Finite Group Databasebeta

← C2×#14542700 #17942820

Subgroups — C2×#14542700 #17942820

Order 4352.

7238 conjugacy classes of subgroups.

The subgroup lattice has 1928 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542700C2132yesmaximal, direct product factor
2C2×#11763511C211yesmaximal, characteristic, complemented
3C2×#11763510C211yesmaximal, characteristic, complemented
4C2×#11763508C211yesmaximal, characteristic, complemented
5C2×#11763508C211yesmaximal, characteristic, complemented
6C2×#11763508C211yesmaximal, characteristic, complemented
7C2×#11763507C211yesmaximal, characteristic, complemented
8C2×#11763505C211yesmaximal, characteristic, complemented
9C2×#11763504C211yesmaximal, characteristic, complemented
10C2×#11763502C211yesmaximal, characteristic, complemented
11C2×#11763502C211yesmaximal, characteristic, complemented
12C2×#11763502C211yesmaximal, characteristic, complemented
13C2×#11763496C211yesmaximal, characteristic, complemented
14C2×#11763495C211yesmaximal, characteristic, complemented
15C2×#11763492C211yesmaximal, characteristic, complemented
16C2×#11763491C211yesmaximal, characteristic, complemented
17C2×#11763418C211yesmaximal, characteristic, complemented
18C2×#11763416C211yesmaximal, characteristic, complemented
19C2×#11763411C211yesmaximal, characteristic, complemented
20C2×#11763409C211yesmaximal, characteristic, complemented
21C2×#11763386C211yesmaximal, characteristic, complemented
22C2×#11763386C211yesmaximal, characteristic, complemented
23C2×#11763354C211yesmaximal, characteristic, complemented
24C2×#11763342C211yesmaximal, characteristic, complemented
25C2×#11763339C211yesmaximal, characteristic, complemented
26C2×#11763337C211yesmaximal, characteristic, complemented
27C2×#11763336C211yesmaximal, characteristic, complemented
28C22×#10587575C211yesmaximal, characteristic, complemented
29C2×#11763288C211yesmaximal, characteristic, complemented
30C2×#11763288C211yesmaximal, characteristic, complemented
31C2×C4×#63254C211yesmaximal, characteristic, complemented
32C2×C17×#553C211yesmaximal, characteristic, complemented
33C22×#63254C2211yescharacteristic
34C22×#63254C2211yescharacteristic
35C22×#63254C2211yescharacteristic
36#11763511C22116yescomplemented
37#11763510C22116yescomplemented
38#11763508C22116yescomplemented
39#11763508C22116yescomplemented
40#11763508C22116yescomplemented
41#11763507C22116yescomplemented
42#11763505C22116yescomplemented
43#11763504C22116yescomplemented
44#11763502C22116yescomplemented
45#11763502C22116yescomplemented
46#11763502C22116yescomplemented
47#11763496C22116yescomplemented
48#11763495C22116yescomplemented
49#11763492C22116yescomplemented
50#11763491C22116yescomplemented
51#11763418C22116yescomplemented
52#11763416C22116yescomplemented
53#11763411C22116yescomplemented
54#11763409C22116yescomplemented
55#11763386C22116yescomplemented
56#11763386C22116yescomplemented
57#11763354C22116yescomplemented
58C2×#10587574C2211yescharacteristic
59C2×#10587626C2211yescharacteristic
60#11763342C22116yescomplemented
61#11763339C22116yescomplemented
62#11763337C22116yescomplemented
63#11763336C22116yescomplemented
64C2×#10587584C2211yescharacteristic
65C2×#10587584C2211yescharacteristic
66C2×#10587584C2211yescharacteristic
67C2×#10587584C2211yescharacteristic
68C2×#10587584C2211yescharacteristic
69C2×#10587584C2211yescharacteristic
70C2×#10587562C2211yescharacteristic
71C2×#10587562C2211yescharacteristic
72C2×#10587565C2211yescharacteristic
73C2×#10587565C2211yescharacteristic
74C2×#10587565C2211yescharacteristic
75C2×#10587565C2211yescharacteristic
76C2×#10587565C2211yescharacteristic
77C2×#10587565C2211yescharacteristic
78C2×#10587556C2211yescharacteristic
79C2×#10587576C2211yescharacteristic
80C2×#10587576C2211yescharacteristic
81C2×#10587575C2211yescharacteristic
82C2×#10587575C2211yescharacteristic
83C2×#10587575C2211yescharacteristic
84C2×#10587575C2211yescharacteristic
85C2×#10587575C2211yescharacteristic
86C2×#10587575C2211yescharacteristic
87C2×#10587575C2211yescharacteristic
88C2×#10587575C2211yescharacteristic
89C2×#10587575C2211yescharacteristic
90C2×#10587575C2211yescharacteristic
91C2×#10587575C2211yescharacteristic
92C2×#10587575C2211yescharacteristic
93C2×#10587575C22116yescomplemented
94C2×#10587571C2211yescharacteristic
95C2×#10587571C2211yescharacteristic
96C2×#10587580C2211yescharacteristic
97C2×#10587580C2211yescharacteristic
98C2×#10587580C2211yescharacteristic
