Finite Group Databasebeta

← C2×#14543382 #17941699

Subgroups — C2×#14543382 #17941699

Order 4352.

6458 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543382C2132yesmaximal, direct product factor
2C2×C17⋊#564C211yesmaximal, characteristic, complemented
3C2×C17⋊#564C211yesmaximal, characteristic, complemented
4C2×#11763561C211yesmaximal, characteristic, complemented
5C2×#11763560C211yesmaximal, characteristic, complemented
6C2×#11763537C211yesmaximal, characteristic, complemented
7C2×#11763536C211yesmaximal, characteristic, complemented
8C2×#11763515C211yesmaximal, characteristic, complemented
9C2×#11763513C211yesmaximal, characteristic, complemented
10C2×#11763500C211yesmaximal, characteristic, complemented
11C2×#11763498C211yesmaximal, characteristic, complemented
12C2×#11763495C211yesmaximal, characteristic, complemented
13C2×#11763495C211yesmaximal, characteristic, complemented
14C2×#11763495C211yesmaximal, characteristic, complemented
15C2×#11763492C211yesmaximal, characteristic, complemented
16C2×#11763491C211yesmaximal, characteristic, complemented
17C2×#11763491C211yesmaximal, characteristic, complemented
18C2×#11763439C211yesmaximal, characteristic, complemented
19C2×#11763438C211yesmaximal, characteristic, complemented
20C2×#11763436C211yesmaximal, characteristic, complemented
21C2×#11763436C211yesmaximal, characteristic, complemented
22C2×#11763418C211yesmaximal, characteristic, complemented
23C2×#11763418C211yesmaximal, characteristic, complemented
24C2×#11763417C211yesmaximal, characteristic, complemented
25C2×#11763416C211yesmaximal, characteristic, complemented
26C2×#11763416C211yesmaximal, characteristic, complemented
27C2×#11763405C211yesmaximal, characteristic
28C2×#11763400C211yesmaximal, characteristic
29C2×#11763363C211yesmaximal, characteristic, complemented
30C2×#11763342C211yesmaximal, characteristic
31C2×#125×D17C211yesmaximal, characteristic, complemented
32C2×C17×#541C211yesmaximal, characteristic, complemented
33C17⋊#564C22116yescomplemented
34C17⋊#564C22116yescomplemented
35#11763561C22116yescomplemented
36#11763560C22116yescomplemented
37#11763537C22116yescomplemented
38#11763536C22116yescomplemented
39#11763515C22116yescomplemented
40#11763513C22116yescomplemented
41#11763500C22116yescomplemented
42#11763498C22116yescomplemented
43#11763495C22116yescomplemented
44#11763495C22116yescomplemented
45#11763495C22116yescomplemented
46#11763492C22116yescomplemented
47#11763491C22116yescomplemented
48#11763491C22116yescomplemented
49#11763439C22116yescomplemented
50#11763438C22116yescomplemented
51#11763436C22116yescomplemented
52#11763436C22116yescomplemented
53#11763418C22116yescomplemented
54#11763418C22116yescomplemented
55#11763417C22116yescomplemented
56#11763416C22116yescomplemented
57#11763416C22116yescomplemented
58#11763405C22116yes—
59#11763400C22116yes—
60#11763363C22116yescomplemented
61C2×#10587555C2211yescharacteristic
62C2×#10587574C2211yescharacteristic
63C2×#10587574C2211yescharacteristic
64C2×#10587574C2211yescharacteristic
65C2×#10587574C2211yescharacteristic
66C2×#10587574C2211yescharacteristic
67C2×#10587574C2211yescharacteristic
68C2×#10587630C2211yescharacteristic
69C2×#10587630C2211yescharacteristic
70C2×#10587630C2211yescharacteristic
71C2×#10587630C2211yescharacteristic
72#11763342C22116yes—
73C2×#10587584C2211yescharacteristic
74C2×#10587584C2211yescharacteristic
75C2×#10587584C2211yescharacteristic
76C2×#10587584C2211yescharacteristic
77C2×#10587584C2211yescharacteristic
78C2×#10587584C2211yescharacteristic
79C2×#10587562C2211yescharacteristic
80C2×#10587562C2211yescharacteristic
81C2×#10587562C2211yescharacteristic
82C2×#10587565C2211yescharacteristic
83C2×#10587565C2211yescharacteristic
84C2×#10587565C2211yescharacteristic
85C2×#10587565C2211yescharacteristic
86C2×#10587565C2211yescharacteristic
87C2×#10587556C2211yescharacteristic
88C2×#10587556C2211yescharacteristic
89C2×#10587556C2211yescharacteristic
90C2×#10587556C2211yescharacteristic
91C2×#10587556C2211yescharacteristic
92C2×#10587556C2211yescharacteristic
93C2×#10587576C2211yescharacteristic
94C2×#10587576C2211yescharacteristic
95C2×#10587576C2211yescharacteristic
96C2×#10587576C2211yescharacteristic
97C2×#10587576C2211yescharacteristic
98C2×#10587576C2211yescharacteristic
99C2×#10587576C2211yescharacteristic
100C2×#10587576C2211yescharacteristic
101C2×#10587576C2211yescharacteristic
102C2×#10587575C2211yescharacteristic
103C2×#10587575C2211yescharacteristic
104C2×#10587575C2211yescharacteristic
105C2×#10587575C2211yescharacteristic
106C2×#10587575C2211yescharacteristic
107C2×#10587575C2211yescharacteristic
108C2×#10587575C2211yescharacteristic
109C2×#10587575C2211yescharacteristic
110C2×#10587575C2211yescharacteristic
111C2×#10587575C2211yescharacteristic
112C2×#10587575C2211yescharacteristic
113C2×#10587575C2211yescharacteristic
114C2×#10587575C2211yescharacteristic
115C2×#10587575C2211yescharacteristic
116C2×#10587575C2211yescharacteristic
117C2×#10587575C2211yescharacteristic
118C2×#10587575C2211yescharacteristic
119C2×#10587575C2211yescharacteristic
120C2×#10587575C2211yescharacteristic
