Finite Group Databasebeta

← #17979305

Subgroups — #17979305

Order 4352.

2758 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14545325C212yesmaximal, complemented
2#14545323C212yesmaximal, complemented
3#14545315C211yesmaximal, characteristic, complemented
4#14545315C211yesmaximal, characteristic, complemented
5#14545314C211yesmaximal, characteristic, complemented
6#14545314C211yesmaximal, characteristic, complemented
7#14545312C212yesmaximal, complemented
8#14545306C212yesmaximal, complemented
9#14545289C211yesmaximal, characteristic, complemented
10#14545287C211yesmaximal, characteristic, complemented
11D4×C22⋊#595C211yesmaximal, characteristic, complemented
12D4×C22⋊#595C211yesmaximal, characteristic, complemented
13#14545281C212yesmaximal, complemented
14#14545276C211yesmaximal, characteristic, complemented
15#14545274C211yesmaximal, characteristic, complemented
16#14545273C212yesmaximal, complemented
17#14545269C212yesmaximal, complemented
18#14545269C212yesmaximal, complemented
19#14545262C211yesmaximal, characteristic, complemented
20#127×#595C211yesmaximal, characteristic, complemented
21#124×#595C211yesmaximal, characteristic, complemented
22#14545246C211yesmaximal, characteristic, complemented
23D17×#535C211yesmaximal, characteristic
24C2×Q8×#595C2211yescharacteristic, complemented
25C2×Q8×#595C2211yescharacteristic, complemented
26C2×D4×#595C2211yescharacteristic
27C2×D4×#595C2211yescharacteristic
28C2×D4×#595C2211yescharacteristic
29C2×D4×#595C2211yescharacteristic
30C2×D4×#595C2212yescomplemented
31C2×D4×#595C2211yescharacteristic, complemented
32C2×D4×#595C2212yescomplemented
33C2×D4×#595C2212yescomplemented
34C2×D4×#595C2212yescomplemented
35C2×D4×#595C2211yescharacteristic, complemented
36C22×C22⋊#595C2212yes—
37C22×C22⋊#595C2212yes—
38(C2×#595)⋊Q8C2211yescharacteristic, complemented
39(C2×#595)⋊Q8C2211yescharacteristic, complemented
40#11763761C2211yescharacteristic
41#11763761C2211yescharacteristic
42#11763761C2212yes—
43#11763761C2212yes—
44#11763761C2211yescharacteristic
45#11763761C2211yescharacteristic
46#11763761C2212yescomplemented
47#11763761C2211yescharacteristic, complemented
48#11763761C2212yescomplemented
49#11763761C2212yescomplemented
50#11763761C2211yescharacteristic, complemented
51#11763761C2212yescomplemented
52#11763759C2211yescharacteristic
53#11763759C2211yescharacteristic
54#11763759C2211yescharacteristic
55#11763759C2211yescharacteristic
56#11763759C2212yes—
57#11763759C2212yes—
58#11763759C2212yescomplemented
59#11763759C2212yescomplemented
60#11763759C2212yescomplemented
61#11763759C2212yescomplemented
62#11763759C2212yescomplemented
63#11763759C2212yescomplemented
64#11763759C2212yescomplemented
65#11763759C2212yescomplemented
66#11763758C2211yescharacteristic, complemented
67#11763758C2211yescharacteristic, complemented
68#11763758C2211yescharacteristic, complemented
69#11763758C2211yescharacteristic, complemented
70#11763758C2212yescomplemented
71#11763758C2212yescomplemented
72#11763757C2212yes—
73#11763757C2212yes—
74#11763757C2212yes—
75#11763757C2212yes—
76#11763757C2212yes—
77#11763757C2212yes—
78#11763757C2212yescomplemented
79#11763757C2212yescomplemented
80#11763757C2212yescomplemented
81#11763757C2212yescomplemented
82#11763757C2212yescomplemented
83#11763757C2212yescomplemented
84#11763757C2212yescomplemented
85#11763757C2212yescomplemented
86#11763756C2212yescomplemented
87#11763756C2212yescomplemented
88#11763756C2212yescomplemented
89#11763756C2212yescomplemented
90#11763755C2211yescharacteristic, complemented
91#11763753C2211yescharacteristic, complemented
92#11763752C2212yescomplemented
93#11763751C2211yescharacteristic
94#11763751C2211yescharacteristic
95#11763751C2212yescomplemented
96#11763750C2212yes—
97#11763750C2212yes—
98C4×C4⋊#595C2211yescharacteristic, complemented
99C4×C4⋊#595C2211yescharacteristic, complemented
100C4×C4⋊#595C2211yescharacteristic, complemented
101C4×C4⋊#595C2211yescharacteristic, complemented
102C22⋊C4×#595C2212yescomplemented
103C22⋊C4×#595C2212yescomplemented
104C22⋊C4×#595C2212yescomplemented
105C22⋊C4×#595C2212yescomplemented
106C4×C22⋊#595C2211yescharacteristic
107C4×C22⋊#595C2211yescharacteristic
108C4×C22⋊#595C2212yescomplemented
109#11763745C2211yescharacteristic, complemented
110C2×(C2×#595)⋊C4C2212yescomplemented
111C42×#595C2211yescharacteristic, complemented
112C2×#41×D17C2211yescharacteristic
113C22×D4×D17C2211yescharacteristic
114#11763378C411yescharacteristic, complemented
115#11763377C411yescharacteristic, complemented
116#11763377C411yescharacteristic, complemented
117#11763376C411yescharacteristic, complemented
118#11763375C412yescomplemented
119#11763375C412yescomplemented
120#11763374C412yescomplemented
121#11763374C412yescomplemented
122#11763373C411yescharacteristic, complemented
123#11763372C411yescharacteristic, complemented
124#11763372C411yescharacteristic, complemented
125#127×D17C2211yescharacteristic
126#127×D17C2211yescharacteristic
127#124×D17C2211yescharacteristic
128#124×D17C2211yescharacteristic
129#121×D17C2212yes—
130#121×D17C2212yes—
131#120×D17C2212yes—
132#120×D17C2212yes—
133#117×D17C2211yescharacteristic
134C17×#535C411yescharacteristic, complemented
