865C211yesmaximal, characteristic, complemented
19#21456262C211yesmaximal, characteristic, complemented
20#21456243C211yesmaximal, characteristic, complemented
21#21456162C211yesmaximal, characteristic, complemented
22#21456139C211yesmaximal, characteristic, complemented
23#21455272C211yesmaximal, characteristic, complemented
24#21455272C211yesmaximal, characteristic, complemented
25#21455270C211yesmaximal, characteristic, complemented
26#21455270C211yesmaximal, characteristic, complemented
27#21455041C211yesmaximal, characteristic, complemented
28#21455037C211yesmaximal, characteristic, complemented
29#21455035C211yesmaximal, characteristic, complemented
30C2×#16839820C211yesmaximal, characteristic, complemented
31C61×#3002C211yesmaximal, characteristic, complemented
32C22×#11758222C2211yescharacteristic
33C2×#14519799C2211yescharacteristic, complemented
34C2×#14519799C2211yescharacteristic, complemented
35C2×#14519797C2211yescharacteristic, complemented
36C2×#14519797C2211yescharacteristic, complemented
37C2×#14519797C2211yescharacteristic, complemented
38C2×#14519797C2211yescharacteristic, complemented
39#16840385C2211yescharacteristic, complemented
40#16840385C2211yescharacteristic, complemented
41#16840379C2211yescharacteristic, complemented
42#16840379C2211yescharacteristic, complemented
43#16840372C2211yescharacteristic, complemented
44#16840372C2211yescharacteristic, complemented
45#16840365C2211yescharacteristic, complemented
46#16840365C2211yescharacteristic, complemented
47#16840356—21no—
48#16840356—21no—
49#16840347—21no—
50#16840347—21no—
51#16840340—21no—
52#16840340—21no—
53#16840336C2211yescharacteristic
54#16840336C2211yescharacteristic
55#16840333C2211yescharacteristic
56#16840333C2211yescharacteristic
57#16840329C2211yescharacteristic
58#16840329C2211yescharacteristic
59#16840326C2211yescharacteristic
60#16840326C2211yescharacteristic
61#16840321—21no—
62#16840321—21no—
63#16840315C2211yescharacteristic, complemented
64#16840308C2211yescharacteristic
65#16840308C2211yescharacteristic
66#16840308C2211yescharacteristic
67#16840308C2211yescharacteristic
68#16840308C2211yescharacteristic, complemented
69#16840294—21no—
70#16840294—21no—
71#16840292—21no—
72#16840292—21no—
73#16840273—21no—
74#16840273—21no—
75#16840273C2211yescharacteristic
76#16840269—21no—
77#16840269—21no—
78#41×Dic61C2211yescharacteristic, complemented
79#16840230C2211yescharacteristic, complemented
80C2×#14519736C2211yescharacteristic
81#16840155C2211yescharacteristic, complemented
82#16840155C2211yescharacteristic, complemented
83#16840153C2211yescharacteristic, complemented
84#16840153C2211yescharacteristic, complemented
85#16840150C2211yescharacteristic, complemented
86#16840150C2211yescharacteristic, complemented
87#16840148C2211yescharacteristic, complemented
88#16840148C2211yescharacteristic, complemented
89#16840147C2211yescharacteristic, complemented
90#16840145C2211yescharacteristic, complemented
91#16840143C2211yescharacteristic, complemented
92#16840143C2211yescharacteristic, complemented
93#16840140C2211yescharacteristic, complemented
94#16840137C2211yescharacteristic, complemented
95#16840133C2211yescharacteristic, complemented
96#16840133C2211yescharacteristic, complemented
97#16840129C2211yescharacteristic, complemented
98#16840129C2211yescharacteristic, complemented
99#16840125C2211yescharacteristic, complemented
100#16840125C2211yescharacteristic, complemented
101#16840123C2211yescharacteristic, complemented
102#16840123C2211yescharacteristic, complemented
103#16840120C2211yescharacteristic, complemented
104#16840120C2211yescharacteristic, complemented
105#16840118C2211yescharacteristic, complemented
106#16840118C2211yescharacteristic, complemented
107#16840115C2211yescharacteristic, complemented
108#16840115C2211yescharacteristic, complemented
109#16840111C2211yescharacteristic, complemented
110#16840111C2211yescharacteristic, complemented
111#16840107C2211yescharacteristic, complemented
112#16840107C2211yescharacteristic, complemented
113#16839987C2211yescharacteristic, complemented
114#16839987C2211yescharacteristic, complemented
115#16839986C2211yescharacteristic, complemented
116#16839986C2211yescharacteristic, complemented
117#16839983C2211yescharacteristic, complemented
118#16839983C2211yescharacteristic, complemented
119#16839982C2211yescharacteristic, complemented
120#16839982C2211yescharacteristic, complemented
121#16839980C2211yescharacteristic, complemented
122#16839980C2211yescharacteristic, complemented
123#16839979C2211yescharacteristic, complemented
124#16839979C2211yescharacteristic, complemented
125#16839976C2211yescharacteristic, complemented
126#16839976C2211yescharacteristic, complemented
127#16839975C2211yescharacteristic, complemented
128#16839975C2211yescharacteristic, complemented
129#16839971C2211yescharacteristic, complemented
130#16839971C2211yescharacteristic, complemented
131#16839970C2211yescharacteristic, complemented
132#16839970C2211yescharacteristic, complemented
133#16839966C2211yescharacteristic, complemented
134#16839966C2211yescharacteristic, complemented
135#16839965C2211yescharacteristic, complemented
136#16839965C2211yescharacteristic, complemented
137#16839961C2211yescharacteristic, complemented
138#16839961C2211yescharacteristic, complemented
139#16839960C2211yescharacteristic, complemented
140#16839960C2211yescharacteristic, complemented
141#16839956C2211yescharacteristic, complemented
142#16839956C2211yescharacteristic, complemented
143#16839955C2211yescharacteristic, complemented
144#16839955C2211yescharacteristic, complemented
145#16839926C2211yescharacteristic
146#16839926C2211yescharacteristic
147#16839924C2211yescharacteristic
148#16839924C2211yescharacteristic
149#16839922C2211yescharacteristic
