Finite Group Databasebeta

← C2×#14543468 #17941762

Subgroups — C2×#14543468 #17941762

Order 4352.

6662 conjugacy classes of subgroups.

The subgroup lattice has 1900 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543468C2132yesmaximal, direct product factor
2C2×C17⋊#564C211yesmaximal, characteristic, complemented
3C2×#11763556C211yesmaximal, characteristic, complemented
4C2×#11763554C211yesmaximal, characteristic, complemented
5C2×#11763554C211yesmaximal, characteristic, complemented
6C2×#11763509C211yesmaximal, characteristic, complemented
7C2×#11763508C211yesmaximal, characteristic, complemented
8C2×#11763506C211yesmaximal, characteristic, complemented
9C2×#11763505C211yesmaximal, characteristic, complemented
10C2×#11763502C211yesmaximal, characteristic, complemented
11C2×#11763499C211yesmaximal, characteristic, complemented
12C2×#11763496C211yesmaximal, characteristic, complemented
13C2×#11763495C211yesmaximal, characteristic, complemented
14C2×#11763495C211yesmaximal, characteristic, complemented
15C2×#11763494C211yesmaximal, characteristic, complemented
16C2×#11763492C211yesmaximal, characteristic, complemented
17C2×#11763412C211yesmaximal, characteristic, complemented
18C2×#11763411C211yesmaximal, characteristic, complemented
19C2×#11763410C211yesmaximal, characteristic, complemented
20C2×#11763409C211yesmaximal, characteristic, complemented
21C2×#11763409C211yesmaximal, characteristic, complemented
22C2×#11763409C211yesmaximal, characteristic, complemented
23C2×#11763407C211yesmaximal, characteristic, complemented
24C2×#11763406C211yesmaximal, characteristic, complemented
25C2×#11763403C211yesmaximal, characteristic, complemented
26C2×#11763401C211yesmaximal, characteristic, complemented
27C2×#11763401C211yesmaximal, characteristic, complemented
28C2×#11763400C211yesmaximal, characteristic, complemented
29C2×#11763342C211yesmaximal, characteristic, complemented
30C2×#11763341C211yesmaximal, characteristic, complemented
31C2×#11763337C211yesmaximal, characteristic, complemented
32C2×C17×#553C211yesmaximal, characteristic, complemented
33C17⋊#564C22116yescomplemented
34#11763556C22116yescomplemented
35#11763554C22116yescomplemented
36#11763554C22116yescomplemented
37#11763509C22116yescomplemented
38#11763508C22116yescomplemented
39#11763506C22116yescomplemented
40#11763505C22116yescomplemented
41#11763502C22116yescomplemented
42#11763499C22116yescomplemented
43#11763496C22116yescomplemented
44#11763495C22116yescomplemented
45#11763495C22116yescomplemented
46#11763494C22116yescomplemented
47#11763492C22116yescomplemented
48#11763412C22116yescomplemented
49#11763411C22116yescomplemented
50#11763410C22116yescomplemented
51#11763409C22116yescomplemented
52#11763409C22116yescomplemented
53#11763409C22116yescomplemented
54#11763407C22116yescomplemented
55#11763406C22116yescomplemented
56#11763403C22116yescomplemented
57#11763401C22116yescomplemented
58#11763401C22116yescomplemented
59#11763400C22116yescomplemented
60C2×#10587626C2211yescharacteristic
61C2×#10587626C2211yescharacteristic
62#11763342C22116yescomplemented
63#11763341C22116yescomplemented
64#11763337C22116yescomplemented
65C2×#10587584C2211yescharacteristic
66C2×#10587584C2211yescharacteristic
67C2×#10587584C2211yescharacteristic
68C2×#10587584C2211yescharacteristic
69C2×#10587562C2211yescharacteristic
70C2×#10587562C2211yescharacteristic
71C2×#10587565C2211yescharacteristic
72C2×#10587565C2211yescharacteristic
73C2×#10587565C2211yescharacteristic
74C2×#10587565C2211yescharacteristic
75C2×#10587565C2211yescharacteristic
76C2×#10587565C2211yescharacteristic
77C2×#10587556C2211yescharacteristic
78C2×#10587556C2211yescharacteristic
79C2×#10587556C2211yescharacteristic
80C2×#10587576C2211yescharacteristic
81C2×#10587576C2211yescharacteristic
82C2×#10587576C2211yescharacteristic
83C2×#10587576C2211yescharacteristic
84C2×#10587576C2211yescharacteristic
85C2×#10587575C2211yescharacteristic
86C2×#10587575C2211yescharacteristic
87C2×#10587575C2211yescharacteristic
88C2×#10587575C2211yescharacteristic
89C2×#10587575C2211yescharacteristic
90C2×#10587575C2211yescharacteristic
91C2×#10587575C2211yescharacteristic
92C2×#10587575C2211yescharacteristic
93C2×#10587575C2211yescharacteristic
94C2×#10587575C2211yescharacteristic
95C2×#10587575C2211yescharacteristic
96C2×#10587575C2211yescharacteristic
97C2×#10587622C2211yescharacteristic
98C2×#10587571C2211yescharacteristic
99C2×#10587571C2211yescharacteristic
100C2×#10587580C2211yescharacteristic
101C2×#10587580C2211yescharacteristic
102C2×#10587580C2211yescharacteristic
103C2×#10587580C2211yescharacteristic
104C2×#10587580C2211yescharacteristic
105C2×#10587572C2211yescharacteristic
106C2×#10587572C2211yescharacteristic
107C2×#10587572C2211yescharacteristic
108C2×#10587615C2211yescharacteristic
109C2×#10587615C2211yescharacteristic
110C2×#10587615C2211yescharacteristic
111C2×#10587615C2211yescharacteristic
112C2×#10587615C2211yescharacteristic
113C2×#10587615C2211yescharacteristic
114C2×#10587569C2211yescharacteristic
115C2×#10587569C2211yescharacteristic
116C2×#10587569C2211yescharacteristic
117C2×#10587569C2211yescharacteristic
118C2×#10587569C2211yescharacteristic
119C2×#10587569C2211yescharacteristic
120C2×#10587569C2211yescharacteristic
121C2×#10587569C2211yescharacteristic
122C2×#10587569C2211yescharacteristic
123C2×#10587621C2211yescharacteristic
124C2×#10587621C2211yescharacteristic
125C2×#10587621C2211yescharacteristic
126C2×#10587621C2211yescharacteristic
127C2×#10587621C2211yescharacteristic
128C2×#10587583C2211yescharacteristic
129C2×#10587583C2211yescharacteristic
130C2×#10587610C2211yescharacteristic
131C2×#10587610C2211yescharacteristic
132C2×#10587610C2211yescharacteristic
133C2×#10587582C2211yescharacteristic
134C2×#10587582C2211yescharacteristic
135C2×#10587582C2211yescharacteristic
