Finite Group Databasebeta

← #30573209

Subgroups — #30573209

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#21459768C211yesmaximal, characteristic, complemented
2#21459381C211yesmaximal, characteristic, complemented
3#21458816C211yesmaximal, characteristic, complemented
4#21458807C211yesmaximal, characteristic, complemented
5#21458480C211yesmaximal, characteristic, complemented
6#21458469C211yesmaximal, characteristic, complemented
7#21458111C211yesmaximal, characteristic, complemented
8#21458092C211yesmaximal, characteristic, complemented
9#21458085C211yesmaximal, characteristic, complemented
10#21458059C211yesmaximal, characteristic, complemented
11#21458040C211yesmaximal, characteristic, complemented
12#21458033C211yesmaximal, characteristic, complemented
13#21457463C211yesmaximal, characteristic, complemented
14#21457452C211yesmaximal, characteristic, complemented
15#21457448C211yesmaximal, characteristic, complemented
16#21457429C211yesmaximal, characteristic, complemented
17#21457423C211yesmaximal, characteristic, complemented
18#21457412C211yesmaximal, characteristic, complemented
19#21457222C211yesmaximal, characteristic, complemented
20#21457215C211yesmaximal, characteristic, complemented
21#21457191C211yesmaximal, characteristic, complemented
22#21456788C211yesmaximal, characteristic, complemented
23#21456786C211yesmaximal, characteristic, complemented
24#21456774C211yesmaximal, characteristic, complemented
25#21455871C211yesmaximal, characteristic, complemented
26#21455842C211yesmaximal, characteristic, complemented
27#21455313C211yesmaximal, characteristic, complemented
28#21455308C211yesmaximal, characteristic, complemented
29#21455281C211yesmaximal, characteristic, complemented
30#21454948C211yesmaximal, characteristic, complemented
31C61×#3102C211yesmaximal, characteristic, complemented
32C2×#14519807C2211yescharacteristic, complemented
33C2×#14519806C2211yescharacteristic, complemented
34C2×#14519804C2211yescharacteristic, complemented
35C2×#14519802C2211yescharacteristic
36C2×#14519801C2211yescharacteristic
37C2×#14519801C2211yescharacteristic, complemented
38#16840495C2211yescharacteristic, complemented
39#16840484C2211yescharacteristic, complemented
40#16840484C2211yescharacteristic, complemented
41#16840475—21no—
42#16840475C2211yescharacteristic
43#16840471C2211yescharacteristic, complemented
44#16840461—21no—
45#16840453C2211yescharacteristic, complemented
46#16840451C2211yescharacteristic, complemented
47#16840445—21no—
48#16840441—21no—
49#16840436—21no—
50#16840436—21no—
51#16840435—21no—
52#16840425C2211yescharacteristic, complemented
53#16840424C2211yescharacteristic
54#16840418C2211yescharacteristic
55#16840411C2211yescharacteristic
56#16840407C2211yescharacteristic
57#16840407C2211yescharacteristic, complemented
58#16840404—21no—
59#16840403C2211yescharacteristic
60#16840400C2211yescharacteristic, complemented
61#16840396C2211yescharacteristic, complemented
62#16840378—21no—
63#16840351—21no—
64#16840345—21no—
65#16840316C2211yescharacteristic, complemented
66#16840311C2211yescharacteristic
67#16840299C2211yescharacteristic, complemented
68#16840297C2211yescharacteristic
69#16840297C2211yescharacteristic, complemented
70#16840296—21no—
71#16840296C2211yescharacteristic, complemented
72#16840292—21no—
73C2×#14519765C2211yescharacteristic, complemented
74#124×D61C2211yescharacteristic, complemented
75#16840271—21no—
76#16840234—21no—
77C4×#11758222C2211yescharacteristic
78C4×#11758224C2211yescharacteristic, complemented
79C4×D4×D61C2211yescharacteristic, complemented
80C2×#14519734—21no—
81#16840147C2211yescharacteristic
82#16840146C2211yescharacteristic
83#16840146C2211yescharacteristic, complemented
84#16840143C2211yescharacteristic, complemented
85#16840140C2211yescharacteristic, complemented
86#16840133C2211yescharacteristic, complemented
87#16840118C2211yescharacteristic, complemented
88#16840117C2211yescharacteristic, complemented
89#16840117C2211yescharacteristic, complemented
90#16840115C2211yescharacteristic, complemented
91#16840111C2211yescharacteristic, complemented
92#16840107C2211yescharacteristic, complemented
93#16840106C2211yescharacteristic, complemented
94#16840099C2211yescharacteristic, complemented
95#16840089C2211yescharacteristic, complemented
96#16840082C2211yescharacteristic
97#16840072C2211yescharacteristic, complemented
98#16840069C2211yescharacteristic, complemented
99#16840066C2211yescharacteristic, complemented
100#16840065C2211yescharacteristic, complemented