99C2×#10587580C2211yescharacteristic
100C2×#10587572C2211yescharacteristic
101C2×#10587572C2211yescharacteristic
102C2×#10587615C2211yescharacteristic
103C2×#10587615C2211yescharacteristic
104C2×#10587569C2211yescharacteristic
105C2×#10587569C2211yescharacteristic
106C2×#10587569C2211yescharacteristic
107C2×#10587569C2211yescharacteristic
108C2×#10587621C2211yescharacteristic
109C2×#10587621C2211yescharacteristic
110C2×#10587582C2211yescharacteristic
111C2×#10587582C2211yescharacteristic
112C2×#10587582C2211yescharacteristic
113C2×#10587582C2211yescharacteristic
114C2×#10587564C2211yescharacteristic
115C2×#10587564C2211yescharacteristic
116C2×#10587564C2211yescharacteristic
117C2×#10587564C2211yescharacteristic
118C2×#10587581C2211yescharacteristic
119C2×#10587616C2211yescharacteristic
120C2×#10587616C2211yescharacteristic
121C2×#10587616C2211yescharacteristic
122C2×#10587616C2211yescharacteristic
123C2×#10587570C2211yescharacteristic
124C2×#10587570C2211yescharacteristic
125C2×#10587570C2211yescharacteristic
126C2×#10587570C2211yescharacteristic
127C2×#10587570C2211yescharacteristic
128C2×#10587570C2211yescharacteristic
129C2×#10587625C2211yescharacteristic
130C2×#10587625C2211yescharacteristic
131C2×#10587625C2211yescharacteristic
132C2×#10587625C2211yescharacteristic
133C2×#10587625C2211yescharacteristic
134C2×#10587625C2211yescharacteristic
135C2×#10587625C2211yescharacteristic
136C2×#10587625C2211yescharacteristic
137C2×#10587625C2211yescharacteristic
138C2×#10587625C2211yescharacteristic
139C2×#10587625C2211yescharacteristic
140C2×#10587625C2211yescharacteristic
141C2×#10587624C2211yescharacteristic
142#11763288C22116yescomplemented
143#11763288C22116yescomplemented
144C4×#63254C22116yescomplemented
145C2×C4×Dic34C2211yescharacteristic
146C2×C4×Dic34C2211yescharacteristic
147C2×C4×Dic34C2211yescharacteristic
148C2×#10587573C2211yescharacteristic
149C2×#10587573C2211yescharacteristic
150C2×#10587573C2211yescharacteristic
151C2×C4×D68C2211yescharacteristic
152C2×D4×Dic17C2211yescharacteristic
153C2×D4×Dic17C2211yescharacteristic
154C2×D4×Dic17C2211yescharacteristic
155C2×D4×Dic17C2211yescharacteristic
156C2×D4×Dic17C2211yescharacteristic
157C2×#10587579C2211yescharacteristic
158C2×#10587579C2211yescharacteristic
159C2×C4×C22⋊D17C2211yescharacteristic
160C2×C4×C22⋊D17C2211yescharacteristic
161C2×C4×C22⋊D17C2211yescharacteristic
162C2×C4×C22⋊D17C2211yescharacteristic
163C2×C4×C22⋊D17C2211yescharacteristic
164C2×C4×C22⋊D17C2211yescharacteristic
165C2×C4×C22⋊D17C2211yescharacteristic
166C2×C4×C22⋊D17C2211yescharacteristic
167C2×#10587567C2211yescharacteristic
168C2×#10587567C2211yescharacteristic
169C2×#10587567C2211yescharacteristic
170C2×#10587567C2211yescharacteristic
171C2×#10587567C2211yescharacteristic
172C2×#10587567C2211yescharacteristic
173C2×#10587567C2211yescharacteristic
174C2×#10587567C2211yescharacteristic
175C2×#10587567C2211yescharacteristic
176C2×#10587567C2211yescharacteristic
177C2×#10587612C2211yescharacteristic
178C2×#10587578C2211yescharacteristic
179C2×#10587578C2211yescharacteristic
180C2×#10587578C2211yescharacteristic
181C2×#10587558C2211yescharacteristic
182C2×#10587558C2211yescharacteristic
183C2×#10587558C2211yescharacteristic
184C2×#10587558C2211yescharacteristic
185C2×#10587563C2211yescharacteristic
186C2×#10587563C2211yescharacteristic
187C2×#10587563C2211yescharacteristic
188C2×#10587563C2211yescharacteristic
189C2×#10587563C2211yescharacteristic
190C2×#10587563C2211yescharacteristic
191C22×C4⋊Dic17C2211yescharacteristic
192C22×#63225C2211yescharacteristic
193C22×#63225C2211yescharacteristic
194C22×#63225C2211yescharacteristic
195C22×#63225C2211yescharacteristic
196C22×#63225C2211yescharacteristic
197C22×#63225C2211yescharacteristic
198C2×C4⋊C4×D17C2211yescharacteristic
199C2×C4⋊C4×D17C2211yescharacteristic
200C22×C4×Dic17C2211yescharacteristic
201C22×C4×Dic17C2211yescharacteristic
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
249C23×Dic17C2311yescharacteristic
250C23×Dic17C2311yescharacteristic
251C23×Dic17C2311yescharacteristic
252C23×Dic17C2311yescharacteristic
253C2×#63254—28no—
254C2×#63254—28no—
255C2×#63254—28no—
256C2×#63254C2318yes—
257C2×#63254C2318yes—
258C2×#63254C2318yes—
259C22×D68C2311yescharacteristic
260C22×D68C2311yescharacteristic
261C22×D68C2311yescharacteristic
262C22×C4×D17C2311yescharacteristic
263C22×C4×D17C2311yescharacteristic
264C22×C4×D17C2311yescharacteristic
