Finite Group Databasebeta

← #30566103

Subgroups — #30566103

Order 15616.

2222 conjugacy classes of subgroups.

The subgroup lattice has 1926 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460060C211yesmaximal, characteristic, complemented
2#21459449C211yesmaximal, characteristic
3#21457845C211yesmaximal, characteristic, complemented
4#21457844C211yesmaximal, characteristic, complemented
5#21457842C211yesmaximal, characteristic, complemented
6#21457835C211yesmaximal, characteristic, complemented
7#21457661C211yesmaximal, characteristic, complemented
8#21457660C211yesmaximal, characteristic, complemented
9#21457654C211yesmaximal, characteristic, complemented
10#21457647C211yesmaximal, characteristic, complemented
11#21457518C211yesmaximal, characteristic, complemented
12D4×#11758201C211yesmaximal, characteristic, complemented
13SD16×C22⋊D61C211yesmaximal, characteristic, complemented
14#21457508C211yesmaximal, characteristic, complemented
15#21457328C211yesmaximal, characteristic, complemented
16#21457323C211yesmaximal, characteristic, complemented
17#21457322C211yesmaximal, characteristic, complemented
18#21456888C211yesmaximal, characteristic, complemented
19#21456886C211yesmaximal, characteristic, complemented
20#21456689C211yesmaximal, characteristic, complemented
21#21456687C211yesmaximal, characteristic, complemented
22#21456603C211yesmaximal, characteristic, complemented
23#21456601C211yesmaximal, characteristic, complemented
24#21456070C211yesmaximal, characteristic, complemented
25#21456069C211yesmaximal, characteristic, complemented
26#21455095C211yesmaximal, characteristic, complemented
27#21455093C211yesmaximal, characteristic, complemented
28C2×#16839911C211yesmaximal, characteristic, complemented
29#450×D61C211yesmaximal, characteristic, complemented
30#21454870C211yesmaximal, characteristic, complemented
31C61×#3266C211yesmaximal, characteristic, complemented
32C2×#14519823C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C2×#14519809C2211yescharacteristic, complemented
35C22×#11758201C2211yescharacteristic, complemented
36C22×#11758201C2211yescharacteristic, complemented
37C2×SD16×D61C2211yescharacteristic, complemented
38C2×SD16×D61C2211yescharacteristic, complemented
39C2×SD16×D61C2211yescharacteristic, complemented
40#16840513—21no—
41#16840511—21no—
42#16840454C2211yescharacteristic, complemented
43#16840453C2211yescharacteristic, complemented
44#16840452C2211yescharacteristic, complemented
45#16840446C2211yescharacteristic, complemented
46#16840441—21no—
47#16840439—21no—
48#16840427C2211yescharacteristic, complemented
49Q8×C22⋊D61C2211yescharacteristic, complemented
50Q8×C22⋊D61C2211yescharacteristic, complemented
51#16840405C2211yescharacteristic
52#16840404—21no—
53#16840403C2211yescharacteristic
54#16840402—21no—
55#16840400C2211yescharacteristic
56D4×D244C2211yescharacteristic
57D4×D244C2211yescharacteristic
58#16840396—21no—
59#16840396C2211yescharacteristic
60D4×C22⋊D61C2211yescharacteristic
61#16840394—21no—
62#16840391—21no—
63#16840389—21no—
64#16840373C2211yescharacteristic, complemented
65#16840370C2211yescharacteristic, complemented
66#16840358—21no—
67#16840354—21no—
68#16840336C2211yescharacteristic, complemented
69#16840335C2211yescharacteristic, complemented
70#16840330C2211yescharacteristic
71#16840328C2211yescharacteristic
72#16840323—21no—
73#16840320—21no—
74#16840275C2211yescharacteristic
75#16840271C2211yescharacteristic
76C2×#14519753C2211yescharacteristic, complemented
77C22⋊Q8×D61C2211yescharacteristic, complemented
78C2×#14519747—21no—
79#120×D61—21no—
80#16840234C2211yescharacteristic
81#16840155C2211yescharacteristic, complemented
82#16840136C2211yescharacteristic, complemented
83#16840133C2211yescharacteristic, complemented
84#16840127C2211yescharacteristic, complemented
85#16840125C2211yescharacteristic, complemented
86#16840118C2211yescharacteristic, complemented
87#16840116C2211yescharacteristic, complemented
88#16840105C2211yescharacteristic, complemented
89#16840102C2211yescharacteristic, complemented
90#16840102C2211yescharacteristic, complemented
91#16840101C2211yescharacteristic, complemented
92#16840091C2211yescharacteristic, complemented
93#16840090C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic, complemented
95#16840087C2211yescharacteristic, complemented
96#16840084C2211yescharacteristic, complemented
97#16840083C2211yescharacteristic, complemented
98#16840077C2211yescharacteristic, complemented
99#16840076C2211yescharacteristic, complemented
100#16840065C2211yescharacteristic, complemented
101#16840063C2211yescharacteristic, complemented
102#16840062C2211yescharacteristic, complemented
103#16840060C2211yescharacteristic, complemented
104#16840011C2211yescharacteristic, complemented
105#16840008C2211yescharacteristic, complemented
106#16840005C2211yescharacteristic, complemented
107#16840001C2211yescharacteristic, complemented
108#16840000C2211yescharacteristic, complemented
109#16840000C2211yescharacteristic, complemented
110#16839994C2211yescharacteristic, complemented
111#16839994C2211yescharacteristic, complemented
112#16839994C2211yescharacteristic, complemented
113#16839993C2211yescharacteristic, complemented
114#16839993C2211yescharacteristic, complemented
115#16839991C2211yescharacteristic, complemented
116#16839989C2211yescharacteristic, complemented
117#16839988C2211yescharacteristic, complemented
118#16839986C2211yescharacteristic, complemented
119#16839986C2211yescharacteristic, complemented
120#16839981C2211yescharacteristic, complemented
121#16839966C2211yescharacteristic, complemented
122#16839965C2211yescharacteristic, complemented
123#16839964C2211yescharacteristic, complemented
124#16839963C2211yescharacteristic, complemented
125#16839962C2211yescharacteristic, complemented
126#16839960C2211yescharacteristic, complemented
127#16839960C2211yescharacteristic, complemented
128#16839927C2211yescharacteristic, complemented
129#16839924C2211yescharacteristic, complemented
130#16839923C2211yescharacteristic, complemented
131#16839923C2211yescharacteristic, complemented
132#16839923C2211yescharacteristic, complemented
133#16839923C2211yescharacteristic, complemented
134#16839923C2211yescharacteristic, complemented
135#16839916C2211yescharacteristic, complemented
136#16839915C2211yescharacteristic, complemented
137#16839915C2211yescharacteristic, complemented
138#16839914C2211yescharacteristic
139#16839914C2211yescharacteristic, complemented
140#16839913C2211yescharacteristic, complemented
141#16839912C2211yescharacteristic, complemented
142#16839912C2211yescharacteristic, complemented
