Finite Group Databasebeta

← #30566094

Subgroups — #30566094

Order 15616.

2350 conjugacy classes of subgroups.

The subgroup lattice has 2026 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460050C211yesmaximal, characteristic, complemented
2#21459447C211yesmaximal, characteristic, complemented
3#21457967C211yesmaximal, characteristic, complemented
4#21457966C211yesmaximal, characteristic, complemented
5#21457960C211yesmaximal, characteristic, complemented
6#21457953C211yesmaximal, characteristic, complemented
7#21457674C211yesmaximal, characteristic, complemented
8#21457673C211yesmaximal, characteristic, complemented
9#21457671C211yesmaximal, characteristic, complemented
10#21457664C211yesmaximal, characteristic, complemented
11#21457494C211yesmaximal, characteristic, complemented
12D8×C22⋊D61C211yesmaximal, characteristic, complemented
13#21457489C211yesmaximal, characteristic, complemented
14#21457299C211yesmaximal, characteristic, complemented
15#21457297C211yesmaximal, characteristic, complemented
16#21457295C211yesmaximal, characteristic, complemented
17#21457294C211yesmaximal, characteristic, complemented
18#21456868C211yesmaximal, characteristic, complemented
19#21456862C211yesmaximal, characteristic, complemented
20#21456682C211yesmaximal, characteristic, complemented
21#21456679C211yesmaximal, characteristic, complemented
22#21456581C211yesmaximal, characteristic, complemented
23#21456579C211yesmaximal, characteristic, complemented
24#21456060C211yesmaximal, characteristic, complemented
25#21456059C211yesmaximal, characteristic, complemented
26#21455083C211yesmaximal, characteristic, complemented
27#21455082C211yesmaximal, characteristic, complemented
28C2×#16839894C211yesmaximal, characteristic, complemented
29#447×D61C211yesmaximal, characteristic, complemented
30#21454872C211yesmaximal, characteristic, complemented
31D4×D8×C61C211yesmaximal, characteristic, complemented
32C2×#14519822C2211yescharacteristic, complemented
33C22×D4×D61C2211yescharacteristic, complemented
34C2×#14519803C2211yescharacteristic, complemented
35C2×#14519801C2211yescharacteristic, complemented
36C22×#11758199C2211yescharacteristic, complemented
37C2×D8×D61C2211yescharacteristic, complemented
38C2×D8×D61C2211yescharacteristic, complemented
39C2×D8×D61C2211yescharacteristic, complemented
40#16840501—21no—
41#16840500—21no—
42#16840464C2211yescharacteristic, complemented
43#16840462C2211yescharacteristic, complemented
44#16840459C2211yescharacteristic, complemented
45#16840458C2211yescharacteristic, complemented
46#16840409C2211yescharacteristic, complemented
47#16840408C2211yescharacteristic, complemented
48#16840407C2211yescharacteristic, complemented
49#16840406C2211yescharacteristic, complemented
50#16840401—21no—
51#16840399—21no—
52#16840397C2211yescharacteristic, complemented
53#16840397C2211yescharacteristic, complemented
54#16840396C2211yescharacteristic, complemented
55D4×C22⋊D61—21no—
56D4×C22⋊D61—21no—
57D4×C22⋊D61C2211yescharacteristic, complemented
58D4×C22⋊D61C2211yescharacteristic, complemented
59D4×C22⋊D61C2211yescharacteristic, complemented
60#16840394—21no—
61#16840394—21no—
62#16840366C2211yescharacteristic, complemented
63#16840363C2211yescharacteristic, complemented
64#16840347—21no—
65#16840344—21no—
66#16840329C2211yescharacteristic, complemented
67#16840328C2211yescharacteristic, complemented
68#16840328C2211yescharacteristic, complemented
69#16840325C2211yescharacteristic, complemented
70#16840322—21no—
71#16840322—21no—
72#16840321—21no—
73#16840320—21no—
74#16840272C2211yescharacteristic, complemented
75#16840271C2211yescharacteristic
76C2×#14519748C2211yescharacteristic, complemented
77#121×D61C2211yescharacteristic, complemented
78C2×#14519745—21no—
79#120×D61—21no—
80#16840234C2211yescharacteristic, complemented
81#16840150C2211yescharacteristic, complemented
82#16840149C2211yescharacteristic, complemented
83#16840137C2211yescharacteristic, complemented
84#16840126C2211yescharacteristic, complemented
85#16840125C2211yescharacteristic, complemented
86#16840117C2211yescharacteristic, complemented
87#16840115C2211yescharacteristic, complemented
88#16840099C2211yescharacteristic, complemented
89#16840098C2211yescharacteristic, complemented
90#16840089C2211yescharacteristic, complemented
91#16840089C2211yescharacteristic, complemented
92#16840087C2211yescharacteristic, complemented
93#16840085C2211yescharacteristic, complemented
94#16840084C2211yescharacteristic, complemented
95#16840084C2211yescharacteristic, complemented
96#16840084C2211yescharacteristic, complemented
97#16840083C2211yescharacteristic, complemented
98#16840079C2211yescharacteristic, complemented
99#16840078C2211yescharacteristic, complemented
100#16840065C2211yescharacteristic, complemented
101#16840063C2211yescharacteristic, complemented
102#16840062C2211yescharacteristic, complemented
103#16840060C2211yescharacteristic, complemented
104#16840014C2211yescharacteristic, complemented
105#16840013C2211yescharacteristic, complemented
106#16840013C2211yescharacteristic, complemented
107#16840012C2211yescharacteristic, complemented
108#16839998C2211yescharacteristic, complemented
109#16839997C2211yescharacteristic, complemented
110#16839996C2211yescharacteristic, complemented
111#16839995C2211yescharacteristic, complemented
112#16839995C2211yescharacteristic, complemented
113#16839995C2211yescharacteristic, complemented
114#16839991C2211yescharacteristic, complemented
115#16839990C2211yescharacteristic, complemented
116#16839990C2211yescharacteristic, complemented
117#16839989C2211yescharacteristic, complemented
118#16839978C2211yescharacteristic, complemented
119#16839977C2211yescharacteristic, complemented
120#16839975C2211yescharacteristic, complemented
121#16839975C2211yescharacteristic, complemented
122#16839956C2211yescharacteristic, complemented
123#16839955C2211yescharacteristic, complemented
124#16839955C2211yescharacteristic, complemented
125#16839955C2211yescharacteristic, complemented
126#16839954C2211yescharacteristic, complemented
127#16839954C2211yescharacteristic, complemented
128#16839914C2211yescharacteristic, complemented
129#16839913C2211yescharacteristic, complemented
130#16839909C2211yescharacteristic, complemented
131#16839908C2211yescharacteristic, complemented
132#16839905C2211yescharacteristic, complemented
133#16839904C2211yescharacteristic, complemented
134#16839904C2211yescharacteristic, complemented
135#16839904C2211yescharacteristic, complemented
136#16839904C2211yescharacteristic, complemented
137#16839904C2211yescharacteristic, complemented
138#16839898C2211yescharacteristic, complemented
139#16839897C2211yescharacteristic, complemented
140#16839897C2211yescharacteristic, complemented
141#16839897C2211yescharacteristic, complemented
142#16839896C2211yescharacteristic, complemented
143#16839896C2211yescharacteristic, complemented
144#16839896C2211yescharacteristic, complemented
