Finite Group Databasebeta

← #30566579

Subgroups — #30566579

Order 15616.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460100C211yesmaximal, characteristic, complemented
2#21459483C211yesmaximal, characteristic, complemented
3#21458155C211yesmaximal, characteristic, complemented
4#21458090C211yesmaximal, characteristic, complemented
5#21458045C211yesmaximal, characteristic, complemented
6#21458026C211yesmaximal, characteristic, complemented
7#21457898C211yesmaximal, characteristic, complemented
8#21457891C211yesmaximal, characteristic, complemented
9#21457838C211yesmaximal, characteristic, complemented
10#21457831C211yesmaximal, characteristic, complemented
11#21457482C211yesmaximal, characteristic, complemented
12#21457473C211yesmaximal, characteristic, complemented
13#21457443C211yesmaximal, characteristic, complemented
14#21457412C211yesmaximal, characteristic, complemented
15#21457397C211yesmaximal, characteristic, complemented
16#21457378C211yesmaximal, characteristic, complemented
17#21457326C211yesmaximal, characteristic, complemented
18#21457311C211yesmaximal, characteristic, complemented
19#21456911C211yesmaximal, characteristic, complemented
20#21456889C211yesmaximal, characteristic, complemented
21#21456695C211yesmaximal, characteristic, complemented
22#21456632C211yesmaximal, characteristic, complemented
23#21456624C211yesmaximal, characteristic, complemented
24#21456076C211yesmaximal, characteristic, complemented
25#21456028C211yesmaximal, characteristic, complemented
26#21455120C211yesmaximal, characteristic, complemented
27#21455098C211yesmaximal, characteristic, complemented
28#21455076C211yesmaximal, characteristic, complemented
29#21455057C211yesmaximal, characteristic, complemented
30#21454877C211yesmaximal, characteristic, complemented
31C61×#3203C211yesmaximal, characteristic, complemented
32C2×#14519823C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C2×#14519810C2211yescharacteristic, complemented
35C2×#14519809C2211yescharacteristic, complemented
36C2×#14519806C2211yescharacteristic, complemented
37C2×#14519806C2211yescharacteristic, complemented
38C2×#14519802C2211yescharacteristic, complemented
39C2×#14519801C2211yescharacteristic, complemented
40C2×#14519797C2211yescharacteristic, complemented
41C22×#11758190C2211yescharacteristic, complemented
42#16840513—21no—
43#16840507—21no—
44#16840483C2211yescharacteristic, complemented
45#16840467C2211yescharacteristic, complemented
46#16840466—21no—
47#16840459—21no—
48#16840459C2211yescharacteristic, complemented
49#16840447C2211yescharacteristic, complemented
50#16840430C2211yescharacteristic
51#16840430C2211yescharacteristic
52#16840425C2211yescharacteristic, complemented
53#16840422C2211yescharacteristic
54#16840422C2211yescharacteristic
55#16840419C2211yescharacteristic, complemented
56#16840418C2211yescharacteristic, complemented
57#16840411C2211yescharacteristic, complemented
58#16840403C2211yescharacteristic
59#16840403C2211yescharacteristic
60#16840401—21no—
61#16840401—21no—
62#16840396—21no—
63#16840396—21no—
64#16840396C2211yescharacteristic
65#16840396C2211yescharacteristic
66#16840379—21no—
67#16840379C2211yescharacteristic, complemented
68#16840372C2211yescharacteristic, complemented
69#16840357—21no—
70#16840344—21no—
71#16840344—21no—
72#16840342—21no—
73#16840333C2211yescharacteristic, complemented
74#16840328—21no—
75#16840326C2211yescharacteristic
76#16840275—21no—
77#16840272C2211yescharacteristic, complemented
78#16840269C2211yescharacteristic
79C22⋊Q8×D61C2211yescharacteristic, complemented
80C2×#14519752C2211yescharacteristic
81#121×D61—21no—
82#16840243C2211yescharacteristic
83#16840155C2211yescharacteristic, complemented
84#16840150C2211yescharacteristic, complemented
85#16840143C2211yescharacteristic, complemented
86#16840133C2211yescharacteristic, complemented
87#16840125C2211yescharacteristic, complemented
88#16840123C2211yescharacteristic, complemented
89#16840118C2211yescharacteristic, complemented
90#16840107C2211yescharacteristic, complemented
91#16840100C2211yescharacteristic, complemented
92#16840097C2211yescharacteristic, complemented
93#16840092C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic, complemented
95#16840089C2211yescharacteristic, complemented
96#16840083C2211yescharacteristic, complemented
97#16840077C2211yescharacteristic, complemented
98#16840077C2211yescharacteristic, complemented
99#16840068C2211yescharacteristic, complemented
100#16840065C2211yescharacteristic, complemented
101#16840056C2211yescharacteristic, complemented
102#16840041C2211yescharacteristic, complemented
103#16840018C2211yescharacteristic, complemented
104#16840014C2211yescharacteristic, complemented
105#16840014C2211yescharacteristic, complemented
106#16840011C2211yescharacteristic, complemented
107#16840011C2211yescharacteristic, complemented
108#16840009C2211yescharacteristic, complemented
109#16840009C2211yescharacteristic, complemented
110#16840009C2211yescharacteristic, complemented
111#16840009C2211yescharacteristic, complemented
112#16840006C2211yescharacteristic, complemented
113#16840001C2211yescharacteristic, complemented
114#16839989C2211yescharacteristic, complemented
115#16839987C2211yescharacteristic, complemented
116#16839987C2211yescharacteristic, complemented
117#16839986C2211yescharacteristic, complemented
118#16839983C2211yescharacteristic, complemented
119#16839979C2211yescharacteristic, complemented
120#16839976C2211yescharacteristic, complemented
121#16839971C2211yescharacteristic, complemented
122#16839966C2211yescharacteristic, complemented
123#16839961C2211yescharacteristic, complemented
124#16839961C2211yescharacteristic, complemented
125#16839960C2211yescharacteristic, complemented
126#16839955C2211yescharacteristic, complemented
127#16839927C2211yescharacteristic, complemented
128#16839926C2211yescharacteristic
129#16839926C2211yescharacteristic
130#16839926C2211yescharacteristic, complemented
131#16839926C2211yescharacteristic, complemented
132#16839925C2211yescharacteristic, complemented