143#16839911C2211yescharacteristic
144#16839911C2211yescharacteristic
145#16839911C2211yescharacteristic
146#16839911C2211yescharacteristic, complemented
147#16839911C2211yescharacteristic, complemented
148#16839911C2211yescharacteristic, complemented
149#16839911C2211yescharacteristic, complemented
150#16839911C2211yescharacteristic, complemented
151#16839911C2211yescharacteristic, complemented
152#16839911C2211yescharacteristic, complemented
153#16839911C2211yescharacteristic, complemented
154#16839911C2211yescharacteristic, complemented
155#16839902C2211yescharacteristic, complemented
156#16839902C2211yescharacteristic, complemented
157#16839901C2211yescharacteristic, complemented
158#16839901C2211yescharacteristic, complemented
159#16839899C2211yescharacteristic, complemented
160#16839865C2211yescharacteristic, complemented
161#16839864C2211yescharacteristic, complemented
162#16839863C2211yescharacteristic, complemented
163SD16×Dic61C2211yescharacteristic, complemented
164C4×#11758201C2211yescharacteristic, complemented
165C4×#11758200C2211yescharacteristic, complemented
166#16839847C2211yescharacteristic, complemented
167#16839835C2211yescharacteristic, complemented
168#16839831C2211yescharacteristic, complemented
169#16839830C2211yescharacteristic, complemented
170D4×#92418C2211yescharacteristic, complemented
171#16839827C2211yescharacteristic, complemented
172C8×C22⋊D61C2211yescharacteristic, complemented
173#16839825C2211yescharacteristic, complemented
174#16839824C2211yescharacteristic, complemented
175#16839822C2211yescharacteristic, complemented
176#16839768C2211yescharacteristic, complemented
177#16839765C2211yescharacteristic, complemented
178#16839758C2211yescharacteristic, complemented
179#16839757C2211yescharacteristic, complemented
180C2×#14519699C2211yescharacteristic, complemented
181C2×#14519698C2211yescharacteristic, complemented
182#102×D61C2211yescharacteristic, complemented
183#102×D61C2211yescharacteristic, complemented
184#16839730C2211yescharacteristic, complemented
185#16839727C2211yescharacteristic, complemented
186C2×#14519689C2211yescharacteristic, complemented
187C22⋊C8×D61C2211yescharacteristic, complemented
188C2×#137×C61C2211yescharacteristic, complemented
189C22×SD16×C61C2211yescharacteristic, complemented
190D4×Q8×C61C2211yescharacteristic, complemented
191C61×#546C2211yescharacteristic
192C61×#497C2211yescharacteristic, complemented
193C61×#468C2211yescharacteristic, complemented
194C61×#467C2211yescharacteristic, complemented
195C61×#464C2211yescharacteristic, complemented
196C61×#461C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#451C2211yescharacteristic, complemented
199C61×#450C2211yescharacteristic, complemented
200C61×#448C2211yescharacteristic, complemented
201C61×#440C2211yescharacteristic, complemented
202C61×#435C2211yescharacteristic, complemented
203C24×D61—21no—
204#14519823—42no—
205#14519823—42no—
206C2×#11758226C2311yescharacteristic
207C2×#11758226C2311yescharacteristic
208C2×#11758222—21no—
209C2×#11758222C2311yescharacteristic
210C2×Q8×D61C2311yescharacteristic
211C2×Q8×D61C2311yescharacteristic, complemented
212C22×D244—21no—
213C22×D244—21no—
214C22×D244C2311yescharacteristic
215C22×D244C2311yescharacteristic
216C22×C22⋊D61—21no—
217C22×C22⋊D61—21no—
218C2×D4×D61—21no—
219C2×D4×D61—21no—
220C2×D4×D61—21no—
221C2×D4×D61—21no—
222C2×D4×D61—21no—
223C2×D4×D61—21no—
224C2×D4×D61—42no—
225C2×D4×D61—42no—
226C2×D4×D61C2311yescharacteristic
227C2×D4×D61C2311yescharacteristic
228C2×D4×D61C2311yescharacteristic
229C2×D4×D61C2311yescharacteristic
230C2×D4×D61C2311yescharacteristic
231C22×C4×D61C2311yescharacteristic
232#14519809—42no—
233C2×#11758202C2311yescharacteristic, complemented
234C2×#11758190C2311yescharacteristic
235C2×#11758190C2311yescharacteristic
236C2×#11758190C2311yescharacteristic, complemented
237C2×#11758200C2311yescharacteristic
238C2×#11758200C2311yescharacteristic
239C2×#11758201—42no—
240C2×#11758201—42no—
241C2×#11758201C2311yescharacteristic
242C2×#11758201C2311yescharacteristic
243C2×#11758201C2311yescharacteristic
244C2×#11758201C2311yescharacteristic
245C2×#11758201C2311yescharacteristic
246C2×#11758201C2311yescharacteristic
247C2×#11758201C2311yescharacteristic, complemented
248C2×#11758201C2311yescharacteristic, complemented
249C2×#11758201C2311yescharacteristic, complemented
250SD16×D61—42no—
251SD16×D61—42no—
252SD16×D61—42no—
253C2×#11758189C2311yescharacteristic, complemented
254C22×#92418C2311yescharacteristic
255C22×#92418C2311yescharacteristic, complemented
256C2×C8×D61C2311yescharacteristic
257C2×C8×D61C2311yescharacteristic
258C2×C8×D61C2311yescharacteristic, complemented
259#14519776—21no—
260#14519776—21no—
261#14519775—21no—
262#14519775—21no—
263#14519775—21no—
264#14519775C2311yescharacteristic, complemented
265#14519774C2311yescharacteristic
266#14519773—21no—
267#14519773C2311yescharacteristic
268#14519772—21no—
269#14519772—21no—
270#14519772—21no—
271#14519772—21no—
272#14519771—21no—
273#14519771—21no—
274#14519770—21no—
275#14519770—21no—
276#14519769—21no—
277#14519769C2311yescharacteristic, complemented
278#14519768—21no—
279#14519768C2311yescharacteristic, complemented
280#14519767—21no—
281#14519767—21no—
282#14519767—21no—
283#14519767—21no—
284#14519767—21no—
285#14519767—21no—
286#14519766—21no—
287#14519766C2311yescharacteristic
288#14519763—21no—
289#14519763—21no—
290#14519762—21no—
291#14519762—21no—
292#14519762—21no—
293#14519762—21no—
294#14519762D411yescharacteristic
295#14519761—21no—
296#14519760—21no—
297#14519760—21no—
298#14519760—21no—
299#14519759—21no—
300#14519759—21no—
301#14519759—21no—
302#14519759D411yescharacteristic
303#14519758—21no—
304#14519757C2311yescharacteristic
305#14519756—21no—
306#14519756—21no—
307#14519756C2311yescharacteristic
308#14519756C2311yescharacteristic, complemented
309#14519755—21no—
310#14519755—21no—
311#14519755—21no—
312#14519755D411yescharacteristic
313#14519754—21no—
314#14519754D411yescharacteristic
315#14519753—21no—
316#14519753—21no—
317#14519753—21no—
318#14519753—21no—
319#14519753C2311yescharacteristic
320#14519753C2311yescharacteristic
321#14519753C2311yescharacteristic
322#14519753C2311yescharacteristic
323#14519753C2311yescharacteristic
324#14519753C2311yescharacteristic
325#14519753C2311yescharacteristic, complemented
326#14519753C2311yescharacteristic, complemented
327#14519752—21no—
328#14519752—21no—
329#14519752C2311yescharacteristic
330#14519752C2311yescharacteristic
331#14519751—21no—
332#14519751C2311yescharacteristic
333#14519751C2311yescharacteristic
334#14519750—21no—
335#14519750—21no—