101#16840062C2211yescharacteristic, complemented
102#16840059C2211yescharacteristic, complemented
103#16840056C2211yescharacteristic, complemented
104#16840051C2211yescharacteristic, complemented
105#16840021C2211yescharacteristic, complemented
106#16840019C2211yescharacteristic, complemented
107#16840019C2211yescharacteristic, complemented
108#16840018C2211yescharacteristic, complemented
109#16840016C2211yescharacteristic
110#16840013C2211yescharacteristic
111#16840011C2211yescharacteristic
112#16840011C2211yescharacteristic, complemented
113#16840010C2211yescharacteristic, complemented
114#16840009C2211yescharacteristic
115#16840009C2211yescharacteristic, complemented
116#16840006C2211yescharacteristic, complemented
117#16839987C2211yescharacteristic, complemented
118#16839987C2211yescharacteristic, complemented
119#16839985C2211yescharacteristic, complemented
120#16839985C2211yescharacteristic, complemented
121#16839984C2211yescharacteristic, complemented
122#16839984C2211yescharacteristic, complemented
123#16839984C2211yescharacteristic, complemented
124#16839984C2211yescharacteristic, complemented
125#16839984C2211yescharacteristic, complemented
126#16839983C2211yescharacteristic, complemented
127#16839981C2211yescharacteristic, complemented
128#16839980C2211yescharacteristic, complemented
129#16839979C2211yescharacteristic
130#16839978C2211yescharacteristic
131#16839978C2211yescharacteristic, complemented
132#16839977C2211yescharacteristic
133#16839977C2211yescharacteristic
134#16839977C2211yescharacteristic, complemented
135#16839977C2211yescharacteristic, complemented
136#16839977C2211yescharacteristic, complemented
137#16839975C2211yescharacteristic, complemented
138#16839974C2211yescharacteristic, complemented
139#16839971C2211yescharacteristic, complemented
140#16839966C2211yescharacteristic, complemented
141#16839966C2211yescharacteristic, complemented
142#16839965C2211yescharacteristic, complemented
143#16839956C2211yescharacteristic
144#16839955C2211yescharacteristic
145#16839927C2211yescharacteristic, complemented
146#16839925C2211yescharacteristic, complemented
147#16839925C2211yescharacteristic, complemented
148#16839923C2211yescharacteristic, complemented
149#16839921C2211yescharacteristic, complemented
150#16839920C2211yescharacteristic, complemented
151#16839916C2211yescharacteristic, complemented
152#16839915C2211yescharacteristic, complemented
153#16839914C2211yescharacteristic, complemented
154#16839911C2211yescharacteristic, complemented
155#16839908C2211yescharacteristic
156#16839903C2211yescharacteristic, complemented
157#16839902C2211yescharacteristic, complemented
158#16839898C2211yescharacteristic
159#16839897C2211yescharacteristic
160#16839897C2211yescharacteristic
161C8×Dic122C2211yescharacteristic, complemented
162C8×Dic122C2211yescharacteristic, complemented
163#16839856C2211yescharacteristic, complemented
164#16839853C2211yescharacteristic, complemented
165#16839853C2211yescharacteristic, complemented
166#16839849C2211yescharacteristic, complemented
167#16839849C2211yescharacteristic, complemented
168#16839844C2211yescharacteristic
169#16839842C2211yescharacteristic
170#16839842C2211yescharacteristic, complemented
171#16839841C2211yescharacteristic, complemented
172#16839841C2211yescharacteristic, complemented
173#16839837C2211yescharacteristic, complemented
174#16839837C2211yescharacteristic, complemented
175#16839837C2211yescharacteristic, complemented
176#16839837C2211yescharacteristic, complemented
177#16839814C2211yescharacteristic, complemented
178#16839814C2211yescharacteristic, complemented
179#16839786C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic, complemented
181#16839784C2211yescharacteristic, complemented
182#16839770C2211yescharacteristic, complemented
183#16839769C2211yescharacteristic, complemented
184#16839766C2211yescharacteristic, complemented
185#16839765C2211yescharacteristic, complemented
186#16839762C2211yescharacteristic, complemented
187#16839760C2211yescharacteristic, complemented
188C61×#529C2211yescharacteristic, complemented
189C4×#41×C61C2211yescharacteristic, complemented
190C61×#485C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#479C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#464C2211yescharacteristic, complemented
195C61×#463C2211yescharacteristic, complemented
196C61×#452C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic
198C4×Q16×C61C2211yescharacteristic, complemented
