Finite Group Databasebeta

← #30573212

Subgroups — #30573212

Order 15616.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459773C211yesmaximal, characteristic, complemented
2#21459384C211yesmaximal, characteristic, complemented
3#21458810C211yesmaximal, characteristic, complemented
4#21458807C211yesmaximal, characteristic, complemented
5#21458476C211yesmaximal, characteristic, complemented
6#21458471C211yesmaximal, characteristic, complemented
7#21458109C211yesmaximal, characteristic, complemented
8#21458090C211yesmaximal, characteristic, complemented
9#21458059C211yesmaximal, characteristic, complemented
10#21458036C211yesmaximal, characteristic, complemented
11#21458029C211yesmaximal, characteristic, complemented
12#21457458C211yesmaximal, characteristic, complemented
13#21457451C211yesmaximal, characteristic, complemented
14#21457447C211yesmaximal, characteristic, complemented
15#21457431C211yesmaximal, characteristic, complemented
16#21457423C211yesmaximal, characteristic, complemented
17#21457416C211yesmaximal, characteristic, complemented
18#21457222C211yesmaximal, characteristic, complemented
19#21457216C211yesmaximal, characteristic, complemented
20#21457187C211yesmaximal, characteristic, complemented
21#21456789C211yesmaximal, characteristic, complemented
22#21456785C211yesmaximal, characteristic, complemented
23#21456773C211yesmaximal, characteristic, complemented
24#21455869C211yesmaximal, characteristic, complemented
25#21455843C211yesmaximal, characteristic, complemented
26#21455832C211yesmaximal, characteristic, complemented
27#21455316C211yesmaximal, characteristic, complemented
28#21455310C211yesmaximal, characteristic, complemented
29#21455282C211yesmaximal, characteristic, complemented
30#21454947C211yesmaximal, characteristic, complemented
31C61×#3327C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic, complemented
33C2×#14519808C2211yescharacteristic, complemented
34C2×#14519805C2211yescharacteristic
35C2×#14519805C2211yescharacteristic, complemented
36C2×#14519804C2211yescharacteristic
37C2×#14519802C2211yescharacteristic, complemented
38#16840494C2211yescharacteristic, complemented
39#16840484C2211yescharacteristic, complemented
40#16840484C2211yescharacteristic, complemented
41#16840475C2211yescharacteristic
42#16840474—21no—
43#16840468C2211yescharacteristic, complemented
44#16840463—21no—
45#16840447C2211yescharacteristic, complemented
46#16840444—21no—
47#16840441—21no—
48#16840439—21no—
49#16840436—21no—
50#16840435—21no—
51Q8×C22⋊D61C2211yescharacteristic, complemented
52#16840422C2211yescharacteristic
53#16840414C2211yescharacteristic
54#16840408C2211yescharacteristic
55#16840408C2211yescharacteristic, complemented
56#16840403C2211yescharacteristic, complemented
57#16840401—21no—
58#16840400C2211yescharacteristic
59#16840396C2211yescharacteristic, complemented
60#16840382—21no—
61#16840349—21no—
62#16840346—21no—
63#16840314C2211yescharacteristic, complemented
64#16840308C2211yescharacteristic
65#16840299C2211yescharacteristic, complemented
66#16840298C2211yescharacteristic
67#16840298C2211yescharacteristic, complemented
68#16840297—21no—
69#16840297C2211yescharacteristic, complemented
70#16840295—21no—
71#16840293C2211yescharacteristic, complemented
72C2×#14519766C2211yescharacteristic, complemented
73#124×D61C2211yescharacteristic, complemented
74#16840270—21no—
75#16840234—21no—
76C4×#11758226C2211yescharacteristic, complemented
77#16840230C2211yescharacteristic, complemented
78C4×#11758224C2211yescharacteristic
79C2×#14519739C2211yescharacteristic, complemented
80#117×D61—21no—
81#16840147C2211yescharacteristic
82#16840147C2211yescharacteristic, complemented
83#16840146C2211yescharacteristic
84#16840144C2211yescharacteristic, complemented
85#16840140C2211yescharacteristic, complemented
86#16840133C2211yescharacteristic, complemented
87#16840119C2211yescharacteristic, complemented
88#16840118C2211yescharacteristic, complemented
89#16840118C2211yescharacteristic, complemented
90#16840111C2211yescharacteristic, complemented
91#16840107C2211yescharacteristic, complemented
92#16840103C2211yescharacteristic, complemented
93#16840102C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic, complemented
95#16840080C2211yescharacteristic
96#16840072C2211yescharacteristic, complemented
97#16840071C2211yescharacteristic, complemented
98#16840068C2211yescharacteristic, complemented
99#16840065C2211yescharacteristic, complemented
100#16840065C2211yescharacteristic, complemented
101#16840060C2211yescharacteristic, complemented
102#16840059C2211yescharacteristic, complemented
103#16840055C2211yescharacteristic, complemented
104#16840051C2211yescharacteristic, complemented
105#16840019C2211yescharacteristic, complemented
106#16840018C2211yescharacteristic, complemented
107#16840018C2211yescharacteristic, complemented
108#16840016C2211yescharacteristic
109#16840013C2211yescharacteristic
110#16840011C2211yescharacteristic, complemented
111#16840010C2211yescharacteristic
112#16840009C2211yescharacteristic, complemented
113#16840008C2211yescharacteristic
114#16840008C2211yescharacteristic, complemented
115#16839987C2211yescharacteristic, complemented
116#16839987C2211yescharacteristic, complemented
117#16839987C2211yescharacteristic, complemented
118#16839987C2211yescharacteristic, complemented
119#16839987C2211yescharacteristic, complemented