135C24×D17C2312yes—
136C23×#595C2312yes—
137C23×#595C2312yes—
138C23×#595C2312yes—
139C23×#595C2312yes—
140C23×#595C2312yes—
141C23×#595C2312yes—
142C2×#41×C17C2×C411yescharacteristic, complemented
143C22×D4×C17C2×C411yescharacteristic, complemented
144C22×C22⋊D17C2×C412yescomplemented
145#41×D17—42no—
146#41×D17—42no—
147C2×#63256C2×C411yescharacteristic, complemented
148C2×Q8×D17C2311yescharacteristic
149C2×#63254C2×C411yescharacteristic, complemented
150C2×#63254C2×C412yescomplemented
151C2×D4×D17—42no—
152C2×D4×D17—42no—
153C2×D4×D17C2×C411yescharacteristic, complemented
154C2×D4×D17C2×C411yescharacteristic, complemented
155C2×D4×D17C2×C412yescomplemented
156C2×D4×D17C2311yescharacteristic
157C2×D4×D17C2311yescharacteristic
158C2×D4×D17C2311yescharacteristic
159C2×D4×D17C2312yes—
160C2×D4×D17C2312yes—
161C2×D4×D17C2312yes—
162C2×D4×D17C2312yes—
163C2×D4×D17C2312yes—
164C2×D4×D17C2312yes—
165C2×#63252C2×C412yescomplemented
166C2×#63252C2×C411yescharacteristic, complemented
167C22×D68C2×C411yescharacteristic, complemented
168C22×C4×D17C2311yescharacteristic
169C22×C4×D17C2312yes—
170C2×C22⋊#595—44no—
171C2×C22⋊#595—44no—
172C2×C22⋊#595C2311yescharacteristic
173C2×C22⋊#595C2311yescharacteristic
174C2×C22⋊#595C2312yes—
175C2×C22⋊#595C2312yes—
176C2×C22⋊#595C2312yes—
177C2×C22⋊#595C2311yescharacteristic
178C2×C22⋊#595C2311yescharacteristic
179C2×C22⋊#595C2312yes—
180C2×C22⋊#595C2312yes—
181C2×C22⋊#595C2312yes—
182C2×C22⋊#595C2312yes—
183C2×C22⋊#595C2312yes—
184C2×C22⋊#595C2312yes—
185C2×C22⋊#595C2312yes—
186C2×C22⋊#595C2312yes—
187C2×C22⋊#595C2312yes—
188C2×C22⋊#595C2312yes—
189C2×C22⋊#595C2312yes—
190C2×C22⋊#595C2312yes—
191C2×C22⋊#595C2312yes—
192C2×C22⋊#595C2312yes—
193C2×C22⋊#595C2312yes—
194C2×C22⋊#595C2312yes—
195C2×C22⋊#595C2312yes—
196Q8×#595—42no—
197Q8×#595—42no—
198D4×#595—42no—
199D4×#595—42no—
200D4×#595—42no—
201D4×#595—42no—
202D4×#595—42no—
203D4×#595—42no—
204D4×#595—44no—
205D4×#595—44no—
206D4×#595—44no—
207D4×#595—44no—
208C2×C4⋊#595C2311yescharacteristic
209C2×C4⋊#595C2311yescharacteristic
210C2×C4⋊#595C2311yescharacteristic
211C2×C4⋊#595C2311yescharacteristic
212C2×C4⋊#595C2311yescharacteristic
213C2×C4⋊#595C2311yescharacteristic
214C2×C4⋊#595C2311yescharacteristic
215C2×C4⋊#595C2311yescharacteristic
216C2×C4⋊#595C2312yes—
217C2×C4⋊#595C2312yes—
218C2×C4⋊#595C2312yes—
219C2×C4⋊#595C2312yes—
220C2×C4×#595C2311yescharacteristic
221C2×C4×#595C2311yescharacteristic
222C2×C4×#595C2311yescharacteristic
223C2×C4×#595C2311yescharacteristic
224C2×C4×#595C2311yescharacteristic
225C2×C4×#595C2311yescharacteristic
226C2×C4×#595C2311yescharacteristic
227C2×C4×#595C2311yescharacteristic
228C2×C4×#595C2312yes—
229C2×C4×#595C2312yes—
230C2×C4×#595C2312yes—
231C2×C4×#595C2312yes—
232C17×#127C2×C411yescharacteristic, complemented
233C17×#127C2×C411yescharacteristic, complemented
234C17×#124C2×C411yescharacteristic, complemented
235C17×#124C2×C411yescharacteristic, complemented
236C17×#121C2×C412yescomplemented
237C17×#121C2×C412yescomplemented
238C17×#120C2×C412yescomplemented
239C17×#120C2×C412yescomplemented
240C17×#117C2×C411yescharacteristic, complemented
241#10587639C2×C412yescomplemented
242#10587639C2×C412yescomplemented
243#10587633C2×C411yescharacteristic, complemented
244#10587633C2×C411yescharacteristic, complemented
245#10587626C2×C411yescharacteristic, complemented
246#10587626C2×C411yescharacteristic, complemented
247#10587626C2×C412yescomplemented
248#10587626C2×C412yescomplemented
249#10587626C2×C412yescomplemented
250#10587626C2×C412yescomplemented
251#10587626C2×C411yescharacteristic, complemented
252#10587626C2×C411yescharacteristic, complemented
253#10587625C2×C412yescomplemented
254#10587625C2×C412yescomplemented
255#10587625C2×C412yescomplemented
256#10587625C2×C412yescomplemented
257#10587624C2×C412yescomplemented
258#10587624C2×C412yescomplemented
259#10587623C2×C412yescomplemented
260#10587623C2×C412yescomplemented
261#10587623C2×C412yescomplemented
262#10587623C2×C412yescomplemented
263#10587623C2×C412yescomplemented
264#10587623C2×C412yescomplemented
265#10587622C2×C411yescharacteristic, complemented
266#10587622C2×C411yescharacteristic, complemented
267#10587616C2×C412yescomplemented
268#10587616C2×C412yescomplemented
269#10587612C2×C411yescharacteristic, complemented
270#10587581C2×C412yescomplemented
271#10587581C2×C412yescomplemented
272#10587578C2×C411yescharacteristic, complemented
273#10587578C2×C411yescharacteristic, complemented
274C4⋊C4×D17C2311yescharacteristic
275C4⋊C4×D17C2311yescharacteristic
276#10587571C2×C412yescomplemented
277#10587571C2×C412yescomplemented
278#10587571C2×C412yescomplemented
279#10587571C2×C412yescomplemented
280#10587570C2×C412yescomplemented
281#10587570C2×C412yescomplemented
282#10587570C2×C412yescomplemented
283#10587570C2×C412yescomplemented
284#10587568C2×C412yescomplemented
285#10587568C2×C412yescomplemented
286#10587568C2×C412yescomplemented
287#10587568C2×C412yescomplemented
288#10587568C2×C412yescomplemented
289#10587568C2×C412yescomplemented
290C22⋊C4×D17C2312yes—
291C22⋊C4×D17C2312yes—
292C22⋊C4×D17C2312yes—
293C22⋊C4×D17C2312yes—
294C22⋊C4×D17C2311yescharacteristic