150#16839922C2211yescharacteristic
151#16839920C2211yescharacteristic, complemented
152#16839918C2211yescharacteristic, complemented
153#16839917C2211yescharacteristic, complemented
154#16839915C2211yescharacteristic, complemented
155#16839913C2211yescharacteristic, complemented
156#16839912C2211yescharacteristic, complemented
157#16839909C2211yescharacteristic
158#16839909C2211yescharacteristic
159#16839907C2211yescharacteristic
160#16839907C2211yescharacteristic
161#16839905C2211yescharacteristic
162#16839905C2211yescharacteristic
163#16839903C2211yescharacteristic, complemented
164#16839901C2211yescharacteristic, complemented
165#16839900C2211yescharacteristic, complemented
166#16839898C2211yescharacteristic, complemented
167#16839896C2211yescharacteristic, complemented
168#16839895C2211yescharacteristic, complemented
169#16839820C2211yescharacteristic, complemented
170#16839820C2211yescharacteristic, complemented
171#16839820C2211yescharacteristic, complemented
172#16839820C2211yescharacteristic, complemented
173#16839820C2211yescharacteristic, complemented
174#16839820C2211yescharacteristic, complemented
175#16839820C2211yescharacteristic, complemented
176#16839820C2211yescharacteristic, complemented
177C2×#14519706C2211yescharacteristic, complemented
178C2×#14519706C2211yescharacteristic, complemented
179#16839759C2211yescharacteristic, complemented
180#16839759C2211yescharacteristic, complemented
181#16839758C2211yescharacteristic, complemented
182#16839758C2211yescharacteristic, complemented
183#16839756C2211yescharacteristic, complemented
184#16839756C2211yescharacteristic, complemented
185C2×C22⋊#92418C2211yescharacteristic
186C2×#14519687C2211yescharacteristic, complemented
187C2×C8×Dic61C2211yescharacteristic, complemented
188C22×#41×C61C2211yescharacteristic
189C2×#135×C61C2211yescharacteristic, complemented
190C2×#135×C61C2211yescharacteristic, complemented
191C61×#525C2211yescharacteristic
192C61×#452C2211yescharacteristic
193C61×#452C2211yescharacteristic
194C61×#451C2211yescharacteristic, complemented
195C61×#450C2211yescharacteristic, complemented
196C61×#449C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#448C2211yescharacteristic, complemented
199C61×#447C2211yescharacteristic, complemented
200C61×#416C2211yescharacteristic, complemented
201C61×#416C2211yescharacteristic, complemented
202C2×C22⋊C8×C61C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758222—21no—
205C2×#11758222—42no—
206C2×#11758222—42no—
207C2×#11758222C2311yescharacteristic
208C2×#11758222C2311yescharacteristic
209C2×#11758222C2311yescharacteristic
210C2×#11758222C2311yescharacteristic
211C2×#11758222C2311yescharacteristic
212C22×Dic122C2311yescharacteristic
213C22×D244C2311yescharacteristic
214C22×C22⋊D61—21no—
215C22×C4×D61—21no—
216#14519799—42no—
217#14519799—42no—
218#14519797—42no—
219#14519797—42no—
220#14519797—42no—
221#14519797—42no—
222C2×Dic244C2311yescharacteristic
223C2×Dic244C2311yescharacteristic
224C2×#11758202C2311yescharacteristic
225C2×#11758202C2311yescharacteristic
226C2×#11758202C2311yescharacteristic
227C2×#11758202C2311yescharacteristic
228C2×#11758190C2311yescharacteristic
229C2×#11758190C2311yescharacteristic
230C2×#11758190C2311yescharacteristic
231C2×#11758190C2311yescharacteristic
232C2×#11758200C2311yescharacteristic
233C2×#11758200C2311yescharacteristic
234C2×#11758200C2311yescharacteristic
235C2×#11758200C2311yescharacteristic
236C2×#11758201C2311yescharacteristic
237C2×#11758201C2311yescharacteristic
238C2×#11758201C2311yescharacteristic
239C2×#11758201C2311yescharacteristic
240C2×D488C2311yescharacteristic
241C2×D488C2311yescharacteristic
242C2×#11758199C2311yescharacteristic
243C2×#11758199C2311yescharacteristic
244C2×#11758199C2311yescharacteristic
245C2×#11758199C2311yescharacteristic
246C22×#92418C2311yescharacteristic
247C22×#92418C2311yescharacteristic
248#14519776C2311yescharacteristic
249#14519776C2311yescharacteristic
250#14519775C2311yescharacteristic
251#14519775C2311yescharacteristic
252#14519775C2311yescharacteristic
253#14519775C2311yescharacteristic
254#14519775C2311yescharacteristic
255#14519773C2311yescharacteristic
256#14519773C2311yescharacteristic
257#14519773C2311yescharacteristic
258#14519773C2311yescharacteristic
259#14519773C2311yescharacteristic
260#14519772—21no—
261#14519772—21no—
262#14519770—21no—
263#14519770—21no—
264#14519770—21no—
265#14519770—21no—
266#14519770—21no—
267#14519770—21no—
268#14519768—21no—
269#14519768—21no—
270#14519768C2311yescharacteristic
271#14519768C2311yescharacteristic
272#14519767—21no—
273#14519767—21no—
274#14519766C2311yescharacteristic
275#14519766C2311yescharacteristic
276#14519766C2311yescharacteristic
277#14519766C2311yescharacteristic
278#14519766C2311yescharacteristic
279#14519764—21no—
280#14519764—21no—
281#14519764C2311yescharacteristic
282#14519764C2311yescharacteristic
283#14519764C2311yescharacteristic
284#14519764C2311yescharacteristic
285#14519764C2311yescharacteristic
286#14519763—21no—
287#14519763—21no—
288#14519761—21no—
289#14519761—21no—
290#14519760—21no—
291#14519760—21no—
292#14519760—21no—
293#14519760—21no—
294#14519760—21no—
295#14519759—21no—
296#14519759—21no—
297#14519759—21no—
298#14519759—21no—
299#14519758—21no—
300#14519758—21no—
301#14519758—21no—
302#14519758—21no—
303#14519758—21no—
304#14519758—21no—
305#14519757—21no—
306#14519757—21no—
307#14519756—21no—
308#14519756—21no—
309#14519756—21no—
310#14519756—21no—
311#14519756C2311yescharacteristic
312#14519756C2311yescharacteristic
313#14519754—21no—
314#14519754—21no—
315#14519754—21no—
316#14519754—21no—
317#14519753—21no—
318#14519753—21no—
319#14519753—21no—
320#14519753—21no—
321#14519751—21no—
322#14519751—21no—
323#14519751—21no—
324#14519751—21no—
