Finite Group Databasebeta

← #30562576

Subgroups — #30562576

Order 15616.

2010 conjugacy classes of subgroups.

The subgroup lattice has 1826 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459847C211yesmaximal, characteristic, complemented
2#21459838C211yesmaximal, characteristic, complemented
3#21458790C211yesmaximal, characteristic, complemented
4#21458681C211yesmaximal, characteristic, complemented
5#21458527C211yesmaximal, characteristic, complemented
6#21458523C211yesmaximal, characteristic, complemented
7#21458236C211yesmaximal, characteristic, complemented
8#21458219C211yesmaximal, characteristic, complemented
9#21458215C211yesmaximal, characteristic, complemented
10#21458057C211yesmaximal, characteristic, complemented
11#21458056C211yesmaximal, characteristic, complemented
12#21457966C211yesmaximal, characteristic, complemented
13#21457962C211yesmaximal, characteristic, complemented
14#21457956C211yesmaximal, characteristic, complemented
15D4×#11758199C211yesmaximal, characteristic, complemented
16#21457489C211yesmaximal, characteristic, complemented
17#21457489C211yesmaximal, characteristic, complemented
18#21456468C211yesmaximal, characteristic, complemented
19#21456464C211yesmaximal, characteristic, complemented
20#21456393C211yesmaximal, characteristic, complemented
21#21456064C211yesmaximal, characteristic, complemented
22#21456060C211yesmaximal, characteristic, complemented
23#21456058C211yesmaximal, characteristic, complemented
24#21456056C211yesmaximal, characteristic, complemented
25#21455907C211yesmaximal, characteristic, complemented
26#21455905C211yesmaximal, characteristic, complemented
27#21454789C211yesmaximal, characteristic, complemented
28#21454668C211yesmaximal, characteristic, complemented
29#21454667C211yesmaximal, characteristic, complemented
30C2×#16839842C211yesmaximal, characteristic, complemented
31C61×#3318C211yesmaximal, characteristic, complemented
32C22×#11758199C2211yescharacteristic
33C22×#11758199C2211yescharacteristic
34C2×D8×D61C2211yescharacteristic
35#16840476C2211yescharacteristic, complemented
36#16840475C2211yescharacteristic, complemented
37#16840471C2211yescharacteristic, complemented
38#16840468C2211yescharacteristic, complemented
39#16840464C2211yescharacteristic, complemented
40#16840463—21no—
41#16840460C2211yescharacteristic, complemented
42#16840458C2211yescharacteristic, complemented
43#16840455—21no—
44#16840433C2211yescharacteristic, complemented
45#16840432C2211yescharacteristic, complemented
46#16840407—21no—
47#16840406—21no—
48#16840404—21no—
49#16840401—21no—
50#16840399—21no—
51#16840399—21no—
52D4×D244C2211yescharacteristic, complemented
53#16840396C2211yescharacteristic, complemented
54#16840396C2211yescharacteristic, complemented
55D4×C22⋊D61C2211yescharacteristic, complemented
56D4×C22⋊D61C2211yescharacteristic, complemented
57#16840368C2211yescharacteristic, complemented
58#16840366C2211yescharacteristic, complemented
59#16840365C2211yescharacteristic, complemented
60#16840365C2211yescharacteristic, complemented
61#16840351—21no—
62#16840349—21no—
63#16840348—21no—
64#16840347—21no—
65#16840307C2211yescharacteristic, complemented
66#16840307C2211yescharacteristic, complemented
67#16840292C2211yescharacteristic
68#16840271—21no—
69#16840268—21no—
70C2×#14519749—21no—
71#121×D61—21no—
72#16840237C2211yescharacteristic, complemented
73#16840236C2211yescharacteristic, complemented
74#16840234C2211yescharacteristic, complemented
75#16840234C2211yescharacteristic, complemented
76C2×D4×Dic61C2211yescharacteristic, complemented
77C2×#14519739C2211yescharacteristic, complemented
78#16840166C2211yescharacteristic, complemented
79#16840162C2211yescharacteristic, complemented
80#16840161C2211yescharacteristic, complemented
81#16840138C2211yescharacteristic, complemented
82#16840137C2211yescharacteristic, complemented
83#16840137C2211yescharacteristic, complemented
84#16840127C2211yescharacteristic, complemented
85#16840125C2211yescharacteristic, complemented
86#16840125C2211yescharacteristic, complemented
87#16840107C2211yescharacteristic, complemented
88#16840107C2211yescharacteristic, complemented
89#16840089C2211yescharacteristic, complemented
90#16840088C2211yescharacteristic, complemented
91#16840087C2211yescharacteristic, complemented
92#16840086C2211yescharacteristic, complemented
93#16840085C2211yescharacteristic, complemented
94#16840084C2211yescharacteristic, complemented
95#16840083C2211yescharacteristic, complemented
96#16840081C2211yescharacteristic, complemented
97#16840080C2211yescharacteristic, complemented
98#16840078C2211yescharacteristic, complemented
99#16840065C2211yescharacteristic, complemented
100#16840064C2211yescharacteristic, complemented
101#16840063C2211yescharacteristic, complemented
102#16840062C2211yescharacteristic, complemented
103#16840061C2211yescharacteristic, complemented
104#16840060C2211yescharacteristic, complemented
105#16840059C2211yescharacteristic, complemented
106#16840051C2211yescharacteristic, complemented
107#16840051C2211yescharacteristic, complemented
108#16840050C2211yescharacteristic, complemented
109#16840050C2211yescharacteristic, complemented
110#16840015C2211yescharacteristic, complemented
111#16840014C2211yescharacteristic, complemented
112#16840014C2211yescharacteristic, complemented
113#16839998C2211yescharacteristic, complemented
114#16839997C2211yescharacteristic, complemented
115#16839997C2211yescharacteristic, complemented
116#16839996C2211yescharacteristic, complemented
117#16839996C2211yescharacteristic, complemented
118#16839996C2211yescharacteristic, complemented