265C22×C4×D17C2311yescharacteristic
266C22×C4×D17C2311yescharacteristic
267C22×C4×D17C2311yescharacteristic
268C22×C4×D17C2311yescharacteristic
269C22×C4×D17C2311yescharacteristic
270C22×C4×D17C2311yescharacteristic
271C22×Dic34C2311yescharacteristic
272C22×Dic34C2311yescharacteristic
273C22×Dic34C2311yescharacteristic
274C17×#126C2318yes—
275C17×#126C2318yes—
276C17×#125C2318yes—
277C17×#123C2318yes—
278C17×#123C2318yes—
279C17×#121C2318yes—
280C17×#121C2318yes—
281C17×#121C2318yes—
282C17×#121C2318yes—
283C4×D4×C17C2318yes—
284C4×D4×C17C2318yes—
285C4×D4×C17C2318yes—
286C4×D4×C17C2318yes—
287C17×#117C2318yes—
288C2×C4⋊C4×C17C2311yescharacteristic
289C2×C4⋊C4×C17C2311yescharacteristic
290C2×C4⋊C4×C17C2311yescharacteristic
291C2×C4⋊C4×C17C2311yescharacteristic
292C2×C4⋊C4×C17C2318yes—
293C2×C4⋊C4×C17C2311yescharacteristic
294C2×C4⋊C4×C17C2311yescharacteristic
295C2×C4⋊C4×C17C2311yescharacteristic
296C2×C4⋊C4×C17C2311yescharacteristic
297C2×C4⋊C4×C17C2311yescharacteristic
298C2×C4⋊C4×C17C2311yescharacteristic
299C2×C22⋊C4×C17C2311yescharacteristic
300C2×C22⋊C4×C17C2311yescharacteristic
301C2×C22⋊C4×C17C2311yescharacteristic
302C2×C22⋊C4×C17C2311yescharacteristic
303C2×C22⋊C4×C17C2311yescharacteristic
304C2×C22⋊C4×C17C2311yescharacteristic
305C2×C22⋊C4×C17C2311yescharacteristic
306C2×C22⋊C4×C17C2311yescharacteristic
307C2×C22⋊C4×C17C2311yescharacteristic
308C2×C22⋊C4×C17C2311yescharacteristic
309C2×C42×C17C2311yescharacteristic
310C2×C42×C17C2311yescharacteristic
311C2×C42×C17C2311yescharacteristic
312C2×C22⋊Dic17C2311yescharacteristic
313C2×C22⋊Dic17C2311yescharacteristic
314C2×C22⋊Dic17C2311yescharacteristic
315C2×C22⋊Dic17C2311yescharacteristic
316C2×C22⋊Dic17C2311yescharacteristic
317C2×C22⋊Dic17C2311yescharacteristic
318C2×C22⋊Dic17C2311yescharacteristic
319C2×C22⋊Dic17C2311yescharacteristic
320C2×C22⋊Dic17C2311yescharacteristic
321C2×C22⋊Dic17C2311yescharacteristic
322#10587626C2318yes—
323#10587625C2318yes—
324#10587625C2318yes—
325#10587625C2318yes—
326#10587625C2318yes—
327#10587625C2318yes—
328#10587625C2318yes—
329#10587625C2318yes—
330#10587625C2318yes—
331#10587625C2318yes—
332#10587625C2318yes—
333#10587625C2318yes—
334#10587625C2318yes—
335#10587624C2318yes—
336#10587621C2318yes—
337#10587621C2318yes—
338D4×Dic17C2318yes—
339D4×Dic17C2318yes—
340D4×Dic17C2318yes—
341D4×Dic17C2318yes—
342D4×Dic17C2318yes—
343#10587616C2318yes—
344#10587616C2318yes—
345#10587616C2318yes—
346#10587616C2318yes—
347#10587615C2318yes—
348#10587615C2318yes—
349C4×C22⋊D17C2318yes—
350C4×C22⋊D17C2318yes—
351C4×C22⋊D17C2318yes—
352C4×C22⋊D17C2318yes—
353C4×C22⋊D17C2318yes—
354C4×C22⋊D17C2318yes—
355C4×C22⋊D17C2318yes—
356C4×C22⋊D17C2318yes—
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
373C2×#63227C2311yescharacteristic
374C2×#63227C2311yescharacteristic
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×#63225C2318yes—
388C2×#63225C2318yes—
389C2×#63225C2318yes—
390C2×#63225C2318yes—
391C2×#63225C2311yescharacteristic
392C2×#63225C2311yescharacteristic
393C2×#63225C2311yescharacteristic
394C2×#63225C2311yescharacteristic
395C2×#63225C2311yescharacteristic
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×#63225C2318yes—
410C2×#63225C2318yes—
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×C4×Dic17C2311yescharacteristic
424C2×C4×Dic17C2311yescharacteristic
425C2×C4×Dic17C2311yescharacteristic
426C2×C4×Dic17C2311yescharacteristic
427C2×C4×Dic17C2311yescharacteristic
428C2×C4×Dic17C2311yescharacteristic
429C2×C4×Dic17C2311yescharacteristic
430C2×C4×Dic17C2311yescharacteristic
431C2×C4×Dic17C2311yescharacteristic
432C2×C4×Dic17C2318yes—
433C2×C4×Dic17C2318yes—
434C2×C4×Dic17C2311yescharacteristic
435C2×C4×Dic17C2311yescharacteristic
436C2×C4×Dic17C2311yescharacteristic
437C2×C4×Dic17C2311yescharacteristic
438C2×C4×Dic17C2311yescharacteristic
439C2×C4×Dic17C2311yescharacteristic
440#10587584C2318yes—
441#10587584C2318yes—
442#10587584C2318yes—
443#10587584C2318yes—
444#10587584C2318yes—
445#10587584C2318yes—
446#10587582C2318yes—
447#10587582C2318yes—
448#10587582C2318yes—
449#10587582C2318yes—
450#10587581C2318yes—
451#10587580C2318yes—
452#10587580C2318yes—
453#10587580C2318yes—
454#10587580C2318yes—
455#10587579C2318yes—
456#10587579C2318yes—
457#10587578C2318yes—
458#10587578C2318yes—
459#10587578C2318yes—
460C4⋊C4×D17C2318yes—
461C4⋊C4×D17C2318yes—
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#10587574C2318yes—