121C2×#10587575C2211yescharacteristic
122C2×#10587575C2211yescharacteristic
123C2×#10587575C2211yescharacteristic
124C2×#10587575C2211yescharacteristic
125C2×#10587575C2211yescharacteristic
126C2×#10587575C2211yescharacteristic
127#125×D17C22116yescomplemented
128C2×#10587571C2211yescharacteristic
129C2×#10587580C2211yescharacteristic
130C2×#10587580C2211yescharacteristic
131C2×#10587580C2211yescharacteristic
132C2×#10587572C2211yescharacteristic
133C2×#10587615C2211yescharacteristic
134C2×#10587569C2211yescharacteristic
135C2×#10587569C2211yescharacteristic
136C2×#10587569C2211yescharacteristic
137C2×#10587569C2211yescharacteristic
138C2×#10587569C2211yescharacteristic
139C2×#10587583C2211yescharacteristic
140C2×#10587583C2211yescharacteristic
141C2×#10587583C2211yescharacteristic
142C2×#10587610C2211yescharacteristic
143C2×#10587582C2211yescharacteristic
144C2×#10587582C2211yescharacteristic
145C2×#10587582C2211yescharacteristic
146C2×#10587582C2211yescharacteristic
147C2×#10587582C2211yescharacteristic
148C2×#10587582C2211yescharacteristic
149C2×#10587582C2211yescharacteristic
150C2×#10587582C2211yescharacteristic
151C2×#10587582C2211yescharacteristic
152C2×#10587582C2211yescharacteristic
153C2×#10587564C2211yescharacteristic
154C2×#10587564C2211yescharacteristic
155C2×#10587564C2211yescharacteristic
156C2×#10587564C2211yescharacteristic
157C2×#10587564C2211yescharacteristic
158C2×#10587632C2211yescharacteristic
159C2×#10587632C2211yescharacteristic
160C2×#10587632C2211yescharacteristic
161C2×#10587632C2211yescharacteristic
162C2×#10587570C2211yescharacteristic
163C2×C4×Dic34C2211yescharacteristic
164C2×C4×Dic34C2211yescharacteristic
165C2×C4×Dic34C2211yescharacteristic
166C2×C4×Dic34C2211yescharacteristic
167C2×C4×Dic34C2211yescharacteristic
168C2×C4×Dic34C2211yescharacteristic
169C2×#10587573C2211yescharacteristic
170C2×#10587573C2211yescharacteristic
171C2×#10587573C2211yescharacteristic
172C2×#10587573C2211yescharacteristic
173C2×#10587573C2211yescharacteristic
174C2×C4×D68C2211yescharacteristic
175C2×#10587579C2211yescharacteristic
176C2×#10587579C2211yescharacteristic
177C2×C4×C22⋊D17C2211yescharacteristic
178C2×#10587567C2211yescharacteristic
179C2×#10587567C2211yescharacteristic
180C2×#10587567C2211yescharacteristic
181C2×#10587578C2211yescharacteristic
182C2×#10587578C2211yescharacteristic
183C2×#10587578C2211yescharacteristic
184C2×#10587578C2211yescharacteristic
185C2×#10587558C2211yescharacteristic
186C2×#10587558C2211yescharacteristic
187C2×#10587558C2211yescharacteristic
188C2×#10587558C2211yescharacteristic
189C2×#10587558C2211yescharacteristic
190C2×#10587558C2211yescharacteristic
191C2×#10587563C2211yescharacteristic
192C2×#10587563C2211yescharacteristic
193C2×#10587563C2211yescharacteristic
194C22×#63225C2211yescharacteristic
195C2×C4⋊C4×D17C2211yescharacteristic
196C2×C4⋊C4×D17C2211yescharacteristic
197C2×C4⋊C4×D17C2211yescharacteristic
198C2×C4⋊C4×D17C2211yescharacteristic
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
224C23×Dic17C2311yescharacteristic
225C23×Dic17C2311yescharacteristic
226C22×D68C2311yescharacteristic
227C22×C4×D17C2311yescharacteristic
228C22×C4×D17C2311yescharacteristic
229C22×C4×D17C2311yescharacteristic
230C22×C4×D17C2311yescharacteristic
231C22×C4×D17C2311yescharacteristic
232C22×C4×D17C2311yescharacteristic
233C22×C4×D17C2311yescharacteristic
234C22×C4×D17C2311yescharacteristic
235C22×C4×D17C2311yescharacteristic
236C22×C4×D17C2311yescharacteristic
237C22×Dic34C2311yescharacteristic
238C22×Dic34C2311yescharacteristic
239C22×Dic34C2311yescharacteristic
240C22×Dic34C2311yescharacteristic
241C22×Dic34C2311yescharacteristic
242C22×Dic34C2311yescharacteristic
243C22×Dic34C2311yescharacteristic
244C17×C4⋊Q8C2318yes—
245C17×#126C2318yes—
246C17×#126C2318yes—
247C17×#126C2318yes—
248C17×#126C2318yes—
249C17×#125C2318yes—
250C17×#125C2318yes—
251C17×#125C2318yes—
252C17×#125C2318yes—
253C17×#125C2318yes—
254C17×C22⋊Q8C2318yes—
255C17×C22⋊Q8C2318yes—
256C4×Q8×C17C2318yes—
257C4×Q8×C17C2318yes—
258C17×#117C2318yes—
259C2×C4⋊C4×C17C2311yescharacteristic
260C2×C4⋊C4×C17C2311yescharacteristic
261C2×C4⋊C4×C17C2311yescharacteristic
262C2×C4⋊C4×C17C2311yescharacteristic
263C2×C4⋊C4×C17C2311yescharacteristic
264C2×C4⋊C4×C17C2311yescharacteristic
265C2×C4⋊C4×C17C2311yescharacteristic
266C2×C4⋊C4×C17C2311yescharacteristic
267C2×C4⋊C4×C17C2311yescharacteristic
268C2×C4⋊C4×C17C2311yescharacteristic
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×C22⋊C4×C17C2311yescharacteristic
280C2×C22⋊C4×C17C2311yescharacteristic
281C2×C22⋊C4×C17C2311yescharacteristic
282C2×C22⋊C4×C17C2311yescharacteristic
283C2×C22⋊C4×C17C2311yescharacteristic
284C2×C22⋊C4×C17C2311yescharacteristic
285C2×C42×C17C2311yescharacteristic
286C2×C42×C17C2311yescharacteristic
287C2×C42×C17C2311yescharacteristic
288C2×C42×C17C2311yescharacteristic
289C2×C42×C17C2311yescharacteristic
290C2×C42×C17C2311yescharacteristic
291C2×C22⋊Dic17C2311yescharacteristic
292C2×C22⋊Dic17C2311yescharacteristic
293C2×C22⋊Dic17C2311yescharacteristic
294C2×C22⋊Dic17C2311yescharacteristic
295#10587632C2318yes—