145#16839895C2211yescharacteristic, complemented
146#16839894C2211yescharacteristic, complemented
147#16839894C2211yescharacteristic, complemented
148#16839894C2211yescharacteristic, complemented
149#16839894C2211yescharacteristic, complemented
150#16839894C2211yescharacteristic, complemented
151#16839894C2211yescharacteristic, complemented
152#16839894C2211yescharacteristic, complemented
153#16839894C2211yescharacteristic, complemented
154#16839894C2211yescharacteristic, complemented
155#16839894C2211yescharacteristic, complemented
156#16839894C2211yescharacteristic, complemented
157#16839894C2211yescharacteristic, complemented
158#16839894C2211yescharacteristic, complemented
159#16839894C2211yescharacteristic, complemented
160#16839874C2211yescharacteristic, complemented
161#16839872C2211yescharacteristic, complemented
162#16839872C2211yescharacteristic, complemented
163#16839871C2211yescharacteristic, complemented
164C4×D488C2211yescharacteristic, complemented
165D8×Dic61C2211yescharacteristic, complemented
166#16839842C2211yescharacteristic, complemented
167#16839836C2211yescharacteristic, complemented
168#16839834C2211yescharacteristic, complemented
169#16839833C2211yescharacteristic, complemented
170#16839832C2211yescharacteristic, complemented
171C8×D244C2211yescharacteristic, complemented
172C8×C22⋊D61C2211yescharacteristic, complemented
173#16839825C2211yescharacteristic, complemented
174#16839822C2211yescharacteristic, complemented
175#16839821C2211yescharacteristic, complemented
176#16839767C2211yescharacteristic, complemented
177#16839765C2211yescharacteristic, complemented
178#16839759C2211yescharacteristic, complemented
179#16839755C2211yescharacteristic, complemented
180C2×#14519699C2211yescharacteristic, complemented
181C2×#14519698C2211yescharacteristic, complemented
182#102×D61C2211yescharacteristic, complemented
183#102×D61C2211yescharacteristic, complemented
184#16839728C2211yescharacteristic, complemented
185#16839727C2211yescharacteristic, complemented
186C2×#14519689C2211yescharacteristic, complemented
187C22⋊C8×D61C2211yescharacteristic, complemented
188C22×D8×C61C2211yescharacteristic, complemented
189C22×D8×C61C2211yescharacteristic, complemented
190D42×C61C2211yescharacteristic, complemented
191D42×C61C2211yescharacteristic, complemented
192C61×#493C2211yescharacteristic, complemented
193C61×#466C2211yescharacteristic, complemented
194C61×#466C2211yescharacteristic, complemented
195C61×#459C2211yescharacteristic, complemented
196C61×#459C2211yescharacteristic, complemented
197C61×#447C2211yescharacteristic, complemented
198C61×#447C2211yescharacteristic, complemented
199C61×#447C2211yescharacteristic, complemented
200C61×#447C2211yescharacteristic, complemented
201C4×D8×C61C2211yescharacteristic, complemented
202C8×D4×C61C2211yescharacteristic, complemented
203C24×D61—21no—
204#14519822—42no—
205#14519822—42no—
206C2×#11758222C2311yescharacteristic
207C2×#11758222C2311yescharacteristic
208C2×#11758224—21no—
209C2×#11758224C2311yescharacteristic
210C2×#11758224C2311yescharacteristic
211C22×D244C2311yescharacteristic
212C22×C22⋊D61—21no—
213C22×C22⋊D61—21no—
214C22×C22⋊D61—21no—
215C22×C22⋊D61—21no—
216C22×C22⋊D61—21no—
217C22×C22⋊D61—21no—
218C22×C22⋊D61—21no—
219C2×D4×D61—21no—
220C2×D4×D61—21no—
221C2×D4×D61—21no—
222C2×D4×D61—21no—
223C2×D4×D61—21no—
224C2×D4×D61—21no—
225C2×D4×D61—21no—
226C2×D4×D61—42no—
227C2×D4×D61—42no—
228C2×D4×D61C2311yescharacteristic
229C2×D4×D61C2311yescharacteristic
230C2×D4×D61C2311yescharacteristic
231C2×D4×D61C2311yescharacteristic
232C2×D4×D61C2311yescharacteristic
233C2×D4×D61C2311yescharacteristic
234C2×D4×D61C2311yescharacteristic, complemented
235C22×C4×D61C2311yescharacteristic
236#14519803—42no—
237#14519801—42no—
238C2×#11758190C2311yescharacteristic, complemented
239C2×#11758200C2311yescharacteristic, complemented
240C2×#11758200C2311yescharacteristic, complemented
241C2×#11758200C2311yescharacteristic, complemented
242C2×D488C2311yescharacteristic
243C2×D488C2311yescharacteristic
244C2×#11758199—42no—
245C2×#11758199C2311yescharacteristic
246C2×#11758199C2311yescharacteristic
247C2×#11758199C2311yescharacteristic
248C2×#11758199C2311yescharacteristic
249C2×#11758199C2311yescharacteristic
250C2×#11758199C2311yescharacteristic
251C2×#11758199C2311yescharacteristic
252C2×#11758199C2311yescharacteristic
253C2×#11758199C2311yescharacteristic, complemented
254D8×D61—42no—
255D8×D61—42no—
256D8×D61—42no—
257C2×#11758194C2311yescharacteristic, complemented
258C2×#11758189C2311yescharacteristic, complemented
259C22×#92418C2311yescharacteristic
260C2×C8×D61C2311yescharacteristic
261C2×C8×D61C2311yescharacteristic
262C2×C8×D61C2311yescharacteristic, complemented
263#14519773—21no—
264#14519773—21no—
265#14519773—21no—
266#14519773C2311yescharacteristic
267#14519773C2311yescharacteristic, complemented
268#14519772—21no—
269#14519770—21no—
270#14519770—21no—
271#14519770—21no—
272#14519769C2311yescharacteristic, complemented
273#14519768C2311yescharacteristic, complemented
274#14519765C2311yescharacteristic
275#14519764—21no—
276#14519764C2311yescharacteristic
277#14519763—21no—
278#14519763—21no—
279#14519762—21no—
280#14519762D411yescharacteristic
281#14519761—21no—
282#14519761—21no—
283#14519760—21no—
284#14519760—21no—
285#14519759—21no—
286#14519759—21no—
287#14519759—21no—
288#14519759—21no—
289#14519759D411yescharacteristic
290#14519758—21no—
291#14519758—21no—
292#14519758—21no—
293#14519758—21no—
294#14519757C2311yescharacteristic
295#14519756C2311yescharacteristic
296#14519755D411yescharacteristic
297#14519754D411yescharacteristic
298#14519752C2311yescharacteristic
299#14519752C2311yescharacteristic
300#14519751—21no—
301#14519751—21no—
302#14519751C2311yescharacteristic
303#14519751C2311yescharacteristic
304#14519751C2311yescharacteristic, complemented
305#14519750—21no—
306#14519750—21no—
307#14519750—21no—
308#14519750—21no—
309#14519750—21no—
310#14519750D411yescharacteristic
311#14519749—21no—
312#14519749—21no—
313#14519749—21no—
314#14519749—21no—
315#14519749—21no—
316#14519749—21no—
317#14519749—21no—
318#14519749—21no—
319#14519749—21no—
320#14519749—21no—
321#14519749—21no—
322#14519749D411yescharacteristic
323#14519748—21no—
324#14519748—21no—
325#14519748—21no—
326#14519748—21no—
327#14519748—21no—
328#14519748—21no—
329#14519748C2311yescharacteristic
330#14519748C2311yescharacteristic
331#14519748C2311yescharacteristic
332#14519748C2311yescharacteristic
333#14519748C2311yescharacteristic
334#14519748C2311yescharacteristic
335#14519748C2311yescharacteristic
336#14519748C2311yescharacteristic, complemented
337#14519748C2311yescharacteristic, complemented
338#14519747—21no—
339#14519747—21no—
340#14519747—21no—
341#14519747—21no—
342#14519747D411yescharacteristic
343#14519746—21no—
344#14519746—21no—
345#14519746—21no—
346#14519746—21no—
347#14519746—21no—
348#14519746—21no—
349#14519745—21no—
350#14519745—21no—
351#14519745—21no—