199C4×SD16×C61C2211yescharacteristic, complemented
200C4×SD16×C61C2211yescharacteristic, complemented
201C4×D8×C61C2211yescharacteristic, complemented
202C61×#431C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222D411yescharacteristic
205C2×#11758224C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C22×Dic122C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C22×D244C2311yescharacteristic
210C2×D4×D61—21no—
211C2×D4×D61C2311yescharacteristic
212C2×D4×D61C2311yescharacteristic
213C22×C4×D61—21no—
214#14519807—42no—
215#14519806—42no—
216#14519804—42no—
217#14519802—42no—
218#14519801—42no—
219#14519801—42no—
220C2×Dic244C2311yescharacteristic
221C2×Dic244C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223C2×#11758202C2311yescharacteristic
224C2×#11758202C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758190C2311yescharacteristic
228C2×#11758190C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758200C2311yescharacteristic
232C2×#11758201C2311yescharacteristic
233C2×#11758201C2311yescharacteristic
234C2×#11758201C2311yescharacteristic
235C2×D488C2311yescharacteristic
236C2×D488C2311yescharacteristic
237C2×#11758199C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239C2×#11758199C2311yescharacteristic
240C2×#11758194C2311yescharacteristic
241C2×#11758194C2311yescharacteristic
242C2×#11758189C2311yescharacteristic
243C2×#11758189C2311yescharacteristic
244C2×#11758189C2311yescharacteristic
245C2×#11758189C2311yescharacteristic
246#14519776—21no—
247#14519776C2311yescharacteristic
248#14519775C2311yescharacteristic
249#14519775C2311yescharacteristic
250#14519773C2311yescharacteristic
251#14519772—21no—
252#14519772—21no—
253#14519772—21no—
254#14519772—21no—
255#14519772—21no—
256#14519771—21no—
257#14519771—21no—
258#14519771—21no—
259#14519771—21no—
260#14519770—21no—
261#14519769—21no—
262#14519769C2311yescharacteristic
263#14519768C2311yescharacteristic
264#14519767—21no—
265#14519767—21no—
266#14519766C2311yescharacteristic
267#14519766C2311yescharacteristic
268#14519765—21no—
269#14519765—21no—
270#14519765—21no—
271#14519765—21no—
272#14519765C2311yescharacteristic
273#14519765C2311yescharacteristic
274#14519765C2311yescharacteristic
275#14519765C2311yescharacteristic
276#14519765C2311yescharacteristic
277#14519764C2311yescharacteristic
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519762—21no—
284#14519762—21no—
285#14519762—21no—
286#14519762—21no—
287#14519762—21no—
288#14519761—21no—
289#14519761—21no—
290#14519760—21no—
291#14519760—21no—
292#14519760—21no—
293#14519760—21no—
294#14519759—21no—
295#14519759—21no—
296#14519758—21no—
297#14519757—21no—
298#14519757C2311yescharacteristic
299#14519757C2311yescharacteristic
300#14519757C2311yescharacteristic
301#14519756—21no—
302#14519756C2311yescharacteristic
303#14519755—21no—
304#14519755—21no—
305#14519755—21no—
306#14519755—21no—
307#14519754—21no—
308#14519754—21no—
309#14519754—21no—
310#14519754—21no—
311#14519753C2311yescharacteristic
312#14519753C2311yescharacteristic
313#14519752—21no—
314#14519752—21no—
315#14519752C2311yescharacteristic
316#14519752C2311yescharacteristic
317#14519752C2311yescharacteristic
318#14519751—21no—
319#14519751—21no—
320#14519751C2311yescharacteristic
321#14519750—21no—
322#14519750—21no—
323#14519750—21no—
324#14519750—21no—
325#14519749—21no—
326#14519749—21no—
327#14519749—21no—
328#14519747—21no—
329#14519747—21no—
330#14519747—21no—
331#14519747—21no—
332#14519745—21no—
333#14519745—21no—
334C4×Dic122—21no—
335C4×Dic122D411yescharacteristic
336C4×Dic122C2311yescharacteristic
337C4×Dic122C2311yescharacteristic
338#14519742C2311yescharacteristic
339#14519742C2311yescharacteristic
340#14519742C2311yescharacteristic
341C4×D244—21no—
342C4×D244—21no—
343C4×D244D411yescharacteristic
344C4×D244C2311yescharacteristic
345C4×D244C2311yescharacteristic
346D4×Dic61—21no—
347D4×Dic61C2311yescharacteristic
348D4×Dic61C2311yescharacteristic
349#14519739—21no—
350#14519739—21no—
351#14519739C2311yescharacteristic
352#14519739C2311yescharacteristic
353#14519739C2311yescharacteristic
354C4×C22⋊D61—21no—
355C4×C22⋊D61—21no—
356C4×C22⋊D61—21no—
357C4×C22⋊D61—21no—
358C4×C22⋊D61D411yescharacteristic
359C4×C22⋊D61D411yescharacteristic
360C4×C22⋊D61C2311yescharacteristic
361C4×C22⋊D61C2311yescharacteristic
362#14519737—21no—
363#14519737—21no—
364#14519737—21no—
365#14519737—21no—
366#14519737—21no—
367#14519736D411yescharacteristic
368#14519735—21no—
369#14519735—21no—
370#14519735C2311yescharacteristic