296#10587632C2318yes—
297#10587632C2318yes—
298#10587632C2318yes—
299#10587630C2318yes—
300#10587630C2318yes—
301#10587630C2318yes—
302#10587630C2318yes—
303#10587615C2318yes—
304C4×C22⋊D17C2318yes—
305C2×#63227C2311yescharacteristic
306C2×#63227C2311yescharacteristic
307C2×#63227C2311yescharacteristic
308C2×#63227C2311yescharacteristic
309C2×#63227C2311yescharacteristic
310C2×#63227C2311yescharacteristic
311C2×#63227C2311yescharacteristic
312C2×#63227C2311yescharacteristic
313C2×#63227C2311yescharacteristic
314C2×#63227C2311yescharacteristic
315C2×#63227C2311yescharacteristic
316C2×#63227C2311yescharacteristic
317C2×#63227C2311yescharacteristic
318C2×#63227C2311yescharacteristic
319C2×#63227C2311yescharacteristic
320C2×#63227C2311yescharacteristic
321C2×C4⋊Dic17C2311yescharacteristic
322C2×C4⋊Dic17C2311yescharacteristic
323C2×C4⋊Dic17C2311yescharacteristic
324C2×C4⋊Dic17C2311yescharacteristic
325C2×C4⋊Dic17C2311yescharacteristic
326C2×C4⋊Dic17C2311yescharacteristic
327C2×C4⋊Dic17C2311yescharacteristic
328C2×C4⋊Dic17C2311yescharacteristic
329C2×C4⋊Dic17C2311yescharacteristic
330C2×C4⋊Dic17C2311yescharacteristic
331C2×C4⋊Dic17C2311yescharacteristic
332C2×C4⋊Dic17C2311yescharacteristic
333C2×C4⋊Dic17C2311yescharacteristic
334C2×C4⋊Dic17C2311yescharacteristic
335C2×C4⋊Dic17C2311yescharacteristic
336C2×C4⋊Dic17C2311yescharacteristic
337C2×C4⋊Dic17C2311yescharacteristic
338C2×C4⋊Dic17C2311yescharacteristic
339#10587610C2318yes—
340C2×#63225C2318yes—
341C2×#63225C2311yescharacteristic
342C2×#63225C2311yescharacteristic
343C2×#63225C2311yescharacteristic
344C2×#63225C2311yescharacteristic
345C2×#63225C2311yescharacteristic
346C2×#63225C2311yescharacteristic
347C2×#63225C2311yescharacteristic
348C2×#63225C2311yescharacteristic
349C2×#63225C2311yescharacteristic
350C2×#63225C2311yescharacteristic
351C2×#63225C2311yescharacteristic
352C2×#63225C2311yescharacteristic
353C2×#63225C2311yescharacteristic
354C2×#63225C2311yescharacteristic
355C2×#63225C2311yescharacteristic
356C2×#63225C2311yescharacteristic
357C2×#63225C2311yescharacteristic
358C2×#63225C2311yescharacteristic
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×C4×Dic17C2311yescharacteristic
386C2×C4×Dic17C2311yescharacteristic
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#10587583C2318yes—
408#10587583C2318yes—
409#10587583C2318yes—
410#10587582C2318yes—
411#10587582C2318yes—
412#10587582C2318yes—
413#10587582C2318yes—
414#10587582C2318yes—
415#10587582C2318yes—
416#10587582C2318yes—
417#10587582C2318yes—
418#10587582C2318yes—
419#10587582C2318yes—
420#10587580C2318yes—
421#10587580C2318yes—
422#10587580C2318yes—
423#10587579C2318yes—
424#10587579C2318yes—
425#10587578C2318yes—
426#10587578C2318yes—
427#10587578C2318yes—
428#10587578C2318yes—
429C4⋊C4×D17C2318yes—
430C4⋊C4×D17C2318yes—
431C4⋊C4×D17C2318yes—
432C4⋊C4×D17C2318yes—
433C4⋊C4×D17C2318yes—
434C4⋊C4×D17C2318yes—
435C4⋊C4×D17C2318yes—
436#10587576C2318yes—
437#10587576C2318yes—
438#10587576C2318yes—
439#10587576C2318yes—
440#10587576C2318yes—
441#10587576C2318yes—
442#10587576C2318yes—
443#10587576C2318yes—
444#10587576C2318yes—
445#10587575C2318yes—
446#10587575C2318yes—
447#10587575C2318yes—
448#10587575C2318yes—
449#10587575C2318yes—
450#10587575C2318yes—
451#10587575C2318yes—
452#10587575C2318yes—
453#10587575C2318yes—
454#10587575C2318yes—
455#10587575C2318yes—
456#10587575C2318yes—
457#10587575C2318yes—
458#10587575C2318yes—
459#10587575C2318yes—
460#10587575C2318yes—
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#10587571C2318yes—
483#10587570C2318yes—
484#10587569C2318yes—
485#10587569C2318yes—
486#10587569C2318yes—
487#10587569C2318yes—
488#10587569C2318yes—
489#10587567C2318yes—
490#10587567C2318yes—
491#10587567C2318yes—
492#10587565C2318yes—
493#10587565C2318yes—
494#10587565C2318yes—
495#10587565C2318yes—
496#10587565C2318yes—
497#10587564C2318yes—
498#10587564C2318yes—
499#10587564C2318yes—
500#10587564C2318yes—
501#10587564C2318yes—
502#10587563C2318yes—
503#10587563C2318yes—
504#10587563C2318yes—
505#10587562C2318yes—
506#10587562C2318yes—
507#10587562C2318yes—
508C4×D68C2318yes—
509#10587558C2318yes—
510#10587558C2318yes—
511#10587558C2318yes—
512#10587558C2318yes—
513#10587558C2318yes—
514#10587558C2318yes—
515C42×D17C2318yes—
516#10587556C2318yes—
517#10587556C2318yes—
518#10587556C2318yes—
519#10587556C2318yes—
520#10587556C2318yes—
521#10587556C2318yes—
522#10587555C2318yes—
523C4×Dic34C2318yes—
524C4×Dic34C2318yes—
525C4×Dic34C2318yes—
526C4×Dic34C2318yes—
527C4×Dic34C2318yes—
528C4×Dic34C2318yes—
529C24×C17C2411yescharacteristic
530C23×D17C2411yescharacteristic
531C23×D17C2411yescharacteristic
532C2×Q8×C17—42no—
533C2×Q8×C17—42no—
534C2×Q8×C17C2414yes—
535C2×Q8×C17C2414yes—
536C22×C4×C17—42no—
537C22×C4×C17C2411yescharacteristic
538C22×C4×C17C2411yescharacteristic
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×C17C2414yes—
552C2×C22⋊D17—24no—
553C2×C22⋊D17—42no—
554C2×C22⋊D17C2414yes—
555C2×C22⋊D17C2414yes—
556C22×Dic17—24no—
557C22×Dic17—42no—
558C22×Dic17C2411yescharacteristic
559C22×Dic17C2411yescharacteristic
560C22×Dic17C2411yescharacteristic