352#14519745—21no—
353#14519745—21no—
354#14519745—21no—
355#14519745—21no—
356#14519745—21no—
357#14519745—21no—
358#14519745—21no—
359#14519745—21no—
360#14519745—21no—
361#14519745—21no—
362#14519745—21no—
363#14519745—21no—
364#14519745D411yescharacteristic
365C4×D244C2311yescharacteristic
366C4×D244C2311yescharacteristic
367C4×D244C2311yescharacteristic, complemented
368D4×Dic61—21no—
369D4×Dic61—21no—
370D4×Dic61C2311yescharacteristic
371D4×Dic61C2311yescharacteristic, complemented
372D4×Dic61C2311yescharacteristic, complemented
373#14519739C2311yescharacteristic
374C4×C22⋊D61—21no—
375C4×C22⋊D61—21no—
376C4×C22⋊D61C2311yescharacteristic
377C4×C22⋊D61C2311yescharacteristic
378#14519737—21no—
379#14519737—21no—
380#14519737—21no—
381#14519737—21no—
382#14519736C2311yescharacteristic, complemented
383#14519735C2311yescharacteristic
384#14519735C2311yescharacteristic, complemented
385#14519734C2311yescharacteristic
386C2×C4⋊Dic61C2311yescharacteristic
387C4⋊C4×D61C2311yescharacteristic
388C2×C22⋊Dic61—21no—
389C2×C22⋊Dic61—21no—
390C2×#11758198—21no—
391C2×#11758198—21no—
392C22⋊C4×D61—21no—
393C22⋊C4×D61—21no—
394C22⋊C4×D61—21no—
395C22⋊C4×D61—21no—
396#14519711C2311yescharacteristic, complemented
397#14519711C2311yescharacteristic, complemented
398#14519710C2311yescharacteristic, complemented
399#14519709C2311yescharacteristic, complemented
400#14519708C2311yescharacteristic, complemented
401#14519708C2311yescharacteristic, complemented
402#14519708C2311yescharacteristic, complemented
403C4⋊#92418C2311yescharacteristic, complemented
404#14519706C2311yescharacteristic, complemented
405#14519706C2311yescharacteristic, complemented
406#14519702C2311yescharacteristic, complemented
407#14519702C2311yescharacteristic, complemented
408#14519702C2311yescharacteristic, complemented
409#14519700C2311yescharacteristic, complemented
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic, complemented
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic, complemented
424#14519698C2311yescharacteristic, complemented
425#14519698C2311yescharacteristic, complemented
426#14519698C2311yescharacteristic, complemented
427#14519698C2311yescharacteristic, complemented
428#14519698C2311yescharacteristic, complemented
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic, complemented
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic, complemented
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic, complemented
441#14519689C2311yescharacteristic, complemented
442#14519688C2311yescharacteristic, complemented
443#14519687C2311yescharacteristic, complemented
444C8×Dic61C2311yescharacteristic, complemented
445C22×D4×C61—21no—
446C22×D4×C61—21no—
447C22×D4×C61C2311yescharacteristic
448C22×D4×C61C2311yescharacteristic
449C22×D4×C61C2311yescharacteristic
450C22×D4×C61C2311yescharacteristic, complemented
451C2×D8×C61—42no—
452C2×D8×C61—42no—
453C2×D8×C61C2311yescharacteristic
454C2×D8×C61C2311yescharacteristic
455C2×D8×C61C2311yescharacteristic
456C2×D8×C61C2311yescharacteristic
457C2×D8×C61C2311yescharacteristic
458C2×D8×C61C2311yescharacteristic
459C2×D8×C61C2311yescharacteristic, complemented
460C2×D8×C61C2311yescharacteristic, complemented
461C2×D8×C61C2311yescharacteristic, complemented
462C22×C8×C61C2311yescharacteristic
463C22×C8×C61C2311yescharacteristic, complemented
464#127×C61C2311yescharacteristic
465#127×C61C2311yescharacteristic, complemented
466#121×C61—21no—
467#121×C61—21no—
468#121×C61C2311yescharacteristic
469#121×C61C2311yescharacteristic
470#121×C61C2311yescharacteristic
471#121×C61C2311yescharacteristic, complemented
472#120×C61—21no—
473#120×C61—21no—
474#120×C61—21no—
475#120×C61—21no—
476C4×D4×C61C2311yescharacteristic
477C4×D4×C61C2311yescharacteristic
478C4×D4×C61C2311yescharacteristic, complemented
479#107×C61C2311yescharacteristic, complemented
480C4⋊C8×C61C2311yescharacteristic, complemented
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic, complemented
484#102×C61C2311yescharacteristic, complemented
485#102×C61C2311yescharacteristic, complemented
486#102×C61C2311yescharacteristic, complemented
487C22⋊C8×C61C2311yescharacteristic
488C22⋊C8×C61C2311yescharacteristic, complemented
489C4×C8×C61C2311yescharacteristic, complemented
490C24×C61—21no—
491C24×C61—21no—
492C24×C61—21no—
493C24×C61—21no—
494C23×D61—21no—
495C23×D61—21no—
496C23×D61—21no—
497C23×D61—21no—
498C23×D61—21no—
499C23×D61—21no—
500C23×D61—21no—
501C23×D61—21no—
502C23×D61—44no—
503C23×D61—82no—
504C23×D61—82no—
505C23×D61C2×D411yescharacteristic
506C2×D4×C61—22no—
507C2×D4×C61—22no—
508C2×D4×C61—21no—
509C2×D4×C61—21no—
510C2×D4×C61—21no—
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—21no—
520C2×D4×C61—41no—
521C2×D4×C61—41no—
522C2×D4×C61—41no—
523C2×D4×C61—41no—
524C2×D4×C61—41no—
525C2×D4×C61—41no—
526C2×D4×C61—82no—
527C2×D4×C61—82no—
528C2×D4×C61C2×D411yescharacteristic
529C2×D4×C61C2411yescharacteristic
530C2×D4×C61C2411yescharacteristic
531C2×D4×C61C2411yescharacteristic
532C2×D4×C61C2411yescharacteristic
533C2×D4×C61C2411yescharacteristic
534C2×D4×C61C2411yescharacteristic
535C22×C4×C61—21no—
536C22×C4×C61—21no—
537C22×C4×C61C2411yescharacteristic
538C22×C4×C61C2411yescharacteristic
539C2×C22⋊D61—21no—
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—21no—
558C2×C22⋊D61—21no—
559C2×C22⋊D61—21no—
560C2×C22⋊D61—21no—
561C2×C22⋊D61—21no—
562C2×C22⋊D61—21no—
563C2×C22⋊D61—21no—
564C2×C22⋊D61—21no—
565C2×C22⋊D61—44no—
566C2×C22⋊D61—44no—
567C2×C22⋊D61—44no—
568C2×C22⋊D61—82no—
569C2×C22⋊D61—82no—
570C2×C22⋊D61—82no—
571C2×C22⋊D61—82no—
572C2×C22⋊D61C2×D411yescharacteristic
573C2×C22⋊D61C2×D411yescharacteristic
574C2×C22⋊D61C2×D411yescharacteristic
575C2×C22⋊D61C2×D411yescharacteristic
576C22×Dic61—21no—
577C22×Dic61—21no—
578C22×Dic61—21no—
579C22×Dic61—21no—
580C22×Dic61—21no—
581C22×Dic61—21no—
582C22×Dic61C2×D411yescharacteristic
583#11758224—22no—
584#11758224—41no—
585#11758224—41no—
586#11758224—41no—
587#11758224—44no—
588D4×D61—22no—
589D4×D61—22no—
590D4×D61—22no—
591D4×D61—22no—
592D4×D61—22no—
593D4×D61—41no—
594D4×D61—41no—
595D4×D61—41no—
596D4×D61—41no—
597D4×D61—41no—
598D4×D61—41no—
599D4×D61—41no—
600D4×D61—41no—
601D4×D61—41no—
602D4×D61—44no—
603D4×D61—44no—
604D4×D61—44no—
605D4×D61—82no—
606D4×D61—82no—
607D4×D61—82no—
608D4×D61—82no—
609#11758222—22no—
610#11758222—41no—
611#11758222—41no—
612#11758222—41no—
613C2×D244—22no—
614C2×D244—21no—
615C2×D244—21no—
616C2×D244—21no—
617C2×D244—41no—
618C2×D244C2×D411yescharacteristic
619C2×D244C2×D411yescharacteristic
620C2×D244C2411yescharacteristic
621C2×D244C2411yescharacteristic
622C2×D244C2411yescharacteristic
623C2×C4×D61—21no—
624C2×C4×D61—21no—
625C2×C4×D61—21no—
626C2×C4×D61—21no—
627C2×C4×D61—21no—
628C2×C4×D61—41no—
629C2×C4×D61—41no—
630C2×C4×D61C2×D411yescharacteristic
631C2×C4×D61C2×D411yescharacteristic
632C2×C4×D61C2411yescharacteristic
633C2×C4×D61C2411yescharacteristic
634C2×C4×D61C2411yescharacteristic