371#14519734—21no—
372#14519734—21no—
373#14519734—21no—
374#14519734—21no—
375#14519734—21no—
376#14519734—21no—
377#14519734—21no—
378#14519734—21no—
379#14519734D411yescharacteristic
380#14519734D411yescharacteristic
381#14519733—21no—
382C2×#11758196—21no—
383C2×#11758196—21no—
384C4⋊C4×D61C2311yescharacteristic
385C2×#11758198—21no—
386C2×#11758198—21no—
387C2×#11758198—21no—
388C2×#11758198—21no—
389C2×#11758198—21no—
390C22⋊C4×D61—21no—
391C22⋊C4×D61—21no—
392C22⋊C4×D61—21no—
393C22⋊C4×D61—21no—
394C2×C4×Dic61—21no—
395C42×D61C2311yescharacteristic
396C42×D61C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403C4⋊#92418C2311yescharacteristic
404C4⋊#92418C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C2×Q16×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×D8×C61C2311yescharacteristic
446#126×C61—21no—
447#125×C61C2311yescharacteristic
448#124×C61C2311yescharacteristic
449#123×C61—21no—
450C22⋊Q8×C61C2311yescharacteristic
451#121×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×Q8×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×D4×C61—21no—
456C4×D4×C61—21no—
457C4×D4×C61—21no—
458C4×D4×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461#117×C61—21no—
462#117×C61—21no—
463#117×C61C2311yescharacteristic
464C2×C42×C61—21no—
465C2×C42×C61C2311yescharacteristic
466#107×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480C22⋊C8×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C4×C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485C23×D61—21no—
486C23×D61—21no—
487#41×C61—22no—
488#41×C61—41no—
489C2×Q8×C61C2411yescharacteristic
490C2×Q8×C61C2411yescharacteristic
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61C2411yescharacteristic
494C2×D4×C61C2411yescharacteristic
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C22×C4×C61—21no—
499C22×C4×C61C2×D411yescharacteristic
500C22×C4×C61C2×D411yescharacteristic
501C22×C4×C61C2411yescharacteristic
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61C2×D411yescharacteristic
510C2×C22⋊D61C2×D411yescharacteristic
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61—21no—
516#11758226—41no—
517#11758226—41no—
518Q8×D61—41no—
519Q8×D61—41no—
520#11758224—22no—
521#11758224—41no—
522#11758224—41no—
523#11758224—41no—
524D4×D61—22no—
525D4×D61—41no—
526D4×D61—41no—
527D4×D61—41no—
528D4×D61—44no—
529#11758222—42no—
530C2×D244—21no—
531C2×D244—21no—
532C2×D244—21no—
533C2×D244—21no—
534C2×D244—21no—
535C2×D244—41no—
536C2×D244—41no—
537C2×D244C2×D411yescharacteristic
538C2×D244C2411yescharacteristic
539C2×D244C2411yescharacteristic
540C2×D244C2411yescharacteristic
541C2×C4×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61—21no—
546C2×C4×D61—21no—
547C2×C4×D61—21no—
548C2×C4×D61—44no—
549C2×C4×D61C2×D411yescharacteristic
550C2×C4×D61C2×D411yescharacteristic
551C2×C4×D61C2×D411yescharacteristic
552C2×C4×D61C2×D411yescharacteristic
553C2×C4×D61C2411yescharacteristic
554C2×C4×D61C2411yescharacteristic
555C2×Dic122—21no—
556C2×Dic122—21no—
557C2×Dic122—21no—
558C2×Dic122—41no—
559C2×Dic122—41no—
560C2×Dic122C2×D411yescharacteristic
561C2×Dic122C2411yescharacteristic
562C2×Dic122C2411yescharacteristic
563C2×Dic122C2411yescharacteristic
564Q16×C61—41no—
565SD16×C61—22no—
566SD16×C61—41no—
567D8×C61—22no—
568C2×C8×C61C2411yescharacteristic
569C2×C8×C61C2411yescharacteristic
570C2×C8×C61C2411yescharacteristic
571C2×C8×C61C2411yescharacteristic
572C4⋊C4×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61—21no—
576C4⋊C4×C61—21no—
577C4⋊C4×C61—21no—
578C4⋊C4×C61C2411yescharacteristic
579C4⋊C4×C61C2411yescharacteristic
580C4⋊C4×C61C2411yescharacteristic
581C4⋊C4×C61C2411yescharacteristic
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C22⋊C4×C61—21no—
586C22⋊C4×C61—21no—
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C42×C61—21no—
591C42×C61—21no—
592C42×C61—21no—
593C42×C61—21no—
594C42×C61C2×D411yescharacteristic
595C42×C61C2×D411yescharacteristic
596C42×C61C2411yescharacteristic
597C42×C61C2411yescharacteristic
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603C22⋊Dic61C2×D411yescharacteristic
604C22⋊Dic61C2×D411yescharacteristic
605#11758202—41no—
606#11758202—41no—
607#11758202—41no—
608#11758201—41no—
609#11758201—41no—
610#11758201—41no—
611#11758200—22no—
612#11758200—22no—
613#11758200—41no—
614#11758199—22no—
615#11758199—22no—
616#11758199—41no—
617#11758198—21no—
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#11758198C2×D411yescharacteristic
646#11758198C2×D411yescharacteristic