325#14519751C2311yescharacteristic
326#14519751C2311yescharacteristic
327#14519749—21no—
328#14519749—21no—
329#14519749—21no—
330#14519749—21no—
331#14519749—21no—
332#14519749—21no—
333#14519749—21no—
334#14519749—21no—
335#14519749—21no—
336#14519749—21no—
337#14519749—21no—
338#14519749—21no—
339#14519748—21no—
340#14519748—21no—
341#14519748—21no—
342#14519748—21no—
343#14519748—21no—
344#14519748—21no—
345#14519746—21no—
346#14519746—21no—
347#14519746—21no—
348#14519746—21no—
349#14519746—21no—
350#14519745—21no—
351#14519745—21no—
352#14519745—21no—
353#14519745—21no—
354Q8×Dic61C2311yescharacteristic
355Q8×Dic61C2311yescharacteristic
356C4×Dic122—21no—
357C4×Dic122—21no—
358#14519742C2311yescharacteristic
359#14519742C2311yescharacteristic
360D4×Dic61—21no—
361D4×Dic61—21no—
362D4×Dic61C2311yescharacteristic
363D4×Dic61C2311yescharacteristic
364#14519739C2311yescharacteristic
365#14519739C2311yescharacteristic
366C4×C22⋊D61—21no—
367C4×C22⋊D61—21no—
368C4×C22⋊D61—21no—
369C4×C22⋊D61—21no—
370C4×C22⋊D61—21no—
371C4×C22⋊D61—21no—
372C4×C22⋊D61—21no—
373C4×C22⋊D61—21no—
374C4×C22⋊D61—21no—
375C4×C22⋊D61—21no—
376C4×C22⋊D61—21no—
377C4×C22⋊D61—21no—
378#14519737—21no—
379#14519737—21no—
380#14519736—21no—
381#14519736D411yescharacteristic
382#14519736D411yescharacteristic
383#14519736D411yescharacteristic
384#14519736D411yescharacteristic
385#14519736C2311yescharacteristic
386#14519736C2311yescharacteristic
387#14519736C2311yescharacteristic
388#14519736C2311yescharacteristic
389#14519736C2311yescharacteristic
390#14519734—21no—
391C2×C4⋊Dic61D411yescharacteristic
392C2×C4⋊Dic61D411yescharacteristic
393C2×C22⋊Dic61D411yescharacteristic
394C2×C22⋊Dic61D411yescharacteristic
395C2×C4×Dic61—21no—
396C2×C4×Dic61C2311yescharacteristic
397C2×C4×Dic61C2311yescharacteristic
398C42×D61—21no—
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431C22⋊#92418C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434C22⋊#92418C2311yescharacteristic
435#14519687C2311yescharacteristic
436#14519687C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C8×Dic61C2311yescharacteristic
442C8×Dic61C2311yescharacteristic
443C2×#41×C61—21no—
444C2×#41×C61—21no—
445C2×#41×C61—42no—
446C2×#41×C61—42no—
447C2×#41×C61C2311yescharacteristic
448C2×#41×C61C2311yescharacteristic
449C2×#41×C61C2311yescharacteristic
450C2×#41×C61C2311yescharacteristic
451C2×#41×C61C2311yescharacteristic
452C22×Q8×C61C2311yescharacteristic
453C22×D4×C61—21no—
454C22×D4×C61C2311yescharacteristic
455C23×C4×C61—21no—
456C23×C4×C61C2311yescharacteristic
457#135×C61—42no—
458#135×C61—42no—
459C2×Q16×C61C2311yescharacteristic
460C2×Q16×C61C2311yescharacteristic
461C2×SD16×C61C2311yescharacteristic
462C2×SD16×C61C2311yescharacteristic
463C2×SD16×C61C2311yescharacteristic
464C2×SD16×C61C2311yescharacteristic
465C2×D8×C61C2311yescharacteristic
466C2×D8×C61C2311yescharacteristic
467C22×C8×C61C2311yescharacteristic
468C22×C8×C61C2311yescharacteristic
469#123×C61—21no—
470C22⋊Q8×C61C2311yescharacteristic
471C22⋊Q8×C61C2311yescharacteristic
472#121×C61C2311yescharacteristic
473#121×C61C2311yescharacteristic
474#120×C61—21no—
475C4×D4×C61—21no—
476C4×D4×C61—21no—
477#117×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484#102×C61C2311yescharacteristic
485#102×C61C2311yescharacteristic
486C22⋊C8×C61C2311yescharacteristic
487C22⋊C8×C61C2311yescharacteristic
488C22⋊C8×C61C2311yescharacteristic
489C22⋊C8×C61C2311yescharacteristic
490C24×C61—21no—
491C24×C61C2×D411yescharacteristic
492C23×D61—21no—
493#41×C61—22no—
494#41×C61—22no—
495#41×C61—22no—
496#41×C61—22no—
497#41×C61—22no—
498#41×C61—22no—
499#41×C61—41no—
500#41×C61—41no—
501#41×C61—41no—
502#41×C61—41no—
503#41×C61—44no—
504#41×C61—44no—
505C2×Q8×C61—21no—
506C2×Q8×C61—41no—
507C2×Q8×C61—41no—
508C2×Q8×C61C2411yescharacteristic
509C2×Q8×C61C2411yescharacteristic
510C2×Q8×C61C2411yescharacteristic
511C2×D4×C61—21no—
512C2×D4×C61—21no—
513C2×D4×C61—21no—
514C2×D4×C61—21no—
515C2×D4×C61—21no—
516C2×D4×C61—21no—
517C2×D4×C61—21no—
518C2×D4×C61—21no—
519C2×D4×C61—41no—
520C2×D4×C61—41no—
521C2×D4×C61—44no—
522C2×D4×C61C2411yescharacteristic
523C2×D4×C61C2411yescharacteristic
524C2×D4×C61C2411yescharacteristic
525C22×C4×C61—22no—
526C22×C4×C61—22no—
527C22×C4×C61—21no—
528C22×C4×C61—21no—
529C22×C4×C61—21no—
530C22×C4×C61—21no—
531C22×C4×C61—21no—
532C22×C4×C61—21no—
533C22×C4×C61—44no—
534C22×C4×C61C2×D411yescharacteristic
535C22×C4×C61C2×D411yescharacteristic
536C22×C4×C61C2×D411yescharacteristic
537C22×C4×C61C2411yescharacteristic
538C22×C4×C61C2411yescharacteristic
539C22×C4×C61C2411yescharacteristic
540C2×C22⋊D61—21no—
541C2×C22⋊D61—21no—
542C2×C22⋊D61—21no—
543C2×C22⋊D61—21no—
544C2×C22⋊D61—21no—
545C2×C22⋊D61—21no—
546C2×C22⋊D61—21no—
547C2×C22⋊D61—21no—
548C2×C22⋊D61—21no—
549C2×C22⋊D61—21no—
550C2×C22⋊D61—21no—
551C2×C22⋊D61—21no—
552C2×C22⋊D61—21no—
553C2×C22⋊D61—21no—
554C2×C22⋊D61—21no—
555C2×C22⋊D61—21no—
556C2×C22⋊D61—21no—
557C2×C22⋊D61—44no—
558C22×Dic61—21no—
559C22×Dic61—21no—
560C22×Dic61—21no—
561C22×Dic61C2×D411yescharacteristic
562C22×Dic61C2×D411yescharacteristic
563C22×Dic61C2×D411yescharacteristic
564C22×Dic61C2×D411yescharacteristic
565#11758222—22no—
566#11758222—22no—
567#11758222—22no—
568#11758222—22no—
569#11758222—22no—
570#11758222—22no—
571#11758222—41no—
572#11758222—41no—
573#11758222—41no—
574#11758222—41no—
575#11758222—44no—
576#11758222—44no—
577C2×D244—21no—
578C2×D244—41no—
579C2×D244—41no—
580C2×D244C2411yescharacteristic
581C2×D244C2411yescharacteristic
582C2×D244C2411yescharacteristic
583C2×C4×D61—21no—
584C2×C4×D61—21no—
585C2×C4×D61—21no—
586C2×C4×D61—21no—
587C2×C4×D61—21no—
588C2×C4×D61—21no—
589C2×C4×D61—21no—
590C2×C4×D61—44no—
591C2×Dic122—21no—
592C2×Dic122—21no—
593C2×Dic122—21no—
594C2×Dic122—41no—
595C2×Dic122—41no—