295C22⋊C4×D17C2311yescharacteristic
296#10587563C2×C411yescharacteristic, complemented
297#10587563C2×C411yescharacteristic, complemented
298#10587561C2×C411yescharacteristic, complemented
299#10587561C2×C411yescharacteristic, complemented
300#10587560C2×C411yescharacteristic, complemented
301#10587560C2×C411yescharacteristic, complemented
302#10587558C2×C411yescharacteristic, complemented
303#10587558C2×C411yescharacteristic, complemented
304C42×D17C2311yescharacteristic
305C42×D17C2311yescharacteristic
306(C2×#595)⋊C4C2311yescharacteristic
307(C2×#595)⋊C4C2312yes—
308(C2×#595)⋊C4C2312yes—
309(C2×#595)⋊C4C2312yes—
310(C2×#595)⋊C4C2311yescharacteristic
311(C2×#595)⋊C4C2311yescharacteristic
312(C2×#595)⋊C4C2311yescharacteristic
313(C2×#595)⋊C4C2311yescharacteristic
314(C2×#595)⋊C4C2311yescharacteristic
315(C2×#595)⋊C4C2311yescharacteristic
316(C2×#595)⋊C4C2311yescharacteristic
317(C2×#595)⋊C4C2312yes—
318(C2×#595)⋊C4C2311yescharacteristic
319(C2×#595)⋊C4C2311yescharacteristic
320(C2×#595)⋊C4C2312yes—
321(C2×#595)⋊C4C2312yes—
322(C2×#595)⋊C4C2312yes—
323(C2×#595)⋊C4C2312yes—
324(C2×#595)⋊C4C2312yes—
325(C2×#595)⋊C4C2312yes—
326(C2×#595)⋊C4C2311yescharacteristic
327(C2×#595)⋊C4C2311yescharacteristic
328C24×C17C22×C412yes—
329C23×D17—42no—
330C23×D17—42no—
331C23×D17—42no—
332C23×D17—42no—
333C23×D17—42no—
334C23×D17—42no—
335C23×D17C22×C412yes—
336C23×D17C22×C412yes—
337C23×D17C22×C412yes—
338C23×D17C2411yescharacteristic
339C23×D17C2412yes—
340C23×D17C2412yes—
341C23×D17C2412yes—
342C22×#595—24no—
343C22×#595—24no—
344C22×#595—24no—
345C22×#595—42no—
346C22×#595—42no—
347C22×#595—42no—
348C22×#595—42no—
349C22×#595—42no—
350C22×#595—42no—
351C22×#595—42no—
352C22×#595—42no—
353C22×#595—42no—
354C22×#595—42no—
355C22×#595—42no—
356C22×#595—42no—
357C22×#595—42no—
358C22×#595—42no—
359C22×#595—42no—
360C22×#595C2411yescharacteristic
361C22×#595C2411yescharacteristic
362C22×#595C2411yescharacteristic
363C22×#595C2412yes—
364C22×#595C2412yes—
365C22×#595C2411yescharacteristic
366C22×#595C2412yes—
367C22×#595C2411yescharacteristic
368C22×#595C2411yescharacteristic
369C22×#595C2412yes—
370C22×#595C2411yescharacteristic
371C22×#595C2411yescharacteristic
372#41×C17—42no—
373C2×Q8×C17C22×C411yescharacteristic
374C2×D4×C17—42no—
375C2×D4×C17C22×C411yescharacteristic
376C2×D4×C17C22×C411yescharacteristic
377C2×D4×C17C22×C411yescharacteristic
378C2×D4×C17C22×C412yes—
379C2×D4×C17C22×C412yes—
380C2×D4×C17C22×C412yes—
381C2×D4×C17C22×C412yes—
382C2×D4×C17C22×C412yes—
383C2×D4×C17C22×C412yes—
384C22×C4×C17C22×C411yescharacteristic
385C22×C4×C17C22×C412yes—
386C2×C22⋊D17—44no—
387C2×C22⋊D17C22×C412yes—
388C2×C22⋊D17C22×C412yes—
389C2×C22⋊D17C22×C412yes—
390C2×C22⋊D17C22×C412yes—
391C2×C22⋊D17C22×C412yes—
392C2×C22⋊D17C22×C412yes—
393C2×C22⋊D17C22×C412yes—
394C2×C22⋊D17C22×C412yes—
395C2×C22⋊D17C22×C412yes—
396C2×C22⋊D17C22×C412yes—
397C2×C22⋊D17C22×C412yes—
398C2×C22⋊D17C22×C412yes—
399C2×C22⋊D17C22×C412yes—
400C2×C22⋊D17C22×C412yes—
401C2×C22⋊D17C22×C412yes—
402C22×Dic17C22×C411yescharacteristic
403C22×Dic17C22×C412yes—
404#63256—42no—
405Q8×D17—22no—
406Q8×D17—22no—
407#63254—42no—
408#63254—44no—
409D4×D17—22no—
410D4×D17—22no—
411D4×D17—22no—
412D4×D17—22no—
413D4×D17—22no—
414D4×D17—22no—
415D4×D17—42no—
416D4×D17—42no—
417D4×D17—44no—
418D4×D17—42no—
419D4×D17—42no—
420D4×D17—42no—
421D4×D17—42no—
422D4×D17—42no—
423D4×D17—42no—
424D4×D17—42no—
425D4×D17—42no—
426D4×D17—42no—
427D4×D17—42no—
428D4×D17—42no—
429D4×D17—42no—
430#63252—44no—
431#63252—42no—
432C2×D68—42no—
433C2×D68C22×C411yescharacteristic
434C2×D68C22×C411yescharacteristic
435C2×D68C22×C411yescharacteristic
436C2×D68C22×C412yes—
437C2×D68C22×C412yes—
438C2×D68C22×C412yes—
439C2×D68C22×C412yes—
440C2×D68C22×C412yes—
441C2×D68C22×C412yes—
442C2×C4×D17—22no—
443C2×C4×D17—22no—
444C2×C4×D17—42no—
445C2×C4×D17—42no—
446C2×C4×D17C22×C411yescharacteristic
447C2×C4×D17C22×C411yescharacteristic
448C2×C4×D17C22×C412yes—
449C2×C4×D17C22×C412yes—
450C2×C4×D17C2412yes—
451C2×C4×D17C2411yescharacteristic
452C2×C4×D17C2411yescharacteristic
453C2×C4×D17C2411yescharacteristic
454C2×C4×D17C2411yescharacteristic
455C2×C4×D17C2411yescharacteristic
456C2×C4×D17C2411yescharacteristic
457C2×Dic34C22×C411yescharacteristic
458C2×Dic34C22×C412yes—
459C22⋊#595—24no—
460C22⋊#595—24no—
461C22⋊#595—24no—
462C22⋊#595—22no—
463C22⋊#595—22no—
464C22⋊#595—42no—
465C22⋊#595—42no—
466C22⋊#595—42no—
467C22⋊#595—42no—
468C22⋊#595—42no—
469C22⋊#595—42no—
470C22⋊#595—42no—
471C22⋊#595—42no—
472C22⋊#595—42no—
473C22⋊#595—42no—
474C22⋊#595—42no—
475C22⋊#595—42no—
476C22⋊#595—42no—
477C22⋊#595—42no—
478C22⋊#595—41no—
479C22⋊#595—41no—
480C22⋊#595—42no—
481C22⋊#595—42no—
482C22⋊#595—42no—
483C4⋊#595—22no—
484C4⋊#595—22no—
485C4⋊#595—22no—
486C4⋊#595—22no—
487C4⋊#595—22no—
488C4⋊#595—22no—
489C4⋊#595—41no—
490C4⋊#595—41no—
491C4⋊#595—42no—
492C4⋊#595—42no—
493C4⋊#595—42no—
494C4⋊#595—42no—
495C4×#595—22no—
496C4×#595—22no—
497C4×#595—22no—
498C4×#595—22no—
499C4×#595—22no—
500C4×#595—22no—
501C4×#595—41no—
502C4×#595—41no—
503C4×#595—42no—
504C4×#595—42no—
505C4×#595—42no—
506C4×#595—42no—
507C4⋊C4×C17C22×C411yescharacteristic
508C4⋊C4×C17C22×C411yescharacteristic