336#14519750—21no—
337#14519750—21no—
338#14519750D411yescharacteristic
339#14519749—21no—
340#14519749—21no—
341#14519749D411yescharacteristic
342#14519748C2311yescharacteristic
343#14519747—21no—
344#14519747—21no—
345#14519747—21no—
346#14519747—21no—
347#14519747—21no—
348#14519747—21no—
349#14519747—21no—
350#14519747—21no—
351#14519747—21no—
352#14519747—21no—
353#14519747—21no—
354#14519747D411yescharacteristic
355#14519746—21no—
356#14519745—21no—
357#14519745—21no—
358#14519745—21no—
359#14519745—21no—
360#14519745D411yescharacteristic
361Q8×Dic61C2311yescharacteristic, complemented
362Q8×Dic61C2311yescharacteristic, complemented
363C4×Dic122C2311yescharacteristic, complemented
364C4×D244C2311yescharacteristic
365C4×D244C2311yescharacteristic
366D4×Dic61C2311yescharacteristic
367#14519739—21no—
368#14519739—21no—
369#14519739C2311yescharacteristic
370C4×C22⋊D61—21no—
371C4×C22⋊D61—21no—
372C4×C22⋊D61—21no—
373C4×C22⋊D61C2311yescharacteristic
374C4×C22⋊D61C2311yescharacteristic
375#14519737—21no—
376#14519737—21no—
377#14519736C2311yescharacteristic, complemented
378#14519735—21no—
379#14519735C2311yescharacteristic
380#14519735C2311yescharacteristic, complemented
381#14519734—21no—
382#14519734C2311yescharacteristic
383#14519733—21no—
384#14519733—21no—
385C2×C4⋊Dic61C2311yescharacteristic
386C2×#11758196—21no—
387C4⋊C4×D61—21no—
388C4⋊C4×D61C2311yescharacteristic
389C2×#11758198—21no—
390C2×#11758198—21no—
391C2×#11758198—21no—
392C22⋊C4×D61—21no—
393C22⋊C4×D61—21no—
394C22⋊C4×D61—21no—
395C22⋊C4×D61—21no—
396#14519711C2311yescharacteristic, complemented
397#14519711C2311yescharacteristic, complemented
398#14519710C2311yescharacteristic, complemented
399#14519709C2311yescharacteristic, complemented
400#14519708C2311yescharacteristic, complemented
401#14519708C2311yescharacteristic, complemented
402#14519708C2311yescharacteristic, complemented
403C4⋊#92418C2311yescharacteristic, complemented
404#14519706C2311yescharacteristic, complemented
405#14519706C2311yescharacteristic, complemented
406#14519702C2311yescharacteristic, complemented
407#14519701C2311yescharacteristic, complemented
408#14519701C2311yescharacteristic, complemented
409#14519701C2311yescharacteristic, complemented
410#14519701C2311yescharacteristic, complemented
411#14519701C2311yescharacteristic, complemented
412#14519701C2311yescharacteristic, complemented
413#14519700C2311yescharacteristic, complemented
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic, complemented
421#14519699C2311yescharacteristic, complemented
422#14519699C2311yescharacteristic, complemented
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic, complemented
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic, complemented
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic, complemented
441#14519689C2311yescharacteristic, complemented
442#14519687C2311yescharacteristic, complemented
443C4×#92418C2311yescharacteristic, complemented
444C8×Dic61C2311yescharacteristic, complemented
445C2×#41×C61C2311yescharacteristic
446C22×Q8×C61C2311yescharacteristic
447C22×Q8×C61C2311yescharacteristic, complemented
448C22×D4×C61C2311yescharacteristic
449#137×C61—42no—
450C2×Q16×C61C2311yescharacteristic, complemented
451C2×Q16×C61C2311yescharacteristic, complemented
452C2×Q16×C61C2311yescharacteristic, complemented
453C2×SD16×C61—42no—
454C2×SD16×C61C2311yescharacteristic
455C2×SD16×C61C2311yescharacteristic
456C2×SD16×C61C2311yescharacteristic
457C2×SD16×C61C2311yescharacteristic
458C2×SD16×C61C2311yescharacteristic
459C2×SD16×C61C2311yescharacteristic
460C2×M16×C61C2311yescharacteristic, complemented
461C22×C8×C61C2311yescharacteristic
462C4⋊Q8×C61—21no—
463C4⋊Q8×C61C2311yescharacteristic, complemented
464#124×C61C2311yescharacteristic
465#123×C61—21no—
466C22⋊Q8×C61—21no—
467C22⋊Q8×C61—21no—
468C22⋊Q8×C61C2311yescharacteristic
469C22⋊Q8×C61C2311yescharacteristic
470C22⋊Q8×C61C2311yescharacteristic, complemented
471#121×C61—21no—
472#121×C61C2311yescharacteristic
473#120×C61—21no—
474C4×Q8×C61C2311yescharacteristic, complemented
475C4×D4×C61—21no—
476C4×D4×C61C2311yescharacteristic
477C4×D4×C61C2311yescharacteristic
478C2×C22⋊C4×C61—21no—
479#107×C61C2311yescharacteristic, complemented
480C4⋊C8×C61C2311yescharacteristic, complemented
481#103×C61C2311yescharacteristic, complemented
482#103×C61C2311yescharacteristic, complemented
483#103×C61C2311yescharacteristic, complemented
484#103×C61C2311yescharacteristic, complemented
485#102×C61C2311yescharacteristic
486#102×C61C2311yescharacteristic
487C22⋊C8×C61C2311yescharacteristic
488C22⋊C8×C61C2311yescharacteristic, complemented
489#97×C61C2311yescharacteristic, complemented
490C24×C61—21no—
491C23×D61—21no—
492C23×D61—21no—
493C23×D61—21no—
494C23×D61—21no—
495C23×D61—21no—
496C23×D61—21no—
497C23×D61—21no—
498C23×D61—44no—
499C23×D61—82no—
500C23×D61—82no—
501C23×D61C2×D411yescharacteristic
502#41×C61—22no—
503#41×C61—41no—
504C2×Q8×C61—21no—
505C2×Q8×C61—21no—
506C2×Q8×C61—41no—
507C2×Q8×C61—41no—
508C2×Q8×C61—41no—
509C2×Q8×C61—41no—
510C2×Q8×C61C2411yescharacteristic
511C2×Q8×C61C2411yescharacteristic
512C2×Q8×C61C2411yescharacteristic
513C2×Q8×C61C2411yescharacteristic
514C2×D4×C61—22no—
515C2×D4×C61—21no—
516C2×D4×C61—21no—
517C2×D4×C61—21no—
518C2×D4×C61—41no—
519C2×D4×C61C2×D411yescharacteristic
520C2×D4×C61C2411yescharacteristic
521C2×D4×C61C2411yescharacteristic
522C22×C4×C61—21no—
523C22×C4×C61—21no—
524C22×C4×C61—21no—
525C22×C4×C61—21no—
526C22×C4×C61C2411yescharacteristic
527C22×C4×C61C2411yescharacteristic
528C2×C22⋊D61—21no—
529C2×C22⋊D61—21no—
530C2×C22⋊D61—21no—
531C2×C22⋊D61—21no—
532C2×C22⋊D61—21no—
533C2×C22⋊D61—21no—
534C2×C22⋊D61—21no—
535C2×C22⋊D61—21no—
536C2×C22⋊D61—21no—
537C2×C22⋊D61—21no—
538C2×C22⋊D61—44no—
539C2×C22⋊D61—82no—
540C2×C22⋊D61C2×D411yescharacteristic
541C2×C22⋊D61C2×D411yescharacteristic
542C2×C22⋊D61C2×D411yescharacteristic
543C2×C22⋊D61C2×D411yescharacteristic
544C22×Dic61—21no—
545C22×Dic61—21no—
546C22×Dic61C2×D411yescharacteristic
547#11758226—22no—
548#11758226—41no—
549#11758226—41no—
550#11758226—41no—
551Q8×D61—41no—
552Q8×D61—41no—
553Q8×D61—41no—
554Q8×D61—41no—
555D4×D61—22no—
556D4×D61—22no—
557D4×D61—22no—
558D4×D61—22no—
559D4×D61—22no—
560D4×D61—41no—
561D4×D61—41no—
562D4×D61—41no—
563D4×D61—41no—
564D4×D61—41no—
565D4×D61—44no—
566D4×D61—44no—
567D4×D61—44no—
568D4×D61—44no—
569D4×D61—82no—
570D4×D61—82no—
571#11758222—41no—
572#11758222—41no—
573#11758222—44no—
574C2×D244—22no—
575C2×D244—22no—
576C2×D244—21no—
577C2×D244—21no—
578C2×D244—21no—
579C2×D244—21no—
580C2×D244—21no—
581C2×D244—21no—
582C2×D244—21no—