136C2×#10587582C2211yescharacteristic
137C2×#10587582C2211yescharacteristic
138C2×#10587564C2211yescharacteristic
139C2×#10587564C2211yescharacteristic
140C2×#10587564C2211yescharacteristic
141C2×#10587564C2211yescharacteristic
142C2×#10587564C2211yescharacteristic
143C2×#10587581C2211yescharacteristic
144C2×#10587616C2211yescharacteristic
145C2×#10587616C2211yescharacteristic
146C2×#10587616C2211yescharacteristic
147C2×#10587570C2211yescharacteristic
148C2×#10587570C2211yescharacteristic
149C2×#10587570C2211yescharacteristic
150C2×#10587570C2211yescharacteristic
151C2×#10587570C2211yescharacteristic
152C2×#10587625C2211yescharacteristic
153C2×#10587625C2211yescharacteristic
154C2×#10587625C2211yescharacteristic
155C2×#10587625C2211yescharacteristic
156C2×#10587625C2211yescharacteristic
157C2×#10587625C2211yescharacteristic
158C2×#10587625C2211yescharacteristic
159C2×#10587625C2211yescharacteristic
160C2×#10587625C2211yescharacteristic
161C2×#10587624C2211yescharacteristic
162C2×#10587624C2211yescharacteristic
163C2×#10587624C2211yescharacteristic
164C2×#10587624C2211yescharacteristic
165C2×#10587624C2211yescharacteristic
166C2×C4×Dic34C2211yescharacteristic
167C2×C4×Dic34C2211yescharacteristic
168C2×#10587573C2211yescharacteristic
169C2×C4×D68C2211yescharacteristic
170C2×C4×D68C2211yescharacteristic
171C2×D4×Dic17C2211yescharacteristic
172C2×D4×Dic17C2211yescharacteristic
173C2×#10587579C2211yescharacteristic
174C2×C4×C22⋊D17C2211yescharacteristic
175C2×C4×C22⋊D17C2211yescharacteristic
176C2×C4×C22⋊D17C2211yescharacteristic
177C2×C4×C22⋊D17C2211yescharacteristic
178C2×C4×C22⋊D17C2211yescharacteristic
179C2×C4×C22⋊D17C2211yescharacteristic
180C2×#10587567C2211yescharacteristic
181C2×#10587567C2211yescharacteristic
182C2×#10587567C2211yescharacteristic
183C2×#10587567C2211yescharacteristic
184C2×#10587567C2211yescharacteristic
185C2×#10587567C2211yescharacteristic
186C2×#10587612C2211yescharacteristic
187C2×#10587612C2211yescharacteristic
188C2×#10587612C2211yescharacteristic
189C2×#10587578C2211yescharacteristic
190C2×#10587578C2211yescharacteristic
191C2×#10587558C2211yescharacteristic
192C2×#10587558C2211yescharacteristic
193C2×#10587563C2211yescharacteristic
194C2×#10587563C2211yescharacteristic
195C2×#10587563C2211yescharacteristic
196C2×#10587563C2211yescharacteristic
197C22×C4⋊Dic17C2211yescharacteristic
198C22×#63225C2211yescharacteristic
199C22×#63225C2211yescharacteristic
200C2×C4⋊C4×D17C2211yescharacteristic
201C2×C4⋊C4×D17C2211yescharacteristic
202C2×C42×D17C2211yescharacteristic
203C17×#553C22116yescomplemented
204C2×C17×#126C2211yescharacteristic
205C2×C17×#126C2211yescharacteristic
206C2×C17×#125C2211yescharacteristic
207C2×C17×#123C2211yescharacteristic
208C2×C17×#123C2211yescharacteristic
209C2×C17×#121C2211yescharacteristic
210C2×C17×#121C2211yescharacteristic
211C2×C17×#121C2211yescharacteristic
212C2×C17×#121C2211yescharacteristic
213C2×C4×D4×C17C2211yescharacteristic
214C2×C4×D4×C17C2211yescharacteristic
215C2×C4×D4×C17C2211yescharacteristic
216C2×C4×D4×C17C2211yescharacteristic
217C2×C17×#117C2211yescharacteristic
218C22×C4⋊C4×C17C2211yescharacteristic
219C22×D4×C17C2311yescharacteristic
220C22×D4×C17C2311yescharacteristic
221C22×D4×C17C2311yescharacteristic
222C22×D4×C17C2311yescharacteristic
223C22×D4×C17C2311yescharacteristic
224C22×D4×C17C2311yescharacteristic
225C23×C4×C17C2311yescharacteristic
226C23×C4×C17C2311yescharacteristic
227C23×C4×C17C2311yescharacteristic
228C23×C4×C17C2311yescharacteristic
229C23×C4×C17C2311yescharacteristic
230C23×C4×C17C2311yescharacteristic
231C22×C22⋊D17C2311yescharacteristic
232C22×C22⋊D17C2311yescharacteristic
233C22×C22⋊D17C2311yescharacteristic
234C22×C22⋊D17C2311yescharacteristic
235C22×C22⋊D17C2311yescharacteristic
236C22×C22⋊D17C2311yescharacteristic
237C22×C22⋊D17C2311yescharacteristic
238C22×C22⋊D17C2311yescharacteristic
239C22×C22⋊D17C2311yescharacteristic
240C22×C22⋊D17C2311yescharacteristic
241C22×C22⋊D17C2311yescharacteristic
242C22×C22⋊D17C2311yescharacteristic
243C23×Dic17C2311yescharacteristic
244C23×Dic17C2311yescharacteristic
245C23×Dic17C2311yescharacteristic
246C23×Dic17C2311yescharacteristic
247C23×Dic17C2311yescharacteristic
248C23×Dic17C2311yescharacteristic
249C22×D68C2311yescharacteristic
250C22×D68C2311yescharacteristic
251C22×D68C2311yescharacteristic
252C22×C4×D17C2311yescharacteristic
253C22×C4×D17C2311yescharacteristic
254C22×C4×D17C2311yescharacteristic
255C22×C4×D17C2311yescharacteristic
256C22×C4×D17C2311yescharacteristic
257C22×C4×D17C2311yescharacteristic
258C22×C4×D17C2311yescharacteristic
259C22×C4×D17C2311yescharacteristic
260C22×C4×D17C2311yescharacteristic
261C22×Dic34C2311yescharacteristic
262C22×Dic34C2311yescharacteristic
263C22×Dic34C2311yescharacteristic
264C17×#126C2318yes—
265C17×#126C2318yes—
266C17×#125C2318yes—
267C17×#123C2318yes—
268C17×#123C2318yes—
269C17×#121C2318yes—
270C17×#121C2318yes—
271C17×#121C2318yes—
272C17×#121C2318yes—
273C4×D4×C17C2318yes—
274C4×D4×C17C2318yes—
275C4×D4×C17C2318yes—
276C4×D4×C17C2318yes—
277C17×#117C2318yes—
278C2×C4⋊C4×C17C2311yescharacteristic
279C2×C4⋊C4×C17C2311yescharacteristic
280C2×C4⋊C4×C17C2311yescharacteristic
281C2×C4⋊C4×C17C2311yescharacteristic
282C2×C4⋊C4×C17C2318yes—
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×C22⋊C4×C17C2311yescharacteristic
296C2×C22⋊C4×C17C2311yescharacteristic
297C2×C22⋊C4×C17C2311yescharacteristic
298C2×C22⋊C4×C17C2311yescharacteristic
299C2×C42×C17C2311yescharacteristic
300C2×C42×C17C2311yescharacteristic
301C2×C42×C17C2311yescharacteristic
302C2×C22⋊Dic17C2311yescharacteristic
303C2×C22⋊Dic17C2311yescharacteristic
304C2×C22⋊Dic17C2311yescharacteristic
305C2×C22⋊Dic17C2311yescharacteristic
306C2×C22⋊Dic17C2311yescharacteristic
307C2×C22⋊Dic17C2311yescharacteristic
308C2×C22⋊Dic17C2311yescharacteristic
309C2×C22⋊Dic17C2311yescharacteristic
