Finite Group Databasebeta

← C2×#14543424 #17941833

Subgroups — C2×#14543424 #17941833

Order 4352.

6554 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543424C2132yesmaximal, direct product factor
2C2×#11763563C211yesmaximal, characteristic, complemented
3C2×#11763561C211yesmaximal, characteristic, complemented
4C2×#11763557C211yesmaximal, characteristic, complemented
5C2×#11763555C211yesmaximal, characteristic, complemented
6C2×#11763536C211yesmaximal, characteristic, complemented
7C2×#11763532C211yesmaximal, characteristic, complemented
8C2×#11763531C211yesmaximal, characteristic, complemented
9C2×#11763526C211yesmaximal, characteristic, complemented
10C2×#11763522C211yesmaximal, characteristic, complemented
11C2×#11763513C211yesmaximal, characteristic, complemented
12C2×#11763510C211yesmaximal, characteristic, complemented
13C2×#11763510C211yesmaximal, characteristic, complemented
14C2×#11763497C211yesmaximal, characteristic, complemented
15C2×#11763492C211yesmaximal, characteristic, complemented
16C2×#11763491C211yesmaximal, characteristic, complemented
17C2×#11763491C211yesmaximal, characteristic, complemented
18C2×#11763439C211yesmaximal, characteristic, complemented
19C2×#11763436C211yesmaximal, characteristic, complemented
20C2×#11763433C211yesmaximal, characteristic, complemented
21C2×#11763431C211yesmaximal, characteristic, complemented
22C2×#11763429C211yesmaximal, characteristic, complemented
23C2×#11763425C211yesmaximal, characteristic, complemented
24C2×#11763425C211yesmaximal, characteristic, complemented
25C2×#11763425C211yesmaximal, characteristic, complemented
26C2×#11763418C211yesmaximal, characteristic, complemented
27C2×#11763408C211yesmaximal, characteristic, complemented
28C2×#11763407C211yesmaximal, characteristic, complemented
29C2×#11763363C211yesmaximal, characteristic, complemented
30C2×#11763344C211yesmaximal, characteristic, complemented
31C2×#11763342C211yesmaximal, characteristic, complemented
32C2×C17×#541C211yesmaximal, characteristic, complemented
33#11763563C22116yescomplemented
34#11763561C22116yescomplemented
35#11763557C22116yescomplemented
36#11763555C22116yescomplemented
37#11763536C22116yescomplemented
38#11763532C22116yescomplemented
39#11763531C22116yescomplemented
40#11763526C22116yescomplemented
41#11763522C22116yescomplemented
42#11763513C22116yescomplemented
43#11763510C22116yescomplemented
44#11763510C22116yescomplemented
45#11763497C22116yescomplemented
46#11763492C22116yescomplemented
47#11763491C22116yescomplemented
48#11763491C22116yescomplemented
49#11763439C22116yescomplemented
50#11763436C22116yescomplemented
51#11763433C22116yescomplemented
52#11763431C22116yescomplemented
53#11763429C22116yescomplemented
54#11763425C22116yescomplemented
55#11763425C22116yescomplemented
56#11763425C22116yescomplemented
57#11763418C22116yescomplemented
58#11763408C22116yescomplemented
59#11763407C22116yescomplemented
60#11763363C22116yescomplemented
61C2×#10587555C2211yescharacteristic
62C2×#10587574C2211yescharacteristic
63C2×#10587574C2211yescharacteristic
64C2×#10587574C2211yescharacteristic
65C2×#10587574C2211yescharacteristic
66C2×#10587574C2211yescharacteristic
67C2×#10587574C2211yescharacteristic
68C2×#10587630C2211yescharacteristic
69C2×#10587630C2211yescharacteristic
70#11763344C22116yescomplemented
71#11763342C22116yescomplemented
72C2×#10587584C2211yescharacteristic
73C2×#10587584C2211yescharacteristic
74C2×#10587584C2211yescharacteristic
75C2×#10587584C2211yescharacteristic
76C2×#10587584C2211yescharacteristic
77C2×#10587584C2211yescharacteristic
78C2×#10587584C2211yescharacteristic
79C2×#10587584C2211yescharacteristic
80C2×#10587584C2211yescharacteristic
81C2×#10587584C2211yescharacteristic
82C2×#10587584C2211yescharacteristic
83C2×#10587584C2211yescharacteristic
84C2×#10587562C2211yescharacteristic
85C2×#10587562C2211yescharacteristic
86C2×#10587562C2211yescharacteristic
87C2×#10587565C2211yescharacteristic
88C2×#10587556C2211yescharacteristic
89C2×#10587576C2211yescharacteristic
90C2×#10587576C2211yescharacteristic
91C2×#10587576C2211yescharacteristic
92C2×#10587575C2211yescharacteristic
93C2×#10587575C2211yescharacteristic
94C2×#10587575C2211yescharacteristic
95C2×#10587575C2211yescharacteristic
96C2×#10587575C2211yescharacteristic
97C2×#10587575C2211yescharacteristic
98C2×#10587575C2211yescharacteristic
99C2×#10587575C2211yescharacteristic
100C2×#10587575C2211yescharacteristic
101C2×#10587633C2211yescharacteristic
102C2×#10587633C2211yescharacteristic
103C2×#10587561C2211yescharacteristic
104C2×#10587561C2211yescharacteristic
105C2×#10587561C2211yescharacteristic
106C2×#10587561C2211yescharacteristic
107C2×#10587561C2211yescharacteristic
108C2×#10587571C2211yescharacteristic
109C2×#10587571C2211yescharacteristic
110C2×#10587571C2211yescharacteristic
111C2×#10587571C2211yescharacteristic
112C2×#10587571C2211yescharacteristic
113C2×#10587580C2211yescharacteristic
114C2×#10587580C2211yescharacteristic
115C2×#10587580C2211yescharacteristic
116C2×#10587580C2211yescharacteristic
117C2×#10587580C2211yescharacteristic
118C2×#10587580C2211yescharacteristic
119C2×#10587580C2211yescharacteristic
120C2×#10587580C2211yescharacteristic
121C2×#10587580C2211yescharacteristic
122C2×#10587580C2211yescharacteristic
123C2×#10587580C2211yescharacteristic
124C2×#10587572C2211yescharacteristic
125C2×#10587572C2211yescharacteristic
126C2×#10587572C2211yescharacteristic
127C2×#10587615C2211yescharacteristic
128C2×#10587569C2211yescharacteristic
129C2×#10587583C2211yescharacteristic
130C2×#10587583C2211yescharacteristic
131C2×#10587583C2211yescharacteristic
132C2×#10587583C2211yescharacteristic
133C2×#10587583C2211yescharacteristic
134C2×#10587582C2211yescharacteristic
135C2×#10587582C2211yescharacteristic