477#10587573C2318yes—
478#10587573C2318yes—
479#10587573C2318yes—
480#10587572C2318yes—
481#10587572C2318yes—
482#10587571C2318yes—
483#10587571C2318yes—
484#10587570C2318yes—
485#10587570C2318yes—
486#10587570C2318yes—
487#10587570C2318yes—
488#10587570C2318yes—
489#10587570C2318yes—
490#10587569C2318yes—
491#10587569C2318yes—
492#10587569C2318yes—
493#10587569C2318yes—
494#10587567C2318yes—
495#10587567C2318yes—
496#10587567C2318yes—
497#10587567C2318yes—
498#10587567C2318yes—
499#10587567C2318yes—
500#10587567C2318yes—
501#10587567C2318yes—
502#10587567C2318yes—
503#10587567C2318yes—
504#10587565C2318yes—
505#10587565C2318yes—
506#10587565C2318yes—
507#10587565C2318yes—
508#10587565C2318yes—
509#10587565C2318yes—
510#10587564C2318yes—
511#10587564C2318yes—
512#10587564C2318yes—
513#10587564C2318yes—
514#10587563C2318yes—
515#10587563C2318yes—
516#10587563C2318yes—
517#10587563C2318yes—
518#10587563C2318yes—
519#10587563C2318yes—
520#10587562C2318yes—
521#10587562C2318yes—
522C4×D68C2318yes—
523#10587558C2318yes—
524#10587558C2318yes—
525#10587558C2318yes—
526#10587558C2318yes—
527C42×D17C2318yes—
528#10587556C2318yes—
529C4×Dic34C2318yes—
530C4×Dic34C2318yes—
531C4×Dic34C2318yes—
532C24×C17C2411yescharacteristic
533C24×C17C2411yescharacteristic
534C24×C17C2411yescharacteristic
535C24×C17C2411yescharacteristic
536C23×D17C2411yescharacteristic
537C23×D17C2411yescharacteristic
538C23×D17C2411yescharacteristic
539C2×D4×C17—24no—
540C2×D4×C17—24no—
541C2×D4×C17—24no—
542C2×D4×C17—42no—
543C2×D4×C17—42no—
544C2×D4×C17—42no—
545C2×D4×C17C2414yes—
546C2×D4×C17C2414yes—
547C2×D4×C17C2414yes—
548C2×D4×C17C2414yes—
549C2×D4×C17C2414yes—
550C2×D4×C17C2414yes—
551C22×C4×C17—42no—
552C22×C4×C17—42no—
553C22×C4×C17—42no—
554C22×C4×C17—42no—
555C22×C4×C17—42no—
556C22×C4×C17—42no—
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×C17C2411yescharacteristic
566C22×C4×C17C2411yescharacteristic
567C22×C4×C17C2411yescharacteristic
568C22×C4×C17C2414yes—
569C22×C4×C17C2414yes—
570C22×C4×C17C2414yes—
571C22×C4×C17C2414yes—
572C22×C4×C17C2414yes—
573C22×C4×C17C2414yes—
574C2×C22⋊D17—24no—
575C2×C22⋊D17—24no—
576C2×C22⋊D17—24no—
577C2×C22⋊D17—24no—
578C2×C22⋊D17—24no—
579C2×C22⋊D17—24no—
580C2×C22⋊D17—42no—
581C2×C22⋊D17—42no—
582C2×C22⋊D17—42no—
583C2×C22⋊D17—42no—
584C2×C22⋊D17—42no—
585C2×C22⋊D17—42no—
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—
595C2×C22⋊D17C2414yes—
596C2×C22⋊D17C2414yes—
597C2×C22⋊D17C2414yes—
598C22×Dic17—24no—
599C22×Dic17—24no—
600C22×Dic17—24no—
601C22×Dic17—42no—
602C22×Dic17—42no—
603C22×Dic17—42no—
604C22×Dic17—42no—
605C22×Dic17—42no—
606C22×Dic17—42no—
607C22×Dic17#4118yes—
608C22×Dic17C2411yescharacteristic
609C22×Dic17C2411yescharacteristic
610C22×Dic17C2411yescharacteristic
611C22×Dic17C2411yescharacteristic
612C22×Dic17C2411yescharacteristic
613C22×Dic17C2411yescharacteristic
614C22×Dic17C2411yescharacteristic
615C22×Dic17C2411yescharacteristic
616C22×Dic17C2414yes—
617C22×Dic17C2414yes—
618C22×Dic17C2414yes—
619C22×Dic17C2411yescharacteristic
620C22×Dic17C2411yescharacteristic
621C22×Dic17C2411yescharacteristic
622C22×Dic17C2414yes—
623C22×Dic17C2414yes—
624C22×Dic17C2414yes—
625C22×Dic17C2414yes—
626C22×Dic17C2414yes—
627C22×Dic17C2414yes—
628C22×Dic17C2411yescharacteristic
629C22×Dic17C2411yescharacteristic
630C22×Dic17C2414yes—
631#63254—232no—
632#63254—232no—
633#63254—232no—
634C2×D68—42no—
635C2×D68—42no—
636C2×D68—42no—
637C2×D68C2414yes—
638C2×D68C2414yes—
639C2×D68C2414yes—
640C2×C4×D17—24no—
641C2×C4×D17—24no—
642C2×C4×D17—24no—
643C2×C4×D17—42no—
644C2×C4×D17—42no—
645C2×C4×D17—42no—
646C2×C4×D17—42no—
647C2×C4×D17—42no—
648C2×C4×D17—42no—
649C2×C4×D17C2414yes—
650C2×C4×D17C2414yes—
651C2×C4×D17C2414yes—
652C2×C4×D17C2414yes—
653C2×C4×D17C2414yes—
654C2×C4×D17C2414yes—
655C2×C4×D17C2414yes—
656C2×C4×D17C2414yes—
657C2×C4×D17C2414yes—
658C2×Dic34—24no—
659C2×Dic34—24no—
660C2×Dic34—24no—
661C2×Dic34C2414yes—
662C2×Dic34C2414yes—
663C2×Dic34C2414yes—
664C4⋊C4×C17C2414yes—
665C4⋊C4×C17C2414yes—
666C4⋊C4×C17C2414yes—
667C4⋊C4×C17C2414yes—
668C4⋊C4×C17C2414yes—
669C4⋊C4×C17C2414yes—
670C4⋊C4×C17C2414yes—
671C4⋊C4×C17C2414yes—
672C4⋊C4×C17C2414yes—
673C4⋊C4×C17C2414yes—
674C22⋊C4×C17C2414yes—
675C22⋊C4×C17C2414yes—
676C22⋊C4×C17C2414yes—
677C22⋊C4×C17C2414yes—
678C22⋊C4×C17C2414yes—
679C22⋊C4×C17C2414yes—
680C22⋊C4×C17C2414yes—
681C22⋊C4×C17C2414yes—
682C22⋊C4×C17C2414yes—