647#11758198C2×D411yescharacteristic
648#11758198C2×D411yescharacteristic
649C4⋊Dic61—21no—
650C4⋊Dic61—21no—
651C4⋊Dic61—21no—
652C4⋊Dic61—21no—
653C4⋊Dic61C2×D411yescharacteristic
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#11758196—21no—
671#11758196—21no—
672#11758196—21no—
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
676#11758196C2×D411yescharacteristic
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61C2×D411yescharacteristic
683C4×Dic61C2×D411yescharacteristic
684C4×Dic61C2×D411yescharacteristic
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2411yescharacteristic
687C4×Dic61C2411yescharacteristic
688#11758194—41no—
689#11758194—41no—
690C2×#92418C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694Dic244—41no—
695Dic244—41no—
696D488—41no—
697D488—41no—
698#11758190—41no—
699#11758190—41no—
700#11758190—41no—
701#11758190—41no—
702#11758189—41no—
703#11758189—41no—
704#11758189—41no—
705#11758189—41no—
706C23×C61—21no—
707C23×C61—21no—
708C23×C61C22×D411yescharacteristic
709C22×D61—21no—
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—42no—
713C22×D61—42no—
714C22×D61—42no—
715C22×D61—42no—
716C22×D61—81no—
717C22×D61—81no—
718C22×D61—81no—
719C22×D61—81no—
720C22×D61—81no—
721C22×D61C22×D411yescharacteristic
722C22×D61C22×D411yescharacteristic
723Q8×C61—21no—
724Q8×C61—21no—
725Q8×C61—21no—
726Q8×C61—21no—
727D4×C61—21no—
728D4×C61—21no—
729D4×C61—21no—
730D4×C61—42no—
731D4×C61—42no—
732D4×C61H(5,𝔽2)12yes—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
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—41no—
742C2×C4×C61—41no—
743C2×C4×C61—42no—
744C2×C4×C61—42no—
745C2×C4×C61—81no—
746C2×C4×C61—81no—
747C2×C4×C61C22×D411yescharacteristic
748C2×C4×C61C22×D411yescharacteristic
749C2×C4×C61C22×D411yescharacteristic
750C2×C4×C61C22×D411yescharacteristic
751C2×C4×C61C22×D411yescharacteristic
752C2×C4×C61C2511yescharacteristic
753C22⋊D61—22no—
754C22⋊D61—41no—
755C22⋊D61—42no—
756C22⋊D61—42no—
757C22⋊D61—42no—
758C22⋊D61—81no—
759C22⋊D61—81no—
760C22⋊D61—81no—
761C22⋊D61—81no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—42no—
768C2×Dic61—42no—
769C2×Dic61—81no—
770C2×Dic61—81no—
771C2×Dic61—81no—
772C2×Dic61C22×D411yescharacteristic
773C2×Dic61C22×D411yescharacteristic
774C2×Dic61C22×D411yescharacteristic
775C2×Dic61C22×D411yescharacteristic
776C2×Dic61C22×D411yescharacteristic
777C2×Dic61C22×D411yescharacteristic
778D244—21no—
779D244—21no—
780D244—21no—
781D244—21no—
782D244—21no—
783D244—21no—
784D244—41no—
785D244—42no—
786D244—81no—
787D244—81no—
788D244—81no—
789D244—81no—
790C4×D61—21no—
791C4×D61—21no—
792C4×D61—21no—
793C4×D61—21no—
794C4×D61—22no—
795C4×D61—41no—
796C4×D61—41no—
797C4×D61—41no—
798C4×D61—42no—
799C4×D61—42no—
800C4×D61—42no—
801C4×D61—42no—
802C4×D61—81no—
803C4×D61—81no—
804C4×D61—81no—
805Dic122—22no—
806Dic122—21no—
807Dic122—21no—
808Dic122—21no—
809Dic122—21no—
810Dic122—21no—
811Dic122—21no—
812Dic122—81no—
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—22no—
826C22×C61—21no—
827C22×C61—21no—
828C22×C61—41no—
829C22×C61—41no—
830C22×C61—41no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61C23×D411yescharacteristic
834C2×D61—21no—
835C2×D61—21no—
836C2×D61—21no—
837C2×D61—21no—
838C2×D61—21no—
839C2×D61—21no—
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—21no—
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—41no—
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#3327—611no—
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#3102D6111yescharacteristic, complemented
903#3040—611no—
904#3040—611no—
905#3036—611no—
906#2991—611no—
907C2×C61—42no—
908C2×C61—41no—
909C2×C61—81no—
910C2×C61#348811yescharacteristic
911C2×C61C2×#57511yescharacteristic
912C2×C61#358411yescharacteristic
913D61—41no—
914D61—41no—
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—611no—
933#552—1221no—
934#551—1221no—
935#551—1221no—
936#551—1221no—
937#551—1221no—
938D4×Q8—611no—
939#548—611no—
940#548—611no—
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—1221no—
958#529—1221no—
959#529C2×D6111yescharacteristic, complemented
960C2×#124—611no—
961C2×#124—611no—
962#525—1221no—
963#518—1221no—
964C4×#41—611no—
965C4×#41—611no—
966C4×#41C2×D6111yescharacteristic, complemented
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#488—611no—
979#487—611no—
980#486—611no—
981#485—611no—
982#485C2×D6111yescharacteristic, complemented
983#484—611no—
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#478C2×D6111yescharacteristic, complemented