136C2×#10587582C2211yescharacteristic
137C2×#10587582C2211yescharacteristic
138C2×#10587582C2211yescharacteristic
139C2×#10587582C2211yescharacteristic
140C2×#10587582C2211yescharacteristic
141C2×#10587582C2211yescharacteristic
142C2×#10587582C2211yescharacteristic
143C2×#10587582C2211yescharacteristic
144C2×#10587582C2211yescharacteristic
145C2×#10587582C2211yescharacteristic
146C2×#10587564C2211yescharacteristic
147C2×#10587564C2211yescharacteristic
148C2×#10587564C2211yescharacteristic
149C2×#10587632C2211yescharacteristic
150C2×#10587632C2211yescharacteristic
151C2×#10587632C2211yescharacteristic
152C2×#10587632C2211yescharacteristic
153C2×#10587581C2211yescharacteristic
154C2×#10587581C2211yescharacteristic
155C2×#10587581C2211yescharacteristic
156C2×#10587581C2211yescharacteristic
157C2×#10587616C2211yescharacteristic
158C2×#10587570C2211yescharacteristic
159C2×#10587570C2211yescharacteristic
160C2×#10587570C2211yescharacteristic
161C2×#10587570C2211yescharacteristic
162C2×#10587570C2211yescharacteristic
163C2×C4×Dic34C2211yescharacteristic
164C2×C4×Dic34C2211yescharacteristic
165C2×C4×Dic34C2211yescharacteristic
166C2×C4×Dic34C2211yescharacteristic
167C2×C4×Dic34C2211yescharacteristic
168C2×#10587573C2211yescharacteristic
169C2×#10587573C2211yescharacteristic
170C2×#10587573C2211yescharacteristic
171C2×#10587573C2211yescharacteristic
172C2×#10587573C2211yescharacteristic
173C2×C4×D68C2211yescharacteristic
174C2×C4×D68C2211yescharacteristic
175C2×#10587579C2211yescharacteristic
176C2×#10587579C2211yescharacteristic
177C2×#10587579C2211yescharacteristic
178C2×#10587579C2211yescharacteristic
179C2×C4×C22⋊D17C2211yescharacteristic
180C2×#10587567C2211yescharacteristic
181C2×#10587567C2211yescharacteristic
182C2×#10587567C2211yescharacteristic
183C2×#10587567C2211yescharacteristic
184C2×#10587567C2211yescharacteristic
185C2×#10587578C2211yescharacteristic
186C2×#10587578C2211yescharacteristic
187C2×#10587578C2211yescharacteristic
188C2×#10587578C2211yescharacteristic
189C2×#10587578C2211yescharacteristic
190C2×#10587578C2211yescharacteristic
191C2×#10587558C2211yescharacteristic
192C2×#10587558C2211yescharacteristic
193C2×#10587558C2211yescharacteristic
194C2×#10587558C2211yescharacteristic
195C2×#10587558C2211yescharacteristic
196C2×#10587558C2211yescharacteristic
197C2×#10587563C2211yescharacteristic
198C22×#63225C2211yescharacteristic
199C2×C4⋊C4×D17C2211yescharacteristic
200C2×C4⋊C4×D17C2211yescharacteristic
201C2×C4⋊C4×D17C2211yescharacteristic
202C2×C42×D17C2211yescharacteristic
203C17×#541C22116yescomplemented
204C2×C17×C4⋊Q8C2211yescharacteristic
205C2×C17×#126C2211yescharacteristic
206C2×C17×#126C2211yescharacteristic
207C2×C17×#126C2211yescharacteristic
208C2×C17×#126C2211yescharacteristic
209C2×C17×#125C2211yescharacteristic
210C2×C17×#125C2211yescharacteristic
211C2×C17×#125C2211yescharacteristic
212C2×C17×#125C2211yescharacteristic
213C2×C17×#125C2211yescharacteristic
214C2×C17×C22⋊Q8C2211yescharacteristic
215C2×C17×C22⋊Q8C2211yescharacteristic
216C2×C4×Q8×C17C2211yescharacteristic
217C2×C4×Q8×C17C2211yescharacteristic
218C2×C17×#117C2211yescharacteristic
219C22×Q8×C17C2311yescharacteristic
220C22×Q8×C17C2311yescharacteristic
221C23×C4×C17C2311yescharacteristic
222C22×C22⋊D17C2311yescharacteristic
223C22×C22⋊D17C2311yescharacteristic
224C22×C22⋊D17C2311yescharacteristic
225C22×C22⋊D17C2311yescharacteristic
226C23×Dic17C2311yescharacteristic
227C23×Dic17C2311yescharacteristic
228C22×D68C2311yescharacteristic
229C22×D68C2311yescharacteristic
230C22×D68C2311yescharacteristic
231C22×D68C2311yescharacteristic
232C22×D68C2311yescharacteristic
233C22×D68C2311yescharacteristic
234C22×C4×D17C2311yescharacteristic
235C22×C4×D17C2311yescharacteristic
236C22×C4×D17C2311yescharacteristic
237C22×C4×D17C2311yescharacteristic
238C22×C4×D17C2311yescharacteristic
239C22×C4×D17C2311yescharacteristic
240C22×C4×D17C2311yescharacteristic
241C22×C4×D17C2311yescharacteristic
242C22×C4×D17C2311yescharacteristic
243C22×C4×D17C2311yescharacteristic
244C22×C4×D17C2311yescharacteristic
245C22×C4×D17C2311yescharacteristic
246C22×Dic34C2311yescharacteristic
247C22×Dic34C2311yescharacteristic
248C22×Dic34C2311yescharacteristic
249C22×Dic34C2311yescharacteristic
250C22×Dic34C2311yescharacteristic
251C22×Dic34C2311yescharacteristic
252C22×Dic34C2311yescharacteristic
253C22×Dic34C2311yescharacteristic
254C17×C4⋊Q8C2318yes—
255C17×#126C2318yes—
256C17×#126C2318yes—
257C17×#126C2318yes—
258C17×#126C2318yes—
259C17×#125C2318yes—
260C17×#125C2318yes—
261C17×#125C2318yes—
262C17×#125C2318yes—
263C17×#125C2318yes—
264C17×C22⋊Q8C2318yes—
265C17×C22⋊Q8C2318yes—
266C4×Q8×C17C2318yes—
267C4×Q8×C17C2318yes—
268C17×#117C2318yes—
269C2×C4⋊C4×C17C2311yescharacteristic
270C2×C4⋊C4×C17C2311yescharacteristic
271C2×C4⋊C4×C17C2311yescharacteristic
272C2×C4⋊C4×C17C2311yescharacteristic
273C2×C4⋊C4×C17C2311yescharacteristic
274C2×C4⋊C4×C17C2311yescharacteristic
275C2×C4⋊C4×C17C2311yescharacteristic
276C2×C4⋊C4×C17C2311yescharacteristic
277C2×C4⋊C4×C17C2311yescharacteristic
278C2×C4⋊C4×C17C2311yescharacteristic
279C2×C4⋊C4×C17C2311yescharacteristic
280C2×C4⋊C4×C17C2311yescharacteristic
281C2×C4⋊C4×C17C2311yescharacteristic
282C2×C4⋊C4×C17C2311yescharacteristic
283C2×C4⋊C4×C17C2311yescharacteristic
284C2×C4⋊C4×C17C2311yescharacteristic
285C2×C4⋊C4×C17C2311yescharacteristic
286C2×C4⋊C4×C17C2311yescharacteristic
287C2×C4⋊C4×C17C2311yescharacteristic
288C2×C4⋊C4×C17C2311yescharacteristic
289C2×C22⋊C4×C17C2311yescharacteristic
290C2×C22⋊C4×C17C2311yescharacteristic
291C2×C22⋊C4×C17C2311yescharacteristic
292C2×C22⋊C4×C17C2311yescharacteristic
293C2×C22⋊C4×C17C2311yescharacteristic
294C2×C22⋊C4×C17C2311yescharacteristic
295C2×C42×C17C2311yescharacteristic
296C2×C42×C17C2311yescharacteristic
297C2×C42×C17C2311yescharacteristic