133#16839924C2211yescharacteristic, complemented
134#16839924C2211yescharacteristic, complemented
135#16839922C2211yescharacteristic
136#16839922C2211yescharacteristic, complemented
137#16839919C2211yescharacteristic, complemented
138#16839917C2211yescharacteristic, complemented
139#16839916C2211yescharacteristic, complemented
140#16839915C2211yescharacteristic, complemented
141#16839915C2211yescharacteristic, complemented
142#16839915C2211yescharacteristic, complemented
143#16839915C2211yescharacteristic, complemented
144#16839914C2211yescharacteristic, complemented
145#16839912C2211yescharacteristic, complemented
146#16839912C2211yescharacteristic, complemented
147#16839911C2211yescharacteristic, complemented
148#16839908C2211yescharacteristic, complemented
149#16839908C2211yescharacteristic, complemented
150#16839906C2211yescharacteristic, complemented
151#16839905C2211yescharacteristic
152#16839905C2211yescharacteristic, complemented
153#16839904C2211yescharacteristic, complemented
154#16839902C2211yescharacteristic, complemented
155#16839902C2211yescharacteristic, complemented
156#16839900C2211yescharacteristic, complemented
157#16839895C2211yescharacteristic, complemented
158#16839895C2211yescharacteristic, complemented
159#16839866C2211yescharacteristic, complemented
160#16839861C2211yescharacteristic, complemented
161#16839861C2211yescharacteristic, complemented
162#16839859C2211yescharacteristic, complemented
163#16839856C2211yescharacteristic, complemented
164#16839856C2211yescharacteristic, complemented
165#16839847C2211yescharacteristic, complemented
166#16839842C2211yescharacteristic, complemented
167#16839838C2211yescharacteristic, complemented
168#16839838C2211yescharacteristic, complemented
169#16839837C2211yescharacteristic, complemented
170#16839837C2211yescharacteristic, complemented
171#16839833C2211yescharacteristic, complemented
172#16839833C2211yescharacteristic, complemented
173#16839830C2211yescharacteristic, complemented
174#16839830C2211yescharacteristic, complemented
175#16839820C2211yescharacteristic, complemented
176#16839820C2211yescharacteristic, complemented
177#16839769C2211yescharacteristic, complemented
178#16839768C2211yescharacteristic, complemented
179#16839765C2211yescharacteristic, complemented
180#16839762C2211yescharacteristic, complemented
181#16839761C2211yescharacteristic, complemented
182#16839760C2211yescharacteristic, complemented
183#16839759C2211yescharacteristic, complemented
184C2×#14519697C2211yescharacteristic, complemented
185#16839729C2211yescharacteristic, complemented
186#16839724C2211yescharacteristic, complemented
187#16839724C2211yescharacteristic, complemented
188C61×#537C2211yescharacteristic
189C61×#537C2211yescharacteristic, complemented
190C61×#484C2211yescharacteristic, complemented
191C61×#484C2211yescharacteristic, complemented
192C61×#480C2211yescharacteristic, complemented
193C61×#480C2211yescharacteristic, complemented
194C61×#468C2211yescharacteristic, complemented
195C61×#468C2211yescharacteristic, complemented
196C61×#467C2211yescharacteristic, complemented
197C61×#466C2211yescharacteristic, complemented
198C61×#452C2211yescharacteristic, complemented
199C61×#452C2211yescharacteristic, complemented
200C61×#449C2211yescharacteristic, complemented
201C61×#449C2211yescharacteristic, complemented
202C61×#408C2211yescharacteristic, complemented
203#14519823—42no—
204#14519823—42no—
205C2×#11758226—21no—
206C2×#11758226C2311yescharacteristic
207C2×#11758222—21no—
208C2×#11758222C2311yescharacteristic
209C2×#11758222C2311yescharacteristic
210C2×#11758222C2311yescharacteristic
211C2×#11758224—21no—
212C2×#11758224C2311yescharacteristic
213C2×#11758224C2311yescharacteristic
214#41×D61—42no—
215#41×D61—42no—
216C22×Dic122C2311yescharacteristic
217C2×Q8×D61C2311yescharacteristic
218C2×Q8×D61C2311yescharacteristic
219C22×D244—21no—
220C22×D244C2311yescharacteristic
221C22×D244C2311yescharacteristic
222C22×D244C2311yescharacteristic
223C2×D4×D61—21no—
224C2×D4×D61—21no—
225C2×D4×D61—21no—
226C2×D4×D61—21no—
227C2×D4×D61—21no—
228C2×D4×D61—21no—
229C2×D4×D61C2311yescharacteristic
230C22×C4×D61—21no—
231C22×C4×D61C2311yescharacteristic
232#14519810—42no—
233#14519809—42no—
234#14519806—42no—
235#14519806—42no—
236#14519802—42no—
237#14519801—42no—
238#14519797—42no—
239C2×Dic244C2311yescharacteristic
240C2×Dic244C2311yescharacteristic
241C2×#11758202C2311yescharacteristic
242C2×#11758202C2311yescharacteristic
243C2×#11758202C2311yescharacteristic
244C2×#11758190—42no—
245C2×#11758190C2311yescharacteristic
246C2×#11758190C2311yescharacteristic
247C2×#11758190C2311yescharacteristic
248C2×#11758190C2311yescharacteristic
249C2×#11758190C2311yescharacteristic
250C2×#11758190C2311yescharacteristic
251C2×#11758200C2311yescharacteristic
252C2×#11758200C2311yescharacteristic
253C2×#11758200C2311yescharacteristic
254C2×#11758201C2311yescharacteristic
255C2×#11758201C2311yescharacteristic
256C2×#11758201C2311yescharacteristic
257C2×#11758199C2311yescharacteristic
258C2×#11758199C2311yescharacteristic
259C2×#11758199C2311yescharacteristic
260C2×#11758194C2311yescharacteristic
261C2×#11758189C2311yescharacteristic
262C2×#11758189C2311yescharacteristic
263C2×#11758189C2311yescharacteristic
264C2×#11758189C2311yescharacteristic
265C22×#92418C2311yescharacteristic
266#14519776—21no—
267#14519776C2311yescharacteristic
268#14519775—21no—
269#14519775C2311yescharacteristic
270#14519773—21no—
271#14519773—21no—
272#14519773C2311yescharacteristic
273#14519773C2311yescharacteristic
274#14519772—21no—
275#14519772—21no—
276#14519770—21no—
277#14519770—21no—
278#14519770—21no—
279#14519770—21no—
280#14519770—21no—
281#14519768—21no—
282#14519768C2311yescharacteristic
283#14519767—21no—
284#14519767—21no—
285#14519767—21no—
286#14519766C2311yescharacteristic
287#14519766C2311yescharacteristic
288#14519764—21no—
289#14519764—21no—
290#14519764—21no—
291#14519764C2311yescharacteristic
292#14519763—21no—
293#14519763—21no—
294#14519763—21no—
295#14519763—21no—
296#14519762—21no—
297#14519762—21no—
298#14519760—21no—