635C2×Dic122C2×D411yescharacteristic
636C2×Dic122C2411yescharacteristic
637D8×C61—22no—
638D8×C61—22no—
639D8×C61—22no—
640D8×C61—41no—
641D8×C61—41no—
642D8×C61—41no—
643D8×C61—41no—
644D8×C61—41no—
645D8×C61—41no—
646C2×C8×C61—41no—
647C2×C8×C61—41no—
648C2×C8×C61C2411yescharacteristic
649C2×C8×C61C2411yescharacteristic
650C2×C8×C61C2411yescharacteristic
651C2×C8×C61C2411yescharacteristic
652C4⋊C4×C61C2×D411yescharacteristic
653C4⋊C4×C61C2411yescharacteristic
654C4⋊C4×C61C2411yescharacteristic
655C22⋊C4×C61—21no—
656C22⋊C4×C61—21no—
657C22⋊C4×C61—21no—
658C22⋊C4×C61—21no—
659C22⋊C4×C61—21no—
660C22⋊C4×C61—21no—
661C22⋊C4×C61C2×D411yescharacteristic
662C22⋊C4×C61C2×D411yescharacteristic
663C42×C61C2411yescharacteristic
664C22⋊Dic61—21no—
665C22⋊Dic61—21no—
666C22⋊Dic61—21no—
667C22⋊Dic61—21no—
668C22⋊Dic61—21no—
669C22⋊Dic61—21no—
670C22⋊Dic61—21no—
671C22⋊Dic61—21no—
672C22⋊Dic61—21no—
673C22⋊Dic61—21no—
674C22⋊Dic61—21no—
675C22⋊Dic61—21no—
676C22⋊Dic61—21no—
677C22⋊Dic61—21no—
678C22⋊Dic61—21no—
679C22⋊Dic61—21no—
680C22⋊Dic61C2×D411yescharacteristic
681C22⋊Dic61C2×D411yescharacteristic
682#11758200—41no—
683#11758200—41no—
684#11758200—41no—
685#11758199—22no—
686#11758199—22no—
687#11758199—22no—
688#11758199—22no—
689#11758199—41no—
690#11758199—41no—
691#11758199—41no—
692#11758199—41no—
693#11758199—41no—
694#11758198—21no—
695#11758198—21no—
696#11758198—21no—
697#11758198—21no—
698#11758198—21no—
699#11758198—21no—
700#11758198—21no—
701#11758198—21no—
702#11758198—21no—
703#11758198—21no—
704#11758198—21no—
705#11758198—21no—
706#11758198—21no—
707#11758198C2×D411yescharacteristic
708#11758198C2×D411yescharacteristic
709#11758198C2×D411yescharacteristic
710#11758198C2×D411yescharacteristic
711#11758198C2×D411yescharacteristic
712#11758198C2×D411yescharacteristic
713C4⋊Dic61—21no—
714C4⋊Dic61—21no—
715C4⋊Dic61—21no—
716C4⋊Dic61C2×D411yescharacteristic
717C4⋊Dic61C2411yescharacteristic
718C4⋊Dic61C2411yescharacteristic
719C4⋊Dic61C2411yescharacteristic
720C4⋊Dic61C2411yescharacteristic
721#11758196—21no—
722#11758196—21no—
723#11758196—21no—
724#11758196—21no—
725#11758196—21no—
726#11758196C2×D411yescharacteristic
727#11758196C2×D411yescharacteristic
728#11758196C2×D411yescharacteristic
729#11758196C2×D411yescharacteristic
730C4×Dic61—21no—
731C4×Dic61—21no—
732C4×Dic61—21no—
733C4×Dic61C2411yescharacteristic
734#11758194—41no—
735C2×#92418—41no—
736C2×#92418C2411yescharacteristic
737C2×#92418C2411yescharacteristic
738C2×#92418C2411yescharacteristic
739C2×#92418C2411yescharacteristic
740D488—22no—
741D488—41no—
742#11758190—41no—
743#11758189—41no—
744C8×D61—41no—
745C8×D61—41no—
746C8×D61—41no—
747C23×C61—21no—
748C23×C61—21no—
749C23×C61—21no—
750C23×C61—21no—
751C23×C61—21no—
752C23×C61—21no—
753C23×C61—42no—
754C23×C61—42no—
755C23×C61—42no—
756C23×C61—42no—
757C23×C61—81no—
758C23×C61—81no—
759C23×C61—81no—
760C23×C61—81no—
761C23×C61—81no—
762C23×C61—81no—
763C23×C61—81no—
764C23×C61—81no—
765C23×C61C22×D411yescharacteristic
766C23×C61C22×D411yescharacteristic
767C22×D61—22no—
768C22×D61—21no—
769C22×D61—24no—
770C22×D61—22no—
771C22×D61—21no—
772C22×D61—21no—
773C22×D61—41no—
774C22×D61—42no—
775C22×D61—42no—
776C22×D61—42no—
777C22×D61—42no—
778C22×D61—42no—
779C22×D61—42no—
780C22×D61—42no—
781C22×D61—42no—
782C22×D61—42no—
783C22×D61—81no—
784C22×D61—81no—
785C22×D61—81no—
786C22×D61—81no—
787C22×D61—81no—
788C22×D61—81no—
789C22×D61—81no—
790C22×D61—81no—
791C22×D61—81no—
792C22×D61—81no—
793C22×D61—81no—
794C22×D61—81no—
795C22×D61—81no—
796C22×D61—81no—
797C22×D61—816no—
798C22×D61C22×D411yescharacteristic
799C22×D61C22×D411yescharacteristic
800C22×D61C22×D411yescharacteristic
801D4×C61—22no—
802D4×C61—21no—
803D4×C61—21no—
804D4×C61—21no—
805D4×C61—21no—
806D4×C61—21no—
807D4×C61—21no—
808D4×C61—21no—
809D4×C61—21no—
810D4×C61—21no—
811D4×C61—21no—
812D4×C61—21no—
813D4×C61—42no—
814D4×C61—42no—
815D4×C61—42no—
816D4×C61—42no—
817D4×C61—81no—
818D4×C61—81no—
819D4×C61—81no—
820D4×C61—81no—
821D4×C61—81no—
822D4×C61—81no—
823D4×C61—81no—
824D4×C61—81no—
825D4×C61H(5,𝔽2)12yes—
826C2×C4×C61—21no—
827C2×C4×C61—21no—
828C2×C4×C61—21no—
829C2×C4×C61—21no—
830C2×C4×C61—21no—
831C2×C4×C61—21no—
832C2×C4×C61—81no—
833C2×C4×C61—81no—
834C2×C4×C61C22×D411yescharacteristic
835C2×C4×C61C22×D411yescharacteristic
836C2×C4×C61C22×D411yescharacteristic
837C2×C4×C61C22×D411yescharacteristic
838C2×C4×C61C2511yescharacteristic
839C22⋊D61—24no—
840C22⋊D61—22no—
841C22⋊D61—22no—
842C22⋊D61—41no—
843C22⋊D61—41no—
844C22⋊D61—42no—
845C22⋊D61—42no—
846C22⋊D61—42no—
847C22⋊D61—42no—
848C22⋊D61—42no—
849C22⋊D61—42no—
850C22⋊D61—42no—
851C22⋊D61—42no—
852C22⋊D61—42no—
853C22⋊D61—42no—
854C22⋊D61—42no—
855C22⋊D61—81no—
856C22⋊D61—81no—
857C22⋊D61—81no—
858C22⋊D61—81no—
859C22⋊D61—81no—
860C22⋊D61—81no—
861C22⋊D61—81no—
862C22⋊D61—81no—
863C22⋊D61—81no—
864C22⋊D61—81no—
865C22⋊D61—81no—
866C22⋊D61—81no—
867C22⋊D61—81no—
868C22⋊D61—81no—
869C2×Dic61—21no—
870C2×Dic61—21no—
871C2×Dic61—21no—
872C2×Dic61—21no—
873C2×Dic61—21no—
874C2×Dic61—41no—
875C2×Dic61—42no—
876C2×Dic61—42no—
877C2×Dic61—81no—
878C2×Dic61—81no—
879C2×Dic61—81no—
880C2×Dic61—81no—
881C2×Dic61C22×D411yescharacteristic
882C2×Dic61C22×D411yescharacteristic
883C2×Dic61C22×D411yescharacteristic
884C2×Dic61C22×D411yescharacteristic
885C2×Dic61C22×D411yescharacteristic
886D244—22no—
887D244—21no—
888D244—21no—
889D244—21no—
890D244—21no—
891D244—21no—
892D244—41no—
893D244—42no—
894D244—81no—
895D244—81no—
896D244H(5,𝔽2)12yes—
897C4×D61—21no—
898C4×D61—21no—
899C4×D61—21no—
900C4×D61—21no—
901C4×D61—21no—
902C4×D61—21no—
903C4×D61—41no—
904C4×D61—41no—
905C4×D61—42no—
906C4×D61—81no—
907C4×D61—81no—
908C4×D61—81no—
909C4×D61—81no—
910Dic122—21no—
911Dic122—21no—
912Dic122—41no—
913C8×C61—21no—
914C8×C61—21no—
915C8×C61—21no—
916C8×C61—21no—
917#92418—21no—
918#92418—21no—
919#92418—21no—
920#92418—21no—
921#61630—611nomaximal, Sylow
922C22×C61—21no—
923C22×C61—21no—
924C22×C61—22no—
925C22×C61—21no—
926C22×C61—21no—
927C22×C61—21no—
928C22×C61—41no—
929C22×C61—41no—
930C22×C61—41no—
931C22×C61—41no—
932C22×C61—41no—
933C22×C61—41no—
934C22×C61—41no—
935C22×C61—41no—
936C22×C61—41no—
937C22×C61—41no—
938C22×C61—41no—
939C22×C61—41no—
940C22×C61—41no—
941C22×C61—41no—
942C22×C61—41no—
943C22×C61—41no—
944C22×C61—41no—
945C22×C61—84no—
946C22×C61—162no—
947C22×C61—162no—
948C22×C61—162no—
949C22×C61#57612yes—
950C22×C61C23×D411yescharacteristic
951C2×D61—21no—
952C2×D61—21no—
953C2×D61—21no—
954C2×D61—21no—
955C2×D61—22no—
956C2×D61—21no—
957C2×D61—21no—
958C2×D61—21no—
959C2×D61—21no—
960C2×D61—44no—
961C2×D61—41no—
962C2×D61—41no—
963C2×D61—41no—
964C2×D61—41no—
965C2×D61—41no—
966C2×D61—41no—
967C2×D61—41no—
968C2×D61—41no—
969C2×D61—84no—
970C2×D61—84no—
971C2×D61—84no—
972C2×D61—84no—
973C2×D61—84no—
974C2×D61—162no—
975C2×D61—162no—
976C2×D61—162no—
977C2×D61#57612yes—
978C4×C61—21no—
979C4×C61—21no—
980C4×C61—21no—
981C4×C61—21no—