120#16839986C2211yescharacteristic, complemented
121#16839986C2211yescharacteristic, complemented
122#16839984C2211yescharacteristic, complemented
123#16839984C2211yescharacteristic, complemented
124#16839983C2211yescharacteristic, complemented
125#16839982C2211yescharacteristic, complemented
126#16839980C2211yescharacteristic
127#16839980C2211yescharacteristic
128#16839980C2211yescharacteristic
129#16839980C2211yescharacteristic, complemented
130#16839980C2211yescharacteristic, complemented
131#16839980C2211yescharacteristic, complemented
132#16839979C2211yescharacteristic, complemented
133#16839978C2211yescharacteristic
134#16839978C2211yescharacteristic, complemented
135#16839976C2211yescharacteristic, complemented
136#16839976C2211yescharacteristic, complemented
137#16839974C2211yescharacteristic, complemented
138#16839970C2211yescharacteristic, complemented
139#16839966C2211yescharacteristic, complemented
140#16839966C2211yescharacteristic, complemented
141#16839966C2211yescharacteristic, complemented
142#16839956C2211yescharacteristic
143#16839956C2211yescharacteristic
144#16839926C2211yescharacteristic, complemented
145#16839926C2211yescharacteristic, complemented
146#16839924C2211yescharacteristic, complemented
147#16839923C2211yescharacteristic, complemented
148#16839922C2211yescharacteristic, complemented
149#16839919C2211yescharacteristic, complemented
150#16839914C2211yescharacteristic, complemented
151#16839912C2211yescharacteristic, complemented
152#16839912C2211yescharacteristic, complemented
153#16839910C2211yescharacteristic
154#16839905C2211yescharacteristic
155#16839902C2211yescharacteristic, complemented
156#16839901C2211yescharacteristic, complemented
157#16839898C2211yescharacteristic
158#16839898C2211yescharacteristic
159#16839897C2211yescharacteristic
160C8×Dic122C2211yescharacteristic, complemented
161#16839886C2211yescharacteristic, complemented
162#16839856C2211yescharacteristic, complemented
163#16839853C2211yescharacteristic, complemented
164C4×#11758201C2211yescharacteristic, complemented
165C4×#11758201C2211yescharacteristic, complemented
166#16839849C2211yescharacteristic, complemented
167#16839847C2211yescharacteristic, complemented
168#16839847C2211yescharacteristic, complemented
169C4×D488C2211yescharacteristic, complemented
170#16839844C2211yescharacteristic
171#16839844C2211yescharacteristic
172#16839842C2211yescharacteristic, complemented
173#16839840C2211yescharacteristic, complemented
174#16839838C2211yescharacteristic, complemented
175#16839838C2211yescharacteristic, complemented
176#16839837C2211yescharacteristic, complemented
177#16839837C2211yescharacteristic, complemented
178#16839813C2211yescharacteristic, complemented
179#16839812C2211yescharacteristic, complemented
180#16839812C2211yescharacteristic, complemented
181#16839785C2211yescharacteristic, complemented
182#16839785C2211yescharacteristic, complemented
183#16839784C2211yescharacteristic, complemented
184#16839769C2211yescharacteristic, complemented
185#16839766C2211yescharacteristic, complemented
186#16839765C2211yescharacteristic, complemented
187#16839761C2211yescharacteristic, complemented
188C61×#552C2211yescharacteristic, complemented
189C61×#548C2211yescharacteristic
190C61×#488C2211yescharacteristic, complemented
191C61×#484C2211yescharacteristic, complemented
192C61×#482C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#470C2211yescharacteristic, complemented
195C61×#468C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#451C2211yescharacteristic, complemented
199C4×Q16×C61C2211yescharacteristic, complemented
200C61×#436C2211yescharacteristic, complemented
201C61×#419C2211yescharacteristic, complemented
202C61×#417C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×#11758222C2311yescharacteristic
206C2×#11758224D411yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C22×D244C2311yescharacteristic
209C22×D244C2311yescharacteristic
210C2×D4×D61—21no—
211C2×D4×D61C2311yescharacteristic
212C22×C4×D61—21no—
213#14519809—42no—
214#14519808—42no—
215#14519805—42no—
216#14519805—42no—
217#14519804—42no—
218#14519802—42no—
219C2×Dic244C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758200C2311yescharacteristic
228C2×#11758201C2311yescharacteristic
229C2×#11758201C2311yescharacteristic
230C2×#11758201C2311yescharacteristic
231C2×#11758201C2311yescharacteristic
232C2×#11758201C2311yescharacteristic
233C2×#11758201C2311yescharacteristic
234C2×D488C2311yescharacteristic
235C2×D488C2311yescharacteristic
236C2×D488C2311yescharacteristic
237C2×D488C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239C2×#11758199C2311yescharacteristic
240C2×#11758194C2311yescharacteristic
241C2×#11758194C2311yescharacteristic
242C2×#11758189C2311yescharacteristic
243C2×#11758189C2311yescharacteristic
244#14519776C2311yescharacteristic
245#14519775—21no—
246#14519775C2311yescharacteristic
247#14519775C2311yescharacteristic
248#14519773C2311yescharacteristic
249#14519772—21no—
250#14519772—21no—
251#14519772—21no—
252#14519772—21no—
253#14519772—21no—
254#14519772—21no—
255#14519772—21no—
256#14519771—21no—
257#14519771—21no—
258#14519770—21no—
259#14519768C2311yescharacteristic
260#14519768C2311yescharacteristic
261#14519767—21no—
262#14519767—21no—
263#14519766—21no—
264#14519766—21no—
265#14519766C2311yescharacteristic
266#14519766C2311yescharacteristic
