Finite Group Databasebeta

← #30566096

Subgroups — #30566096

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#21460055C211yesmaximal, characteristic, complemented
2#21459447C211yesmaximal, characteristic, complemented
3#21457961C211yesmaximal, characteristic, complemented
4#21457959C211yesmaximal, characteristic, complemented
5#21457958C211yesmaximal, characteristic, complemented
6#21457672C211yesmaximal, characteristic, complemented
7#21457666C211yesmaximal, characteristic, complemented
8#21457665C211yesmaximal, characteristic, complemented
9#21457663C211yesmaximal, characteristic, complemented
10#21457493C211yesmaximal, characteristic, complemented
11D4×#11758199C211yesmaximal, characteristic, complemented
12#21457491C211yesmaximal, characteristic, complemented
13#21457489C211yesmaximal, characteristic, complemented
14#21457306C211yesmaximal, characteristic, complemented
15#21457304C211yesmaximal, characteristic, complemented
16#21457301C211yesmaximal, characteristic, complemented
17#21457292C211yesmaximal, characteristic, complemented
18#21456870C211yesmaximal, characteristic, complemented
19#21456868C211yesmaximal, characteristic, complemented
20#21456683C211yesmaximal, characteristic, complemented
21#21456681C211yesmaximal, characteristic, complemented
22#21456583C211yesmaximal, characteristic, complemented
23#21456579C211yesmaximal, characteristic, complemented
24#21456064C211yesmaximal, characteristic, complemented
25#21456061C211yesmaximal, characteristic, complemented
26#21455088C211yesmaximal, characteristic, complemented
27#21455082C211yesmaximal, characteristic, complemented
28C2×#16839897C211yesmaximal, characteristic, complemented
29#447×D61C211yesmaximal, characteristic, complemented
30#21454870C211yesmaximal, characteristic, complemented
31C61×#3318C211yesmaximal, characteristic, complemented
32C2×#14519822C2211yescharacteristic, complemented
33C22×D4×D61C2211yescharacteristic, complemented
34C2×#14519805C2211yescharacteristic, complemented
35C2×#14519801C2211yescharacteristic, complemented
36C22×D488C2211yescharacteristic, complemented
37C22×#11758199C2211yescharacteristic, complemented
38C22×#11758199C2211yescharacteristic, complemented
39C2×D8×D61C2211yescharacteristic, complemented
40C2×D8×D61C2211yescharacteristic, complemented
41C2×D8×D61C2211yescharacteristic, complemented
42#16840503—21no—
43#16840502—21no—
44#16840465C2211yescharacteristic, complemented
45#16840460C2211yescharacteristic, complemented
46#16840456C2211yescharacteristic, complemented
47#16840409C2211yescharacteristic, complemented
48#16840408C2211yescharacteristic, complemented
49#16840407C2211yescharacteristic, complemented
50#16840406C2211yescharacteristic, complemented
51#16840401—21no—
52#16840399—21no—
53D4×D244—21no—
54D4×D244C2211yescharacteristic, complemented
55D4×D244C2211yescharacteristic, complemented
56#16840397C2211yescharacteristic, complemented
57#16840396—21no—
58#16840396C2211yescharacteristic, complemented
59#16840396C2211yescharacteristic, complemented
60#16840396C2211yescharacteristic, complemented
61D4×C22⋊D61—21no—
62D4×C22⋊D61C2211yescharacteristic, complemented
63#16840394—21no—
64#16840368C2211yescharacteristic, complemented
65#16840363C2211yescharacteristic, complemented
66#16840351—21no—
67#16840345—21no—
68#16840331C2211yescharacteristic, complemented
69#16840328C2211yescharacteristic, complemented
70#16840328C2211yescharacteristic, complemented
71#16840325C2211yescharacteristic, complemented
72#16840323—21no—
73#16840322—21no—
74#16840320—21no—
75#16840320—21no—
76#16840272C2211yescharacteristic, complemented
77#16840271C2211yescharacteristic
78C2×#14519752C2211yescharacteristic, complemented
79#121×D61C2211yescharacteristic, complemented
80C2×#14519745—21no—
81#120×D61—21no—
82#16840234C2211yescharacteristic, complemented
83#16840151C2211yescharacteristic, complemented
84#16840150C2211yescharacteristic, complemented
85#16840138C2211yescharacteristic, complemented
86#16840137C2211yescharacteristic, complemented
87#16840125C2211yescharacteristic, complemented
88#16840119C2211yescharacteristic, complemented
89#16840115C2211yescharacteristic, complemented
90#16840099C2211yescharacteristic, complemented
91#16840097C2211yescharacteristic, complemented
92#16840089C2211yescharacteristic, complemented
93#16840088C2211yescharacteristic, complemented
94#16840088C2211yescharacteristic, complemented
95#16840088C2211yescharacteristic, complemented
96#16840086C2211yescharacteristic, complemented
97#16840085C2211yescharacteristic, complemented
98#16840085C2211yescharacteristic, complemented
99#16840079C2211yescharacteristic, complemented
100#16840064C2211yescharacteristic, complemented
101#16840061C2211yescharacteristic, complemented
102#16840059C2211yescharacteristic, complemented
103#16840016C2211yescharacteristic, complemented
104#16840015C2211yescharacteristic, complemented
105#16840014C2211yescharacteristic, complemented
106#16839999C2211yescharacteristic, complemented
107#16839997C2211yescharacteristic, complemented
108#16839997C2211yescharacteristic, complemented
109#16839997C2211yescharacteristic, complemented
110#16839996C2211yescharacteristic, complemented
111#16839996C2211yescharacteristic, complemented
112#16839996C2211yescharacteristic, complemented
113#16839992C2211yescharacteristic, complemented
114#16839992C2211yescharacteristic, complemented
115#16839991C2211yescharacteristic, complemented