982C4×C61—41no—
983C4×C61—41no—
984C4×C61C2×H(5,𝔽2)11yescharacteristic
985C4×C61C2×H(5,𝔽2)11yescharacteristic
986Dic61—21no—
987Dic61—21no—
988Dic61—21no—
989Dic61—21no—
990Dic61—21no—
991Dic61—41no—
992Dic61—41no—
993Dic61—41no—
994Dic61—41no—
995Dic61—41no—
996#3537—611no—
997#3484—611no—
998#3318—611no—
999#3318—611no—
1000#3318—611no—
1001#3318—611no—
1002#3297—611no—
1003#3297—611no—
1004#3297—611no—
1005#3297—611no—
1006D4×D8—611no—
1007D4×D8—611no—
1008D4×D8—611no—
1009D4×D8D6111yescharacteristic, complemented
1010#3264—611no—
1011#3264—611no—
1012#3264—611no—
1013#3264—611no—
1014#3220—611no—
1015#3220—611no—
1016#3199—611no—
1017#3199—611no—
1018#3188—611no—
1019#3188—611no—
1020#3122—611no—
1021#3122—611no—
1022#3008—611no—
1023#3008—611no—
1024C2×#447—611no—
1025C2×#447—611no—
1026#2977—611no—
1027C2×C61—22no—
1028C2×C61—42no—
1029C2×C61—41no—
1030C2×C61—81no—
1031C2×C61—81no—
1032C2×C61—81no—
1033C2×C61—81no—
1034C2×C61—81no—
1035C2×C61#348411yescharacteristic
1036C2×C61C2×#57611yescharacteristic
1037C2×C61C2×#57611yescharacteristic
1038D61—22no—
1039D61—41no—
1040D61—41no—
1041D61—42no—
1042D61—81no—
1043D61—81no—
1044C2×H(5,𝔽2)—611no—
1045C23×D4—611no—
1046C2×AGL(1,ℤ/8)—611no—
1047C2×AGL(1,ℤ/8)—611no—
1048C22×D8—611no—
1049C22×D8—611no—
1050C22×D8—611no—
1051C22×D8—611no—
1052C22×D8C2×D6111yescharacteristic, complemented
1053C22×D8C2×D6111yescharacteristic, complemented
1054#560—1221no—
1055#560—1221no—
1056#553—611no—
1057#553—611no—
1058#553—611no—
1059#553—611no—
1060#546—611no—
1061#546—611no—
1062#546—611no—
1063#546—611no—
1064#546—1221no—
1065#546—1221no—
1066D42—611no—
1067D42—611no—
1068D42—611no—
1069D42—611no—
1070D42—611no—
1071D42—611no—
1072D42—1221no—
1073D42—1221no—
1074D42—1221no—
1075D42—1221no—
1076D42C2×D6111yescharacteristic, complemented
1077D42C2×D6111yescharacteristic, complemented
1078#540—611no—
1079#540—611no—
1080#538—1221no—
1081#538—1221no—
1082#535—611no—
1083#535—611no—
1084#535—611no—
1085#535—611no—
1086#534—1221no—
1087#534—1221no—
1088#534—1221no—
1089#534—1221no—
1090#525—611no—
1091#525—611no—
1092C2×#121—611no—
1093C2×#121—611no—
1094C2×#120—1221no—
1095C2×#120—1221no—
1096#518—611no—
1097#496—611no—
1098#496—611no—
1099#493—611no—
1100#493C2×D6111yescharacteristic, complemented
1101#490—611no—
1102#490—611no—
1103#488—611no—
1104#488—611no—
1105#484—611no—
1106#484—611no—
1107#482—611no—
1108#482—611no—
1109#482—611no—
1110#482—611no—
1111#482—611no—
1112#482—611no—
1113#482—611no—
1114#482—611no—
1115#481—611no—
1116#481—611no—
1117#478—611no—
1118#478—611no—
1119#478—611no—
1120#478—611no—
1121#469—611no—
1122#469—611no—
1123#469—611no—
1124#469—611no—
1125#466—611no—
1126#466—611no—
1127#466—611no—
1128#466—611no—
1129#466—611no—
1130#466—611no—
1131#466C2×D6111yescharacteristic, complemented
1132#466C2×D6111yescharacteristic, complemented
1133#465—611no—
1134#465—611no—
1135#465—611no—
1136#465—611no—
1137#463—611no—
1138#463—611no—
1139#463—611no—
1140#463—611no—
1141#459—611no—
1142#459—611no—
1143#459—611no—
1144#459—611no—
1145#459—611no—
1146#459—611no—
1147#459C2×D6111yescharacteristic, complemented
1148#459C2×D6111yescharacteristic, complemented
1149#450—611no—
1150#450—611no—
1151#449—611no—
1152#449—611no—
1153#449—611no—
1154#449—611no—
1155#449—611no—
1156#449—611no—
1157#449—611no—
1158#449—611no—
1159#447—611no—
1160#447—611no—
1161#447—611no—
1162#447—611no—
1163#447—611no—
1164#447—611no—
1165#447—611no—
1166#447—611no—
1167#447—611no—
1168#447—611no—
1169#447—611no—
1170#447—611no—
1171#447—611no—
1172#447—611no—
1173#447—611no—
1174#447—611no—
1175#447—611no—
1176#447—611no—
1177#447—611no—
1178#447—611no—
1179#447—611no—
1180#447—611no—
1181#447C2×D6111yescharacteristic, complemented
1182#447C2×D6111yescharacteristic, complemented
1183#447C2×D6111yescharacteristic, complemented
1184#447C2×D6111yescharacteristic, complemented
1185#442—611no—
1186#442—611no—
1187#442—611no—
1188#442—611no—
1189C4×D8—611no—
1190C4×D8—611no—
1191C4×D8—611no—
1192C4×D8C2×D6111yescharacteristic, complemented
1193#435—611no—
1194#435—611no—
1195#435—611no—
1196#435—611no—
1197C8×D4—611no—
1198C8×D4—611no—
1199C8×D4—611no—
1200C8×D4C2×D6111yescharacteristic, complemented
1201#433—611no—
1202#433—611no—
1203#418—611no—
1204#418—611no—
1205#416—611no—
1206#416—611no—
1207C2×#102—611no—
1208C2×#102—611no—
1209C2×#102—611no—
1210C2×#102—611no—
1211#408—611no—
1212#408—611no—
1213C2×C22⋊C8—611no—
1214C2×C22⋊C8—611no—
1215C61#6163011yescharacteristic, complemented, Sylow
1216C25—1221no—
1217H(5,𝔽2)—2442no—
1218H(5,𝔽2)—2442no—
1219C2×#41—611no—
1220C2×#41—611no—
1221C2×#41—611no—
1222C2×#41—611no—
1223C2×#41—1221no—
1224C22×D4—21no—
1225C22×D4—21no—
1226C22×D4—611no—
1227C22×D4—611no—
1228C22×D4—611no—
1229C22×D4—611no—
1230C22×D4—611no—
1231C22×D4—611no—
1232C22×D4—611no—
1233C22×D4—611no—
1234C22×D4—1221no—
1235C22×D4—1221no—
1236C22×D4—1221no—
1237C22×D4—1221no—
1238C22×D4—1221no—
1239C22×D4—1221no—
1240C22×D4—1221no—
1241C22×D4—1221no—
1242C22×D4—1221no—
1243C22×D4—1221no—
1244C22×D4—1221no—
1245C22×D4—1221no—
1246C22×D4—1221no—
1247C22×D4—1221no—
1248C22×D4—2442no—
1249C22×D4—2442no—
1250C22×D4C22×D6111yescharacteristic
1251C22×D4C22×D6111yescharacteristic
1252C22×D4C22×D6111yescharacteristic
1253C22×D4C22×D6111yescharacteristic, complemented
1254C23×C4—611no—
1255AGL(1,ℤ/8)—2442no—
1256AGL(1,ℤ/8)—2442no—
1257C2×SD16—611no—
1258C2×SD16—611no—
1259C2×SD16—611no—
1260C2×SD16—611no—
1261C2×D8—42no—
1262C2×D8—42no—
1263C2×D8—611no—
1264C2×D8—611no—
1265C2×D8—611no—
1266C2×D8—611no—
1267C2×D8—611no—
1268C2×D8—611no—
1269C2×D8—611no—
1270C2×D8—611no—
1271C2×D8—611no—
1272C2×D8—611no—
1273C2×D8—611no—
1274C2×D8—2442no—
1275C2×D8—2442no—
1276C2×D8—2442no—
1277C2×D8—2442no—
1278C2×D8C22×D6111yescharacteristic
1279C2×D8C22×D6111yescharacteristic
1280C2×D8C22×D6111yescharacteristic
1281C2×D8C22×D6111yescharacteristic
1282C2×D8C22×D6111yescharacteristic
1283C2×D8C22×D6111yescharacteristic
1284C2×D8C22×D6111yescharacteristic, complemented
1285C2×D8C22×D6111yescharacteristic, complemented
1286C2×D8C22×D6111yescharacteristic, complemented
1287C2×M16—611no—
1288C2×M16—611no—
1289C22×C8—611no—
1290C22×C8—611no—
1291C22×C8—611no—
1292C22×C8—611no—
1293C22×C8C22×D6111yescharacteristic
1294C22×C8C22×D6111yescharacteristic, complemented
1295#127—611no—
1296#127—611no—
1297#127—1221no—
1298#127—1221no—
1299#127—1221no—
1300#127C22×D6111yescharacteristic
1301#127C22×D6111yescharacteristic, complemented
1302#126—1221no—
1303#126—1221no—
1304#126—1221no—
1305#126—1221no—
1306#125—611no—
1307#125—611no—
1308#124—611no—
1309#124—611no—
1310#124—1221no—
1311#124—1221no—
1312#124—1221no—
1313#123—611no—
1314#123—611no—
1315#123—1221no—
1316#123—1221no—
1317#123—1221no—
1318#123—1221no—
1319#123—1221no—
1320#123—1221no—
1321#123—1221no—
1322#123—1221no—
1323#123—1221no—
1324#123—1221no—
1325#123—1221no—
1326#123—1221no—
1327#123—1221no—
1328C22⋊Q8—611no—
1329C22⋊Q8—611no—
1330C22⋊Q8—611no—