596C2×Dic122C2411yescharacteristic
597C2×Dic122C2411yescharacteristic
598C2×Dic122C2411yescharacteristic
599Q16×C61—41no—
600Q16×C61—41no—
601SD16×C61—41no—
602SD16×C61—41no—
603SD16×C61—41no—
604SD16×C61—41no—
605D8×C61—41no—
606D8×C61—41no—
607C2×C8×C61—22no—
608C2×C8×C61—22no—
609C2×C8×C61C2411yescharacteristic
610C2×C8×C61C2411yescharacteristic
611C2×C8×C61C2411yescharacteristic
612C2×C8×C61C2411yescharacteristic
613C4⋊C4×C61—21no—
614C4⋊C4×C61—21no—
615C4⋊C4×C61C2411yescharacteristic
616C4⋊C4×C61C2411yescharacteristic
617C22⋊C4×C61—21no—
618C22⋊C4×C61—21no—
619C22⋊C4×C61—21no—
620C22⋊C4×C61—21no—
621C22⋊C4×C61—21no—
622C42×C61—21no—
623C22⋊Dic61—21no—
624C22⋊Dic61—21no—
625C22⋊Dic61—21no—
626C22⋊Dic61—21no—
627C22⋊Dic61—21no—
628C22⋊Dic61—21no—
629C22⋊Dic61—21no—
630C22⋊Dic61—21no—
631C22⋊Dic61—21no—
632C22⋊Dic61—21no—
633C22⋊Dic61—21no—
634C22⋊Dic61—21no—
635C22⋊Dic61—21no—
636C22⋊Dic61—21no—
637C22⋊Dic61—21no—
638C22⋊Dic61C2×D411yescharacteristic
639C22⋊Dic61C2×D411yescharacteristic
640C22⋊Dic61C2×D411yescharacteristic
641C22⋊Dic61C2×D411yescharacteristic
642C22⋊Dic61C2×D411yescharacteristic
643C22⋊Dic61C2×D411yescharacteristic
644C22⋊Dic61C2×D411yescharacteristic
645C22⋊Dic61C2×D411yescharacteristic
646#11758202—41no—
647#11758202—41no—
648#11758202—41no—
649#11758202—41no—
650#11758201—41no—
651#11758201—41no—
652#11758201—41no—
653#11758201—41no—
654#11758200—41no—
655#11758200—41no—
656#11758200—41no—
657#11758200—41no—
658#11758199—41no—
659#11758199—41no—
660#11758199—41no—
661#11758199—41no—
662#11758198—21no—
663#11758198—21no—
664#11758198—21no—
665#11758198—21no—
666#11758198—21no—
667#11758198—21no—
668#11758198—21no—
669#11758198—21no—
670#11758198—21no—
671#11758198—21no—
672#11758198—21no—
673#11758198—21no—
674#11758198—21no—
675#11758198—21no—
676C4⋊Dic61—21no—
677C4⋊Dic61—21no—
678C4⋊Dic61—21no—
679C4⋊Dic61—21no—
680C4⋊Dic61C2×D411yescharacteristic
681C4⋊Dic61C2×D411yescharacteristic
682C4⋊Dic61C2×D411yescharacteristic
683C4⋊Dic61C2×D411yescharacteristic
684C4⋊Dic61C2×D411yescharacteristic
685C4⋊Dic61C2×D411yescharacteristic
686C4⋊Dic61C2×D411yescharacteristic
687C4⋊Dic61C2×D411yescharacteristic
688C4⋊Dic61C2411yescharacteristic
689C4⋊Dic61C2411yescharacteristic
690#11758196—21no—
691#11758196—21no—
692#11758196—21no—
693#11758196—21no—
694#11758196—21no—
695#11758196—21no—
696#11758196—21no—
697#11758196—21no—
698#11758196—21no—
699#11758196—21no—
700#11758196—21no—
701#11758196—21no—
702#11758196—21no—
703#11758196—21no—
704#11758196—21no—
705#11758196—21no—
706#11758196—21no—
707#11758196—21no—
708C4×Dic61—21no—
709C4×Dic61—21no—
710C4×Dic61—21no—
711C4×Dic61—21no—
712C4×Dic61—21no—
713C4×Dic61C2×D411yescharacteristic
714C4×Dic61C2×D411yescharacteristic
715C4×Dic61C2×D411yescharacteristic
716C4×Dic61C2×D411yescharacteristic
717C4×Dic61C2411yescharacteristic
718C4×Dic61C2411yescharacteristic
719C4×Dic61C2411yescharacteristic
720C4×Dic61C2411yescharacteristic
721C2×#92418—22no—
722C2×#92418—22no—
723C2×#92418C2411yescharacteristic
724C2×#92418C2411yescharacteristic
725C2×#92418C2411yescharacteristic
726C2×#92418C2411yescharacteristic
727Dic244—41no—
728Dic244—41no—
729D488—41no—
730D488—41no—
731#11758190—41no—
732#11758190—41no—
733#11758190—41no—
734#11758190—41no—
735C23×C61—22no—
736C23×C61—21no—
737C23×C61—21no—
738C23×C61—21no—
739C23×C61—41no—
740C23×C61—41no—
741C23×C61—42no—
742C23×C61—81no—
743C23×C61—81no—
744C23×C61C22×D411yescharacteristic
745C23×C61C22×D411yescharacteristic
746C23×C61C22×D411yescharacteristic
747C22×D61—21no—
748C22×D61—21no—
749C22×D61—21no—
750C22×D61—42no—
751C22×D61—81no—
752C22×D61—81no—
753Q8×C61—21no—
754Q8×C61—21no—
755Q8×C61—21no—
756Q8×C61—21no—
757Q8×C61—21no—
758Q8×C61—21no—
759Q8×C61—42no—
760D4×C61—21no—
761D4×C61—21no—
762D4×C61—21no—
763D4×C61—21no—
764D4×C61—21no—
765D4×C61—21no—
766D4×C61—42no—
767D4×C61—42no—
768D4×C61—42no—
769D4×C61—42no—
770D4×C61—42no—
771D4×C61—42no—
772D4×C61—81no—
773D4×C61—81no—
774C2×C4×C61—22no—
775C2×C4×C61—22no—
776C2×C4×C61—22no—
777C2×C4×C61—21no—
778C2×C4×C61—21no—
779C2×C4×C61—21no—
780C2×C4×C61—21no—
781C2×C4×C61—21no—
782C2×C4×C61—21no—
783C2×C4×C61—21no—
784C2×C4×C61—21no—
785C2×C4×C61—21no—
786C2×C4×C61—42no—
787C2×C4×C61—42no—
788C2×C4×C61—42no—
789C2×C4×C61—42no—
790C2×C4×C61—42no—
791C2×C4×C61—42no—
792C2×C4×C61C22×D411yescharacteristic
793C2×C4×C61C22×D411yescharacteristic
794C2×C4×C61C22×D411yescharacteristic
795C2×C4×C61H(5,𝔽2)12yes—
796C2×C4×C61H(5,𝔽2)12yes—
797C2×C4×C61C2511yescharacteristic
798C22⋊D61—42no—
799C22⋊D61—42no—
800C22⋊D61—42no—
801C22⋊D61—42no—
802C22⋊D61—42no—
803C22⋊D61—81no—
804C22⋊D61—81no—
805C22⋊D61—81no—
806C22⋊D61—81no—
807C22⋊D61—81no—
808C22⋊D61—81no—
809C22⋊D61—81no—
810C22⋊D61—81no—
811C22⋊D61—81no—
812C22⋊D61—81no—
813C22⋊D61—81no—
814C22⋊D61—81no—
815C2×Dic61—21no—
816C2×Dic61—21no—
817C2×Dic61—21no—
818C2×Dic61—21no—
819C2×Dic61—21no—
820C2×Dic61—41no—
821C2×Dic61—41no—
822C2×Dic61—41no—
823C2×Dic61—41no—
824C2×Dic61—42no—
825C2×Dic61—81no—
826C2×Dic61—81no—
827C2×Dic61C22×D411yescharacteristic
828C2×Dic61C22×D411yescharacteristic
829C2×Dic61C22×D411yescharacteristic
830C2×Dic61C22×D411yescharacteristic
831C2×Dic61C22×D411yescharacteristic
832C2×Dic61C22×D411yescharacteristic
833C2×Dic61C22×D411yescharacteristic
834C2×Dic61C22×D411yescharacteristic
835D244—21no—
836D244—21no—
837D244—21no—
838D244—21no—
839D244—21no—
840D244—21no—
841D244—42no—
842C4×D61—42no—
843C4×D61—42no—
844C4×D61—42no—
845C4×D61—42no—
846C4×D61—42no—
847C4×D61—81no—
848C4×D61—81no—
849Dic122—21no—
850Dic122—21no—
851Dic122—21no—
852Dic122—21no—
853Dic122—21no—
854Dic122—21no—
855Dic122—42no—
856Dic122—81no—
857Dic122—81no—
858C8×C61—21no—
859C8×C61—21no—
860C8×C61—21no—
861C8×C61—21no—
862#92418—21no—
863#92418—21no—
864#92418—21no—