116#16839989C2211yescharacteristic, complemented
117#16839978C2211yescharacteristic, complemented
118#16839977C2211yescharacteristic, complemented
119#16839976C2211yescharacteristic, complemented
120#16839976C2211yescharacteristic, complemented
121#16839958C2211yescharacteristic, complemented
122#16839957C2211yescharacteristic, complemented
123#16839956C2211yescharacteristic, complemented
124#16839956C2211yescharacteristic, complemented
125#16839956C2211yescharacteristic, complemented
126#16839955C2211yescharacteristic, complemented
127#16839954C2211yescharacteristic, complemented
128#16839915C2211yescharacteristic, complemented
129#16839914C2211yescharacteristic, complemented
130#16839909C2211yescharacteristic, complemented
131#16839908C2211yescharacteristic, complemented
132#16839908C2211yescharacteristic, complemented
133#16839908C2211yescharacteristic, complemented
134#16839908C2211yescharacteristic, complemented
135#16839908C2211yescharacteristic, complemented
136#16839905C2211yescharacteristic, complemented
137#16839904C2211yescharacteristic, complemented
138#16839898C2211yescharacteristic, complemented
139#16839898C2211yescharacteristic, complemented
140#16839897C2211yescharacteristic, complemented
141#16839897C2211yescharacteristic, complemented
142#16839897C2211yescharacteristic, complemented
143#16839897C2211yescharacteristic, complemented
144#16839897C2211yescharacteristic, complemented
145#16839897C2211yescharacteristic, complemented
146#16839897C2211yescharacteristic, complemented
147#16839897C2211yescharacteristic, complemented
148#16839897C2211yescharacteristic, complemented
149#16839897C2211yescharacteristic, complemented
150#16839897C2211yescharacteristic, complemented
151#16839897C2211yescharacteristic, complemented
152#16839897C2211yescharacteristic, complemented
153#16839896C2211yescharacteristic, complemented
154#16839896C2211yescharacteristic, complemented
155#16839895C2211yescharacteristic, complemented
156#16839895C2211yescharacteristic, complemented
157#16839895C2211yescharacteristic, complemented
158#16839894C2211yescharacteristic, complemented
159#16839894C2211yescharacteristic, complemented
160#16839894C2211yescharacteristic, complemented
161#16839894C2211yescharacteristic, complemented
162#16839875C2211yescharacteristic, complemented
163#16839873C2211yescharacteristic, complemented
164#16839871C2211yescharacteristic, complemented
165#16839844C2211yescharacteristic, complemented
166C4×#11758199C2211yescharacteristic, complemented
167C4×#11758199C2211yescharacteristic, complemented
168#16839842C2211yescharacteristic, complemented
169#16839835C2211yescharacteristic, complemented
170#16839831C2211yescharacteristic, complemented
171#16839830C2211yescharacteristic, complemented
172D4×#92418C2211yescharacteristic, complemented
173#16839827C2211yescharacteristic, complemented
174C8×C22⋊D61C2211yescharacteristic, complemented
175#16839825C2211yescharacteristic, complemented
176#16839824C2211yescharacteristic, complemented
177#16839822C2211yescharacteristic, complemented
178#16839765C2211yescharacteristic, complemented
179#16839756C2211yescharacteristic, complemented
180#16839755C2211yescharacteristic, complemented
181C2×#14519697C2211yescharacteristic, complemented
182#102×D61C2211yescharacteristic, complemented
183#102×D61C2211yescharacteristic, complemented
184#16839730C2211yescharacteristic, complemented
185#16839727C2211yescharacteristic, complemented
186C2×#14519689C2211yescharacteristic, complemented
187C22⋊C8×D61C2211yescharacteristic, complemented
188C61×#553C2211yescharacteristic, complemented
189D42×C61C2211yescharacteristic, complemented
190C61×#490C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#481C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#469C2211yescharacteristic, complemented
195C61×#466C2211yescharacteristic, complemented
196C61×#459C2211yescharacteristic, complemented
197C61×#447C2211yescharacteristic, complemented
198C61×#447C2211yescharacteristic, complemented
199C61×#442C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#418C2211yescharacteristic, complemented
202C2×#102×C61C2211yescharacteristic, complemented
203C24×D61—21no—
204#14519822—42no—
205#14519822—42no—
206C2×#11758222C2311yescharacteristic
207C2×#11758222C2311yescharacteristic
208C2×#11758224—21no—
209C2×#11758224C2311yescharacteristic
210C2×#11758224C2311yescharacteristic
211C22×D244—21no—
212C22×D244—21no—
213C22×D244C2311yescharacteristic
214C22×D244C2311yescharacteristic
215C22×D244C2311yescharacteristic, complemented
216C22×C22⋊D61—21no—
217C22×C22⋊D61—21no—
218C22×C22⋊D61—21no—
219C22×C22⋊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—21no—
227C2×D4×D61—21no—
228C2×D4×D61—21no—
229C2×D4×D61—42no—
230C2×D4×D61—42no—
231C2×D4×D61C2311yescharacteristic
232C2×D4×D61C2311yescharacteristic
233C2×D4×D61C2311yescharacteristic
234C2×D4×D61C2311yescharacteristic
235C2×D4×D61C2311yescharacteristic
236C2×D4×D61C2311yescharacteristic
237C2×D4×D61C2311yescharacteristic, complemented
238C22×C4×D61C2311yescharacteristic
239#14519805—42no—
240#14519801—42no—
241C2×#11758190C2311yescharacteristic, complemented
242C2×#11758190C2311yescharacteristic, complemented
243C2×#11758190C2311yescharacteristic, complemented
244C2×#11758200C2311yescharacteristic, complemented
245C2×D488—42no—
246C2×D488C2311yescharacteristic
247C2×D488C2311yescharacteristic
248C2×D488C2311yescharacteristic
249C2×D488C2311yescharacteristic