583C2×D244—21no—
584C2×D244—41no—
585C2×D244—41no—
586C2×D244—44no—
587C2×D244—82no—
588C2×D244C2×D411yescharacteristic
589C2×D244C2×D411yescharacteristic
590C2×D244C2411yescharacteristic
591C2×D244C2411yescharacteristic
592C2×D244C2411yescharacteristic
593C2×C4×D61—21no—
594C2×C4×D61—21no—
595C2×C4×D61—21no—
596C2×C4×D61—21no—
597C2×C4×D61—21no—
598C2×C4×D61—21no—
599C2×C4×D61—21no—
600C2×C4×D61—41no—
601C2×C4×D61—41no—
602C2×C4×D61C2×D411yescharacteristic
603C2×C4×D61C2×D411yescharacteristic
604C2×C4×D61C2411yescharacteristic
605C2×C4×D61C2411yescharacteristic
606C2×C4×D61C2411yescharacteristic
607C2×Dic122—21no—
608C2×Dic122—21no—
609C2×Dic122C2×D411yescharacteristic
610C2×Dic122C2411yescharacteristic
611Q16×C61—41no—
612Q16×C61—41no—
613Q16×C61—41no—
614SD16×C61—22no—
615SD16×C61—22no—
616SD16×C61—22no—
617SD16×C61—41no—
618SD16×C61—41no—
619SD16×C61—41no—
620M16×C61—41no—
621C2×C8×C61—41no—
622C2×C8×C61C2411yescharacteristic
623C2×C8×C61C2411yescharacteristic
624C2×C8×C61C2411yescharacteristic
625C2×C8×C61C2411yescharacteristic
626C4⋊C4×C61—21no—
627C4⋊C4×C61—21no—
628C4⋊C4×C61—21no—
629C4⋊C4×C61—21no—
630C4⋊C4×C61—21no—
631C4⋊C4×C61—21no—
632C4⋊C4×C61C2×D411yescharacteristic
633C4⋊C4×C61C2411yescharacteristic
634C4⋊C4×C61C2411yescharacteristic
635C22⋊C4×C61—21no—
636C22⋊C4×C61—21no—
637C22⋊C4×C61—21no—
638C22⋊C4×C61—21no—
639C22⋊C4×C61—21no—
640C22⋊C4×C61—21no—
641C22⋊C4×C61—21no—
642C22⋊C4×C61C2×D411yescharacteristic
643C22⋊C4×C61C2×D411yescharacteristic
644C42×C61—21no—
645C42×C61C2411yescharacteristic
646C22⋊Dic61—21no—
647C22⋊Dic61—21no—
648C22⋊Dic61—21no—
649C22⋊Dic61—21no—
650C22⋊Dic61—21no—
651C22⋊Dic61C2×D411yescharacteristic
652C22⋊Dic61C2×D411yescharacteristic
653#11758202—41no—
654#11758201—22no—
655#11758201—22no—
656#11758201—22no—
657#11758201—41no—
658#11758201—41no—
659#11758201—41no—
660#11758201—41no—
661#11758201—41no—
662#11758201—41no—
663#11758200—22no—
664#11758200—41no—
665#11758198—21no—
666#11758198—21no—
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#11758198—21no—
682#11758198—21no—
683#11758198—21no—
684#11758198C2×D411yescharacteristic
685#11758198C2×D411yescharacteristic
686#11758198C2×D411yescharacteristic
687#11758198C2×D411yescharacteristic
688#11758198C2×D411yescharacteristic
689#11758198C2×D411yescharacteristic
690C4⋊Dic61—21no—
691C4⋊Dic61—21no—
692C4⋊Dic61—21no—
693C4⋊Dic61—21no—
694C4⋊Dic61—21no—
695C4⋊Dic61C2×D411yescharacteristic
696C4⋊Dic61C2411yescharacteristic
697C4⋊Dic61C2411yescharacteristic
698C4⋊Dic61C2411yescharacteristic
699C4⋊Dic61C2411yescharacteristic
700#11758196—21no—
701#11758196—21no—
702#11758196—21no—
703#11758196—21no—
704#11758196—21no—
705#11758196—21no—
706#11758196—21no—
707#11758196—21no—
708#11758196—21no—
709#11758196—21no—
710#11758196—21no—
711#11758196—21no—
712#11758196—21no—
713#11758196—21no—
714#11758196—21no—
715#11758196—21no—
716#11758196—21no—
717#11758196C2×D411yescharacteristic
718#11758196C2×D411yescharacteristic
719#11758196C2×D411yescharacteristic
720#11758196C2×D411yescharacteristic
721C4×Dic61—21no—
722C4×Dic61—21no—
723C4×Dic61—21no—
724C4×Dic61—21no—
725C4×Dic61—21no—
726C4×Dic61—21no—
727C4×Dic61C2411yescharacteristic
728C2×#92418—41no—
729C2×#92418—41no—
730C2×#92418C2411yescharacteristic
731C2×#92418C2411yescharacteristic
732C2×#92418C2411yescharacteristic
733C2×#92418C2411yescharacteristic
734#11758190—22no—
735#11758190—41no—
736#11758190—41no—
737#11758189—41no—
738C8×D61—41no—
739C8×D61—41no—
740C8×D61—41no—
741C23×C61—21no—
742C23×C61—21no—
743C23×C61—42no—
744C23×C61—42no—
745C23×C61—81no—
746C23×C61C22×D411yescharacteristic
747C23×C61C22×D411yescharacteristic
748C22×D61—22no—
749C22×D61—21no—
750C22×D61—24no—
751C22×D61—22no—
752C22×D61—21no—
753C22×D61—21no—
754C22×D61—41no—
755C22×D61—42no—
756C22×D61—42no—
757C22×D61—42no—
758C22×D61—42no—
759C22×D61—42no—
760C22×D61—42no—
761C22×D61—42no—
762C22×D61—42no—
763C22×D61—42no—
764C22×D61—81no—
765C22×D61—81no—
766C22×D61—81no—
767C22×D61—81no—
768C22×D61—81no—
769C22×D61—81no—
770C22×D61—81no—
771C22×D61—81no—
772C22×D61—81no—
773C22×D61—81no—
774C22×D61—81no—
775C22×D61—816no—
776C22×D61C22×D411yescharacteristic
777C22×D61C22×D411yescharacteristic
778C22×D61C22×D411yescharacteristic
779Q8×C61—21no—
780Q8×C61—21no—
781Q8×C61—21no—
782Q8×C61—21no—
783Q8×C61—21no—
784Q8×C61—21no—
785Q8×C61—21no—
786Q8×C61—21no—
787Q8×C61—81no—
788Q8×C61—81no—
789D4×C61—22no—
790D4×C61—21no—
791D4×C61—21no—
792D4×C61—21no—
793D4×C61—42no—
794D4×C61—42no—
795D4×C61—81no—
796D4×C61H(5,𝔽2)12yes—
797C2×C4×C61—21no—
798C2×C4×C61—21no—
799C2×C4×C61—21no—
800C2×C4×C61—21no—
801C2×C4×C61—21no—
802C2×C4×C61—21no—
803C2×C4×C61—21no—
804C2×C4×C61—21no—
805C2×C4×C61—21no—
806C2×C4×C61—21no—
807C2×C4×C61—42no—
808C2×C4×C61—81no—
809C2×C4×C61—81no—
810C2×C4×C61—81no—
811C2×C4×C61C22×D411yescharacteristic
812C2×C4×C61C22×D411yescharacteristic
813C2×C4×C61C22×D411yescharacteristic
814C2×C4×C61C22×D411yescharacteristic
815C2×C4×C61C2511yescharacteristic
816C22⋊D61—24no—
817C22⋊D61—22no—
818C22⋊D61—22no—
819C22⋊D61—41no—
820C22⋊D61—41no—
821C22⋊D61—42no—
822C22⋊D61—42no—
823C22⋊D61—42no—
824C22⋊D61—42no—
825C22⋊D61—42no—
826C22⋊D61—81no—
827C22⋊D61—81no—
828C22⋊D61—81no—
829C22⋊D61—81no—
830C2×Dic61—21no—
831C2×Dic61—21no—
832C2×Dic61—21no—
833C2×Dic61—21no—
834C2×Dic61—21no—
835C2×Dic61—41no—
836C2×Dic61—42no—
837C2×Dic61—81no—
838C2×Dic61C22×D411yescharacteristic
839C2×Dic61C22×D411yescharacteristic
840C2×Dic61C22×D411yescharacteristic
841C2×Dic61C22×D411yescharacteristic
842C2×Dic61C22×D411yescharacteristic
843D244—22no—
844D244—21no—
845D244—21no—
846D244—21no—
847D244—21no—
848D244—21no—
849D244—41no—
850D244—42no—
851D244—42no—
852D244—42no—
853D244—42no—
854D244—42no—
855D244—81no—
856D244—81no—
857D244—81no—
858D244H(5,𝔽2)12yes—
859C4×D61—21no—
860C4×D61—21no—
861C4×D61—21no—
862C4×D61—21no—
863C4×D61—21no—
864C4×D61—21no—
865C4×D61—41no—
866C4×D61—41no—
867C4×D61—42no—
868C4×D61—42no—
869C4×D61—42no—
870C4×D61—81no—
871C4×D61—81no—
872C4×D61—81no—
873C4×D61—81no—
874Dic122—21no—
875Dic122—21no—
876Dic122—41no—
877Dic122—81no—
878Dic122—81no—
879C8×C61—21no—
880C8×C61—21no—
881C8×C61—21no—
882C8×C61—21no—
883#92418—21no—
884#92418—21no—
885#92418—21no—
886#92418—21no—
887#61631—611nomaximal, Sylow
888C22×C61—21no—
889C22×C61—21no—
890C22×C61—22no—
891C22×C61—21no—
892C22×C61—21no—
893C22×C61—21no—
894C22×C61—41no—
895C22×C61—41no—
896C22×C61—41no—
897C22×C61—41no—
898C22×C61—41no—
899C22×C61—84no—
900C22×C61#57712yes—
901C22×C61C23×D411yescharacteristic
902C2×D61—21no—
903C2×D61—21no—
904C2×D61—21no—
905C2×D61—21no—
906C2×D61—22no—
907C2×D61—21no—