298C2×C42×C17C2311yescharacteristic
299C2×C42×C17C2311yescharacteristic
300C2×C42×C17C2311yescharacteristic
301C2×C22⋊Dic17C2311yescharacteristic
302C2×C22⋊Dic17C2311yescharacteristic
303#10587633C2318yes—
304#10587633C2318yes—
305#10587632C2318yes—
306#10587632C2318yes—
307#10587632C2318yes—
308#10587632C2318yes—
309#10587630C2318yes—
310#10587630C2318yes—
311#10587616C2318yes—
312#10587615C2318yes—
313C4×C22⋊D17C2318yes—
314C2×#63227C2311yescharacteristic
315C2×#63227C2311yescharacteristic
316C2×#63227C2311yescharacteristic
317C2×#63227C2311yescharacteristic
318C2×#63227C2311yescharacteristic
319C2×#63227C2311yescharacteristic
320C2×#63227C2311yescharacteristic
321C2×#63227C2311yescharacteristic
322C2×#63227C2311yescharacteristic
323C2×#63227C2311yescharacteristic
324C2×#63227C2311yescharacteristic
325C2×#63227C2311yescharacteristic
326C2×#63227C2311yescharacteristic
327C2×#63227C2311yescharacteristic
328C2×#63227C2311yescharacteristic
329C2×#63227C2311yescharacteristic
330C2×#63227C2311yescharacteristic
331C2×#63227C2311yescharacteristic
332C2×#63227C2311yescharacteristic
333C2×#63227C2311yescharacteristic
334C2×#63227C2311yescharacteristic
335C2×#63227C2311yescharacteristic
336C2×#63227C2311yescharacteristic
337C2×#63227C2311yescharacteristic
338C2×#63227C2311yescharacteristic
339C2×#63227C2311yescharacteristic
340C2×#63227C2311yescharacteristic
341C2×#63227C2311yescharacteristic
342C2×#63227C2311yescharacteristic
343C2×#63227C2311yescharacteristic
344C2×#63227C2311yescharacteristic
345C2×#63227C2311yescharacteristic
346C2×C4⋊Dic17C2311yescharacteristic
347C2×C4⋊Dic17C2311yescharacteristic
348C2×C4⋊Dic17C2311yescharacteristic
349C2×C4⋊Dic17C2311yescharacteristic
350C2×C4⋊Dic17C2311yescharacteristic
351C2×C4⋊Dic17C2311yescharacteristic
352C2×C4⋊Dic17C2311yescharacteristic
353C2×C4⋊Dic17C2311yescharacteristic
354C2×C4⋊Dic17C2311yescharacteristic
355C2×C4⋊Dic17C2311yescharacteristic
356C2×C4⋊Dic17C2311yescharacteristic
357C2×C4⋊Dic17C2311yescharacteristic
358C2×#63225C2318yes—
359C2×#63225C2311yescharacteristic
360C2×#63225C2311yescharacteristic
361C2×#63225C2311yescharacteristic
362C2×#63225C2311yescharacteristic
363C2×#63225C2311yescharacteristic
364C2×#63225C2311yescharacteristic
365C2×#63225C2311yescharacteristic
366C2×#63225C2311yescharacteristic
367C2×#63225C2311yescharacteristic
368C2×#63225C2311yescharacteristic
369C2×#63225C2311yescharacteristic
370C2×#63225C2311yescharacteristic
371C2×#63225C2311yescharacteristic
372C2×#63225C2311yescharacteristic
373C2×#63225C2311yescharacteristic
374C2×#63225C2311yescharacteristic
375C2×#63225C2311yescharacteristic
376C2×#63225C2311yescharacteristic
377C2×#63225C2311yescharacteristic
378C2×#63225C2311yescharacteristic
379C2×#63225C2311yescharacteristic
380C2×#63225C2311yescharacteristic
381C2×#63225C2311yescharacteristic
382C2×#63225C2311yescharacteristic
383C2×#63225C2311yescharacteristic
384C2×#63225C2311yescharacteristic
385C2×#63225C2311yescharacteristic
386C2×#63225C2311yescharacteristic
387C2×C4×Dic17C2311yescharacteristic
388C2×C4×Dic17C2311yescharacteristic
389C2×C4×Dic17C2311yescharacteristic
390C2×C4×Dic17C2311yescharacteristic
391C2×C4×Dic17C2311yescharacteristic
392C2×C4×Dic17C2311yescharacteristic
393C2×C4×Dic17C2311yescharacteristic
394C2×C4×Dic17C2311yescharacteristic
395C2×C4×Dic17C2311yescharacteristic
396C2×C4×Dic17C2311yescharacteristic
397C2×C4×Dic17C2311yescharacteristic
398C2×C4×Dic17C2311yescharacteristic
399C2×C4×Dic17C2311yescharacteristic
400C2×C4×Dic17C2311yescharacteristic
401#10587584C2318yes—
402#10587584C2318yes—
403#10587584C2318yes—
404#10587584C2318yes—
405#10587584C2318yes—
406#10587584C2318yes—
407#10587584C2318yes—
408#10587584C2318yes—
409#10587584C2318yes—
410#10587584C2318yes—
411#10587584C2318yes—
412#10587584C2318yes—
413#10587583C2318yes—
414#10587583C2318yes—
415#10587583C2318yes—
416#10587583C2318yes—
417#10587583C2318yes—
418#10587582C2318yes—
419#10587582C2318yes—
420#10587582C2318yes—
421#10587582C2318yes—
422#10587582C2318yes—
423#10587582C2318yes—
424#10587582C2318yes—
425#10587582C2318yes—
426#10587582C2318yes—
427#10587582C2318yes—
428#10587582C2318yes—
429#10587582C2318yes—
430#10587581C2318yes—
431#10587581C2318yes—
432#10587581C2318yes—
433#10587581C2318yes—
434#10587580C2318yes—
435#10587580C2318yes—
436#10587580C2318yes—
437#10587580C2318yes—
438#10587580C2318yes—
439#10587580C2318yes—
440#10587580C2318yes—
441#10587580C2318yes—
442#10587580C2318yes—
443#10587580C2318yes—
444#10587580C2318yes—
445#10587579C2318yes—
446#10587579C2318yes—
447#10587579C2318yes—
448#10587579C2318yes—
449#10587578C2318yes—
450#10587578C2318yes—
451#10587578C2318yes—
452#10587578C2318yes—
453#10587578C2318yes—
454#10587578C2318yes—
455C4⋊C4×D17C2318yes—
456C4⋊C4×D17C2318yes—
457C4⋊C4×D17C2318yes—
458#10587576C2318yes—
459#10587576C2318yes—
460#10587576C2318yes—
461#10587575C2318yes—
462#10587575C2318yes—
463#10587575C2318yes—
464#10587575C2318yes—
465#10587575C2318yes—
466#10587575C2318yes—
467#10587575C2318yes—
468#10587575C2318yes—
469#10587575C2318yes—
470#10587574C2318yes—
471#10587574C2318yes—
472#10587574C2318yes—
473#10587574C2318yes—
474#10587574C2318yes—
475#10587574C2318yes—
476#10587573C2318yes—
477#10587573C2318yes—
478#10587573C2318yes—
479#10587573C2318yes—
480#10587573C2318yes—
481#10587572C2318yes—
482#10587572C2318yes—
483#10587572C2318yes—
484#10587571C2318yes—
485#10587571C2318yes—
486#10587571C2318yes—
487#10587571C2318yes—
488#10587571C2318yes—
489#10587570C2318yes—
490#10587570C2318yes—
491#10587570C2318yes—
492#10587570C2318yes—
493#10587570C2318yes—
494#10587569C2318yes—
495#10587567C2318yes—
496#10587567C2318yes—
497#10587567C2318yes—
498#10587567C2318yes—
499#10587567C2318yes—
500#10587565C2318yes—
501#10587564C2318yes—
502#10587564C2318yes—
503#10587564C2318yes—