509C22⋊C4×C17C22×C412yes—
510C22⋊C4×C17C22×C412yes—
511C22⋊C4×C17C22×C412yes—
512C22⋊C4×C17C22×C412yes—
513C22⋊C4×C17C22×C411yescharacteristic
514C22⋊C4×C17C22×C411yescharacteristic
515C42×C17C22×C411yescharacteristic
516C42×C17C22×C411yescharacteristic
517C22⋊Dic17C22×C411yescharacteristic
518C22⋊Dic17C22×C411yescharacteristic
519C22⋊Dic17C22×C412yes—
520C22⋊Dic17C22×C412yes—
521C22⋊Dic17C22×C412yes—
522C22⋊Dic17C22×C412yes—
523#63227C22×C411yescharacteristic
524#63227C22×C411yescharacteristic
525#63227C22×C411yescharacteristic
526#63227C22×C411yescharacteristic
527#63227C22×C412yes—
528#63227C22×C412yes—
529#63227C22×C412yes—
530#63227C22×C412yes—
531#63227C22×C412yes—
532#63227C22×C412yes—
533#63227C22×C412yes—
534#63227C22×C412yes—
535C4⋊Dic17C22×C411yescharacteristic
536C4⋊Dic17C22×C411yescharacteristic
537#63225C22×C411yescharacteristic
538#63225C22×C411yescharacteristic
539#63225C22×C411yescharacteristic
540#63225C22×C411yescharacteristic
541C4×Dic17C22×C411yescharacteristic
542C4×Dic17C22×C411yescharacteristic
543C4×Dic17C22×C411yescharacteristic
544C4×Dic17C22×C411yescharacteristic
545C4×Dic17C22×C411yescharacteristic
546C4×Dic17C22×C411yescharacteristic
547#34438—171nomaximal, Sylow
548C23×C17—42no—
549C23×C17—42no—
550C23×C17—42no—
551C23×C17C23×C411yescharacteristic
552C23×C17C23×C412yes—
553C23×C17C23×C412yes—
554C23×C17C23×C412yes—
555C22×D17—21no—
556C22×D17—21no—
557C22×D17—22no—
558C22×D17—22no—
559C22×D17—22no—
560C22×D17—22no—
561C22×D17—22no—
562C22×D17—22no—
563C22×D17—22no—
564C22×D17—22no—
565C22×D17—22no—
566C22×D17—22no—
567C22×D17—22no—
568C22×D17—22no—
569C22×D17—21no—
570C22×D17—21no—
571C22×D17—22no—
572C22×D17—22no—
573C22×D17—22no—
574C22×D17—21no—
575C22×D17—21no—
576C22×D17—22no—
577C22×D17—22no—
578C22×D17—22no—
579C22×D17—42no—
580C22×D17—42no—
581C22×D17—42no—
582C22×D17—42no—
583C22×D17—42no—
584C22×D17—42no—
585C22×D17—42no—
586C22×D17—42no—
587C22×D17—42no—
588C22×D17—84no—
589C22×D17—84no—
590C22×D17—84no—
591C22×D17—84no—
592C22×D17C23×C412yes—
593C22×D17C23×C411yescharacteristic
594C22×D17C23×C412yes—
595C22×D17C23×C412yes—
596C22×D17C2511yescharacteristic
597C2×#595—21no—
598C2×#595—21no—
599C2×#595—21no—
600C2×#595—21no—
601C2×#595—21no—
602C2×#595—21no—
603C2×#595—21no—
604C2×#595—21no—
605C2×#595—21no—
606C2×#595—21no—
607C2×#595—21no—
608C2×#595—22no—
609C2×#595—22no—
610C2×#595—22no—
611C2×#595—22no—
612C2×#595—22no—
613C2×#595—22no—
614C2×#595—21no—
615C2×#595—22no—
616C2×#595—21no—
617C2×#595—22no—
618C2×#595—22no—
619C2×#595—22no—
620C2×#595—21no—
621C2×#595—21no—
622C2×#595—21no—
623C2×#595—21no—
624C2×#595—21no—
625C2×#595—21no—
626C2×#595—21no—
627C2×#595—21no—
628C2×#595—22no—
629C2×#595—21no—
630C2×#595—22no—
631C2×#595—84no—
632C2×#595—84no—
633C2×#595—84no—
634C2×#595—84no—
635C2×#595—84no—
636C2×#595—84no—
637C2×#595H(5,𝔽2)12yes—
638C2×#595H(5,𝔽2)12yes—
639Q8×C17—22no—
640D4×C17—22no—
641D4×C17—22no—
642D4×C17—22no—
643D4×C17—42no—
644D4×C17—42no—
645D4×C17—42no—
646D4×C17—42no—
647D4×C17—42no—
648D4×C17—42no—
649C2×C4×C17—22no—
650C2×C4×C17—42no—
651C2×C4×C17C23×C411yescharacteristic
652C2×C4×C17C23×C411yescharacteristic
653C2×C4×C17C23×C411yescharacteristic
654C2×C4×C17C23×C411yescharacteristic
655C2×C4×C17C23×C412yes—
656C2×C4×C17C23×C411yescharacteristic
657C2×C4×C17C23×C411yescharacteristic
658C22⋊D17—24no—
659C22⋊D17—24no—
660C22⋊D17—24no—
661C22⋊D17—42no—
662C22⋊D17—42no—
663C22⋊D17—42no—
664C22⋊D17—42no—
665C22⋊D17—42no—
666C22⋊D17—42no—
667C22⋊D17—42no—
668C22⋊D17—42no—
669C22⋊D17—42no—
670C22⋊D17—42no—
671C22⋊D17—42no—
672C22⋊D17—42no—
673C2×Dic17—22no—
674C2×Dic17—42no—
675C2×Dic17C23×C412yes—
676C2×Dic17C23×C411yescharacteristic
677C2×Dic17C23×C411yescharacteristic
678C2×Dic17C23×C411yescharacteristic
679C2×Dic17C23×C411yescharacteristic
680C2×Dic17C23×C411yescharacteristic
681C2×Dic17C23×C411yescharacteristic
682D68—22no—
683D68—22no—
684D68—22no—
685D68—42no—
686D68—42no—
687D68—42no—
688D68—42no—
689D68—42no—
690D68—42no—
691C4×D17—21no—
692C4×D17—21no—
693C4×D17—21no—
694C4×D17—21no—
695C4×D17—22no—
696C4×D17—22no—
697C4×D17—21no—
698C4×D17—21no—
699C4×D17—21no—
700C4×D17—21no—
701C4×D17—21no—
702C4×D17—21no—
703C4×D17—22no—
704C4×D17—22no—
705C4×D17—42no—
706C4×D17—42no—
707C4×D17H(5,𝔽2)12yes—
708C4×D17H(5,𝔽2)12yes—
709Dic34—22no—
710Dic34—24no—
711C2×#535—171no—
712#2377—172no—
713#2375—172no—
714#2367—171no—
715#2367—171no—
716#2366—171no—
717#2366—171no—
718#2364—172no—
719#2358—172no—
720#2341—171no—
721#2339—171no—
722D4×C22⋊C4—171no—
723D4×C22⋊C4—171no—
724#2333—172no—
725#2328—171no—
726#2326—171no—
727#2325—172no—
728#2321—172no—
729#2321—172no—
730#2314—171no—
731C4×#127—171no—
732C4×#124—171no—
733#2298—171no—
734C22×C17—21no—
735C22×C17—22no—
736C22×C17—22no—
737C22×C17—22no—
738C22×C17—22no—
739C22×C17—22no—
740C22×C17—22no—
741C22×C17—22no—
742C22×C17—22no—
743C22×C17—22no—
744C22×C17—21no—
745C22×C17—21no—
746C22×C17—84no—
747C22×C17C24×C411yescharacteristic
748C2×D17—21no—
749C2×D17—22no—
750C2×D17—22no—
751C2×D17—22no—
752C2×D17—22no—
753C2×D17—22no—
754C2×D17—22no—
755C2×D17—22no—
756C2×D17—22no—
757C2×D17—22no—
758C2×D17—21no—
759C2×D17—21no—
760C2×D17—42no—