310C2×C22⋊Dic17C2311yescharacteristic
311C2×C22⋊Dic17C2311yescharacteristic
312C2×C22⋊Dic17C2311yescharacteristic
313C2×C22⋊Dic17C2311yescharacteristic
314C2×C22⋊Dic17C2311yescharacteristic
315C2×C22⋊Dic17C2311yescharacteristic
316#10587626C2318yes—
317#10587626C2318yes—
318#10587625C2318yes—
319#10587625C2318yes—
320#10587625C2318yes—
321#10587625C2318yes—
322#10587625C2318yes—
323#10587625C2318yes—
324#10587625C2318yes—
325#10587625C2318yes—
326#10587625C2318yes—
327#10587624C2318yes—
328#10587624C2318yes—
329#10587624C2318yes—
330#10587624C2318yes—
331#10587624C2318yes—
332#10587622C2318yes—
333#10587621C2318yes—
334#10587621C2318yes—
335#10587621C2318yes—
336#10587621C2318yes—
337#10587621C2318yes—
338D4×Dic17C2318yes—
339D4×Dic17C2318yes—
340#10587616C2318yes—
341#10587616C2318yes—
342#10587616C2318yes—
343#10587615C2318yes—
344#10587615C2318yes—
345#10587615C2318yes—
346#10587615C2318yes—
347#10587615C2318yes—
348#10587615C2318yes—
349C4×C22⋊D17C2318yes—
350C4×C22⋊D17C2318yes—
351C4×C22⋊D17C2318yes—
352C4×C22⋊D17C2318yes—
353C4×C22⋊D17C2318yes—
354C4×C22⋊D17C2318yes—
355C2×#63227C2311yescharacteristic
356C2×#63227C2311yescharacteristic
357C2×#63227C2311yescharacteristic
358C2×#63227C2311yescharacteristic
359C2×#63227C2311yescharacteristic
360C2×#63227C2311yescharacteristic
361C2×#63227C2311yescharacteristic
362C2×#63227C2311yescharacteristic
363C2×#63227C2311yescharacteristic
364C2×#63227C2311yescharacteristic
365C2×#63227C2311yescharacteristic
366C2×#63227C2311yescharacteristic
367C2×#63227C2311yescharacteristic
368C2×#63227C2311yescharacteristic
369C2×#63227C2311yescharacteristic
370C2×#63227C2311yescharacteristic
371C2×#63227C2311yescharacteristic
372C2×#63227C2311yescharacteristic
373#10587612C2318yes—
374#10587612C2318yes—
375#10587612C2318yes—
376C2×C4⋊Dic17C2318yes—
377C2×C4⋊Dic17C2311yescharacteristic
378C2×C4⋊Dic17C2311yescharacteristic
379C2×C4⋊Dic17C2311yescharacteristic
380C2×C4⋊Dic17C2311yescharacteristic
381C2×C4⋊Dic17C2311yescharacteristic
382C2×C4⋊Dic17C2311yescharacteristic
383C2×C4⋊Dic17C2311yescharacteristic
384C2×C4⋊Dic17C2311yescharacteristic
385C2×C4⋊Dic17C2311yescharacteristic
386C2×C4⋊Dic17C2311yescharacteristic
387C2×C4⋊Dic17C2311yescharacteristic
388C2×C4⋊Dic17C2311yescharacteristic
389C2×C4⋊Dic17C2311yescharacteristic
390C2×C4⋊Dic17C2311yescharacteristic
391#10587610C2318yes—
392#10587610C2318yes—
393#10587610C2318yes—
394C2×#63225C2318yes—
395C2×#63225C2318yes—
396C2×#63225C2311yescharacteristic
397C2×#63225C2311yescharacteristic
398C2×#63225C2311yescharacteristic
399C2×#63225C2311yescharacteristic
400C2×#63225C2311yescharacteristic
401C2×#63225C2311yescharacteristic
402C2×#63225C2311yescharacteristic
403C2×#63225C2311yescharacteristic
404C2×#63225C2311yescharacteristic
405C2×#63225C2311yescharacteristic
406C2×#63225C2311yescharacteristic
407C2×#63225C2311yescharacteristic
408C2×#63225C2311yescharacteristic
409C2×#63225C2311yescharacteristic
410C2×#63225C2311yescharacteristic
411C2×#63225C2311yescharacteristic
412C2×#63225C2311yescharacteristic
413C2×#63225C2311yescharacteristic
414C2×#63225C2311yescharacteristic
415C2×#63225C2311yescharacteristic
416C2×#63225C2311yescharacteristic
417C2×#63225C2311yescharacteristic
418C2×#63225C2311yescharacteristic
419C2×#63225C2311yescharacteristic
420C2×#63225C2311yescharacteristic
421C2×#63225C2311yescharacteristic
422C2×#63225C2311yescharacteristic
423C2×#63225C2311yescharacteristic
424C2×#63225C2311yescharacteristic
425C2×#63225C2311yescharacteristic
426C2×C4×Dic17C2311yescharacteristic
427C2×C4×Dic17C2311yescharacteristic
428C2×C4×Dic17C2311yescharacteristic
429C2×C4×Dic17C2311yescharacteristic
430C2×C4×Dic17C2311yescharacteristic
431C2×C4×Dic17C2311yescharacteristic
432C2×C4×Dic17C2311yescharacteristic
433C2×C4×Dic17C2311yescharacteristic
434C2×C4×Dic17C2311yescharacteristic
435C2×C4×Dic17C2311yescharacteristic
436C2×C4×Dic17C2311yescharacteristic
437#10587584C2318yes—
438#10587584C2318yes—
439#10587584C2318yes—
440#10587584C2318yes—
441#10587583C2318yes—
442#10587583C2318yes—
443#10587582C2318yes—
444#10587582C2318yes—
445#10587582C2318yes—
446#10587582C2318yes—
447#10587582C2318yes—
448#10587581C2318yes—
449#10587580C2318yes—
450#10587580C2318yes—
451#10587580C2318yes—
452#10587580C2318yes—
453#10587580C2318yes—
454#10587579C2318yes—
455#10587578C2318yes—
456#10587578C2318yes—
457C4⋊C4×D17C2318yes—
458C4⋊C4×D17C2318yes—
459#10587576C2318yes—
460#10587576C2318yes—
461#10587576C2318yes—
462#10587576C2318yes—
463#10587576C2318yes—
464#10587575C2318yes—
465#10587575C2318yes—
466#10587575C2318yes—
467#10587575C2318yes—
468#10587575C2318yes—
469#10587575C2318yes—
470#10587575C2318yes—
471#10587575C2318yes—
472#10587575C2318yes—
473#10587575C2318yes—
474#10587575C2318yes—
475#10587575C2318yes—
476#10587573C2318yes—
477#10587572C2318yes—
478#10587572C2318yes—
479#10587572C2318yes—
480#10587571C2318yes—
481#10587571C2318yes—
482#10587570C2318yes—
483#10587570C2318yes—
484#10587570C2318yes—
485#10587570C2318yes—
486#10587570C2318yes—
487#10587569C2318yes—
488#10587569C2318yes—
489#10587569C2318yes—
490#10587569C2318yes—
491#10587569C2318yes—
492#10587569C2318yes—
493#10587569C2318yes—
494#10587569C2318yes—
495#10587569C2318yes—
496#10587567C2318yes—
497#10587567C2318yes—
498#10587567C2318yes—
499#10587567C2318yes—
500#10587567C2318yes—
501#10587567C2318yes—
502#10587565C2318yes—
503#10587565C2318yes—
504#10587565C2318yes—
505#10587565C2318yes—
506#10587565C2318yes—
507#10587565C2318yes—
508#10587564C2318yes—
509#10587564C2318yes—
510#10587564C2318yes—
511#10587564C2318yes—
512#10587564C2318yes—
513#10587563C2318yes—
514#10587563C2318yes—
515#10587563C2318yes—
516#10587563C2318yes—
517#10587562C2318yes—
518#10587562C2318yes—
519C4×D68C2318yes—
520C4×D68C2318yes—
521#10587558C2318yes—
522#10587558C2318yes—
523C42×D17C2318yes—