995#477—611no—
996#476—611no—
997#470—611no—
998#470—611no—
999#470—611no—
1000#470—611no—
1001#469—611no—
1002#469—611no—
1003#468—611no—
1004#468—611no—
1005#468—611no—
1006#468—611no—
1007#468—611no—
1008#468—611no—
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#463C2×D6111yescharacteristic, complemented
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#451—611no—
1047#450—611no—
1048#450—611no—
1049#450—611no—
1050#449—611no—
1051#449C2×D6111yescharacteristic
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×SD16C2×D6111yescharacteristic, complemented
1066C4×SD16C2×D6111yescharacteristic, complemented
1067C4×D8—611no—
1068C4×D8—611no—
1069C4×D8—611no—
1070C4×D8C2×D6111yescharacteristic, complemented
1071#436—611no—
1072#436—611no—
1073#436—611no—
1074#436—611no—
1075#436—611no—
1076#436—611no—
1077#431—611no—
1078#431—611no—
1079#431C2×D6111yescharacteristic, complemented
1080#423—611no—
1081#423—611no—
1082#423—611no—
1083#419—611no—
1084#419—611no—
1085#418—611no—
1086#418—611no—
1087#417—611no—
1088#417—611no—
1089C61#6200411yescharacteristic, complemented, Sylow
1090C2×#41—611no—
1091C2×#41—611no—
1092C2×#41—611no—
1093C2×#41—611no—
1094C2×#41C22×D6111yescharacteristic
1095C22×Q8—611no—
1096C22×Q8—611no—
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×Q16—611no—
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×SD16C22×D6111yescharacteristic
1125C2×SD16C22×D6111yescharacteristic
1126C2×D8—611no—
1127C2×D8—611no—
1128C2×D8—611no—
1129C2×D8—611no—
1130C2×D8—611no—
1131C2×D8C22×D6111yescharacteristic
1132C2×M16—611no—
1133C2×M16—611no—
1134C2×M16—611no—
1135C2×M16—611no—
1136C2×M16—611no—
1137C2×M16—611no—
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—611no—
1155#125—611no—
1156#125—1221no—
1157#125—1221no—
1158#125—1221no—
1159#125C22×D6111yescharacteristic
1160#124—611no—
1161#124—611no—
1162#124—611no—
1163#124—611no—
1164#124—611no—
1165#124—611no—
1166#124—611no—
1167#124—611no—
1168#124—1221no—
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—611no—
1194C22⋊Q8—611no—
1195C22⋊Q8—611no—
1196C22⋊Q8—611no—
1197C22⋊Q8—611no—
1198C22⋊Q8—611no—
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⋊Q8—1221no—
1208C22⋊Q8—1221no—
1209C22⋊Q8C22×D6111yescharacteristic
1210#121—611no—
1211#121—611no—
1212#121—611no—
1213#121—611no—
1214#121—1221no—
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—1221no—
1239C4×Q8C22×D6111yescharacteristic
1240C4×Q8C22×D6111yescharacteristic
1241C4×Q8C22×D6111yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—21no—
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×D4C22×D6111yescharacteristic
1272C4×D4C22×D6111yescharacteristic
1273C4×D4C22×D6111yescharacteristic
1274#117—21no—
1275#117—21no—
1276#117—611no—
1277#117—611no—
1278#117—611no—
1279#117—611no—
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—611no—
1293C2×C4⋊C4—1221no—
1294C2×C4⋊C4—1221no—
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—21no—
1305C2×C42—611no—
1306C2×C42—611no—
1307C2×C42—1221no—
1308C2×C42C22×D6111yescharacteristic
1309#107—611no—
1310#107—611no—
1311#107C22×D6111yescharacteristic
1312#107C22×D6111yescharacteristic
1313#106—611no—
1314#106—611no—
1315#106C22×D6111yescharacteristic
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⋊C8C22×D6111yescharacteristic
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#103—611no—
1337#103—611no—
1338#103—611no—
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#102C22×D6111yescharacteristic
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×C8C22×D6111yescharacteristic
1370C4×C8C22×D6111yescharacteristic
1371C24—1221no—
1372C24—1221no—
1373C24—1221no—
1374#41—22no—
1375#41—41no—
1376#41—1222no—
1377#41—2442no—
1378#41—2441no—
1379#41—2441no—
1380#41—2441no—
1381#41—2441no—
1382#41—2441no—
1383C2×Q8—611no—
1384C2×Q8—611no—
1385C2×Q8—611no—
1386C2×Q8—611no—
1387C2×Q8—1221no—
1388C2×Q8—1221no—
1389C2×Q8—1221no—
1390C2×Q8—2441no—
1391C2×Q8—2441no—
1392C2×Q8—2441no—
1393C2×Q8—2441no—
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—1221no—
1405C2×D4—1221no—
1406C2×D4—1221no—
1407C2×D4—1221no—
1408C2×D4—1221no—
1409C2×D4—1221no—
1410C2×D4—1221no—
1411C2×D4—1221no—
1412C2×D4—1222no—
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×D4C23×D6111yescharacteristic
1424C2×D4C23×D6111yescharacteristic
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
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—2444no—
1448C22×C4D4×D6111yescharacteristic