504#10587563C2318yes—
505#10587562C2318yes—
506#10587562C2318yes—
507#10587562C2318yes—
508#10587561C2318yes—
509#10587561C2318yes—
510#10587561C2318yes—
511#10587561C2318yes—
512#10587561C2318yes—
513C4×D68C2318yes—
514C4×D68C2318yes—
515#10587558C2318yes—
516#10587558C2318yes—
517#10587558C2318yes—
518#10587558C2318yes—
519#10587558C2318yes—
520#10587558C2318yes—
521C42×D17C2318yes—
522#10587556C2318yes—
523#10587555C2318yes—
524C4×Dic34C2318yes—
525C4×Dic34C2318yes—
526C4×Dic34C2318yes—
527C4×Dic34C2318yes—
528C4×Dic34C2318yes—
529C24×C17C2411yescharacteristic
530C23×D17C2411yescharacteristic
531C23×D17C2411yescharacteristic
532C23×D17C2411yescharacteristic
533C23×D17C2411yescharacteristic
534C2×Q8×C17—42no—
535C2×Q8×C17—42no—
536C2×Q8×C17C2414yes—
537C2×Q8×C17C2414yes—
538C22×C4×C17—42no—
539C22×C4×C17C2411yescharacteristic
540C22×C4×C17C2411yescharacteristic
541C22×C4×C17C2411yescharacteristic
542C22×C4×C17C2411yescharacteristic
543C22×C4×C17C2411yescharacteristic
544C22×C4×C17C2411yescharacteristic
545C22×C4×C17C2411yescharacteristic
546C22×C4×C17C2411yescharacteristic
547C22×C4×C17C2411yescharacteristic
548C22×C4×C17C2411yescharacteristic
549C22×C4×C17C2411yescharacteristic
550C22×C4×C17C2411yescharacteristic
551C22×C4×C17C2411yescharacteristic
552C22×C4×C17C2411yescharacteristic
553C22×C4×C17C2414yes—
554C2×C22⋊D17—24no—
555C2×C22⋊D17—42no—
556C2×C22⋊D17—42no—
557C2×C22⋊D17—42no—
558C2×C22⋊D17C2414yes—
559C2×C22⋊D17C2414yes—
560C2×C22⋊D17C2414yes—
561C2×C22⋊D17C2414yes—
562C22×Dic17—42no—
563C22×Dic17—42no—
564C22×Dic17C2411yescharacteristic
565C22×Dic17C2411yescharacteristic
566C22×Dic17C2411yescharacteristic
567C22×Dic17C2411yescharacteristic
568C22×Dic17C2411yescharacteristic
569C22×Dic17C2411yescharacteristic
570C22×Dic17C2411yescharacteristic
571C22×Dic17C2411yescharacteristic
572C22×Dic17C2411yescharacteristic
573C22×Dic17C2411yescharacteristic
574C22×Dic17C2411yescharacteristic
575C22×Dic17C2414yes—
576C22×Dic17C2414yes—
577C22×Dic17C2411yescharacteristic
578C2×D68—42no—
579C2×D68—42no—
580C2×D68—42no—
581C2×D68—42no—
582C2×D68—42no—
583C2×D68—42no—
584C2×D68C2414yes—
585C2×D68C2414yes—
586C2×D68C2414yes—
587C2×D68C2414yes—
588C2×D68C2414yes—
589C2×D68C2414yes—
590C2×C4×D17—24no—
591C2×C4×D17—24no—
592C2×C4×D17—24no—
593C2×C4×D17—42no—
594C2×C4×D17—42no—
595C2×C4×D17—42no—
596C2×C4×D17—42no—
597C2×C4×D17—42no—
598C2×C4×D17—42no—
599C2×C4×D17—42no—
600C2×C4×D17—42no—
601C2×C4×D17—42no—
602C2×C4×D17C2414yes—
603C2×C4×D17C2414yes—
604C2×C4×D17C2414yes—
605C2×C4×D17C2414yes—
606C2×C4×D17C2414yes—
607C2×C4×D17C2414yes—
608C2×C4×D17C2414yes—
609C2×C4×D17C2414yes—
610C2×C4×D17C2414yes—
611C2×C4×D17C2414yes—
612C2×C4×D17C2414yes—
613C2×C4×D17C2414yes—
614C2×Dic34—24no—
615C2×Dic34—42no—
616C2×Dic34—42no—
617C2×Dic34—42no—
618C2×Dic34—42no—
619C2×Dic34—42no—
620C2×Dic34—42no—
621C2×Dic34—42no—
622C2×Dic34C2414yes—
623C2×Dic34C2414yes—
624C2×Dic34C2414yes—
625C2×Dic34C2414yes—
626C2×Dic34C2414yes—
627C2×Dic34C2414yes—
628C2×Dic34C2414yes—
629C2×Dic34C2414yes—
630C4⋊C4×C17C2414yes—
631C4⋊C4×C17C2414yes—
632C4⋊C4×C17C2414yes—
633C4⋊C4×C17C2414yes—
634C4⋊C4×C17C2414yes—
635C4⋊C4×C17C2414yes—
636C4⋊C4×C17C2414yes—
637C4⋊C4×C17C2414yes—
638C4⋊C4×C17C2414yes—
639C4⋊C4×C17C2414yes—
640C4⋊C4×C17C2414yes—
641C4⋊C4×C17C2414yes—
642C4⋊C4×C17C2414yes—
643C4⋊C4×C17C2414yes—
644C4⋊C4×C17C2414yes—
645C4⋊C4×C17C2414yes—
646C4⋊C4×C17C2414yes—
647C4⋊C4×C17C2414yes—
648C4⋊C4×C17C2414yes—
649C4⋊C4×C17C2414yes—
650C22⋊C4×C17C2414yes—
651C22⋊C4×C17C2414yes—
652C22⋊C4×C17C2414yes—
653C22⋊C4×C17C2414yes—
654C22⋊C4×C17C2414yes—
655C22⋊C4×C17C2414yes—
656C42×C17C2414yes—
657C42×C17C2414yes—
658C42×C17C2414yes—
659C42×C17C2414yes—
660C42×C17C2414yes—
661C42×C17C2414yes—
662C22⋊Dic17C2414yes—
663C22⋊Dic17C2414yes—
664#63227C2414yes—
665#63227C2414yes—
666#63227C2414yes—
667#63227C2414yes—
668#63227C2414yes—
669#63227C2414yes—
670#63227C2414yes—
671#63227C2414yes—
672#63227C2414yes—
673#63227C2414yes—
674#63227C2414yes—
675#63227C2414yes—
676#63227C2414yes—
677#63227C2414yes—
678#63227C2414yes—
679#63227C2414yes—
680#63227C2414yes—
681#63227C2414yes—
682#63227C2414yes—
683#63227C2414yes—
684#63227C2414yes—
685#63227C2414yes—
686#63227C2414yes—
687#63227C2414yes—
688#63227C2414yes—
689#63227C2414yes—
690#63227C2414yes—
691#63227C2414yes—
692#63227C2414yes—
693#63227C2414yes—
694#63227C2414yes—
695#63227C2414yes—
696C4⋊Dic17C2414yes—
697C4⋊Dic17C2414yes—
698C4⋊Dic17C2414yes—
699C4⋊Dic17C2414yes—
700C4⋊Dic17C2414yes—
701C4⋊Dic17C2414yes—
702C4⋊Dic17C2414yes—
703C4⋊Dic17C2414yes—
704C4⋊Dic17C2414yes—
705C4⋊Dic17C2414yes—
706C4⋊Dic17C2414yes—
707C4⋊Dic17C2414yes—
708#63225C2414yes—
709#63225C2414yes—
710#63225C2414yes—
711#63225C2414yes—
712#63225C2414yes—
713#63225C2414yes—
714#63225C2414yes—
715#63225C2414yes—
716#63225C2414yes—
717#63225C2414yes—
718#63225C2414yes—
719#63225C2414yes—
720#63225C2414yes—
721#63225C2414yes—
722#63225C2414yes—
723#63225C2414yes—
724#63225C2414yes—
725#63225C2414yes—
726#63225C2414yes—
727#63225C2414yes—
728#63225C2414yes—
729#63225C2414yes—
730#63225C2414yes—
731#63225C2414yes—
732#63225C2414yes—
733#63225C2414yes—
734#63225C2414yes—
735#63225C2414yes—
736C4×Dic17C2414yes—
737C4×Dic17C2414yes—
738C4×Dic17C2414yes—
739C4×Dic17C2414yes—
740C4×Dic17C2414yes—
741C4×Dic17C2414yes—
742C4×Dic17C2414yes—
743C4×Dic17C2414yes—
744C4×Dic17C2414yes—
745C4×Dic17C2414yes—
746C4×Dic17C2414yes—
747C4×Dic17C2414yes—
748C4×Dic17C2414yes—
749C4×Dic17C2414yes—
750C2×#3565—171nomaximal, Sylow
751C23×C17—22no—
752C23×C17—22no—
753C23×C17—22no—
754C23×C17C2512yes—
755C23×C17C2511yescharacteristic
756C22×D17—22no—
757C22×D17—22no—
758C22×D17—22no—
759C22×D17—22no—
760C22×D17—22no—
761C22×D17—22no—
762C22×D17—22no—
763C22×D17—22no—
764C22×D17—22no—
765C22×D17—22no—