299#14519760—21no—
300#14519759—21no—
301#14519758—21no—
302#14519758—21no—
303#14519758—21no—
304#14519758—21no—
305#14519758—21no—
306#14519758D411yescharacteristic
307#14519758D411yescharacteristic
308#14519757C2311yescharacteristic
309#14519757C2311yescharacteristic
310#14519756—21no—
311#14519756—21no—
312#14519756C2311yescharacteristic
313#14519756C2311yescharacteristic
314#14519756C2311yescharacteristic
315#14519756C2311yescharacteristic
316#14519755—21no—
317#14519755—21no—
318#14519755—21no—
319#14519755—21no—
320#14519755—21no—
321#14519754—21no—
322#14519754—21no—
323#14519754—21no—
324#14519754—21no—
325#14519753D411yescharacteristic
326#14519753D411yescharacteristic
327#14519753C2311yescharacteristic
328#14519752—21no—
329#14519752—21no—
330#14519752—21no—
331#14519752—21no—
332#14519752C2311yescharacteristic
333#14519752C2311yescharacteristic
334#14519752C2311yescharacteristic
335#14519752C2311yescharacteristic
336#14519751—21no—
337#14519751—21no—
338#14519750—21no—
339#14519750—21no—
340#14519750—21no—
341#14519750—21no—
342#14519750—21no—
343#14519750—21no—
344#14519749—21no—
345#14519749—21no—
346#14519749—21no—
347#14519749—21no—
348#14519748—21no—
349#14519748—21no—
350#14519748D411yescharacteristic
351#14519748D411yescharacteristic
352#14519748C2311yescharacteristic
353#14519747—21no—
354#14519747—21no—
355#14519747—21no—
356#14519747—21no—
357#14519745—21no—
358#14519745—21no—
359#14519745—21no—
360#14519745—21no—
361#14519745—21no—
362#14519745D411yescharacteristic
363#14519745D411yescharacteristic
364Q8×Dic61C2311yescharacteristic
365#14519742—21no—
366#14519742C2311yescharacteristic
367#14519742C2311yescharacteristic
368#14519742C2311yescharacteristic
369#14519742C2311yescharacteristic
370D4×Dic61—21no—
371D4×Dic61—21no—
372D4×Dic61C2311yescharacteristic
373#14519739—21no—
374#14519739—21no—
375#14519739C2311yescharacteristic
376#14519739C2311yescharacteristic
377C4×C22⋊D61—21no—
378C4×C22⋊D61—21no—
379C4×C22⋊D61—21no—
380C4×C22⋊D61—21no—
381C4×C22⋊D61C2311yescharacteristic
382C4×C22⋊D61C2311yescharacteristic
383C4×C22⋊D61C2311yescharacteristic
384C4×C22⋊D61C2311yescharacteristic
385#14519737—21no—
386#14519737—21no—
387#14519737—21no—
388#14519737—21no—
389#14519737—21no—
390#14519736—21no—
391#14519736C2311yescharacteristic
392#14519736C2311yescharacteristic
393#14519735—21no—
394#14519735C2311yescharacteristic
395C2×#11758196—21no—
396C4⋊C4×D61—21no—
397C4⋊C4×D61—21no—
398C4⋊C4×D61C2311yescharacteristic
399C2×#11758198—21no—
400C22⋊C4×D61—21no—
401C22⋊C4×D61—21no—
402C22⋊C4×D61—21no—
403#14519710C2311yescharacteristic
404#14519710C2311yescharacteristic
405#14519708C2311yescharacteristic
406#14519708C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519706C2311yescharacteristic
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#14519699C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437C22⋊#92418C2311yescharacteristic
438C22⋊#92418C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519689C2311yescharacteristic
442#14519689C2311yescharacteristic
443#14519687C2311yescharacteristic
444#14519687C2311yescharacteristic
445C8×Dic61C2311yescharacteristic
446C8×Dic61C2311yescharacteristic
447C2×#41×C61C2311yescharacteristic
448C2×#41×C61C2311yescharacteristic
449C2×#41×C61C2311yescharacteristic
450C2×Q16×C61C2311yescharacteristic
451C2×SD16×C61C2311yescharacteristic
452C2×SD16×C61C2311yescharacteristic
453C2×D8×C61C2311yescharacteristic
454C2×M16×C61C2311yescharacteristic
455C22×C8×C61C2311yescharacteristic
456C22⋊Q8×C61—21no—
457C22⋊Q8×C61—21no—
458C22⋊Q8×C61C2311yescharacteristic
459C22⋊Q8×C61C2311yescharacteristic
460C22⋊Q8×C61C2311yescharacteristic
461C22⋊Q8×C61C2311yescharacteristic
462#121×C61—21no—
463#121×C61—21no—
464#121×C61—21no—
465#121×C61—21no—
466#121×C61—21no—
467#121×C61—21no—
468#121×C61C2311yescharacteristic
469#121×C61C2311yescharacteristic
470#121×C61C2311yescharacteristic
471#121×C61C2311yescharacteristic
472C2×C4⋊C4×C61C2311yescharacteristic
473C2×C4⋊C4×C61C2311yescharacteristic
474#107×C61C2311yescharacteristic
475#107×C61C2311yescharacteristic
476#107×C61C2311yescharacteristic
477#107×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484#102×C61C2311yescharacteristic
485#102×C61C2311yescharacteristic
486C22⋊C8×C61C2311yescharacteristic
487C22⋊C8×C61C2311yescharacteristic
488C22⋊C8×C61C2311yescharacteristic
489C22⋊C8×C61C2311yescharacteristic
490C23×D61—21no—
491C23×D61—21no—
492C23×D61—21no—
493C23×D61—21no—
494C23×D61C2×D411yescharacteristic
495#41×C61—41no—
496#41×C61—41no—
497#41×C61—41no—
498#41×C61—41no—
499#41×C61—41no—
500#41×C61—41no—
501C2×Q8×C61C2×D411yescharacteristic
502C2×Q8×C61C2411yescharacteristic
503C2×Q8×C61C2411yescharacteristic
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61—21no—
507C2×D4×C61—21no—
508C2×D4×C61—21no—
509C2×D4×C61—21no—
510C2×D4×C61C2×D411yescharacteristic
511C2×D4×C61C2×D411yescharacteristic
512C2×D4×C61C2×D411yescharacteristic
513C2×D4×C61C2411yescharacteristic
514C2×D4×C61C2411yescharacteristic
515C22×C4×C61—21no—
516C22×C4×C61—21no—
517C22×C4×C61—21no—
518C22×C4×C61—21no—
519C22×C4×C61C2411yescharacteristic
520C22×C4×C61C2411yescharacteristic
521C22×C4×C61C2411yescharacteristic
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61—21no—
525C2×C22⋊D61—21no—
526C2×C22⋊D61—21no—
527C2×C22⋊D61—21no—
528C2×C22⋊D61—21no—
529C2×C22⋊D61—21no—
530C2×C22⋊D61—21no—
531C2×C22⋊D61—21no—
532C2×C22⋊D61—21no—
533C2×C22⋊D61C2×D411yescharacteristic
534C2×C22⋊D61C2×D411yescharacteristic
535C2×C22⋊D61C2×D411yescharacteristic
536C2×C22⋊D61C2×D411yescharacteristic
537C22×Dic61—21no—
538C22×Dic61—21no—
539C22×Dic61—21no—
540C22×Dic61—21no—
541C22×Dic61C2×D411yescharacteristic
542#11758226—22no—
543#11758226—41no—
544#11758226—44no—
545Q8×D61—22no—
546Q8×D61—41no—
547Q8×D61—41no—
548Q8×D61—41no—
549#11758224—22no—
550#11758224—41no—
551#11758224—41no—
552#11758224—41no—
553#11758224—44no—
554D4×D61—22no—
555D4×D61—41no—
556D4×D61—44no—
557D4×D61—44no—
558D4×D61—44no—
559D4×D61—44no—
560D4×D61—82no—
561D4×D61—82no—
562#11758222—22no—