908C2×D61—21no—
909C2×D61—21no—
910C2×D61—21no—
911C2×D61—44no—
912C2×D61—41no—
913C2×D61—41no—
914C2×D61—41no—
915C2×D61—41no—
916C2×D61—41no—
917C2×D61—41no—
918C2×D61—41no—
919C2×D61—41no—
920C2×D61—84no—
921C2×D61—84no—
922C2×D61—84no—
923C2×D61—84no—
924C2×D61—84no—
925C2×D61—162no—
926C2×D61—162no—
927C2×D61#57712yes—
928C4×C61—21no—
929C4×C61—21no—
930C4×C61—21no—
931C4×C61—21no—
932C4×C61—41no—
933C4×C61—41no—
934C4×C61—41no—
935C4×C61—41no—
936C4×C61—41no—
937C4×C61—41no—
938C4×C61C2×H(5,𝔽2)11yescharacteristic
939C4×C61C2×H(5,𝔽2)11yescharacteristic
940Dic61—21no—
941Dic61—21no—
942Dic61—21no—
943Dic61—21no—
944Dic61—21no—
945Dic61—41no—
946Dic61—41no—
947Dic61—41no—
948Dic61—41no—
949Dic61—41no—
950#3538—611no—
951#3484—611no—
952#3310—611no—
953#3310—611no—
954#3310—611no—
955#3310—611no—
956#3296—611no—
957#3296—611no—
958#3296—611no—
959#3296—611no—
960D4×SD16—611no—
961D4×SD16—611no—
962D4×SD16—611no—
963D4×SD16—611no—
964#3266—611no—
965#3266—611no—
966#3266—611no—
967#3266D6111yescharacteristic, complemented
968#3222—611no—
969#3222—611no—
970#3200—611no—
971#3200—611no—
972#3190—611no—
973#3190—611no—
974#3123—611no—
975#3123—611no—
976#3009—611no—
977#3009—611no—
978C2×#450—611no—
979C2×#450—611no—
980#2977—611no—
981C2×C61—22no—
982C2×C61—42no—
983C2×C61—41no—
984C2×C61—81no—
985C2×C61#348411yescharacteristic
986C2×C61C2×#57711yescharacteristic
987C2×C61C2×#57711yescharacteristic
988D61—22no—
989D61—41no—
990D61—41no—
991D61—42no—
992D61—81no—
993D61—81no—
994C2×H(5,𝔽2)—611no—
995C23×D4—611no—
996C2×#137—611no—
997C2×#137C2×D6111yescharacteristic, complemented
998C22×SD16—611no—
999C22×SD16—611no—
1000C22×SD16—611no—
1001C22×SD16—611no—
1002C22×SD16—611no—
1003C22×SD16C2×D6111yescharacteristic, complemented
1004#563—1221no—
1005#563—1221no—
1006#552—611no—
1007#552—611no—
1008#552—611no—
1009#552—611no—
1010#551—1221no—
1011#551—1221no—
1012D4×Q8—611no—
1013D4×Q8—611no—
1014D4×Q8—611no—
1015D4×Q8C2×D6111yescharacteristic, complemented
1016#546—611no—
1017#546—611no—
1018#546—611no—
1019#546—1221no—
1020#546—1221no—
1021#546C2×D6111yescharacteristic
1022D42—611no—
1023D42—611no—
1024D42—611no—
1025D42—611no—
1026D42—1221no—
1027D42—1221no—
1028#544—1221no—
1029#544—1221no—
1030#541—611no—
1031#541—611no—
1032#539—1221no—
1033#539—1221no—
1034#536—611no—
1035#536—611no—
1036#535—611no—
1037#535—611no—
1038#534—1221no—
1039#534—1221no—
1040#525—611no—
1041#525—611no—
1042C2×C22⋊Q8—611no—
1043C2×C22⋊Q8—611no—
1044C2×#120—1221no—
1045C2×#120—1221no—
1046#518—611no—
1047#497—611no—
1048#497C2×D6111yescharacteristic, complemented
1049#492—611no—
1050#492—611no—
1051#490—611no—
1052#490—611no—
1053#488—611no—
1054#488—611no—
1055#485—611no—
1056#485—611no—
1057#485—611no—
1058#485—611no—
1059#483—611no—
1060#483—611no—
1061#482—611no—
1062#482—611no—
1063#482—611no—
1064#482—611no—
1065#480—611no—
1066#480—611no—
1067#478—611no—
1068#478—611no—
1069#478—611no—
1070#478—611no—
1071#468—611no—
1072#468—611no—
1073#468—611no—
1074#468C2×D6111yescharacteristic, complemented
1075#467—611no—
1076#467—611no—
1077#467—611no—
1078#467C2×D6111yescharacteristic, complemented
1079#465—611no—
1080#465—611no—
1081#465—611no—
1082#465—611no—
1083#465—611no—
1084#465—611no—
1085#465—611no—
1086#465—611no—
1087#464—611no—
1088#464—611no—
1089#464—611no—
1090#464C2×D6111yescharacteristic, complemented
1091#461—611no—
1092#461—611no—
1093#461—611no—
1094#461C2×D6111yescharacteristic, complemented
1095#460—611no—
1096#460—611no—
1097#460—611no—
1098#460—611no—
1099#452—611no—
1100#452—611no—
1101#452—611no—
1102#452—611no—
1103#452—611no—
1104#452—611no—
1105#452—611no—
1106#452C2×D6111yescharacteristic, complemented
1107#451—611no—
1108#451C2×D6111yescharacteristic, complemented
1109#450—611no—
1110#450—611no—
1111#450—611no—
1112#450—611no—
1113#450—611no—
1114#450—611no—
1115#450—611no—
1116#450—611no—
1117#450—611no—
1118#450—611no—
1119#450—611no—
1120#450—611no—
1121#450—611no—
1122#450—611no—
1123#450—611no—
1124#450—611no—
1125#450—611no—
1126#450—611no—
1127#450—611no—
1128#450C2×D6111yescharacteristic, complemented
1129#448—611no—
1130#448—611no—
1131#448—611no—
1132#448—611no—
1133#448—611no—
1134#448C2×D6111yescharacteristic, complemented
1135#440—611no—
1136#440—611no—
1137#440—611no—
1138#440C2×D6111yescharacteristic, complemented
1139C4×SD16—611no—
1140C4×SD16—611no—
1141C4×SD16—611no—
1142C4×SD16—611no—
1143#435—611no—
1144#435—611no—
1145#435—611no—
1146#435C2×D6111yescharacteristic, complemented
1147C8×D4—611no—
1148C8×D4—611no—
1149C8×D4—611no—
1150C8×D4—611no—
1151#433—611no—
1152#433—611no—
1153#418—611no—
1154#418—611no—
1155#416—611no—
1156#416—611no—
1157C2×#102—611no—
1158C2×#102—611no—
1159C2×#102—611no—
1160C2×#102—611no—
1161#408—611no—
1162#408—611no—
1163C2×C22⋊C8—611no—
1164C2×C22⋊C8—611no—
1165C61#6163111yescharacteristic, complemented, Sylow
1166C25—1221no—
1167H(5,𝔽2)—2442no—
1168H(5,𝔽2)—2442no—
1169C2×#41—611no—
1170C2×#41—611no—
1171C2×#41—611no—
1172C2×#41—1221no—
1173C2×#41C22×D6111yescharacteristic
1174C22×Q8—611no—
1175C22×Q8—611no—
1176C22×Q8C22×D6111yescharacteristic
1177C22×Q8C22×D6111yescharacteristic, complemented
1178C22×D4—611no—
1179C22×D4—611no—
1180C22×D4—611no—
1181C22×D4—611no—
1182C22×D4—611no—
1183C22×D4—611no—
1184C22×D4—611no—
1185C22×D4—1221no—
1186C22×D4—1221no—
1187C22×D4—1221no—
1188C22×D4—1221no—
1189C22×D4—1221no—
1190C22×D4—1221no—
1191C22×D4—1221no—
1192C22×D4—1221no—
1193C22×D4—1221no—
1194C22×D4—1221no—
1195C22×D4—2442no—
1196C22×D4—2442no—
1197C22×D4C22×D6111yescharacteristic
1198C23×C4—611no—
1199#137—42no—
1200#137—2442no—
1201C2×Q16—611no—
1202C2×Q16C22×D6111yescharacteristic, complemented
1203C2×Q16C22×D6111yescharacteristic, complemented
1204C2×Q16C22×D6111yescharacteristic, complemented
1205C2×SD16—42no—
1206C2×SD16—611no—
1207C2×SD16—611no—
1208C2×SD16—611no—
1209C2×SD16—611no—
1210C2×SD16—611no—
1211C2×SD16—611no—
1212C2×SD16—611no—
1213C2×SD16—611no—
1214C2×SD16—611no—
1215C2×SD16—611no—
1216C2×SD16—611no—
1217C2×SD16—611no—
1218C2×SD16—611no—
1219C2×SD16—611no—
1220C2×SD16—2442no—
1221C2×SD16—2442no—
1222C2×SD16—2442no—
1223C2×SD16—2442no—
1224C2×SD16—2442no—
1225C2×SD16C22×D6111yescharacteristic
1226C2×SD16C22×D6111yescharacteristic
1227C2×SD16C22×D6111yescharacteristic
1228C2×SD16C22×D6111yescharacteristic
1229C2×SD16C22×D6111yescharacteristic
1230C2×SD16C22×D6111yescharacteristic
1231C2×M16—611no—
1232C2×M16C22×D6111yescharacteristic, complemented
1233C22×C8—611no—
1234C22×C8—611no—
1235C22×C8—611no—
1236C22×C8—611no—
1237C22×C8—611no—
1238C22×C8C22×D6111yescharacteristic
1239C4⋊Q8—21no—