561C22×Dic17C2411yescharacteristic
562C22×Dic17C2411yescharacteristic
563C22×Dic17C2411yescharacteristic
564C22×Dic17C2411yescharacteristic
565C22×Dic17C2411yescharacteristic
566C22×Dic17C2411yescharacteristic
567C22×Dic17C2411yescharacteristic
568C22×Dic17C2411yescharacteristic
569C22×Dic17C2414yes—
570C22×Dic17C2411yescharacteristic
571C22×Dic17C2411yescharacteristic
572C22×Dic17C2414yes—
573C22×Dic17C2411yescharacteristic
574C2×D68—24no—
575C2×D68C2414yes—
576C2×C4×D17—24no—
577C2×C4×D17—24no—
578C2×C4×D17—24no—
579C2×C4×D17—24no—
580C2×C4×D17—24no—
581C2×C4×D17—42no—
582C2×C4×D17—42no—
583C2×C4×D17—42no—
584C2×C4×D17—42no—
585C2×C4×D17—42no—
586C2×C4×D17C2414yes—
587C2×C4×D17C2414yes—
588C2×C4×D17C2414yes—
589C2×C4×D17C2414yes—
590C2×C4×D17C2414yes—
591C2×C4×D17C2414yes—
592C2×C4×D17C2414yes—
593C2×C4×D17C2414yes—
594C2×C4×D17C2414yes—
595C2×C4×D17C2414yes—
596C2×Dic34—24no—
597C2×Dic34—24no—
598C2×Dic34—42no—
599C2×Dic34—42no—
600C2×Dic34—42no—
601C2×Dic34—42no—
602C2×Dic34—42no—
603C2×Dic34C2414yes—
604C2×Dic34C2414yes—
605C2×Dic34C2414yes—
606C2×Dic34C2414yes—
607C2×Dic34C2414yes—
608C2×Dic34C2414yes—
609C2×Dic34C2414yes—
610C4⋊C4×C17C2414yes—
611C4⋊C4×C17C2414yes—
612C4⋊C4×C17C2414yes—
613C4⋊C4×C17C2414yes—
614C4⋊C4×C17C2414yes—
615C4⋊C4×C17C2414yes—
616C4⋊C4×C17C2414yes—
617C4⋊C4×C17C2414yes—
618C4⋊C4×C17C2414yes—
619C4⋊C4×C17C2414yes—
620C4⋊C4×C17C2414yes—
621C4⋊C4×C17C2414yes—
622C4⋊C4×C17C2414yes—
623C4⋊C4×C17C2414yes—
624C4⋊C4×C17C2414yes—
625C4⋊C4×C17C2414yes—
626C4⋊C4×C17C2414yes—
627C4⋊C4×C17C2414yes—
628C4⋊C4×C17C2414yes—
629C4⋊C4×C17C2414yes—
630C22⋊C4×C17C2414yes—
631C22⋊C4×C17C2414yes—
632C22⋊C4×C17C2414yes—
633C22⋊C4×C17C2414yes—
634C22⋊C4×C17C2414yes—
635C22⋊C4×C17C2414yes—
636C42×C17C2414yes—
637C42×C17C2414yes—
638C42×C17C2414yes—
639C42×C17C2414yes—
640C42×C17C2414yes—
641C42×C17C2414yes—
642C22⋊Dic17C2414yes—
643C22⋊Dic17C2414yes—
644C22⋊Dic17C2414yes—
645C22⋊Dic17C2414yes—
646#63227C2414yes—
647#63227C2414yes—
648#63227C2414yes—
649#63227C2414yes—
650#63227C2414yes—
651#63227C2414yes—
652#63227C2414yes—
653#63227C2414yes—
654#63227C2414yes—
655#63227C2414yes—
656#63227C2414yes—
657#63227C2414yes—
658#63227C2414yes—
659#63227C2414yes—
660#63227C2414yes—
661#63227C2414yes—
662C4⋊Dic17C2414yes—
663C4⋊Dic17C2414yes—
664C4⋊Dic17C2414yes—
665C4⋊Dic17C2414yes—
666C4⋊Dic17C2414yes—
667C4⋊Dic17C2414yes—
668C4⋊Dic17C2414yes—
669C4⋊Dic17C2414yes—
670C4⋊Dic17C2414yes—
671C4⋊Dic17C2414yes—
672C4⋊Dic17C2414yes—
673C4⋊Dic17C2414yes—
674C4⋊Dic17C2414yes—
675C4⋊Dic17C2414yes—
676C4⋊Dic17C2414yes—
677C4⋊Dic17C2414yes—
678C4⋊Dic17C2414yes—
679C4⋊Dic17C2414yes—
680#63225C2414yes—
681#63225C2414yes—
682#63225C2414yes—
683#63225C2414yes—
684#63225C2414yes—
685#63225C2414yes—
686#63225C2414yes—
687#63225C2414yes—
688#63225C2414yes—
689#63225C2414yes—
690#63225C2414yes—
691#63225C2414yes—
692#63225C2414yes—
693#63225C2414yes—
694#63225C2414yes—
695#63225C2414yes—
696#63225C2414yes—
697#63225C2414yes—
698#63225C2414yes—
699#63225C2414yes—
700#63225C2414yes—
701#63225C2414yes—
702#63225C2414yes—
703#63225C2414yes—
704#63225C2414yes—
705#63225C2414yes—
706#63225C2414yes—
707#63225C2414yes—
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—
724C4×Dic17C2414yes—
725C4×Dic17C2414yes—
726C4×Dic17C2414yes—
727C4×Dic17C2414yes—
728C4×Dic17C2414yes—
729C4×Dic17C2414yes—
730C4×Dic17C2414yes—
731C4×Dic17C2414yes—
732C4×Dic17C2414yes—
733C4×Dic17C2414yes—
734C4×Dic17C2414yes—
735C4×Dic17C2414yes—
736C4×Dic17C2414yes—
737C4×Dic17C2414yes—
738C4×Dic17C2414yes—
739C4×Dic17C2414yes—
740C2×#3563—171nomaximal, Sylow
741C23×C17—22no—
742C23×C17—22no—
743C23×C17—22no—
744C23×C17C2512yes—
745C23×C17C2511yescharacteristic
746C22×D17—22no—
747C22×D17—22no—
748C22×D17—22no—
749C22×D17—22no—
750C22×D17—22no—
751C22×D172−1+414yes—
752C22×D17C2512yes—
753C22×D17C2512yes—
754Q8×C17—44no—
755Q8×C17—44no—
756C2×C4×C17—22no—
757C2×C4×C17—22no—
758C2×C4×C17—22no—
759C2×C4×C17—22no—
760C2×C4×C17—22no—
761C2×C4×C17—22no—
762C2×C4×C17—22no—
763C2×C4×C17—22no—
764C2×C4×C17—22no—
765C2×C4×C17—22no—
766C2×C4×C17—22no—
767C2×C4×C17—22no—
768C2×C4×C17—22no—
769C2×C4×C17—22no—
770C2×C4×C17—44no—
771C2×C4×C17C2512yes—
772C2×C4×C17C2512yes—
773C2×C4×C17C2512yes—
774C2×C4×C17C2512yes—
775C2×C4×C17C2512yes—
776C2×C4×C17C2512yes—
777C2×C4×C17C2512yes—
778C2×C4×C17C2512yes—
779C2×C4×C17C2512yes—
780C2×C4×C17C2512yes—
781C2×C4×C17C2512yes—
782C2×C4×C17C2512yes—
783C2×C4×C17C2512yes—
784C2×C4×C17C2512yes—
785C22⋊D17—28no—
786C22⋊D17—44no—
787C2×Dic17—22no—
788C2×Dic17—22no—
789C2×Dic17—22no—
790C2×Dic17—22no—
791C2×Dic17—22no—
792C2×Dic17—22no—
793C2×Dic17—22no—
794C2×Dic17—22no—
795C2×Dic17—22no—
796C2×Dic17—22no—
797C2×Dic17—22no—
798C2×Dic17—22no—
799C2×Dic17—22no—
800C2×Dic17—28no—
801C2×Dic17—44no—
802C2×Dic172−1+414yes—
803C2×Dic17C2512yes—
804C2×Dic17C2512yes—
805C2×Dic17C2512yes—
806C2×Dic17C2512yes—
807C2×Dic17C2512yes—
808C2×Dic17C2512yes—
809C2×Dic17C2512yes—
810C2×Dic17C2512yes—
811C2×Dic17C2512yes—
812C2×Dic17C2512yes—
813C2×Dic17C2512yes—
814C2×Dic17C2512yes—
815C2×Dic17C2512yes—
816C2×Dic17C2512yes—
817D68—28no—
818C4×D17—28no—