267#14519766C2311yescharacteristic
268#14519766C2311yescharacteristic
269#14519766C2311yescharacteristic
270#14519765—21no—
271#14519765C2311yescharacteristic
272#14519765C2311yescharacteristic
273#14519764C2311yescharacteristic
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519762—21no—
280#14519762—21no—
281#14519762—21no—
282#14519762—21no—
283#14519762—21no—
284#14519762—21no—
285#14519761—21no—
286#14519761—21no—
287#14519761—21no—
288#14519760—21no—
289#14519760—21no—
290#14519759—21no—
291#14519759—21no—
292#14519758—21no—
293#14519757—21no—
294#14519757C2311yescharacteristic
295#14519756—21no—
296#14519756C2311yescharacteristic
297#14519756C2311yescharacteristic
298#14519755—21no—
299#14519755—21no—
300#14519755—21no—
301#14519755—21no—
302#14519755—21no—
303#14519754—21no—
304#14519753—21no—
305#14519753C2311yescharacteristic
306#14519752—21no—
307#14519752C2311yescharacteristic
308#14519752C2311yescharacteristic
309#14519751C2311yescharacteristic
310#14519751C2311yescharacteristic
311#14519750—21no—
312#14519750—21no—
313#14519750—21no—
314#14519750—21no—
315#14519750—21no—
316#14519750—21no—
317#14519749—21no—
318#14519749—21no—
319#14519749—21no—
320#14519747—21no—
321#14519747—21no—
322#14519745—21no—
323#14519745—21no—
324#14519745—21no—
325#14519745—21no—
326Q8×Dic61C2311yescharacteristic
327Q8×Dic61C2311yescharacteristic
328C4×Dic122C2311yescharacteristic
329#14519742—21no—
330#14519742D411yescharacteristic
331#14519742C2311yescharacteristic
332#14519742C2311yescharacteristic
333#14519742C2311yescharacteristic
334C4×D244—21no—
335C4×D244—21no—
336C4×D244C2311yescharacteristic
337C4×D244C2311yescharacteristic
338D4×Dic61—21no—
339D4×Dic61D411yescharacteristic
340D4×Dic61C2311yescharacteristic
341#14519739—21no—
342#14519739—21no—
343#14519739—21no—
344#14519739—21no—
345#14519739—21no—
346#14519739C2311yescharacteristic
347#14519739C2311yescharacteristic
348#14519739C2311yescharacteristic
349#14519739C2311yescharacteristic
350#14519739C2311yescharacteristic
351#14519739C2311yescharacteristic
352C4×C22⋊D61—21no—
353C4×C22⋊D61—21no—
354C4×C22⋊D61—21no—
355C4×C22⋊D61C2311yescharacteristic
356C4×C22⋊D61C2311yescharacteristic
357#14519737—21no—
358#14519737—21no—
359#14519737—21no—
360#14519737—21no—
361#14519737—21no—
362#14519737D411yescharacteristic
363#14519737D411yescharacteristic
364#14519736—21no—
365#14519735—21no—
366#14519735—21no—
367#14519735—21no—
368#14519735—21no—
369#14519735D411yescharacteristic
370#14519735C2311yescharacteristic
371#14519734—21no—
372#14519734—21no—
373#14519734—21no—
374#14519734—21no—
375#14519734—21no—
376#14519733—21no—
377#14519733—21no—
378#14519733D411yescharacteristic
379#14519733D411yescharacteristic
380C4⋊C4×D61—21no—
381C4⋊C4×D61—21no—
382C2×#11758198—21no—
383C2×#11758198—21no—
384C2×#11758198—21no—
385C2×#11758198—21no—
386C22⋊C4×D61—21no—
387C22⋊C4×D61—21no—
388C22⋊C4×D61—21no—
389C22⋊C4×D61—21no—
390C22⋊C4×D61—21no—
391C2×C4×Dic61C2311yescharacteristic
392C2×C4×Dic61C2311yescharacteristic
393C42×D61—21no—
394C42×D61—21no—
395C42×D61C2311yescharacteristic
396#14519711C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519708C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436C4×#92418C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C22×Q8×C61C2311yescharacteristic
443C2×Q16×C61C2311yescharacteristic
444C2×Q16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C2×M16×C61C2311yescharacteristic
447C2×M16×C61C2311yescharacteristic
448#126×C61—21no—
449#125×C61—21no—
450#125×C61C2311yescharacteristic
451#124×C61—21no—
452#124×C61C2311yescharacteristic
453#123×C61—21no—
454C22⋊Q8×C61—21no—
455C22⋊Q8×C61C2311yescharacteristic
456C22⋊Q8×C61C2311yescharacteristic
457C22⋊Q8×C61C2311yescharacteristic
458#121×C61—21no—
459#121×C61C2311yescharacteristic
460C4×Q8×C61C2311yescharacteristic
461C4×Q8×C61C2311yescharacteristic
462C4×D4×C61—21no—
463C4×D4×C61C2311yescharacteristic
464#117×C61—21no—
465#117×C61C2311yescharacteristic
466C2×C4⋊C4×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#107×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485C23×D61—21no—
486C23×D61—21no—
487#41×C61—41no—
488#41×C61—41no—
489C2×Q8×C61—21no—
490C2×Q8×C61—41no—
491C2×Q8×C61—41no—
492C2×Q8×C61C2411yescharacteristic
493C2×Q8×C61C2411yescharacteristic
494C2×Q8×C61C2411yescharacteristic
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61C2×D411yescharacteristic
498C2×D4×C61C2411yescharacteristic
499C22×C4×C61—21no—
500C22×C4×C61—21no—
501C22×C4×C61—21no—
502C22×C4×C61C2411yescharacteristic
503C22×C4×C61C2411yescharacteristic
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61C2×D411yescharacteristic
512C2×C22⋊D61C2×D411yescharacteristic
513C22×Dic61—21no—
514C22×Dic61C2×D411yescharacteristic
515C22×Dic61C2×D411yescharacteristic
516C22×Dic61C2×D411yescharacteristic
517C22×Dic61C2×D411yescharacteristic
518#11758226—22no—
519#11758226—41no—
520Q8×D61—41no—
521Q8×D61—41no—
522#11758224—42no—
523D4×D61—41no—
524D4×D61—41no—
525D4×D61—44no—
526#11758222—22no—
527#11758222—41no—
528#11758222—41no—
529#11758222—41no—
530C2×D244—22no—
531C2×D244—21no—
532C2×D244—21no—
533C2×D244—21no—
534C2×D244—21no—
535C2×D244—21no—
536C2×D244—41no—
537C2×D244—41no—
538C2×D244—41no—
539C2×D244C2411yescharacteristic
540C2×D244C2411yescharacteristic
541C2×D244C2411yescharacteristic
542C2×D244C2411yescharacteristic