1240C4⋊Q8—611no—
1241C4⋊Q8—1221no—
1242C4⋊Q8—1221no—
1243C4⋊Q8—1221no—
1244C4⋊Q8—1221no—
1245C4⋊Q8—1221no—
1246C4⋊Q8C22×D6111yescharacteristic, complemented
1247#127—611no—
1248#127—611no—
1249#127—1221no—
1250#126—1221no—
1251#126—1221no—
1252#126—1221no—
1253#126—1221no—
1254#126—1221no—
1255#126—1221no—
1256#126—1221no—
1257#126—1221no—
1258#125—611no—
1259#125—611no—
1260#125—1221no—
1261#125—1221no—
1262#125—1221no—
1263#125—1221no—
1264#125—1221no—
1265#125—1221no—
1266#125—1221no—
1267#125—1221no—
1268#124—611no—
1269#124—1221no—
1270#124—1221no—
1271#124—1221no—
1272#124C22×D6111yescharacteristic
1273#123—21no—
1274#123—611no—
1275#123—611no—
1276#123—1221no—
1277#123—1221no—
1278#123—1221no—
1279#123—1221no—
1280#123—1221no—
1281#123—1221no—
1282#123—1221no—
1283#123—1221no—
1284#123—1221no—
1285#123—1221no—
1286#123—1221no—
1287#123—1221no—
1288C22⋊Q8—21no—
1289C22⋊Q8—21no—
1290C22⋊Q8—611no—
1291C22⋊Q8—611no—
1292C22⋊Q8—611no—
1293C22⋊Q8—611no—
1294C22⋊Q8—611no—
1295C22⋊Q8—611no—
1296C22⋊Q8—611no—
1297C22⋊Q8—611no—
1298C22⋊Q8—611no—
1299C22⋊Q8—611no—
1300C22⋊Q8—611no—
1301C22⋊Q8—611no—
1302C22⋊Q8—611no—
1303C22⋊Q8—1221no—
1304C22⋊Q8—1221no—
1305C22⋊Q8—1221no—
1306C22⋊Q8—1221no—
1307C22⋊Q8—1221no—
1308C22⋊Q8—1221no—
1309C22⋊Q8—1221no—
1310C22⋊Q8—1221no—
1311C22⋊Q8—1221no—
1312C22⋊Q8—1221no—
1313C22⋊Q8C22×D6111yescharacteristic
1314C22⋊Q8C22×D6111yescharacteristic
1315C22⋊Q8C22×D6111yescharacteristic, complemented
1316#121—21no—
1317#121—611no—
1318#121—611no—
1319#121—611no—
1320#121—611no—
1321#121—611no—
1322#121—611no—
1323#121—611no—
1324#121—1221no—
1325#121—1221no—
1326#121—1221no—
1327#121—1221no—
1328#121—1221no—
1329#121—1221no—
1330#121—1221no—
1331#121—1221no—
1332#121—1221no—
1333#121C22×D6111yescharacteristic
1334#120—21no—
1335#120—611no—
1336#120—611no—
1337#120—1221no—
1338#120—1221no—
1339#120—1221no—
1340#120—1221no—
1341#120—1221no—
1342#120—1221no—
1343#120—1221no—
1344#120—1221no—
1345#120—1221no—
1346#120—1221no—
1347#120—1221no—
1348#120—1221no—
1349#120—1221no—
1350#120—1221no—
1351#120—1221no—
1352#120—1221no—
1353C4×Q8—611no—
1354C4×Q8—611no—
1355C4×Q8—611no—
1356C4×Q8C22×D6111yescharacteristic, complemented
1357C4×D4—21no—
1358C4×D4—611no—
1359C4×D4—611no—
1360C4×D4—611no—
1361C4×D4—611no—
1362C4×D4—611no—
1363C4×D4—611no—
1364C4×D4—1221no—
1365C4×D4—1221no—
1366C4×D4—1221no—
1367C4×D4—1221no—
1368C4×D4—1221no—
1369C4×D4—1221no—
1370C4×D4—1221no—
1371C4×D4C22×D6111yescharacteristic
1372C4×D4C22×D6111yescharacteristic
1373#117—611no—
1374#117—611no—
1375#117—611no—
1376#117—611no—
1377#117—1221no—
1378#117—1221no—
1379#117—1221no—
1380#117—1221no—
1381C2×C4⋊C4—611no—
1382C2×C4⋊C4—611no—
1383C2×C4⋊C4—1221no—
1384C2×C4⋊C4—1221no—
1385C2×C22⋊C4—21no—
1386C2×C22⋊C4—1221no—
1387C2×C22⋊C4—1221no—
1388C2×C22⋊C4—1221no—
1389C2×C22⋊C4—1221no—
1390C2×C22⋊C4—1221no—
1391C2×C22⋊C4—1221no—
1392C2×C22⋊C4—1221no—
1393#107—611no—
1394#107—611no—
1395#107—611no—
1396#107C22×D6111yescharacteristic, complemented
1397#106—611no—
1398#106—611no—
1399#106—611no—
1400#106—611no—
1401C4⋊C8—611no—
1402C4⋊C8—611no—
1403C4⋊C8—611no—
1404C4⋊C8C22×D6111yescharacteristic, complemented
1405#103—611no—
1406#103—611no—
1407#103—611no—
1408#103—611no—
1409#103—611no—
1410#103—611no—
1411#103—611no—
1412#103—611no—
1413#103C22×D6111yescharacteristic, complemented
1414#103C22×D6111yescharacteristic, complemented
1415#103C22×D6111yescharacteristic, complemented
1416#103C22×D6111yescharacteristic, complemented
1417#102—611no—
1418#102—611no—
1419#102—611no—
1420#102—611no—
1421#102—611no—
1422#102—611no—
1423#102—611no—
1424#102—611no—
1425#102—611no—
1426#102—611no—
1427#102—611no—
1428#102—611no—
1429#102—611no—
1430#102—611no—
1431#102—611no—
1432#102—611no—
1433#102—611no—
1434#102—611no—
1435#102C22×D6111yescharacteristic
1436#102C22×D6111yescharacteristic
1437C22⋊C8—611no—
1438C22⋊C8—611no—
1439C22⋊C8—611no—
1440C22⋊C8—611no—
1441C22⋊C8—611no—
1442C22⋊C8—611no—
1443C22⋊C8—611no—
1444C22⋊C8—611no—
1445C22⋊C8—611no—
1446C22⋊C8—611no—
1447C22⋊C8C22×D6111yescharacteristic
1448C22⋊C8C22×D6111yescharacteristic, complemented
1449#97—611no—
1450#97C22×D6111yescharacteristic, complemented
1451C4×C8—611no—
1452C4×C8—611no—
1453C24—21no—
1454C24—611no—
1455C24—1221no—
1456C24—1221no—
1457C24—1221no—
1458C24—1221no—
1459C24—1221no—
1460C24—1221no—
1461C24—1221no—
1462C24—4882no—
1463C24—4882no—
1464C24—2444no—
1465#41—22no—
1466#41—41no—
1467#41—1222no—
1468#41—2441no—
1469#41—2441no—
1470#41—2444no—
1471#41—2441no—
1472#41—2441no—
1473#41—2441no—
1474C2×Q8—21no—
1475C2×Q8—21no—
1476C2×Q8—41no—
1477C2×Q8—41no—
1478C2×Q8—41no—
1479C2×Q8—41no—
1480C2×Q8—611no—
1481C2×Q8—611no—
1482C2×Q8—1221no—
1483C2×Q8—1221no—
1484C2×Q8—2441no—
1485C2×Q8—2441no—
1486C2×Q8—2441no—
1487C2×Q8—2441no—
1488C2×Q8C23×D6111yescharacteristic
1489C2×Q8C23×D6111yescharacteristic
1490C2×Q8C23×D6111yescharacteristic
1491C2×Q8C23×D6111yescharacteristic
1492C2×D4—22no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—41no—
1497C2×D4—611no—
1498C2×D4—611no—
1499C2×D4—611no—
1500C2×D4—611no—
1501C2×D4—611no—
1502C2×D4—611no—
1503C2×D4—611no—
1504C2×D4—611no—
1505C2×D4—611no—
1506C2×D4—1222no—
1507C2×D4—1222no—
1508C2×D4—1221no—
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—1221no—
1519C2×D4—1222no—
1520C2×D4—1222no—
1521C2×D4—1222no—
1522C2×D4—1222no—
1523C2×D4—1222no—
1524C2×D4—1221no—
1525C2×D4—1221no—
1526C2×D4—1221no—
1527C2×D4—1221no—
1528C2×D4—1221no—
1529C2×D4—1221no—
1530C2×D4—1221no—
1531C2×D4—4882no—
1532C2×D4—4882no—
1533C2×D4—4882no—
1534C2×D4—4882no—
1535C2×D4—2441no—
1536C2×D4—2441no—
1537C2×D4—2444no—
1538C2×D4—2441no—
1539C2×D4—2441no—
1540C2×D4—2441no—
1541C2×D4—2441no—
1542C2×D4—2441no—
1543C2×D4—2444no—
1544C2×D4—2444no—
1545C2×D4—2444no—
1546C2×D4—2444no—
1547C2×D4—2444no—
1548C2×D4D4×D6111yescharacteristic
1549C2×D4C23×D6111yescharacteristic
1550C2×D4C23×D6111yescharacteristic
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—611no—
1556C22×C4—611no—
1557C22×C4—611no—
1558C22×C4—611no—
1559C22×C4—611no—
1560C22×C4—611no—
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—2441no—
1571C22×C4—2441no—
1572C22×C4C23×D6111yescharacteristic
1573C22×C4C23×D6111yescharacteristic
1574Q16—41no—
1575Q16—41no—
1576Q16—41no—
1577Q16—2441no—
1578SD16—22no—
1579SD16—22no—
1580SD16—22no—
1581SD16—41no—
1582SD16—41no—
1583SD16—41no—
1584SD16—1222no—
1585SD16—1222no—
1586SD16—1222no—
1587SD16—1222no—
1588SD16—1222no—
1589SD16—2441no—
1590SD16—2441no—
1591SD16—2441no—
1592SD16—2441no—
1593SD16—2441no—
1594SD16—2441no—
1595SD16—2441no—
1596SD16—2441no—
1597SD16—2441no—
1598M16—41no—
1599M16—2441no—