119#16839996C2211yescharacteristic, complemented
120#16839958C2211yescharacteristic, complemented
121#16839957C2211yescharacteristic, complemented
122#16839956C2211yescharacteristic, complemented
123#16839956C2211yescharacteristic, complemented
124#16839956C2211yescharacteristic, complemented
125#16839956C2211yescharacteristic, complemented
126#16839955C2211yescharacteristic, complemented
127#16839955C2211yescharacteristic, complemented
128#16839955C2211yescharacteristic, complemented
129#16839955C2211yescharacteristic, complemented
130#16839954C2211yescharacteristic, complemented
131#16839898C2211yescharacteristic, complemented
132#16839898C2211yescharacteristic, complemented
133#16839897C2211yescharacteristic, complemented
134#16839897C2211yescharacteristic, complemented
135#16839896C2211yescharacteristic, complemented
136#16839896C2211yescharacteristic, complemented
137#16839895C2211yescharacteristic, complemented
138#16839895C2211yescharacteristic, complemented
139#16839894C2211yescharacteristic, complemented
140#16839894C2211yescharacteristic, complemented
141#16839890C2211yescharacteristic, complemented
142#16839886C2211yescharacteristic, complemented
143#16839875C2211yescharacteristic, complemented
144#16839874C2211yescharacteristic, complemented
145#16839874C2211yescharacteristic, complemented
146#16839873C2211yescharacteristic, complemented
147#16839873C2211yescharacteristic, complemented
148#16839871C2211yescharacteristic, complemented
149#16839871C2211yescharacteristic, complemented
150#16839871C2211yescharacteristic, complemented
151#16839871C2211yescharacteristic, complemented
152#16839871C2211yescharacteristic, complemented
153#16839871C2211yescharacteristic, complemented
154D8×Dic61C2211yescharacteristic, complemented
155#16839844C2211yescharacteristic, complemented
156C4×#11758199C2211yescharacteristic
157C4×#11758199C2211yescharacteristic, complemented
158#16839842C2211yescharacteristic
159#16839842C2211yescharacteristic
160#16839842C2211yescharacteristic
161#16839842C2211yescharacteristic, complemented
162#16839842C2211yescharacteristic, complemented
163#16839842C2211yescharacteristic, complemented
164#16839842C2211yescharacteristic, complemented
165#16839842C2211yescharacteristic, complemented
166#16839842C2211yescharacteristic, complemented
167#16839842C2211yescharacteristic, complemented
168#16839842C2211yescharacteristic, complemented
169#16839842C2211yescharacteristic, complemented
170#16839838C2211yescharacteristic, complemented
171#16839833C2211yescharacteristic, complemented
172D4×#92418C2211yescharacteristic, complemented
173#16839825C2211yescharacteristic, complemented
174#16839825C2211yescharacteristic, complemented
175#16839822C2211yescharacteristic, complemented
176#16839820C2211yescharacteristic, complemented
177#16839816C2211yescharacteristic, complemented
178#16839798C2211yescharacteristic, complemented
179#16839797C2211yescharacteristic, complemented
180C2×#14519710C2211yescharacteristic, complemented
181#16839768C2211yescharacteristic, complemented
182#16839765C2211yescharacteristic, complemented
183#16839765C2211yescharacteristic, complemented
184C2×#14519699C2211yescharacteristic, complemented
185#16839720C2211yescharacteristic, complemented
186#16839719C2211yescharacteristic, complemented
187C2×C8×Dic61C2211yescharacteristic, 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
203C2×#11758222—21no—
204C2×#11758224—21no—
205C2×#11758224—21no—
206C2×#11758224—21no—
207C22×D244C2311yescharacteristic
208C22×D244C2311yescharacteristic
209C22×C22⋊D61—21no—
210C22×C22⋊D61—21no—
211C2×D4×D61—21no—
212C2×D4×D61—21no—
213C2×D4×D61—21no—
214C2×D4×D61C2311yescharacteristic
215C2×D4×D61C2311yescharacteristic
216C23×Dic61—21no—
217C22×C4×D61—21no—
218C2×D488C2311yescharacteristic
219C2×D488C2311yescharacteristic
220C2×D488C2311yescharacteristic
221C2×#11758199—24no—
222C2×#11758199—24no—
223C2×#11758199C2311yescharacteristic
224C2×#11758199C2311yescharacteristic
225C2×#11758199C2311yescharacteristic
226C2×#11758199C2311yescharacteristic
227C2×#11758199C2311yescharacteristic
228C2×#11758199C2311yescharacteristic
229C2×#11758199C2311yescharacteristic
230C2×#11758199C2311yescharacteristic
231C2×#11758199C2311yescharacteristic
232C2×#11758199C2311yescharacteristic
233D8×D61—24no—
234C2×#11758189C2311yescharacteristic
235C22×#92418C2311yescharacteristic
236C22×#92418C2311yescharacteristic
237C2×C8×D61C2311yescharacteristic
238#14519776C2311yescharacteristic
239#14519776C2311yescharacteristic
240#14519774C2311yescharacteristic
241#14519773C2311yescharacteristic
242#14519773C2311yescharacteristic
243#14519773C2311yescharacteristic
244#14519773C2311yescharacteristic
245#14519772—21no—
246#14519772—21no—
247#14519772D411yescharacteristic
248#14519770—21no—
249#14519770D411yescharacteristic
250#14519769C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519768C2311yescharacteristic
253#14519767D411yescharacteristic
254#14519765—21no—
255#14519764—21no—
256#14519763—21no—
257#14519763—21no—
258#14519763—21no—
259#14519763—21no—
260#14519763D411yescharacteristic
261#14519762—21no—
262#14519762—21no—
263#14519762—21no—
264#14519761—21no—
265#14519761—21no—
266#14519761—21no—
267#14519761D411yescharacteristic
268#14519759—21no—
269#14519759—21no—
270#14519759—21no—
271#14519758—21no—
272#14519758—21no—
273#14519758D411yescharacteristic
274#14519757—21no—
275#14519756—21no—
276#14519755—21no—
277#14519755—21no—
278#14519754—21no—
279#14519754—21no—
280#14519754D411yescharacteristic
281#14519752—21no—
282#14519752—21no—
283#14519752—21no—
284#14519752C2311yescharacteristic