524#10587556C2318yes—
525#10587556C2318yes—
526#10587556C2318yes—
527C4×Dic34C2318yes—
528C4×Dic34C2318yes—
529C24×C17C2411yescharacteristic
530C24×C17C2411yescharacteristic
531C24×C17C2411yescharacteristic
532C24×C17C2411yescharacteristic
533C23×D17C2411yescharacteristic
534C23×D17C2411yescharacteristic
535C23×D17C2411yescharacteristic
536C2×D4×C17—42no—
537C2×D4×C17—42no—
538C2×D4×C17—42no—
539C2×D4×C17—42no—
540C2×D4×C17—42no—
541C2×D4×C17—42no—
542C2×D4×C17C2414yes—
543C2×D4×C17C2414yes—
544C2×D4×C17C2414yes—
545C2×D4×C17C2414yes—
546C2×D4×C17C2414yes—
547C2×D4×C17C2414yes—
548C22×C4×C17—42no—
549C22×C4×C17—42no—
550C22×C4×C17—42no—
551C22×C4×C17—42no—
552C22×C4×C17—42no—
553C22×C4×C17—42no—
554C22×C4×C17C2411yescharacteristic
555C22×C4×C17C2411yescharacteristic
556C22×C4×C17C2411yescharacteristic
557C22×C4×C17C2411yescharacteristic
558C22×C4×C17C2411yescharacteristic
559C22×C4×C17C2411yescharacteristic
560C22×C4×C17C2411yescharacteristic
561C22×C4×C17C2411yescharacteristic
562C22×C4×C17C2411yescharacteristic
563C22×C4×C17C2411yescharacteristic
564C22×C4×C17C2411yescharacteristic
565C22×C4×C17C2414yes—
566C22×C4×C17C2414yes—
567C22×C4×C17C2414yes—
568C22×C4×C17C2414yes—
569C22×C4×C17C2414yes—
570C22×C4×C17C2414yes—
571C2×C22⋊D17—42no—
572C2×C22⋊D17—42no—
573C2×C22⋊D17—42no—
574C2×C22⋊D17—42no—
575C2×C22⋊D17—42no—
576C2×C22⋊D17—42no—
577C2×C22⋊D17—42no—
578C2×C22⋊D17—42no—
579C2×C22⋊D17—42no—
580C2×C22⋊D17—42no—
581C2×C22⋊D17—42no—
582C2×C22⋊D17—42no—
583C2×C22⋊D17C2414yes—
584C2×C22⋊D17C2414yes—
585C2×C22⋊D17C2414yes—
586C2×C22⋊D17C2414yes—
587C2×C22⋊D17C2414yes—
588C2×C22⋊D17C2414yes—
589C2×C22⋊D17C2414yes—
590C2×C22⋊D17C2414yes—
591C2×C22⋊D17C2414yes—
592C2×C22⋊D17C2414yes—
593C2×C22⋊D17C2414yes—
594C2×C22⋊D17C2414yes—
595C22×Dic17—42no—
596C22×Dic17—42no—
597C22×Dic17—42no—
598C22×Dic17—42no—
599C22×Dic17—42no—
600C22×Dic17—42no—
601C22×Dic17C2411yescharacteristic
602C22×Dic17C2411yescharacteristic
603C22×Dic17C2411yescharacteristic
604C22×Dic17C2411yescharacteristic
605C22×Dic17C2411yescharacteristic
606C22×Dic17C2411yescharacteristic
607C22×Dic17C2411yescharacteristic
608C22×Dic17C2411yescharacteristic
609C22×Dic17C2411yescharacteristic
610C22×Dic17C2411yescharacteristic
611C22×Dic17C2411yescharacteristic
612C22×Dic17C2411yescharacteristic
613C22×Dic17C2411yescharacteristic
614C22×Dic17C2414yes—
615C22×Dic17C2414yes—
616C22×Dic17C2414yes—
617C22×Dic17C2414yes—
618C22×Dic17C2414yes—
619C22×Dic17C2414yes—
620C2×D68—42no—
621C2×D68—42no—
622C2×D68—42no—
623C2×D68C2414yes—
624C2×D68C2414yes—
625C2×D68C2414yes—
626C2×C4×D17—42no—
627C2×C4×D17—42no—
628C2×C4×D17—42no—
629C2×C4×D17—42no—
630C2×C4×D17—42no—
631C2×C4×D17—42no—
632C2×C4×D17—42no—
633C2×C4×D17—42no—
634C2×C4×D17—42no—
635C2×C4×D17C2414yes—
636C2×C4×D17C2414yes—
637C2×C4×D17C2414yes—
638C2×C4×D17C2414yes—
639C2×C4×D17C2414yes—
640C2×C4×D17C2414yes—
641C2×C4×D17C2414yes—
642C2×C4×D17C2414yes—
643C2×C4×D17C2414yes—
644C2×Dic34—42no—
645C2×Dic34—42no—
646C2×Dic34—42no—
647C2×Dic34C2414yes—
648C2×Dic34C2414yes—
649C2×Dic34C2414yes—
650C4⋊C4×C17C2414yes—
651C4⋊C4×C17C2414yes—
652C4⋊C4×C17C2414yes—
653C4⋊C4×C17C2414yes—
654C4⋊C4×C17C2414yes—
655C4⋊C4×C17C2414yes—
656C4⋊C4×C17C2414yes—
657C4⋊C4×C17C2414yes—
658C4⋊C4×C17C2414yes—
659C4⋊C4×C17C2414yes—
660C22⋊C4×C17C2414yes—
661C22⋊C4×C17C2414yes—
662C22⋊C4×C17C2414yes—
663C22⋊C4×C17C2414yes—
664C22⋊C4×C17C2414yes—
665C22⋊C4×C17C2414yes—
666C22⋊C4×C17C2414yes—
667C22⋊C4×C17C2414yes—
668C22⋊C4×C17C2414yes—
669C22⋊C4×C17C2414yes—
670C42×C17C2414yes—
671C42×C17C2414yes—
672C42×C17C2414yes—
673C22⋊Dic17C2414yes—
674C22⋊Dic17C2414yes—
675C22⋊Dic17C2414yes—
676C22⋊Dic17C2414yes—
677C22⋊Dic17C2414yes—
678C22⋊Dic17C2414yes—
679C22⋊Dic17C2414yes—
680C22⋊Dic17C2414yes—
681C22⋊Dic17C2414yes—
682C22⋊Dic17C2414yes—
683C22⋊Dic17C2414yes—
684C22⋊Dic17C2414yes—
685C22⋊Dic17C2414yes—
686C22⋊Dic17C2414yes—
687#63227C2414yes—
688#63227C2414yes—
689#63227C2414yes—
690#63227C2414yes—
691#63227C2414yes—
692#63227C2414yes—
693#63227C2414yes—
694#63227C2414yes—
695#63227C2414yes—
696#63227C2414yes—
697#63227C2414yes—
698#63227C2414yes—
699#63227C2414yes—
700#63227C2414yes—
701#63227C2414yes—
702#63227C2414yes—
703#63227C2414yes—
704#63227C2414yes—
705C4⋊Dic17C2414yes—
706C4⋊Dic17C2414yes—
707C4⋊Dic17C2414yes—
708C4⋊Dic17C2414yes—
709C4⋊Dic17C2414yes—
710C4⋊Dic17C2414yes—
711C4⋊Dic17C2414yes—
712C4⋊Dic17C2414yes—
713C4⋊Dic17C2414yes—
714C4⋊Dic17C2414yes—
715C4⋊Dic17C2414yes—
716C4⋊Dic17C2414yes—
717C4⋊Dic17C2414yes—
718C4⋊Dic17C2414yes—
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—
736#63225C2414yes—
737#63225C2414yes—
738#63225C2414yes—
739#63225C2414yes—
740#63225C2414yes—
741#63225C2414yes—
742#63225C2414yes—
743#63225C2414yes—
744#63225C2414yes—
745#63225C2414yes—
746#63225C2414yes—
747#63225C2414yes—
748#63225C2414yes—
749C4×Dic17C2414yes—
750C4×Dic17C2414yes—
751C4×Dic17C2414yes—
752C4×Dic17C2414yes—
753C4×Dic17C2414yes—
754C4×Dic17C2414yes—
755C4×Dic17C2414yes—
756C4×Dic17C2414yes—
757C4×Dic17C2414yes—
758C4×Dic17C2414yes—
759C4×Dic17C2414yes—
760C2×#3567—171nomaximal, Sylow
761C23×C17—22no—
762C23×C17—22no—
763C23×C17—22no—
764C23×C17—22no—
765C23×C17—22no—
766C23×C17—22no—
767C23×C17—22no—
768C23×C17—22no—
769C23×C17—22no—
770C23×C17—22no—
771C23×C17—22no—
772C23×C17—22no—
773C23×C17C2512yes—
774C23×C17C2512yes—
775C23×C17C2512yes—
776C23×C17C2512yes—
777C23×C17C2511yescharacteristic
778C22×D17—22no—
779C22×D17—22no—
780C22×D17—22no—
781C22×D17—22no—
782C22×D17—22no—
783C22×D17—22no—
784C22×D17—22no—
785C22×D17—22no—
786C22×D17—22no—
787C22×D17C2512yes—
788C22×D17C2512yes—
789C22×D17C2512yes—
790D4×C17—44no—
791D4×C17—44no—
792D4×C17—44no—
793D4×C17—44no—
794D4×C17—44no—
795D4×C17—44no—
796C2×C4×C17—22no—
797C2×C4×C17—22no—
798C2×C4×C17—22no—
799C2×C4×C17—22no—
800C2×C4×C17—22no—
801C2×C4×C17—22no—