761C2×D17—42no—
762C2×D17—42no—
763C2×D17—41no—
764C2×D17—42no—
765C2×D17—42no—
766C2×D17—42no—
767C2×D17—41no—
768C2×D17—42no—
769C2×D17—42no—
770C2×D17—42no—
771C2×D17—41no—
772C2×D17—42no—
773C2×D17—42no—
774C2×D17—42no—
775C2×D17—41no—
776C2×D17—84no—
777C2×D17—84no—
778C2×D17—84no—
779C2×D17C2×H(5,𝔽2)11yescharacteristic
780C2×D17C2×H(5,𝔽2)11yescharacteristic
781C2×D17C2×H(5,𝔽2)11yescharacteristic
782C2×D17C2×H(5,𝔽2)11yescharacteristic
783C2×D17#58511yescharacteristic
784C2×D17#58511yescharacteristic
785#595—22no—
786#595—22no—
787#595—42no—
788#595—41no—
789#595—42no—
790#595—41no—
791#595—42no—
792#595—41no—
793#595—41no—
794#595—42no—
795#595—41no—
796#595—41no—
797C4×C17—22no—
798C4×C17—21no—
799C4×C17—21no—
800C4×C17—21no—
801C4×C17—21no—
802C4×C17—21no—
803C4×C17#51812yes—
804Dic17—22no—
805Dic17—21no—
806Dic17—21no—
807Dic17—21no—
808Dic17—21no—
809Dic17—21no—
810Dic17#51812yes—
811C22×#41—171no—
812C23×D4—171no—
813#535—171no—
814#535—171no—
815#535—171no—
816#535—171no—
817#535—171no—
818#535—171no—
819#535—172no—
820#535—172no—
821#535—172no—
822#535—172no—
823#535—171no—
824#535#59511yescharacteristic, complemented
825C2×#127—171no—
826C2×#127—171no—
827C2×#124—171no—
828C2×#124—171no—
829C2×#121—172no—
830C2×#121—172no—
831C2×#120—172no—
832C2×#120—172no—
833C2×C4×Q8—171no—
834C2×C4×Q8—171no—
835C2×C4×D4—172no—
836C2×C4×D4—171no—
837C2×C4×D4—171no—
838C2×C4×D4—172no—
839C2×C4×D4—172no—
840C2×C4×D4—172no—
841C2×C4×D4—171no—
842C2×C4×D4—171no—
843C2×C4×D4—171no—
844C2×C4×D4—171no—
845C2×#117—171no—
846C22×C22⋊C4—172no—
847C22×C22⋊C4—172no—
848#391—171no—
849#391—171no—
850#390—172no—
851#390—171no—
852#390—171no—
853#390—172no—
854#390—172no—
855#390—172no—
856#390—172no—
857#390—171no—
858#390—171no—
859#390—171no—
860#390—172no—
861#390—171no—
862#388—172no—
863#388—172no—
864#388—171no—
865#388—171no—
866#388—172no—
867#388—172no—
868#388—172no—
869#388—172no—
870#388—172no—
871#388—172no—
872#388—172no—
873#388—171no—
874#388—171no—
875#388—172no—
876#387—172no—
877#387—172no—
878#387—171no—
879#387—171no—
880#387—171no—
881#387—171no—
882#386—172no—
883#386—172no—
884#386—172no—
885#386—172no—
886#386—172no—
887#386—172no—
888#386—172no—
889#386—172no—
890#386—172no—
891#386—172no—
892#386—172no—
893#386—172no—
894#386—172no—
895#386—172no—
896#385—172no—
897#385—172no—
898#385—172no—
899#385—172no—
900#384—171no—
901#382—171no—
902#381—172no—
903#380—171no—
904#380—171no—
905#380—172no—
906#379—172no—
907#379—172no—
908C4×C4⋊C4—171no—
909C4×C4⋊C4—171no—
910C4×C4⋊C4—171no—
911C4×C4⋊C4—171no—
912C4×C22⋊C4—172no—
913C4×C22⋊C4—172no—
914C4×C22⋊C4—172no—
915C4×C22⋊C4—172no—
916C4×C22⋊C4—171no—
917C4×C22⋊C4—171no—
918C4×C22⋊C4—172no—
919#376—171no—
920C2×#95—172no—
921C43—171no—
922C2×C17—41no—
923C2×C17—42no—
924C2×C17—42no—
925C2×C17—42no—
926C2×C17C2×#51811yescharacteristic
927C2×C17C4×H(5,𝔽2)11yescharacteristic
928C2×C17C4×H(5,𝔽2)11yescharacteristic
929D17—42no—
930D17—42no—
931D17—42no—
932D17—41no—
933D17#354311yescharacteristic
934D17#354611yescharacteristic
935D17#355811yescharacteristic
936D17#356211yescharacteristic
937C25—172no—
938C2×#41—171no—
939C2×#41—172no—
940C2×#41—171no—
941C2×#41—172no—
942C2×#41—171no—
943C2×#41—682no—
944C2×#41—682no—
945C2×#41C2×#59511yescharacteristic, complemented
946C22×Q8—171no—
947C22×D4—172no—
948C22×D4—171no—
949C22×D4—171no—
950C22×D4—171no—
951C22×D4—172no—
952C22×D4—172no—
953C22×D4—172no—
954C22×D4—172no—
955C22×D4—172no—
956C22×D4—172no—
957C22×D4—172no—
958C22×D4—171no—
959C22×D4—171no—
960C22×D4—171no—
961C22×D4—682no—
962C22×D4—682no—
963C22×D4C2×#59511yescharacteristic, complemented
964C23×C4—171no—
965C23×C4—172no—
966C23×C4—172no—
967C23×C4—172no—
968C23×C4—172no—
969C23×C4—172no—
970C23×C4—172no—
971C23×C4—172no—
972#127—172no—
973#127—172no—
974#127—172no—
975#127—172no—
976#127—171no—
977#127—171no—
978#127—171no—
979#127—171no—
980#127—171no—
981#127—171no—
982#127C2×#59511yescharacteristic, complemented
983#127C2×#59511yescharacteristic, complemented
984#124—171no—
985#124—171no—
986#124—171no—
987#124—171no—
988#124—172no—
989#124—172no—
990#124—172no—
991#124—172no—
992#124—171no—
993#124—171no—
994#124C2×#59511yescharacteristic, complemented
995#124C2×#59511yescharacteristic, complemented
996#121—172no—
997#121—172no—
998#121—172no—
999#121—172no—
1000#121—172no—
1001#121—172no—
1002#121—172no—
1003#121—172no—
1004#121—172no—
1005#121—172no—
1006#121—172no—
1007#121—172no—
1008#121—172no—
1009#121—172no—
1010#121C2×#59512yescomplemented
1011#121C2×#59512yescomplemented
1012#120—172no—
1013#120—172no—
1014#120—172no—
1015#120—172no—
1016#120—172no—
1017#120—172no—
1018#120—172no—
1019#120—172no—
1020#120—172no—
1021#120—172no—
1022#120—172no—
1023#120—172no—
1024#120—172no—
1025#120—172no—
1026#120C2×#59512yescomplemented
1027#120C2×#59512yescomplemented
1028C4×Q8—682no—
1029C4×Q8—682no—
1030C4×D4—684no—
1031C4×D4—682no—
1032C4×D4—682no—
1033C4×D4—682no—
1034C4×D4—682no—
1035C4×D4—682no—
1036C4×D4—682no—
1037C4×D4—684no—
1038C4×D4—684no—
1039C4×D4—684no—
1040#117—171no—
1041#117—171no—
1042#117—171no—
1043#117—171no—
1044#117—171no—
1045#117—171no—
1046#117—171no—