1331C22⋊Q8—611no—
1332#121—21no—
1333#121—21no—
1334#121—611no—
1335#121—611no—
1336#121—611no—
1337#121—611no—
1338#121—611no—
1339#121—611no—
1340#121—611no—
1341#121—611no—
1342#121—611no—
1343#121—611no—
1344#121—611no—
1345#121—611no—
1346#121—611no—
1347#121—611no—
1348#121—611no—
1349#121—611no—
1350#121—1221no—
1351#121—1221no—
1352#121—1221no—
1353#121—1221no—
1354#121—1221no—
1355#121—1221no—
1356#121—1221no—
1357#121—1221no—
1358#121—1221no—
1359#121—1221no—
1360#121—1221no—
1361#121—1221no—
1362#121—1221no—
1363#121—1221no—
1364#121—1221no—
1365#121—1221no—
1366#121—1221no—
1367#121—1221no—
1368#121—1221no—
1369#121—1221no—
1370#121—1221no—
1371#121—1221no—
1372#121—1221no—
1373#121—1221no—
1374#121C22×D6111yescharacteristic
1375#121C22×D6111yescharacteristic
1376#121C22×D6111yescharacteristic
1377#121C22×D6111yescharacteristic, complemented
1378#120—21no—
1379#120—21no—
1380#120—21no—
1381#120—21no—
1382#120—611no—
1383#120—611no—
1384#120—1221no—
1385#120—1221no—
1386#120—1221no—
1387#120—1221no—
1388#120—1221no—
1389#120—1221no—
1390#120—1221no—
1391#120—1221no—
1392#120—1221no—
1393#120—1221no—
1394#120—1221no—
1395#120—1221no—
1396#120—1221no—
1397#120—1221no—
1398#120—1221no—
1399#120—1221no—
1400#120—1221no—
1401#120—1221no—
1402#120—1221no—
1403#120—1221no—
1404#120—1221no—
1405#120—1221no—
1406#120—1221no—
1407#120—1221no—
1408#120—1221no—
1409C4×D4—611no—
1410C4×D4—611no—
1411C4×D4—611no—
1412C4×D4—611no—
1413C4×D4—611no—
1414C4×D4—611no—
1415C4×D4—611no—
1416C4×D4—611no—
1417C4×D4—611no—
1418C4×D4—1221no—
1419C4×D4—1221no—
1420C4×D4—1221no—
1421C4×D4—1221no—
1422C4×D4—1221no—
1423C4×D4—1221no—
1424C4×D4—1221no—
1425C4×D4—1221no—
1426C4×D4C22×D6111yescharacteristic
1427C4×D4C22×D6111yescharacteristic
1428C4×D4C22×D6111yescharacteristic, complemented
1429#117—611no—
1430#117—611no—
1431#117—611no—
1432#117—611no—
1433C2×C4⋊C4—611no—
1434C2×C4⋊C4—611no—
1435C2×C22⋊C4—1221no—
1436C2×C22⋊C4—1221no—
1437C2×C22⋊C4—1221no—
1438C2×C22⋊C4—1221no—
1439C2×C22⋊C4—1221no—
1440C2×C22⋊C4—1221no—
1441C2×C22⋊C4—1221no—
1442C2×C22⋊C4—1221no—
1443#107—611no—
1444#107—611no—
1445#107—611no—
1446#107C22×D6111yescharacteristic, complemented
1447#106—611no—
1448#106—611no—
1449#106—611no—
1450#106—611no—
1451C4⋊C8—611no—
1452C4⋊C8—611no—
1453C4⋊C8—611no—
1454C4⋊C8C22×D6111yescharacteristic, complemented
1455#103—611no—
1456#103—611no—
1457#103—611no—
1458#103—611no—
1459#102—611no—
1460#102—611no—
1461#102—611no—
1462#102—611no—
1463#102—611no—
1464#102—611no—
1465#102—611no—
1466#102—611no—
1467#102—611no—
1468#102—611no—
1469#102—611no—
1470#102—611no—
1471#102—611no—
1472#102—611no—
1473#102—611no—
1474#102—611no—
1475#102—611no—
1476#102—611no—
1477#102—611no—
1478#102—611no—
1479#102—611no—
1480#102—611no—
1481#102C22×D6111yescharacteristic
1482#102C22×D6111yescharacteristic
1483#102C22×D6111yescharacteristic, complemented
1484#102C22×D6111yescharacteristic, complemented
1485#102C22×D6111yescharacteristic, complemented
1486#102C22×D6111yescharacteristic, complemented
1487C22⋊C8—611no—
1488C22⋊C8—611no—
1489C22⋊C8—611no—
1490C22⋊C8—611no—
1491C22⋊C8—611no—
1492C22⋊C8—611no—
1493C22⋊C8—611no—
1494C22⋊C8—611no—
1495C22⋊C8—611no—
1496C22⋊C8—611no—
1497C22⋊C8C22×D6111yescharacteristic
1498C22⋊C8C22×D6111yescharacteristic, complemented
1499#97—611no—
1500#97—611no—
1501C4×C8—611no—
1502C4×C8C22×D6111yescharacteristic, complemented
1503C24—21no—
1504C24—21no—
1505C24—21no—
1506C24—21no—
1507C24—611no—
1508C24—1221no—
1509C24—1221no—
1510C24—1221no—
1511C24—1221no—
1512C24—1221no—
1513C24—1221no—
1514C24—1221no—
1515C24—1221no—
1516C24—4882no—
1517C24—4882no—
1518C24—2444no—
1519#41—1222no—
1520#41—1222no—
1521#41—2441no—
1522#41—2441no—
1523#41—2441no—
1524#41—2441no—
1525#41—2441no—
1526#41—2441no—
1527#41—2444no—
1528C2×Q8—611no—
1529C2×Q8—611no—
1530C2×D4—22no—
1531C2×D4—22no—
1532C2×D4—21no—
1533C2×D4—21no—
1534C2×D4—21no—
1535C2×D4—21no—
1536C2×D4—21no—
1537C2×D4—21no—
1538C2×D4—21no—
1539C2×D4—21no—
1540C2×D4—21no—
1541C2×D4—21no—
1542C2×D4—21no—
1543C2×D4—21no—
1544C2×D4—41no—
1545C2×D4—41no—
1546C2×D4—41no—
1547C2×D4—41no—
1548C2×D4—41no—
1549C2×D4—41no—
1550C2×D4—82no—
1551C2×D4—82no—
1552C2×D4—611no—
1553C2×D4—611no—
1554C2×D4—611no—
1555C2×D4—611no—
1556C2×D4—611no—
1557C2×D4—611no—
1558C2×D4—611no—
1559C2×D4—611no—
1560C2×D4—611no—
1561C2×D4—1222no—
1562C2×D4—1221no—
1563C2×D4—1221no—
1564C2×D4—1221no—
1565C2×D4—1221no—
1566C2×D4—1221no—
1567C2×D4—1221no—
1568C2×D4—1221no—
1569C2×D4—1221no—
1570C2×D4—1221no—
1571C2×D4—1221no—
1572C2×D4—1221no—
1573C2×D4—1221no—
1574C2×D4—1221no—
1575C2×D4—1222no—
1576C2×D4—1222no—
1577C2×D4—1222no—
1578C2×D4—1222no—
1579C2×D4—1222no—
1580C2×D4—1221no—
1581C2×D4—1221no—
1582C2×D4—1221no—
1583C2×D4—1221no—
1584C2×D4—1221no—
1585C2×D4—1221no—
1586C2×D4—1221no—
1587C2×D4—1221no—
1588C2×D4—1221no—
1589C2×D4—1221no—
1590C2×D4—1221no—
1591C2×D4—1221no—
1592C2×D4—1221no—
1593C2×D4—1221no—
1594C2×D4—1221no—
1595C2×D4—1221no—
1596C2×D4—4882no—
1597C2×D4—4882no—
1598C2×D4—4882no—
1599C2×D4—4882no—
1600C2×D4—4882no—
1601C2×D4—4882no—
1602C2×D4—4882no—
1603C2×D4—4882no—
1604C2×D4—2441no—
1605C2×D4—2441no—
1606C2×D4—2441no—
1607C2×D4—2441no—
1608C2×D4—2441no—
1609C2×D4—2441no—
1610C2×D4—2441no—
1611C2×D4—2441no—
1612C2×D4—2441no—
1613C2×D4—2441no—
1614C2×D4—2444no—
1615C2×D4—2444no—
1616C2×D4—2444no—
1617C2×D4—2444no—
1618C2×D4—2444no—
1619C2×D4—2444no—
1620C2×D4D4×D6111yescharacteristic
1621C2×D4C23×D6111yescharacteristic
1622C2×D4C23×D6111yescharacteristic
1623C2×D4C23×D6111yescharacteristic
1624C2×D4C23×D6111yescharacteristic
1625C2×D4C23×D6111yescharacteristic
1626C2×D4C23×D6111yescharacteristic
1627C22×C4—21no—
1628C22×C4—21no—
1629C22×C4—611no—
1630C22×C4—611no—
1631C22×C4—611no—
1632C22×C4—611no—
1633C22×C4—611no—
1634C22×C4—611no—
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—2441no—
1647C22×C4—2441no—
1648C22×C4C23×D6111yescharacteristic
1649C22×C4C23×D6111yescharacteristic
1650SD16—2441no—
1651SD16—2441no—
1652SD16—2441no—
1653SD16—2441no—
1654D8—22no—
1655D8—22no—
1656D8—22no—
1657D8—41no—
1658D8—41no—
1659D8—41no—
1660D8—41no—
1661D8—41no—
1662D8—41no—
1663D8—1222no—
1664D8—1222no—
1665D8—1222no—
1666D8—1222no—
1667D8—1222no—
1668D8—2441no—
1669D8—2441no—
1670D8—2441no—
1671D8—2441no—
1672D8—2441no—
1673D8—2441no—
1674M16—2441no—
1675M16—2441no—
1676C2×C8—41no—
1677C2×C8—41no—
1678C2×C8—611no—
1679C2×C8—611no—
1680C2×C8—611no—
1681C2×C8—611no—
1682C2×C8—2441no—
1683C2×C8—2441no—
1684C2×C8—2441no—
1685C2×C8—2441no—
1686C2×C8C23×D6111yescharacteristic
1687C2×C8C23×D6111yescharacteristic
1688C2×C8C23×D6111yescharacteristic
1689C2×C8C23×D6111yescharacteristic
1690C4⋊C4—611no—
1691C4⋊C4—611no—
1692C4⋊C4—611no—
1693C4⋊C4—611no—
1694C4⋊C4—611no—
1695C4⋊C4—611no—
1696C4⋊C4—611no—
1697C4⋊C4—611no—
1698C4⋊C4—611no—
1699C4⋊C4—1221no—
1700C4⋊C4—1221no—
1701C4⋊C4—1221no—
1702C4⋊C4—1221no—
1703C4⋊C4—1221no—
1704C4⋊C4—1221no—
1705C4⋊C4—1221no—
1706C4⋊C4—1221no—