285#14519752C2311yescharacteristic
286#14519751—21no—
287#14519751—21no—
288#14519751C2311yescharacteristic
289#14519751C2311yescharacteristic
290#14519751C2311yescharacteristic
291#14519751C2311yescharacteristic
292#14519750—21no—
293#14519750—21no—
294#14519750—21no—
295#14519750—21no—
296#14519750—21no—
297#14519749—21no—
298#14519749—21no—
299#14519749—21no—
300#14519749—21no—
301#14519749—21no—
302#14519749—21no—
303#14519749—21no—
304#14519749—21no—
305#14519749—21no—
306#14519749—21no—
307#14519749—21no—
308#14519749—21no—
309#14519749—21no—
310#14519749D411yescharacteristic
311#14519748—21no—
312#14519748—21no—
313#14519748—21no—
314#14519748C2311yescharacteristic
315#14519748C2311yescharacteristic
316#14519747—21no—
317#14519747—21no—
318#14519747—21no—
319#14519747—21no—
320#14519746—21no—
321#14519746—21no—
322#14519745—21no—
323#14519745—21no—
324#14519745—21no—
325#14519745—21no—
326C4×Dic122C2311yescharacteristic
327C4×D244—21no—
328C4×D244—21no—
329C4×D244C2311yescharacteristic
330C4×D244C2311yescharacteristic
331D4×Dic61—21no—
332D4×Dic61—21no—
333D4×Dic61—21no—
334D4×Dic61—21no—
335D4×Dic61—21no—
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341D4×Dic61C2311yescharacteristic
342D4×Dic61C2311yescharacteristic
343D4×Dic61C2311yescharacteristic
344#14519739—21no—
345#14519739—21no—
346#14519739C2311yescharacteristic
347#14519739C2311yescharacteristic
348#14519739C2311yescharacteristic
349#14519739C2311yescharacteristic
350#14519739C2311yescharacteristic
351#14519739C2311yescharacteristic
352#14519739C2311yescharacteristic
353#14519739C2311yescharacteristic
354C4×C22⋊D61—21no—
355C4×C22⋊D61—21no—
356C4×C22⋊D61—21no—
357C4×C22⋊D61C2311yescharacteristic
358C4×C22⋊D61C2311yescharacteristic
359#14519737—21no—
360#14519737—21no—
361#14519737—21no—
362#14519737—21no—
363#14519737—21no—
364#14519736C2311yescharacteristic
365#14519736C2311yescharacteristic
366#14519735C2311yescharacteristic
367#14519735C2311yescharacteristic
368#14519734—21no—
369#14519734C2311yescharacteristic
370#14519733—21no—
371C2×C4⋊Dic61C2311yescharacteristic
372C2×#11758196—21no—
373C4⋊C4×D61—21no—
374C2×C22⋊Dic61—21no—
375C2×C22⋊Dic61—21no—
376C2×C22⋊Dic61—21no—
377C2×#11758198—21no—
378C2×#11758198—21no—
379C2×#11758198—21no—
380C22⋊C4×D61—21no—
381C22⋊C4×D61—21no—
382C22⋊C4×D61—21no—
383C22⋊C4×D61—21no—
384C2×C4×Dic61C2311yescharacteristic
385#14519711C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519699C2311yescharacteristic
404#14519699C2311yescharacteristic
405#14519699C2311yescharacteristic
406#14519699C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519698C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425C22⋊#92418C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C22×D4×C61—21no—
439C22×D4×C61C2311yescharacteristic
440C22×D4×C61C2311yescharacteristic
441C2×D8×C61C2311yescharacteristic
442C2×D8×C61C2311yescharacteristic
443C2×D8×C61C2311yescharacteristic
444C2×M16×C61C2311yescharacteristic
445C22×C8×C61C2311yescharacteristic
446#127×C61C2311yescharacteristic
447#126×C61—21no—
448#125×C61C2311yescharacteristic
449#123×C61—21no—
450#121×C61—21no—
451#121×C61—21no—
452#121×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454#121×C61C2311yescharacteristic
455#121×C61C2311yescharacteristic
456#120×C61—21no—
457#120×C61—21no—
458C4×D4×C61—21no—
459C4×D4×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic
462#117×C61C2311yescharacteristic
463C2×C4⋊C4×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468#102×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479C22⋊C8×C61C2311yescharacteristic
480#97×C61C2311yescharacteristic
481C24×C61—21no—
482C24×C61—21no—
483C23×D61—21no—
484C23×D61—21no—
485C23×D61—21no—
486C23×D61—21no—
487C2×D4×C61—22no—
488C2×D4×C61—22no—
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—41no—
498C2×D4×C61—41no—
499C2×D4×C61—82no—
500C2×D4×C61C2×D411yescharacteristic
501C2×D4×C61C2411yescharacteristic
502C2×D4×C61C2411yescharacteristic
503C2×D4×C61C2411yescharacteristic
504C2×D4×C61C2411yescharacteristic
505C22×C4×C61—21no—
506C22×C4×C61—21no—
507C22×C4×C61—21no—
508C22×C4×C61C2411yescharacteristic
509C22×C4×C61C2411yescharacteristic
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61—21no—
525C2×C22⋊D61—21no—
526C2×C22⋊D61—82no—
527C2×C22⋊D61—82no—
528C2×C22⋊D61C2×D411yescharacteristic
529C2×C22⋊D61C2×D411yescharacteristic
530C22×Dic61—21no—
531C22×Dic61—21no—
532C22×Dic61—21no—
533C22×Dic61—21no—
534C22×Dic61—21no—
535C22×Dic61—21no—
536C22×Dic61—21no—
537C22×Dic61—21no—
538C22×Dic61—21no—
539C22×Dic61—82no—
540C22×Dic61C2×D411yescharacteristic
541C22×Dic61C2×D411yescharacteristic
542#11758224—82no—
543#11758224—82no—
544#11758224—82no—
545D4×D61—22no—
546D4×D61—22no—
547D4×D61—41no—
548D4×D61—41no—
549D4×D61—82no—
550D4×D61—82no—
551D4×D61—82no—
552#11758222—82no—
553C2×D244—22no—
554C2×D244—22no—
555C2×D244—21no—
556C2×D244—21no—
557C2×D244—21no—
558C2×D244—21no—
559C2×D244—21no—
560C2×D244—21no—
561C2×D244—41no—
562C2×D244—41no—
563C2×D244C2411yescharacteristic
564C2×D244C2411yescharacteristic
565C2×D244C2411yescharacteristic
566C2×D244C2411yescharacteristic
567C2×C4×D61—21no—
568C2×C4×D61—21no—
569C2×C4×D61—21no—
570C2×C4×D61—21no—
571C2×C4×D61—21no—
572C2×C4×D61—21no—
573C2×C4×D61—21no—
574C2×C4×D61—21no—
575C2×C4×D61—21no—
576C2×C4×D61—21no—
577C2×C4×D61—82no—
578C2×C4×D61C2411yescharacteristic
579C2×Dic122—21no—
580C2×Dic122—21no—
581C2×Dic122C2×D411yescharacteristic
582D8×C61—22no—
583D8×C61—41no—
584D8×C61—41no—
585M16×C61—41no—
586C2×C8×C61—41no—
587C2×C8×C61C2411yescharacteristic
588C2×C8×C61C2411yescharacteristic