250C2×D488C2311yescharacteristic
251C2×D488C2311yescharacteristic
252C2×#11758199—42no—
253C2×#11758199—42no—
254C2×#11758199C2311yescharacteristic
255C2×#11758199C2311yescharacteristic
256C2×#11758199C2311yescharacteristic
257C2×#11758199C2311yescharacteristic
258C2×#11758199C2311yescharacteristic
259C2×#11758199C2311yescharacteristic
260C2×#11758199C2311yescharacteristic
261C2×#11758199C2311yescharacteristic
262C2×#11758199C2311yescharacteristic, complemented
263C2×#11758199C2311yescharacteristic, complemented
264C2×#11758199C2311yescharacteristic, complemented
265D8×D61—42no—
266D8×D61—42no—
267D8×D61—42no—
268C2×#11758189C2311yescharacteristic, complemented
269C22×#92418C2311yescharacteristic
270C22×#92418C2311yescharacteristic, complemented
271C2×C8×D61C2311yescharacteristic
272C2×C8×D61C2311yescharacteristic
273C2×C8×D61C2311yescharacteristic, complemented
274#14519774—21no—
275#14519774C2311yescharacteristic, complemented
276#14519773—21no—
277#14519773—21no—
278#14519773C2311yescharacteristic
279#14519773C2311yescharacteristic, complemented
280#14519772—21no—
281#14519772—21no—
282#14519771—21no—
283#14519768C2311yescharacteristic, complemented
284#14519765—21no—
285#14519765C2311yescharacteristic
286#14519764C2311yescharacteristic
287#14519763—21no—
288#14519763—21no—
289#14519762—21no—
290#14519762—21no—
291#14519762—21no—
292#14519762—21no—
293#14519762—21no—
294#14519762D411yescharacteristic
295#14519761—21no—
296#14519760—21no—
297#14519759—21no—
298#14519759—21no—
299#14519759—21no—
300#14519759—21no—
301#14519759D411yescharacteristic
302#14519758—21no—
303#14519757C2311yescharacteristic
304#14519756C2311yescharacteristic
305#14519755D411yescharacteristic
306#14519754D411yescharacteristic
307#14519752—21no—
308#14519752—21no—
309#14519752—21no—
310#14519752—21no—
311#14519752—21no—
312#14519752—21no—
313#14519752C2311yescharacteristic
314#14519752C2311yescharacteristic
315#14519752C2311yescharacteristic
316#14519752C2311yescharacteristic
317#14519752C2311yescharacteristic
318#14519752C2311yescharacteristic
319#14519752C2311yescharacteristic, complemented
320#14519752C2311yescharacteristic, complemented
321#14519751—21no—
322#14519751—21no—
323#14519751—21no—
324#14519751—21no—
325#14519751C2311yescharacteristic
326#14519751C2311yescharacteristic
327#14519751C2311yescharacteristic, complemented
328#14519750—21no—
329#14519750—21no—
330#14519750—21no—
331#14519750—21no—
332#14519750—21no—
333#14519750—21no—
334#14519750—21no—
335#14519750D411yescharacteristic
336#14519749—21no—
337#14519749—21no—
338#14519749—21no—
339#14519749—21no—
340#14519749—21no—
341#14519749D411yescharacteristic
342#14519748—21no—
343#14519748—21no—
344#14519748C2311yescharacteristic
345#14519748C2311yescharacteristic
346#14519748C2311yescharacteristic
347#14519747—21no—
348#14519747—21no—
349#14519747—21no—
350#14519747—21no—
351#14519747—21no—
352#14519747—21no—
353#14519747—21no—
354#14519747—21no—
355#14519747—21no—
356#14519747—21no—
357#14519747—21no—
358#14519747—21no—
359#14519747D411yescharacteristic
360#14519746—21no—
361#14519746—21no—
362#14519745—21no—
363#14519745—21no—
364#14519745—21no—
365#14519745—21no—
366#14519745—21no—
367#14519745—21no—
368#14519745—21no—
369#14519745—21no—
370#14519745—21no—
371#14519745—21no—
372#14519745—21no—
373#14519745—21no—
374#14519745—21no—
375#14519745D411yescharacteristic
376C4×D244—21no—
377C4×D244C2311yescharacteristic
378C4×D244C2311yescharacteristic
379C4×D244C2311yescharacteristic, complemented
380D4×Dic61—21no—
381D4×Dic61C2311yescharacteristic
382#14519739—21no—
383#14519739C2311yescharacteristic
384#14519739C2311yescharacteristic, complemented
385#14519739C2311yescharacteristic, complemented
386C4×C22⋊D61—21no—
387C4×C22⋊D61—21no—
388C4×C22⋊D61C2311yescharacteristic
389C4×C22⋊D61C2311yescharacteristic
390#14519737—21no—
391#14519737—21no—
392#14519735C2311yescharacteristic
393#14519735C2311yescharacteristic, complemented
394#14519734C2311yescharacteristic
395C4⋊C4×D61C2311yescharacteristic
396C2×C22⋊Dic61—21no—
397C2×#11758198—21no—
398C2×#11758198—21no—
399C2×#11758198—21no—
400C22⋊C4×D61—21no—
401C22⋊C4×D61—21no—
402C22⋊C4×D61—21no—
403C22⋊C4×D61—21no—
404#14519710C2311yescharacteristic, complemented
405#14519710C2311yescharacteristic, complemented
406#14519710C2311yescharacteristic, complemented
407#14519709C2311yescharacteristic, complemented
408#14519708C2311yescharacteristic, complemented
409C4⋊#92418C2311yescharacteristic, complemented
410#14519706C2311yescharacteristic, complemented
411#14519706C2311yescharacteristic, complemented
412#14519702C2311yescharacteristic, complemented
413#14519700C2311yescharacteristic, complemented
414#14519700C2311yescharacteristic, complemented
415#14519700C2311yescharacteristic, complemented
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic, complemented
419#14519699C2311yescharacteristic, complemented
420#14519699C2311yescharacteristic, complemented
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic, complemented
424#14519698C2311yescharacteristic, complemented
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic, complemented
432#14519697C2311yescharacteristic, complemented
433#14519697C2311yescharacteristic, complemented
434C22⋊#92418C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic, complemented
436#14519689C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519689C2311yescharacteristic
442#14519689C2311yescharacteristic, complemented