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61—21no—
546C2×C4×D61—21no—
547C2×C4×D61—21no—
548C2×C4×D61—21no—
549C2×C4×D61—21no—
550C2×C4×D61—21no—
551C2×C4×D61—21no—
552C2×C4×D61—21no—
553C2×C4×D61—21no—
554C2×C4×D61—21no—
555C2×C4×D61—44no—
556C2×C4×D61C2×D411yescharacteristic
557C2×C4×D61C2×D411yescharacteristic
558C2×C4×D61C2411yescharacteristic
559C2×Dic122—21no—
560C2×Dic122—21no—
561C2×Dic122C2×D411yescharacteristic
562C2×Dic122C2411yescharacteristic
563C2×Dic122C2411yescharacteristic
564Q16×C61—41no—
565Q16×C61—41no—
566SD16×C61—41no—
567M16×C61—41no—
568M16×C61—41no—
569C2×C8×C61C2411yescharacteristic
570C2×C8×C61C2411yescharacteristic
571C2×C8×C61C2411yescharacteristic
572C2×C8×C61C2411yescharacteristic
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61—21no—
576C4⋊C4×C61—21no—
577C4⋊C4×C61—21no—
578C4⋊C4×C61—21no—
579C4⋊C4×C61—21no—
580C4⋊C4×C61—21no—
581C4⋊C4×C61C2×D411yescharacteristic
582C4⋊C4×C61C2411yescharacteristic
583C4⋊C4×C61C2411yescharacteristic
584C4⋊C4×C61C2411yescharacteristic
585C4⋊C4×C61C2411yescharacteristic
586C22⋊C4×C61—21no—
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C22⋊C4×C61—21no—
591C22⋊C4×C61—21no—
592C22⋊C4×C61—21no—
593C22⋊C4×C61C2×D411yescharacteristic
594C22⋊C4×C61C2×D411yescharacteristic
595C42×C61—21no—
596C42×C61—21no—
597C42×C61—21no—
598C42×C61C2411yescharacteristic
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603C22⋊Dic61—21no—
604C22⋊Dic61C2×D411yescharacteristic
605C22⋊Dic61C2×D411yescharacteristic
606#11758202—41no—
607#11758202—41no—
608#11758202—41no—
609#11758201—22no—
610#11758201—22no—
611#11758201—41no—
612#11758201—41no—
613#11758201—41no—
614#11758201—41no—
615#11758200—41no—
616#11758199—22no—
617#11758199—41no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
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#11758198C2×D411yescharacteristic
648#11758198C2×D411yescharacteristic
649C4⋊Dic61—21no—
650C4⋊Dic61—21no—
651C4⋊Dic61—21no—
652C4⋊Dic61—21no—
653C4⋊Dic61—21no—
654C4⋊Dic61C2×D411yescharacteristic
655C4⋊Dic61C2411yescharacteristic
656C4⋊Dic61C2411yescharacteristic
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196C2×D411yescharacteristic
671#11758196C2×D411yescharacteristic
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61C2×D411yescharacteristic
681C4×Dic61C2×D411yescharacteristic
682C4×Dic61C2×D411yescharacteristic
683C4×Dic61C2×D411yescharacteristic
684C4×Dic61C2×D411yescharacteristic
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2411yescharacteristic
687C4×Dic61C2411yescharacteristic
688C4×Dic61C2411yescharacteristic
689#11758194—41no—
690#11758194—41no—
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694C2×#92418C2411yescharacteristic
695Dic244—41no—
696D488—22no—
697D488—22no—
698D488—41no—
699D488—41no—
700#11758190—22no—
701#11758190—41no—
702#11758190—41no—
703#11758190—41no—
704#11758189—41no—
705#11758189—41no—
706C23×C61—21no—
707C23×C61C22×D411yescharacteristic
708C23×C61C22×D411yescharacteristic
709C22×D61—21no—
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—21no—
713C22×D61—42no—
714C22×D61—42no—
715C22×D61—42no—
716C22×D61—42no—
717C22×D61—81no—
718C22×D61—81no—
719C22×D61—81no—
720C22×D61—81no—
721C22×D61—81no—
722C22×D61C22×D411yescharacteristic
723Q8×C61—21no—
724Q8×C61—21no—
725Q8×C61—21no—
726Q8×C61—21no—
727Q8×C61—21no—
728Q8×C61—21no—
729Q8×C61—81no—
730D4×C61—21no—
731D4×C61—21no—
732D4×C61—41no—
733D4×C61—42no—
734D4×C61—81no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—42no—
747C2×C4×C61—81no—
748C2×C4×C61—81no—
749C2×C4×C61C22×D411yescharacteristic
750C2×C4×C61C22×D411yescharacteristic
751C2×C4×C61C22×D411yescharacteristic
752C2×C4×C61C22×D411yescharacteristic
753C2×C4×C61C2511yescharacteristic
754C22⋊D61—22no—
755C22⋊D61—41no—
756C22⋊D61—42no—
757C22⋊D61—42no—
758C22⋊D61—81no—
759C22⋊D61—81no—
760C22⋊D61—81no—
761C22⋊D61—81no—
762C22⋊D61—81no—
763C2×Dic61—22no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—41no—
769C2×Dic61—41no—
770C2×Dic61—41no—
771C2×Dic61—81no—
772C2×Dic61C22×D411yescharacteristic
773C2×Dic61C22×D411yescharacteristic
774C2×Dic61C22×D411yescharacteristic
775C2×Dic61C22×D411yescharacteristic
776C2×Dic61C22×D411yescharacteristic
777C2×Dic61C22×D411yescharacteristic
778C2×Dic61C22×D411yescharacteristic
779D244—21no—
780D244—21no—
781D244—21no—
782D244—21no—
783D244—21no—
784D244—21no—
785D244—21no—
786D244—42no—
787D244—42no—
788D244—42no—
789D244—81no—
790D244—81no—
791D244H(5,𝔽2)12yes—
792C4×D61—21no—
793C4×D61—21no—
794C4×D61—41no—
795C4×D61—41no—
796C4×D61—42no—
797C4×D61—42no—
798C4×D61—42no—
799C4×D61—42no—
800C4×D61—42no—
801C4×D61—42no—
802C4×D61—42no—
803C4×D61—81no—
804C4×D61—81no—
805C4×D61—81no—
806C4×D61—81no—
807C4×D61—81no—
808Dic122—22no—
809Dic122—21no—
810Dic122—21no—
811Dic122—21no—
812Dic122—21no—
813Dic122—81no—
814Dic122—81no—
815C8×C61—21no—
816C8×C61—21no—
817C8×C61—21no—
818C8×C61—21no—
819#92418—21no—
820#92418—21no—
821#92418—21no—
822#92418—21no—
823#62004—611nomaximal, Sylow
824C22×C61—21no—
825C22×C61—21no—
826C22×C61—21no—
827C22×C61—21no—
828C22×C61—21no—
829C22×C61—21no—
830C22×C61—41no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61C23×D411yescharacteristic
834C2×D61—21no—
835C2×D61—21no—
836C2×D61—22no—
837C2×D61—21no—
838C2×D61—41no—
839C2×D61—41no—
840C2×D61—41no—
841C2×D61—41no—
842C2×D61—41no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—84no—