683C22⋊C4×C17C2414yes—
684C42×C17C2414yes—
685C42×C17C2414yes—
686C42×C17C2414yes—
687C22⋊Dic17C2414yes—
688C22⋊Dic17C2414yes—
689C22⋊Dic17C2414yes—
690C22⋊Dic17C2414yes—
691C22⋊Dic17C2414yes—
692C22⋊Dic17C2414yes—
693C22⋊Dic17C2414yes—
694C22⋊Dic17C2414yes—
695C22⋊Dic17C2414yes—
696C22⋊Dic17C2414yes—
697#63227C2414yes—
698#63227C2414yes—
699#63227C2414yes—
700#63227C2414yes—
701#63227C2414yes—
702#63227C2414yes—
703#63227C2414yes—
704#63227C2414yes—
705#63227C2414yes—
706#63227C2414yes—
707#63227C2414yes—
708#63227C2414yes—
709#63227C2414yes—
710#63227C2414yes—
711#63227C2414yes—
712#63227C2414yes—
713#63227C2414yes—
714#63227C2414yes—
715C4⋊Dic17C2414yes—
716C4⋊Dic17C2414yes—
717C4⋊Dic17C2414yes—
718C4⋊Dic17C2414yes—
719C4⋊Dic17C2414yes—
720C4⋊Dic17C2414yes—
721C4⋊Dic17C2414yes—
722C4⋊Dic17C2414yes—
723C4⋊Dic17C2414yes—
724C4⋊Dic17C2414yes—
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—
749#63225C2414yes—
750#63225C2414yes—
751#63225C2414yes—
752#63225C2414yes—
753#63225C2414yes—
754#63225C2414yes—
755C4×Dic17C2414yes—
756C4×Dic17C2414yes—
757C4×Dic17C2414yes—
758C4×Dic17C2414yes—
759C4×Dic17C2414yes—
760C4×Dic17C2414yes—
761C4×Dic17C2414yes—
762C4×Dic17C2414yes—
763C4×Dic17C2414yes—
764C4×Dic17C2414yes—
765C4×Dic17C2414yes—
766C4×Dic17C2414yes—
767C4×Dic17C2414yes—
768C4×Dic17C2414yes—
769C4×Dic17C2414yes—
770C2×#3512—171nomaximal, Sylow
771C23×C17—22no—
772C23×C17—22no—
773C23×C17—22no—
774C23×C17—22no—
775C23×C17—22no—
776C23×C17—22no—
777C23×C17—22no—
778C23×C17—22no—
779C23×C17—22no—
780C23×C17—22no—
781C23×C17—22no—
782C23×C17C2×#4114yes—
783C23×C17C2512yes—
784C23×C17C2512yes—
785C23×C17C2512yes—
786C23×C17C2512yes—
787C23×C17C2511yescharacteristic
788C22×D17—22no—
789C22×D17—22no—
790C22×D17—22no—
791C22×D17—22no—
792C22×D17—22no—
793C22×D17—22no—
794C22×D17—22no—
795C22×D17—22no—
796C22×D17—22no—
797C22×D17C2512yes—
798C22×D17C2512yes—
799C22×D17C2512yes—
800D4×C17—28no—
801D4×C17—28no—
802D4×C17—28no—
803D4×C17—44no—
804D4×C17—44no—
805D4×C17—44no—
806C2×C4×C17—22no—
807C2×C4×C17—22no—
808C2×C4×C17—22no—
809C2×C4×C17—22no—
810C2×C4×C17—22no—
811C2×C4×C17—22no—
812C2×C4×C17—22no—
813C2×C4×C17—22no—
814C2×C4×C17—22no—
815C2×C4×C17—22no—
816C2×C4×C17—22no—
817C2×C4×C17—44no—
818C2×C4×C17—44no—
819C2×C4×C17—44no—
820C2×C4×C17—44no—
821C2×C4×C17—44no—
822C2×C4×C17—44no—
823C2×C4×C17C2512yes—
824C2×C4×C17C2512yes—
825C2×C4×C17C2512yes—
826C2×C4×C17C2512yes—
827C2×C4×C17C2512yes—
828C2×C4×C17C2512yes—
829C2×C4×C17C2512yes—
830C2×C4×C17C2512yes—
831C2×C4×C17C2512yes—
832C2×C4×C17C2512yes—
833C2×C4×C17C2512yes—
834C22⋊D17—28no—
835C22⋊D17—28no—
836C22⋊D17—28no—
837C22⋊D17—28no—
838C22⋊D17—28no—
839C22⋊D17—28no—
840C22⋊D17—44no—
841C22⋊D17—44no—
842C22⋊D17—44no—
843C22⋊D17—44no—
844C22⋊D17—44no—
845C22⋊D17—44no—
846C2×Dic17—22no—
847C2×Dic17—22no—
848C2×Dic17—22no—
849C2×Dic17—22no—
850C2×Dic17—22no—
851C2×Dic17—22no—
852C2×Dic17—22no—
853C2×Dic17—22no—
854C2×Dic17—22no—
855C2×Dic17—22no—
856C2×Dic17—22no—
857C2×Dic17—28no—
858C2×Dic17—28no—
859C2×Dic17—28no—
860C2×Dic17—44no—
861C2×Dic17—44no—
862C2×Dic17—44no—
863C2×Dic17—44no—
864C2×Dic17—44no—
865C2×Dic17—44no—
866C2×Dic17C2×#4114yes—
867C2×Dic17C2×#4114yes—
868C2×Dic17C2×#41116yes—
869C2×Dic17C2512yes—
870C2×Dic17C2512yes—
871C2×Dic17C2512yes—
872C2×Dic17C2512yes—
873C2×Dic17C2512yes—
874C2×Dic17C2512yes—
875C2×Dic17C2512yes—
876C2×Dic17C2512yes—
877C2×Dic17C2512yes—
878C2×Dic17C2512yes—
879C2×Dic17C2512yes—
880C2×Dic17C2512yes—
881C2×Dic17C2512yes—
882D68—44no—
883D68—44no—
884D68—44no—
885C4×D17—28no—
886C4×D17—28no—
887C4×D17—28no—
888C4×D17—44no—
889C4×D17—44no—
890C4×D17—44no—
891C4×D17—44no—
892C4×D17—44no—
893C4×D17—44no—
894Dic34—28no—
895Dic34—28no—
896Dic34—28no—
897#3512—1732no—
898C2×#553—171no—
899C2×#553—171no—
900C2×#553—171no—
901C2×#553—171no—
902C2×#553—171no—
903C2×#553—171no—
904C2×#553—171no—
905C2×#553—171no—
906C2×#553—171no—
907C2×#553—171no—
908C2×#553—171no—
909C2×#553D1711yescharacteristic, complemented
910C2×#552—171no—
911C2×#552—171no—
912C2×#552—171no—
913C2×#552—171no—
914C2×#541—171no—
915C2×#541—171no—
916C2×#540—171no—
917C2×#540—171no—
918C2×#537—171no—
919C2×#537—171no—
920C2×#532—171no—
921C2×#529—171no—
922C2×#529—171no—
923C2×#529—171no—
924C2×#529—171no—
925C22×#125—171no—
926C2×#520—171no—
927C2×#520—171no—
928C2×C4×#41—171no—
929C22×C17—22no—
930C22×C17—22no—
931C22×C17—28no—
932C22×C17—22no—
933C22×C17—22no—
934C22×C17—22no—