443#14519689C2311yescharacteristic, complemented
444#14519687C2311yescharacteristic, complemented
445C4×#92418C2311yescharacteristic, complemented
446C8×Dic61C2311yescharacteristic, complemented
447C22×D4×C61—21no—
448C22×D4×C61C2311yescharacteristic
449C22×D4×C61C2311yescharacteristic
450C2×D8×C61C2311yescharacteristic
451C2×D8×C61C2311yescharacteristic
452C2×D8×C61C2311yescharacteristic, complemented
453C2×M16×C61C2311yescharacteristic, complemented
454C22×C8×C61C2311yescharacteristic
455#127×C61C2311yescharacteristic
456#126×C61—21no—
457#125×C61C2311yescharacteristic, complemented
458#123×C61—21no—
459#121×C61—21no—
460#121×C61—21no—
461#121×C61C2311yescharacteristic
462#121×C61C2311yescharacteristic
463#121×C61C2311yescharacteristic
464#121×C61C2311yescharacteristic, complemented
465#120×C61—21no—
466#120×C61—21no—
467C4×D4×C61—21no—
468C4×D4×C61C2311yescharacteristic
469C4×D4×C61C2311yescharacteristic
470C4×D4×C61C2311yescharacteristic, complemented
471#117×C61C2311yescharacteristic, complemented
472C2×C4⋊C4×C61C2311yescharacteristic
473#107×C61C2311yescharacteristic, complemented
474#106×C61C2311yescharacteristic, complemented
475#106×C61C2311yescharacteristic, complemented
476C4⋊C8×C61C2311yescharacteristic, complemented
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
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
489#97×C61C2311yescharacteristic, complemented
490C24×C61—21no—
491C24×C61—21no—
492C23×D61—21no—
493C23×D61—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—41no—
517C2×D4×C61—41no—
518C2×D4×C61—82no—
519C2×D4×C61C2×D411yescharacteristic
520C2×D4×C61C2411yescharacteristic
521C2×D4×C61C2411yescharacteristic
522C2×D4×C61C2411yescharacteristic
523C2×D4×C61C2411yescharacteristic
524C22×C4×C61—21no—
525C22×C4×C61—21no—
526C22×C4×C61—21no—
527C22×C4×C61C2411yescharacteristic
528C22×C4×C61C2411yescharacteristic
529C2×C22⋊D61—21no—
530C2×C22⋊D61—21no—
531C2×C22⋊D61—21no—
532C2×C22⋊D61—21no—
533C2×C22⋊D61—21no—
534C2×C22⋊D61—21no—
535C2×C22⋊D61—21no—
536C2×C22⋊D61—21no—
537C2×C22⋊D61—21no—
538C2×C22⋊D61—21no—
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—44no—
550C2×C22⋊D61—44no—
551C2×C22⋊D61—44no—
552C2×C22⋊D61—82no—
553C2×C22⋊D61C2×D411yescharacteristic
554C2×C22⋊D61C2×D411yescharacteristic
555C2×C22⋊D61C2×D411yescharacteristic
556C2×C22⋊D61C2×D411yescharacteristic
557C22×Dic61—21no—
558C22×Dic61—21no—
559C22×Dic61—21no—
560C22×Dic61C2×D411yescharacteristic
561#11758224—22no—
562#11758224—41no—
563#11758224—41no—
564#11758224—41no—
565#11758224—44no—
566D4×D61—22no—
567D4×D61—22no—
568D4×D61—22no—
569D4×D61—22no—
570D4×D61—22no—
571D4×D61—41no—
572D4×D61—41no—
573D4×D61—41no—
574D4×D61—41no—
575D4×D61—41no—
576D4×D61—41no—
577D4×D61—41no—
578D4×D61—41no—
579D4×D61—41no—
580D4×D61—44no—
581D4×D61—44no—
582D4×D61—44no—
583D4×D61—82no—
584D4×D61—82no—
585D4×D61—82no—
586D4×D61—82no—
587D4×D61—82no—
588D4×D61—82no—
589#11758222—22no—
590#11758222—41no—
591#11758222—41no—
592#11758222—41no—
593C2×D244—22no—
594C2×D244—21no—
595C2×D244—21no—
596C2×D244—21no—
597C2×D244—21no—
598C2×D244—21no—
599C2×D244—21no—
600C2×D244—21no—
601C2×D244—21no—
602C2×D244—21no—
603C2×D244—21no—
604C2×D244—21no—
605C2×D244—21no—
606C2×D244—21no—
607C2×D244—41no—
608C2×D244—41no—
609C2×D244—41no—
610C2×D244—41no—
611C2×D244—41no—
612C2×D244—82no—
613C2×D244—82no—
614C2×D244C2×D411yescharacteristic
615C2×D244C2×D411yescharacteristic
616C2×D244C2411yescharacteristic
617C2×D244C2411yescharacteristic
618C2×D244C2411yescharacteristic
619C2×D244C2411yescharacteristic
620C2×D244C2411yescharacteristic
621C2×C4×D61—21no—
622C2×C4×D61—21no—
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—41no—
639D8×C61—41no—
640M16×C61—41no—
641C2×C8×C61—41no—
642C2×C8×C61C2411yescharacteristic
643C2×C8×C61C2411yescharacteristic
644C2×C8×C61C2411yescharacteristic
645C2×C8×C61C2411yescharacteristic
646C4⋊C4×C61—21no—
647C4⋊C4×C61—21no—
648C4⋊C4×C61—21no—
649C4⋊C4×C61C2×D411yescharacteristic
650C4⋊C4×C61C2411yescharacteristic
651C4⋊C4×C61C2411yescharacteristic
652C4⋊C4×C61C2411yescharacteristic
653C4⋊C4×C61C2411yescharacteristic
654C22⋊C4×C61—21no—
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×C61—21no—
664C42×C61C2411yescharacteristic
665C22⋊Dic61—21no—
666C22⋊Dic61—21no—
667C22⋊Dic61—21no—
668C22⋊Dic61—21no—
669C22⋊Dic61—21no—
670C22⋊Dic61—21no—
671C22⋊Dic61—21no—
672C22⋊Dic61C2×D411yescharacteristic
673C22⋊Dic61C2×D411yescharacteristic
674#11758200—41no—
675#11758199—22no—
676#11758199—22no—
677#11758199—22no—
678#11758199—22no—
679#11758199—41no—
680#11758199—41no—
681#11758199—41no—
682#11758199—41no—
683#11758199—41no—
684#11758199—41no—
685#11758199—41no—
686#11758198—21no—
687#11758198—21no—
688#11758198—21no—
689#11758198—21no—
690#11758198—21no—
691#11758198—21no—
692#11758198—21no—
693#11758198—21no—
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⋊Dic61C2×D411yescharacteristic
716C4⋊Dic61C2411yescharacteristic
717C4⋊Dic61C2411yescharacteristic
718#11758196—21no—
719#11758196—21no—
720#11758196—21no—
721#11758196C2×D411yescharacteristic
722#11758196C2×D411yescharacteristic
723#11758196C2×D411yescharacteristic
724#11758196C2×D411yescharacteristic
725C4×Dic61—21no—
726C4×Dic61—21no—
727C4×Dic61C2411yescharacteristic
728C2×#92418—41no—
729C2×#92418—41no—
730C2×#92418C2411yescharacteristic
731C2×#92418C2411yescharacteristic
732C2×#92418C2411yescharacteristic
733C2×#92418C2411yescharacteristic
734D488—22no—