850C2×D61—162no—
851C2×D61—162no—
852C4×C61—21no—
853C4×C61—21no—
854C4×C61—21no—
855C4×C61—21no—
856C4×C61—41no—
857C4×C61—41no—
858C4×C61—41no—
859C4×C61—41no—
860C4×C61—41no—
861C4×C61—41no—
862C4×C61—41no—
863C4×C61C2×H(5,𝔽2)11yescharacteristic
864C4×C61#58511yescharacteristic
865Dic61—21no—
866Dic61—21no—
867Dic61—21no—
868Dic61—21no—
869Dic61—21no—
870Dic61—21no—
871Dic61—41no—
872Dic61—41no—
873Dic61—41no—
874Dic61—41no—
875Dic61#57512yes—
876#3514—611no—
877#3475—611no—
878#3394—611no—
879#3393—611no—
880#3361—611no—
881#3360—611no—
882#3329—611no—
883#3327—611no—
884#3327D6111yescharacteristic, complemented
885#3325—611no—
886#3323—611no—
887#3323—611no—
888#3276—611no—
889#3275—611no—
890#3275—611no—
891#3273—611no—
892#3273—611no—
893#3272—611no—
894#3256—611no—
895#3256—611no—
896#3252—611no—
897#3211—611no—
898#3211—611no—
899#3210—611no—
900#3105—611no—
901#3102—611no—
902#3102—611no—
903#3040—611no—
904#3040—611no—
905#3036—611no—
906#2991—611no—
907C2×C61—41no—
908C2×C61—41no—
909C2×C61—81no—
910C2×C61#348811yescharacteristic
911C2×C61C2×#57511yescharacteristic
912C2×C61#358411yescharacteristic
913D61—41no—
914D61—42no—
915D61—81no—
916D61—81no—
917D61—81no—
918C2×#137—611no—
919C2×#137—611no—
920C2×AGL(1,ℤ/8)—611no—
921C2×AGL(1,ℤ/8)—611no—
922C2×AGL(1,ℤ/8)—611no—
923C2×AGL(1,ℤ/8)—611no—
924#559—611no—
925#556—611no—
926#556—611no—
927#555—611no—
928#555—1221no—
929#554—611no—
930#553—1221no—
931#552—611no—
932#552—1221no—
933#552C2×D6111yescharacteristic, complemented
934#551—1221no—
935#551—1221no—
936#551—1221no—
937#551—1221no—
938D4×Q8—611no—
939#548—611no—
940#548C2×D6111yescharacteristic
941#547—611no—
942#546—611no—
943#546—611no—
944#546—611no—
945#546—611no—
946#546—1221no—
947D42—611no—
948#542—1221no—
949#538—1221no—
950#538—1221no—
951#533—611no—
952#532—611no—
953#529—611no—
954#529—611no—
955#529—611no—
956#529—611no—
957#529—611no—
958#529—1221no—
959#529—1221no—
960C2×#124—611no—
961C2×#124—611no—
962#525—1221no—
963#518—1221no—
964C4×#41—611no—
965C4×#41—611no—
966C4×#41—611no—
967C2×C4×D4—611no—
968C2×#117—1221no—
969#495—611no—
970#495—611no—
971#495—611no—
972#495—611no—
973#494—611no—
974#492—611no—
975#488—611no—
976#488—611no—
977#488—611no—
978#488C2×D6111yescharacteristic, complemented
979#487—611no—
980#486—611no—
981#485—611no—
982#485—611no—
983#484C2×D6111yescharacteristic, complemented
984#482—611no—
985#482C2×D6111yescharacteristic, complemented
986#481—611no—
987#479—611no—
988#479—611no—
989#479—611no—
990#479C2×D6111yescharacteristic, complemented
991#478—611no—
992#478—611no—
993#478—611no—
994#478—611no—
995#477—611no—
996#476—611no—
997#470—611no—
998#470—611no—
999#470—611no—
1000#470C2×D6111yescharacteristic, complemented
1001#469—611no—
1002#469—611no—
1003#468—611no—
1004#468—611no—
1005#468—611no—
1006#468—611no—
1007#468—611no—
1008#468C2×D6111yescharacteristic, complemented
1009#464—611no—
1010#464—611no—
1011#464—611no—
1012#464—611no—
1013#464—611no—
1014#464—611no—
1015#464—611no—
1016#464—611no—
1017#464—611no—
1018#464—611no—
1019#464—611no—
1020#464C2×D6111yescharacteristic, complemented
1021#463—611no—
1022#463—611no—
1023#463—611no—
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#463—611no—
1028#463—611no—
1029#463—611no—
1030#463—611no—
1031#463—611no—
1032#463—611no—
1033#462—611no—
1034#461—611no—
1035#461—611no—
1036#461—611no—
1037#459—611no—
1038#459—611no—
1039#452—611no—
1040#452—611no—
1041#452—611no—
1042#452—611no—
1043#452—611no—
1044#452C2×D6111yescharacteristic, complemented
1045#451—611no—
1046#451C2×D6111yescharacteristic, complemented
1047#450—611no—
1048#450—611no—
1049#450—611no—
1050#449—611no—
1051#449—611no—
1052#448—611no—
1053#448—611no—
1054#447—611no—
1055#447—611no—
1056#447—611no—
1057C8×Q8—611no—
1058C8×Q8—611no—
1059C4×Q16—611no—
1060C4×Q16C2×D6111yescharacteristic, complemented
1061C4×SD16—611no—
1062C4×SD16—611no—
1063C4×SD16—611no—
1064C4×SD16—611no—
1065C4×SD16—611no—
1066C4×SD16—611no—
1067C4×D8—611no—
1068C4×D8—611no—
1069C4×D8—611no—
1070C4×D8—611no—
1071#436—611no—
1072#436—611no—
1073#436—611no—
1074#436—611no—
1075#436—611no—
1076#436C2×D6111yescharacteristic, complemented
1077#431—611no—
1078#431—611no—
1079#431—611no—
1080#423—611no—
1081#423—611no—
1082#423—611no—
1083#419—611no—
1084#419C2×D6111yescharacteristic, complemented
1085#418—611no—
1086#418—611no—
1087#417—611no—
1088#417C2×D6111yescharacteristic, complemented
1089C61#6200411yescharacteristic, complemented, Sylow
1090C2×#41—611no—
1091C2×#41—611no—
1092C2×#41—611no—
1093C2×#41—611no—
1094C2×#41C22×D6111yescharacteristic
1095C22×Q8—611no—
1096C22×Q8C22×D6111yescharacteristic
1097C22×D4—611no—
1098C22×D4—611no—
1099C22×D4—611no—
1100C22×D4—1221no—
1101C23×C4—1221no—
1102#137—2442no—
1103#137—2442no—
1104AGL(1,ℤ/8)—2442no—
1105AGL(1,ℤ/8)—2442no—
1106AGL(1,ℤ/8)—2442no—
1107AGL(1,ℤ/8)—2442no—
1108C2×Q16—611no—
1109C2×Q16—611no—
1110C2×Q16—611no—
1111C2×Q16—611no—
1112C2×Q16C22×D6111yescharacteristic
1113C2×Q16C22×D6111yescharacteristic
1114C2×SD16—611no—
1115C2×SD16—611no—
1116C2×SD16—611no—
1117C2×SD16—611no—
1118C2×SD16—611no—
1119C2×SD16—611no—
1120C2×SD16—611no—
1121C2×SD16—611no—
1122C2×SD16—611no—
1123C2×SD16—611no—
1124C2×SD16—611no—
1125C2×SD16C22×D6111yescharacteristic
1126C2×D8—611no—
1127C2×D8—611no—
1128C2×D8—611no—
1129C2×D8—611no—
1130C2×D8—611no—
1131C2×D8—611no—