802C2×C4×C17—22no—
803C2×C4×C17—22no—
804C2×C4×C17—22no—
805C2×C4×C17—22no—
806C2×C4×C17—22no—
807C2×C4×C17—44no—
808C2×C4×C17—44no—
809C2×C4×C17—44no—
810C2×C4×C17—44no—
811C2×C4×C17—44no—
812C2×C4×C17—44no—
813C2×C4×C17C2512yes—
814C2×C4×C17C2512yes—
815C2×C4×C17C2512yes—
816C2×C4×C17C2512yes—
817C2×C4×C17C2512yes—
818C2×C4×C17C2512yes—
819C2×C4×C17C2512yes—
820C2×C4×C17C2512yes—
821C2×C4×C17C2512yes—
822C2×C4×C17C2512yes—
823C2×C4×C17C2512yes—
824C22⋊D17—44no—
825C22⋊D17—44no—
826C22⋊D17—44no—
827C22⋊D17—44no—
828C22⋊D17—44no—
829C22⋊D17—44no—
830C22⋊D17—44no—
831C22⋊D17—44no—
832C22⋊D17—44no—
833C22⋊D17—44no—
834C22⋊D17—44no—
835C22⋊D17—44no—
836C2×Dic17—22no—
837C2×Dic17—22no—
838C2×Dic17—22no—
839C2×Dic17—22no—
840C2×Dic17—22no—
841C2×Dic17—22no—
842C2×Dic17—22no—
843C2×Dic17—22no—
844C2×Dic17—22no—
845C2×Dic17—22no—
846C2×Dic17—22no—
847C2×Dic17—22no—
848C2×Dic17—22no—
849C2×Dic17—44no—
850C2×Dic17—44no—
851C2×Dic17—44no—
852C2×Dic17—44no—
853C2×Dic17—44no—
854C2×Dic17—44no—
855C2×Dic17C2512yes—
856C2×Dic17C2512yes—
857C2×Dic17C2512yes—
858C2×Dic17C2512yes—
859C2×Dic17C2512yes—
860C2×Dic17C2512yes—
861C2×Dic17C2512yes—
862C2×Dic17C2512yes—
863C2×Dic17C2512yes—
864C2×Dic17C2512yes—
865C2×Dic17C2512yes—
866C2×Dic17C2512yes—
867C2×Dic17C2512yes—
868D68—44no—
869D68—44no—
870D68—44no—
871C4×D17—44no—
872C4×D17—44no—
873C4×D17—44no—
874C4×D17—44no—
875C4×D17—44no—
876C4×D17—44no—
877C4×D17—44no—
878C4×D17—44no—
879C4×D17—44no—
880Dic34—44no—
881Dic34—44no—
882Dic34—44no—
883#3567—1732no—
884C2×#564—171no—
885C2×#562—171no—
886C2×#562—171no—
887C2×#562—171no—
888C2×#553—171no—
889C2×#553—171no—
890C2×#553—171no—
891C2×#553—171no—
892C2×#553—171no—
893C2×#553D1711yescharacteristic, complemented
894C2×#552—171no—
895C2×#552—171no—
896C2×#552—171no—
897C2×#552—171no—
898C2×#552—171no—
899C2×#552—171no—
900C2×#540—171no—
901C2×#540—171no—
902C2×#540—171no—
903C2×#540—171no—
904C2×#540—171no—
905C2×#540—171no—
906C2×#539—171no—
907C2×#539—171no—
908C2×#539—171no—
909C2×#539—171no—
910C2×#539—171no—
911C2×#539—171no—
912C2×#529—171no—
913C2×#529—171no—
914C2×#529—171no—
915C22×C17—22no—
916C22×C17—22no—
917C22×C17—22no—
918C22×C17—22no—
919C22×C17—22no—
920C22×C17—22no—
921C22×C17—22no—
922C22×C17—22no—
923C22×C17—22no—
924C22×C17—22no—
925C22×C17—22no—
926C22×C17—22no—
927C22×C17—44no—
928C22×C17—44no—
929C22×C17—44no—
930C22×C17—44no—
931C22×C17#58512yes—
932C22×C17#58512yes—
933C22×C17#58512yes—
934C22×C17C2611yescharacteristic
935C2×D17—22no—
936C2×D17—22no—
937C2×D17—22no—
938C2×D17—22no—
939C2×D17—22no—
940C2×D17—22no—
941C2×D17—22no—
942C2×D17—22no—
943C2×D17—22no—
944C2×D17—44no—
945C2×D17—44no—
946C2×D17—44no—
947C4×C17—22no—
948C4×C17—22no—
949C4×C17—22no—
950C4×C17—22no—
951C4×C17—22no—
952C4×C17—22no—
953C4×C17—22no—
954C4×C17—22no—
955C4×C17—22no—
956C4×C17—22no—
957C4×C17—22no—
958Dic17—22no—
959Dic17—22no—
960Dic17—22no—
961Dic17—22no—
962Dic17—22no—
963Dic17—22no—
964Dic17—22no—
965Dic17—22no—
966Dic17—22no—
967Dic17—22no—
968Dic17—22no—
969Dic17—22no—
970Dic17—22no—
971#564—1716no—
972#562—1716no—
973#562—1716no—
974#562—1716no—
975#553—1716no—
976#553—1716no—
977#553—1716no—
978#553—1716no—
979#553—1716no—
980#553C2×D17116yescomplemented
981#552—1716no—
982#552—1716no—
983#552—1716no—
984#552—1716no—
985#552—1716no—
986#552—1716no—
987#540—1716no—
988#540—1716no—
989#540—1716no—
990#540—1716no—
991#540—1716no—
992#540—1716no—
993#539—1716no—
994#539—1716no—
995#539—1716no—
996#539—1716no—
997#539—1716no—
998#539—1716no—
999C2×#127—171no—
1000C2×#127—171no—
1001#529—1716no—
1002#529—1716no—
1003#529—1716no—
1004C2×#126—171no—
1005C2×#126—171no—
1006C2×#126—171no—
1007C2×#126—171no—
1008C2×#126—171no—
1009C2×#126—171no—
1010C2×#126—171no—
1011C2×#126—171no—
1012C2×#126—171no—
1013C2×#126—171no—
1014C2×#126—171no—
1015C2×#126—171no—
1016C2×#126C2×D1711yescharacteristic
1017C2×#126C2×D1711yescharacteristic
1018C2×#125—171no—
1019C2×#125—171no—
1020C2×#125—171no—
1021C2×#125—171no—
1022C2×#125—171no—
1023C2×#125—171no—
1024C2×#125—171no—
1025C2×#125—171no—
1026C2×#125—171no—
1027C2×#125—171no—
1028C2×#125—171no—
1029C2×#125—171no—
1030C2×#125—171no—
1031C2×#125—171no—
1032C2×#125—171no—
1033C2×#125—171no—
1034C2×#125—171no—
1035C2×#125—171no—
1036C2×#125—171no—
1037C2×#125—171no—
1038C2×#125C2×D1711yescharacteristic
1039C2×#124—171no—
1040C2×#124—171no—
1041C2×#124—171no—
1042C2×#123—171no—
1043C2×#123—171no—
1044C2×#123—171no—
1045C2×#123—171no—
1046C2×#123—171no—
1047C2×#123—171no—
1048C2×#123—171no—
1049C2×#123—171no—
1050C2×#123—171no—
1051C2×#123—171no—
1052C2×#123—171no—
1053C2×#123—171no—
1054C2×#123—171no—
1055C2×#123—171no—
1056C2×#123—171no—
1057C2×#123—171no—
1058C2×#123—171no—
1059C2×#123—171no—
1060C2×#123—171no—
1061C2×#123—171no—
1062C2×#123—171no—
1063C2×#123—171no—
1064C2×#123—171no—
1065C2×#123—171no—
1066C2×#123—171no—
1067C2×#123—171no—
1068C2×#123—171no—
1069C2×#123—171no—
1070C2×#123C2×D1711yescharacteristic
1071C2×#123C2×D1711yescharacteristic
1072C2×C22⋊Q8—171no—
1073C2×C22⋊Q8—171no—
1074C2×C22⋊Q8—171no—
1075C2×C22⋊Q8—171no—
1076C2×C22⋊Q8—171no—
1077C2×C22⋊Q8—171no—
1078C2×C22⋊Q8—171no—
1079C2×C22⋊Q8—171no—
1080C2×C22⋊Q8—171no—
1081C2×C22⋊Q8—171no—
1082C2×C22⋊Q8—171no—
1083C2×C22⋊Q8—171no—
1084C2×C22⋊Q8—171no—
1085C2×C22⋊Q8—171no—
1086C2×C22⋊Q8—171no—
1087C2×#121—171no—
1088C2×#121—171no—
1089C2×#121—171no—
1090C2×#121—171no—
1091C2×#121—171no—
1092C2×#121—171no—
1093C2×#121—171no—
1094C2×#121—171no—
1095C2×#121—171no—
1096C2×#121—171no—
1097C2×#121—171no—
1098C2×#121—171no—
1099C2×#121—171no—
1100C2×#121—171no—
1101C2×#121—171no—
1102C2×#121—171no—
1103C2×#121—171no—
1104C2×#121—171no—
1105C2×#121—171no—
1106C2×#121—171no—
1107C2×#121—171no—
1108C2×#121—171no—
1109C2×#121—171no—
1110C2×#121C2×D1711yescharacteristic
1111C2×#121C2×D1711yescharacteristic
1112C2×#121C2×D1711yescharacteristic