735D488—22no—
736D488—22no—
737D488—41no—
738D488—41no—
739D488—41no—
740#11758190—41no—
741#11758190—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—42no—
752C23×C61—42no—
753C23×C61—42no—
754C23×C61—81no—
755C23×C61—81no—
756C23×C61—81no—
757C23×C61C22×D411yescharacteristic
758C23×C61C22×D411yescharacteristic
759C22×D61—22no—
760C22×D61—21no—
761C22×D61—24no—
762C22×D61—22no—
763C22×D61—21no—
764C22×D61—21no—
765C22×D61—21no—
766C22×D61—21no—
767C22×D61—41no—
768C22×D61—42no—
769C22×D61—42no—
770C22×D61—42no—
771C22×D61—42no—
772C22×D61—42no—
773C22×D61—42no—
774C22×D61—42no—
775C22×D61—42no—
776C22×D61—42no—
777C22×D61—42no—
778C22×D61—81no—
779C22×D61—81no—
780C22×D61—81no—
781C22×D61—81no—
782C22×D61—81no—
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—42no—
810D4×C61—42no—
811D4×C61—42no—
812D4×C61—42no—
813D4×C61—81no—
814D4×C61—81no—
815D4×C61—81no—
816D4×C61—81no—
817D4×C61H(5,𝔽2)12yes—
818C2×C4×C61—21no—
819C2×C4×C61—21no—
820C2×C4×C61—21no—
821C2×C4×C61—21no—
822C2×C4×C61—21no—
823C2×C4×C61—21no—
824C2×C4×C61—21no—
825C2×C4×C61—21no—
826C2×C4×C61—81no—
827C2×C4×C61—81no—
828C2×C4×C61—81no—
829C2×C4×C61C22×D411yescharacteristic
830C2×C4×C61C22×D411yescharacteristic
831C2×C4×C61C22×D411yescharacteristic
832C2×C4×C61C22×D411yescharacteristic
833C2×C4×C61C2511yescharacteristic
834C22⋊D61—24no—
835C22⋊D61—22no—
836C22⋊D61—22no—
837C22⋊D61—41no—
838C22⋊D61—41no—
839C22⋊D61—42no—
840C22⋊D61—42no—
841C22⋊D61—42no—
842C22⋊D61—42no—
843C22⋊D61—42no—
844C22⋊D61—42no—
845C22⋊D61—42no—
846C22⋊D61—42no—
847C22⋊D61—42no—
848C22⋊D61—81no—
849C22⋊D61—81no—
850C22⋊D61—81no—
851C22⋊D61—81no—
852C22⋊D61—81no—
853C22⋊D61—81no—
854C22⋊D61—81no—
855C22⋊D61—81no—
856C22⋊D61—81no—
857C22⋊D61—81no—
858C2×Dic61—21no—
859C2×Dic61—21no—
860C2×Dic61—21no—
861C2×Dic61—41no—
862C2×Dic61—42no—
863C2×Dic61—42no—
864C2×Dic61—81no—
865C2×Dic61C22×D411yescharacteristic
866C2×Dic61C22×D411yescharacteristic
867C2×Dic61C22×D411yescharacteristic
868C2×Dic61C22×D411yescharacteristic
869C2×Dic61C22×D411yescharacteristic
870D244—22no—
871D244—21no—
872D244—21no—
873D244—21no—
874D244—21no—
875D244—21no—
876D244—21no—
877D244—21no—
878D244—21no—
879D244—21no—
880D244—41no—
881D244—42no—
882D244—42no—
883D244—42no—
884D244—81no—
885D244—81no—
886D244—81no—
887D244—81no—
888D244—81no—
889D244—81no—
890D244—81no—
891D244—81no—
892D244—81no—
893D244—81no—
894D244H(5,𝔽2)12yes—
895C4×D61—21no—
896C4×D61—21no—
897C4×D61—21no—
898C4×D61—21no—
899C4×D61—21no—
900C4×D61—21no—
901C4×D61—41no—
902C4×D61—41no—
903C4×D61—42no—
904C4×D61—81no—
905C4×D61—81no—
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—84no—
940C22×C61—162no—
941C22×C61#57612yes—
942C22×C61C23×D411yescharacteristic
943C2×D61—21no—
944C2×D61—21no—
945C2×D61—21no—
946C2×D61—21no—
947C2×D61—22no—
948C2×D61—21no—
949C2×D61—21no—
950C2×D61—21no—
951C2×D61—21no—
952C2×D61—44no—
953C2×D61—41no—
954C2×D61—41no—
955C2×D61—41no—
956C2×D61—41no—
957C2×D61—41no—
958C2×D61—41no—
959C2×D61—41no—
960C2×D61—41no—
961C2×D61—41no—
962C2×D61—41no—
963C2×D61—41no—
964C2×D61—41no—
965C2×D61—41no—
966C2×D61—41no—
967C2×D61—84no—
968C2×D61—84no—
969C2×D61—84no—
970C2×D61—84no—
971C2×D61—84no—
972C2×D61—162no—
973C2×D61—162no—
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×C61—41no—
985C4×C61—41no—
986C4×C61C2×H(5,𝔽2)11yescharacteristic
987C4×C61C2×H(5,𝔽2)11yescharacteristic
988Dic61—21no—
989Dic61—21no—
990Dic61—21no—
991Dic61—21no—
992Dic61—21no—
993Dic61—41no—
994Dic61—41no—
995Dic61—41no—
996#3537—611no—
997#3484—611no—
998#3318—611no—
999#3318—611no—
1000#3318—611no—
1001#3318D6111yescharacteristic, complemented
1002#3297—611no—
1003#3297—611no—
1004#3297—611no—
1005#3297—611no—
1006D4×D8—611no—
1007D4×D8—611no—
1008D4×D8—611no—
1009D4×D8—611no—
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#348411yescharacteristic
1034C2×C61C2×#57611yescharacteristic
1035C2×C61C2×#57611yescharacteristic
1036D61—22no—
1037D61—41no—
1038D61—41no—
1039D61—42no—
1040D61—81no—
1041D61—81no—
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×D8—611no—
1053C22×D8—611no—
1054#560—1221no—
1055#560—1221no—
1056#553—611no—
1057#553—611no—
1058#553—611no—
1059#553C2×D6111yescharacteristic, complemented
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—611no—
1073D42—1221no—
1074D42—1221no—
1075D42—1221no—
1076D42—1221no—
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#493—611no—
1101#490—611no—
1102#490C2×D6111yescharacteristic, complemented
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#482C2×D6111yescharacteristic, complemented
1115#481—611no—
1116#481C2×D6111yescharacteristic, complemented
1117#478—611no—
1118#478—611no—
1119#478—611no—
1120#478C2×D6111yescharacteristic, complemented
1121#469—611no—
1122#469—611no—
1123#469—611no—
1124#469C2×D6111yescharacteristic, complemented
1125#466—611no—
1126#466—611no—
1127#466—611no—
1128#466—611no—
1129#466—611no—
1130#466—611no—
1131#466—611no—
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#459—611no—
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#447—611no—
1182#447—611no—
1183#447C2×D6111yescharacteristic, complemented
1184#447C2×D6111yescharacteristic, complemented
1185#442—611no—
1186#442—611no—
1187#442—611no—
1188#442C2×D6111yescharacteristic, complemented
1189C4×D8—611no—
1190C4×D8—611no—
1191C4×D8—611no—
1192C4×D8—611no—
1193#435—611no—
1194#435—611no—
1195#435—611no—
1196#435C2×D6111yescharacteristic, complemented