589C2×C8×C61C2411yescharacteristic
590C2×C8×C61C2411yescharacteristic
591C4⋊C4×C61—21no—
592C4⋊C4×C61—21no—
593C4⋊C4×C61—21no—
594C4⋊C4×C61C2×D411yescharacteristic
595C4⋊C4×C61C2411yescharacteristic
596C4⋊C4×C61C2411yescharacteristic
597C4⋊C4×C61C2411yescharacteristic
598C4⋊C4×C61C2411yescharacteristic
599C22⋊C4×C61—21no—
600C22⋊C4×C61—21no—
601C22⋊C4×C61—21no—
602C22⋊C4×C61—21no—
603C22⋊C4×C61—21no—
604C22⋊C4×C61—21no—
605C22⋊C4×C61—21no—
606C22⋊C4×C61C2×D411yescharacteristic
607C22⋊C4×C61C2×D411yescharacteristic
608C42×C61—21no—
609C42×C61C2411yescharacteristic
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61—21no—
613C22⋊Dic61—21no—
614C22⋊Dic61—21no—
615C22⋊Dic61—21no—
616C22⋊Dic61—21no—
617C22⋊Dic61—21no—
618C22⋊Dic61—21no—
619C22⋊Dic61—21no—
620C22⋊Dic61—21no—
621C22⋊Dic61C2×D411yescharacteristic
622C22⋊Dic61C2×D411yescharacteristic
623C22⋊Dic61C2×D411yescharacteristic
624C22⋊Dic61C2×D411yescharacteristic
625#11758199—22no—
626#11758199—22no—
627#11758199—22no—
628#11758199—22no—
629#11758199—22no—
630#11758199—22no—
631#11758199—22no—
632#11758199—41no—
633#11758199—41no—
634#11758199#4114yescomplemented
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198—21no—
653#11758198C2×D411yescharacteristic
654#11758198C2×D411yescharacteristic
655#11758198C2×D411yescharacteristic
656#11758198C2×D411yescharacteristic
657C4⋊Dic61—21no—
658C4⋊Dic61—21no—
659C4⋊Dic61—21no—
660C4⋊Dic61C2×D411yescharacteristic
661C4⋊Dic61C2×D411yescharacteristic
662C4⋊Dic61C2×D411yescharacteristic
663C4⋊Dic61C2411yescharacteristic
664C4⋊Dic61C2411yescharacteristic
665C4⋊Dic61C2411yescharacteristic
666C4⋊Dic61C2411yescharacteristic
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196—21no—
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
676#11758196C2×D411yescharacteristic
677#11758196C2×D411yescharacteristic
678#11758196C2×D411yescharacteristic
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61C2×D411yescharacteristic
683C4×Dic61C2×D411yescharacteristic
684C4×Dic61C2411yescharacteristic
685C4×Dic61C2411yescharacteristic
686C4×Dic61C2411yescharacteristic
687C2×#92418—22no—
688C2×#92418—22no—
689C2×#92418C2411yescharacteristic
690C2×#92418C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693D488—22no—
694D488—41no—
695D488—41no—
696#11758189—41no—
697C8×D61—22no—
698C23×C61—21no—
699C23×C61—21no—
700C23×C61—21no—
701C23×C61—21no—
702C23×C61—42no—
703C23×C61—42no—
704C23×C61—42no—
705C23×C61—81no—
706C23×C61—81no—
707C23×C61—81no—
708C23×C61C22×D411yescharacteristic
709C23×C61C22×D411yescharacteristic
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—21no—
713C22×D61—21no—
714C22×D61—42no—
715C22×D61—42no—
716C22×D61—42no—
717C22×D61—42no—
718C22×D61—42no—
719C22×D61—81no—
720C22×D61—81no—
721C22×D61—81no—
722C22×D61—81no—
723C22×D61—81no—
724C22×D61—81no—
725C22×D61—81no—
726C22×D61C22×D411yescharacteristic
727D4×C61—22no—
728D4×C61—21no—
729D4×C61—21no—
730D4×C61—21no—
731D4×C61—21no—
732D4×C61—21no—
733D4×C61—21no—
734D4×C61—21no—
735D4×C61—42no—
736D4×C61—42no—
737D4×C61—42no—
738D4×C61—42no—
739D4×C61—81no—
740D4×C61—81no—
741D4×C61—81no—
742D4×C61—81no—
743D4×C61C2×#4112yes—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—81no—
753C2×C4×C61—81no—
754C2×C4×C61—81no—
755C2×C4×C61C22×D411yescharacteristic
756C2×C4×C61C22×D411yescharacteristic
757C2×C4×C61C22×D411yescharacteristic
758C2×C4×C61C22×D411yescharacteristic
759C2×C4×C61C2511yescharacteristic
760C22⋊D61—22no—
761C22⋊D61—22no—
762C22⋊D61—42no—
763C22⋊D61—42no—
764C22⋊D61—42no—
765C22⋊D61—42no—
766C22⋊D61—42no—
767C22⋊D61—42no—
768C22⋊D61—81no—
769C22⋊D61—81no—
770C22⋊D61—81no—
771C22⋊D61—81no—
772C22⋊D61—81no—
773C22⋊D61—81no—
774C22⋊D61—81no—
775C22⋊D61—81no—
776C22⋊D61—81no—
777C22⋊D61—81no—
778C2×Dic61—22no—
779C2×Dic61—22no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—21no—
783C2×Dic61—21no—
784C2×Dic61—42no—
785C2×Dic61—42no—
786C2×Dic61—81no—
787C2×Dic61—81no—
788C2×Dic61—81no—
789C2×Dic61—81no—
790C2×Dic61—81no—
791C2×Dic61—81no—
792C2×Dic61—81no—
793C2×Dic61C22×D411yescharacteristic
794C2×Dic61C22×D411yescharacteristic
795C2×Dic61C22×D411yescharacteristic
796C2×Dic61C22×D411yescharacteristic
797C2×Dic61C22×D411yescharacteristic
798C2×Dic61C22×D411yescharacteristic
799C2×Dic61C22×D411yescharacteristic
800D244—21no—
801D244—21no—
802D244—21no—
803D244—21no—
804D244—21no—
805D244—21no—
806D244—21no—
807D244—42no—
808D244—42no—
809D244—81no—
810D244—81no—
811D244—81no—
812D244—81no—
813D244C2×#4112yes—
814C4×D61—21no—
815C4×D61—21no—
816C4×D61—42no—
817C4×D61—42no—
818C4×D61—81no—
819C4×D61—81no—
820C4×D61—81no—
821C4×D61—81no—
822C4×D61—81no—
823C4×D61—81no—
824C4×D61—81no—
825C4×D61—81no—
826Dic122—22no—
827Dic122—81no—
828Dic122—81no—
829C8×C61—21no—
830C8×C61—21no—
831C8×C61—21no—
832C8×C61—21no—
833#92418—21no—
834#92418—21no—
835#92418—21no—
836#92418C2×#4112yes—
837#61480—611nomaximal, Sylow
838C22×C61—21no—
839C22×C61—21no—
840C22×C61—22no—
841C22×C61—21no—
842C22×C61—21no—
843C22×C61—21no—
844C22×C61—41no—
845C22×C61—41no—
846C22×C61—41no—
847C22×C61—41no—
848C22×C61—41no—
849C22×C61—41no—
850C22×C61—41no—
851C22×C61—41no—
852C22×C61—41no—
853C22×C61—41no—
854C22×C61—41no—
855C22×C61—84no—
856C22×C61—162no—
857C22×C61#57612yes—
858C22×C61C23×D411yescharacteristic
859C2×D61—21no—
860C2×D61—22no—
861C2×D61—21no—
862C2×D61—21no—
863C2×D61—41no—
864C2×D61—41no—
865C2×D61—41no—
866C2×D61—41no—
867C2×D61—41no—
868C2×D61—41no—
869C2×D61—41no—
870C2×D61—41no—
871C2×D61—41no—
872C2×D61—41no—
873C2×D61—41no—
874C2×D61—84no—
875C2×D61—162no—
876C2×D61—162no—
877C2×D61—162no—
878C4×C61—21no—