1047#117C2×#59511yescharacteristic, complemented
1048C2×C4⋊C4—171no—
1049C2×C4⋊C4—171no—
1050C2×C4⋊C4—171no—
1051C2×C4⋊C4—171no—
1052C2×C4⋊C4—171no—
1053C2×C4⋊C4—171no—
1054C2×C4⋊C4—171no—
1055C2×C4⋊C4—171no—
1056C2×C4⋊C4—172no—
1057C2×C4⋊C4—172no—
1058C2×C4⋊C4—172no—
1059C2×C4⋊C4—172no—
1060C2×C4⋊C4—171no—
1061C2×C4⋊C4—171no—
1062C2×C22⋊C4—171no—
1063C2×C22⋊C4—171no—
1064C2×C22⋊C4—172no—
1065C2×C22⋊C4—172no—
1066C2×C22⋊C4—172no—
1067C2×C22⋊C4—172no—
1068C2×C22⋊C4—171no—
1069C2×C22⋊C4—171no—
1070C2×C22⋊C4—172no—
1071C2×C22⋊C4—172no—
1072C2×C22⋊C4—172no—
1073C2×C22⋊C4—172no—
1074C2×C22⋊C4—172no—
1075C2×C22⋊C4—172no—
1076C2×C22⋊C4—172no—
1077C2×C22⋊C4—172no—
1078C2×C22⋊C4—172no—
1079C2×C22⋊C4—172no—
1080C2×C22⋊C4—172no—
1081C2×C22⋊C4—172no—
1082C2×C22⋊C4—172no—
1083C2×C22⋊C4—172no—
1084C2×C22⋊C4—172no—
1085C2×C22⋊C4—172no—
1086C2×C22⋊C4—172no—
1087C2×C22⋊C4—171no—
1088C2×C22⋊C4—171no—
1089C2×C22⋊C4—172no—
1090C2×C22⋊C4—172no—
1091C2×C22⋊C4—172no—
1092C2×C22⋊C4—684no—
1093C2×C22⋊C4—684no—
1094C2×C42—171no—
1095C2×C42—171no—
1096C2×C42—171no—
1097C2×C42—171no—
1098C2×C42—171no—
1099C2×C42—171no—
1100C2×C42—171no—
1101C2×C42—171no—
1102C2×C42—172no—
1103C2×C42—172no—
1104C2×C42—172no—
1105C2×C42—172no—
1106C2×C42—171no—
1107C2×C42—171no—
1108#95—171no—
1109#95—172no—
1110#95—172no—
1111#95—172no—
1112#95—171no—
1113#95—171no—
1114#95—171no—
1115#95—171no—
1116#95—171no—
1117#95—171no—
1118#95—171no—
1119#95—172no—
1120#95—171no—
1121#95—171no—
1122#95—172no—
1123#95—172no—
1124#95—172no—
1125#95—172no—
1126#95—172no—
1127#95—172no—
1128#95—171no—
1129#95—171no—
1130C17#3443811yescharacteristic, complemented, Sylow
1131C24—171no—
1132C24—172no—
1133C24—172no—
1134C24—172no—
1135C24—172no—
1136C24—172no—
1137C24—172no—
1138C24—682no—
1139C24—682no—
1140C24—682no—
1141C24—682no—
1142C24—682no—
1143C24—682no—
1144C24C22×#59512yes—
1145#41—42no—
1146#41—682no—
1147#41—684no—
1148#41—682no—
1149#41—684no—
1150#41—682no—
1151C2×Q8—172no—
1152C2×Q8—171no—
1153C2×Q8—342no—
1154C2×Q8—342no—
1155C2×Q8C22×#59511yescharacteristic
1156C2×D4—42no—
1157C2×D4—172no—
1158C2×D4—172no—
1159C2×D4—172no—
1160C2×D4—172no—
1161C2×D4—172no—
1162C2×D4—172no—
1163C2×D4—172no—
1164C2×D4—172no—
1165C2×D4—172no—
1166C2×D4—172no—
1167C2×D4—172no—
1168C2×D4—172no—
1169C2×D4—172no—
1170C2×D4—172no—
1171C2×D4—172no—
1172C2×D4—171no—
1173C2×D4—171no—
1174C2×D4—171no—
1175C2×D4—172no—
1176C2×D4—172no—
1177C2×D4—172no—
1178C2×D4—172no—
1179C2×D4—172no—
1180C2×D4—172no—
1181C2×D4—342no—
1182C2×D4—342no—
1183C2×D4—342no—
1184C2×D4—342no—
1185C2×D4—342no—
1186C2×D4—342no—
1187C2×D4—682no—
1188C2×D4—682no—
1189C2×D4—682no—
1190C2×D4—684no—
1191C2×D4—682no—
1192C2×D4—682no—
1193C2×D4—682no—
1194C2×D4—682no—
1195C2×D4—682no—
1196C2×D4—682no—
1197C2×D4—682no—
1198C2×D4—682no—
1199C2×D4—682no—
1200C2×D4—682no—
1201C2×D4—682no—
1202C2×D4—682no—
1203C2×D4—684no—
1204C2×D4C22×#59511yescharacteristic
1205C2×D4C22×#59511yescharacteristic
1206C2×D4C22×#59511yescharacteristic
1207C2×D4C22×#59512yes—
1208C2×D4C22×#59512yes—
1209C2×D4C22×#59512yes—
1210C2×D4C22×#59512yes—
1211C2×D4C22×#59512yes—
1212C2×D4C22×#59512yes—
1213C22×C4—171no—
1214C22×C4—171no—
1215C22×C4—171no—
1216C22×C4—171no—
1217C22×C4—172no—
1218C22×C4—171no—
1219C22×C4—171no—
1220C22×C4—171no—
1221C22×C4—171no—
1222C22×C4—171no—
1223C22×C4—171no—
1224C22×C4—171no—
1225C22×C4—172no—
1226C22×C4—172no—
1227C22×C4—172no—
1228C22×C4—171no—
1229C22×C4—171no—
1230C22×C4—172no—
1231C22×C4—171no—
1232C22×C4—171no—
1233C22×C4—172no—
1234C22×C4—171no—
1235C22×C4—172no—
1236C22×C4—171no—
1237C22×C4—172no—
1238C22×C4—342no—
1239C22×C4—342no—
1240C22×C4—344no—
1241C22×C4—344no—
1242C22×C4—344no—
1243C22×C4—682no—
1244C22×C4—682no—
1245C22×C4—682no—
1246C22×C4—682no—
1247C22×C4—682no—
1248C22×C4—682no—
1249C22×C4—682no—
1250C22×C4—682no—
1251C22×C4—682no—
1252C22×C4—682no—
1253C22×C4—682no—
1254C22×C4—682no—
1255C22×C4—682no—
1256C22×C4—682no—
1257C22×C4—682no—
1258C22×C4—682no—
1259C22×C4—682no—
1260C22×C4C22×#59511yescharacteristic
1261C22×C4C22×#59512yes—
1262C4⋊C4—171no—
1263C4⋊C4—171no—
1264C4⋊C4—171no—
1265C4⋊C4—171no—
1266C4⋊C4—171no—
1267C4⋊C4—171no—
1268C4⋊C4—342no—
1269C4⋊C4—342no—
1270C4⋊C4—342no—
1271C4⋊C4—342no—
1272C4⋊C4—342no—
1273C4⋊C4—342no—
1274C4⋊C4—681no—
1275C4⋊C4—681no—
1276C4⋊C4—682no—
1277C4⋊C4—682no—
1278C4⋊C4—682no—
1279C4⋊C4—682no—
1280C4⋊C4C22×#59511yescharacteristic
1281C4⋊C4C22×#59511yescharacteristic
1282C22⋊C4—171no—
1283C22⋊C4—171no—
1284C22⋊C4—172no—
1285C22⋊C4—172no—
1286C22⋊C4—172no—
1287C22⋊C4—172no—
1288C22⋊C4—171no—
1289C22⋊C4—171no—
1290C22⋊C4—171no—
1291C22⋊C4—171no—
1292C22⋊C4—172no—
1293C22⋊C4—172no—
1294C22⋊C4—172no—
1295C22⋊C4—172no—
1296C22⋊C4—172no—
1297C22⋊C4—172no—
1298C22⋊C4—172no—
1299C22⋊C4—172no—
1300C22⋊C4—342no—
1301C22⋊C4—342no—
1302C22⋊C4—344no—
1303C22⋊C4—344no—
1304C22⋊C4—344no—
1305C22⋊C4—682no—
1306C22⋊C4—681no—
1307C22⋊C4—681no—
1308C22⋊C4—682no—
1309C22⋊C4—682no—
1310C22⋊C4—682no—
1311C22⋊C4—682no—
1312C22⋊C4—682no—
1313C22⋊C4—682no—
1314C22⋊C4—682no—
1315C22⋊C4—682no—
1316C22⋊C4—682no—
1317C22⋊C4—682no—
1318C22⋊C4—682no—
1319C22⋊C4—682no—
1320C22⋊C4—682no—
1321C22⋊C4—682no—
1322C22⋊C4—682no—
1323C22⋊C4—682no—
1324C22⋊C4C22×#59511yescharacteristic