1132C2×M16—611no—
1133C2×M16—611no—
1134C2×M16—611no—
1135C2×M16—611no—
1136C2×M16C22×D6111yescharacteristic
1137C2×M16C22×D6111yescharacteristic
1138C4⋊Q8—611no—
1139C4⋊Q8—611no—
1140C4⋊Q8—611no—
1141C4⋊Q8—1221no—
1142#127—611no—
1143#126—21no—
1144#126—1221no—
1145#126—1221no—
1146#126—1221no—
1147#126—1221no—
1148#126—1221no—
1149#126—1221no—
1150#126—1221no—
1151#126—1221no—
1152#126—1221no—
1153#126—1221no—
1154#125—21no—
1155#125—611no—
1156#125—611no—
1157#125—1221no—
1158#125—1221no—
1159#125C22×D6111yescharacteristic
1160#124—21no—
1161#124—611no—
1162#124—611no—
1163#124—611no—
1164#124—611no—
1165#124—611no—
1166#124—611no—
1167#124—611no—
1168#124—611no—
1169#124—1221no—
1170#124—1221no—
1171#124—1221no—
1172#124—1221no—
1173#124—1221no—
1174#124—1221no—
1175#124—1221no—
1176#124—1221no—
1177#124C22×D6111yescharacteristic
1178#123—21no—
1179#123—1221no—
1180#123—1221no—
1181#123—1221no—
1182#123—1221no—
1183#123—1221no—
1184#123—1221no—
1185#123—1221no—
1186#123—1221no—
1187#123—1221no—
1188#123—1221no—
1189#123—1221no—
1190#123—1221no—
1191#123—1221no—
1192#123—1221no—
1193C22⋊Q8—21no—
1194C22⋊Q8—611no—
1195C22⋊Q8—611no—
1196C22⋊Q8—611no—
1197C22⋊Q8—611no—
1198C22⋊Q8—1221no—
1199C22⋊Q8—1221no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8—1221no—
1204C22⋊Q8—1221no—
1205C22⋊Q8—1221no—
1206C22⋊Q8—1221no—
1207C22⋊Q8C22×D6111yescharacteristic
1208C22⋊Q8C22×D6111yescharacteristic
1209C22⋊Q8C22×D6111yescharacteristic
1210#121—21no—
1211#121—611no—
1212#121—611no—
1213#121—611no—
1214#121—611no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121—1221no—
1222#121—1221no—
1223#121—1221no—
1224#121—1221no—
1225#121C22×D6111yescharacteristic
1226#120—1221no—
1227#120—1221no—
1228#120—1221no—
1229#120—1221no—
1230#120—1221no—
1231#120—1221no—
1232C4×Q8—611no—
1233C4×Q8—611no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—611no—
1237C4×Q8—611no—
1238C4×Q8—611no—
1239C4×Q8—1221no—
1240C4×Q8C22×D6111yescharacteristic
1241C4×Q8C22×D6111yescharacteristic
1242C4×D4—21no—
1243C4×D4—611no—
1244C4×D4—611no—
1245C4×D4—611no—
1246C4×D4—611no—
1247C4×D4—611no—
1248C4×D4—611no—
1249C4×D4—611no—
1250C4×D4—611no—
1251C4×D4—611no—
1252C4×D4—611no—
1253C4×D4—611no—
1254C4×D4—611no—
1255C4×D4—611no—
1256C4×D4—611no—
1257C4×D4—1221no—
1258C4×D4—1221no—
1259C4×D4—1221no—
1260C4×D4—1221no—
1261C4×D4—1221no—
1262C4×D4—1221no—
1263C4×D4—1221no—
1264C4×D4—1221no—
1265C4×D4—1221no—
1266C4×D4—1221no—
1267C4×D4—1221no—
1268C4×D4—1221no—
1269C4×D4—1221no—
1270C4×D4—1221no—
1271C4×D4—1221no—
1272C4×D4—1221no—
1273C4×D4C22×D6111yescharacteristic
1274#117—21no—
1275#117—611no—
1276#117—611no—
1277#117—611no—
1278#117—611no—
1279#117—1221no—
1280#117—1221no—
1281#117—1221no—
1282#117—1221no—
1283#117—1221no—
1284#117—1221no—
1285#117—1221no—
1286#117—1221no—
1287#117—1221no—
1288#117—1221no—
1289#117—1221no—
1290#117—1221no—
1291#117C22×D6111yescharacteristic
1292C2×C4⋊C4—1221no—
1293C2×C4⋊C4—1221no—
1294C2×C4⋊C4C22×D6111yescharacteristic
1295C2×C22⋊C4—1221no—
1296C2×C22⋊C4—1221no—
1297C2×C22⋊C4—1221no—
1298C2×C22⋊C4—1221no—
1299C2×C22⋊C4—1221no—
1300C2×C22⋊C4—1221no—
1301C2×C22⋊C4—1221no—
1302C2×C22⋊C4—1221no—
1303C2×C22⋊C4—1221no—
1304C2×C42—611no—
1305C2×C42—611no—
1306C2×C42—611no—
1307C2×C42—1221no—
1308C2×C42—1221no—
1309#107—611no—
1310#107—611no—
1311#107C22×D6111yescharacteristic
1312#107C22×D6111yescharacteristic
1313#106—611no—
1314#106—611no—
1315#106—611no—
1316#106C22×D6111yescharacteristic
1317C4⋊C8—611no—
1318C4⋊C8—611no—
1319C4⋊C8—611no—
1320C4⋊C8—611no—
1321C4⋊C8—611no—
1322C4⋊C8—611no—
1323C4⋊C8—611no—
1324C4⋊C8—611no—
1325C4⋊C8—611no—
1326C4⋊C8C22×D6111yescharacteristic
1327#103—611no—
1328#103—611no—
1329#103—611no—
1330#103—611no—
1331#103—611no—
1332#103—611no—
1333#103—611no—
1334#103—611no—
1335#103—611no—
1336#103C22×D6111yescharacteristic
1337#103C22×D6111yescharacteristic
1338#103C22×D6111yescharacteristic
1339#103C22×D6111yescharacteristic
1340#103C22×D6111yescharacteristic
1341#103C22×D6111yescharacteristic
1342#103C22×D6111yescharacteristic
1343#102—611no—
1344#102—611no—
1345#102—611no—
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#102C22×D6111yescharacteristic
1357#102C22×D6111yescharacteristic
1358#102C22×D6111yescharacteristic
1359C22⋊C8—611no—
1360C22⋊C8—611no—
1361C22⋊C8—611no—
1362C22⋊C8—611no—
1363C22⋊C8C22×D6111yescharacteristic
1364C22⋊C8C22×D6111yescharacteristic
1365C4×C8—611no—
1366C4×C8—611no—
1367C4×C8—611no—
1368C4×C8—611no—
1369C4×C8—611no—
1370C4×C8C22×D6111yescharacteristic
1371C24—1221no—
1372C24—1221no—
1373C24—1221no—
1374#41—41no—
1375#41—41no—
1376#41—1222no—
1377#41—1222no—
1378#41—2441no—
1379#41—2441no—
1380#41—2441no—
1381#41—2442no—
1382#41—2441no—
1383C2×Q8—21no—
1384C2×Q8—41no—
1385C2×Q8—41no—
1386C2×Q8—611no—
1387C2×Q8—611no—
1388C2×Q8—611no—
1389C2×Q8—1221no—
1390C2×Q8—1221no—
1391C2×Q8—2441no—
1392C2×Q8—2441no—
1393C2×Q8C23×D6111yescharacteristic
1394C2×Q8C23×D6111yescharacteristic
1395C2×Q8C23×D6111yescharacteristic
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—611no—
1399C2×D4—611no—
1400C2×D4—611no—
1401C2×D4—611no—
1402C2×D4—611no—
1403C2×D4—611no—
1404C2×D4—1222no—
1405C2×D4—1221no—
1406C2×D4—1221no—
1407C2×D4—1221no—
1408C2×D4—1221no—
1409C2×D4—1221no—
1410C2×D4—1221no—
1411C2×D4—1221no—
1412C2×D4—1221no—
1413C2×D4—1221no—
1414C2×D4—1221no—
1415C2×D4—1221no—
1416C2×D4—1221no—
1417C2×D4—2441no—