879C4×C61—21no—
880C4×C61—21no—
881C4×C61—21no—
882C4×C61—41no—
883C4×C61—41no—
884C4×C61—41no—
885C4×C61—41no—
886C4×C61C22×#4111yescharacteristic
887C4×C61#58511yescharacteristic
888Dic61—21no—
889Dic61—21no—
890Dic61—21no—
891Dic61—21no—
892Dic61—21no—
893Dic61—21no—
894Dic61—41no—
895Dic61—41no—
896Dic61—41no—
897Dic61—41no—
898Dic61#57612yes—
899#3519—611no—
900#3519—611no—
901#3391—611no—
902#3380—611no—
903#3366—611no—
904#3366—611no—
905#3341—611no—
906#3339—611no—
907#3339—611no—
908#3325—611no—
909#3325—611no—
910#3318—611no—
911#3318—611no—
912#3318—611no—
913#3318D6111yescharacteristic, complemented
914D4×D8—611no—
915D4×D8—611no—
916D4×D8—611no—
917#3176—611no—
918#3176—611no—
919#3169—611no—
920#3122—611no—
921#3122—611no—
922#3122—611no—
923#3122—611no—
924#3109—611no—
925#3109—611no—
926#2966—611no—
927#2948—611no—
928#2948—611no—
929C2×C4×D8—611no—
930C2×C61—22no—
931C2×C61—41no—
932C2×C61—42no—
933C2×C61—81no—
934C2×C61—81no—
935C2×C61—81no—
936C2×C61D4×#4111yescharacteristic
937C2×C61C2×#57611yescharacteristic
938C2×C61C2×#57611yescharacteristic
939D61—41no—
940D61—42no—
941D61—81no—
942D61—81no—
943D61—81no—
944C22×D8—611no—
945C22×D8—611no—
946C22×D8—611no—
947#555—611no—
948#555—611no—
949#554—611no—
950#554—611no—
951#553—611no—
952#553—611no—
953#553—611no—
954#553—1221no—
955#553—1221no—
956#553C2×D6111yescharacteristic, complemented
957#550—611no—
958#550—611no—
959#546—1221no—
960#546—1221no—
961#546—1221no—
962#546—1221no—
963#546—1221no—
964#546—1221no—
965D42—611no—
966D42—611no—
967D42—611no—
968D42—611no—
969D42—611no—
970D42C2×D6111yescharacteristic, complemented
971#540—611no—
972#540—611no—
973#540—611no—
974#540—611no—
975#538—1221no—
976#538—1221no—
977#538—1221no—
978#538—1221no—
979#532—611no—
980#532—611no—
981#529—611no—
982#525—1221no—
983#525—1221no—
984C2×#121—1221no—
985C2×#121—1221no—
986#518—611no—
987#518—611no—
988#518—611no—
989#518—611no—
990C2×C4×D4—611no—
991C2×C4×D4—611no—
992#500—611no—
993#499—611no—
994#499—611no—
995#493—611no—
996#493—611no—
997#493—611no—
998#490—611no—
999#490—611no—
1000#490—611no—
1001#490C2×D6111yescharacteristic, complemented
1002#486—611no—
1003#486—611no—
1004#482—611no—
1005#482—611no—
1006#482—611no—
1007#482—611no—
1008#482—611no—
1009#482—611no—
1010#482—611no—
1011#482C2×D6111yescharacteristic, complemented
1012#481—611no—
1013#481—611no—
1014#481—611no—
1015#481C2×D6111yescharacteristic, complemented
1016#478—611no—
1017#478—611no—
1018#478—611no—
1019#478—611no—
1020#478—611no—
1021#478—611no—
1022#478—611no—
1023#478C2×D6111yescharacteristic, complemented
1024#476—611no—
1025#476—611no—
1026#476—611no—
1027#476—611no—
1028#469—611no—
1029#469—611no—
1030#469—611no—
1031#469C2×D6111yescharacteristic, complemented
1032#466—611no—
1033#466—611no—
1034#466—611no—
1035#466—611no—
1036#466—611no—
1037#466—611no—
1038#466—611no—
1039#466C2×D6111yescharacteristic, complemented
1040#459—611no—
1041#459—611no—
1042#459—611no—
1043#459—611no—
1044#459—611no—
1045#459—611no—
1046#459—611no—
1047#459—611no—
1048#459—611no—
1049#459—611no—
1050#459—611no—
1051#459C2×D6111yescharacteristic, complemented
1052#447—611no—
1053#447—611no—
1054#447—611no—
1055#447—611no—
1056#447—611no—
1057#447—611no—
1058#447—611no—
1059#447—611no—
1060#447—611no—
1061#447—611no—
1062#447C2×D6111yescharacteristic, complemented
1063#447C2×D6111yescharacteristic, complemented
1064#446—611no—
1065C8×Q8—611no—
1066#442—611no—
1067#442—611no—
1068#442—611no—
1069#442—611no—
1070#442—611no—
1071#442—611no—
1072#442—611no—
1073#442—611no—
1074#442—611no—
1075#442—611no—
1076#442—611no—
1077#442C2×D6111yescharacteristic, complemented
1078C4×D8—611no—
1079C4×D8—611no—
1080C4×D8—611no—
1081C4×D8—611no—
1082C4×D8—611no—
1083C4×D8—611no—
1084C4×D8—611no—
1085C4×D8—611no—
1086C4×D8—611no—
1087C4×D8—611no—
1088C4×D8—611no—
1089C4×D8—611no—
1090C4×D8—611no—
1091C4×D8—611no—
1092C4×D8—611no—
1093C4×D8—611no—
1094#436—611no—
1095#435—611no—
1096#435C2×D6111yescharacteristic, complemented
1097C8×D4—611no—
1098C8×D4—611no—
1099C8×D4—611no—
1100#433—611no—
1101#433—611no—
1102#432—611no—
1103#427—611no—
1104#427—611no—
1105C2×#107—611no—
1106#418—611no—
1107#418—611no—
1108#418—611no—
1109#418C2×D6111yescharacteristic, complemented
1110C2×#102—611no—
1111C2×#102C2×D6111yescharacteristic, complemented
1112#405—611no—
1113#405—611no—
1114C2×C4×C8—611no—
1115C61#6148011yescharacteristic, complemented, Sylow
1116C2×#41—1221no—
1117C2×#41—1221no—
1118C2×#41—1221no—
1119C2×#41—1221no—
1120C22×D4—21no—
1121C22×D4—611no—
1122C22×D4—611no—
1123C22×D4—611no—
1124C22×D4—611no—
1125C22×D4—1221no—
1126C22×D4—1221no—
1127C22×D4—1221no—
1128C22×D4—1221no—
1129C22×D4—1221no—
1130C22×D4C22×D6111yescharacteristic
1131C22×D4C22×D6111yescharacteristic
1132C23×C4—1221no—
1133C23×C4—1221no—
1134C2×D8—611no—
1135C2×D8—611no—
1136C2×D8—611no—
1137C2×D8—611no—
1138C2×D8—611no—
1139C2×D8—611no—
1140C2×D8—611no—
1141C2×D8—611no—
1142C2×D8—611no—
1143C2×D8—611no—
1144C2×D8—611no—
1145C2×D8—611no—
1146C2×D8—611no—
1147C2×D8—1224no—
1148C2×D8—1224no—
1149C2×D8—1224no—
1150C2×D8C22×D6111yescharacteristic
1151C2×D8C22×D6111yescharacteristic
1152C2×D8C22×D6111yescharacteristic
1153C2×M16—611no—
1154C2×M16C22×D6111yescharacteristic
1155C22×C8—611no—
1156C22×C8—611no—
1157C22×C8—611no—
1158C22×C8C22×D6111yescharacteristic
1159C4⋊Q8—611no—
1160C4⋊Q8—611no—
1161#127—611no—
1162#127—611no—
1163#127—611no—
1164#127—611no—
1165#127—611no—
1166#127C22×D6111yescharacteristic
1167#126—21no—
1168#126—611no—
1169#126—611no—
1170#126—1221no—
1171#126—1221no—
1172#126—1221no—
1173#125—611no—