935C22×C17—22no—
936C22×C17—22no—
937C22×C17—22no—
938C22×C17—22no—
939C22×C17—22no—
940C22×C17—22no—
941C22×C17—44no—
942C22×C17—44no—
943C22×C17—44no—
944C22×C17C22×#4114yes—
945C22×C17C22×#4112yes—
946C22×C17#58512yes—
947C22×C17#58512yes—
948C22×C17C2611yescharacteristic
949C2×D17—22no—
950C2×D17—22no—
951C2×D17—22no—
952C2×D17—22no—
953C2×D17—22no—
954C2×D17—22no—
955C2×D17—22no—
956C2×D17—22no—
957C2×D17—22no—
958C2×D17—44no—
959C2×D17—44no—
960C2×D17—44no—
961C4×C17—22no—
962C4×C17—22no—
963C4×C17—22no—
964C4×C17—22no—
965C4×C17—22no—
966C4×C17—22no—
967C4×C17—22no—
968C4×C17—22no—
969C4×C17—22no—
970C4×C17—22no—
971C4×C17—22no—
972Dic17—22no—
973Dic17—22no—
974Dic17—22no—
975Dic17—22no—
976Dic17—22no—
977Dic17—22no—
978Dic17—22no—
979Dic17—22no—
980Dic17—22no—
981Dic17—22no—
982Dic17—22no—
983Dic17C22×#4114yes—
984Dic17C22×#4114yes—
985C22×#41—171no—
986C22×#41—171no—
987C22×#41—171no—
988#553—1716no—
989#553—1716no—
990#553—1716no—
991#553—1716no—
992#553—1716no—
993#553—1716no—
994#553—1716no—
995#553—1716no—
996#553—1716no—
997#553—1716no—
998#553—1716no—
999#553C2×D17116yescomplemented
1000#552—1716no—
1001#552—1716no—
1002#552—1716no—
1003#552—1716no—
1004#541—1716no—
1005#541—1716no—
1006#540—1716no—
1007#540—1716no—
1008#537—1716no—
1009#537—1716no—
1010#532—1716no—
1011C2×C4⋊Q8—171no—
1012C2×#127—171no—
1013#529—1716no—
1014#529—1716no—
1015#529—1716no—
1016#529—1716no—
1017C2×#126—171no—
1018C2×#126—171no—
1019C2×#126—171no—
1020C2×#126—171no—
1021C2×#126—171no—
1022C2×#126—171no—
1023C2×#126—171no—
1024C2×#126—171no—
1025C2×#126—171no—
1026C2×#126—171no—
1027C2×#126—171no—
1028C2×#126—171no—
1029C2×#126—171no—
1030C2×#126—171no—
1031C2×#126C2×D1711yescharacteristic
1032C2×#126C2×D1711yescharacteristic
1033C2×#125—171no—
1034C2×#125—171no—
1035C2×#125—171no—
1036C2×#125—171no—
1037C2×#125—171no—
1038C2×#125—171no—
1039C2×#125—171no—
1040C2×#125—171no—
1041C2×#125—1716no—
1042C2×#125—171no—
1043C2×#125—171no—
1044C2×#125—171no—
1045C2×#125—171no—
1046C2×#125—171no—
1047C2×#125—171no—
1048C2×#125—171no—
1049C2×#125C2×D1711yescharacteristic
1050C2×#124—171no—
1051C2×#124—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×#123C2×D1711yescharacteristic
1067C2×#123C2×D1711yescharacteristic
1068C2×C22⋊Q8—171no—
1069C2×C22⋊Q8—171no—
1070C2×C22⋊Q8—171no—
1071C2×C22⋊Q8—171no—
1072C2×C22⋊Q8—171no—
1073C2×C22⋊Q8—171no—
1074C2×C22⋊Q8—171no—
1075C2×C22⋊Q8—171no—
1076C2×#121—171no—
1077C2×#121—171no—
1078C2×#121—171no—
1079C2×#121—171no—
1080C2×#121—171no—
1081C2×#121—171no—
1082C2×#121—171no—
1083C2×#121—171no—
1084C2×#121—171no—
1085C2×#121—171no—
1086C2×#121—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×#121C2×D1711yescharacteristic
1101C2×#121C2×D1711yescharacteristic
1102C2×#121C2×D1711yescharacteristic
1103C2×#121C2×D1711yescharacteristic
1104#520—1716no—
1105#520—1716no—
1106C4×#41—1716no—
1107C2×C4×Q8—171no—
1108C2×C4×Q8—171no—
1109C2×C4×Q8—171no—
1110C2×C4×Q8—171no—
1111C2×C4×Q8—171no—
1112C2×C4×Q8—171no—
1113C2×C4×D4—171no—
1114C2×C4×D4—171no—
1115C2×C4×D4—171no—
1116C2×C4×D4—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×D4—171no—
1135C2×C4×D4—171no—
1136C2×C4×D4—171no—
1137C2×C4×D4—171no—
1138C2×C4×D4—171no—
1139C2×C4×D4C2×D1711yescharacteristic
1140C2×C4×D4C2×D1711yescharacteristic
1141C2×C4×D4C2×D1711yescharacteristic
1142C2×C4×D4C2×D1711yescharacteristic
1143C2×#117—171no—
1144C2×#117—171no—
1145C2×#117—171no—
1146C2×#117—171no—
1147C2×#117—171no—
1148C2×#117—171no—
1149C2×#117—171no—
1150C2×#117—171no—
1151C2×#117—171no—
1152C2×#117—171no—
1153C2×#117—171no—
1154C2×#117—171no—
1155C2×#117—171no—
1156C2×#117—171no—
1157C2×#117C2×D1711yescharacteristic
1158C22×C4⋊C4—171no—
1159C22×C4⋊C4—171no—
1160C22×C4⋊C4—171no—
1161C22×C4⋊C4—171no—
1162C22×C4⋊C4—171no—
1163C22×C4⋊C4—171no—
1164C22×C4⋊C4—171no—
1165C22×C4⋊C4—171no—
1166C22×C4⋊C4—171no—
1167C22×C4⋊C4C2×D1711yescharacteristic
1168C22×C42—171no—
1169C22×C42—171no—
1170C22×C42—171no—
1171C2×C17—24no—
1172C2×C17—42no—
1173C2×C17—42no—
1174C2×C17—42no—
1175C2×C17#351214yescomplemented
1176C2×C17C23×#4111yescharacteristic
1177C2×C17C2×#58511yescharacteristic
1178C2×C17C2×#58511yescharacteristic
1179D17—42no—
1180D17—42no—
1181D17—42no—
1182C2×#41—178no—
1183C2×#41—178no—
1184C2×#41—178no—
1185C2×#41—348no—
1186C2×#41—348no—
1187C2×#41—348no—
1188C22×Q8—171no—
1189C22×Q8—171no—
1190C22×Q8—171no—
1191C22×D4—171no—
1192C22×D4—171no—
1193C22×D4—171no—