819C4×D17—28no—
820C4×D17—28no—
821C4×D17—28no—
822C4×D17—28no—
823C4×D17—44no—
824C4×D17—44no—
825C4×D17—44no—
826C4×D17—44no—
827C4×D17—44no—
828Dic34—28no—
829Dic34—28no—
830Dic34—44no—
831Dic34—44no—
832Dic34—44no—
833Dic34—44no—
834Dic34—44no—
835#3563—1732no—
836C2×#564—171no—
837C2×#564—171no—
838C2×#563—171no—
839C2×#563—171no—
840C2×#557—171no—
841C2×#557—171no—
842C2×#554—171no—
843C2×#554—171no—
844C2×#552—171no—
845C2×#552—171no—
846C2×#552—171no—
847C2×#552—171no—
848C2×#552—171no—
849C2×#552—171no—
850C2×#552—171no—
851C2×#552—171no—
852C2×#544—171no—
853C2×#544—171no—
854C2×#544—171no—
855C2×#544—171no—
856C2×#541—171no—
857C2×#541—171no—
858C2×#541—171no—
859C2×#541—171no—
860C2×#541—171no—
861C2×#541D1711yescharacteristic, complemented
862C2×#539—171no—
863C2×#539—171no—
864C2×#533—171no—
865C2×#529—171no—
866C22×#125—171no—
867C22×C17—22no—
868C22×C17—22no—
869C22×C17—22no—
870C22×C17—44no—
871C22×C17C2×2−1+412yes—
872C22×C17C2×2−1+412yes—
873C22×C17#58512yes—
874C22×C17C2611yescharacteristic
875C2×D17—22no—
876C2×D17—22no—
877C2×D17—28no—
878C2×D17—22no—
879C2×D17—22no—
880C2×D17—22no—
881C2×D17—44no—
882C2×D17C2×2−1+414yes—
883C4×C17—22no—
884C4×C17—22no—
885C4×C17—22no—
886C4×C17—22no—
887C4×C17—22no—
888C4×C17—22no—
889C4×C17—22no—
890C4×C17—22no—
891C4×C17—22no—
892C4×C17—22no—
893C4×C17—22no—
894C4×C17—22no—
895C4×C17—22no—
896C4×C17—22no—
897Dic17—22no—
898Dic17—22no—
899Dic17—22no—
900Dic17—22no—
901Dic17—22no—
902Dic17—22no—
903Dic17—22no—
904Dic17—22no—
905Dic17—22no—
906Dic17—22no—
907Dic17—22no—
908Dic17—22no—
909Dic17—22no—
910Dic17C2×2−1+414yes—
911#564—1716no—
912#564—1716no—
913#563—1716no—
914#563—1716no—
915#557—1716no—
916#557—1716no—
917#554—1716no—
918#554—1716no—
919#552—1716no—
920#552—1716no—
921#552—1716no—
922#552—1716no—
923#552—1716no—
924#552—1716no—
925#552—1716no—
926#552—1716no—
927#544—1716no—
928#544—1716no—
929#544—1716no—
930#544—1716no—
931#541—1716no—
932#541—1716no—
933#541—1716no—
934#541—1716no—
935#541—1716no—
936#541C2×D17116yescomplemented
937#539—1716no—
938#539—1716no—
939#533—1716no—
940C2×C4⋊Q8—171no—
941C2×C4⋊Q8—171no—
942C2×C4⋊Q8—171no—
943C2×C4⋊Q8—171no—
944C2×C4⋊Q8—171no—
945C2×C4⋊Q8—171no—
946C2×C4⋊Q8—171no—
947C2×C4⋊Q8—171no—
948C2×C4⋊Q8—171no—
949C2×C4⋊Q8—171no—
950C2×C4⋊Q8—171no—
951C2×C4⋊Q8C2×D1711yescharacteristic
952#529—1716no—
953C2×#126—171no—
954C2×#126—171no—
955C2×#126—171no—
956C2×#126—171no—
957C2×#126—171no—
958C2×#126—171no—
959C2×#126—171no—
960C2×#126—171no—
961C2×#126—171no—
962C2×#126—171no—
963C2×#126—171no—
964C2×#126—171no—
965C2×#126—171no—
966C2×#126—171no—
967C2×#126C2×D1711yescharacteristic
968C2×#126C2×D1711yescharacteristic
969C2×#126C2×D1711yescharacteristic
970C2×#126C2×D1711yescharacteristic
971C2×#125—1716no—
972C2×#125—171no—
973C2×#125—171no—
974C2×#125—171no—
975C2×#125—171no—
976C2×#125—171no—
977C2×#125—171no—
978C2×#125—171no—
979C2×#125—171no—
980C2×#125—171no—
981C2×#125—171no—
982C2×#125—171no—
983C2×#125—171no—
984C2×#125—171no—
985C2×#125—171no—
986C2×#125—171no—
987C2×#125—171no—
988C2×#125—171no—
989C2×#125—171no—
990C2×#125—171no—
991C2×#125—171no—
992C2×#125—171no—
993C2×#125—171no—
994C2×#125—171no—
995C2×#125—171no—
996C2×#125—171no—
997C2×#125—171no—
998C2×#125—171no—
999C2×#125—171no—
1000C2×#125—171no—
1001C2×#125—171no—
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×#125C2×D1711yescharacteristic
1013C2×#125C2×D1711yescharacteristic
1014C2×#125C2×D1711yescharacteristic
1015C2×#125C2×D1711yescharacteristic
1016C2×#125C2×D1711yescharacteristic
1017C2×#124—171no—
1018C2×#123—171no—
1019C2×#123—171no—
1020C2×#123—171no—
1021C2×#123—171no—
1022C2×#123—171no—
1023C2×#123—171no—
1024C2×#123—171no—
1025C2×#123—171no—
1026C2×#123—171no—
1027C2×#123—171no—
1028C2×C22⋊Q8—171no—
1029C2×C22⋊Q8—171no—
1030C2×C22⋊Q8—171no—
1031C2×C22⋊Q8—171no—
1032C2×C22⋊Q8—171no—
1033C2×C22⋊Q8—171no—
1034C2×C22⋊Q8—171no—
1035C2×C22⋊Q8—171no—
1036C2×C22⋊Q8—171no—
1037C2×C22⋊Q8—171no—
1038C2×C22⋊Q8—171no—
1039C2×C22⋊Q8—171no—
1040C2×C22⋊Q8—171no—
1041C2×C22⋊Q8—171no—
1042C2×C22⋊Q8—171no—
1043C2×C22⋊Q8—171no—
1044C2×C22⋊Q8—171no—
1045C2×C22⋊Q8—171no—
1046C2×C22⋊Q8—171no—
1047C2×C22⋊Q8—171no—
1048C2×C22⋊Q8—171no—
1049C2×C22⋊Q8—171no—
1050C2×C22⋊Q8—171no—
1051C2×C22⋊Q8C2×D1711yescharacteristic
1052C2×C22⋊Q8C2×D1711yescharacteristic
1053C2×#121—171no—
1054C2×C4×Q8—171no—
1055C2×C4×Q8—171no—
1056C2×C4×Q8—171no—
1057C2×C4×Q8—171no—
1058C2×C4×Q8—171no—
1059C2×C4×Q8—171no—
1060C2×C4×Q8—171no—
1061C2×C4×Q8—171no—
1062C2×C4×Q8—171no—
1063C2×C4×Q8—171no—
1064C2×C4×Q8—171no—
1065C2×C4×Q8C2×D1711yescharacteristic
1066C2×C4×Q8C2×D1711yescharacteristic
1067C2×C4×D4—171no—
1068C2×C4×D4—171no—
1069C2×C4×D4—171no—
1070C2×C4×D4—171no—
1071C2×C4×D4—171no—
1072C2×C4×D4—171no—
1073C2×C4×D4—171no—
1074C2×#117—171no—
1075C2×#117—171no—
1076C2×#117—171no—
1077C2×#117—171no—
1078C2×#117—171no—
1079C2×#117—171no—
1080C2×#117—171no—
1081C2×#117—171no—
1082C2×#117—171no—
1083C2×#117—171no—
1084C2×#117—171no—
1085C2×#117—171no—
1086C2×#117—171no—
1087C2×#117C2×D1711yescharacteristic
1088C22×C4⋊C4—171no—
1089C22×C4⋊C4—171no—
1090C22×C4⋊C4—171no—