865#92418—21no—
866#60797—611nomaximal, Sylow
867C22×C61—21no—
868C22×C61—21no—
869C22×C61—21no—
870C22×C61—21no—
871C22×C61—21no—
872C22×C61—21no—
873C22×C61—21no—
874C22×C61—21no—
875C22×C61—41no—
876C22×C61—41no—
877C22×C61—41no—
878C22×C61—41no—
879C22×C61—41no—
880C22×C61—41no—
881C22×C61—41no—
882C22×C61—41no—
883C22×C61—41no—
884C22×C61—82no—
885C22×C61—84no—
886C22×C61#53512yes—
887C22×C61C23×D411yescharacteristic
888C2×D61—41no—
889C2×D61—41no—
890C2×D61—41no—
891C2×D61—41no—
892C2×D61—41no—
893C2×D61—41no—
894C2×D61—41no—
895C2×D61—41no—
896C2×D61—41no—
897C2×D61—84no—
898C4×C61—21no—
899C4×C61—21no—
900C4×C61—41no—
901C4×C61—41no—
902C4×C61—41no—
903C4×C61—41no—
904C4×C61—41no—
905C4×C61#53512yes—
906C4×C61C2×H(5,𝔽2)11yescharacteristic
907C4×C61C2×H(5,𝔽2)11yescharacteristic
908Dic61—21no—
909Dic61—21no—
910Dic61—21no—
911Dic61—21no—
912Dic61—21no—
913Dic61—21no—
914Dic61—21no—
915Dic61—21no—
916Dic61—41no—
917Dic61—41no—
918Dic61—41no—
919Dic61—41no—
920Dic61—41no—
921#3455—611no—
922#3449—611no—
923#3225—611no—
924#3225—611no—
925#3225—611no—
926#3225—611no—
927#3224—611no—
928#3224—611no—
929#3224—611no—
930#3224—611no—
931#3223—611no—
932#3223—611no—
933#3222—611no—
934#3222—611no—
935#3221—611no—
936#3221—611no—
937#3220—611no—
938#3220—611no—
939#3150—611no—
940#3147—611no—
941#3135—611no—
942#3131—611no—
943#3035—611no—
944#3035—611no—
945#3035—611no—
946#3035—611no—
947#3002—611no—
948#3002—611no—
949#3002—611no—
950#3002D6111yescharacteristic, complemented
951C2×#433—611no—
952C2×C61—22no—
953C2×C61—41no—
954C2×C61—41no—
955C2×C61—81no—
956C2×C61—81no—
957C2×C61—81no—
958C2×C61C2×#53511yescharacteristic
959C2×C61#358411yescharacteristic
960C2×C61#358411yescharacteristic
961D61—81no—
962D61—81no—
963D61—81no—
964C22×#41—611no—
965C22×#41C2×D6111yescharacteristic
966C2×#135—611no—
967C2×#135—611no—
968C2×#135—611no—
969C2×#135—611no—
970C2×#135—611no—
971C2×#135—611no—
972C2×#135C2×D6111yescharacteristic, complemented
973C2×#135C2×D6111yescharacteristic, complemented
974#542—611no—
975#542—611no—
976#542—611no—
977#542—611no—
978#541—611no—
979#541—611no—
980#540—611no—
981#540—611no—
982#539—1221no—
983#539—1221no—
984#538—1221no—
985#538—1221no—
986#537—1221no—
987#537—1221no—
988#536—611no—
989#536—611no—
990#536—611no—
991#536—611no—
992#535—611no—
993#535—611no—
994#535—611no—
995#535—611no—
996#534—1221no—
997#534—1221no—
998#533—611no—
999#532—611no—
1000#532—611no—
1001#532—611no—
1002#532—611no—
1003#532—611no—
1004#529—1221no—
1005#529—1221no—
1006#529—1221no—
1007#529—1221no—
1008#525—611no—
1009#525—1221no—
1010#525—1221no—
1011#525—1221no—
1012#525—1221no—
1013#525C2×D6111yescharacteristic
1014C4×#41—611no—
1015C4×#41—611no—
1016C2×#117—611no—
1017#497—611no—
1018#497—611no—
1019#497—611no—
1020#497—611no—
1021#496—611no—
1022#496—611no—
1023#496—611no—
1024#496—611no—
1025#495—611no—
1026#495—611no—
1027#495—611no—
1028#495—611no—
1029#494—611no—
1030#493—611no—
1031#492—611no—
1032#492—611no—
1033#491—611no—
1034#491—611no—
1035#490—611no—
1036#490—611no—
1037#489—611no—
1038#489—611no—
1039#489—611no—
1040#489—611no—
1041#488—611no—
1042#488—611no—
1043#488—611no—
1044#488—611no—
1045#487—611no—
1046#487—611no—
1047#486—611no—
1048#486—611no—
1049#464—611no—
1050#464—611no—
1051#464—611no—
1052#464—611no—
1053#464—611no—
1054#464—611no—
1055#464—611no—
1056#464—611no—
1057#463—611no—
1058#463—611no—
1059#463—611no—
1060#463—611no—
1061#463—611no—
1062#463—611no—
1063#463—611no—
1064#463—611no—
1065#462—611no—
1066#462—611no—
1067#462—611no—
1068#462—611no—
1069#461—611no—
1070#461—611no—
1071#461—611no—
1072#461—611no—
1073#460—611no—
1074#460—611no—
1075#460—611no—
1076#460—611no—
1077#459—611no—
1078#459—611no—
1079#459—611no—
1080#459—611no—
1081#452—611no—
1082#452—611no—
1083#452—611no—
1084#452—611no—
1085#452—611no—
1086#452—611no—
1087#452C2×D6111yescharacteristic
1088#452C2×D6111yescharacteristic
1089#451—611no—
1090#451—611no—
1091#451—611no—
1092#451C2×D6111yescharacteristic, complemented
1093#450—611no—
1094#450—611no—
1095#450—611no—
1096#450C2×D6111yescharacteristic, complemented
1097#449—611no—
1098#449—611no—
1099#449—611no—
1100#449—611no—
1101#449—611no—
1102#449—611no—
1103#449C2×D6111yescharacteristic
1104#449C2×D6111yescharacteristic
1105#448—611no—
1106#448—611no—
1107#448—611no—
1108#448C2×D6111yescharacteristic, complemented
1109#447—611no—
1110#447—611no—
1111#447—611no—
1112#447C2×D6111yescharacteristic, complemented
1113#433—611no—
1114#433—611no—
1115#433—611no—
1116#433—611no—
1117#433—611no—
1118#433—611no—
1119#433—611no—
1120#433—611no—
1121C2×C4⋊C8—611no—
1122C2×C4⋊C8—611no—
1123#416—611no—
1124#416—611no—
1125#416—611no—
1126#416—611no—
1127#416—611no—
1128#416—611no—
1129#416C2×D6111yescharacteristic, complemented
1130#416C2×D6111yescharacteristic, complemented
1131C2×C22⋊C8—611no—
1132C2×C22⋊C8C2×D6111yescharacteristic
1133C2×#97—611no—
1134C2×C4×C8—611no—
1135C61#6079711yescharacteristic, complemented, Sylow
1136C2×#41—21no—
1137C2×#41—21no—
1138C2×#41—42no—
1139C2×#41—42no—
1140C2×#41—611no—
1141C2×#41—611no—
1142C2×#41—611no—
1143C2×#41—611no—
1144C2×#41—611no—
1145C2×#41—1221no—
1146C2×#41—1221no—
1147C2×#41—2442no—
1148C2×#41—2442no—
1149C2×#41C22×D6111yescharacteristic
1150C2×#41C22×D6111yescharacteristic
1151C2×#41C22×D6111yescharacteristic
1152C2×#41C22×D6111yescharacteristic
1153C2×#41C22×D6111yescharacteristic
1154C22×Q8—611no—
1155C22×Q8C22×D6111yescharacteristic
1156C22×D4—21no—
1157C22×D4—611no—
1158C22×D4—1221no—
1159C22×D4C22×D6111yescharacteristic
1160C23×C4—21no—
1161C23×C4—1221no—
1162C23×C4C22×D6111yescharacteristic
1163#135—42no—
1164#135—42no—
1165#135—2442no—
1166#135—2442no—
1167#135—2442no—
1168#135—2442no—
1169#135—2442no—
1170#135—2442no—