766C22×D17—22no—
767C22×D17—22no—
768C22×D17C2512yes—
769C22×D17C2512yes—
770C22×D17C2512yes—
771C22×D17C2512yes—
772Q8×C17—44no—
773Q8×C17—44no—
774C2×C4×C17—22no—
775C2×C4×C17—22no—
776C2×C4×C17—22no—
777C2×C4×C17—22no—
778C2×C4×C17—22no—
779C2×C4×C17—22no—
780C2×C4×C17—22no—
781C2×C4×C17—22no—
782C2×C4×C17—22no—
783C2×C4×C17—22no—
784C2×C4×C17—22no—
785C2×C4×C17—22no—
786C2×C4×C17—22no—
787C2×C4×C17—22no—
788C2×C4×C17—44no—
789C2×C4×C17C2512yes—
790C2×C4×C17C2512yes—
791C2×C4×C17C2512yes—
792C2×C4×C17C2512yes—
793C2×C4×C17C2512yes—
794C2×C4×C17C2512yes—
795C2×C4×C17C2512yes—
796C2×C4×C17C2512yes—
797C2×C4×C17C2512yes—
798C2×C4×C17C2512yes—
799C2×C4×C17C2512yes—
800C2×C4×C17C2512yes—
801C2×C4×C17C2512yes—
802C2×C4×C17C2512yes—
803C22⋊D17—28no—
804C22⋊D17—44no—
805C22⋊D17—44no—
806C22⋊D17—44no—
807C2×Dic17—22no—
808C2×Dic17—22no—
809C2×Dic17—22no—
810C2×Dic17—22no—
811C2×Dic17—22no—
812C2×Dic17—22no—
813C2×Dic17—22no—
814C2×Dic17—22no—
815C2×Dic17—22no—
816C2×Dic17—22no—
817C2×Dic17—22no—
818C2×Dic17—44no—
819C2×Dic17—44no—
820C2×Dic172−1+414yes—
821C2×Dic17C2512yes—
822C2×Dic17C2512yes—
823C2×Dic17C2512yes—
824C2×Dic17C2512yes—
825C2×Dic17C2512yes—
826C2×Dic17C2512yes—
827C2×Dic17C2512yes—
828C2×Dic17C2512yes—
829C2×Dic17C2512yes—
830C2×Dic17C2512yes—
831C2×Dic17C2512yes—
832C2×Dic17C2512yes—
833D68—44no—
834D68—44no—
835D68—44no—
836D68—44no—
837D68—44no—
838D68—44no—
839C4×D17—28no—
840C4×D17—28no—
841C4×D17—28no—
842C4×D17—44no—
843C4×D17—44no—
844C4×D17—44no—
845C4×D17—44no—
846C4×D17—44no—
847C4×D17—44no—
848C4×D17—44no—
849C4×D17—44no—
850C4×D17—44no—
851Dic34—28no—
852Dic34—44no—
853Dic34—44no—
854Dic34—44no—
855Dic34—44no—
856Dic34—44no—
857Dic34—44no—
858Dic34—44no—
859#3565—1732no—
860C2×#563—171no—
861C2×#563—171no—
862C2×#562—171no—
863C2×#562—171no—
864C2×#557—171no—
865C2×#556—171no—
866C2×#556—171no—
867C2×#556—171no—
868C2×#555—171no—
869C2×#554—171no—
870C2×#553—171no—
871C2×#553—171no—
872C2×#552—171no—
873C2×#552—171no—
874C2×#552—171no—
875C2×#552—171no—
876C2×#544—171no—
877C2×#544—171no—
878C2×#542—171no—
879C2×#542—171no—
880C2×#542—171no—
881C2×#542—171no—
882C2×#542—171no—
883C2×#542—171no—
884C2×#541—171no—
885C2×#541D1711yescharacteristic, complemented
886C2×#539—171no—
887C2×#539—171no—
888C2×#533—171no—
889C2×#529—171no—
890C2×#529—171no—
891C22×C17—22no—
892C22×C17—22no—
893C22×C17—22no—
894C22×C17—44no—
895C22×C17C2×2−1+412yes—
896C22×C17#58512yes—
897C22×C17#58512yes—
898C22×C17C2611yescharacteristic
899C2×D17—22no—
900C2×D17—22no—
901C2×D17—22no—
902C2×D17—22no—
903C2×D17—22no—
904C2×D17—22no—
905C2×D17—22no—
906C2×D17—22no—
907C2×D17—22no—
908C2×D17—22no—
909C2×D17—22no—
910C2×D17—22no—
911C2×D17—44no—
912C2×D17—44no—
913C2×D17—44no—
914C2×D17—44no—
915C4×C17—22no—
916C4×C17—22no—
917C4×C17—22no—
918C4×C17—22no—
919C4×C17—22no—
920C4×C17—22no—
921C4×C17—22no—
922C4×C17—22no—
923C4×C17—22no—
924C4×C17—22no—
925C4×C17—22no—
926C4×C17—22no—
927C4×C17—22no—
928C4×C17—22no—
929Dic17—22no—
930Dic17—22no—
931Dic17—22no—
932Dic17—22no—
933Dic17—22no—
934Dic17—22no—
935Dic17—22no—
936Dic17—22no—
937Dic17—22no—
938Dic17—22no—
939Dic17—22no—
940Dic17C2×2−1+414yes—
941#563—1716no—
942#563—1716no—
943#562—1716no—
944#562—1716no—
945#557—1716no—
946#556—1716no—
947#556—1716no—
948#556—1716no—
949#555—1716no—
950#554—1716no—
951#553—1716no—
952#553—1716no—
953#552—1716no—
954#552—1716no—
955#552—1716no—
956#552—1716no—
957#544—1716no—
958#544—1716no—
959#542—1716no—
960#542—1716no—
961#542—1716no—
962#542—1716no—
963#542—1716no—
964#542—1716no—
965#541—1716no—
966#541C2×D17116yescomplemented
967#539—1716no—
968#539—1716no—
969#533—1716no—
970C2×C4⋊Q8—171no—
971C2×C4⋊Q8—171no—
972C2×C4⋊Q8—171no—
973C2×C4⋊Q8—171no—
974C2×C4⋊Q8—171no—
975C2×C4⋊Q8—171no—
976C2×C4⋊Q8—171no—
977C2×C4⋊Q8—171no—
978C2×C4⋊Q8—171no—
979C2×C4⋊Q8C2×D1711yescharacteristic
980#529—1716no—
981#529—1716no—
982C2×#126—171no—
983C2×#126—171no—
984C2×#126—171no—
985C2×#126—171no—
986C2×#126—171no—
987C2×#126—171no—
988C2×#126—171no—
989C2×#126—171no—
990C2×#126—171no—
991C2×#126—171no—
992C2×#126—171no—
993C2×#126—171no—
994C2×#126—171no—
995C2×#126—171no—
996C2×#126—171no—
997C2×#126—171no—
998C2×#126C2×D1711yescharacteristic
999C2×#126C2×D1711yescharacteristic
1000C2×#126C2×D1711yescharacteristic
1001C2×#126C2×D1711yescharacteristic
1002C2×#125—171no—
1003C2×#125—171no—
1004C2×#125—171no—
1005C2×#125—171no—
1006C2×#125—171no—
1007C2×#125—171no—
1008C2×#125—171no—
1009C2×#125—171no—
1010C2×#125—171no—
1011C2×#125—171no—
1012C2×#125—171no—
1013C2×#125—171no—
1014C2×#125—171no—
1015C2×#125C2×D1711yescharacteristic
1016C2×#125C2×D1711yescharacteristic
1017C2×#125C2×D1711yescharacteristic
1018C2×#125C2×D1711yescharacteristic
1019C2×#125C2×D1711yescharacteristic
1020C2×#124—171no—
1021C2×#124—171no—
1022C2×#124—171no—
1023C2×#124—171no—
1024C2×#124—171no—
1025C2×#124—171no—
1026C2×#124—171no—
1027C2×#124—171no—
1028C2×#124—171no—
1029C2×#124—171no—
1030C2×#124—171no—
1031C2×#124—171no—
1032C2×#123—171no—
1033C2×#123—171no—
1034C2×#123—171no—
1035C2×#123—171no—
1036C2×#123—171no—
1037C2×#123—171no—
1038C2×#123—171no—
1039C2×#123—171no—
1040C2×#123—171no—
1041C2×#123—171no—
1042C2×#123—171no—
1043C2×#123—171no—
1044C2×#123—171no—
1045C2×#123—171no—
1046C2×#123—171no—
1047C2×#123—171no—
1048C2×C22⋊Q8—171no—
1049C2×C22⋊Q8—171no—
1050C2×C22⋊Q8—171no—
1051C2×C22⋊Q8—171no—
1052C2×C22⋊Q8—171no—
1053C2×C22⋊Q8—171no—
1054C2×C22⋊Q8—171no—
1055C2×C22⋊Q8—171no—
1056C2×C22⋊Q8—171no—
1057C2×C22⋊Q8—171no—
1058C2×C22⋊Q8—171no—
1059C2×C22⋊Q8—171no—
1060C2×C22⋊Q8—171no—
1061C2×C22⋊Q8—171no—
1062C2×C22⋊Q8—171no—
1063C2×C22⋊Q8—171no—
1064C2×C22⋊Q8—171no—
1065C2×C22⋊Q8—171no—
1066C2×C22⋊Q8—171no—
1067C2×C22⋊Q8—171no—
1068C2×C22⋊Q8—171no—
1069C2×C22⋊Q8—171no—
1070C2×C22⋊Q8—171no—
1071C2×C22⋊Q8—171no—