1194C22×D4—171no—
1195C22×D4—171no—
1196C22×D4—171no—
1197C22×D4—171no—
1198C22×D4—171no—
1199C22×D4—171no—
1200C22×D4—171no—
1201C22×D4—171no—
1202C22×D4—171no—
1203C22×D4—171no—
1204C22×D4—171no—
1205C22×D4—171no—
1206C22×D4C22×D1711yescharacteristic
1207C22×D4C22×D1711yescharacteristic
1208C22×D4C22×D1711yescharacteristic
1209C22×D4C22×D1711yescharacteristic
1210C22×D4C22×D1711yescharacteristic
1211C22×D4C22×D1711yescharacteristic
1212C23×C4—171no—
1213C23×C4—171no—
1214C23×C4—171no—
1215C23×C4—171no—
1216C23×C4—171no—
1217C23×C4—171no—
1218C23×C4—171no—
1219C23×C4—171no—
1220C23×C4—171no—
1221C23×C4—171no—
1222C23×C4—171no—
1223C23×C4—171no—
1224C23×C4—171no—
1225C23×C4—171no—
1226C23×C4—171no—
1227C23×C4—171no—
1228C23×C4—171no—
1229C23×C4—171no—
1230C23×C4—171no—
1231C23×C4C22×D1711yescharacteristic
1232C23×C4C22×D1711yescharacteristic
1233C23×C4C22×D1711yescharacteristic
1234C23×C4C22×D1711yescharacteristic
1235C23×C4C22×D1711yescharacteristic
1236C23×C4C22×D1711yescharacteristic
1237C4⋊Q8—178no—
1238#127—178no—
1239#126—178no—
1240#126—178no—
1241#126—178no—
1242#126—178no—
1243#126—178no—
1244#126—178no—
1245#126—178no—
1246#126—178no—
1247#126—178no—
1248#126—178no—
1249#126—178no—
1250#126—178no—
1251#126—178no—
1252#126—178no—
1253#126C22×D1718yes—
1254#126C22×D1718yes—
1255#125—178no—
1256#125—178no—
1257#125—178no—
1258#125—178no—
1259#125—178no—
1260#125—178no—
1261#125—178no—
1262#125—178no—
1263#125—178no—
1264#125—178no—
1265#125—178no—
1266#125—178no—
1267#125—178no—
1268#125—178no—
1269#125—178no—
1270#125C22×D1718yes—
1271#124—178no—
1272#124—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#123—178no—
1282#123—178no—
1283#123—178no—
1284#123—178no—
1285#123—178no—
1286#123—178no—
1287#123C22×D1718yes—
1288#123C22×D1718yes—
1289C22⋊Q8—178no—
1290C22⋊Q8—178no—
1291C22⋊Q8—178no—
1292C22⋊Q8—178no—
1293C22⋊Q8—178no—
1294C22⋊Q8—178no—
1295C22⋊Q8—178no—
1296C22⋊Q8—178no—
1297#121—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×Q8—178no—
1329C4×Q8—178no—
1330C4×Q8—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×D4—178no—
1346C4×D4—178no—
1347C4×D4—178no—
1348C4×D4—178no—
1349C4×D4—178no—
1350C4×D4—178no—
1351C4×D4—178no—
1352C4×D4—178no—
1353C4×D4—178no—
1354C4×D4—178no—
1355C4×D4—178no—
1356C4×D4—178no—
1357C4×D4C22×D1718yes—
1358C4×D4C22×D1718yes—
1359C4×D4C22×D1718yes—
1360C4×D4C22×D1718yes—
1361#117—178no—
1362#117—178no—
1363#117—178no—
1364#117—178no—
1365#117—178no—
1366#117—178no—
1367#117—178no—
1368#117—178no—
1369#117—178no—
1370#117—178no—
1371#117—178no—
1372#117—178no—
1373#117—178no—
1374#117—178no—
1375#117C22×D1718yes—
1376C2×C4⋊C4—171no—
1377C2×C4⋊C4—171no—
1378C2×C4⋊C4—171no—
1379C2×C4⋊C4—171no—
1380C2×C4⋊C4—171no—
1381C2×C4⋊C4—171no—
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—178no—
1399C2×C4⋊C4—178no—
1400C2×C4⋊C4—178no—
1401C2×C4⋊C4—178no—
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⋊C4—178no—
1411C2×C4⋊C4—171no—
1412C2×C4⋊C4—171no—
1413C2×C4⋊C4—171no—
1414C2×C4⋊C4—171no—
1415C2×C4⋊C4—171no—
1416C2×C4⋊C4—171no—
1417C2×C4⋊C4—171no—
1418C2×C4⋊C4—171no—
1419C2×C4⋊C4—171no—
1420C2×C4⋊C4—171no—
1421C2×C4⋊C4—171no—
1422C2×C4⋊C4—171no—
1423C2×C4⋊C4—178no—
1424C2×C4⋊C4—178no—
1425C2×C4⋊C4C22×D1711yescharacteristic
1426C2×C4⋊C4C22×D1711yescharacteristic
1427C2×C4⋊C4C22×D1711yescharacteristic
1428C2×C4⋊C4C22×D1711yescharacteristic
1429C2×C4⋊C4C22×D1711yescharacteristic
1430C2×C4⋊C4C22×D1711yescharacteristic
1431C2×C4⋊C4C22×D1718yes—
1432C2×C4⋊C4C22×D1711yescharacteristic
1433C2×C4⋊C4C22×D1711yescharacteristic
1434C2×C4⋊C4C22×D1711yescharacteristic
1435C2×C4⋊C4C22×D1711yescharacteristic
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⋊C4—171no—
1454C2×C22⋊C4—171no—
1455C2×C22⋊C4—171no—
1456C2×C22⋊C4—171no—
1457C2×C22⋊C4—171no—
1458C2×C22⋊C4—171no—
1459C2×C22⋊C4—171no—
1460C2×C22⋊C4—171no—
1461C2×C22⋊C4—171no—
1462C2×C22⋊C4—171no—
1463C2×C22⋊C4—171no—
1464C2×C22⋊C4C22×D1711yescharacteristic
1465C2×C22⋊C4C22×D1711yescharacteristic
1466C2×C22⋊C4C22×D1711yescharacteristic
1467C2×C22⋊C4C22×D1711yescharacteristic
1468C2×C22⋊C4C22×D1711yescharacteristic
1469C2×C22⋊C4C22×D1711yescharacteristic
1470C2×C22⋊C4C22×D1711yescharacteristic
1471C2×C22⋊C4C22×D1711yescharacteristic
1472C2×C22⋊C4C22×D1711yescharacteristic
1473C2×C22⋊C4C22×D1711yescharacteristic
1474C2×C42—171no—
1475C2×C42—171no—
1476C2×C42—171no—
1477C2×C42—171no—
1478C2×C42—171no—
1479C2×C42—171no—