1174#125—611no—
1175#125—611no—
1176#125—611no—
1177#125C22×D6111yescharacteristic
1178#124—611no—
1179#124—1221no—
1180#124—1221no—
1181#124—1221no—
1182#124—1221no—
1183#124—1221no—
1184#124—1221no—
1185#123—21no—
1186#123—611no—
1187#123—611no—
1188#123—1221no—
1189#123—1221no—
1190#123—1221no—
1191#123—1221no—
1192#123—1221no—
1193#123—1221no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199C22⋊Q8—611no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8—1221no—
1204C22⋊Q8—1221no—
1205C22⋊Q8—1221no—
1206#121—21no—
1207#121—21no—
1208#121—611no—
1209#121—611no—
1210#121—611no—
1211#121—611no—
1212#121—611no—
1213#121—611no—
1214#121—611no—
1215#121—611no—
1216#121—611no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121—1221no—
1222#121—1221no—
1223#121—1221no—
1224#121—1221no—
1225#121—1221no—
1226#121—1221no—
1227#121—1221no—
1228#121—1221no—
1229#121—1221no—
1230#121—1221no—
1231#121—1221no—
1232#121—1221no—
1233#121—1221no—
1234#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121—1221no—
1242#121—1221no—
1243#121C22×D6111yescharacteristic
1244#121C22×D6111yescharacteristic
1245#121C22×D6111yescharacteristic
1246#121C22×D6111yescharacteristic
1247#120—21no—
1248#120—21no—
1249#120—1221no—
1250#120—1221no—
1251#120—1221no—
1252#120—1221no—
1253#120—1221no—
1254#120—1221no—
1255#120—1221no—
1256#120—1221no—
1257#120—1221no—
1258#120—1221no—
1259C4×Q8—611no—
1260C4×D4—21no—
1261C4×D4—611no—
1262C4×D4—611no—
1263C4×D4—611no—
1264C4×D4—611no—
1265C4×D4—611no—
1266C4×D4—611no—
1267C4×D4—611no—
1268C4×D4—611no—
1269C4×D4—611no—
1270C4×D4—611no—
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—611no—
1279C4×D4—611no—
1280C4×D4—611no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4—1221no—
1290C4×D4—1221no—
1291C4×D4—1221no—
1292C4×D4—1221no—
1293C4×D4—1221no—
1294C4×D4—1221no—
1295C4×D4—1221no—
1296C4×D4—1221no—
1297C4×D4—1221no—
1298C4×D4C22×D6111yescharacteristic
1299C4×D4C22×D6111yescharacteristic
1300C4×D4C22×D6111yescharacteristic
1301#117—611no—
1302#117—611no—
1303#117—611no—
1304#117—611no—
1305#117—611no—
1306#117—1221no—
1307#117—1221no—
1308#117C22×D6111yescharacteristic
1309C2×C4⋊C4—611no—
1310C2×C4⋊C4—1221no—
1311C2×C4⋊C4—1221no—
1312C2×C4⋊C4C22×D6111yescharacteristic
1313C2×C22⋊C4—1221no—
1314C2×C22⋊C4—1221no—
1315C2×C22⋊C4—1221no—
1316C2×C22⋊C4—1221no—
1317C2×C22⋊C4—1221no—
1318C2×C22⋊C4—1221no—
1319C2×C22⋊C4—1221no—
1320C2×C22⋊C4—1221no—
1321C2×C22⋊C4—1221no—
1322C2×C22⋊C4—1221no—
1323C2×C42—611no—
1324#107—611no—
1325#107—611no—
1326#107—611no—
1327#107—611no—
1328#107—611no—
1329#107—611no—
1330#107—611no—
1331#107C22×D6111yescharacteristic
1332#106—611no—
1333#106—611no—
1334#106—611no—
1335#106—611no—
1336#106—611no—
1337#106—611no—
1338#106C22×D6111yescharacteristic
1339#106C22×D6111yescharacteristic
1340C4⋊C8—611no—
1341C4⋊C8—611no—
1342C4⋊C8—611no—
1343C4⋊C8—611no—
1344C4⋊C8—611no—
1345C4⋊C8C22×D6111yescharacteristic
1346#102—611no—
1347#102—611no—
1348#102—611no—
1349#102—611no—
1350#102—611no—
1351#102—611no—
1352#102—611no—
1353#102—611no—
1354#102—611no—
1355#102—611no—
1356#102—611no—
1357#102—611no—
1358#102—611no—
1359#102—611no—
1360#102—611no—
1361#102—611no—
1362#102—611no—
1363#102—611no—
1364#102—611no—
1365#102—611no—
1366#102—611no—
1367#102—611no—
1368#102C22×D6111yescharacteristic
1369#102C22×D6111yescharacteristic
1370#102C22×D6111yescharacteristic
1371#102C22×D6111yescharacteristic
1372#102C22×D6111yescharacteristic
1373#102C22×D6111yescharacteristic
1374#102C22×D6111yescharacteristic
1375#102C22×D6111yescharacteristic
1376#102C22×D6111yescharacteristic
1377#102C22×D6111yescharacteristic
1378C22⋊C8—611no—
1379C22⋊C8—611no—
1380C22⋊C8—611no—
1381C22⋊C8—611no—
1382C22⋊C8C22×D6111yescharacteristic
1383C22⋊C8C22×D6111yescharacteristic
1384#97—611no—
1385#97—611no—
1386#97—611no—
1387#97C22×D6111yescharacteristic
1388C4×C8—611no—
1389C4×C8—611no—
1390C4×C8—611no—
1391C4×C8—611no—
1392C4×C8—611no—
1393C4×C8—611no—
1394C24—21no—
1395C24—21no—
1396C24—1221no—
1397C24—1221no—
1398C24—1221no—
1399C24—1221no—
1400#41—4882no—
1401#41—4882no—
1402#41—4882no—
1403#41—4882no—
1404C2×Q8—611no—
1405C2×Q8—1221no—
1406C2×Q8—1221no—
1407C2×D4—22no—
1408C2×D4—22no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—82no—
1420C2×D4—611no—
1421C2×D4—611no—
1422C2×D4—611no—
1423C2×D4—611no—
1424C2×D4—611no—
1425C2×D4—611no—
1426C2×D4—1222no—
1427C2×D4—1222no—
1428C2×D4—1221no—
1429C2×D4—1221no—
1430C2×D4—1221no—
1431C2×D4—1221no—
1432C2×D4—1221no—
1433C2×D4—1221no—
1434C2×D4—1221no—
1435C2×D4—1221no—
1436C2×D4—1221no—
1437C2×D4—1221no—
1438C2×D4—1221no—
1439C2×D4—1221no—
1440C2×D4—1222no—
1441C2×D4—1222no—
1442C2×D4—1221no—
1443C2×D4—1221no—
1444C2×D4—1221no—
1445C2×D4—1221no—
1446C2×D4—1221no—
1447C2×D4—1221no—
1448C2×D4—1221no—
1449C2×D4—1221no—
1450C2×D4—1221no—
1451C2×D4—1221no—
1452C2×D4—4882no—
1453C2×D4—4882no—
1454C2×D4—4882no—
1455C2×D4—4882no—
1456C2×D4—4882no—
1457C2×D4—2441no—
1458C2×D4—2441no—
1459C2×D4—2441no—
1460C2×D4—2441no—
1461C2×D4D4×D6111yescharacteristic
1462C2×D4C23×D6111yescharacteristic
1463C2×D4C23×D6111yescharacteristic
1464C2×D4C23×D6111yescharacteristic
1465C2×D4C23×D6111yescharacteristic
1466C22×C4—21no—
1467C22×C4—21no—
1468C22×C4—21no—
1469C22×C4—611no—
1470C22×C4—611no—
1471C22×C4—611no—
1472C22×C4—1221no—
1473C22×C4—1221no—
1474C22×C4—1221no—
1475C22×C4—1221no—
1476C22×C4—1221no—
1477C22×C4—1221no—
1478C22×C4—1221no—
1479C22×C4—1221no—
1480C22×C4—1221no—
1481C22×C4—1221no—
1482C22×C4—1221no—
1483C22×C4—1221no—
1484C22×C4—1221no—
1485C22×C4—1221no—
1486C22×C4—1221no—
1487C22×C4—1221no—
1488C22×C4—1221no—