1325C22⋊C4C22×#59511yescharacteristic
1326C22⋊C4C22×#59512yes—
1327C22⋊C4C22×#59512yes—
1328C22⋊C4C22×#59512yes—
1329C22⋊C4C22×#59512yes—
1330C42—171no—
1331C42—171no—
1332C42—171no—
1333C42—171no—
1334C42—171no—
1335C42—171no—
1336C42—342no—
1337C42—342no—
1338C42—342no—
1339C42—342no—
1340C42—342no—
1341C42—342no—
1342C42—681no—
1343C42—681no—
1344C42—682no—
1345C42—682no—
1346C42—682no—
1347C42—682no—
1348C42C22×#59511yescharacteristic
1349C42C22×#59511yescharacteristic
1350C23—42no—
1351C23—42no—
1352C23—42no—
1353C23—171no—
1354C23—171no—
1355C23—172no—
1356C23—172no—
1357C23—172no—
1358C23—341no—
1359C23—341no—
1360C23—342no—
1361C23—342no—
1362C23—342no—
1363C23—342no—
1364C23—342no—
1365C23—342no—
1366C23—342no—
1367C23—342no—
1368C23—342no—
1369C23—342no—
1370C23—342no—
1371C23—342no—
1372C23—342no—
1373C23—342no—
1374C23—342no—
1375C23—341no—
1376C23—341no—
1377C23—341no—
1378C23—341no—
1379C23—342no—
1380C23—342no—
1381C23—342no—
1382C23—682no—
1383C23—682no—
1384C23—682no—
1385C23—682no—
1386C23—682no—
1387C23—682no—
1388C23—682no—
1389C23—682no—
1390C23—682no—
1391C23—1364no—
1392C23—1364no—
1393C23—1364no—
1394C23—1364no—
1395C23C23×#59511yescharacteristic
1396C23C23×#59512yes—
1397C23C23×#59512yes—
1398C23C23×#59512yes—
1399Q8—22no—
1400Q8—344no—
1401Q8—342no—
1402D4—22no—
1403D4—22no—
1404D4—22no—
1405D4—42no—
1406D4—42no—
1407D4—42no—
1408D4—42no—
1409D4—42no—
1410D4—42no—
1411D4—344no—
1412D4—344no—
1413D4—344no—
1414D4—342no—
1415D4—342no—
1416D4—342no—
1417D4—682no—
1418D4—682no—
1419D4—682no—
1420D4—682no—
1421D4—682no—
1422D4—682no—
1423D4—682no—
1424D4—682no—
1425D4—682no—
1426D4—682no—
1427D4—682no—
1428D4—682no—
1429D4—682no—
1430D4—682no—
1431D4—682no—
1432D4—682no—
1433D4—682no—
1434D4—682no—
1435C2×C4—22no—
1436C2×C4—42no—
1437C2×C4—171no—
1438C2×C4—172no—
1439C2×C4—172no—
1440C2×C4—172no—
1441C2×C4—172no—
1442C2×C4—171no—
1443C2×C4—171no—
1444C2×C4—171no—
1445C2×C4—171no—
1446C2×C4—172no—
1447C2×C4—171no—
1448C2×C4—342no—
1449C2×C4—341no—
1450C2×C4—341no—
1451C2×C4—341no—
1452C2×C4—341no—
1453C2×C4—342no—
1454C2×C4—342no—
1455C2×C4—341no—
1456C2×C4—341no—
1457C2×C4—341no—
1458C2×C4—341no—
1459C2×C4—341no—
1460C2×C4—341no—
1461C2×C4—342no—
1462C2×C4—341no—
1463C2×C4—341no—
1464C2×C4—341no—
1465C2×C4—341no—
1466C2×C4—342no—
1467C2×C4—341no—
1468C2×C4—341no—
1469C2×C4—341no—
1470C2×C4—341no—
1471C2×C4—341no—
1472C2×C4—341no—
1473C2×C4—341no—
1474C2×C4—342no—
1475C2×C4—342no—
1476C2×C4—342no—
1477C2×C4—341no—
1478C2×C4—342no—
1479C2×C4—342no—
1480C2×C4—342no—
1481C2×C4—341no—
1482C2×C4—341no—
1483C2×C4—341no—
1484C2×C4—341no—
1485C2×C4—342no—
1486C2×C4—342no—
1487C2×C4—341no—
1488C2×C4—342no—
1489C2×C4—342no—
1490C2×C4—341no—
1491C2×C4—341no—
1492C2×C4—341no—
1493C2×C4—342no—
1494C2×C4—341no—
1495C2×C4—342no—
1496C2×C4—341no—
1497C2×C4—682no—
1498C2×C4—682no—
1499C2×C4—682no—
1500C2×C4—1364no—
1501C2×C4—1364no—
1502C2×C4—1364no—
1503C2×C4—1364no—
1504C2×C4—1364no—
1505C2×C4—1364no—
1506C2×C4C23×#59511yescharacteristic
1507C2×C4C23×#59511yescharacteristic
1508C2×C4C23×#59511yescharacteristic
1509C2×C4C23×#59511yescharacteristic
1510C2×C4C23×#59512yes—
1511C2×C4C23×#59511yescharacteristic
1512C2×C4C23×#59511yescharacteristic
1513C22—21no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—21no—
1524C22—21no—
1525C22—84no—
1526C22—171no—
1527C22—171no—
1528C22—171no—
1529C22—171no—
1530C22—171no—
1531C22—171no—
1532C22—341no—
1533C22—342no—
1534C22—342no—
1535C22—342no—
1536C22—342no—
1537C22—342no—
1538C22—342no—
1539C22—342no—
1540C22—342no—
1541C22—342no—
1542C22—341no—
1543C22—341no—
1544C22—682no—
1545C22—682no—
1546C22—682no—
1547C22—682no—
1548C22—682no—
1549C22—682no—
1550C22—681no—
1551C22—681no—
1552C22—681no—
1553C22—681no—
1554C22—682no—
1555C22—682no—
1556C22—682no—
1557C22—682no—
1558C22—682no—
1559C22—682no—
1560C22—1364no—
1561C22—1364no—
1562C22—1364no—
1563C22C24×#59511yescharacteristic
1564C4—21no—
1565C4—22no—
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—21no—
1570C4—172no—
1571C4—342no—
1572C4—342no—
1573C4—341no—
1574C4—342no—
1575C4—341no—
1576C4—341no—
1577C4—341no—
1578C4—341no—
1579C4—681no—
1580C4—682no—
1581C4—681no—
1582C4—682no—
1583C4—681no—
1584C4—682no—
1585C4—682no—
1586C4—681no—
1587C4—681no—
1588C4—681no—
1589C4#1176387612yes—
1590C2—41no—
1591C2—42no—
1592C2—42no—
1593C2—42no—
1594C2—171no—
1595C2—171no—
1596C2—171no—
1597C2—171no—
1598C2—681no—
1599C2—682no—
1600C2—682no—
1601C2—682no—
1602C2C2×#1176387611yescharacteristic
1603C2H(5,𝔽2)×#59511yescharacteristic
1604C2H(5,𝔽2)×#59511yescharacteristic
subgroupG/H
center, FrattiniC22C24×#595
commutator, socleC22×C17C24×C4
FittingC17×#535C4
prime radicalD17×#535C2
cosocleC22×D17C25
hypercenter#535#595
hypocenterC17#34438
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22 ◁ #535

Complements

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

NH ≅ G/Ntype
1. #14545325C2semidirect
2. #14545323C2semidirect
3. #14545315C2semidirect
4. #14545315C2semidirect
5. #14545314C2semidirect
6. #14545314C2semidirect
7. #14545312C2semidirect
8. #14545306C2semidirect
9. #14545289C2semidirect
10. #14545287C2semidirect
11. D4×C22⋊#595C2semidirect