563#11758222—22no—
564#11758222—22no—
565#11758222—22no—
566#11758222—41no—
567#11758222—41no—
568#11758222—44no—
569C2×D244—22no—
570C2×D244—22no—
571C2×D244—21no—
572C2×D244—21no—
573C2×D244—21no—
574C2×D244—21no—
575C2×D244—21no—
576C2×D244—21no—
577C2×D244—21no—
578C2×D244—21no—
579C2×D244—41no—
580C2×D244—41no—
581C2×D244—41no—
582C2×D244—41no—
583C2×D244—82no—
584C2×D244C2411yescharacteristic
585C2×D244C2411yescharacteristic
586C2×D244C2411yescharacteristic
587C2×C4×D61—21no—
588C2×C4×D61—21no—
589C2×C4×D61—21no—
590C2×C4×D61—21no—
591C2×C4×D61—21no—
592C2×C4×D61—21no—
593C2×C4×D61—21no—
594C2×C4×D61—21no—
595C2×C4×D61—21no—
596C2×C4×D61—41no—
597C2×C4×D61—41no—
598C2×C4×D61—44no—
599C2×C4×D61C2×D411yescharacteristic
600C2×C4×D61C2×D411yescharacteristic
601C2×C4×D61C2411yescharacteristic
602C2×C4×D61C2411yescharacteristic
603C2×Dic122—21no—
604C2×Dic122—21no—
605C2×Dic122—21no—
606C2×Dic122—21no—
607C2×Dic122—41no—
608C2×Dic122—41no—
609C2×Dic122C2411yescharacteristic
610C2×Dic122C2411yescharacteristic
611C2×Dic122C2411yescharacteristic
612Q16×C61—41no—
613SD16×C61—41no—
614SD16×C61—41no—
615D8×C61—41no—
616M16×C61—41no—
617C2×C8×C61—41no—
618C2×C8×C61C2411yescharacteristic
619C2×C8×C61C2411yescharacteristic
620C2×C8×C61C2411yescharacteristic
621C2×C8×C61C2411yescharacteristic
622C4⋊C4×C61—21no—
623C4⋊C4×C61—21no—
624C4⋊C4×C61—21no—
625C4⋊C4×C61—21no—
626C4⋊C4×C61—21no—
627C4⋊C4×C61—21no—
628C4⋊C4×C61C2411yescharacteristic
629C4⋊C4×C61C2411yescharacteristic
630C4⋊C4×C61C2411yescharacteristic
631C4⋊C4×C61C2411yescharacteristic
632C22⋊C4×C61—21no—
633C22⋊C4×C61—21no—
634C22⋊C4×C61—21no—
635C22⋊C4×C61—21no—
636C22⋊C4×C61—21no—
637C22⋊C4×C61—21no—
638C22⋊C4×C61—21no—
639C22⋊C4×C61—21no—
640C22⋊Dic61—21no—
641C22⋊Dic61—21no—
642C22⋊Dic61—21no—
643C22⋊Dic61—21no—
644C22⋊Dic61—21no—
645C22⋊Dic61—21no—
646C22⋊Dic61—21no—
647C22⋊Dic61—21no—
648C22⋊Dic61—21no—
649C22⋊Dic61C2×D411yescharacteristic
650C22⋊Dic61C2×D411yescharacteristic
651C22⋊Dic61C2×D411yescharacteristic
652C22⋊Dic61C2×D411yescharacteristic
653C22⋊Dic61C2×D411yescharacteristic
654C22⋊Dic61C2×D411yescharacteristic
655#11758202—22no—
656#11758202—41no—
657#11758202—41no—
658#11758201—22no—
659#11758201—41no—
660#11758201—41no—
661#11758200—22no—
662#11758200—41no—
663#11758200—41no—
664#11758199—22no—
665#11758199—41no—
666#11758199—41no—
667#11758198—21no—
668#11758198—21no—
669#11758198—21no—
670#11758198—21no—
671#11758198—21no—
672#11758198—21no—
673#11758198—21no—
674#11758198—21no—
675#11758198—21no—
676#11758198—21no—
677#11758198—21no—
678#11758198—21no—
679#11758198—21no—
680#11758198—21no—
681#11758198C2×D411yescharacteristic
682#11758198C2×D411yescharacteristic
683#11758198C2×D411yescharacteristic
684#11758198C2×D411yescharacteristic
685C4⋊Dic61—21no—
686C4⋊Dic61—21no—
687C4⋊Dic61—21no—
688C4⋊Dic61—21no—
689C4⋊Dic61C2×D411yescharacteristic
690C4⋊Dic61C2×D411yescharacteristic
691C4⋊Dic61C2411yescharacteristic
692C4⋊Dic61C2411yescharacteristic
693#11758196—21no—
694#11758196—21no—
695#11758196—21no—
696#11758196—21no—
697#11758196—21no—
698#11758196—21no—
699#11758196—21no—
700#11758196—21no—
701#11758196—21no—
702#11758196—21no—
703#11758196—21no—
704#11758196—21no—
705#11758196—21no—
706#11758196—21no—
707#11758196C2×D411yescharacteristic
708#11758196C2×D411yescharacteristic
709#11758196C2×D411yescharacteristic
710#11758196C2×D411yescharacteristic
711C4×Dic61—21no—
712C4×Dic61—21no—
713C4×Dic61—21no—
714C4×Dic61—21no—
715C4×Dic61—21no—
716C4×Dic61—21no—
717C4×Dic61—21no—
718C4×Dic61C2411yescharacteristic
719C4×Dic61C2411yescharacteristic
720#11758194—41no—
721C2×#92418—41no—
722C2×#92418C2411yescharacteristic
723C2×#92418C2411yescharacteristic
724C2×#92418C2411yescharacteristic
725C2×#92418C2411yescharacteristic
726Dic244—22no—
727Dic244—22no—
728#11758190—22no—
729#11758190—22no—
730#11758190—41no—
731#11758190—41no—
732#11758190—41no—
733#11758190—41no—
734#11758189—41no—
735#11758189—41no—
736#11758189—41no—
737#11758189—41no—
738C23×C61—21no—
739C23×C61—21no—
740C23×C61C22×D411yescharacteristic
741C23×C61C22×D411yescharacteristic
742C23×C61C22×D411yescharacteristic
743C22×D61—21no—
744C22×D61—21no—
745C22×D61—21no—
746C22×D61—41no—
747C22×D61—41no—
748C22×D61—41no—
749C22×D61—42no—
750C22×D61—42no—
751C22×D61—42no—
752C22×D61—42no—
753C22×D61—42no—
754C22×D61—81no—
755C22×D61—81no—
756C22×D61—81no—
757C22×D61—81no—
758C22×D61—81no—
759C22×D61—81no—
760C22×D61—81no—
761C22×D61C22×D411yescharacteristic
762C22×D61C22×D411yescharacteristic
763Q8×C61—21no—
764Q8×C61—21no—
765Q8×C61—21no—
766Q8×C61—21no—
767Q8×C61—41no—
768D4×C61—21no—
769D4×C61—21no—
770D4×C61—21no—
771D4×C61—21no—
772D4×C61—41no—
773D4×C61—41no—
774D4×C61—41no—
775D4×C61—42no—
776D4×C61—81no—
777D4×C61—81no—
778D4×C61—81no—
779D4×C61—81no—
780D4×C61—81no—
781C2×C4×C61—21no—
782C2×C4×C61—21no—
783C2×C4×C61—21no—
784C2×C4×C61—21no—
785C2×C4×C61—21no—
786C2×C4×C61—21no—
787C2×C4×C61—21no—
788C2×C4×C61—21no—
789C2×C4×C61—21no—
790C2×C4×C61—21no—
791C2×C4×C61—21no—
792C2×C4×C61—21no—
793C2×C4×C61—42no—
794C2×C4×C61—81no—
795C2×C4×C61—81no—
796C2×C4×C61—81no—
797C2×C4×C61C22×D411yescharacteristic
798C2×C4×C61C22×D411yescharacteristic
799C2×C4×C61C22×D411yescharacteristic
800C2×C4×C61C2511yescharacteristic
801C22⋊D61—24no—
802C22⋊D61—41no—
803C22⋊D61—41no—
804C22⋊D61—41no—
805C22⋊D61—41no—
806C22⋊D61—42no—
807C22⋊D61—42no—
808C22⋊D61—42no—
809C22⋊D61—42no—
810C22⋊D61—42no—
811C22⋊D61—81no—
812C22⋊D61—81no—
813C22⋊D61—81no—
814C22⋊D61—81no—
815C22⋊D61—81no—
816C2×Dic61—21no—
817C2×Dic61—21no—
818C2×Dic61—21no—
819C2×Dic61—21no—
820C2×Dic61—21no—
821C2×Dic61—41no—
822C2×Dic61—42no—
823C2×Dic61—81no—
824C2×Dic61—81no—
825C2×Dic61—81no—
826C2×Dic61C22×D411yescharacteristic
827C2×Dic61C22×D411yescharacteristic
828C2×Dic61C22×D411yescharacteristic
829C2×Dic61C22×D411yescharacteristic
830C2×Dic61C22×D411yescharacteristic
831C2×Dic61C22×D411yescharacteristic
832D244—21no—
833D244—21no—
834D244—21no—
835D244—21no—
836D244—21no—
837D244—42no—
838D244—42no—
839D244—42no—
840D244—42no—
841D244—42no—
842D244—42no—
843D244—81no—