1489C22×C4—1221no—
1490C22×C4—1221no—
1491C22×C4—4882no—
1492C22×C4—4882no—
1493C22×C4C23×D6111yescharacteristic
1494C22×C4C23×D6111yescharacteristic
1495D8—22no—
1496D8—41no—
1497D8—41no—
1498D8—614no—
1499D8—1222no—
1500D8—1222no—
1501D8—1222no—
1502D8—1222no—
1503D8—1222no—
1504D8—1222no—
1505D8—1222no—
1506D8—1222no—
1507D8—2441no—
1508D8—2441no—
1509D8—2441no—
1510D8—2441no—
1511M16—41no—
1512M16—2441no—
1513C2×C8—41no—
1514C2×C8—611no—
1515C2×C8—611no—
1516C2×C8—611no—
1517C2×C8—611no—
1518C2×C8—1222no—
1519C2×C8—1222no—
1520C2×C8—1222no—
1521C2×C8C23×D6111yescharacteristic
1522C2×C8C23×D6111yescharacteristic
1523C2×C8C23×D6111yescharacteristic
1524C2×C8C23×D6111yescharacteristic
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4—21no—
1528C4⋊C4—611no—
1529C4⋊C4—611no—
1530C4⋊C4—611no—
1531C4⋊C4—611no—
1532C4⋊C4—611no—
1533C4⋊C4—611no—
1534C4⋊C4—611no—
1535C4⋊C4—611no—
1536C4⋊C4—611no—
1537C4⋊C4—611no—
1538C4⋊C4—611no—
1539C4⋊C4—611no—
1540C4⋊C4—611no—
1541C4⋊C4—1221no—
1542C4⋊C4—1221no—
1543C4⋊C4—1221no—
1544C4⋊C4—1221no—
1545C4⋊C4—1221no—
1546C4⋊C4—1221no—
1547C4⋊C4—1221no—
1548C4⋊C4—1221no—
1549C4⋊C4—1221no—
1550C4⋊C4D4×D6111yescharacteristic
1551C4⋊C4C23×D6111yescharacteristic
1552C4⋊C4C23×D6111yescharacteristic
1553C4⋊C4C23×D6111yescharacteristic
1554C4⋊C4C23×D6111yescharacteristic
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—611no—
1563C22⋊C4—611no—
1564C22⋊C4—611no—
1565C22⋊C4—611no—
1566C22⋊C4—611no—
1567C22⋊C4—611no—
1568C22⋊C4—611no—
1569C22⋊C4—611no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4—1221no—
1573C22⋊C4—1221no—
1574C22⋊C4—1221no—
1575C22⋊C4—1221no—
1576C22⋊C4—1221no—
1577C22⋊C4—1221no—
1578C22⋊C4—1221no—
1579C22⋊C4—1221no—
1580C22⋊C4—1221no—
1581C22⋊C4—1221no—
1582C22⋊C4—1221no—
1583C22⋊C4—1221no—
1584C22⋊C4—1221no—
1585C22⋊C4—1221no—
1586C22⋊C4—1221no—
1587C22⋊C4—1221no—
1588C22⋊C4—1221no—
1589C22⋊C4—1221no—
1590C22⋊C4—1221no—
1591C22⋊C4—1221no—
1592C22⋊C4—1221no—
1593C22⋊C4—1221no—
1594C22⋊C4—1221no—
1595C22⋊C4—1221no—
1596C22⋊C4—1221no—
1597C22⋊C4—1221no—
1598C22⋊C4—1221no—
1599C22⋊C4D4×D6111yescharacteristic
1600C22⋊C4D4×D6111yescharacteristic
1601C42—21no—
1602C42—611no—
1603C42—611no—
1604C42—611no—
1605C42—611no—
1606C42—611no—
1607C42—1221no—
1608C42—1221no—
1609C42—1221no—
1610C42C23×D6111yescharacteristic
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—42no—
1616C23—42no—
1617C23—42no—
1618C23—81no—
1619C23—81no—
1620C23—81no—
1621C23—611no—
1622C23—1221no—
1623C23—1221no—
1624C23—1221no—
1625C23—1221no—
1626C23—4881no—
1627C23—4881no—
1628C23—4881no—
1629C23—4881no—
1630C23—4881no—
1631C23—4881no—
1632C23—4881no—
1633C23—2442no—
1634C23—2442no—
1635C23—2442no—
1636C23—2442no—
1637C23—2442no—
1638C23C2×D4×D6111yescharacteristic
1639C23C2×D4×D6111yescharacteristic
1640Q8—1222no—
1641Q8—4881no—
1642Q8—4881no—
1643D4—22no—
1644D4—21no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—42no—
1652D4—42no—
1653D4—42no—
1654D4—42no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—612no—
1660D4—1222no—
1661D4—1222no—
1662D4—1221no—
1663D4—1221no—
1664D4—1221no—
1665D4—1221no—
1666D4—1221no—
1667D4—1221no—
1668D4—1221no—
1669D4—4881no—
1670D4—4881no—
1671D4—4881no—
1672D4—4881no—
1673D4—4881no—
1674D4—4881no—
1675D4—4881no—
1676D4—4881no—
1677D4—4881no—
1678D4—4881no—
1679D4—4881no—
1680D4—4881no—
1681D4—4881no—
1682D4—4881no—
1683D4—2442no—
1684D4—2442no—
1685D4—2442no—
1686D4—2442no—
1687D4—2442no—
1688D4—2442no—
1689D4—2442no—
1690D4—2442no—
1691D4#41×D6112yes—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—81no—
1701C2×C4—81no—
1702C2×C4—81no—
1703C2×C4—611no—
1704C2×C4—611no—
1705C2×C4—611no—
1706C2×C4—611no—
1707C2×C4—611no—
1708C2×C4—611no—
1709C2×C4—611no—
1710C2×C4—1222no—
1711C2×C4—1222no—
1712C2×C4—1221no—
1713C2×C4—1221no—
1714C2×C4—1221no—
1715C2×C4—1221no—
1716C2×C4—1221no—
1717C2×C4—1221no—
1718C2×C4—4881no—
1719C2×C4—4881no—
1720C2×C4—4881no—
1721C2×C4—4881no—
1722C2×C4—4881no—
1723C2×C4—4881no—
1724C2×C4—4881no—
1725C2×C4—4881no—
1726C2×C4—4881no—
1727C2×C4—4881no—
1728C2×C4—4881no—
1729C2×C4—4881no—
1730C2×C4—4881no—
1731C2×C4—4881no—
1732C2×C4—4881no—
1733C2×C4—2442no—
1734C2×C4—2442no—
1735C2×C4—2442no—
1736C2×C4—2442no—
1737C2×C4C2×D4×D6111yescharacteristic
1738C2×C4C2×D4×D6111yescharacteristic
1739C2×C4C2×D4×D6111yescharacteristic
1740C2×C4C2×D4×D6111yescharacteristic
1741C2×C4C24×D6111yescharacteristic
1742C8—21no—
1743C8—21no—
1744C8—21no—
1745C8—21no—
1746C8—612no—
1747C8—1221no—
1748C8—1221no—
1749C8—1221no—
1750C22—21no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—22no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—84no—
1768C22—162no—
1769C22—1221no—
1770C22—1221no—
1771C22—1221no—
1772C22—1222no—
1773C22—9762no—
1774C22—9762no—
1775C22—9762no—
1776C22—4884no—
1777C22—2441no—
1778C22—2441no—
1779C22—2441no—
1780C22—2441no—
1781C22—2441no—
1782C22—2441no—
1783C22—2441no—
1784C22—2441no—
1785C22—2441no—
1786C22—2441no—
1787C22—2441no—
1788C22#1684056612yes—
1789C22C22×D4×D6111yescharacteristic
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—21no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—612no—
1799C4—1221no—
1800C4—1221no—
1801C4—1221no—
1802C4—1221no—
1803C4—1221no—
1804C4—1221no—
1805C4—2441no—
1806C4—2441no—
1807C4—2441no—
1808C4—2441no—
1809C4C2×#41×D6111yescharacteristic
1810C4#1684059711yescharacteristic
1811C2—22no—
1812C2—41no—
1813C2—42no—
1814C2—81no—
1815C2—81no—
1816C2—81no—
1817C2—4881no—
1818C2—4881no—
1819C2—4881no—
1820C2—2441no—
1821C2—2442no—
1822C2#2145930311yescharacteristic
1823C2#576×D6111yescharacteristic