1171C2×Q16—611no—
1172C2×Q16—611no—
1173C2×Q16—611no—
1174C2×Q16—611no—
1175C2×Q16—611no—
1176C2×Q16—611no—
1177C2×Q16C22×D6111yescharacteristic
1178C2×Q16C22×D6111yescharacteristic
1179C2×SD16—611no—
1180C2×SD16—611no—
1181C2×SD16—611no—
1182C2×SD16—611no—
1183C2×SD16—611no—
1184C2×SD16—611no—
1185C2×SD16—611no—
1186C2×SD16—611no—
1187C2×SD16—611no—
1188C2×SD16—611no—
1189C2×SD16—611no—
1190C2×SD16—611no—
1191C2×SD16C22×D6111yescharacteristic
1192C2×SD16C22×D6111yescharacteristic
1193C2×SD16C22×D6111yescharacteristic
1194C2×SD16C22×D6111yescharacteristic
1195C2×D8—611no—
1196C2×D8—611no—
1197C2×D8—611no—
1198C2×D8—611no—
1199C2×D8—611no—
1200C2×D8—611no—
1201C2×D8C22×D6111yescharacteristic
1202C2×D8C22×D6111yescharacteristic
1203C22×C8—611no—
1204C22×C8—611no—
1205C22×C8C22×D6111yescharacteristic
1206C22×C8C22×D6111yescharacteristic
1207C4⋊Q8—611no—
1208C4⋊Q8—611no—
1209C4⋊Q8—611no—
1210C4⋊Q8—611no—
1211C4⋊Q8—611no—
1212C4⋊Q8—611no—
1213C4⋊Q8—611no—
1214#127—611no—
1215#127—611no—
1216#127—611no—
1217#127—611no—
1218#127—611no—
1219#126—1221no—
1220#126—1221no—
1221#126—1221no—
1222#126—1221no—
1223#126—1221no—
1224#126—1221no—
1225#126—1221no—
1226#126—1221no—
1227#125—611no—
1228#125—611no—
1229#125—1221no—
1230#125—1221no—
1231#125—1221no—
1232#125—1221no—
1233#124—611no—
1234#124—611no—
1235#124—611no—
1236#124—611no—
1237#124—611no—
1238#124—611no—
1239#124—611no—
1240#124—611no—
1241#124—611no—
1242#124—611no—
1243#124—1221no—
1244#124—1221no—
1245#124—1221no—
1246#124—1221no—
1247#123—21no—
1248#123—1221no—
1249#123—1221no—
1250#123—1221no—
1251#123—1221no—
1252#123—1221no—
1253#123—1221no—
1254#123—1221no—
1255#123—1221no—
1256#123—1221no—
1257#123—1221no—
1258#123—1221no—
1259#123—1221no—
1260#123—1221no—
1261#123—1221no—
1262#123—1221no—
1263#123—1221no—
1264#123—1221no—
1265C22⋊Q8—611no—
1266C22⋊Q8—611no—
1267C22⋊Q8—1221no—
1268C22⋊Q8—1221no—
1269C22⋊Q8—1221no—
1270C22⋊Q8—1221no—
1271C22⋊Q8—1221no—
1272C22⋊Q8—1221no—
1273C22⋊Q8—1221no—
1274C22⋊Q8—1221no—
1275C22⋊Q8—1221no—
1276C22⋊Q8—1221no—
1277C22⋊Q8—1221no—
1278C22⋊Q8—1221no—
1279C22⋊Q8—1221no—
1280C22⋊Q8—1221no—
1281C22⋊Q8C22×D6111yescharacteristic
1282C22⋊Q8C22×D6111yescharacteristic
1283#121—611no—
1284#121—611no—
1285#121—1221no—
1286#121—1221no—
1287#121—1221no—
1288#121—1221no—
1289#121—1221no—
1290#121—1221no—
1291#121—1221no—
1292#121—1221no—
1293#121—1221no—
1294#121—1221no—
1295#121—1221no—
1296#121—1221no—
1297#121—1221no—
1298#121—1221no—
1299#121—1221no—
1300#121—1221no—
1301#121—1221no—
1302#121—1221no—
1303#121—1221no—
1304#121—1221no—
1305#121—1221no—
1306#121—1221no—
1307#121C22×D6111yescharacteristic
1308#121C22×D6111yescharacteristic
1309#120—21no—
1310#120—1221no—
1311#120—1221no—
1312#120—1221no—
1313#120—1221no—
1314#120—1221no—
1315#120—1221no—
1316#120—1221no—
1317#120—1221no—
1318#120—1221no—
1319C4×Q8—611no—
1320C4×Q8—611no—
1321C4×Q8—611no—
1322C4×Q8—611no—
1323C4×Q8—1221no—
1324C4×Q8—1221no—
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—611no—
1328C4×D4—611no—
1329C4×D4—611no—
1330C4×D4—611no—
1331C4×D4—1221no—
1332C4×D4—1221no—
1333C4×D4—1221no—
1334C4×D4—1221no—
1335C4×D4—1221no—
1336C4×D4—1221no—
1337C4×D4—1221no—
1338C4×D4—1221no—
1339C4×D4—1221no—
1340C4×D4—1221no—
1341C4×D4—1221no—
1342C4×D4—1221no—
1343C4×D4—1221no—
1344C4×D4—1221no—
1345C4×D4—1221no—
1346C4×D4—1221no—
1347#117—611no—
1348#117—611no—
1349#117—611no—
1350#117—611no—
1351#117—611no—
1352#117—611no—
1353#117—611no—
1354#117—611no—
1355#117—611no—
1356#117—1221no—
1357#117—1221no—
1358#117C22×D6111yescharacteristic
1359C2×C4⋊C4—611no—
1360C2×C4⋊C4—611no—
1361C2×C22⋊C4—611no—
1362C2×C22⋊C4—611no—
1363C2×C42—611no—
1364C2×C42—611no—
1365C2×C42—1221no—
1366C2×C42—1221no—
1367C4⋊C8—611no—
1368C4⋊C8—611no—
1369C4⋊C8—611no—
1370C4⋊C8—611no—
1371C4⋊C8—611no—
1372C4⋊C8—611no—
1373C4⋊C8—611no—
1374C4⋊C8—611no—
1375#103—611no—
1376#103—611no—
1377#103—611no—
1378#103—611no—
1379#103—611no—
1380#103—611no—
1381#103—611no—
1382#103—611no—
1383#103—611no—
1384#103—611no—
1385#103—611no—
1386#103—611no—
1387#103C22×D6111yescharacteristic
1388#103C22×D6111yescharacteristic
1389#103C22×D6111yescharacteristic
1390#103C22×D6111yescharacteristic
1391#102—611no—
1392#102—611no—
1393#102—611no—
1394#102—611no—
1395#102—611no—
1396#102—611no—
1397#102—611no—
1398#102—611no—
1399#102—611no—
1400#102—611no—
1401#102—611no—
1402#102—611no—
1403#102C22×D6111yescharacteristic
1404#102C22×D6111yescharacteristic
1405#102C22×D6111yescharacteristic
1406#102C22×D6111yescharacteristic
1407C22⋊C8—611no—
1408C22⋊C8—611no—
1409C22⋊C8—611no—
1410C22⋊C8—611no—
1411C22⋊C8C22×D6111yescharacteristic
1412C22⋊C8C22×D6111yescharacteristic
1413C22⋊C8C22×D6111yescharacteristic
1414C22⋊C8C22×D6111yescharacteristic
1415#97—611no—
1416#97—611no—
1417#97—611no—
1418#97—611no—
1419C4×C8—611no—
1420C4×C8—611no—
1421C4×C8—611no—
1422C4×C8—611no—
1423C24—21no—
1424C24—1221no—
1425C24D4×D6111yescharacteristic
1426#41—22no—
1427#41—22no—
1428#41—22no—
1429#41—22no—
1430#41—22no—
1431#41—22no—
1432#41—41no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—44no—
1437#41—44no—
1438#41—1222no—
1439#41—1222no—
1440#41—1222no—
1441#41—1222no—
1442#41—1222no—
1443#41—1222no—
1444#41—2441no—
1445#41—2441no—
1446#41—2441no—
1447#41—2441no—
1448#41—2444no—
1449#41—2444no—
1450C2×Q8—21no—
1451C2×Q8—41no—
1452C2×Q8—41no—
1453C2×Q8—611no—
1454C2×Q8—611no—
1455C2×Q8—611no—
1456C2×Q8—1221no—
1457C2×Q8—1221no—
1458C2×Q8—1221no—
1459C2×Q8—2441no—
1460C2×Q8—2441no—
1461C2×Q8C23×D6111yescharacteristic
1462C2×Q8C23×D6111yescharacteristic
1463C2×Q8C23×D6111yescharacteristic
1464C2×D4—21no—
1465C2×D4—21no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—41no—
1473C2×D4—41no—
1474C2×D4—44no—
1475C2×D4—611no—
1476C2×D4—611no—
1477C2×D4—611no—
1478C2×D4—1221no—