1707C4⋊C4D4×D6111yescharacteristic
1708C4⋊C4C23×D6111yescharacteristic
1709C4⋊C4C23×D6111yescharacteristic
1710C22⋊C4—21no—
1711C22⋊C4—21no—
1712C22⋊C4—21no—
1713C22⋊C4—21no—
1714C22⋊C4—21no—
1715C22⋊C4—21no—
1716C22⋊C4—611no—
1717C22⋊C4—611no—
1718C22⋊C4—611no—
1719C22⋊C4—611no—
1720C22⋊C4—611no—
1721C22⋊C4—611no—
1722C22⋊C4—611no—
1723C22⋊C4—611no—
1724C22⋊C4—1221no—
1725C22⋊C4—1221no—
1726C22⋊C4—1221no—
1727C22⋊C4—1221no—
1728C22⋊C4—1221no—
1729C22⋊C4—1221no—
1730C22⋊C4—1221no—
1731C22⋊C4—1221no—
1732C22⋊C4—1221no—
1733C22⋊C4—1221no—
1734C22⋊C4—1221no—
1735C22⋊C4—1221no—
1736C22⋊C4—1221no—
1737C22⋊C4—1221no—
1738C22⋊C4—1221no—
1739C22⋊C4—1221no—
1740C22⋊C4—1221no—
1741C22⋊C4—1221no—
1742C22⋊C4—1221no—
1743C22⋊C4—1221no—
1744C22⋊C4—1221no—
1745C22⋊C4—1221no—
1746C22⋊C4—1221no—
1747C22⋊C4—1221no—
1748C22⋊C4—1221no—
1749C22⋊C4—1221no—
1750C22⋊C4—1221no—
1751C22⋊C4—1221no—
1752C22⋊C4—1221no—
1753C22⋊C4D4×D6111yescharacteristic
1754C22⋊C4D4×D6111yescharacteristic
1755C42—611no—
1756C42—1221no—
1757C42—1221no—
1758C42—1221no—
1759C42C23×D6111yescharacteristic
1760C23—21no—
1761C23—21no—
1762C23—21no—
1763C23—21no—
1764C23—21no—
1765C23—21no—
1766C23—42no—
1767C23—42no—
1768C23—42no—
1769C23—42no—
1770C23—81no—
1771C23—81no—
1772C23—81no—
1773C23—81no—
1774C23—81no—
1775C23—81no—
1776C23—81no—
1777C23—81no—
1778C23—611no—
1779C23—611no—
1780C23—611no—
1781C23—1222no—
1782C23—1224no—
1783C23—1222no—
1784C23—1221no—
1785C23—1221no—
1786C23—1221no—
1787C23—4881no—
1788C23—4881no—
1789C23—4881no—
1790C23—4881no—
1791C23—4881no—
1792C23—4881no—
1793C23—4881no—
1794C23—4881no—
1795C23—4881no—
1796C23—4881no—
1797C23—4881no—
1798C23—4881no—
1799C23—4881no—
1800C23—4881no—
1801C23—48816no—
1802C23—2441no—
1803C23—2442no—
1804C23—2442no—
1805C23—2442no—
1806C23—2442no—
1807C23—2442no—
1808C23—2442no—
1809C23—2442no—
1810C23—2442no—
1811C23—2442no—
1812C23C2×D4×D6111yescharacteristic
1813C23C2×D4×D6111yescharacteristic
1814Q8—1221no—
1815Q8—1221no—
1816Q8—2441no—
1817D4—22no—
1818D4—21no—
1819D4—21no—
1820D4—21no—
1821D4—21no—
1822D4—21no—
1823D4—21no—
1824D4—21no—
1825D4—21no—
1826D4—21no—
1827D4—21no—
1828D4—21no—
1829D4—42no—
1830D4—42no—
1831D4—42no—
1832D4—42no—
1833D4—81no—
1834D4—81no—
1835D4—81no—
1836D4—81no—
1837D4—81no—
1838D4—81no—
1839D4—81no—
1840D4—81no—
1841D4—612no—
1842D4—1222no—
1843D4—1222no—
1844D4—1224no—
1845D4—1222no—
1846D4—1221no—
1847D4—1221no—
1848D4—1221no—
1849D4—1221no—
1850D4—1221no—
1851D4—4881no—
1852D4—4881no—
1853D4—4881no—
1854D4—4881no—
1855D4—4881no—
1856D4—4881no—
1857D4—4881no—
1858D4—4881no—
1859D4—4881no—
1860D4—4881no—
1861D4—4881no—
1862D4—4881no—
1863D4—4881no—
1864D4—4881no—
1865D4—4881no—
1866D4—4881no—
1867D4—2441no—
1868D4—2442no—
1869D4—2441no—
1870D4—2441no—
1871D4—2442no—
1872D4—2442no—
1873D4—2442no—
1874D4—2442no—
1875D4—2442no—
1876D4—2442no—
1877D4—2442no—
1878D4—2442no—
1879D4—2442no—
1880D4—2442no—
1881D4—2442no—
1882D4#1451982212yes—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—21no—
1887C2×C4—21no—
1888C2×C4—21no—
1889C2×C4—81no—
1890C2×C4—81no—
1891C2×C4—611no—
1892C2×C4—611no—
1893C2×C4—611no—
1894C2×C4—611no—
1895C2×C4—611no—
1896C2×C4—1221no—
1897C2×C4—1221no—
1898C2×C4—1221no—
1899C2×C4—1221no—
1900C2×C4—1221no—
1901C2×C4—1221no—
1902C2×C4—1221no—
1903C2×C4—1221no—
1904C2×C4—1221no—
1905C2×C4—1221no—
1906C2×C4—1221no—
1907C2×C4—4881no—
1908C2×C4—4881no—
1909C2×C4—4881no—
1910C2×C4—4881no—
1911C2×C4—4881no—
1912C2×C4—4881no—
1913C2×C4—4881no—
1914C2×C4—4881no—
1915C2×C4—2441no—
1916C2×C4—2441no—
1917C2×C4—2442no—
1918C2×C4—2441no—
1919C2×C4—2442no—
1920C2×C4—2442no—
1921C2×C4C2×D4×D6111yescharacteristic
1922C2×C4C2×D4×D6111yescharacteristic
1923C2×C4C2×D4×D6111yescharacteristic
1924C2×C4C2×D4×D6111yescharacteristic
1925C2×C4C24×D6111yescharacteristic
1926C8—21no—
1927C8—21no—
1928C8—21no—
1929C8—21no—
1930C8—1221no—
1931C8—1221no—
1932C8—1221no—
1933C8—1221no—
1934C22—21no—
1935C22—21no—
1936C22—21no—
1937C22—21no—
1938C22—21no—
1939C22—22no—
1940C22—41no—
1941C22—41no—
1942C22—41no—
1943C22—41no—
1944C22—41no—
1945C22—41no—
1946C22—41no—
1947C22—41no—
1948C22—41no—
1949C22—41no—
1950C22—41no—
1951C22—41no—
1952C22—41no—
1953C22—41no—
1954C22—41no—
1955C22—41no—
1956C22—41no—
1957C22—84no—
1958C22—162no—
1959C22—162no—
1960C22—162no—
1961C22—612no—
1962C22—1221no—
1963C22—1221no—
1964C22—1221no—
1965C22—1221no—
1966C22—1221no—
1967C22—1221no—
1968C22—1221no—
1969C22—1221no—
1970C22—1222no—
1971C22—9762no—
1972C22—9762no—
1973C22—9762no—
1974C22—4884no—
1975C22—4884no—
1976C22—4884no—
1977C22—4884no—
1978C22—4884no—
1979C22—2444no—
1980C22—2441no—
1981C22—2441no—
1982C22—2441no—
1983C22—2441no—
1984C22—2441no—
1985C22—2441no—
1986C22—2441no—
1987C22—2441no—
1988C22#1684056312yes—
1989C22C22×D4×D6111yescharacteristic
1990C4—21no—
1991C4—21no—
1992C4—21no—
1993C4—21no—
1994C4—41no—
1995C4—41no—
1996C4—1221no—
1997C4—1221no—
1998C4—1221no—
1999C4—1221no—
2000C4—1221no—
2001C4—2441no—
2002C4—2441no—
2003C4—2441no—
2004C4—2441no—
2005C4—2441no—
2006C4H(5,𝔽2)×D6111yescharacteristic
2007C4C2×#1451982211yescharacteristic
2008C2—22no—
2009C2—41no—
2010C2—42no—
2011C2—81no—
2012C2—81no—
2013C2—81no—
2014C2—81no—
2015C2—81no—
2016C2—1222no—
2017C2—4881no—
2018C2—4881no—
2019C2—2441no—
2020C2—2441no—
2021C2—2442no—
2022C2#2145944711yescharacteristic
2023C2#576×D6111yescharacteristic
2024C2C2×#1684056311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingD4×D8×C61C2
socleC22×C61C23×D4
hypercenterD4×D8D61
hypocenterC61#61630
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ D4×D8

Complements

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

NH ≅ G/Ntype
1. #21460050C2semidirect
2. #21459447C2semidirect
3. #21457967C2semidirect
4. #21457966C2semidirect
5. #21457960C2semidirect
6. #21457953C2semidirect
7. #21457674C2semidirect
8. #21457673C2semidirect
9. #21457671C2semidirect
10. #21457664C2semidirect
11. #21457494C2semidirect
12. D8×C22⋊D61C2semidirect
13. #21457489C2semidirect
14. #21457299C2semidirect
15. #21457297C2semidirect
16. #21457295C2semidirect
17. #21457294C2semidirect
18. #21456868C2semidirect
19. #21456862C2semidirect
20. #21456682C2semidirect
21. #21456679C2semidirect
22. #21456581C2semidirect
23. #21456579C2semidirect
24. #21456060C2semidirect
25. #21456059C2semidirect
26. #21455083C2semidirect
27. #21455082C2semidirect
28. C2×#16839894C2semidirect
29. #447×D61C2semidirect
30. #21454872C2semidirect
31. D4×D8×C61C2semidirect
32. C2×#14519822C22semidirect
33. C22×D4×D61C22semidirect
34. C2×#14519803C22semidirect
35. C2×#14519801C22semidirect
36. C22×#11758199C22semidirect
37. C2×D8×D61C22semidirect
38. C2×D8×D61C22semidirect
39. C2×D8×D61C22semidirect
42. #16840464C22semidirect
43. #16840462C22semidirect
44. #16840459C22semidirect
45. #16840458C22semidirect
46. #16840409C22semidirect
47. #16840408C22semidirect
48. #16840407C22semidirect
49. #16840406C22semidirect
52. #16840397C22semidirect
53. #16840397C22semidirect