1600C2×C8—41no—
1601C2×C8—611no—
1602C2×C8—611no—
1603C2×C8—611no—
1604C2×C8—611no—
1605C2×C8—2441no—
1606C2×C8—2441no—
1607C2×C8—2441no—
1608C2×C8—2441no—
1609C2×C8—2441no—
1610C2×C8C23×D6111yescharacteristic
1611C2×C8C23×D6111yescharacteristic
1612C2×C8C23×D6111yescharacteristic
1613C2×C8C23×D6111yescharacteristic
1614C4⋊C4—21no—
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—611no—
1621C4⋊C4—611no—
1622C4⋊C4—611no—
1623C4⋊C4—611no—
1624C4⋊C4—611no—
1625C4⋊C4—611no—
1626C4⋊C4—611no—
1627C4⋊C4—611no—
1628C4⋊C4—611no—
1629C4⋊C4—1221no—
1630C4⋊C4—1221no—
1631C4⋊C4—1221no—
1632C4⋊C4—1221no—
1633C4⋊C4—1221no—
1634C4⋊C4—1221no—
1635C4⋊C4—1221no—
1636C4⋊C4—1221no—
1637C4⋊C4—1221no—
1638C4⋊C4—1221no—
1639C4⋊C4—1221no—
1640C4⋊C4—1221no—
1641C4⋊C4—1221no—
1642C4⋊C4—1221no—
1643C4⋊C4—1221no—
1644C4⋊C4—1221no—
1645C4⋊C4—1221no—
1646C4⋊C4—1221no—
1647C4⋊C4—1221no—
1648C4⋊C4—1221no—
1649C4⋊C4—1221no—
1650C4⋊C4—1221no—
1651C4⋊C4D4×D6111yescharacteristic
1652C4⋊C4C23×D6111yescharacteristic
1653C4⋊C4C23×D6111yescharacteristic
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—611no—
1662C22⋊C4—611no—
1663C22⋊C4—611no—
1664C22⋊C4—611no—
1665C22⋊C4—611no—
1666C22⋊C4—611no—
1667C22⋊C4—611no—
1668C22⋊C4—611no—
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—
1680C22⋊C4—1221no—
1681C22⋊C4—1221no—
1682C22⋊C4—1221no—
1683C22⋊C4—1221no—
1684C22⋊C4—1221no—
1685C22⋊C4—1221no—
1686C22⋊C4—1221no—
1687C22⋊C4—1221no—
1688C22⋊C4—1221no—
1689C22⋊C4—1221no—
1690C22⋊C4—1221no—
1691C22⋊C4—1221no—
1692C22⋊C4—1221no—
1693C22⋊C4D4×D6111yescharacteristic
1694C22⋊C4D4×D6111yescharacteristic
1695C42—21no—
1696C42—611no—
1697C42—1221no—
1698C42—1221no—
1699C42—1221no—
1700C42—1221no—
1701C42—1221no—
1702C42—1221no—
1703C42C23×D6111yescharacteristic
1704C23—21no—
1705C23—21no—
1706C23—42no—
1707C23—42no—
1708C23—81no—
1709C23—611no—
1710C23—611no—
1711C23—611no—
1712C23—1222no—
1713C23—1224no—
1714C23—1222no—
1715C23—1221no—
1716C23—1221no—
1717C23—1221no—
1718C23—4881no—
1719C23—4881no—
1720C23—4881no—
1721C23—4881no—
1722C23—4881no—
1723C23—4881no—
1724C23—4881no—
1725C23—4881no—
1726C23—4881no—
1727C23—4881no—
1728C23—4881no—
1729C23—48816no—
1730C23—2441no—
1731C23—2442no—
1732C23—2442no—
1733C23—2442no—
1734C23—2442no—
1735C23—2442no—
1736C23—2442no—
1737C23—2442no—
1738C23—2442no—
1739C23—2442no—
1740C23C2×D4×D6111yescharacteristic
1741C23C2×D4×D6111yescharacteristic
1742Q8—21no—
1743Q8—21no—
1744Q8—21no—
1745Q8—21no—
1746Q8—21no—
1747Q8—21no—
1748Q8—21no—
1749Q8—21no—
1750Q8—81no—
1751Q8—81no—
1752Q8—1221no—
1753Q8—1221no—
1754Q8—4881no—
1755Q8—4881no—
1756Q8—2441no—
1757D4—22no—
1758D4—21no—
1759D4—21no—
1760D4—21no—
1761D4—42no—
1762D4—42no—
1763D4—81no—
1764D4—612no—
1765D4—1222no—
1766D4—1222no—
1767D4—1224no—
1768D4—1222no—
1769D4—1221no—
1770D4—1221no—
1771D4—1221no—
1772D4—1221no—
1773D4—1221no—
1774D4—4881no—
1775D4—4881no—
1776D4—4881no—
1777D4—4881no—
1778D4—4881no—
1779D4—4881no—
1780D4—4881no—
1781D4—2441no—
1782D4—2442no—
1783D4—2442no—
1784D4—2442no—
1785D4—2442no—
1786D4—2442no—
1787D4—2441no—
1788D4—2441no—
1789D4—2442no—
1790D4—2442no—
1791D4—2442no—
1792D4—2442no—
1793D4—2442no—
1794D4#1451982212yes—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—42no—
1806C2×C4—81no—
1807C2×C4—81no—
1808C2×C4—81no—
1809C2×C4—611no—
1810C2×C4—611no—
1811C2×C4—611no—
1812C2×C4—611no—
1813C2×C4—611no—
1814C2×C4—1221no—
1815C2×C4—1221no—
1816C2×C4—1221no—
1817C2×C4—1221no—
1818C2×C4—1221no—
1819C2×C4—1221no—
1820C2×C4—1221no—
1821C2×C4—1221no—
1822C2×C4—1221no—
1823C2×C4—1221no—
1824C2×C4—1221no—
1825C2×C4—4881no—
1826C2×C4—4881no—
1827C2×C4—4881no—
1828C2×C4—4881no—
1829C2×C4—4881no—
1830C2×C4—2441no—
1831C2×C4—2441no—
1832C2×C4—2442no—
1833C2×C4—2442no—
1834C2×C4—2442no—
1835C2×C4—2441no—
1836C2×C4—2442no—
1837C2×C4C2×D4×D6111yescharacteristic
1838C2×C4C2×D4×D6111yescharacteristic
1839C2×C4C2×D4×D6111yescharacteristic
1840C2×C4C2×D4×D6111yescharacteristic
1841C2×C4C24×D6111yescharacteristic
1842C8—21no—
1843C8—21no—
1844C8—21no—
1845C8—21no—
1846C8—1221no—
1847C8—1221no—
1848C8—1221no—
1849C8—1221no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—21no—
1855C22—22no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—84no—
1862C22—612no—
1863C22—1221no—
1864C22—1221no—
1865C22—1221no—
1866C22—1221no—
1867C22—1221no—
1868C22—1221no—
1869C22—1221no—
1870C22—1221no—
1871C22—1222no—
1872C22—9762no—
1873C22—9762no—
1874C22—4884no—
1875C22—4884no—
1876C22—4884no—
1877C22—4884no—
1878C22—4884no—
1879C22—2444no—
1880C22—2441no—
1881C22—2441no—
1882C22—2441no—
1883C22—2441no—
1884C22—2441no—
1885C22—2441no—
1886C22—2441no—
1887C22—2441no—
1888C22#1684057112yes—
1889C22C22×D4×D6111yescharacteristic
1890C4—21no—
1891C4—21no—
1892C4—21no—
1893C4—21no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—41no—
1898C4—41no—
1899C4—41no—
1900C4—1221no—
1901C4—1221no—
1902C4—1221no—
1903C4—1221no—
1904C4—1221no—
1905C4—2441no—
1906C4—2441no—
1907C4—2441no—
1908C4—2441no—
1909C4—2441no—
1910C4H(5,𝔽2)×D6111yescharacteristic
1911C4C2×#1451982211yescharacteristic
1912C2—22no—
1913C2—41no—
1914C2—42no—
1915C2—81no—
1916C2—1222no—
1917C2—4881no—
1918C2—4881no—
1919C2—2441no—
1920C2—2441no—
1921C2—2442no—
1922C2#2145944711yescharacteristic
1923C2#577×D6111yescharacteristic
1924C2C2×#1684057111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3266C2
socleC22×C61C23×D4
prime radical#21459449C2
hypercenter#3266D61
hypocenterC61#61631
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
1. #21460060C2semidirect
3. #21457845C2semidirect
4. #21457844C2semidirect
5. #21457842C2semidirect
6. #21457835C2semidirect
7. #21457661C2semidirect
8. #21457660C2semidirect
9. #21457654C2semidirect
10. #21457647C2semidirect
11. #21457518C2semidirect
12. D4×#11758201C2semidirect
13. SD16×C22⋊D61C2semidirect
14. #21457508C2semidirect
15. #21457328C2semidirect
16. #21457323C2semidirect
17. #21457322C2semidirect
18. #21456888C2semidirect
19. #21456886C2semidirect
20. #21456689C2semidirect
21. #21456687C2semidirect
22. #21456603C2semidirect
23. #21456601C2semidirect
24. #21456070C2semidirect
25. #21456069C2semidirect
26. #21455095C2semidirect
27. #21455093C2semidirect
28. C2×#16839911C2semidirect
29. #450×D61C2semidirect
30. #21454870C2semidirect
31. C61×#3266C2semidirect
34. C2×#14519809C22semidirect
35. C22×#11758201C22semidirect
36. C22×#11758201C22semidirect
37. C2×SD16×D61C22semidirect
38. C2×SD16×D61C22semidirect
39. C2×SD16×D61C22semidirect
42. #16840454C22semidirect
43. #16840453C22semidirect
44. #16840452C22semidirect
45. #16840446C22semidirect
48. #16840427C22semidirect
49. Q8×C22⋊D61C22semidirect
50. Q8×C22⋊D61C22semidirect