1113C2×#121C2×D1711yescharacteristic
1114C2×C4×Q8—171no—
1115C2×C4×Q8—171no—
1116C2×C4×Q8—171no—
1117C2×C4×D4—171no—
1118C2×C4×D4—171no—
1119C2×C4×D4—171no—
1120C2×C4×D4—171no—
1121C2×C4×D4—171no—
1122C2×C4×D4—171no—
1123C2×C4×D4—171no—
1124C2×C4×D4—171no—
1125C2×C4×D4—171no—
1126C2×C4×D4—171no—
1127C2×C4×D4—171no—
1128C2×C4×D4—171no—
1129C2×C4×D4—171no—
1130C2×C4×D4—171no—
1131C2×C4×D4—171no—
1132C2×C4×D4—171no—
1133C2×C4×D4—171no—
1134C2×C4×D4C2×D1711yescharacteristic
1135C2×C4×D4C2×D1711yescharacteristic
1136C2×C4×D4C2×D1711yescharacteristic
1137C2×C4×D4C2×D1711yescharacteristic
1138C2×#117—171no—
1139C2×#117—171no—
1140C2×#117—171no—
1141C2×#117—171no—
1142C2×#117—171no—
1143C2×#117—171no—
1144C2×#117—171no—
1145C2×#117—171no—
1146C2×#117—171no—
1147C2×#117—171no—
1148C2×#117—171no—
1149C2×#117C2×D1711yescharacteristic
1150C22×C4⋊C4—171no—
1151C22×C4⋊C4—171no—
1152C22×C4⋊C4—171no—
1153C22×C4⋊C4—171no—
1154C22×C4⋊C4—171no—
1155C22×C4⋊C4C2×D1711yescharacteristic
1156C22×C42—171no—
1157C2×C17—42no—
1158C2×C17—42no—
1159C2×C17—42no—
1160C2×C17—42no—
1161C2×C17#356714yescomplemented
1162C2×C17C2×#58511yescharacteristic
1163C2×C17C2×#58511yescharacteristic
1164C2×C17C2×#58511yescharacteristic
1165D17—42no—
1166D17—42no—
1167D17—42no—
1168C22×Q8—171no—
1169C22×Q8—171no—
1170C22×Q8—171no—
1171C22×D4—171no—
1172C22×D4—171no—
1173C22×D4—171no—
1174C22×D4—171no—
1175C22×D4—171no—
1176C22×D4—171no—
1177C22×D4—171no—
1178C22×D4—171no—
1179C22×D4—171no—
1180C22×D4—171no—
1181C22×D4—171no—
1182C22×D4—171no—
1183C22×D4—171no—
1184C22×D4—171no—
1185C22×D4—171no—
1186C22×D4C22×D1711yescharacteristic
1187C22×D4C22×D1711yescharacteristic
1188C22×D4C22×D1711yescharacteristic
1189C22×D4C22×D1711yescharacteristic
1190C22×D4C22×D1711yescharacteristic
1191C22×D4C22×D1711yescharacteristic
1192C23×C4—171no—
1193C23×C4—171no—
1194C23×C4—171no—
1195C23×C4—171no—
1196C23×C4—171no—
1197C23×C4—171no—
1198C23×C4—171no—
1199C23×C4—171no—
1200C23×C4—171no—
1201C23×C4—171no—
1202C23×C4—171no—
1203C23×C4—171no—
1204C23×C4—171no—
1205C23×C4—171no—
1206C23×C4—171no—
1207C23×C4C22×D1711yescharacteristic
1208C23×C4C22×D1711yescharacteristic
1209C23×C4C22×D1711yescharacteristic
1210C23×C4C22×D1711yescharacteristic
1211C23×C4C22×D1711yescharacteristic
1212C23×C4C22×D1711yescharacteristic
1213#127—178no—
1214#127—178no—
1215#126—178no—
1216#126—178no—
1217#126—178no—
1218#126—178no—
1219#126—178no—
1220#126—178no—
1221#126—178no—
1222#126—178no—
1223#126—178no—
1224#126—178no—
1225#126—178no—
1226#126—178no—
1227#126C22×D1718yes—
1228#126C22×D1718yes—
1229#125—178no—
1230#125—178no—
1231#125—178no—
1232#125—178no—
1233#125—178no—
1234#125—178no—
1235#125—178no—
1236#125—178no—
1237#125—178no—
1238#125—178no—
1239#125—178no—
1240#125—178no—
1241#125—178no—
1242#125—178no—
1243#125—178no—
1244#125—178no—
1245#125—178no—
1246#125—178no—
1247#125—178no—
1248#125—178no—
1249#125C22×D1718yes—
1250#124—178no—
1251#124—178no—
1252#124—178no—
1253#123—178no—
1254#123—178no—
1255#123—178no—
1256#123—178no—
1257#123—178no—
1258#123—178no—
1259#123—178no—
1260#123—178no—
1261#123—178no—
1262#123—178no—
1263#123—178no—
1264#123—178no—
1265#123—178no—
1266#123—178no—
1267#123—178no—
1268#123—178no—
1269#123—178no—
1270#123—178no—
1271#123—178no—
1272#123—178no—
1273#123—178no—
1274#123—178no—
1275#123—178no—
1276#123—178no—
1277#123—178no—
1278#123—178no—
1279#123—178no—
1280#123—178no—
1281#123C22×D1718yes—
1282#123C22×D1718yes—
1283C22⋊Q8—178no—
1284C22⋊Q8—178no—
1285C22⋊Q8—178no—
1286C22⋊Q8—178no—
1287C22⋊Q8—178no—
1288C22⋊Q8—178no—
1289C22⋊Q8—178no—
1290C22⋊Q8—178no—
1291C22⋊Q8—178no—
1292C22⋊Q8—178no—
1293C22⋊Q8—178no—
1294C22⋊Q8—178no—
1295C22⋊Q8—178no—
1296C22⋊Q8—178no—
1297C22⋊Q8—178no—
1298#121—178no—
1299#121—178no—
1300#121—178no—
1301#121—178no—
1302#121—178no—
1303#121—178no—
1304#121—178no—
1305#121—178no—
1306#121—178no—
1307#121—178no—
1308#121—178no—
1309#121—178no—
1310#121—178no—
1311#121—178no—
1312#121—178no—
1313#121—178no—
1314#121—178no—
1315#121—178no—
1316#121—178no—
1317#121—178no—
1318#121—178no—
1319#121—178no—
1320#121—178no—
1321#121C22×D1718yes—
1322#121C22×D1718yes—
1323#121C22×D1718yes—
1324#121C22×D1718yes—
1325C4×Q8—178no—
1326C4×Q8—178no—
1327C4×Q8—178no—
1328C4×D4—178no—
1329C4×D4—178no—
1330C4×D4—178no—
1331C4×D4—178no—
1332C4×D4—178no—
1333C4×D4—178no—
1334C4×D4—178no—
1335C4×D4—178no—
1336C4×D4—178no—
1337C4×D4—178no—
1338C4×D4—178no—
1339C4×D4—178no—
1340C4×D4—178no—
1341C4×D4—178no—
1342C4×D4—178no—
1343C4×D4—178no—
1344C4×D4—178no—
1345C4×D4C22×D1718yes—
1346C4×D4C22×D1718yes—
1347C4×D4C22×D1718yes—
1348C4×D4C22×D1718yes—
1349#117—178no—
1350#117—178no—
1351#117—178no—
1352#117—178no—
1353#117—178no—
1354#117—178no—
1355#117—178no—
1356#117—178no—
1357#117—178no—
1358#117—178no—
1359#117—178no—
1360#117C22×D1718yes—
1361C2×C4⋊C4—171no—
1362C2×C4⋊C4—171no—
1363C2×C4⋊C4—171no—
1364C2×C4⋊C4—171no—
1365C2×C4⋊C4—171no—
1366C2×C4⋊C4—171no—
1367C2×C4⋊C4—171no—
1368C2×C4⋊C4—171no—
1369C2×C4⋊C4—171no—
1370C2×C4⋊C4—171no—
1371C2×C4⋊C4—171no—
1372C2×C4⋊C4—171no—
1373C2×C4⋊C4—171no—
1374C2×C4⋊C4—171no—
1375C2×C4⋊C4—171no—
1376C2×C4⋊C4—171no—
1377C2×C4⋊C4—171no—
1378C2×C4⋊C4—171no—
1379C2×C4⋊C4—178no—
1380C2×C4⋊C4—178no—
1381C2×C4⋊C4—178no—
1382C2×C4⋊C4—171no—
1383C2×C4⋊C4—171no—
1384C2×C4⋊C4—171no—
1385C2×C4⋊C4—171no—
1386C2×C4⋊C4—171no—
1387C2×C4⋊C4—171no—
1388C2×C4⋊C4—171no—
1389C2×C4⋊C4—171no—
1390C2×C4⋊C4—171no—
1391C2×C4⋊C4—171no—
1392C2×C4⋊C4—171no—
1393C2×C4⋊C4—171no—
1394C2×C4⋊C4—171no—
1395C2×C4⋊C4—171no—
1396C2×C4⋊C4—171no—
1397C2×C4⋊C4—171no—
1398C2×C4⋊C4—171no—
1399C2×C4⋊C4—171no—
1400C2×C4⋊C4—171no—
1401C2×C4⋊C4—171no—
1402C2×C4⋊C4—171no—
1403C2×C4⋊C4—171no—
1404C2×C4⋊C4—171no—
1405C2×C4⋊C4—171no—
1406C2×C4⋊C4—171no—
1407C2×C4⋊C4—171no—
1408C2×C4⋊C4—178no—
1409C2×C4⋊C4—178no—
1410C2×C4⋊C4C22×D1711yescharacteristic