1479C2×D4—1221no—
1480C2×D4—1221no—
1481C2×D4—1221no—
1482C2×D4—1221no—
1483C2×D4—1221no—
1484C2×D4—1221no—
1485C2×D4—1221no—
1486C2×D4—1221no—
1487C2×D4—1221no—
1488C2×D4—1221no—
1489C2×D4—1221no—
1490C2×D4—1221no—
1491C2×D4—1221no—
1492C2×D4—1221no—
1493C2×D4—1221no—
1494C2×D4—1221no—
1495C2×D4—1221no—
1496C2×D4—2441no—
1497C2×D4—2441no—
1498C2×D4—2444no—
1499C2×D4C23×D6111yescharacteristic
1500C2×D4C23×D6111yescharacteristic
1501C2×D4C23×D6111yescharacteristic
1502C22×C4—22no—
1503C22×C4—22no—
1504C22×C4—21no—
1505C22×C4—21no—
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—44no—
1511C22×C4—611no—
1512C22×C4—611no—
1513C22×C4—611no—
1514C22×C4—611no—
1515C22×C4—1221no—
1516C22×C4—1221no—
1517C22×C4—1221no—
1518C22×C4—1221no—
1519C22×C4—1221no—
1520C22×C4—1221no—
1521C22×C4—1221no—
1522C22×C4—1221no—
1523C22×C4—1221no—
1524C22×C4—1221no—
1525C22×C4—2444no—
1526C22×C4D4×D6111yescharacteristic
1527C22×C4D4×D6111yescharacteristic
1528C22×C4D4×D6111yescharacteristic
1529C22×C4C23×D6111yescharacteristic
1530C22×C4C23×D6111yescharacteristic
1531C22×C4C23×D6111yescharacteristic
1532Q16—41no—
1533Q16—41no—
1534Q16—2441no—
1535Q16—2441no—
1536Q16—2441no—
1537Q16—2441no—
1538Q16—2441no—
1539Q16—2441no—
1540SD16—41no—
1541SD16—41no—
1542SD16—41no—
1543SD16—41no—
1544SD16—2441no—
1545SD16—2441no—
1546SD16—2441no—
1547SD16—2441no—
1548SD16—2441no—
1549SD16—2441no—
1550SD16—2441no—
1551SD16—2441no—
1552SD16—2441no—
1553SD16—2441no—
1554SD16—2441no—
1555SD16—2441no—
1556D8—41no—
1557D8—41no—
1558D8—2441no—
1559D8—2441no—
1560D8—2441no—
1561D8—2441no—
1562D8—2441no—
1563D8—2441no—
1564C2×C8—22no—
1565C2×C8—22no—
1566C2×C8—611no—
1567C2×C8—611no—
1568C2×C8—611no—
1569C2×C8—611no—
1570C2×C8—1222no—
1571C2×C8—1222no—
1572C2×C8C23×D6111yescharacteristic
1573C2×C8C23×D6111yescharacteristic
1574C2×C8C23×D6111yescharacteristic
1575C2×C8C23×D6111yescharacteristic
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—611no—
1579C4⋊C4—611no—
1580C4⋊C4—611no—
1581C4⋊C4—611no—
1582C4⋊C4—611no—
1583C4⋊C4—611no—
1584C4⋊C4—611no—
1585C4⋊C4—611no—
1586C4⋊C4—611no—
1587C4⋊C4—611no—
1588C4⋊C4—1221no—
1589C4⋊C4—1221no—
1590C4⋊C4—1221no—
1591C4⋊C4—1221no—
1592C4⋊C4—1221no—
1593C4⋊C4—1221no—
1594C4⋊C4—1221no—
1595C4⋊C4—1221no—
1596C4⋊C4—1221no—
1597C4⋊C4—1221no—
1598C4⋊C4—1221no—
1599C4⋊C4—1221no—
1600C4⋊C4—1221no—
1601C4⋊C4—1221no—
1602C4⋊C4—1221no—
1603C4⋊C4—1221no—
1604C4⋊C4—1221no—
1605C4⋊C4—1221no—
1606C4⋊C4—1221no—
1607C4⋊C4—1221no—
1608C4⋊C4—1221no—
1609C4⋊C4—1221no—
1610C4⋊C4C23×D6111yescharacteristic
1611C4⋊C4C23×D6111yescharacteristic
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—611no—
1618C22⋊C4—611no—
1619C22⋊C4—611no—
1620C22⋊C4—611no—
1621C22⋊C4—611no—
1622C22⋊C4—611no—
1623C22⋊C4—611no—
1624C22⋊C4—611no—
1625C22⋊C4—1221no—
1626C22⋊C4—1221no—
1627C22⋊C4—1221no—
1628C22⋊C4—1221no—
1629C22⋊C4—1221no—
1630C22⋊C4—1221no—
1631C22⋊C4—1221no—
1632C22⋊C4—1221no—
1633C22⋊C4—1221no—
1634C22⋊C4—1221no—
1635C22⋊C4—1221no—
1636C22⋊C4—1221no—
1637C22⋊C4—1221no—
1638C22⋊C4—1221no—
1639C22⋊C4—1221no—
1640C22⋊C4—1221no—
1641C22⋊C4—1221no—
1642C22⋊C4—1221no—
1643C22⋊C4—1221no—
1644C22⋊C4—1221no—
1645C22⋊C4—1221no—
1646C22⋊C4—1221no—
1647C22⋊C4—1221no—
1648C22⋊C4—1221no—
1649C22⋊C4—1221no—
1650C22⋊C4—1221no—
1651C22⋊C4—1221no—
1652C22⋊C4—1221no—
1653C22⋊C4—1221no—
1654C42—21no—
1655C42—611no—
1656C42—611no—
1657C42—611no—
1658C42—611no—
1659C42—611no—
1660C42—611no—
1661C42—611no—
1662C42—611no—
1663C42—1221no—
1664C42—1221no—
1665C42—1221no—
1666C42—1221no—
1667C42—1221no—
1668C23—22no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—41no—
1673C23—41no—
1674C23—42no—
1675C23—81no—
1676C23—81no—
1677C23—1221no—
1678C23—1221no—
1679C23—1221no—
1680C23—4881no—
1681C23—4881no—
1682C23—2442no—
1683C23C2×D4×D6111yescharacteristic
1684C23C2×D4×D6111yescharacteristic
1685C23C2×D4×D6111yescharacteristic
1686Q8—21no—
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—42no—
1693Q8—1221no—
1694Q8—1221no—
1695Q8—1221no—
1696Q8—1221no—
1697Q8—1221no—
1698Q8—1221no—
1699Q8—4881no—
1700Q8—4881no—
1701Q8—2442no—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—21no—
1707D4—21no—
1708D4—42no—
1709D4—42no—
1710D4—42no—
1711D4—42no—
1712D4—42no—
1713D4—42no—
1714D4—81no—
1715D4—81no—
1716D4—1221no—
1717D4—1221no—
1718D4—1221no—
1719D4—1221no—
1720D4—1221no—
1721D4—1221no—
1722D4—4881no—
1723D4—4881no—
1724D4—4881no—
1725D4—4881no—
1726D4—4881no—
1727D4—4881no—
1728D4—4881no—
1729D4—4881no—
1730D4—4881no—
1731D4—4881no—
1732D4—4881no—
1733D4—4881no—
1734D4—2442no—
1735D4—2442no—
1736D4—2442no—
1737D4—2442no—
1738D4—2442no—
1739D4—2442no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—42no—
1753C2×C4—42no—
1754C2×C4—42no—
1755C2×C4—42no—
1756C2×C4—42no—
1757C2×C4—42no—
1758C2×C4—611no—
1759C2×C4—611no—
1760C2×C4—611no—
1761C2×C4—611no—
1762C2×C4—611no—
1763C2×C4—611no—
1764C2×C4—611no—
1765C2×C4—611no—
1766C2×C4—1221no—
1767C2×C4—1221no—
1768C2×C4—1221no—
1769C2×C4—1221no—
1770C2×C4—1221no—
1771C2×C4—4881no—
1772C2×C4—4881no—
1773C2×C4—4881no—
1774C2×C4—4881no—
1775C2×C4—2442no—
1776C2×C4—2442no—
1777C2×C4—2441no—
1778C2×C4—2441no—
1779C2×C4—2441no—
1780C2×C4—2441no—
1781C2×C4—2442no—
1782C2×C4—2442no—
1783C2×C4—2442no—
1784C2×C4—2442no—
1785C2×C4C2×D4×D6111yescharacteristic
1786C2×C4C2×D4×D6111yescharacteristic
1787C2×C4C2×D4×D6111yescharacteristic
1788C2×C4#1451982212yes—
1789C2×C4#1451982212yes—
1790C2×C4C24×D6111yescharacteristic
1791C8—21no—
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—1221no—
1796C8—1221no—
1797C8—1221no—
1798C8—1221no—
1799C22—21no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—82no—
1817C22—84no—
1818C22—4884no—
1819C22—2441no—
1820C22—2441no—
1821C22—2441no—
1822C22—2441no—
1823C22—2441no—
1824C22—2441no—
1825C22—2441no—
1826C22—2441no—