1091C22×C4⋊C4—171no—
1092C22×C4⋊C4—171no—
1093C22×C4⋊C4—171no—
1094C22×C4⋊C4—171no—
1095C22×C4⋊C4—171no—
1096C22×C42—171no—
1097C2×C17—42no—
1098C2×C17#356314yescomplemented
1099C2×C17C22×2−1+411yescharacteristic
1100C2×C17C22×2−1+411yescharacteristic
1101C2×C17C2×#58511yescharacteristic
1102D17—24no—
1103D17—42no—
1104C22×Q8—171no—
1105C22×Q8—171no—
1106C22×Q8—171no—
1107C22×Q8—171no—
1108C22×Q8—171no—
1109C22×Q8—171no—
1110C22×Q8—171no—
1111C22×Q8C22×D1711yescharacteristic
1112C22×Q8C22×D1711yescharacteristic
1113C22×D4—171no—
1114C22×D4—171no—
1115C22×D4—171no—
1116C23×C4—171no—
1117C23×C4—171no—
1118C23×C4—171no—
1119C23×C4—171no—
1120C23×C4—171no—
1121C23×C4—171no—
1122C23×C4—171no—
1123C23×C4—171no—
1124C23×C4—171no—
1125C23×C4—171no—
1126C23×C4—171no—
1127C23×C4—171no—
1128C23×C4C22×D1711yescharacteristic
1129C4⋊Q8—178no—
1130C4⋊Q8—178no—
1131C4⋊Q8—178no—
1132C4⋊Q8—178no—
1133C4⋊Q8—178no—
1134C4⋊Q8—178no—
1135C4⋊Q8—178no—
1136C4⋊Q8—178no—
1137C4⋊Q8—178no—
1138C4⋊Q8—178no—
1139C4⋊Q8—178no—
1140C4⋊Q8C22×D1718yes—
1141#126—178no—
1142#126—178no—
1143#126—178no—
1144#126—178no—
1145#126—178no—
1146#126—178no—
1147#126—178no—
1148#126—178no—
1149#126—178no—
1150#126—178no—
1151#126—178no—
1152#126—178no—
1153#126—178no—
1154#126—178no—
1155#126C22×D1718yes—
1156#126C22×D1718yes—
1157#126C22×D1718yes—
1158#126C22×D1718yes—
1159#125—178no—
1160#125—178no—
1161#125—178no—
1162#125—178no—
1163#125—178no—
1164#125—178no—
1165#125—178no—
1166#125—178no—
1167#125—178no—
1168#125—178no—
1169#125—178no—
1170#125—178no—
1171#125—178no—
1172#125—178no—
1173#125—178no—
1174#125—178no—
1175#125—178no—
1176#125—178no—
1177#125—178no—
1178#125—178no—
1179#125—178no—
1180#125—178no—
1181#125—178no—
1182#125—178no—
1183#125—178no—
1184#125—178no—
1185#125—178no—
1186#125—178no—
1187#125—178no—
1188#125—178no—
1189#125—178no—
1190#125—178no—
1191#125—178no—
1192#125—178no—
1193#125—178no—
1194#125—178no—
1195#125—178no—
1196#125—178no—
1197#125—178no—
1198#125—178no—
1199#125C22×D1718yes—
1200#125C22×D1718yes—
1201#125C22×D1718yes—
1202#125C22×D1718yes—
1203#125C22×D1718yes—
1204#124—178no—
1205#123—178no—
1206#123—178no—
1207#123—178no—
1208#123—178no—
1209#123—178no—
1210#123—178no—
1211#123—178no—
1212#123—178no—
1213#123—178no—
1214#123—178no—
1215C22⋊Q8—178no—
1216C22⋊Q8—178no—
1217C22⋊Q8—178no—
1218C22⋊Q8—178no—
1219C22⋊Q8—178no—
1220C22⋊Q8—178no—
1221C22⋊Q8—178no—
1222C22⋊Q8—178no—
1223C22⋊Q8—178no—
1224C22⋊Q8—178no—
1225C22⋊Q8—178no—
1226C22⋊Q8—178no—
1227C22⋊Q8—178no—
1228C22⋊Q8—178no—
1229C22⋊Q8—178no—
1230C22⋊Q8—178no—
1231C22⋊Q8—178no—
1232C22⋊Q8—178no—
1233C22⋊Q8—178no—
1234C22⋊Q8—178no—
1235C22⋊Q8—178no—
1236C22⋊Q8—178no—
1237C22⋊Q8—178no—
1238C22⋊Q8C22×D1718yes—
1239C22⋊Q8C22×D1718yes—
1240#121—178no—
1241C4×Q8—178no—
1242C4×Q8—178no—
1243C4×Q8—178no—
1244C4×Q8—178no—
1245C4×Q8—178no—
1246C4×Q8—178no—
1247C4×Q8—178no—
1248C4×Q8—178no—
1249C4×Q8—178no—
1250C4×Q8—178no—
1251C4×Q8—178no—
1252C4×Q8C22×D1718yes—
1253C4×Q8C22×D1718yes—
1254C4×D4—178no—
1255C4×D4—178no—
1256C4×D4—178no—
1257C4×D4—178no—
1258C4×D4—178no—
1259C4×D4—178no—
1260C4×D4—178no—
1261#117—178no—
1262#117—178no—
1263#117—178no—
1264#117—178no—
1265#117—178no—
1266#117—178no—
1267#117—178no—
1268#117—178no—
1269#117—178no—
1270#117—178no—
1271#117—178no—
1272#117—178no—
1273#117—178no—
1274#117C22×D1718yes—
1275C2×C4⋊C4—171no—
1276C2×C4⋊C4—171no—
1277C2×C4⋊C4—171no—
1278C2×C4⋊C4—171no—
1279C2×C4⋊C4—171no—
1280C2×C4⋊C4—171no—
1281C2×C4⋊C4—171no—
1282C2×C4⋊C4—171no—
1283C2×C4⋊C4—171no—
1284C2×C4⋊C4—171no—
1285C2×C4⋊C4—171no—
1286C2×C4⋊C4—171no—
1287C2×C4⋊C4—171no—
1288C2×C4⋊C4—171no—
1289C2×C4⋊C4—171no—
1290C2×C4⋊C4—171no—
1291C2×C4⋊C4—171no—
1292C2×C4⋊C4—171no—
1293C2×C4⋊C4—171no—
1294C2×C4⋊C4—171no—
1295C2×C4⋊C4—171no—
1296C2×C4⋊C4—171no—
1297C2×C4⋊C4—171no—
1298C2×C4⋊C4—178no—
1299C2×C4⋊C4—171no—
1300C2×C4⋊C4—171no—
1301C2×C4⋊C4—171no—
1302C2×C4⋊C4—171no—
1303C2×C4⋊C4—171no—
1304C2×C4⋊C4—171no—
1305C2×C4⋊C4—171no—
1306C2×C4⋊C4—171no—
1307C2×C4⋊C4—171no—
1308C2×C4⋊C4—171no—
1309C2×C4⋊C4—171no—
1310C2×C4⋊C4—171no—
1311C2×C4⋊C4—171no—
1312C2×C4⋊C4—171no—
1313C2×C4⋊C4—171no—
1314C2×C4⋊C4—171no—
1315C2×C4⋊C4—171no—
1316C2×C4⋊C4—171no—
1317C2×C4⋊C4—171no—
1318C2×C4⋊C4—171no—
1319C2×C4⋊C4—171no—
1320C2×C4⋊C4—171no—
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—171no—
1334C2×C4⋊C4—171no—
1335C2×C4⋊C4—171no—
1336C2×C4⋊C4—171no—
1337C2×C4⋊C4—171no—
1338C2×C4⋊C4—178no—
1339C2×C4⋊C4—178no—
1340C2×C4⋊C4—178no—
1341C2×C4⋊C4—178no—
1342C2×C4⋊C4—178no—
1343C2×C4⋊C4—178no—
1344C2×C4⋊C4—178no—
1345C2×C4⋊C4C22×D1711yescharacteristic
1346C2×C4⋊C4C22×D1711yescharacteristic
1347C2×C4⋊C4C22×D1711yescharacteristic
1348C2×C4⋊C4C22×D1711yescharacteristic
1349C2×C4⋊C4C22×D1711yescharacteristic
1350C2×C4⋊C4C22×D1711yescharacteristic
1351C2×C4⋊C4C22×D1711yescharacteristic
1352C2×C4⋊C4C22×D1711yescharacteristic
1353C2×C4⋊C4C22×D1711yescharacteristic
1354C2×C4⋊C4C22×D1711yescharacteristic
1355C2×C4⋊C4C22×D1711yescharacteristic
1356C2×C4⋊C4C22×D1711yescharacteristic
1357C2×C4⋊C4C22×D1711yescharacteristic
1358C2×C4⋊C4C22×D1711yescharacteristic