12. D4×C22⋊#595C2semidirect
13. #14545281C2semidirect
14. #14545276C2semidirect
15. #14545274C2semidirect
16. #14545273C2semidirect
17. #14545269C2semidirect
18. #14545269C2semidirect
19. #14545262C2semidirect
20. #127×#595C2semidirect
21. #124×#595C2semidirect
22. #14545246C2semidirect
24. C2×Q8×#595C22semidirect
25. C2×Q8×#595C22semidirect
30. C2×D4×#595C22semidirect
31. C2×D4×#595C22semidirect
32. C2×D4×#595C22semidirect
33. C2×D4×#595C22semidirect
34. C2×D4×#595C22semidirect
35. C2×D4×#595C22semidirect
38. (C2×#595)⋊Q8C22semidirect
39. (C2×#595)⋊Q8C22semidirect
46. #11763761C22semidirect
47. #11763761C22semidirect
48. #11763761C22semidirect
49. #11763761C22semidirect
50. #11763761C22semidirect
51. #11763761C22semidirect
58. #11763759C22semidirect
59. #11763759C22semidirect
60. #11763759C22semidirect
61. #11763759C22semidirect
62. #11763759C22semidirect
63. #11763759C22semidirect
64. #11763759C22semidirect
65. #11763759C22semidirect
66. #11763758C22semidirect
67. #11763758C22semidirect
68. #11763758C22semidirect
69. #11763758C22semidirect
70. #11763758C22semidirect
71. #11763758C22semidirect
78. #11763757C22semidirect
79. #11763757C22semidirect
80. #11763757C22semidirect
81. #11763757C22semidirect
82. #11763757C22semidirect
83. #11763757C22semidirect
84. #11763757C22semidirect
85. #11763757C22semidirect
86. #11763756C22semidirect
87. #11763756C22semidirect
88. #11763756C22semidirect
89. #11763756C22semidirect
90. #11763755C22semidirect
91. #11763753C22semidirect
92. #11763752C22semidirect
95. #11763751C22semidirect
98. C4×C4⋊#595C22semidirect
99. C4×C4⋊#595C22semidirect
100. C4×C4⋊#595C22semidirect
101. C4×C4⋊#595C22semidirect
102. C22⋊C4×#595C22semidirect
103. C22⋊C4×#595C22semidirect
104. C22⋊C4×#595C22semidirect
105. C22⋊C4×#595C22semidirect
108. C4×C22⋊#595C22semidirect
109. #11763745C22semidirect
110. C2×(C2×#595)⋊C4C22semidirect
111. C42×#595C22semidirect
114. #11763378C4semidirect
115. #11763377C4semidirect
116. #11763377C4semidirect
117. #11763376C4semidirect
118. #11763375C4semidirect
119. #11763375C4semidirect
120. #11763374C4semidirect
121. #11763374C4semidirect
122. #11763373C4semidirect
123. #11763372C4semidirect
124. #11763372C4semidirect
134. C17×#535C4semidirect
142. C2×#41×C17C2×C4semidirect
143. C22×D4×C17C2×C4semidirect
144. C22×C22⋊D17C2×C4semidirect
147. C2×#63256C2×C4semidirect
149. C2×#63254C2×C4semidirect
150. C2×#63254C2×C4semidirect
153. C2×D4×D17C2×C4semidirect
154. C2×D4×D17C2×C4semidirect
155. C2×D4×D17C2×C4semidirect
165. C2×#63252C2×C4semidirect
166. C2×#63252C2×C4semidirect
167. C22×D68C2×C4semidirect
232. C17×#127C2×C4semidirect
233. C17×#127C2×C4semidirect
234. C17×#124C2×C4semidirect
235. C17×#124C2×C4semidirect
236. C17×#121C2×C4semidirect
237. C17×#121C2×C4semidirect
238. C17×#120C2×C4semidirect
239. C17×#120C2×C4semidirect
240. C17×#117C2×C4semidirect
241. #10587639C2×C4semidirect
242. #10587639C2×C4semidirect
243. #10587633C2×C4semidirect
244. #10587633C2×C4semidirect
245. #10587626C2×C4semidirect
246. #10587626C2×C4semidirect
247. #10587626C2×C4semidirect
248. #10587626C2×C4semidirect
249. #10587626C2×C4semidirect
250. #10587626C2×C4semidirect
251. #10587626C2×C4semidirect
252. #10587626C2×C4semidirect
253. #10587625C2×C4semidirect
254. #10587625C2×C4semidirect
255. #10587625C2×C4semidirect
256. #10587625C2×C4semidirect
257. #10587624C2×C4semidirect
258. #10587624C2×C4semidirect
259. #10587623C2×C4semidirect
260. #10587623C2×C4semidirect
261. #10587623C2×C4semidirect
262. #10587623C2×C4semidirect
263. #10587623C2×C4semidirect
264. #10587623C2×C4semidirect
265. #10587622C2×C4semidirect
266. #10587622C2×C4semidirect
267. #10587616C2×C4semidirect
268. #10587616C2×C4semidirect
269. #10587612C2×C4semidirect
270. #10587581C2×C4semidirect
271. #10587581C2×C4semidirect
272. #10587578C2×C4semidirect
273. #10587578C2×C4semidirect
276. #10587571C2×C4semidirect
277. #10587571C2×C4semidirect
278. #10587571C2×C4semidirect
279. #10587571C2×C4semidirect
280. #10587570C2×C4semidirect
281. #10587570C2×C4semidirect
282. #10587570C2×C4semidirect
283. #10587570C2×C4semidirect
284. #10587568C2×C4semidirect
285. #10587568C2×C4semidirect
286. #10587568C2×C4semidirect
287. #10587568C2×C4semidirect
288. #10587568C2×C4semidirect
289. #10587568C2×C4semidirect
296. #10587563C2×C4semidirect
297. #10587563C2×C4semidirect
298. #10587561C2×C4semidirect
299. #10587561C2×C4semidirect
300. #10587560C2×C4semidirect
301. #10587560C2×C4semidirect
302. #10587558C2×C4semidirect
303. #10587558C2×C4semidirect
824. #535#595semidirect
945. C2×#41C2×#595semidirect
963. C22×D4C2×#595semidirect
982. #127C2×#595semidirect
983. #127C2×#595semidirect
994. #124C2×#595semidirect
995. #124C2×#595semidirect
1010. #121C2×#595semidirect
1011. #121C2×#595semidirect
1026. #120C2×#595semidirect
1027. #120C2×#595semidirect
1047. #117C2×#595semidirect
1130. C17#34438semidirect

Maximal subgroups

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

subgroupindex
#145453252
#145453232
#145453152
#145453142
#145453122
#145453062
#145452892
#145452872
D4×C22⋊#5952
#145452812
#145452762
#145452742
#145452732
#145452692
#145452622
#127×#5952
#124×#5952
#145452462
D17×#5352
#3443817