1197C8×D4—611no—
1198C8×D4—611no—
1199C8×D4—611no—
1200C8×D4—611no—
1201#433—611no—
1202#433—611no—
1203#418—611no—
1204#418C2×D6111yescharacteristic, complemented
1205#416—611no—
1206#416—611no—
1207C2×#102—611no—
1208C2×#102—611no—
1209C2×#102—611no—
1210C2×#102C2×D6111yescharacteristic, complemented
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—611no—
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—611no—
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—1221no—
1249C22×D4—1221no—
1250C22×D4—2442no—
1251C22×D4—2442no—
1252C22×D4C22×D6111yescharacteristic
1253C22×D4C22×D6111yescharacteristic
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—611no—
1262C2×D8—611no—
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—611no—
1275C2×D8—611no—
1276C2×D8—611no—
1277C2×D8—611no—
1278C2×D8—2442no—
1279C2×D8—2442no—
1280C2×D8—2442no—
1281C2×D8—2442no—
1282C2×D8—2442no—
1283C2×D8—2442no—
1284C2×D8C22×D6111yescharacteristic
1285C2×D8C22×D6111yescharacteristic
1286C2×D8C22×D6111yescharacteristic, complemented
1287C2×M16—611no—
1288C2×M16C22×D6111yescharacteristic, complemented
1289C22×C8—611no—
1290C22×C8—611no—
1291C22×C8—611no—
1292C22×C8—611no—
1293C22×C8—611no—
1294C22×C8C22×D6111yescharacteristic
1295#127—611no—
1296#127—611no—
1297#127—611no—
1298#127—1221no—
1299#127—1221no—
1300#127—1221no—
1301#127C22×D6111yescharacteristic
1302#126—21no—
1303#126—1221no—
1304#126—1221no—
1305#126—1221no—
1306#125—611no—
1307#125C22×D6111yescharacteristic, complemented
1308#124—611no—
1309#124—611no—
1310#124—1221no—
1311#124—1221no—
1312#124—1221no—
1313#123—21no—
1314#123—611no—
1315#123—611no—
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—611no—
1381#120—611no—
1382#120—1221no—
1383#120—1221no—
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—21no—
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—611no—
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#117C22×D6111yescharacteristic, complemented
1433C2×C4⋊C4—611no—
1434C2×C4⋊C4C22×D6111yescharacteristic
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#106C22×D6111yescharacteristic, complemented
1450#106C22×D6111yescharacteristic, complemented
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#102C22×D6111yescharacteristic
1478#102C22×D6111yescharacteristic
1479#102C22×D6111yescharacteristic
1480#102C22×D6111yescharacteristic
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#97C22×D6111yescharacteristic, complemented
1501C4×C8—611no—
1502C4×C8—611no—
1503C24—21no—
1504C24—21no—
1505C24—611no—
1506C24—1221no—
1507C24—1221no—
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—41no—
1541C2×D4—41no—
1542C2×D4—82no—
1543C2×D4—611no—
1544C2×D4—611no—
1545C2×D4—611no—
1546C2×D4—611no—
1547C2×D4—611no—
1548C2×D4—611no—
1549C2×D4—611no—
1550C2×D4—611no—
1551C2×D4—611no—
1552C2×D4—611no—
1553C2×D4—611no—
1554C2×D4—1222no—
1555C2×D4—1221no—
1556C2×D4—1221no—
1557C2×D4—1221no—
1558C2×D4—1221no—
1559C2×D4—1221no—
1560C2×D4—1221no—
1561C2×D4—1221no—
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—1222no—
1575C2×D4—1222no—
1576C2×D4—1222no—
1577C2×D4—1222no—
1578C2×D4—1222no—
1579C2×D4—1221no—
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—4882no—
1594C2×D4—4882no—
1595C2×D4—4882no—
1596C2×D4—4882no—
1597C2×D4—4882no—
1598C2×D4—4882no—
1599C2×D4—4882no—
1600C2×D4—4882no—
1601C2×D4—4882no—
1602C2×D4—2441no—
1603C2×D4—2441no—
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—2441no—
1615C2×D4—2441no—
1616C2×D4—2444no—
1617C2×D4—2444no—
1618C2×D4—2444no—
1619C2×D4—2444no—
1620C2×D4—2444no—
1621C2×D4—2444no—
1622C2×D4D4×D6111yescharacteristic
1623C2×D4C23×D6111yescharacteristic
1624C2×D4C23×D6111yescharacteristic
1625C2×D4C23×D6111yescharacteristic
1626C2×D4C23×D6111yescharacteristic
1627C22×C4—21no—
1628C22×C4—21no—
1629C22×C4—21no—
1630C22×C4—611no—
1631C22×C4—611no—
1632C22×C4—611no—
1633C22×C4—611no—
1634C22×C4—611no—
1635C22×C4—611no—
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—41no—
1656D8—41no—
1657D8—1222no—
1658D8—1222no—
1659D8—1222no—
1660D8—1222no—
1661D8—1222no—
1662D8—1222no—
1663D8—1222no—
1664D8—2441no—
1665D8—2441no—
1666D8—2441no—
1667D8—2441no—
1668D8—2441no—
1669D8—2441no—
1670D8—2441no—
1671D8—2441no—
1672D8—2441no—
1673D8—2441no—
1674M16—41no—
1675M16—2441no—
1676C2×C8—41no—
1677C2×C8—611no—
1678C2×C8—611no—
1679C2×C8—611no—
1680C2×C8—611no—
1681C2×C8—2441no—
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—21no—
1691C4⋊C4—21no—
1692C4⋊C4—21no—
1693C4⋊C4—611no—
1694C4⋊C4—611no—
1695C4⋊C4—611no—
1696C4⋊C4—611no—
1697C4⋊C4—611no—
1698C4⋊C4—611no—
1699C4⋊C4—611no—
1700C4⋊C4—1221no—
1701C4⋊C4—1221no—
1702C4⋊C4—1221no—
1703C4⋊C4—1221no—
1704C4⋊C4—1221no—
1705C4⋊C4D4×D6111yescharacteristic
1706C4⋊C4C23×D6111yescharacteristic
1707C4⋊C4C23×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—21no—
1717C22⋊C4—611no—
1718C22⋊C4—611no—
1719C22⋊C4—611no—
1720C22⋊C4—611no—
1721C22⋊C4—611no—
1722C22⋊C4—611no—
1723C22⋊C4—611no—
1724C22⋊C4—611no—
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—21no—
1756C42—611no—
1757C42—1221no—
1758C42—1221no—
1759C42C23×D6111yescharacteristic
1760C23—21no—
1761C23—21no—
1762C23—21no—
1763C23—21no—
1764C23—42no—
1765C23—42no—
1766C23—42no—
1767C23—81no—
1768C23—81no—
1769C23—81no—
1770C23—611no—
1771C23—611no—
1772C23—611no—
1773C23—1222no—
1774C23—1224no—
1775C23—1222no—
1776C23—1221no—
1777C23—1221no—
1778C23—1221no—
1779C23—1221no—
1780C23—1221no—
1781C23—4881no—
1782C23—4881no—