1359C2×C4⋊C4C22×D1711yescharacteristic
1360C2×C4⋊C4C22×D1711yescharacteristic
1361C2×C4⋊C4C22×D1711yescharacteristic
1362C2×C4⋊C4C22×D1711yescharacteristic
1363C2×C4⋊C4C22×D1711yescharacteristic
1364C2×C4⋊C4C22×D1711yescharacteristic
1365C2×C22⋊C4—171no—
1366C2×C22⋊C4—171no—
1367C2×C22⋊C4—171no—
1368C2×C22⋊C4—171no—
1369C2×C22⋊C4—171no—
1370C2×C22⋊C4—171no—
1371C2×C22⋊C4—171no—
1372C2×C22⋊C4—171no—
1373C2×C22⋊C4—171no—
1374C2×C22⋊C4—171no—
1375C2×C22⋊C4—171no—
1376C2×C22⋊C4—171no—
1377C2×C22⋊C4—171no—
1378C2×C22⋊C4—171no—
1379C2×C22⋊C4—171no—
1380C2×C22⋊C4—171no—
1381C2×C22⋊C4—171no—
1382C2×C22⋊C4—171no—
1383C2×C22⋊C4—171no—
1384C2×C22⋊C4—171no—
1385C2×C22⋊C4C22×D1711yescharacteristic
1386C2×C22⋊C4C22×D1711yescharacteristic
1387C2×C22⋊C4C22×D1711yescharacteristic
1388C2×C22⋊C4C22×D1711yescharacteristic
1389C2×C22⋊C4C22×D1711yescharacteristic
1390C2×C22⋊C4C22×D1711yescharacteristic
1391C2×C42—171no—
1392C2×C42—171no—
1393C2×C42—171no—
1394C2×C42—171no—
1395C2×C42—171no—
1396C2×C42—171no—
1397C2×C42—171no—
1398C2×C42—171no—
1399C2×C42—171no—
1400C2×C42—171no—
1401C2×C42—171no—
1402C2×C42—171no—
1403C2×C42—171no—
1404C2×C42—171no—
1405C2×C42—171no—
1406C2×C42—171no—
1407C2×C42—178no—
1408C2×C42C22×D1711yescharacteristic
1409C2×C42C22×D1711yescharacteristic
1410C2×C42C22×D1711yescharacteristic
1411C2×C42C22×D1711yescharacteristic
1412C2×C42C22×D1711yescharacteristic
1413C2×C42C22×D1711yescharacteristic
1414C17C2×#356311yescharacteristic, complemented, Sylow
1415C24—171no—
1416C24—171no—
1417C24C23×D1711yescharacteristic
1418C2×Q8—42no—
1419C2×Q8—42no—
1420C2×Q8—174no—
1421C2×Q8—174no—
1422C2×Q8—174no—
1423C2×Q8—174no—
1424C2×Q8—174no—
1425C2×Q8—174no—
1426C2×Q8—174no—
1427C2×Q8—344no—
1428C2×Q8—344no—
1429C2×Q8—682no—
1430C2×Q8—682no—
1431C2×Q8—682no—
1432C2×Q8—682no—
1433C2×Q8—682no—
1434C2×Q8C23×D1714yes—
1435C2×Q8C23×D1714yes—
1436C2×D4—174no—
1437C2×D4—174no—
1438C2×D4—174no—
1439C2×D4—344no—
1440C2×D4—344no—
1441C2×D4—682no—
1442C22×C4—42no—
1443C22×C4—171no—
1444C22×C4—174no—
1445C22×C4—171no—
1446C22×C4—171no—
1447C22×C4—171no—
1448C22×C4—171no—
1449C22×C4—171no—
1450C22×C4—171no—
1451C22×C4—171no—
1452C22×C4—171no—
1453C22×C4—171no—
1454C22×C4—171no—
1455C22×C4—171no—
1456C22×C4—171no—
1457C22×C4—171no—
1458C22×C4—174no—
1459C22×C4—174no—
1460C22×C4—174no—
1461C22×C4—174no—
1462C22×C4—174no—
1463C22×C4—174no—
1464C22×C4—174no—
1465C22×C4—174no—
1466C22×C4—174no—
1467C22×C4—174no—
1468C22×C4—174no—
1469C22×C4—344no—
1470C22×C4—344no—
1471C22×C4—344no—
1472C22×C4—344no—
1473C22×C4—344no—
1474C22×C4—344no—
1475C22×C4—682no—
1476C22×C4—682no—
1477C22×C4—682no—
1478C22×C4—682no—
1479C22×C4—682no—
1480C22×C4—682no—
1481C22×C4C23×D1711yescharacteristic
1482C22×C4C23×D1711yescharacteristic
1483C22×C4C23×D1711yescharacteristic
1484C22×C4C23×D1711yescharacteristic
1485C22×C4C23×D1711yescharacteristic
1486C22×C4C23×D1711yescharacteristic
1487C22×C4C23×D1711yescharacteristic
1488C22×C4C23×D1711yescharacteristic
1489C22×C4C23×D1711yescharacteristic
1490C22×C4C23×D1711yescharacteristic
1491C22×C4C23×D1711yescharacteristic
1492C22×C4C23×D1711yescharacteristic
1493C22×C4C23×D1711yescharacteristic
1494C22×C4C23×D1711yescharacteristic
1495C22×C4C23×D1714yes—
1496C4⋊C4—174no—
1497C4⋊C4—174no—
1498C4⋊C4—174no—
1499C4⋊C4—174no—
1500C4⋊C4—174no—
1501C4⋊C4—174no—
1502C4⋊C4—174no—
1503C4⋊C4—174no—
1504C4⋊C4—174no—
1505C4⋊C4—174no—
1506C4⋊C4—174no—
1507C4⋊C4—174no—
1508C4⋊C4—174no—
1509C4⋊C4—174no—
1510C4⋊C4—174no—
1511C4⋊C4—174no—
1512C4⋊C4—174no—
1513C4⋊C4—174no—
1514C4⋊C4—174no—
1515C4⋊C4—174no—
1516C4⋊C4—174no—
1517C4⋊C4—174no—
1518C4⋊C4—174no—
1519C4⋊C4—174no—
1520C4⋊C4—174no—
1521C4⋊C4—174no—
1522C4⋊C4—174no—
1523C4⋊C4—174no—
1524C4⋊C4—174no—
1525C4⋊C4—174no—
1526C4⋊C4—174no—
1527C4⋊C4—174no—
1528C4⋊C4—174no—
1529C4⋊C4—174no—
1530C4⋊C4—174no—
1531C4⋊C4—174no—
1532C4⋊C4—174no—
1533C4⋊C4—174no—
1534C4⋊C4—174no—
1535C4⋊C4—174no—
1536C4⋊C4—174no—
1537C4⋊C4—174no—
1538C4⋊C4—174no—
1539C4⋊C4—174no—
1540C4⋊C4—174no—
1541C4⋊C4—174no—
1542C4⋊C4—174no—
1543C4⋊C4—174no—
1544C4⋊C4—174no—
1545C4⋊C4—174no—
1546C4⋊C4—174no—
1547C4⋊C4—174no—
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⋊C4C23×D1714yes—
1559C4⋊C4C23×D1714yes—
1560C4⋊C4C23×D1714yes—
1561C4⋊C4C23×D1714yes—
1562C4⋊C4C23×D1714yes—
1563C4⋊C4C23×D1714yes—
1564C4⋊C4C23×D1714yes—
1565C4⋊C4C23×D1714yes—
1566C4⋊C4C23×D1714yes—
1567C4⋊C4C23×D1714yes—
1568C4⋊C4C23×D1714yes—
1569C4⋊C4C23×D1714yes—
1570C4⋊C4C23×D1714yes—
1571C4⋊C4C23×D1714yes—
1572C4⋊C4C23×D1714yes—
1573C4⋊C4C23×D1714yes—
1574C4⋊C4C23×D1714yes—
1575C4⋊C4C23×D1714yes—
1576C4⋊C4C23×D1714yes—
1577C4⋊C4C23×D1714yes—
1578C22⋊C4—174no—
1579C22⋊C4—174no—
1580C22⋊C4—174no—
1581C22⋊C4—174no—
1582C22⋊C4—174no—
1583C22⋊C4—174no—
1584C22⋊C4—174no—
1585C22⋊C4—174no—
1586C22⋊C4—174no—
1587C22⋊C4—174no—
1588C22⋊C4—174no—
1589C22⋊C4—174no—
1590C22⋊C4—174no—
1591C22⋊C4—174no—
1592C22⋊C4—174no—
1593C22⋊C4—174no—
1594C22⋊C4—174no—
1595C22⋊C4—174no—
1596C22⋊C4—174no—
1597C22⋊C4—174no—
1598C22⋊C4C23×D1714yes—
1599C22⋊C4C23×D1714yes—
1600C22⋊C4C23×D1714yes—
1601C22⋊C4C23×D1714yes—
1602C22⋊C4C23×D1714yes—
1603C22⋊C4C23×D1714yes—
1604C42—174no—