1449C22×C4D4×D6111yescharacteristic
1450C22×C4C23×D6111yescharacteristic
1451Q16—41no—
1452Q16—2441no—
1453Q16—2441no—
1454Q16—2441no—
1455Q16—2441no—
1456Q16—2441no—
1457SD16—22no—
1458SD16—41no—
1459SD16—1222no—
1460SD16—1222no—
1461SD16—2441no—
1462SD16—2441no—
1463SD16—2441no—
1464SD16—2441no—
1465SD16—2441no—
1466SD16—2441no—
1467SD16—2441no—
1468SD16—2441no—
1469D8—22no—
1470D8—1222no—
1471D8—1222no—
1472D8—2441no—
1473D8—2441no—
1474D8—2441no—
1475M16—2441no—
1476M16—2441no—
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—611no—
1496C4⋊C4—611no—
1497C4⋊C4—611no—
1498C4⋊C4—611no—
1499C4⋊C4—611no—
1500C4⋊C4—611no—
1501C4⋊C4—611no—
1502C4⋊C4—611no—
1503C4⋊C4—1221no—
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⋊C4—1221no—
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—21no—
1535C22⋊C4—611no—
1536C22⋊C4—611no—
1537C22⋊C4—611no—
1538C22⋊C4—611no—
1539C22⋊C4—611no—
1540C22⋊C4—611no—
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⋊C4—1221no—
1573C22⋊C4—1221no—
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—611no—
1579C42—611no—
1580C42—611no—
1581C42—611no—
1582C42—611no—
1583C42—611no—
1584C42—1221no—
1585C42—1221no—
1586C42—1221no—
1587C42—1221no—
1588C42—1221no—
1589C42D4×D6111yescharacteristic
1590C42D4×D6111yescharacteristic
1591C42C23×D6111yescharacteristic
1592C42C23×D6111yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—611no—
1596C23—611no—
1597C23—1221no—
1598C23—1221no—
1599C23—1221no—
1600C23—4881no—
1601C23—4881no—
1602C23—4881no—
1603C23—4881no—
1604C23—4881no—
1605C23—2442no—
1606C23—2442no—
1607C23—2442no—
1608C23—2442no—
1609C23C2×D4×D6111yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—1222no—
1615Q8—1221no—
1616Q8—1221no—
1617Q8—1221no—
1618Q8—1221no—
1619Q8—1221no—
1620Q8—1221no—
1621Q8—4881no—
1622Q8—4881no—
1623Q8—4881no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—42no—
1628D4—42no—
1629D4—1222no—
1630D4—1221no—
1631D4—1221no—
1632D4—1221no—
1633D4—1221no—
1634D4—1221no—
1635D4—1221no—
1636D4—4881no—
1637D4—4881no—
1638D4—4881no—
1639D4—4881no—
1640D4—4881no—
1641D4—4881no—
1642D4—4881no—
1643D4—4881no—
1644D4—2441no—
1645D4—2442no—
1646D4—2442no—
1647D4—2441no—
1648D4—2442no—
1649D4—2442no—
1650D4#1451982312yes—
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—41no—
1660C2×C4—41no—
1661C2×C4—42no—
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—1222no—
1672C2×C4—1221no—
1673C2×C4—1221no—
1674C2×C4—1221no—
1675C2×C4—1221no—
1676C2×C4—1221no—
1677C2×C4—1221no—
1678C2×C4—1221no—
1679C2×C4—1221no—
1680C2×C4—1221no—
1681C2×C4—4881no—
1682C2×C4—4881no—
1683C2×C4—4881no—
1684C2×C4—4881no—
1685C2×C4—4881no—
1686C2×C4—4881no—
1687C2×C4—2441no—
1688C2×C4—2441no—
1689C2×C4—2441no—
1690C2×C4—2442no—
1691C2×C4—2442no—
1692C2×C4—2442no—
1693C2×C4—2442no—
1694C2×C4—2442no—
1695C2×C4—2442no—
1696C2×C4C2×D4×D6111yescharacteristic
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—22no—
1712C22—21no—
1713C22—21no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—1221no—
1720C22—1221no—
1721C22—1221no—
1722C22—1221no—
1723C22—1221no—
1724C22—1221no—
1725C22—9762no—
1726C22—9762no—
1727C22—4884no—
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—21no—
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—2441no—
1756C4—2441no—
1757C4—2441no—
1758C4—2441no—
1759C4—2441no—
1760C4C2×#1451982311yescharacteristic
1761C4#1684059811yescharacteristic
1762C2—41no—
1763C2—42no—
1764C2—81no—
1765C2—4881no—
1766C2—4881no—
1767C2—4881no—
1768C2—2441no—
1769C2—2441no—
1770C2#2145948011yescharacteristic
1771C2#575×D6111yescharacteristic
1772C2#2146058811yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3102C2
socleC22×C61C23×D4
hypercenter#3102D61
hypocenterC61#62004
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3102

Complements

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

NH ≅ G/Ntype
1. #21459768C2semidirect
2. #21459381C2semidirect
3. #21458816C2semidirect
4. #21458807C2semidirect
5. #21458480C2semidirect
6. #21458469C2semidirect
7. #21458111C2semidirect
8. #21458092C2semidirect
9. #21458085C2semidirect
10. #21458059C2semidirect
11. #21458040C2semidirect
12. #21458033C2semidirect
13. #21457463C2semidirect
14. #21457452C2semidirect
15. #21457448C2semidirect
16. #21457429C2semidirect
17. #21457423C2semidirect
18. #21457412C2semidirect
19. #21457222C2semidirect
20. #21457215C2semidirect
21. #21457191C2semidirect
22. #21456788C2semidirect
23. #21456786C2semidirect
24. #21456774C2semidirect
25. #21455871C2semidirect