1072C2×C22⋊Q8C2×D1711yescharacteristic
1073C2×C22⋊Q8C2×D1711yescharacteristic
1074C2×#121—171no—
1075C2×#121—171no—
1076C2×#121—171no—
1077C2×#121—171no—
1078C2×#121—171no—
1079C2×#121—171no—
1080C2×#121—171no—
1081C2×#121—171no—
1082C2×#121—171no—
1083C2×#121—171no—
1084C2×C4×Q8—171no—
1085C2×C4×Q8—171no—
1086C2×C4×Q8—171no—
1087C2×C4×Q8—171no—
1088C2×C4×Q8—171no—
1089C2×C4×Q8—171no—
1090C2×C4×Q8—171no—
1091C2×C4×Q8—171no—
1092C2×C4×Q8—171no—
1093C2×C4×Q8—171no—
1094C2×C4×Q8C2×D1711yescharacteristic
1095C2×C4×Q8C2×D1711yescharacteristic
1096C2×C4×D4—171no—
1097C2×C4×D4—171no—
1098C2×C4×D4—171no—
1099C2×C4×D4—171no—
1100C2×C4×D4—171no—
1101C2×C4×D4—171no—
1102C2×C4×D4—171no—
1103C2×C4×D4—171no—
1104C2×C4×D4—171no—
1105C2×C4×D4—171no—
1106C2×C4×D4—171no—
1107C2×C4×D4—171no—
1108C2×#117—171no—
1109C2×#117—171no—
1110C2×#117—171no—
1111C2×#117—171no—
1112C2×#117—171no—
1113C2×#117—171no—
1114C2×#117—171no—
1115C2×#117—171no—
1116C2×#117—171no—
1117C2×#117—171no—
1118C2×#117—171no—
1119C2×#117—171no—
1120C2×#117—171no—
1121C2×#117C2×D1711yescharacteristic
1122C22×C4⋊C4—171no—
1123C22×C4⋊C4—171no—
1124C22×C4⋊C4—171no—
1125C22×C4⋊C4—171no—
1126C22×C42—171no—
1127C2×C17—42no—
1128C2×C17#356514yescomplemented
1129C2×C17C22×2−1+411yescharacteristic
1130C2×C17C2×#58511yescharacteristic
1131C2×C17C2×#58511yescharacteristic
1132D17—42no—
1133D17—42no—
1134D17—42no—
1135D17—42no—
1136C22×Q8—171no—
1137C22×Q8—171no—
1138C22×Q8—171no—
1139C22×Q8—171no—
1140C22×Q8—171no—
1141C22×Q8—171no—
1142C22×Q8—171no—
1143C22×Q8—171no—
1144C22×Q8C22×D1711yescharacteristic
1145C22×Q8C22×D1711yescharacteristic
1146C22×D4—171no—
1147C22×D4—171no—
1148C22×D4—171no—
1149C22×D4—171no—
1150C22×D4—171no—
1151C22×D4—171no—
1152C22×D4—171no—
1153C22×D4—171no—
1154C22×D4—171no—
1155C22×D4—171no—
1156C23×C4—171no—
1157C23×C4—171no—
1158C23×C4—171no—
1159C23×C4—171no—
1160C23×C4—171no—
1161C23×C4—171no—
1162C23×C4—171no—
1163C23×C4—171no—
1164C23×C4—171no—
1165C23×C4—171no—
1166C23×C4—171no—
1167C23×C4—171no—
1168C23×C4—171no—
1169C23×C4—171no—
1170C23×C4C22×D1711yescharacteristic
1171C4⋊Q8—178no—
1172C4⋊Q8—178no—
1173C4⋊Q8—178no—
1174C4⋊Q8—178no—
1175C4⋊Q8—178no—
1176C4⋊Q8—178no—
1177C4⋊Q8—178no—
1178C4⋊Q8—178no—
1179C4⋊Q8—178no—
1180C4⋊Q8C22×D1718yes—
1181#126—178no—
1182#126—178no—
1183#126—178no—
1184#126—178no—
1185#126—178no—
1186#126—178no—
1187#126—178no—
1188#126—178no—
1189#126—178no—
1190#126—178no—
1191#126—178no—
1192#126—178no—
1193#126—178no—
1194#126—178no—
1195#126—178no—
1196#126—178no—
1197#126C22×D1718yes—
1198#126C22×D1718yes—
1199#126C22×D1718yes—
1200#126C22×D1718yes—
1201#125—178no—
1202#125—178no—
1203#125—178no—
1204#125—178no—
1205#125—178no—
1206#125—178no—
1207#125—178no—
1208#125—178no—
1209#125—178no—
1210#125—178no—
1211#125—178no—
1212#125—178no—
1213#125—178no—
1214#125C22×D1718yes—
1215#125C22×D1718yes—
1216#125C22×D1718yes—
1217#125C22×D1718yes—
1218#125C22×D1718yes—
1219#124—178no—
1220#124—178no—
1221#124—178no—
1222#124—178no—
1223#124—178no—
1224#124—178no—
1225#124—178no—
1226#124—178no—
1227#124—178no—
1228#124—178no—
1229#124—178no—
1230#124—178no—
1231#123—178no—
1232#123—178no—
1233#123—178no—
1234#123—178no—
1235#123—178no—
1236#123—178no—
1237#123—178no—
1238#123—178no—
1239#123—178no—
1240#123—178no—
1241#123—178no—
1242#123—178no—
1243#123—178no—
1244#123—178no—
1245#123—178no—
1246#123—178no—
1247C22⋊Q8—178no—
1248C22⋊Q8—178no—
1249C22⋊Q8—178no—
1250C22⋊Q8—178no—
1251C22⋊Q8—178no—
1252C22⋊Q8—178no—
1253C22⋊Q8—178no—
1254C22⋊Q8—178no—
1255C22⋊Q8—178no—
1256C22⋊Q8—178no—
1257C22⋊Q8—178no—
1258C22⋊Q8—178no—
1259C22⋊Q8—178no—
1260C22⋊Q8—178no—
1261C22⋊Q8—178no—
1262C22⋊Q8—178no—
1263C22⋊Q8—178no—
1264C22⋊Q8—178no—
1265C22⋊Q8—178no—
1266C22⋊Q8—178no—
1267C22⋊Q8—178no—
1268C22⋊Q8—178no—
1269C22⋊Q8—178no—
1270C22⋊Q8—178no—
1271C22⋊Q8C22×D1718yes—
1272C22⋊Q8C22×D1718yes—
1273#121—178no—
1274#121—178no—
1275#121—178no—
1276#121—178no—
1277#121—178no—
1278#121—178no—
1279#121—178no—
1280#121—178no—
1281#121—178no—
1282#121—178no—
1283C4×Q8—178no—
1284C4×Q8—178no—
1285C4×Q8—178no—
1286C4×Q8—178no—
1287C4×Q8—178no—
1288C4×Q8—178no—
1289C4×Q8—178no—
1290C4×Q8—178no—
1291C4×Q8—178no—
1292C4×Q8—178no—
1293C4×Q8C22×D1718yes—
1294C4×Q8C22×D1718yes—
1295C4×D4—178no—
1296C4×D4—178no—
1297C4×D4—178no—
1298C4×D4—178no—
1299C4×D4—178no—
1300C4×D4—178no—
1301C4×D4—178no—
1302C4×D4—178no—
1303C4×D4—178no—
1304C4×D4—178no—
1305C4×D4—178no—
1306C4×D4—178no—
1307#117—178no—
1308#117—178no—
1309#117—178no—
1310#117—178no—
1311#117—178no—
1312#117—178no—
1313#117—178no—
1314#117—178no—
1315#117—178no—
1316#117—178no—
1317#117—178no—
1318#117—178no—
1319#117—178no—
1320#117C22×D1718yes—
1321C2×C4⋊C4—171no—
1322C2×C4⋊C4—171no—
1323C2×C4⋊C4—171no—
1324C2×C4⋊C4—171no—
1325C2×C4⋊C4—171no—
1326C2×C4⋊C4—171no—
1327C2×C4⋊C4—171no—
1328C2×C4⋊C4—171no—
1329C2×C4⋊C4—171no—
1330C2×C4⋊C4—171no—
1331C2×C4⋊C4—171no—
1332C2×C4⋊C4—171no—
1333C2×C4⋊C4—178no—
1334C2×C4⋊C4—171no—
1335C2×C4⋊C4—171no—
1336C2×C4⋊C4—171no—
1337C2×C4⋊C4—171no—
1338C2×C4⋊C4—171no—
1339C2×C4⋊C4—171no—
1340C2×C4⋊C4—171no—
1341C2×C4⋊C4—171no—
1342C2×C4⋊C4—171no—
1343C2×C4⋊C4—171no—
1344C2×C4⋊C4—171no—
1345C2×C4⋊C4—171no—
1346C2×C4⋊C4—171no—
1347C2×C4⋊C4—171no—
1348C2×C4⋊C4—171no—
1349C2×C4⋊C4—171no—
1350C2×C4⋊C4—171no—
1351C2×C4⋊C4—171no—
1352C2×C4⋊C4—171no—
1353C2×C4⋊C4—171no—
1354C2×C4⋊C4—171no—
1355C2×C4⋊C4—171no—
1356C2×C4⋊C4—171no—
1357C2×C4⋊C4—171no—
1358C2×C4⋊C4—171no—
1359C2×C4⋊C4—171no—
1360C2×C4⋊C4—171no—
1361C2×C4⋊C4—171no—
1362C2×C4⋊C4—178no—
1363C2×C4⋊C4—178no—
1364C2×C4⋊C4—178no—
1365C2×C4⋊C4C22×D1711yescharacteristic
1366C2×C4⋊C4C22×D1711yescharacteristic
1367C2×C4⋊C4C22×D1711yescharacteristic
1368C2×C4⋊C4C22×D1711yescharacteristic
1369C2×C4⋊C4C22×D1711yescharacteristic
1370C2×C4⋊C4C22×D1711yescharacteristic