1411C2×C4⋊C4C22×D1711yescharacteristic
1412C2×C4⋊C4C22×D1711yescharacteristic
1413C2×C4⋊C4C22×D1711yescharacteristic
1414C2×C4⋊C4C22×D1711yescharacteristic
1415C2×C4⋊C4C22×D1711yescharacteristic
1416C2×C4⋊C4C22×D1718yes—
1417C2×C4⋊C4C22×D1711yescharacteristic
1418C2×C4⋊C4C22×D1711yescharacteristic
1419C2×C4⋊C4C22×D1711yescharacteristic
1420C2×C4⋊C4C22×D1711yescharacteristic
1421C2×C22⋊C4—171no—
1422C2×C22⋊C4—171no—
1423C2×C22⋊C4—171no—
1424C2×C22⋊C4—171no—
1425C2×C22⋊C4—171no—
1426C2×C22⋊C4—171no—
1427C2×C22⋊C4—171no—
1428C2×C22⋊C4—171no—
1429C2×C22⋊C4—171no—
1430C2×C22⋊C4—171no—
1431C2×C22⋊C4—171no—
1432C2×C22⋊C4—171no—
1433C2×C22⋊C4—171no—
1434C2×C22⋊C4—171no—
1435C2×C22⋊C4—171no—
1436C2×C22⋊C4—171no—
1437C2×C22⋊C4—171no—
1438C2×C22⋊C4—171no—
1439C2×C22⋊C4—171no—
1440C2×C22⋊C4—171no—
1441C2×C22⋊C4—171no—
1442C2×C22⋊C4—171no—
1443C2×C22⋊C4—171no—
1444C2×C22⋊C4—171no—
1445C2×C22⋊C4—171no—
1446C2×C22⋊C4—171no—
1447C2×C22⋊C4—171no—
1448C2×C22⋊C4—171no—
1449C2×C22⋊C4—171no—
1450C2×C22⋊C4—171no—
1451C2×C22⋊C4—171no—
1452C2×C22⋊C4—171no—
1453C2×C22⋊C4C22×D1711yescharacteristic
1454C2×C22⋊C4C22×D1711yescharacteristic
1455C2×C22⋊C4C22×D1711yescharacteristic
1456C2×C22⋊C4C22×D1711yescharacteristic
1457C2×C22⋊C4C22×D1711yescharacteristic
1458C2×C22⋊C4C22×D1711yescharacteristic
1459C2×C22⋊C4C22×D1711yescharacteristic
1460C2×C22⋊C4C22×D1711yescharacteristic
1461C2×C22⋊C4C22×D1711yescharacteristic
1462C2×C22⋊C4C22×D1711yescharacteristic
1463C2×C42—171no—
1464C2×C42—171no—
1465C2×C42—171no—
1466C2×C42—171no—
1467C2×C42—171no—
1468C2×C42—171no—
1469C2×C42—171no—
1470C2×C42—171no—
1471C2×C42—171no—
1472C2×C42—171no—
1473C2×C42—171no—
1474C2×C42—178no—
1475C2×C42C22×D1711yescharacteristic
1476C2×C42C22×D1711yescharacteristic
1477C2×C42C22×D1711yescharacteristic
1478C17C2×#356711yescharacteristic, complemented, Sylow
1479C24—171no—
1480C24—171no—
1481C24—171no—
1482C24C23×D1711yescharacteristic
1483C24C23×D1711yescharacteristic
1484C24C23×D1711yescharacteristic
1485C24C23×D1711yescharacteristic
1486C2×Q8—174no—
1487C2×Q8—174no—
1488C2×Q8—174no—
1489C2×Q8—682no—
1490C2×Q8—682no—
1491C2×Q8—682no—
1492C2×D4—42no—
1493C2×D4—42no—
1494C2×D4—42no—
1495C2×D4—42no—
1496C2×D4—42no—
1497C2×D4—42no—
1498C2×D4—174no—
1499C2×D4—174no—
1500C2×D4—174no—
1501C2×D4—174no—
1502C2×D4—174no—
1503C2×D4—174no—
1504C2×D4—174no—
1505C2×D4—174no—
1506C2×D4—174no—
1507C2×D4—174no—
1508C2×D4—174no—
1509C2×D4—174no—
1510C2×D4—174no—
1511C2×D4—174no—
1512C2×D4—174no—
1513C2×D4—682no—
1514C2×D4—682no—
1515C2×D4—682no—
1516C2×D4—682no—
1517C2×D4—682no—
1518C2×D4—682no—
1519C2×D4—682no—
1520C2×D4—682no—
1521C2×D4—682no—
1522C2×D4—682no—
1523C2×D4—682no—
1524C2×D4—682no—
1525C2×D4—682no—
1526C2×D4—682no—
1527C2×D4—682no—
1528C2×D4C23×D1714yes—
1529C2×D4C23×D1714yes—
1530C2×D4C23×D1714yes—
1531C2×D4C23×D1714yes—
1532C2×D4C23×D1714yes—
1533C2×D4C23×D1714yes—
1534C22×C4—42no—
1535C22×C4—42no—
1536C22×C4—42no—
1537C22×C4—42no—
1538C22×C4—42no—
1539C22×C4—42no—
1540C22×C4—171no—
1541C22×C4—171no—
1542C22×C4—171no—
1543C22×C4—171no—
1544C22×C4—171no—
1545C22×C4—171no—
1546C22×C4—171no—
1547C22×C4—171no—
1548C22×C4—171no—
1549C22×C4—171no—
1550C22×C4—171no—
1551C22×C4—171no—
1552C22×C4—171no—
1553C22×C4—174no—
1554C22×C4—174no—
1555C22×C4—174no—
1556C22×C4—174no—
1557C22×C4—174no—
1558C22×C4—174no—
1559C22×C4—174no—
1560C22×C4—174no—
1561C22×C4—174no—
1562C22×C4—174no—
1563C22×C4—174no—
1564C22×C4—174no—
1565C22×C4—174no—
1566C22×C4—174no—
1567C22×C4—174no—
1568C22×C4—682no—
1569C22×C4—682no—
1570C22×C4—682no—
1571C22×C4—682no—
1572C22×C4—682no—
1573C22×C4—682no—
1574C22×C4—682no—
1575C22×C4—682no—
1576C22×C4—682no—
1577C22×C4—682no—
1578C22×C4—682no—
1579C22×C4—682no—
1580C22×C4—682no—
1581C22×C4—682no—
1582C22×C4—682no—
1583C22×C4C23×D1711yescharacteristic
1584C22×C4C23×D1711yescharacteristic
1585C22×C4C23×D1711yescharacteristic
1586C22×C4C23×D1711yescharacteristic
1587C22×C4C23×D1711yescharacteristic
1588C22×C4C23×D1711yescharacteristic
1589C22×C4C23×D1711yescharacteristic
1590C22×C4C23×D1711yescharacteristic
1591C22×C4C23×D1711yescharacteristic
1592C22×C4C23×D1711yescharacteristic
1593C22×C4C23×D1711yescharacteristic
1594C22×C4C23×D1714yes—
1595C22×C4C23×D1714yes—
1596C22×C4C23×D1714yes—
1597C22×C4C23×D1714yes—
1598C22×C4C23×D1714yes—
1599C22×C4C23×D1714yes—
1600C4⋊C4—174no—
1601C4⋊C4—174no—
1602C4⋊C4—174no—
1603C4⋊C4—174no—
1604C4⋊C4—174no—
1605C4⋊C4—174no—
1606C4⋊C4—174no—
1607C4⋊C4—174no—
1608C4⋊C4—174no—
1609C4⋊C4—174no—
1610C4⋊C4—174no—
1611C4⋊C4—174no—
1612C4⋊C4—174no—
1613C4⋊C4—174no—
1614C4⋊C4—174no—
1615C4⋊C4—174no—
1616C4⋊C4—174no—
1617C4⋊C4—174no—
1618C4⋊C4—174no—
1619C4⋊C4—174no—
1620C4⋊C4—174no—
1621C4⋊C4—174no—
1622C4⋊C4—174no—
1623C4⋊C4—174no—
1624C4⋊C4—174no—
1625C4⋊C4—174no—
1626C4⋊C4—174no—
1627C4⋊C4—174no—
1628C4⋊C4—174no—
1629C4⋊C4—174no—
1630C4⋊C4—174no—
1631C4⋊C4—174no—
1632C4⋊C4—174no—
1633C4⋊C4—174no—
1634C4⋊C4—174no—
1635C4⋊C4—174no—
1636C4⋊C4—174no—
1637C4⋊C4—174no—
1638C4⋊C4—174no—
1639C4⋊C4—174no—
1640C4⋊C4—174no—
1641C4⋊C4—174no—
1642C4⋊C4—174no—
1643C4⋊C4—174no—
1644C4⋊C4C23×D1714yes—
1645C4⋊C4C23×D1714yes—
1646C4⋊C4C23×D1714yes—
1647C4⋊C4C23×D1714yes—
1648C4⋊C4C23×D1714yes—
1649C4⋊C4C23×D1714yes—
1650C4⋊C4C23×D1714yes—
1651C4⋊C4C23×D1714yes—
1652C4⋊C4C23×D1714yes—
1653C4⋊C4C23×D1714yes—
1654C22⋊C4—174no—
1655C22⋊C4—174no—
1656C22⋊C4—174no—
1657C22⋊C4—174no—
1658C22⋊C4—174no—
1659C22⋊C4—174no—
1660C22⋊C4—174no—
1661C22⋊C4—174no—
1662C22⋊C4—174no—
1663C22⋊C4—174no—
1664C22⋊C4—174no—
1665C22⋊C4—174no—
1666C22⋊C4—174no—
1667C22⋊C4—174no—
1668C22⋊C4—174no—
1669C22⋊C4—174no—
1670C22⋊C4—174no—
1671C22⋊C4—174no—
1672C22⋊C4—174no—
1673C22⋊C4—174no—
1674C22⋊C4—174no—
1675C22⋊C4—174no—
1676C22⋊C4—174no—
1677C22⋊C4—174no—
1678C22⋊C4—174no—
1679C22⋊C4—174no—
1680C22⋊C4—174no—
1681C22⋊C4—174no—
1682C22⋊C4—174no—
1683C22⋊C4—174no—