26. #21455842C2semidirect
27. #21455313C2semidirect
28. #21455308C2semidirect
29. #21455281C2semidirect
30. #21454948C2semidirect
31. C61×#3102C2semidirect
32. C2×#14519807C22semidirect
33. C2×#14519806C22semidirect
34. C2×#14519804C22semidirect
37. C2×#14519801C22semidirect
38. #16840495C22semidirect
39. #16840484C22semidirect
40. #16840484C22semidirect
43. #16840471C22semidirect
45. #16840453C22semidirect
46. #16840451C22semidirect
52. #16840425C22semidirect
57. #16840407C22semidirect
60. #16840400C22semidirect
61. #16840396C22semidirect
65. #16840316C22semidirect
67. #16840299C22semidirect
69. #16840297C22semidirect
71. #16840296C22semidirect
73. C2×#14519765C22semidirect
74. #124×D61C22semidirect
78. C4×#11758224C22semidirect
79. C4×D4×D61C22semidirect
83. #16840146C22semidirect
84. #16840143C22semidirect
85. #16840140C22semidirect
86. #16840133C22semidirect
87. #16840118C22semidirect
88. #16840117C22semidirect
89. #16840117C22semidirect
90. #16840115C22semidirect
91. #16840111C22semidirect
92. #16840107C22semidirect
93. #16840106C22semidirect
94. #16840099C22semidirect
95. #16840089C22semidirect
97. #16840072C22semidirect
98. #16840069C22semidirect
99. #16840066C22semidirect
100. #16840065C22semidirect
101. #16840062C22semidirect
102. #16840059C22semidirect
103. #16840056C22semidirect
104. #16840051C22semidirect
105. #16840021C22semidirect
106. #16840019C22semidirect
107. #16840019C22semidirect
108. #16840018C22semidirect
112. #16840011C22semidirect
113. #16840010C22semidirect
115. #16840009C22semidirect
116. #16840006C22semidirect
117. #16839987C22semidirect
118. #16839987C22semidirect
119. #16839985C22semidirect
120. #16839985C22semidirect
121. #16839984C22semidirect
122. #16839984C22semidirect
123. #16839984C22semidirect
124. #16839984C22semidirect
125. #16839984C22semidirect
126. #16839983C22semidirect
127. #16839981C22semidirect
128. #16839980C22semidirect
131. #16839978C22semidirect
134. #16839977C22semidirect
135. #16839977C22semidirect
136. #16839977C22semidirect
137. #16839975C22semidirect
138. #16839974C22semidirect
139. #16839971C22semidirect
140. #16839966C22semidirect
141. #16839966C22semidirect
142. #16839965C22semidirect
145. #16839927C22semidirect
146. #16839925C22semidirect
147. #16839925C22semidirect
148. #16839923C22semidirect
149. #16839921C22semidirect
150. #16839920C22semidirect
151. #16839916C22semidirect
152. #16839915C22semidirect
153. #16839914C22semidirect
154. #16839911C22semidirect
156. #16839903C22semidirect
157. #16839902C22semidirect
161. C8×Dic122C22semidirect
162. C8×Dic122C22semidirect
163. #16839856C22semidirect
164. #16839853C22semidirect
165. #16839853C22semidirect
166. #16839849C22semidirect
167. #16839849C22semidirect
170. #16839842C22semidirect
171. #16839841C22semidirect
172. #16839841C22semidirect
173. #16839837C22semidirect
174. #16839837C22semidirect
175. #16839837C22semidirect
176. #16839837C22semidirect
177. #16839814C22semidirect
178. #16839814C22semidirect
179. #16839786C22semidirect
180. #16839784C22semidirect
181. #16839784C22semidirect
182. #16839770C22semidirect
183. #16839769C22semidirect
184. #16839766C22semidirect
185. #16839765C22semidirect
186. #16839762C22semidirect
187. #16839760C22semidirect
188. C61×#529C22semidirect
189. C4×#41×C61C22semidirect
190. C61×#485C22semidirect
191. C61×#482C22semidirect
192. C61×#479C22semidirect
193. C61×#478C22semidirect
194. C61×#464C22semidirect
195. C61×#463C22semidirect
196. C61×#452C22semidirect
198. C4×Q16×C61C22semidirect
199. C4×SD16×C61C22semidirect
200. C4×SD16×C61C22semidirect
201. C4×D8×C61C22semidirect
202. C61×#431C22semidirect
902. #3102D61semidirect
959. #529C2×D61semidirect
966. C4×#41C2×D61semidirect
982. #485C2×D61semidirect
985. #482C2×D61semidirect
990. #479C2×D61semidirect
994. #478C2×D61semidirect
1020. #464C2×D61semidirect
1032. #463C2×D61semidirect
1044. #452C2×D61semidirect
1060. C4×Q16C2×D61semidirect
1065. C4×SD16C2×D61semidirect
1066. C4×SD16C2×D61semidirect
1070. C4×D8C2×D61semidirect
1079. #431C2×D61semidirect
1089. C61#62004semidirect

Maximal subgroups

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

subgroupindex
#214597682
#214593812
#214588162
#214588072
#214584802
#214584692
#214581112
#214580922
#214580852
#214580592
#214580402
#214580332
#214574632
#214574522
#214574482
#214574292
#214574232
#214574122
#214572222
#214572152
#214571912
#214567882
#214567862
#214567742
#214558712
#214558422
#214553132
#214553082
#214552812
#214549482
C61×#31022
#6200461