1371C2×C4⋊C4C22×D1711yescharacteristic
1372C2×C4⋊C4C22×D1711yescharacteristic
1373C2×C4⋊C4C22×D1711yescharacteristic
1374C2×C4⋊C4C22×D1711yescharacteristic
1375C2×C4⋊C4C22×D1711yescharacteristic
1376C2×C4⋊C4C22×D1711yescharacteristic
1377C2×C4⋊C4C22×D1711yescharacteristic
1378C2×C4⋊C4C22×D1711yescharacteristic
1379C2×C4⋊C4C22×D1711yescharacteristic
1380C2×C4⋊C4C22×D1711yescharacteristic
1381C2×C4⋊C4C22×D1711yescharacteristic
1382C2×C4⋊C4C22×D1711yescharacteristic
1383C2×C4⋊C4C22×D1711yescharacteristic
1384C2×C4⋊C4C22×D1711yescharacteristic
1385C2×C22⋊C4—171no—
1386C2×C22⋊C4—171no—
1387C2×C22⋊C4—171no—
1388C2×C22⋊C4—171no—
1389C2×C22⋊C4—171no—
1390C2×C22⋊C4—171no—
1391C2×C22⋊C4—171no—
1392C2×C22⋊C4—171no—
1393C2×C22⋊C4—171no—
1394C2×C22⋊C4—171no—
1395C2×C22⋊C4—171no—
1396C2×C22⋊C4—171no—
1397C2×C22⋊C4—171no—
1398C2×C22⋊C4—171no—
1399C2×C22⋊C4—171no—
1400C2×C22⋊C4—171no—
1401C2×C22⋊C4—171no—
1402C2×C22⋊C4—171no—
1403C2×C22⋊C4—171no—
1404C2×C22⋊C4—171no—
1405C2×C22⋊C4—171no—
1406C2×C22⋊C4—171no—
1407C2×C22⋊C4—171no—
1408C2×C22⋊C4—171no—
1409C2×C22⋊C4—171no—
1410C2×C22⋊C4—171no—
1411C2×C22⋊C4—171no—
1412C2×C22⋊C4—171no—
1413C2×C22⋊C4—171no—
1414C2×C22⋊C4—171no—
1415C2×C22⋊C4—171no—
1416C2×C22⋊C4—171no—
1417C2×C22⋊C4—171no—
1418C2×C22⋊C4—171no—
1419C2×C22⋊C4C22×D1711yescharacteristic
1420C2×C22⋊C4C22×D1711yescharacteristic
1421C2×C22⋊C4C22×D1711yescharacteristic
1422C2×C22⋊C4C22×D1711yescharacteristic
1423C2×C22⋊C4C22×D1711yescharacteristic
1424C2×C22⋊C4C22×D1711yescharacteristic
1425C2×C42—171no—
1426C2×C42—171no—
1427C2×C42—171no—
1428C2×C42—171no—
1429C2×C42—171no—
1430C2×C42—171no—
1431C2×C42—171no—
1432C2×C42—171no—
1433C2×C42—171no—
1434C2×C42—171no—
1435C2×C42—171no—
1436C2×C42—171no—
1437C2×C42—171no—
1438C2×C42—171no—
1439C2×C42—178no—
1440C2×C42C22×D1711yescharacteristic
1441C2×C42C22×D1711yescharacteristic
1442C2×C42C22×D1711yescharacteristic
1443C2×C42C22×D1711yescharacteristic
1444C2×C42C22×D1711yescharacteristic
1445C2×C42C22×D1711yescharacteristic
1446C17C2×#356511yescharacteristic, complemented, Sylow
1447C24—171no—
1448C24—171no—
1449C24—171no—
1450C24—171no—
1451C24C23×D1711yescharacteristic
1452C2×Q8—42no—
1453C2×Q8—42no—
1454C2×Q8—174no—
1455C2×Q8—174no—
1456C2×Q8—174no—
1457C2×Q8—174no—
1458C2×Q8—174no—
1459C2×Q8—174no—
1460C2×Q8—174no—
1461C2×Q8—174no—
1462C2×Q8—344no—
1463C2×Q8—682no—
1464C2×Q8—682no—
1465C2×Q8—682no—
1466C2×Q8—682no—
1467C2×Q8—682no—
1468C2×Q8—682no—
1469C2×Q8—682no—
1470C2×Q8C23×D1714yes—
1471C2×Q8C23×D1714yes—
1472C2×D4—174no—
1473C2×D4—174no—
1474C2×D4—174no—
1475C2×D4—174no—
1476C2×D4—174no—
1477C2×D4—174no—
1478C2×D4—174no—
1479C2×D4—174no—
1480C2×D4—174no—
1481C2×D4—174no—
1482C2×D4—344no—
1483C2×D4—682no—
1484C2×D4—682no—
1485C2×D4—682no—
1486C2×D4—682no—
1487C2×D4—682no—
1488C2×D4—682no—
1489C2×D4—682no—
1490C2×D4—682no—
1491C2×D4—682no—
1492C22×C4—42no—
1493C22×C4—171no—
1494C22×C4—171no—
1495C22×C4—171no—
1496C22×C4—171no—
1497C22×C4—171no—
1498C22×C4—171no—
1499C22×C4—171no—
1500C22×C4—171no—
1501C22×C4—171no—
1502C22×C4—171no—
1503C22×C4—171no—
1504C22×C4—171no—
1505C22×C4—174no—
1506C22×C4—174no—
1507C22×C4—174no—
1508C22×C4—174no—
1509C22×C4—174no—
1510C22×C4—174no—
1511C22×C4—174no—
1512C22×C4—174no—
1513C22×C4—174no—
1514C22×C4—174no—
1515C22×C4—174no—
1516C22×C4—174no—
1517C22×C4—174no—
1518C22×C4—174no—
1519C22×C4—344no—
1520C22×C4—344no—
1521C22×C4—344no—
1522C22×C4—682no—
1523C22×C4—682no—
1524C22×C4—682no—
1525C22×C4—682no—
1526C22×C4—682no—
1527C22×C4—682no—
1528C22×C4—682no—
1529C22×C4—682no—
1530C22×C4—682no—
1531C22×C4—682no—
1532C22×C4—682no—
1533C22×C4C23×D1711yescharacteristic
1534C22×C4C23×D1711yescharacteristic
1535C22×C4C23×D1711yescharacteristic
1536C22×C4C23×D1711yescharacteristic
1537C22×C4C23×D1711yescharacteristic
1538C22×C4C23×D1711yescharacteristic
1539C22×C4C23×D1711yescharacteristic
1540C22×C4C23×D1711yescharacteristic
1541C22×C4C23×D1711yescharacteristic
1542C22×C4C23×D1711yescharacteristic
1543C22×C4C23×D1711yescharacteristic
1544C22×C4C23×D1711yescharacteristic
1545C22×C4C23×D1711yescharacteristic
1546C22×C4C23×D1711yescharacteristic
1547C22×C4C23×D1714yes—
1548C4⋊C4—174no—
1549C4⋊C4—174no—
1550C4⋊C4—174no—
1551C4⋊C4—174no—
1552C4⋊C4—174no—
1553C4⋊C4—174no—
1554C4⋊C4—174no—
1555C4⋊C4—174no—
1556C4⋊C4—174no—
1557C4⋊C4—174no—
1558C4⋊C4—174no—
1559C4⋊C4—174no—
1560C4⋊C4—174no—
1561C4⋊C4—174no—
1562C4⋊C4—174no—
1563C4⋊C4—174no—
1564C4⋊C4—174no—
1565C4⋊C4—174no—
1566C4⋊C4—174no—
1567C4⋊C4—174no—
1568C4⋊C4—174no—
1569C4⋊C4—174no—
1570C4⋊C4—174no—
1571C4⋊C4—174no—
1572C4⋊C4—174no—
1573C4⋊C4—174no—
1574C4⋊C4—174no—
1575C4⋊C4—174no—
1576C4⋊C4—174no—
1577C4⋊C4—174no—
1578C4⋊C4—174no—
1579C4⋊C4—174no—
1580C4⋊C4—174no—
1581C4⋊C4—174no—
1582C4⋊C4—174no—
1583C4⋊C4—174no—
1584C4⋊C4—174no—
1585C4⋊C4—174no—
1586C4⋊C4—174no—
1587C4⋊C4—174no—
1588C4⋊C4C23×D1714yes—
1589C4⋊C4C23×D1714yes—
1590C4⋊C4C23×D1714yes—
1591C4⋊C4C23×D1714yes—
1592C4⋊C4C23×D1714yes—
1593C4⋊C4C23×D1714yes—
1594C4⋊C4C23×D1714yes—
1595C4⋊C4C23×D1714yes—
1596C4⋊C4C23×D1714yes—
1597C4⋊C4C23×D1714yes—
1598C4⋊C4C23×D1714yes—
1599C4⋊C4C23×D1714yes—
1600C4⋊C4C23×D1714yes—
1601C4⋊C4C23×D1714yes—
1602C4⋊C4C23×D1714yes—
1603C4⋊C4C23×D1714yes—
1604C4⋊C4C23×D1714yes—
1605C4⋊C4C23×D1714yes—
1606C4⋊C4C23×D1714yes—
1607C4⋊C4C23×D1714yes—
1608C22⋊C4—174no—
1609C22⋊C4—174no—
1610C22⋊C4—174no—
1611C22⋊C4—174no—
1612C22⋊C4—174no—
1613C22⋊C4—174no—
1614C22⋊C4—174no—
1615C22⋊C4—174no—
1616C22⋊C4—174no—
1617C22⋊C4—174no—
1618C22⋊C4—174no—
1619C22⋊C4—174no—
1620C22⋊C4—174no—
1621C22⋊C4—174no—
1622C22⋊C4—174no—
1623C22⋊C4—174no—
1624C22⋊C4—174no—
1625C22⋊C4—174no—
1626C22⋊C4—174no—
1627C22⋊C4—174no—
1628C22⋊C4—174no—
1629C22⋊C4—174no—
1630C22⋊C4—174no—
1631C22⋊C4—174no—
1632C22⋊C4—174no—
1633C22⋊C4—174no—
1634C22⋊C4—174no—
1635C22⋊C4—174no—
1636C22⋊C4—174no—