1684C22⋊C4—174no—
1685C22⋊C4—174no—
1686C22⋊C4C23×D1714yes—
1687C22⋊C4C23×D1714yes—
1688C22⋊C4C23×D1714yes—
1689C22⋊C4C23×D1714yes—
1690C22⋊C4C23×D1714yes—
1691C22⋊C4C23×D1714yes—
1692C22⋊C4C23×D1714yes—
1693C22⋊C4C23×D1714yes—
1694C22⋊C4C23×D1714yes—
1695C22⋊C4C23×D1714yes—
1696C42—174no—
1697C42—174no—
1698C42—174no—
1699C42—174no—
1700C42—174no—
1701C42—174no—
1702C42—174no—
1703C42—174no—
1704C42—174no—
1705C42—174no—
1706C42—174no—
1707C42C23×D1714yes—
1708C42C23×D1714yes—
1709C42C23×D1714yes—
1710C23—22no—
1711C23—22no—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—172no—
1723C23—172no—
1724C23—172no—
1725C23—342no—
1726C23—342no—
1727C23—342no—
1728C23—342no—
1729C23—342no—
1730C23—342no—
1731C23—342no—
1732C23—342no—
1733C23—342no—
1734C23C24×D1712yes—
1735C23C24×D1712yes—
1736C23C24×D1712yes—
1737C23C24×D1712yes—
1738C23C24×D1711yescharacteristic
1739Q8—684no—
1740Q8—684no—
1741Q8—684no—
1742D4—44no—
1743D4—44no—
1744D4—44no—
1745D4—44no—
1746D4—44no—
1747D4—44no—
1748D4—684no—
1749D4—684no—
1750D4—684no—
1751D4—684no—
1752D4—684no—
1753D4—684no—
1754D4—684no—
1755D4—684no—
1756D4—684no—
1757D4—684no—
1758D4—684no—
1759D4—684no—
1760D4—684no—
1761D4—684no—
1762D4—684no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—44no—
1775C2×C4—44no—
1776C2×C4—44no—
1777C2×C4—44no—
1778C2×C4—44no—
1779C2×C4—44no—
1780C2×C4—172no—
1781C2×C4—172no—
1782C2×C4—172no—
1783C2×C4—172no—
1784C2×C4—172no—
1785C2×C4—172no—
1786C2×C4—172no—
1787C2×C4—172no—
1788C2×C4—172no—
1789C2×C4—172no—
1790C2×C4—172no—
1791C2×C4—172no—
1792C2×C4—172no—
1793C2×C4—342no—
1794C2×C4—342no—
1795C2×C4—342no—
1796C2×C4—342no—
1797C2×C4—342no—
1798C2×C4—342no—
1799C2×C4—342no—
1800C2×C4—342no—
1801C2×C4—342no—
1802C2×C4—342no—
1803C2×C4—342no—
1804C2×C4—342no—
1805C2×C4—342no—
1806C2×C4—684no—
1807C2×C4—684no—
1808C2×C4—684no—
1809C2×C4—684no—
1810C2×C4—684no—
1811C2×C4—684no—
1812C2×C4—684no—
1813C2×C4—684no—
1814C2×C4—684no—
1815C2×C4—684no—
1816C2×C4—684no—
1817C2×C4—684no—
1818C2×C4—684no—
1819C2×C4—684no—
1820C2×C4—684no—
1821C2×C4C24×D1712yes—
1822C2×C4C24×D1712yes—
1823C2×C4C24×D1712yes—
1824C2×C4C24×D1712yes—
1825C2×C4C24×D1712yes—
1826C2×C4C24×D1712yes—
1827C2×C4C24×D1712yes—
1828C2×C4C24×D1712yes—
1829C2×C4C24×D1712yes—
1830C2×C4C24×D1712yes—
1831C2×C4C24×D1712yes—
1832C22—22no—
1833C22—22no—
1834C22—22no—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—44no—
1845C22—44no—
1846C22—44no—
1847C22—44no—
1848C22—342no—
1849C22—342no—
1850C22—342no—
1851C22—342no—
1852C22—342no—
1853C22—342no—
1854C22—342no—
1855C22—342no—
1856C22—342no—
1857C22—684no—
1858C22—684no—
1859C22—684no—
1860C22#1176364412yes—
1861C22#1176364512yes—
1862C22#1176364512yes—
1863C22C25×D1711yescharacteristic
1864C4—22no—
1865C4—22no—
1866C4—22no—
1867C4—22no—
1868C4—22no—
1869C4—22no—
1870C4—22no—
1871C4—22no—
1872C4—22no—
1873C4—22no—
1874C4—22no—
1875C4—342no—
1876C4—342no—
1877C4—342no—
1878C4—342no—
1879C4—342no—
1880C4—342no—
1881C4—342no—
1882C4—342no—
1883C4—342no—
1884C4—342no—
1885C4—342no—
1886C4—342no—
1887C4—342no—
1888C2—42no—
1889C2—42no—
1890C2—42no—
1891C2—42no—
1892C2—682no—
1893C2—682no—
1894C2—682no—
1895C2#1454346814yesdirect product factor
1896C2C2×#1176364411yescharacteristic
1897C2C2×#1176364511yescharacteristic
1898C2C2×#1176364511yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#553C2
socleC23×C17C25
hypercenterC2×#553D17
hypocenterC17C2×#3567
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. #14543468C2direct (N × H)
2. C2×C17⋊#564C2semidirect
3. C2×#11763556C2semidirect
4. C2×#11763554C2semidirect
5. C2×#11763554C2semidirect
6. C2×#11763509C2semidirect
7. C2×#11763508C2semidirect
8. C2×#11763506C2semidirect
9. C2×#11763505C2semidirect
10. C2×#11763502C2semidirect
11. C2×#11763499C2semidirect
12. C2×#11763496C2semidirect
13. C2×#11763495C2semidirect
14. C2×#11763495C2semidirect
15. C2×#11763494C2semidirect
16. C2×#11763492C2semidirect
17. C2×#11763412C2semidirect
18. C2×#11763411C2semidirect
19. C2×#11763410C2semidirect
20. C2×#11763409C2semidirect
21. C2×#11763409C2semidirect
22. C2×#11763409C2semidirect
23. C2×#11763407C2semidirect
24. C2×#11763406C2semidirect
25. C2×#11763403C2semidirect
26. C2×#11763401C2semidirect
27. C2×#11763401C2semidirect
28. C2×#11763400C2semidirect
29. C2×#11763342C2semidirect
30. C2×#11763341C2semidirect
31. C2×#11763337C2semidirect
32. C2×C17×#553C2semidirect
33. C17⋊#564C22semidirect
34. #11763556C22semidirect
35. #11763554C22semidirect
36. #11763554C22semidirect
37. #11763509C22semidirect
38. #11763508C22semidirect
39. #11763506C22semidirect
40. #11763505C22semidirect
41. #11763502C22semidirect
42. #11763499C22semidirect
43. #11763496C22semidirect
44. #11763495C22semidirect
45. #11763495C22semidirect
46. #11763494C22semidirect
47. #11763492C22semidirect
48. #11763412C22semidirect
49. #11763411C22semidirect
50. #11763410C22semidirect
51. #11763409C22semidirect
52. #11763409C22semidirect
53. #11763409C22semidirect
54. #11763407C22semidirect
55. #11763406C22semidirect
56. #11763403C22semidirect
57. #11763401C22semidirect
58. #11763401C22semidirect
59. #11763400C22semidirect
62. #11763342C22semidirect
63. #11763341C22semidirect
64. #11763337C22semidirect
203. C17×#553C22semidirect
893. C2×#553D17semidirect
980. #553C2×D17semidirect
1161. C2×C17#3567semidirect
1478. C17C2×#3567semidirect
1895. C2#14543468direct (N × H)

Maximal subgroups

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

subgroupindex
#145434682
C2×C17⋊#5642
C2×#117635562
C2×#117635542
C2×#117635092
C2×#117635082
C2×#117635062
C2×#117635052
C2×#117635022
C2×#117634992
C2×#117634962
C2×#117634952
C2×#117634942
C2×#117634922
C2×#117634122
C2×#117634112
C2×#117634102
C2×#117634092
C2×#117634072
C2×#117634062
C2×#117634032
C2×#117634012
C2×#117634002
C2×#117633422
C2×#117633412
C2×#117633372
C2×C17×#5532
C2×#356717