1783C23—4881no—
1784C23—4881no—
1785C23—4881no—
1786C23—4881no—
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—48816no—
1801C23—2441no—
1802C23—2442no—
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—42no—
1826D4—42no—
1827D4—42no—
1828D4—42no—
1829D4—81no—
1830D4—81no—
1831D4—81no—
1832D4—81no—
1833D4—612no—
1834D4—1222no—
1835D4—1222no—
1836D4—1224no—
1837D4—1222no—
1838D4—1221no—
1839D4—1221no—
1840D4—1221no—
1841D4—1221no—
1842D4—1221no—
1843D4—1221no—
1844D4—1221no—
1845D4—1221no—
1846D4—1221no—
1847D4—4881no—
1848D4—4881no—
1849D4—4881no—
1850D4—4881no—
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—2442no—
1870D4—2442no—
1871D4—2441no—
1872D4—2441no—
1873D4—2442no—
1874D4—2442no—
1875D4—2442no—
1876D4—2442no—
1877D4—2442no—
1878D4—2442no—
1879D4—2442no—
1880D4—2442no—
1881D4—2442no—
1882D4#1451982312yes—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—21no—
1887C2×C4—21no—
1888C2×C4—21no—
1889C2×C4—21no—
1890C2×C4—21no—
1891C2×C4—81no—
1892C2×C4—81no—
1893C2×C4—81no—
1894C2×C4—611no—
1895C2×C4—611no—
1896C2×C4—611no—
1897C2×C4—611no—
1898C2×C4—611no—
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—1221no—
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—84no—
1952C22—162no—
1953C22—612no—
1954C22—1221no—
1955C22—1221no—
1956C22—1221no—
1957C22—1221no—
1958C22—1221no—
1959C22—1221no—
1960C22—1221no—
1961C22—1221no—
1962C22—1222no—
1963C22—9762no—
1964C22—9762no—
1965C22—9762no—
1966C22—9762no—
1967C22—9762no—
1968C22—4884no—
1969C22—4884no—
1970C22—4884no—
1971C22—4884no—
1972C22—4884no—
1973C22—2444no—
1974C22—2441no—
1975C22—2441no—
1976C22—2441no—
1977C22—2441no—
1978C22—2441no—
1979C22—2441no—
1980C22—2441no—
1981C22—2441no—
1982C22—2441no—
1983C22—2441no—
1984C22—2441no—
1985C22—2441no—
1986C22—2441no—
1987C22—2441no—
1988C22#1684056612yes—
1989C22C22×D4×D6111yescharacteristic
1990C4—21no—
1991C4—21no—
1992C4—21no—
1993C4—21no—
1994C4—41no—
1995C4—41no—
1996C4—41no—
1997C4—41no—
1998C4—1221no—
1999C4—1221no—
2000C4—1221no—
2001C4—1221no—
2002C4—1221no—
2003C4—2441no—
2004C4—2441no—
2005C4—2441no—
2006C4H(5,𝔽2)×D6111yescharacteristic
2007C4C2×#1451982311yescharacteristic
2008C2—22no—
2009C2—41no—
2010C2—42no—
2011C2—81no—
2012C2—81no—
2013C2—81no—
2014C2—1222no—
2015C2—4881no—
2016C2—4881no—
2017C2—4881no—
2018C2—4881no—
2019C2—2441no—
2020C2—2441no—
2021C2—2442no—
2022C2#2145944911yescharacteristic
2023C2#576×D6111yescharacteristic
2024C2C2×#1684056611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3318C2
socleC22×C61C23×D4
hypercenter#3318D61
hypocenterC61#61630
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #21460055C2semidirect
2. #21459447C2semidirect
3. #21457961C2semidirect
4. #21457959C2semidirect
5. #21457958C2semidirect
6. #21457672C2semidirect
7. #21457666C2semidirect
8. #21457665C2semidirect
9. #21457663C2semidirect
10. #21457493C2semidirect
11. D4×#11758199C2semidirect
12. #21457491C2semidirect
13. #21457489C2semidirect
14. #21457306C2semidirect
15. #21457304C2semidirect
16. #21457301C2semidirect
17. #21457292C2semidirect
18. #21456870C2semidirect
19. #21456868C2semidirect
20. #21456683C2semidirect
21. #21456681C2semidirect
22. #21456583C2semidirect
23. #21456579C2semidirect
24. #21456064C2semidirect
25. #21456061C2semidirect
26. #21455088C2semidirect
27. #21455082C2semidirect
28. C2×#16839897C2semidirect
29. #447×D61C2semidirect
30. #21454870C2semidirect
31. C61×#3318C2semidirect
32. C2×#14519822C22semidirect
33. C22×D4×D61C22semidirect
34. C2×#14519805C22semidirect
35. C2×#14519801C22semidirect
36. C22×D488C22semidirect
37. C22×#11758199C22semidirect
38. C22×#11758199C22semidirect
39. C2×D8×D61C22semidirect
40. C2×D8×D61C22semidirect
41. C2×D8×D61C22semidirect
44. #16840465C22semidirect
45. #16840460C22semidirect
46. #16840456C22semidirect
47. #16840409C22semidirect
48. #16840408C22semidirect
49. #16840407C22semidirect
50. #16840406C22semidirect
54. D4×D244C22semidirect
55. D4×D244C22semidirect
56. #16840397C22semidirect
58. #16840396C22semidirect
59. #16840396C22semidirect
60. #16840396C22semidirect
62. D4×C22⋊D61C22semidirect
64. #16840368C22semidirect
65. #16840363C22semidirect
68. #16840331C22semidirect
69. #16840328C22semidirect
70. #16840328C22semidirect
71. #16840325C22semidirect
76. #16840272C22semidirect
78. C2×#14519752C22semidirect
79. #121×D61C22semidirect
82. #16840234C22semidirect
83. #16840151C22semidirect
84. #16840150C22semidirect
85. #16840138C22semidirect
86. #16840137C22semidirect
87. #16840125C22semidirect
88. #16840119C22semidirect
89. #16840115C22semidirect
90. #16840099C22semidirect
91. #16840097C22semidirect
92. #16840089C22semidirect
93. #16840088C22semidirect
94. #16840088C22semidirect
95. #16840088C22semidirect
96. #16840086C22semidirect
97. #16840085C22semidirect
98. #16840085C22semidirect
99. #16840079C22semidirect
100. #16840064C22semidirect
101. #16840061C22semidirect
102. #16840059C22semidirect
103. #16840016C22semidirect
104. #16840015C22semidirect
105. #16840014C22semidirect
106. #16839999C22semidirect
107. #16839997C22semidirect
108. #16839997C22semidirect
109. #16839997C22semidirect
110. #16839996C22semidirect
111. #16839996C22semidirect
112. #16839996C22semidirect
113. #16839992C22semidirect
114. #16839992C22semidirect
115. #16839991C22semidirect
116. #16839989C22semidirect
117. #16839978C22semidirect
118. #16839977C22semidirect
119. #16839976C22semidirect
120. #16839976C22semidirect
121. #16839958C22semidirect