844D244—81no—
845D244H(5,𝔽2)12yes—
846C4×D61—24no—
847C4×D61—21no—
848C4×D61—21no—
849C4×D61—21no—
850C4×D61—21no—
851C4×D61—41no—
852C4×D61—41no—
853C4×D61—42no—
854C4×D61—42no—
855C4×D61—42no—
856C4×D61—42no—
857C4×D61—81no—
858C4×D61—81no—
859C4×D61—81no—
860C4×D61—81no—
861Dic122—21no—
862Dic122—21no—
863Dic122—21no—
864Dic122—21no—
865Dic122—21no—
866Dic122—42no—
867Dic122—81no—
868Dic122—81no—
869Dic122—81no—
870Dic122H(5,𝔽2)12yes—
871C8×C61—21no—
872C8×C61—21no—
873C8×C61—21no—
874C8×C61—21no—
875#92418—21no—
876#92418—21no—
877#92418—21no—
878#92418—21no—
879#61654—611nomaximal, Sylow
880C22×C61—21no—
881C22×C61—21no—
882C22×C61—21no—
883C22×C61—21no—
884C22×C61—21no—
885C22×C61—21no—
886C22×C61—21no—
887C22×C61—21no—
888C22×C61—21no—
889C22×C61—41no—
890C22×C61—41no—
891C22×C61—41no—
892C22×C61—41no—
893C22×C61—41no—
894C22×C61—41no—
895C22×C61C23×D411yescharacteristic
896C2×D61—21no—
897C2×D61—21no—
898C2×D61—21no—
899C2×D61—21no—
900C2×D61—21no—
901C2×D61—21no—
902C2×D61—22no—
903C2×D61—41no—
904C2×D61—41no—
905C2×D61—41no—
906C2×D61—41no—
907C2×D61—41no—
908C2×D61—41no—
909C2×D61—41no—
910C2×D61—41no—
911C2×D61—82no—
912C2×D61—84no—
913C2×D61—162no—
914C2×D61—162no—
915C2×D61—162no—
916C4×C61—21no—
917C4×C61—21no—
918C4×C61—21no—
919C4×C61—41no—
920C4×C61—41no—
921C4×C61—41no—
922C4×C61—41no—
923C4×C61—41no—
924C4×C61—41no—
925C4×C61C2×H(5,𝔽2)11yescharacteristic
926C4×C61C2×H(5,𝔽2)11yescharacteristic
927Dic61—21no—
928Dic61—21no—
929Dic61—21no—
930Dic61—21no—
931Dic61—22no—
932Dic61—21no—
933Dic61—21no—
934Dic61—41no—
935Dic61—41no—
936Dic61—41no—
937Dic61—41no—
938#3541—611no—
939#3488—611no—
940#3333—611no—
941#3327—611no—
942#3324—611no—
943#3322—611no—
944#3314—611no—
945#3313—611no—
946#3310—611no—
947#3309—611no—
948#3278—611no—
949#3277—611no—
950#3275—611no—
951#3272—611no—
952#3271—611no—
953#3269—611no—
954#3266—611no—
955#3265—611no—
956#3224—611no—
957#3222—611no—
958#3203D6111yescharacteristic, complemented
959#3201—611no—
960#3194—611no—
961#3193—611no—
962#3124—611no—
963#3120—611no—
964#3012—611no—
965#3009—611no—
966#3007—611no—
967#3005—611no—
968#2978—611no—
969C2×C61—41no—
970C2×C61—41no—
971C2×C61—41no—
972C2×C61—81no—
973C2×C61—81no—
974C2×C61#348411yescharacteristic
975C2×C61#358511yescharacteristic
976C2×C61#358611yescharacteristic
977D61—41no—
978D61—41no—
979D61—42no—
980D61—81no—
981D61—81no—
982C2×H(5,𝔽2)—611no—
983C22×#41—611no—
984C2×#137—611no—
985C2×#137—611no—
986C2×#137—611no—
987C2×#137—611no—
988C2×AGL(1,ℤ/8)—611no—
989C2×AGL(1,ℤ/8)—611no—
990C2×#135—611no—
991C22×SD16—611no—
992#563—1221no—
993#562—1221no—
994#556—611no—
995#554—611no—
996#554—1221no—
997#553—611no—
998#553—1221no—
999#552—611no—
1000#550—611no—
1001#550—611no—
1002D4×Q8—611no—
1003#548—611no—
1004#548—611no—
1005#548—611no—
1006#548—611no—
1007#547—611no—
1008#546—611no—
1009#546—611no—
1010#546—1221no—
1011#546—1221no—
1012D42—611no—
1013D42—611no—
1014D42—1221no—
1015D42—1221no—
1016#542—611no—
1017#542—1221no—
1018#541—611no—
1019#539—1221no—
1020#538—1221no—
1021#538—1221no—
1022#537—1221no—
1023#537C2×D6111yescharacteristic
1024#537C2×D6111yescharacteristic, complemented
1025#536—611no—
1026#535—611no—
1027#535—1221no—
1028#525—611no—
1029#525—611no—
1030#525—1221no—
1031C2×C22⋊Q8—611no—
1032C2×#121—611no—
1033C2×#121—1221no—
1034#520—611no—
1035#497—611no—
1036#496—611no—
1037#495—611no—
1038#492—611no—
1039#490—611no—
1040#489—611no—
1041#488—611no—
1042#486—611no—
1043#485—611no—
1044#484—611no—
1045#484C2×D6111yescharacteristic, complemented
1046#484C2×D6111yescharacteristic, complemented
1047#483—611no—
1048#482—611no—
1049#482—611no—
1050#482—611no—
1051#480—611no—
1052#480—611no—
1053#480C2×D6111yescharacteristic, complemented
1054#480C2×D6111yescharacteristic, complemented
1055#479—611no—
1056#478—611no—
1057#477—611no—
1058#474—611no—
1059#470—611no—
1060#469—611no—
1061#469—611no—
1062#468—611no—
1063#468—611no—
1064#468—611no—
1065#468—611no—
1066#468—611no—
1067#468—611no—
1068#468—611no—
1069#468C2×D6111yescharacteristic, complemented
1070#468C2×D6111yescharacteristic, complemented
1071#467—611no—
1072#467C2×D6111yescharacteristic, complemented
1073#466C2×D6111yescharacteristic, complemented
1074#465—611no—
1075#464—611no—
1076#464—611no—
1077#464—611no—
1078#464—611no—
1079#463—611no—
1080#463—611no—
1081#462—611no—
1082#461—611no—
1083#460—611no—
1084#460—611no—
1085#460—611no—
1086#459—611no—
1087#452—611no—
1088#452—611no—
1089#452—611no—
1090#452—611no—
1091#452—611no—
1092#452—611no—
1093#452—611no—
1094#452—611no—
1095#452—611no—
1096#452—611no—
1097#452C2×D6111yescharacteristic, complemented
1098#452C2×D6111yescharacteristic, complemented
1099#451—611no—
1100#451—611no—
1101#451—611no—
1102#450—611no—
1103#450—611no—
1104#450—611no—
1105#450—611no—
1106#450—611no—
1107#450—611no—
1108#450—611no—
1109#450—611no—
1110#449—611no—
1111#449—611no—
1112#449—611no—
1113#449—611no—
1114#449—611no—
1115#449—611no—
1116#449C2×D6111yescharacteristic, complemented
1117#449C2×D6111yescharacteristic, complemented
1118#448—611no—
1119#448—611no—
1120#448—611no—
1121#447—611no—
1122#447—611no—
1123#441—611no—
1124#440—611no—
1125#440—611no—
1126#440—611no—
1127C4×Q16—611no—
1128C4×Q16—611no—
1129C4×SD16—611no—
1130C4×D8—611no—
1131#436—611no—
1132#436—611no—
1133#436—611no—
1134#436—611no—
1135#435—611no—
1136#435—611no—
1137#435—611no—
1138#435—611no—
1139#433—611no—
1140#433—611no—
1141#419—611no—
1142#418—611no—
1143#418—611no—
1144#417—611no—
1145#417—611no—
1146#417—611no—
1147#416—611no—
1148C2×#102—611no—
1149#408—611no—
1150#408C2×D6111yescharacteristic, complemented
1151#407—611no—
1152#407—611no—
1153C61#6165411yescharacteristic, complemented, Sylow
1154H(5,𝔽2)—2442no—
1155H(5,𝔽2)—2442no—
1156C2×#41—611no—
1157C2×#41—611no—
1158C2×#41—611no—
1159C2×#41—611no—
1160C2×#41—611no—
1161C2×#41—611no—
1162C2×#41—1221no—
1163C2×#41—1221no—
1164C2×#41—1221no—
1165C2×#41—2442no—
1166C2×#41—2442no—
1167C2×#41C22×D6111yescharacteristic
1168C2×#41C22×D6111yescharacteristic
1169C2×#41C22×D6111yescharacteristic