1605C42—174no—
1606C42—174no—
1607C42—174no—
1608C42—174no—
1609C42—174no—
1610C42—174no—
1611C42—174no—
1612C42—174no—
1613C42—174no—
1614C42—174no—
1615C42—174no—
1616C42—174no—
1617C42—174no—
1618C42—174no—
1619C42—174no—
1620C42C23×D1714yes—
1621C42C23×D1714yes—
1622C42C23×D1714yes—
1623C42C23×D1714yes—
1624C42C23×D1714yes—
1625C42C23×D1714yes—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—174no—
1630C23—172no—
1631C23—172no—
1632C23—342no—
1633C23—342no—
1634C23—342no—
1635C23—342no—
1636C23—342no—
1637C23C24×D1712yes—
1638C23C24×D1711yescharacteristic
1639Q8—44no—
1640Q8—44no—
1641Q8—348no—
1642Q8—348no—
1643Q8—684no—
1644Q8—684no—
1645Q8—684no—
1646Q8—684no—
1647Q8—684no—
1648D4—348no—
1649D4—348no—
1650D4—684no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—44no—
1666C2×C4—174no—
1667C2×C4—172no—
1668C2×C4—172no—
1669C2×C4—172no—
1670C2×C4—172no—
1671C2×C4—172no—
1672C2×C4—172no—
1673C2×C4—172no—
1674C2×C4—172no—
1675C2×C4—172no—
1676C2×C4—172no—
1677C2×C4—172no—
1678C2×C4—172no—
1679C2×C4—172no—
1680C2×C4—172no—
1681C2×C4—348no—
1682C2×C4—348no—
1683C2×C4—348no—
1684C2×C4—348no—
1685C2×C4—348no—
1686C2×C4—348no—
1687C2×C4—342no—
1688C2×C4—342no—
1689C2×C4—342no—
1690C2×C4—342no—
1691C2×C4—342no—
1692C2×C4—342no—
1693C2×C4—342no—
1694C2×C4—342no—
1695C2×C4—342no—
1696C2×C4—342no—
1697C2×C4—342no—
1698C2×C4—342no—
1699C2×C4—342no—
1700C2×C4—684no—
1701C2×C4—684no—
1702C2×C4—684no—
1703C2×C4—684no—
1704C2×C4—684no—
1705C2×C4—684no—
1706C2×C4C24×D1712yes—
1707C2×C4C24×D1712yes—
1708C2×C4C24×D1712yes—
1709C2×C4C24×D1712yes—
1710C2×C4C24×D1712yes—
1711C2×C4C24×D1712yes—
1712C2×C4C24×D1712yes—
1713C2×C4C24×D1712yes—
1714C2×C4C24×D1712yes—
1715C2×C4C24×D1712yes—
1716C2×C4C24×D1712yes—
1717C2×C4C24×D1712yes—
1718C2×C4C24×D1712yes—
1719C2×C4C24×D1712yes—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—44no—
1724C22—174no—
1725C22—348no—
1726C22—342no—
1727C22—342no—
1728C22—342no—
1729C22—342no—
1730C22—342no—
1731C22—684no—
1732C222−1+4×D1712yes—
1733C222−1+4×D1712yes—
1734C22#1176364512yes—
1735C22C25×D1711yescharacteristic
1736C4—22no—
1737C4—22no—
1738C4—22no—
1739C4—22no—
1740C4—22no—
1741C4—22no—
1742C4—22no—
1743C4—22no—
1744C4—22no—
1745C4—22no—
1746C4—22no—
1747C4—22no—
1748C4—22no—
1749C4—22no—
1750C4—174no—
1751C4—342no—
1752C4—342no—
1753C4—342no—
1754C4—342no—
1755C4—342no—
1756C4—342no—
1757C4—342no—
1758C4—342no—
1759C4—342no—
1760C4—342no—
1761C4—342no—
1762C4—342no—
1763C4—342no—
1764C2—42no—
1765C2—344no—
1766C2—682no—
1767C2#1454338214yesdirect product factor
1768C2C2×2−1+4×D1711yescharacteristic
1769C2C2×2−1+4×D1711yescharacteristic
1770C2C2×#1176364511yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#541C2
socleC23×C17C25
prime radicalC2×#10587570C22
hypercenterC2×#541D17
hypocenterC17C2×#3563
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#541

Complements

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

NH ≅ G/Ntype
1. #14543382C2direct (N × H)
2. C2×C17⋊#564C2semidirect
3. C2×C17⋊#564C2semidirect
4. C2×#11763561C2semidirect
5. C2×#11763560C2semidirect
6. C2×#11763537C2semidirect
7. C2×#11763536C2semidirect
8. C2×#11763515C2semidirect
9. C2×#11763513C2semidirect
10. C2×#11763500C2semidirect
11. C2×#11763498C2semidirect
12. C2×#11763495C2semidirect
13. C2×#11763495C2semidirect
14. C2×#11763495C2semidirect
15. C2×#11763492C2semidirect
16. C2×#11763491C2semidirect
17. C2×#11763491C2semidirect
18. C2×#11763439C2semidirect
19. C2×#11763438C2semidirect
20. C2×#11763436C2semidirect
21. C2×#11763436C2semidirect
22. C2×#11763418C2semidirect
23. C2×#11763418C2semidirect
24. C2×#11763417C2semidirect
25. C2×#11763416C2semidirect
26. C2×#11763416C2semidirect
29. C2×#11763363C2semidirect
31. C2×#125×D17C2semidirect
32. C2×C17×#541C2semidirect
33. C17⋊#564C22semidirect
34. C17⋊#564C22semidirect
35. #11763561C22semidirect
36. #11763560C22semidirect
37. #11763537C22semidirect
38. #11763536C22semidirect
39. #11763515C22semidirect
40. #11763513C22semidirect
41. #11763500C22semidirect
42. #11763498C22semidirect
43. #11763495C22semidirect
44. #11763495C22semidirect
45. #11763495C22semidirect
46. #11763492C22semidirect
47. #11763491C22semidirect
48. #11763491C22semidirect
49. #11763439C22semidirect
50. #11763438C22semidirect
51. #11763436C22semidirect
52. #11763436C22semidirect
53. #11763418C22semidirect
54. #11763418C22semidirect
55. #11763417C22semidirect
56. #11763416C22semidirect
57. #11763416C22semidirect
60. #11763363C22semidirect
127. #125×D17C22semidirect
203. C17×#541C22semidirect
861. C2×#541D17semidirect
936. #541C2×D17semidirect
1098. C2×C17#3563semidirect
1414. C17C2×#3563semidirect
1767. C2#14543382direct (N × H)

Maximal subgroups

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

subgroupindex
#145433822
C2×C17⋊#5642
C2×#117635612
C2×#117635602
C2×#117635372
C2×#117635362
C2×#117635152
C2×#117635132
C2×#117635002
C2×#117634982
C2×#117634952
C2×#117634922
C2×#117634912
C2×#117634392
C2×#117634382
C2×#117634362
C2×#117634182
C2×#117634172
C2×#117634162
C2×#117634052
C2×#117634002
C2×#117633632
C2×#117633422
C2×#125×D172
C2×C17×#5412
C2×#356317