1824C2C2×#1684056611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3318C2
socleC22×C61C23×D4
hypercenter#3318D61
hypocenterC61#61480
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. #21459847C2semidirect
2. #21459838C2semidirect
3. #21458790C2semidirect
4. #21458681C2semidirect
5. #21458527C2semidirect
6. #21458523C2semidirect
7. #21458236C2semidirect
8. #21458219C2semidirect
9. #21458215C2semidirect
10. #21458057C2semidirect
11. #21458056C2semidirect
12. #21457966C2semidirect
13. #21457962C2semidirect
14. #21457956C2semidirect
15. D4×#11758199C2semidirect
16. #21457489C2semidirect
17. #21457489C2semidirect
18. #21456468C2semidirect
19. #21456464C2semidirect
20. #21456393C2semidirect
21. #21456064C2semidirect
22. #21456060C2semidirect
23. #21456058C2semidirect
24. #21456056C2semidirect
25. #21455907C2semidirect
26. #21455905C2semidirect
27. #21454789C2semidirect
28. #21454668C2semidirect
29. #21454667C2semidirect
30. C2×#16839842C2semidirect
31. C61×#3318C2semidirect
35. #16840476C22semidirect
36. #16840475C22semidirect
37. #16840471C22semidirect
38. #16840468C22semidirect
39. #16840464C22semidirect
41. #16840460C22semidirect
42. #16840458C22semidirect
44. #16840433C22semidirect
45. #16840432C22semidirect
52. D4×D244C22semidirect
53. #16840396C22semidirect
54. #16840396C22semidirect
55. D4×C22⋊D61C22semidirect
56. D4×C22⋊D61C22semidirect
57. #16840368C22semidirect
58. #16840366C22semidirect
59. #16840365C22semidirect
60. #16840365C22semidirect
65. #16840307C22semidirect
66. #16840307C22semidirect
72. #16840237C22semidirect
73. #16840236C22semidirect
74. #16840234C22semidirect
75. #16840234C22semidirect
76. C2×D4×Dic61C22semidirect
77. C2×#14519739C22semidirect
78. #16840166C22semidirect
79. #16840162C22semidirect
80. #16840161C22semidirect
81. #16840138C22semidirect
82. #16840137C22semidirect
83. #16840137C22semidirect
84. #16840127C22semidirect
85. #16840125C22semidirect
86. #16840125C22semidirect
87. #16840107C22semidirect
88. #16840107C22semidirect
89. #16840089C22semidirect
90. #16840088C22semidirect
91. #16840087C22semidirect
92. #16840086C22semidirect
93. #16840085C22semidirect
94. #16840084C22semidirect
95. #16840083C22semidirect
96. #16840081C22semidirect
97. #16840080C22semidirect
98. #16840078C22semidirect
99. #16840065C22semidirect
100. #16840064C22semidirect
101. #16840063C22semidirect
102. #16840062C22semidirect
103. #16840061C22semidirect
104. #16840060C22semidirect
105. #16840059C22semidirect
106. #16840051C22semidirect
107. #16840051C22semidirect
108. #16840050C22semidirect
109. #16840050C22semidirect
110. #16840015C22semidirect
111. #16840014C22semidirect
112. #16840014C22semidirect
113. #16839998C22semidirect
114. #16839997C22semidirect
115. #16839997C22semidirect
116. #16839996C22semidirect
117. #16839996C22semidirect
118. #16839996C22semidirect
119. #16839996C22semidirect
120. #16839958C22semidirect
121. #16839957C22semidirect
122. #16839956C22semidirect
123. #16839956C22semidirect
124. #16839956C22semidirect
125. #16839956C22semidirect
126. #16839955C22semidirect
127. #16839955C22semidirect
128. #16839955C22semidirect
129. #16839955C22semidirect
130. #16839954C22semidirect
131. #16839898C22semidirect
132. #16839898C22semidirect
133. #16839897C22semidirect
134. #16839897C22semidirect
135. #16839896C22semidirect
136. #16839896C22semidirect
137. #16839895C22semidirect
138. #16839895C22semidirect
139. #16839894C22semidirect
140. #16839894C22semidirect
141. #16839890C22semidirect
142. #16839886C22semidirect
143. #16839875C22semidirect
144. #16839874C22semidirect
145. #16839874C22semidirect
146. #16839873C22semidirect
147. #16839873C22semidirect
148. #16839871C22semidirect
149. #16839871C22semidirect
150. #16839871C22semidirect
151. #16839871C22semidirect
152. #16839871C22semidirect
153. #16839871C22semidirect
154. D8×Dic61C22semidirect
155. #16839844C22semidirect
157. C4×#11758199C22semidirect
161. #16839842C22semidirect
162. #16839842C22semidirect
163. #16839842C22semidirect
164. #16839842C22semidirect
165. #16839842C22semidirect
166. #16839842C22semidirect
167. #16839842C22semidirect
168. #16839842C22semidirect
169. #16839842C22semidirect
170. #16839838C22semidirect
171. #16839833C22semidirect
172. D4×#92418C22semidirect
173. #16839825C22semidirect
174. #16839825C22semidirect
175. #16839822C22semidirect
176. #16839820C22semidirect
177. #16839816C22semidirect
178. #16839798C22semidirect
179. #16839797C22semidirect
180. C2×#14519710C22semidirect
181. #16839768C22semidirect
182. #16839765C22semidirect
183. #16839765C22semidirect
184. C2×#14519699C22semidirect
185. #16839720C22semidirect
186. #16839719C22semidirect
187. C2×C8×Dic61C22semidirect
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
634. #11758199#41semidirect
913. #3318D61semidirect
956. #553C2×D61semidirect
970. D42C2×D61semidirect
1001. #490C2×D61semidirect
1011. #482C2×D61semidirect
1015. #481C2×D61semidirect
1023. #478C2×D61semidirect
1031. #469C2×D61semidirect
1039. #466C2×D61semidirect
1051. #459C2×D61semidirect
1062. #447C2×D61semidirect
1063. #447C2×D61semidirect
1077. #442C2×D61semidirect
1096. #435C2×D61semidirect
1109. #418C2×D61semidirect
1111. C2×#102C2×D61semidirect
1115. C61#61480semidirect

Maximal subgroups

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

subgroupindex
#214598472
#214598382
#214587902
#214586812
#214585272
#214585232
#214582362
#214582192
#214582152
#214580572
#214580562
#214579662
#214579622
#214579562
D4×#117581992
#214574892
#214564682
#214564642
#214563932
#214560642
#214560602
#214560582
#214560562
#214559072
#214559052
#214547892
#214546682
#214546672
C2×#168398422
C61×#33182
#6148061