122. #16839957C22semidirect
123. #16839956C22semidirect
124. #16839956C22semidirect
125. #16839956C22semidirect
126. #16839955C22semidirect
127. #16839954C22semidirect
128. #16839915C22semidirect
129. #16839914C22semidirect
130. #16839909C22semidirect
131. #16839908C22semidirect
132. #16839908C22semidirect
133. #16839908C22semidirect
134. #16839908C22semidirect
135. #16839908C22semidirect
136. #16839905C22semidirect
137. #16839904C22semidirect
138. #16839898C22semidirect
139. #16839898C22semidirect
140. #16839897C22semidirect
141. #16839897C22semidirect
142. #16839897C22semidirect
143. #16839897C22semidirect
144. #16839897C22semidirect
145. #16839897C22semidirect
146. #16839897C22semidirect
147. #16839897C22semidirect
148. #16839897C22semidirect
149. #16839897C22semidirect
150. #16839897C22semidirect
151. #16839897C22semidirect
152. #16839897C22semidirect
153. #16839896C22semidirect
154. #16839896C22semidirect
155. #16839895C22semidirect
156. #16839895C22semidirect
157. #16839895C22semidirect
158. #16839894C22semidirect
159. #16839894C22semidirect
160. #16839894C22semidirect
161. #16839894C22semidirect
162. #16839875C22semidirect
163. #16839873C22semidirect
164. #16839871C22semidirect
165. #16839844C22semidirect
166. C4×#11758199C22semidirect
167. C4×#11758199C22semidirect
168. #16839842C22semidirect
169. #16839835C22semidirect
170. #16839831C22semidirect
171. #16839830C22semidirect
172. D4×#92418C22semidirect
173. #16839827C22semidirect
174. C8×C22⋊D61C22semidirect
175. #16839825C22semidirect
176. #16839824C22semidirect
177. #16839822C22semidirect
178. #16839765C22semidirect
179. #16839756C22semidirect
180. #16839755C22semidirect
181. C2×#14519697C22semidirect
182. #102×D61C22semidirect
183. #102×D61C22semidirect
184. #16839730C22semidirect
185. #16839727C22semidirect
186. C2×#14519689C22semidirect
187. C22⋊C8×D61C22semidirect
188. C61×#553C22semidirect
189. D42×C61C22semidirect
190. C61×#490C22semidirect
191. C61×#482C22semidirect
192. C61×#481C22semidirect
193. C61×#478C22semidirect
194. C61×#469C22semidirect
195. C61×#466C22semidirect
196. C61×#459C22semidirect
197. C61×#447C22semidirect
198. C61×#447C22semidirect
199. C61×#442C22semidirect
200. C61×#435C22semidirect
201. C61×#418C22semidirect
202. C2×#102×C61C22semidirect
215. C22×D244C23semidirect
237. C2×D4×D61C23semidirect
241. C2×#11758190C23semidirect
242. C2×#11758190C23semidirect
243. C2×#11758190C23semidirect
244. C2×#11758200C23semidirect
262. C2×#11758199C23semidirect
263. C2×#11758199C23semidirect
264. C2×#11758199C23semidirect
268. C2×#11758189C23semidirect
270. C22×#92418C23semidirect
273. C2×C8×D61C23semidirect
275. #14519774C23semidirect
279. #14519773C23semidirect
283. #14519768C23semidirect
319. #14519752C23semidirect
320. #14519752C23semidirect
327. #14519751C23semidirect
379. C4×D244C23semidirect
384. #14519739C23semidirect
385. #14519739C23semidirect
393. #14519735C23semidirect
404. #14519710C23semidirect
405. #14519710C23semidirect
406. #14519710C23semidirect
407. #14519709C23semidirect
408. #14519708C23semidirect
409. C4⋊#92418C23semidirect
410. #14519706C23semidirect
411. #14519706C23semidirect
412. #14519702C23semidirect
413. #14519700C23semidirect
414. #14519700C23semidirect
415. #14519700C23semidirect
418. #14519699C23semidirect
419. #14519699C23semidirect
420. #14519699C23semidirect
423. #14519698C23semidirect
424. #14519698C23semidirect
431. #14519697C23semidirect
432. #14519697C23semidirect
433. #14519697C23semidirect
435. C22⋊#92418C23semidirect
442. #14519689C23semidirect
443. #14519689C23semidirect
444. #14519687C23semidirect
445. C4×#92418C23semidirect
446. C8×Dic61C23semidirect
452. C2×D8×C61C23semidirect
453. C2×M16×C61C23semidirect
457. #125×C61C23semidirect
464. #121×C61C23semidirect
470. C4×D4×C61C23semidirect
471. #117×C61C23semidirect
473. #107×C61C23semidirect
474. #106×C61C23semidirect
475. #106×C61C23semidirect
476. C4⋊C8×C61C23semidirect
483. #102×C61C23semidirect
484. #102×C61C23semidirect
485. #102×C61C23semidirect
486. #102×C61C23semidirect
488. C22⋊C8×C61C23semidirect
489. #97×C61C23semidirect
1001. #3318D61semidirect
1059. #553C2×D61semidirect
1077. D42C2×D61semidirect
1102. #490C2×D61semidirect
1114. #482C2×D61semidirect
1116. #481C2×D61semidirect
1120. #478C2×D61semidirect
1124. #469C2×D61semidirect
1132. #466C2×D61semidirect
1148. #459C2×D61semidirect
1183. #447C2×D61semidirect
1184. #447C2×D61semidirect
1188. #442C2×D61semidirect
1196. #435C2×D61semidirect
1204. #418C2×D61semidirect
1210. C2×#102C2×D61semidirect
1215. C61#61630semidirect
1286. C2×D8C22×D61semidirect
1288. C2×M16C22×D61semidirect
1307. #125C22×D61semidirect
1377. #121C22×D61semidirect
1428. C4×D4C22×D61semidirect
1432. #117C22×D61semidirect
1446. #107C22×D61semidirect
1449. #106C22×D61semidirect
1450. #106C22×D61semidirect
1454. C4⋊C8C22×D61semidirect
1483. #102C22×D61semidirect
1484. #102C22×D61semidirect
1485. #102C22×D61semidirect
1486. #102C22×D61semidirect
1498. C22⋊C8C22×D61semidirect
1500. #97C22×D61semidirect

Maximal subgroups

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

subgroupindex
#214600552
#214594472
#214579612
#214579592
#214579582
#214576722
#214576662
#214576652
#214576632
#214574932
D4×#117581992
#214574912
#214574892
#214573062
#214573042
#214573012
#214572922
#214568702
#214568682
#214566832
#214566812
#214565832
#214565792
#214560642
#214560612
#214550882
#214550822
C2×#168398972
#447×D612
#214548702
C61×#33182
#6163061