1418C2×D4—2441no—
1419C2×D4—2441no—
1420C2×D4—2441no—
1421C2×D4—2441no—
1422C2×D4—2444no—
1423C2×D4D4×D6111yescharacteristic
1424C2×D4C23×D6111yescharacteristic
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—611no—
1429C22×C4—611no—
1430C22×C4—611no—
1431C22×C4—611no—
1432C22×C4—611no—
1433C22×C4—611no—
1434C22×C4—611no—
1435C22×C4—1221no—
1436C22×C4—1221no—
1437C22×C4—1221no—
1438C22×C4—1221no—
1439C22×C4—1221no—
1440C22×C4—1221no—
1441C22×C4—1221no—
1442C22×C4—1221no—
1443C22×C4—1221no—
1444C22×C4—1221no—
1445C22×C4—1221no—
1446C22×C4—1221no—
1447C22×C4—1221no—
1448C22×C4—2444no—
1449C22×C4C23×D6111yescharacteristic
1450C22×C4C23×D6111yescharacteristic
1451Q16—41no—
1452Q16—41no—
1453Q16—2441no—
1454Q16—2441no—
1455Q16—2441no—
1456Q16—2441no—
1457SD16—41no—
1458SD16—1222no—
1459SD16—1222no—
1460SD16—1222no—
1461SD16—2441no—
1462SD16—2441no—
1463SD16—2441no—
1464SD16—2441no—
1465SD16—2441no—
1466SD16—2441no—
1467SD16—2441no—
1468SD16—2441no—
1469D8—1222no—
1470D8—1222no—
1471D8—1222no—
1472D8—2441no—
1473D8—2441no—
1474D8—2441no—
1475M16—41no—
1476M16—41no—
1477M16—2441no—
1478M16—2441no—
1479M16—2441no—
1480M16—2441no—
1481C2×C8—611no—
1482C2×C8—611no—
1483C2×C8—611no—
1484C2×C8—611no—
1485C2×C8C23×D6111yescharacteristic
1486C2×C8C23×D6111yescharacteristic
1487C2×C8C23×D6111yescharacteristic
1488C2×C8C23×D6111yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—611no—
1498C4⋊C4—611no—
1499C4⋊C4—611no—
1500C4⋊C4—611no—
1501C4⋊C4—611no—
1502C4⋊C4—611no—
1503C4⋊C4—611no—
1504C4⋊C4—1221no—
1505C4⋊C4—1221no—
1506C4⋊C4—1221no—
1507C4⋊C4—1221no—
1508C4⋊C4—1221no—
1509C4⋊C4—1221no—
1510C4⋊C4—1221no—
1511C4⋊C4—1221no—
1512C4⋊C4—1221no—
1513C4⋊C4—1221no—
1514C4⋊C4—1221no—
1515C4⋊C4—1221no—
1516C4⋊C4—1221no—
1517C4⋊C4—1221no—
1518C4⋊C4—1221no—
1519C4⋊C4—1221no—
1520C4⋊C4—1221no—
1521C4⋊C4—1221no—
1522C4⋊C4D4×D6111yescharacteristic
1523C4⋊C4C23×D6111yescharacteristic
1524C4⋊C4C23×D6111yescharacteristic
1525C4⋊C4C23×D6111yescharacteristic
1526C4⋊C4C23×D6111yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—611no—
1535C22⋊C4—611no—
1536C22⋊C4—611no—
1537C22⋊C4—611no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4—1221no—
1552C22⋊C4—1221no—
1553C22⋊C4—1221no—
1554C22⋊C4—1221no—
1555C22⋊C4—1221no—
1556C22⋊C4—1221no—
1557C22⋊C4—1221no—
1558C22⋊C4—1221no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4D4×D6111yescharacteristic
1573C22⋊C4D4×D6111yescharacteristic
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—611no—
1578C42—611no—
1579C42—611no—
1580C42—611no—
1581C42—611no—
1582C42—611no—
1583C42—611no—
1584C42—611no—
1585C42—611no—
1586C42—1221no—
1587C42—1221no—
1588C42—1221no—
1589C42—1221no—
1590C42—1221no—
1591C42—1221no—
1592C42C23×D6111yescharacteristic
1593C23—21no—
1594C23—611no—
1595C23—1221no—
1596C23—1221no—
1597C23—1221no—
1598C23—1221no—
1599C23—4881no—
1600C23—4881no—
1601C23—4881no—
1602C23—4881no—
1603C23—4881no—
1604C23—2442no—
1605C23—2442no—
1606C23—2442no—
1607C23—2442no—
1608C23C2×D4×D6111yescharacteristic
1609C23C2×D4×D6111yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—81no—
1617Q8—1222no—
1618Q8—1221no—
1619Q8—1221no—
1620Q8—1221no—
1621Q8—1221no—
1622Q8—4881no—
1623Q8—4881no—
1624D4—21no—
1625D4—21no—
1626D4—41no—
1627D4—42no—
1628D4—81no—
1629D4—612no—
1630D4—1222no—
1631D4—1221no—
1632D4—1221no—
1633D4—1221no—
1634D4—1221no—
1635D4—1221no—
1636D4—1221no—
1637D4—1221no—
1638D4—4881no—
1639D4—4881no—
1640D4—4881no—
1641D4—4881no—
1642D4—4881no—
1643D4—4881no—
1644D4—4881no—
1645D4—2442no—
1646D4—2442no—
1647D4—2442no—
1648D4—2442no—
1649D4—2441no—
1650D4—2442no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—42no—
1663C2×C4—81no—
1664C2×C4—81no—
1665C2×C4—611no—
1666C2×C4—611no—
1667C2×C4—611no—
1668C2×C4—611no—
1669C2×C4—611no—
1670C2×C4—611no—
1671C2×C4—611no—
1672C2×C4—1222no—
1673C2×C4—1221no—
1674C2×C4—1221no—
1675C2×C4—1221no—
1676C2×C4—1221no—
1677C2×C4—1221no—
1678C2×C4—1221no—
1679C2×C4—4881no—
1680C2×C4—4881no—
1681C2×C4—4881no—
1682C2×C4—4881no—
1683C2×C4—4881no—
1684C2×C4—4881no—
1685C2×C4—2441no—
1686C2×C4—2441no—
1687C2×C4—2442no—
1688C2×C4—2442no—
1689C2×C4—2442no—
1690C2×C4—2442no—
1691C2×C4—2442no—
1692C2×C4—2442no—
1693C2×C4—2442no—
1694C2×C4—2441no—
1695C2×C4—2441no—
1696C2×C4—2441no—
1697C2×C4C2×D4×D6111yescharacteristic
1698C2×C4C2×D4×D6111yescharacteristic
1699C2×C4C2×D4×D6111yescharacteristic
1700C2×C4C2×D4×D6111yescharacteristic
1701C2×C4C24×D6111yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1221no—
1707C8—1221no—
1708C8—1221no—
1709C8—1221no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—1221no—
1720C22—1222no—
1721C22—1221no—
1722C22—1221no—
1723C22—9762no—
1724C22—9762no—
1725C22—4884no—
1726C22—2441no—
1727C22—2441no—
1728C22—2441no—
1729C22—2441no—
1730C22—2441no—
1731C22—2441no—
1732C22—2441no—
1733C22—2441no—
1734C22—2441no—
1735C22—2441no—
1736C22—2441no—
1737C22C22×D4×D6111yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—612no—
1750C4—1221no—
1751C4—1221no—
1752C4—1221no—
1753C4—1221no—
1754C4—1221no—
1755C4—1221no—
1756C4—2441no—
1757C4—2441no—
1758C4—2441no—
1759C4—2441no—
1760C4H(5,𝔽2)×D6111yescharacteristic
1761C4#1684059811yescharacteristic
1762C2—41no—
1763C2—41no—
1764C2—81no—
1765C2—4881no—
1766C2—4881no—
1767C2—4881no—
1768C2—2441no—
1769C2—2442no—
1770C2#2145948211yescharacteristic
1771C2#575×D6111yescharacteristic