1637C22⋊C4—174no—
1638C22⋊C4—174no—
1639C22⋊C4—174no—
1640C22⋊C4—174no—
1641C22⋊C4—174no—
1642C22⋊C4C23×D1714yes—
1643C22⋊C4C23×D1714yes—
1644C22⋊C4C23×D1714yes—
1645C22⋊C4C23×D1714yes—
1646C22⋊C4C23×D1714yes—
1647C22⋊C4C23×D1714yes—
1648C42—174no—
1649C42—174no—
1650C42—174no—
1651C42—174no—
1652C42—174no—
1653C42—174no—
1654C42—174no—
1655C42—174no—
1656C42—174no—
1657C42—174no—
1658C42—174no—
1659C42—174no—
1660C42—174no—
1661C42—174no—
1662C42C23×D1714yes—
1663C42C23×D1714yes—
1664C42C23×D1714yes—
1665C42C23×D1714yes—
1666C42C23×D1714yes—
1667C42C23×D1714yes—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—172no—
1672C23—172no—
1673C23—172no—
1674C23—172no—
1675C23—342no—
1676C23—342no—
1677C23—342no—
1678C23—342no—
1679C23—342no—
1680C23—342no—
1681C23—342no—
1682C23—342no—
1683C23—342no—
1684C23—342no—
1685C23—342no—
1686C23—342no—
1687C23C24×D1712yes—
1688C23C24×D1711yescharacteristic
1689Q8—44no—
1690Q8—44no—
1691Q8—348no—
1692Q8—684no—
1693Q8—684no—
1694Q8—684no—
1695Q8—684no—
1696Q8—684no—
1697Q8—684no—
1698Q8—684no—
1699D4—348no—
1700D4—684no—
1701D4—684no—
1702D4—684no—
1703D4—684no—
1704D4—684no—
1705D4—684no—
1706D4—684no—
1707D4—684no—
1708D4—684no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—44no—
1724C2×C4—174no—
1725C2×C4—172no—
1726C2×C4—172no—
1727C2×C4—172no—
1728C2×C4—172no—
1729C2×C4—172no—
1730C2×C4—172no—
1731C2×C4—172no—
1732C2×C4—172no—
1733C2×C4—172no—
1734C2×C4—172no—
1735C2×C4—172no—
1736C2×C4—172no—
1737C2×C4—348no—
1738C2×C4—348no—
1739C2×C4—348no—
1740C2×C4—342no—
1741C2×C4—342no—
1742C2×C4—342no—
1743C2×C4—342no—
1744C2×C4—342no—
1745C2×C4—342no—
1746C2×C4—342no—
1747C2×C4—342no—
1748C2×C4—342no—
1749C2×C4—342no—
1750C2×C4—342no—
1751C2×C4—684no—
1752C2×C4—684no—
1753C2×C4—684no—
1754C2×C4—684no—
1755C2×C4—684no—
1756C2×C4—684no—
1757C2×C4—684no—
1758C2×C4—684no—
1759C2×C4—684no—
1760C2×C4—684no—
1761C2×C4—684no—
1762C2×C4C24×D1712yes—
1763C2×C4C24×D1712yes—
1764C2×C4C24×D1712yes—
1765C2×C4C24×D1712yes—
1766C2×C4C24×D1712yes—
1767C2×C4C24×D1712yes—
1768C2×C4C24×D1712yes—
1769C2×C4C24×D1712yes—
1770C2×C4C24×D1712yes—
1771C2×C4C24×D1712yes—
1772C2×C4C24×D1712yes—
1773C2×C4C24×D1712yes—
1774C2×C4C24×D1712yes—
1775C2×C4C24×D1712yes—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—44no—
1780C22—342no—
1781C22—342no—
1782C22—342no—
1783C22—342no—
1784C22—342no—
1785C22—342no—
1786C22—342no—
1787C22—342no—
1788C22—342no—
1789C22—342no—
1790C22—342no—
1791C22—342no—
1792C22—684no—
1793C22—684no—
1794C22—684no—
1795C22—684no—
1796C222−1+4×D1712yes—
1797C22#1176364512yes—
1798C22#1176364612yes—
1799C22C25×D1711yescharacteristic
1800C4—22no—
1801C4—22no—
1802C4—22no—
1803C4—22no—
1804C4—22no—
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—22no—
1813C4—22no—
1814C4—174no—
1815C4—342no—
1816C4—342no—
1817C4—342no—
1818C4—342no—
1819C4—342no—
1820C4—342no—
1821C4—342no—
1822C4—342no—
1823C4—342no—
1824C4—342no—
1825C4—342no—
1826C2—42no—
1827C2—682no—
1828C2—682no—
1829C2—682no—
1830C2—682no—
1831C2#1454342414yesdirect product factor
1832C2C2×2−1+4×D1711yescharacteristic
1833C2C2×#1176364511yescharacteristic
1834C2C2×#1176364611yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#541C2
socleC23×C17C25
hypercenterC2×#541D17
hypocenterC17C2×#3565
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#541

Complements

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

NH ≅ G/Ntype
1. #14543424C2direct (N × H)
2. C2×#11763563C2semidirect
3. C2×#11763561C2semidirect
4. C2×#11763557C2semidirect
5. C2×#11763555C2semidirect
6. C2×#11763536C2semidirect
7. C2×#11763532C2semidirect
8. C2×#11763531C2semidirect
9. C2×#11763526C2semidirect
10. C2×#11763522C2semidirect
11. C2×#11763513C2semidirect
12. C2×#11763510C2semidirect
13. C2×#11763510C2semidirect
14. C2×#11763497C2semidirect
15. C2×#11763492C2semidirect
16. C2×#11763491C2semidirect
17. C2×#11763491C2semidirect
18. C2×#11763439C2semidirect
19. C2×#11763436C2semidirect
20. C2×#11763433C2semidirect
21. C2×#11763431C2semidirect
22. C2×#11763429C2semidirect
23. C2×#11763425C2semidirect
24. C2×#11763425C2semidirect
25. C2×#11763425C2semidirect
26. C2×#11763418C2semidirect
27. C2×#11763408C2semidirect
28. C2×#11763407C2semidirect
29. C2×#11763363C2semidirect
30. C2×#11763344C2semidirect
31. C2×#11763342C2semidirect
32. C2×C17×#541C2semidirect
33. #11763563C22semidirect
34. #11763561C22semidirect
35. #11763557C22semidirect
36. #11763555C22semidirect
37. #11763536C22semidirect
38. #11763532C22semidirect
39. #11763531C22semidirect
40. #11763526C22semidirect
41. #11763522C22semidirect
42. #11763513C22semidirect
43. #11763510C22semidirect
44. #11763510C22semidirect
45. #11763497C22semidirect
46. #11763492C22semidirect
47. #11763491C22semidirect
48. #11763491C22semidirect
49. #11763439C22semidirect
50. #11763436C22semidirect
51. #11763433C22semidirect
52. #11763431C22semidirect
53. #11763429C22semidirect
54. #11763425C22semidirect
55. #11763425C22semidirect
56. #11763425C22semidirect
57. #11763418C22semidirect
58. #11763408C22semidirect
59. #11763407C22semidirect
60. #11763363C22semidirect
70. #11763344C22semidirect
71. #11763342C22semidirect
203. C17×#541C22semidirect
885. C2×#541D17semidirect
966. #541C2×D17semidirect
1128. C2×C17#3565semidirect
1446. C17C2×#3565semidirect
1831. C2#14543424direct (N × H)

Maximal subgroups

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

subgroupindex
#145434242
C2×#117635632
C2×#117635612
C2×#117635572
C2×#117635552
C2×#117635362
C2×#117635322
C2×#117635312
C2×#117635262
C2×#117635222
C2×#117635132
C2×#117635102
C2×#117634972
C2×#117634922
C2×#117634912
C2×#117634392
C2×#117634362
C2×#117634332
C2×#117634312
C2×#117634292
C2×#117634252
C2×#117634182
C2×#117634082
C2×#117634072
C2×#117633632
C2×#117633442
C2×#117633422
C2×C17×#5412
C2×#356517