1827C22—2441no—
1828C22#1684032712yes—
1829C22C22×D4×D6111yescharacteristic
1830C4—21no—
1831C4—21no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C4—1221no—
1838C4—1221no—
1839C4—1221no—
1840C4—1221no—
1841C4—1221no—
1842C4—1221no—
1843C4—1221no—
1844C4—1221no—
1845C4—2441no—
1846C4—2441no—
1847C4—2441no—
1848C4—2441no—
1849C4—2441no—
1850C4#1684032712yes—
1851C4C2×#1451982211yescharacteristic
1852C4C2×#1451982211yescharacteristic
1853C2—22no—
1854C2—41no—
1855C2—41no—
1856C2—81no—
1857C2—81no—
1858C2—81no—
1859C2—4881no—
1860C2—4881no—
1861C2—4881no—
1862C2C2×#1684032711yescharacteristic
1863C2#2146058811yescharacteristic
1864C2#2146059211yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3002C2
socleC22×C61C23×D4
hypercenter#3002D61
hypocenterC61#60797
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #3002

Complements

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

NH ≅ G/Ntype
1. #21459207C2semidirect
2. #21459148C2semidirect
3. #21456934C2semidirect
4. #21456932C2semidirect
5. #21456926C2semidirect
6. #21456924C2semidirect
7. #21456919C2semidirect
8. #21456917C2semidirect
9. #21456911C2semidirect
10. #21456909C2semidirect
11. #21456900C2semidirect
12. #21456898C2semidirect
13. #21456889C2semidirect
14. #21456887C2semidirect
15. #21456878C2semidirect
16. #21456876C2semidirect
17. #21456867C2semidirect
18. #21456865C2semidirect
19. #21456262C2semidirect
20. #21456243C2semidirect
21. #21456162C2semidirect
22. #21456139C2semidirect
23. #21455272C2semidirect
24. #21455272C2semidirect
25. #21455270C2semidirect
26. #21455270C2semidirect
27. #21455041C2semidirect
28. #21455037C2semidirect
29. #21455035C2semidirect
30. C2×#16839820C2semidirect
31. C61×#3002C2semidirect
33. C2×#14519799C22semidirect
34. C2×#14519799C22semidirect
35. C2×#14519797C22semidirect
36. C2×#14519797C22semidirect
37. C2×#14519797C22semidirect
38. C2×#14519797C22semidirect
39. #16840385C22semidirect
40. #16840385C22semidirect
41. #16840379C22semidirect
42. #16840379C22semidirect
43. #16840372C22semidirect
44. #16840372C22semidirect
45. #16840365C22semidirect
46. #16840365C22semidirect
63. #16840315C22semidirect
68. #16840308C22semidirect
78. #41×Dic61C22semidirect
79. #16840230C22semidirect
81. #16840155C22semidirect
82. #16840155C22semidirect
83. #16840153C22semidirect
84. #16840153C22semidirect
85. #16840150C22semidirect
86. #16840150C22semidirect
87. #16840148C22semidirect
88. #16840148C22semidirect
89. #16840147C22semidirect
90. #16840145C22semidirect
91. #16840143C22semidirect
92. #16840143C22semidirect
93. #16840140C22semidirect
94. #16840137C22semidirect
95. #16840133C22semidirect
96. #16840133C22semidirect
97. #16840129C22semidirect
98. #16840129C22semidirect
99. #16840125C22semidirect
100. #16840125C22semidirect
101. #16840123C22semidirect
102. #16840123C22semidirect
103. #16840120C22semidirect
104. #16840120C22semidirect
105. #16840118C22semidirect
106. #16840118C22semidirect
107. #16840115C22semidirect
108. #16840115C22semidirect
109. #16840111C22semidirect
110. #16840111C22semidirect
111. #16840107C22semidirect
112. #16840107C22semidirect
113. #16839987C22semidirect
114. #16839987C22semidirect
115. #16839986C22semidirect
116. #16839986C22semidirect
117. #16839983C22semidirect
118. #16839983C22semidirect
119. #16839982C22semidirect
120. #16839982C22semidirect
121. #16839980C22semidirect
122. #16839980C22semidirect
123. #16839979C22semidirect
124. #16839979C22semidirect
125. #16839976C22semidirect
126. #16839976C22semidirect
127. #16839975C22semidirect
128. #16839975C22semidirect
129. #16839971C22semidirect
130. #16839971C22semidirect
131. #16839970C22semidirect
132. #16839970C22semidirect
133. #16839966C22semidirect
134. #16839966C22semidirect
135. #16839965C22semidirect
136. #16839965C22semidirect
137. #16839961C22semidirect
138. #16839961C22semidirect
139. #16839960C22semidirect
140. #16839960C22semidirect
141. #16839956C22semidirect
142. #16839956C22semidirect
143. #16839955C22semidirect
144. #16839955C22semidirect
151. #16839920C22semidirect
152. #16839918C22semidirect
153. #16839917C22semidirect
154. #16839915C22semidirect
155. #16839913C22semidirect
156. #16839912C22semidirect
163. #16839903C22semidirect
164. #16839901C22semidirect
165. #16839900C22semidirect
166. #16839898C22semidirect
167. #16839896C22semidirect
168. #16839895C22semidirect
169. #16839820C22semidirect
170. #16839820C22semidirect
171. #16839820C22semidirect
172. #16839820C22semidirect
173. #16839820C22semidirect
174. #16839820C22semidirect
175. #16839820C22semidirect
176. #16839820C22semidirect
177. C2×#14519706C22semidirect
178. C2×#14519706C22semidirect
179. #16839759C22semidirect
180. #16839759C22semidirect
181. #16839758C22semidirect
182. #16839758C22semidirect
183. #16839756C22semidirect
184. #16839756C22semidirect
186. C2×#14519687C22semidirect
187. C2×C8×Dic61C22semidirect
189. C2×#135×C61C22semidirect
190. C2×#135×C61C22semidirect
194. C61×#451C22semidirect
195. C61×#450C22semidirect
198. C61×#448C22semidirect
199. C61×#447C22semidirect
200. C61×#416C22semidirect
201. C61×#416C22semidirect
950. #3002D61semidirect
972. C2×#135C2×D61semidirect
973. C2×#135C2×D61semidirect
1092. #451C2×D61semidirect
1096. #450C2×D61semidirect
1108. #448C2×D61semidirect
1112. #447C2×D61semidirect
1129. #416C2×D61semidirect
1130. #416C2×D61semidirect
1135. C61#60797semidirect

Maximal subgroups

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

subgroupindex
#214592072
#214591482
#214569342
#214569322
#214569262
#214569242
#214569192
#214569172
#214569112
#214569092
#214569002
#214568982
#214568892
#214568872
#214568782
#214568762
#214568672
#214568652
#214562622
#214562432
#214561622
#214561392
#214552722
#214552702
#214550412
#214550372
#214550352
C2×#168398202
C61×#30022
#6079761