1170C22×Q8—611no—
1171C22×Q8—611no—
1172C22×Q8—611no—
1173C22×D4—611no—
1174C22×D4—611no—
1175C22×D4—611no—
1176C22×D4—611no—
1177C22×D4—1221no—
1178C22×D4—1221no—
1179C22×D4—1221no—
1180C22×D4—1221no—
1181C22×D4—1221no—
1182C22×D4—1221no—
1183C22×D4—1221no—
1184C23×C4—611no—
1185C23×C4—1221no—
1186#137—2442no—
1187#137—2442no—
1188#137—2442no—
1189#137—2442no—
1190AGL(1,ℤ/8)—2442no—
1191AGL(1,ℤ/8)—2442no—
1192#135—2442no—
1193C2×Q16—611no—
1194C2×Q16—611no—
1195C2×Q16—611no—
1196C2×Q16—611no—
1197C2×Q16—611no—
1198C2×Q16C22×D6111yescharacteristic
1199C2×SD16—611no—
1200C2×SD16—611no—
1201C2×SD16—611no—
1202C2×SD16—611no—
1203C2×SD16—611no—
1204C2×SD16—611no—
1205C2×SD16—611no—
1206C2×SD16—611no—
1207C2×SD16—611no—
1208C2×SD16—611no—
1209C2×SD16—611no—
1210C2×SD16—611no—
1211C2×SD16—2442no—
1212C2×SD16C22×D6111yescharacteristic
1213C2×SD16C22×D6111yescharacteristic
1214C2×D8—611no—
1215C2×D8—611no—
1216C2×D8—611no—
1217C2×D8C22×D6111yescharacteristic
1218C2×M16—611no—
1219C2×M16—611no—
1220C2×M16—611no—
1221C2×M16—611no—
1222C2×M16—611no—
1223C2×M16C22×D6111yescharacteristic
1224C22×C8—611no—
1225C22×C8C22×D6111yescharacteristic
1226C4⋊Q8—611no—
1227C4⋊Q8—611no—
1228C4⋊Q8—1221no—
1229C4⋊Q8—1221no—
1230#127—611no—
1231#127—611no—
1232#127—1221no—
1233#127—1221no—
1234#126—1221no—
1235#126—1221no—
1236#126—1221no—
1237#126—1221no—
1238#126—1221no—
1239#126—1221no—
1240#126—1221no—
1241#125—611no—
1242#125—1221no—
1243#125—1221no—
1244#125—1221no—
1245#125—1221no—
1246#124—611no—
1247#124—611no—
1248#124—611no—
1249#124—1221no—
1250#124—1221no—
1251#124—1221no—
1252#124—1221no—
1253#124—1221no—
1254#124—1221no—
1255#124—1221no—
1256#123—611no—
1257#123—611no—
1258#123—1221no—
1259#123—1221no—
1260#123—1221no—
1261#123—1221no—
1262#123—1221no—
1263#123—1221no—
1264#123—1221no—
1265#123—1221no—
1266#123—1221no—
1267#123—1221no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—611no—
1271C22⋊Q8—611no—
1272C22⋊Q8—611no—
1273C22⋊Q8—611no—
1274C22⋊Q8—611no—
1275C22⋊Q8—611no—
1276C22⋊Q8—611no—
1277C22⋊Q8—611no—
1278C22⋊Q8—611no—
1279C22⋊Q8—1221no—
1280C22⋊Q8—1221no—
1281C22⋊Q8—1221no—
1282C22⋊Q8—1221no—
1283C22⋊Q8—1221no—
1284C22⋊Q8—1221no—
1285C22⋊Q8—1221no—
1286C22⋊Q8—1221no—
1287C22⋊Q8—1221no—
1288C22⋊Q8—1221no—
1289C22⋊Q8—1221no—
1290C22⋊Q8C22×D6111yescharacteristic
1291C22⋊Q8C22×D6111yescharacteristic
1292C22⋊Q8C22×D6111yescharacteristic
1293C22⋊Q8C22×D6111yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—611no—
1301#121—611no—
1302#121—611no—
1303#121—611no—
1304#121—611no—
1305#121—611no—
1306#121—611no—
1307#121—1221no—
1308#121—1221no—
1309#121—1221no—
1310#121—1221no—
1311#121—1221no—
1312#121—1221no—
1313#121—1221no—
1314#121—1221no—
1315#121—1221no—
1316#121—1221no—
1317#121—1221no—
1318#121—1221no—
1319#121—1221no—
1320#121—1221no—
1321#121—1221no—
1322#121—1221no—
1323#121—1221no—
1324#121—1221no—
1325#121C22×D6111yescharacteristic
1326#121C22×D6111yescharacteristic
1327#121C22×D6111yescharacteristic
1328#121C22×D6111yescharacteristic
1329#120—611no—
1330#120—611no—
1331#120—1221no—
1332#120—1221no—
1333#120—1221no—
1334#120—1221no—
1335#120—1221no—
1336#120—1221no—
1337#120—1221no—
1338#120—1221no—
1339#120—1221no—
1340C4×Q8—611no—
1341C4×Q8—611no—
1342C4×Q8—611no—
1343C4×Q8—611no—
1344C4×Q8—611no—
1345C4×Q8—1221no—
1346C4×D4—611no—
1347C4×D4—611no—
1348C4×D4—611no—
1349C4×D4—611no—
1350C4×D4—611no—
1351C4×D4—611no—
1352C4×D4—611no—
1353C4×D4—1221no—
1354C4×D4—1221no—
1355C4×D4—1221no—
1356C4×D4—1221no—
1357C4×D4—1221no—
1358C4×D4—1221no—
1359C4×D4—1221no—
1360C4×D4—1221no—
1361C4×D4—1221no—
1362C4×D4—1221no—
1363C4×D4—1221no—
1364C4×D4—1221no—
1365C4×D4—1221no—
1366#117—611no—
1367#117—611no—
1368#117—611no—
1369#117—1221no—
1370#117—1221no—
1371C2×C4⋊C4—611no—
1372C2×C4⋊C4—1221no—
1373C2×C4⋊C4—1221no—
1374C2×C4⋊C4—1221no—
1375C2×C4⋊C4C22×D6111yescharacteristic
1376C2×C4⋊C4C22×D6111yescharacteristic
1377C2×C22⋊C4—1221no—
1378C2×C22⋊C4—1221no—
1379C2×C22⋊C4—1221no—
1380C2×C22⋊C4—1221no—
1381#107—611no—
1382#107—611no—
1383#107C22×D6111yescharacteristic
1384#107C22×D6111yescharacteristic
1385#107C22×D6111yescharacteristic
1386#107C22×D6111yescharacteristic
1387#106—611no—
1388#106—611no—
1389C4⋊C8—611no—
1390C4⋊C8—611no—
1391C4⋊C8—611no—
1392C4⋊C8—611no—
1393#103—611no—
1394#103—611no—
1395#103—611no—
1396#103—611no—
1397#103—611no—
1398#103—611no—
1399#103—611no—
1400#103—611no—
1401#103—611no—
1402#103—611no—
1403#103C22×D6111yescharacteristic
1404#103C22×D6111yescharacteristic
1405#103C22×D6111yescharacteristic
1406#103C22×D6111yescharacteristic
1407#102—611no—
1408#102—611no—
1409#102—611no—
1410#102—611no—
1411#102—611no—
1412#102—611no—
1413#102—611no—
1414#102—611no—
1415#102—611no—
1416#102—611no—
1417#102—611no—
1418#102—611no—
1419#102—611no—
1420#102—611no—
1421#102C22×D6111yescharacteristic
1422#102C22×D6111yescharacteristic
1423#102C22×D6111yescharacteristic
1424#102C22×D6111yescharacteristic
1425C22⋊C8—611no—
1426C22⋊C8—611no—
1427C22⋊C8—611no—
1428C22⋊C8—611no—
1429C22⋊C8—611no—
1430C22⋊C8—611no—
1431C22⋊C8—611no—
1432C22⋊C8—611no—
1433C22⋊C8C22×D6111yescharacteristic
1434C22⋊C8C22×D6111yescharacteristic
1435C22⋊C8C22×D6111yescharacteristic
1436C22⋊C8C22×D6111yescharacteristic
1437#97—611no—
1438#97—611no—
1439C4×C8—611no—
1440C4×C8—611no—
1441C24—611no—
1442C24—1221no—
1443C24—1221no—
1444C24—1221no—
1445C24—1221no—
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—41no—
1451#41—41no—
1452#41—1222no—
1453#41—1222no—
1454#41—1222no—
1455#41—1222no—
1456#41—1222no—
1457#41—1222no—
1458#41—2441no—
1459#41—2441no—
1460#41—2444no—
1461#41—2441no—
1462#41—2441no—
1463#41—2441no—
1464#41—2441no—
1465#41—2444no—
1466#41—2444no—
1467C2×Q8—611no—
1468C2×Q8—611no—
1469C2×Q8—611no—
1470C2×Q8—1221no—
1471C2×Q8—1221no—
1472C2×Q8—1221no—
1473C2×Q8—1221no—
1474C2×Q8—1222no—
1475C2×Q8—2441no—
1476C2×Q8—2441no—
1477C2×Q8—2441no—
1478C2×Q8—2441no—
1479C2×Q8—2441no—
1480C2×Q8D4×D6111yescharacteristic
1481C2×Q8C23×D6111yescharacteristic
1482C2×Q8C23×D6111yescharacteristic
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—611no—