64. #16840373C22semidirect
65. #16840370C22semidirect
68. #16840336C22semidirect
69. #16840335C22semidirect
76. C2×#14519753C22semidirect
77. C22⋊Q8×D61C22semidirect
81. #16840155C22semidirect
82. #16840136C22semidirect
83. #16840133C22semidirect
84. #16840127C22semidirect
85. #16840125C22semidirect
86. #16840118C22semidirect
87. #16840116C22semidirect
88. #16840105C22semidirect
89. #16840102C22semidirect
90. #16840102C22semidirect
91. #16840101C22semidirect
92. #16840091C22semidirect
93. #16840090C22semidirect
94. #16840089C22semidirect
95. #16840087C22semidirect
96. #16840084C22semidirect
97. #16840083C22semidirect
98. #16840077C22semidirect
99. #16840076C22semidirect
100. #16840065C22semidirect
101. #16840063C22semidirect
102. #16840062C22semidirect
103. #16840060C22semidirect
104. #16840011C22semidirect
105. #16840008C22semidirect
106. #16840005C22semidirect
107. #16840001C22semidirect
108. #16840000C22semidirect
109. #16840000C22semidirect
110. #16839994C22semidirect
111. #16839994C22semidirect
112. #16839994C22semidirect
113. #16839993C22semidirect
114. #16839993C22semidirect
115. #16839991C22semidirect
116. #16839989C22semidirect
117. #16839988C22semidirect
118. #16839986C22semidirect
119. #16839986C22semidirect
120. #16839981C22semidirect
121. #16839966C22semidirect
122. #16839965C22semidirect
123. #16839964C22semidirect
124. #16839963C22semidirect
125. #16839962C22semidirect
126. #16839960C22semidirect
127. #16839960C22semidirect
128. #16839927C22semidirect
129. #16839924C22semidirect
130. #16839923C22semidirect
131. #16839923C22semidirect
132. #16839923C22semidirect
133. #16839923C22semidirect
134. #16839923C22semidirect
135. #16839916C22semidirect
136. #16839915C22semidirect
137. #16839915C22semidirect
139. #16839914C22semidirect
140. #16839913C22semidirect
141. #16839912C22semidirect
142. #16839912C22semidirect
146. #16839911C22semidirect
147. #16839911C22semidirect
148. #16839911C22semidirect
149. #16839911C22semidirect
150. #16839911C22semidirect
151. #16839911C22semidirect
152. #16839911C22semidirect
153. #16839911C22semidirect
154. #16839911C22semidirect
155. #16839902C22semidirect
156. #16839902C22semidirect
157. #16839901C22semidirect
158. #16839901C22semidirect
159. #16839899C22semidirect
160. #16839865C22semidirect
161. #16839864C22semidirect
162. #16839863C22semidirect
163. SD16×Dic61C22semidirect
164. C4×#11758201C22semidirect
165. C4×#11758200C22semidirect
166. #16839847C22semidirect
167. #16839835C22semidirect
168. #16839831C22semidirect
169. #16839830C22semidirect
170. D4×#92418C22semidirect
171. #16839827C22semidirect
172. C8×C22⋊D61C22semidirect
173. #16839825C22semidirect
174. #16839824C22semidirect
175. #16839822C22semidirect
176. #16839768C22semidirect
177. #16839765C22semidirect
178. #16839758C22semidirect
179. #16839757C22semidirect
180. C2×#14519699C22semidirect
181. C2×#14519698C22semidirect
182. #102×D61C22semidirect
183. #102×D61C22semidirect
184. #16839730C22semidirect
185. #16839727C22semidirect
186. C2×#14519689C22semidirect
187. C22⋊C8×D61C22semidirect
188. C2×#137×C61C22semidirect
189. C22×SD16×C61C22semidirect
190. D4×Q8×C61C22semidirect
192. C61×#497C22semidirect
193. C61×#468C22semidirect
194. C61×#467C22semidirect
195. C61×#464C22semidirect
196. C61×#461C22semidirect
197. C61×#452C22semidirect
198. C61×#451C22semidirect
199. C61×#450C22semidirect
200. C61×#448C22semidirect
201. C61×#440C22semidirect
202. C61×#435C22semidirect
211. C2×Q8×D61C23semidirect
233. C2×#11758202C23semidirect
236. C2×#11758190C23semidirect
247. C2×#11758201C23semidirect
248. C2×#11758201C23semidirect
249. C2×#11758201C23semidirect
253. C2×#11758189C23semidirect
255. C22×#92418C23semidirect
258. C2×C8×D61C23semidirect
264. #14519775C23semidirect
277. #14519769C23semidirect
279. #14519768C23semidirect
308. #14519756C23semidirect
325. #14519753C23semidirect
326. #14519753C23semidirect
361. Q8×Dic61C23semidirect
362. Q8×Dic61C23semidirect
363. C4×Dic122C23semidirect
377. #14519736C23semidirect
380. #14519735C23semidirect
396. #14519711C23semidirect
397. #14519711C23semidirect
398. #14519710C23semidirect
399. #14519709C23semidirect
400. #14519708C23semidirect
401. #14519708C23semidirect
402. #14519708C23semidirect
403. C4⋊#92418C23semidirect
404. #14519706C23semidirect
405. #14519706C23semidirect
406. #14519702C23semidirect
407. #14519701C23semidirect
408. #14519701C23semidirect
409. #14519701C23semidirect
410. #14519701C23semidirect
411. #14519701C23semidirect
412. #14519701C23semidirect
413. #14519700C23semidirect
420. #14519699C23semidirect
421. #14519699C23semidirect
422. #14519699C23semidirect
431. #14519697C23semidirect
433. C22⋊#92418C23semidirect
440. #14519689C23semidirect
441. #14519689C23semidirect
442. #14519687C23semidirect
443. C4×#92418C23semidirect
444. C8×Dic61C23semidirect
447. C22×Q8×C61C23semidirect
450. C2×Q16×C61C23semidirect
451. C2×Q16×C61C23semidirect
452. C2×Q16×C61C23semidirect
460. C2×M16×C61C23semidirect
463. C4⋊Q8×C61C23semidirect
470. C22⋊Q8×C61C23semidirect
474. C4×Q8×C61C23semidirect
479. #107×C61C23semidirect
480. C4⋊C8×C61C23semidirect
481. #103×C61C23semidirect
482. #103×C61C23semidirect
483. #103×C61C23semidirect
484. #103×C61C23semidirect
488. C22⋊C8×C61C23semidirect
489. #97×C61C23semidirect
967. #3266D61semidirect
997. C2×#137C2×D61semidirect
1003. C22×SD16C2×D61semidirect
1015. D4×Q8C2×D61semidirect
1048. #497C2×D61semidirect
1074. #468C2×D61semidirect
1078. #467C2×D61semidirect
1090. #464C2×D61semidirect
1094. #461C2×D61semidirect
1106. #452C2×D61semidirect
1108. #451C2×D61semidirect
1128. #450C2×D61semidirect
1134. #448C2×D61semidirect
1138. #440C2×D61semidirect
1146. #435C2×D61semidirect
1165. C61#61631semidirect
1177. C22×Q8C22×D61semidirect
1202. C2×Q16C22×D61semidirect
1203. C2×Q16C22×D61semidirect
1204. C2×Q16C22×D61semidirect
1232. C2×M16C22×D61semidirect
1246. C4⋊Q8C22×D61semidirect
1315. C22⋊Q8C22×D61semidirect
1356. C4×Q8C22×D61semidirect
1396. #107C22×D61semidirect
1404. C4⋊C8C22×D61semidirect
1413. #103C22×D61semidirect
1414. #103C22×D61semidirect
1415. #103C22×D61semidirect
1416. #103C22×D61semidirect
1448. C22⋊C8C22×D61semidirect
1450. #97C22×D61semidirect

Maximal subgroups

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

subgroupindex
#214600602
#214594492
#214578452
#214578442
#214578422
#214578352
#214576612
#214576602
#214576542
#214576472
#214575182
D4×#117582012
SD16×C22⋊D612
#214575082
#214573282
#214573232
#214573222
#214568882
#214568862
#214566892
#214566872
#214566032
#214566012
#214560702
#214560692
#214550952
#214550932
C2×#168399112
#450×D612
#214548702
C61×#32662
#6163161