1772C2#2146058911yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3327C2
socleC22×C61C23×D4
hypercenter#3327D61
hypocenterC61#62004
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3327

Complements

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

NH ≅ G/Ntype
1. #21459773C2semidirect
2. #21459384C2semidirect
3. #21458810C2semidirect
4. #21458807C2semidirect
5. #21458476C2semidirect
6. #21458471C2semidirect
7. #21458109C2semidirect
8. #21458090C2semidirect
9. #21458059C2semidirect
10. #21458036C2semidirect
11. #21458029C2semidirect
12. #21457458C2semidirect
13. #21457451C2semidirect
14. #21457447C2semidirect
15. #21457431C2semidirect
16. #21457423C2semidirect
17. #21457416C2semidirect
18. #21457222C2semidirect
19. #21457216C2semidirect
20. #21457187C2semidirect
21. #21456789C2semidirect
22. #21456785C2semidirect
23. #21456773C2semidirect
24. #21455869C2semidirect
25. #21455843C2semidirect
26. #21455832C2semidirect
27. #21455316C2semidirect
28. #21455310C2semidirect
29. #21455282C2semidirect
30. #21454947C2semidirect
31. C61×#3327C2semidirect
32. C2×#14519809C22semidirect
33. C2×#14519808C22semidirect
35. C2×#14519805C22semidirect
37. C2×#14519802C22semidirect
38. #16840494C22semidirect
39. #16840484C22semidirect
40. #16840484C22semidirect
43. #16840468C22semidirect
45. #16840447C22semidirect
51. Q8×C22⋊D61C22semidirect
55. #16840408C22semidirect
56. #16840403C22semidirect
59. #16840396C22semidirect
63. #16840314C22semidirect
65. #16840299C22semidirect
67. #16840298C22semidirect
69. #16840297C22semidirect
71. #16840293C22semidirect
72. C2×#14519766C22semidirect
73. #124×D61C22semidirect
76. C4×#11758226C22semidirect
77. #16840230C22semidirect
79. C2×#14519739C22semidirect
82. #16840147C22semidirect
84. #16840144C22semidirect
85. #16840140C22semidirect
86. #16840133C22semidirect
87. #16840119C22semidirect
88. #16840118C22semidirect
89. #16840118C22semidirect
90. #16840111C22semidirect
91. #16840107C22semidirect
92. #16840103C22semidirect
93. #16840102C22semidirect
94. #16840089C22semidirect
96. #16840072C22semidirect
97. #16840071C22semidirect
98. #16840068C22semidirect
99. #16840065C22semidirect
100. #16840065C22semidirect
101. #16840060C22semidirect
102. #16840059C22semidirect
103. #16840055C22semidirect
104. #16840051C22semidirect
105. #16840019C22semidirect
106. #16840018C22semidirect
107. #16840018C22semidirect
110. #16840011C22semidirect
112. #16840009C22semidirect
114. #16840008C22semidirect
115. #16839987C22semidirect
116. #16839987C22semidirect
117. #16839987C22semidirect
118. #16839987C22semidirect
119. #16839987C22semidirect
120. #16839986C22semidirect
121. #16839986C22semidirect
122. #16839984C22semidirect
123. #16839984C22semidirect
124. #16839983C22semidirect
125. #16839982C22semidirect
129. #16839980C22semidirect
130. #16839980C22semidirect
131. #16839980C22semidirect
132. #16839979C22semidirect
134. #16839978C22semidirect
135. #16839976C22semidirect
136. #16839976C22semidirect
137. #16839974C22semidirect
138. #16839970C22semidirect
139. #16839966C22semidirect
140. #16839966C22semidirect
141. #16839966C22semidirect
144. #16839926C22semidirect
145. #16839926C22semidirect
146. #16839924C22semidirect
147. #16839923C22semidirect
148. #16839922C22semidirect
149. #16839919C22semidirect
150. #16839914C22semidirect
151. #16839912C22semidirect
152. #16839912C22semidirect
155. #16839902C22semidirect
156. #16839901C22semidirect
160. C8×Dic122C22semidirect
161. #16839886C22semidirect
162. #16839856C22semidirect
163. #16839853C22semidirect
164. C4×#11758201C22semidirect
165. C4×#11758201C22semidirect
166. #16839849C22semidirect
167. #16839847C22semidirect
168. #16839847C22semidirect
169. C4×D488C22semidirect
172. #16839842C22semidirect
173. #16839840C22semidirect
174. #16839838C22semidirect
175. #16839838C22semidirect
176. #16839837C22semidirect
177. #16839837C22semidirect
178. #16839813C22semidirect
179. #16839812C22semidirect
180. #16839812C22semidirect
181. #16839785C22semidirect
182. #16839785C22semidirect
183. #16839784C22semidirect
184. #16839769C22semidirect
185. #16839766C22semidirect
186. #16839765C22semidirect
187. #16839761C22semidirect
188. C61×#552C22semidirect
190. C61×#488C22semidirect
191. C61×#484C22semidirect
192. C61×#482C22semidirect
193. C61×#479C22semidirect
194. C61×#470C22semidirect
195. C61×#468C22semidirect
196. C61×#464C22semidirect
197. C61×#452C22semidirect
198. C61×#451C22semidirect
199. C4×Q16×C61C22semidirect
200. C61×#436C22semidirect
201. C61×#419C22semidirect
202. C61×#417C22semidirect
884. #3327D61semidirect
933. #552C2×D61semidirect
978. #488C2×D61semidirect
983. #484C2×D61semidirect
985. #482C2×D61semidirect
990. #479C2×D61semidirect
1000. #470C2×D61semidirect
1008. #468C2×D61semidirect
1020. #464C2×D61semidirect
1044. #452C2×D61semidirect
1046. #451C2×D61semidirect
1060. C4×Q16C2×D61semidirect
1076. #436C2×D61semidirect
1084. #419C2×D61semidirect
1088. #417C2×D61semidirect
1089. C61#62004semidirect

Maximal subgroups

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

subgroupindex
#214597732
#214593842
#214588102
#214588072
#214584762
#214584712
#214581092
#214580902
#214580592
#214580362
#214580292
#214574582
#214574512
#214574472
#214574312
#214574232
#214574162
#214572222
#214572162
#214571872
#214567892
#214567852
#214567732
#214558692
#214558432
#214558322
#214553162
#214553102
#214552822
#214549472
C61×#33272
#6200461