1490C2×D4—611no—
1491C2×D4—611no—
1492C2×D4—611no—
1493C2×D4—611no—
1494C2×D4—611no—
1495C2×D4—611no—
1496C2×D4—1222no—
1497C2×D4—1222no—
1498C2×D4—1221no—
1499C2×D4—1221no—
1500C2×D4—1221no—
1501C2×D4—1221no—
1502C2×D4—1221no—
1503C2×D4—1221no—
1504C2×D4—1221no—
1505C2×D4—1221no—
1506C2×D4—1221no—
1507C2×D4—1221no—
1508C2×D4—1222no—
1509C2×D4—1221no—
1510C2×D4—1221no—
1511C2×D4—1221no—
1512C2×D4—1221no—
1513C2×D4—1221no—
1514C2×D4—1221no—
1515C2×D4—1221no—
1516C2×D4—1221no—
1517C2×D4—1221no—
1518C2×D4—4882no—
1519C2×D4—4882no—
1520C2×D4—4882no—
1521C2×D4—2441no—
1522C2×D4—2441no—
1523C2×D4—2441no—
1524C2×D4—2441no—
1525C2×D4—2441no—
1526C2×D4—2444no—
1527C2×D4—2444no—
1528C2×D4—2444no—
1529C2×D4—2444no—
1530C2×D4D4×D6111yescharacteristic
1531C2×D4D4×D6111yescharacteristic
1532C2×D4D4×D6111yescharacteristic
1533C2×D4C23×D6111yescharacteristic
1534C2×D4C23×D6111yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—611no—
1540C22×C4—611no—
1541C22×C4—611no—
1542C22×C4—611no—
1543C22×C4—611no—
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—2441no—
1558C22×C4—2441no—
1559C22×C4—2444no—
1560C22×C4C23×D6111yescharacteristic
1561C22×C4C23×D6111yescharacteristic
1562C22×C4C23×D6111yescharacteristic
1563Q16—41no—
1564Q16—1222no—
1565Q16—1222no—
1566Q16—1222no—
1567Q16—2441no—
1568Q16—2441no—
1569SD16—41no—
1570SD16—41no—
1571SD16—1222no—
1572SD16—1222no—
1573SD16—1222no—
1574SD16—1222no—
1575SD16—2441no—
1576SD16—2441no—
1577SD16—2441no—
1578SD16—2441no—
1579SD16—2441no—
1580SD16—2441no—
1581SD16—2441no—
1582SD16—2441no—
1583D8—41no—
1584D8—1222no—
1585D8—2441no—
1586D8—2441no—
1587M16—41no—
1588M16—2441no—
1589M16—2441no—
1590M16—2441no—
1591M16—2441no—
1592M16—2441no—
1593C2×C8—41no—
1594C2×C8—611no—
1595C2×C8—611no—
1596C2×C8—611no—
1597C2×C8—611no—
1598C2×C8—2441no—
1599C2×C8C23×D6111yescharacteristic
1600C2×C8C23×D6111yescharacteristic
1601C2×C8C23×D6111yescharacteristic
1602C2×C8C23×D6111yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—611no—
1610C4⋊C4—611no—
1611C4⋊C4—611no—
1612C4⋊C4—611no—
1613C4⋊C4—611no—
1614C4⋊C4—611no—
1615C4⋊C4—611no—
1616C4⋊C4—611no—
1617C4⋊C4—1221no—
1618C4⋊C4—1221no—
1619C4⋊C4—1221no—
1620C4⋊C4—1221no—
1621C4⋊C4—1221no—
1622C4⋊C4—1221no—
1623C4⋊C4—1221no—
1624C4⋊C4—1221no—
1625C4⋊C4—1221no—
1626C4⋊C4—1221no—
1627C4⋊C4—1221no—
1628C4⋊C4—1221no—
1629C4⋊C4—1221no—
1630C4⋊C4—1221no—
1631C4⋊C4—1221no—
1632C4⋊C4—1221no—
1633C4⋊C4—1221no—
1634C4⋊C4—1221no—
1635C4⋊C4C23×D6111yescharacteristic
1636C4⋊C4C23×D6111yescharacteristic
1637C4⋊C4C23×D6111yescharacteristic
1638C4⋊C4C23×D6111yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—611no—
1648C22⋊C4—611no—
1649C22⋊C4—611no—
1650C22⋊C4—611no—
1651C22⋊C4—611no—
1652C22⋊C4—611no—
1653C22⋊C4—611no—
1654C22⋊C4—611no—
1655C22⋊C4—611no—
1656C22⋊C4—611no—
1657C22⋊C4—1221no—
1658C22⋊C4—1221no—
1659C22⋊C4—1221no—
1660C22⋊C4—1221no—
1661C22⋊C4—1221no—
1662C22⋊C4—1221no—
1663C22⋊C4—1221no—
1664C22⋊C4—1221no—
1665C22⋊C4—1221no—
1666C22⋊C4—1221no—
1667C22⋊C4—1221no—
1668C22⋊C4—1221no—
1669C22⋊C4—1221no—
1670C22⋊C4—1221no—
1671C22⋊C4—1221no—
1672C22⋊C4—1221no—
1673C22⋊C4—1221no—
1674C22⋊C4—1221no—
1675C22⋊C4—1221no—
1676C22⋊C4—1221no—
1677C22⋊C4—1221no—
1678C22⋊C4—1221no—
1679C22⋊C4—1221no—
1680C42—611no—
1681C42—611no—
1682C42—1221no—
1683C42—1221no—
1684C42—1221no—
1685C42—1221no—
1686C42—1221no—
1687C42—1221no—
1688C42—1221no—
1689C23—21no—
1690C23—21no—
1691C23—611no—
1692C23—611no—
1693C23—1221no—
1694C23—1221no—
1695C23—1221no—
1696C23—4881no—
1697C23—4881no—
1698C23—4881no—
1699C23—4881no—
1700C23—4881no—
1701C23—4881no—
1702C23—4881no—
1703C23—2441no—
1704C23—2441no—
1705C23—2441no—
1706C23—2442no—
1707C23—2442no—
1708C23—2442no—
1709C23—2442no—
1710C23—2442no—
1711C23C2×D4×D6111yescharacteristic
1712C23C2×D4×D6111yescharacteristic
1713C23C2×D4×D6111yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—41no—
1719Q8—612no—
1720Q8—1221no—
1721Q8—1221no—
1722Q8—1221no—
1723Q8—1221no—
1724Q8—1221no—
1725Q8—4881no—
1726Q8—4881no—
1727Q8—4881no—
1728Q8—2442no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—41no—
1734D4—41no—
1735D4—41no—
1736D4—42no—
1737D4—81no—
1738D4—81no—
1739D4—81no—
1740D4—81no—
1741D4—81no—
1742D4—612no—
1743D4—1224no—
1744D4—1221no—
1745D4—1221no—
1746D4—1221no—
1747D4—1221no—
1748D4—1221no—
1749D4—4881no—
1750D4—4881no—
1751D4—4881no—
1752D4—4881no—
1753D4—4881no—
1754D4—4881no—
1755D4—4881no—
1756D4—2442no—
1757D4—2442no—
1758D4—2442no—
1759D4—2442no—
1760D4—2442no—
1761D4—2442no—
1762D4—2441no—
1763D4—2441no—
1764D4—2441no—
1765D4—2441no—
1766D4—2442no—
1767D4—2442no—
1768D4—2442no—
1769D4—2442no—
1770D4—2442no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—42no—
1784C2×C4—81no—
1785C2×C4—81no—
1786C2×C4—81no—
1787C2×C4—611no—
1788C2×C4—611no—
1789C2×C4—611no—
1790C2×C4—611no—
1791C2×C4—611no—
1792C2×C4—611no—
1793C2×C4—1224no—
1794C2×C4—1221no—
1795C2×C4—1221no—
1796C2×C4—1221no—
1797C2×C4—1221no—
1798C2×C4—1221no—
1799C2×C4—1221no—
1800C2×C4—1221no—
1801C2×C4—1221no—
1802C2×C4—1221no—
1803C2×C4—4881no—
1804C2×C4—4881no—
1805C2×C4—4881no—
1806C2×C4—4881no—
1807C2×C4—4881no—
1808C2×C4—4881no—
1809C2×C4—4881no—
1810C2×C4—2441no—
1811C2×C4—2441no—
1812C2×C4—2442no—
1813C2×C4—2442no—
1814C2×C4—2442no—
1815C2×C4—2442no—
1816C2×C4—2441no—
1817C2×C4—2442no—
1818C2×C4C2×D4×D6111yescharacteristic
1819C2×C4C2×D4×D6111yescharacteristic
1820C2×C4C2×D4×D6111yescharacteristic
1821C2×C4C24×D6111yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1221no—
1827C8—1221no—
1828C8—1221no—
1829C8—1221no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—1221no—
1846C22—1221no—
1847C22—1221no—
1848C22—1221no—
1849C22—1221no—
1850C22—1221no—
1851C22—1222no—
1852C22—9762no—
1853C22—9762no—
1854C22—9762no—
1855C22—4882no—
1856C22—4884no—
1857C22—2441no—
1858C22—2441no—
1859C22—2441no—
1860C22—2441no—
1861C22—2441no—
1862C22—2441no—
1863C22—2441no—
1864C22—2441no—
1865C22C22×D4×D6111yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—1221no—
1876C4—1221no—
1877C4—1221no—
1878C4—1221no—
1879C4—1221no—
1880C4—1221no—
1881C4—1222no—