54. #16840396C22semidirect
57. D4×C22⋊D61C22semidirect
58. D4×C22⋊D61C22semidirect
59. D4×C22⋊D61C22semidirect
62. #16840366C22semidirect
63. #16840363C22semidirect
66. #16840329C22semidirect
67. #16840328C22semidirect
68. #16840328C22semidirect
69. #16840325C22semidirect
74. #16840272C22semidirect
76. C2×#14519748C22semidirect
77. #121×D61C22semidirect
80. #16840234C22semidirect
81. #16840150C22semidirect
82. #16840149C22semidirect
83. #16840137C22semidirect
84. #16840126C22semidirect
85. #16840125C22semidirect
86. #16840117C22semidirect
87. #16840115C22semidirect
88. #16840099C22semidirect
89. #16840098C22semidirect
90. #16840089C22semidirect
91. #16840089C22semidirect
92. #16840087C22semidirect
93. #16840085C22semidirect
94. #16840084C22semidirect
95. #16840084C22semidirect
96. #16840084C22semidirect
97. #16840083C22semidirect
98. #16840079C22semidirect
99. #16840078C22semidirect
100. #16840065C22semidirect
101. #16840063C22semidirect
102. #16840062C22semidirect
103. #16840060C22semidirect
104. #16840014C22semidirect
105. #16840013C22semidirect
106. #16840013C22semidirect
107. #16840012C22semidirect
108. #16839998C22semidirect
109. #16839997C22semidirect
110. #16839996C22semidirect
111. #16839995C22semidirect
112. #16839995C22semidirect
113. #16839995C22semidirect
114. #16839991C22semidirect
115. #16839990C22semidirect
116. #16839990C22semidirect
117. #16839989C22semidirect
118. #16839978C22semidirect
119. #16839977C22semidirect
120. #16839975C22semidirect
121. #16839975C22semidirect
122. #16839956C22semidirect
123. #16839955C22semidirect
124. #16839955C22semidirect
125. #16839955C22semidirect
126. #16839954C22semidirect
127. #16839954C22semidirect
128. #16839914C22semidirect
129. #16839913C22semidirect
130. #16839909C22semidirect
131. #16839908C22semidirect
132. #16839905C22semidirect
133. #16839904C22semidirect
134. #16839904C22semidirect
135. #16839904C22semidirect
136. #16839904C22semidirect
137. #16839904C22semidirect
138. #16839898C22semidirect
139. #16839897C22semidirect
140. #16839897C22semidirect
141. #16839897C22semidirect
142. #16839896C22semidirect
143. #16839896C22semidirect
144. #16839896C22semidirect
145. #16839895C22semidirect
146. #16839894C22semidirect
147. #16839894C22semidirect
148. #16839894C22semidirect
149. #16839894C22semidirect
150. #16839894C22semidirect
151. #16839894C22semidirect
152. #16839894C22semidirect
153. #16839894C22semidirect
154. #16839894C22semidirect
155. #16839894C22semidirect
156. #16839894C22semidirect
157. #16839894C22semidirect
158. #16839894C22semidirect
159. #16839894C22semidirect
160. #16839874C22semidirect
161. #16839872C22semidirect
162. #16839872C22semidirect
163. #16839871C22semidirect
164. C4×D488C22semidirect
165. D8×Dic61C22semidirect
166. #16839842C22semidirect
167. #16839836C22semidirect
168. #16839834C22semidirect
169. #16839833C22semidirect
170. #16839832C22semidirect
171. C8×D244C22semidirect
172. C8×C22⋊D61C22semidirect
173. #16839825C22semidirect
174. #16839822C22semidirect
175. #16839821C22semidirect
176. #16839767C22semidirect
177. #16839765C22semidirect
178. #16839759C22semidirect
179. #16839755C22semidirect
180. C2×#14519699C22semidirect
181. C2×#14519698C22semidirect
182. #102×D61C22semidirect
183. #102×D61C22semidirect
184. #16839728C22semidirect
185. #16839727C22semidirect
186. C2×#14519689C22semidirect
187. C22⋊C8×D61C22semidirect
188. C22×D8×C61C22semidirect
189. C22×D8×C61C22semidirect
190. D42×C61C22semidirect
191. D42×C61C22semidirect
192. C61×#493C22semidirect
193. C61×#466C22semidirect
194. C61×#466C22semidirect
195. C61×#459C22semidirect
196. C61×#459C22semidirect
197. C61×#447C22semidirect
198. C61×#447C22semidirect
199. C61×#447C22semidirect
200. C61×#447C22semidirect
201. C4×D8×C61C22semidirect
202. C8×D4×C61C22semidirect
234. C2×D4×D61C23semidirect
238. C2×#11758190C23semidirect
239. C2×#11758200C23semidirect
240. C2×#11758200C23semidirect
241. C2×#11758200C23semidirect
253. C2×#11758199C23semidirect
257. C2×#11758194C23semidirect
258. C2×#11758189C23semidirect
262. C2×C8×D61C23semidirect
267. #14519773C23semidirect
272. #14519769C23semidirect
273. #14519768C23semidirect
304. #14519751C23semidirect
336. #14519748C23semidirect
337. #14519748C23semidirect
367. C4×D244C23semidirect
371. D4×Dic61C23semidirect
372. D4×Dic61C23semidirect
382. #14519736C23semidirect
384. #14519735C23semidirect
396. #14519711C23semidirect
397. #14519711C23semidirect
398. #14519710C23semidirect
399. #14519709C23semidirect
400. #14519708C23semidirect
401. #14519708C23semidirect
402. #14519708C23semidirect
403. C4⋊#92418C23semidirect
404. #14519706C23semidirect
405. #14519706C23semidirect
406. #14519702C23semidirect
407. #14519702C23semidirect
408. #14519702C23semidirect
409. #14519700C23semidirect
416. #14519699C23semidirect
423. #14519698C23semidirect
424. #14519698C23semidirect
425. #14519698C23semidirect
426. #14519698C23semidirect
427. #14519698C23semidirect
428. #14519698C23semidirect
431. #14519697C23semidirect
433. C22⋊#92418C23semidirect
440. #14519689C23semidirect
441. #14519689C23semidirect
442. #14519688C23semidirect
443. #14519687C23semidirect
444. C8×Dic61C23semidirect
450. C22×D4×C61C23semidirect
459. C2×D8×C61C23semidirect
460. C2×D8×C61C23semidirect
461. C2×D8×C61C23semidirect
463. C22×C8×C61C23semidirect
465. #127×C61C23semidirect
471. #121×C61C23semidirect
478. C4×D4×C61C23semidirect
479. #107×C61C23semidirect
480. C4⋊C8×C61C23semidirect
483. #102×C61C23semidirect
484. #102×C61C23semidirect
485. #102×C61C23semidirect
486. #102×C61C23semidirect
488. C22⋊C8×C61C23semidirect
489. C4×C8×C61C23semidirect
1009. D4×D8D61semidirect
1052. C22×D8C2×D61semidirect
1053. C22×D8C2×D61semidirect
1076. D42C2×D61semidirect
1077. D42C2×D61semidirect
1100. #493C2×D61semidirect
1131. #466C2×D61semidirect
1132. #466C2×D61semidirect
1147. #459C2×D61semidirect
1148. #459C2×D61semidirect
1181. #447C2×D61semidirect
1182. #447C2×D61semidirect
1183. #447C2×D61semidirect
1184. #447C2×D61semidirect
1192. C4×D8C2×D61semidirect
1200. C8×D4C2×D61semidirect
1215. C61#61630semidirect
1253. C22×D4C22×D61semidirect
1284. C2×D8C22×D61semidirect
1285. C2×D8C22×D61semidirect
1286. C2×D8C22×D61semidirect
1294. C22×C8C22×D61semidirect
1301. #127C22×D61semidirect
1377. #121C22×D61semidirect
1428. C4×D4C22×D61semidirect
1446. #107C22×D61semidirect
1454. C4⋊C8C22×D61semidirect
1483. #102C22×D61semidirect
1484. #102C22×D61semidirect
1485. #102C22×D61semidirect
1486. #102C22×D61semidirect
1498. C22⋊C8C22×D61semidirect
1502. C4×C8C22×D61semidirect

Maximal subgroups

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

subgroupindex
#214600502
#214594472
#214579672
#214579662
#214579602
#214579532
#214576742
#214576732
#214576712
#214576642
#214574942
D8×C22⋊D612
#214574892
#214572992
#214572972
#214572952
#214572942
#214568682
#214568622
#214566822
#214566792
#214565812
#214565792
#214560602
#214560592
#214550832
#214550822
C2×#168398942
#447×D612
#214548722
D4×D8×C612
#6163061