1882C4—2441no—
1883C4—2441no—
1884C4—2441no—
1885C4—2441no—
1886C4H(5,𝔽2)×D6111yescharacteristic
1887C4H(5,𝔽2)×D6111yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—81no—
1892C2—81no—
1893C2—4881no—
1894C2—4881no—
1895C2—2441no—
1896C2—2441no—
1897C2—2442no—
1898C2#2145945111yescharacteristic
1899C2#2146059411yescharacteristic
1900C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3203C2
socleC22×C61C23×D4
hypercenter#3203D61
hypocenterC61#61654
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3203

Complements

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

NH ≅ G/Ntype
1. #21460100C2semidirect
2. #21459483C2semidirect
3. #21458155C2semidirect
4. #21458090C2semidirect
5. #21458045C2semidirect
6. #21458026C2semidirect
7. #21457898C2semidirect
8. #21457891C2semidirect
9. #21457838C2semidirect
10. #21457831C2semidirect
11. #21457482C2semidirect
12. #21457473C2semidirect
13. #21457443C2semidirect
14. #21457412C2semidirect
15. #21457397C2semidirect
16. #21457378C2semidirect
17. #21457326C2semidirect
18. #21457311C2semidirect
19. #21456911C2semidirect
20. #21456889C2semidirect
21. #21456695C2semidirect
22. #21456632C2semidirect
23. #21456624C2semidirect
24. #21456076C2semidirect
25. #21456028C2semidirect
26. #21455120C2semidirect
27. #21455098C2semidirect
28. #21455076C2semidirect
29. #21455057C2semidirect
30. #21454877C2semidirect
31. C61×#3203C2semidirect
34. C2×#14519810C22semidirect
35. C2×#14519809C22semidirect
36. C2×#14519806C22semidirect
37. C2×#14519806C22semidirect
38. C2×#14519802C22semidirect
39. C2×#14519801C22semidirect
40. C2×#14519797C22semidirect
41. C22×#11758190C22semidirect
44. #16840483C22semidirect
45. #16840467C22semidirect
48. #16840459C22semidirect
49. #16840447C22semidirect
52. #16840425C22semidirect
55. #16840419C22semidirect
56. #16840418C22semidirect
57. #16840411C22semidirect
67. #16840379C22semidirect
68. #16840372C22semidirect
73. #16840333C22semidirect
77. #16840272C22semidirect
79. C22⋊Q8×D61C22semidirect
83. #16840155C22semidirect
84. #16840150C22semidirect
85. #16840143C22semidirect
86. #16840133C22semidirect
87. #16840125C22semidirect
88. #16840123C22semidirect
89. #16840118C22semidirect
90. #16840107C22semidirect
91. #16840100C22semidirect
92. #16840097C22semidirect
93. #16840092C22semidirect
94. #16840089C22semidirect
95. #16840089C22semidirect
96. #16840083C22semidirect
97. #16840077C22semidirect
98. #16840077C22semidirect
99. #16840068C22semidirect
100. #16840065C22semidirect
101. #16840056C22semidirect
102. #16840041C22semidirect
103. #16840018C22semidirect
104. #16840014C22semidirect
105. #16840014C22semidirect
106. #16840011C22semidirect
107. #16840011C22semidirect
108. #16840009C22semidirect
109. #16840009C22semidirect
110. #16840009C22semidirect
111. #16840009C22semidirect
112. #16840006C22semidirect
113. #16840001C22semidirect
114. #16839989C22semidirect
115. #16839987C22semidirect
116. #16839987C22semidirect
117. #16839986C22semidirect
118. #16839983C22semidirect
119. #16839979C22semidirect
120. #16839976C22semidirect
121. #16839971C22semidirect
122. #16839966C22semidirect
123. #16839961C22semidirect
124. #16839961C22semidirect
125. #16839960C22semidirect
126. #16839955C22semidirect
127. #16839927C22semidirect
130. #16839926C22semidirect
131. #16839926C22semidirect
132. #16839925C22semidirect
133. #16839924C22semidirect
134. #16839924C22semidirect
136. #16839922C22semidirect
137. #16839919C22semidirect
138. #16839917C22semidirect
139. #16839916C22semidirect
140. #16839915C22semidirect
141. #16839915C22semidirect
142. #16839915C22semidirect
143. #16839915C22semidirect
144. #16839914C22semidirect
145. #16839912C22semidirect
146. #16839912C22semidirect
147. #16839911C22semidirect
148. #16839908C22semidirect
149. #16839908C22semidirect
150. #16839906C22semidirect
152. #16839905C22semidirect
153. #16839904C22semidirect
154. #16839902C22semidirect
155. #16839902C22semidirect
156. #16839900C22semidirect
157. #16839895C22semidirect
158. #16839895C22semidirect
159. #16839866C22semidirect
160. #16839861C22semidirect
161. #16839861C22semidirect
162. #16839859C22semidirect
163. #16839856C22semidirect
164. #16839856C22semidirect
165. #16839847C22semidirect
166. #16839842C22semidirect
167. #16839838C22semidirect
168. #16839838C22semidirect
169. #16839837C22semidirect
170. #16839837C22semidirect
171. #16839833C22semidirect
172. #16839833C22semidirect
173. #16839830C22semidirect
174. #16839830C22semidirect
175. #16839820C22semidirect
176. #16839820C22semidirect
177. #16839769C22semidirect
178. #16839768C22semidirect
179. #16839765C22semidirect
180. #16839762C22semidirect
181. #16839761C22semidirect
182. #16839760C22semidirect
183. #16839759C22semidirect
184. C2×#14519697C22semidirect
185. #16839729C22semidirect
186. #16839724C22semidirect
187. #16839724C22semidirect
189. C61×#537C22semidirect
190. C61×#484C22semidirect
191. C61×#484C22semidirect
192. C61×#480C22semidirect
193. C61×#480C22semidirect
194. C61×#468C22semidirect
195. C61×#468C22semidirect
196. C61×#467C22semidirect
197. C61×#466C22semidirect
198. C61×#452C22semidirect
199. C61×#452C22semidirect
200. C61×#449C22semidirect
201. C61×#449C22semidirect
202. C61×#408C22semidirect
958. #3203D61semidirect
1024. #537C2×D61semidirect
1045. #484C2×D61semidirect
1046. #484C2×D61semidirect
1053. #480C2×D61semidirect
1054. #480C2×D61semidirect
1069. #468C2×D61semidirect
1070. #468C2×D61semidirect
1072. #467C2×D61semidirect
1073. #466C2×D61semidirect
1097. #452C2×D61semidirect
1098. #452C2×D61semidirect
1116. #449C2×D61semidirect
1117. #449C2×D61semidirect
1150. #408C2×D61semidirect
1153. C61#61654semidirect

Maximal subgroups

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

subgroupindex
#214601002
#214594832
#214581552
#214580902
#214580452
#214580262
#214578982
#214578912
#214578382
#214578312
#214574822
#214574732
#214574432
#214574122
#214573972
#214573782
#214573262
#214573112
#214569112
#214568892
#214566952
#214566322
#214566242
#214560762
#214560282
#214551202
#214550982
#214550762
#214550572
#214548772
C61×#32032
#6165461