1480C2×C42—171no—
1481C2×C42—171no—
1482C2×C42—171no—
1483C2×C42—171no—
1484C2×C42—171no—
1485C2×C42—171no—
1486C2×C42—171no—
1487C2×C42—171no—
1488C2×C42—178no—
1489C2×C42—178no—
1490C2×C42—171no—
1491C2×C42—178no—
1492C2×C42C22×D1711yescharacteristic
1493C2×C42C22×D1711yescharacteristic
1494C2×C42C22×D1711yescharacteristic
1495C17C2×#351211yescharacteristic, complemented, Sylow
1496C24—171no—
1497C24—171no—
1498C24—171no—
1499C24C23×D1711yescharacteristic
1500C24C23×D1711yescharacteristic
1501C24C23×D1711yescharacteristic
1502C24C23×D1711yescharacteristic
1503#41—3432no—
1504#41—3432no—
1505#41—3432no—
1506C2×Q8—174no—
1507C2×Q8—174no—
1508C2×Q8—174no—
1509C2×Q8—344no—
1510C2×Q8—344no—
1511C2×Q8—344no—
1512C2×D4—24no—
1513C2×D4—24no—
1514C2×D4—24no—
1515C2×D4—42no—
1516C2×D4—42no—
1517C2×D4—42no—
1518C2×D4—174no—
1519C2×D4—174no—
1520C2×D4—174no—
1521C2×D4—174no—
1522C2×D4—174no—
1523C2×D4—174no—
1524C2×D4—174no—
1525C2×D4—174no—
1526C2×D4—174no—
1527C2×D4—174no—
1528C2×D4—174no—
1529C2×D4—174no—
1530C2×D4—174no—
1531C2×D4—174no—
1532C2×D4—174no—
1533C2×D4—344no—
1534C2×D4—344no—
1535C2×D4—344no—
1536C2×D4—344no—
1537C2×D4—344no—
1538C2×D4—344no—
1539C2×D4—682no—
1540C2×D4—682no—
1541C2×D4—682no—
1542C2×D4—682no—
1543C2×D4—682no—
1544C2×D4—682no—
1545C2×D4—682no—
1546C2×D4—682no—
1547C2×D4—682no—
1548C2×D4C23×D1714yes—
1549C2×D4C23×D1714yes—
1550C2×D4C23×D1714yes—
1551C2×D4C23×D1714yes—
1552C2×D4C23×D1714yes—
1553C2×D4C23×D1714yes—
1554C22×C4—42no—
1555C22×C4—42no—
1556C22×C4—42no—
1557C22×C4—42no—
1558C22×C4—42no—
1559C22×C4—42no—
1560C22×C4—178no—
1561C22×C4—174no—
1562C22×C4—171no—
1563C22×C4—171no—
1564C22×C4—174no—
1565C22×C4—174no—
1566C22×C4—174no—
1567C22×C4—171no—
1568C22×C4—171no—
1569C22×C4—171no—
1570C22×C4—171no—
1571C22×C4—171no—
1572C22×C4—171no—
1573C22×C4—171no—
1574C22×C4—171no—
1575C22×C4—171no—
1576C22×C4—171no—
1577C22×C4—171no—
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—344no—
1594C22×C4—344no—
1595C22×C4—344no—
1596C22×C4—344no—
1597C22×C4—344no—
1598C22×C4—344no—
1599C22×C4—682no—
1600C22×C4—682no—
1601C22×C4—682no—
1602C22×C4—682no—
1603C22×C4—682no—
1604C22×C4—682no—
1605C22×C4—682no—
1606C22×C4—682no—
1607C22×C4—682no—
1608C22×C4—682no—
1609C22×C4—682no—
1610C22×C4—682no—
1611C22×C4C23×D1711yescharacteristic
1612C22×C4C23×D1711yescharacteristic
1613C22×C4C23×D1711yescharacteristic
1614C22×C4C23×D1711yescharacteristic
1615C22×C4C23×D1711yescharacteristic
1616C22×C4C23×D1711yescharacteristic
1617C22×C4C23×D1711yescharacteristic
1618C22×C4C23×D1711yescharacteristic
1619C22×C4C23×D1711yescharacteristic
1620C22×C4C23×D1711yescharacteristic
1621C22×C4C23×D1711yescharacteristic
1622C22×C4C23×D1714yes—
1623C22×C4C23×D1714yes—
1624C22×C4C23×D1714yes—
1625C22×C4C23×D1714yes—
1626C22×C4C23×D1714yes—
1627C22×C4C23×D1714yes—
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⋊C4—174no—
1645C4⋊C4—174no—
1646C4⋊C4—174no—
1647C4⋊C4—174no—
1648C4⋊C4—174no—
1649C4⋊C4—174no—
1650C4⋊C4—174no—
1651C4⋊C4—174no—
1652C4⋊C4—174no—
1653C4⋊C4—174no—
1654C4⋊C4—174no—
1655C4⋊C4—174no—
1656C4⋊C4—174no—
1657C4⋊C4—174no—
1658C4⋊C4—174no—
1659C4⋊C4—174no—
1660C4⋊C4—174no—
1661C4⋊C4—174no—
1662C4⋊C4—174no—
1663C4⋊C4—174no—
1664C4⋊C4—174no—
1665C4⋊C4—174no—
1666C4⋊C4—174no—
1667C4⋊C4—174no—
1668C4⋊C4C23×D1714yes—
1669C4⋊C4C23×D1714yes—
1670C4⋊C4C23×D1714yes—
1671C4⋊C4C23×D1714yes—
1672C4⋊C4C23×D1714yes—
1673C4⋊C4C23×D1714yes—
1674C4⋊C4C23×D1714yes—
1675C4⋊C4C23×D1714yes—
1676C4⋊C4C23×D1714yes—
1677C4⋊C4C23×D1714yes—
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⋊C4—174no—
1687C22⋊C4—174no—
1688C22⋊C4—174no—
1689C22⋊C4—174no—
1690C22⋊C4—174no—
1691C22⋊C4—174no—
1692C22⋊C4—174no—
1693C22⋊C4—174no—
1694C22⋊C4—174no—
1695C22⋊C4—174no—
1696C22⋊C4—174no—
1697C22⋊C4—174no—
1698C22⋊C4—174no—
1699C22⋊C4—174no—
1700C22⋊C4—174no—
1701C22⋊C4—174no—
1702C22⋊C4—174no—
1703C22⋊C4—174no—
1704C22⋊C4—174no—
1705C22⋊C4—174no—
1706C22⋊C4C23×D1714yes—
1707C22⋊C4C23×D1714yes—
1708C22⋊C4C23×D1714yes—
1709C22⋊C4C23×D1714yes—
1710C22⋊C4C23×D1714yes—
1711C22⋊C4C23×D1714yes—
1712C22⋊C4C23×D1714yes—
1713C22⋊C4C23×D1714yes—
1714C22⋊C4C23×D1714yes—
1715C22⋊C4C23×D1714yes—
1716C42—174no—
1717C42—174no—
1718C42—174no—
1719C42—174no—
1720C42—174no—
1721C42—174no—
1722C42—174no—
1723C42—174no—
1724C42—174no—
1725C42—174no—
1726C42—174no—
1727C42—174no—
1728C42—174no—
1729C42—174no—
1730C42—174no—
1731C42C23×D1714yes—
1732C42C23×D1714yes—
1733C42C23×D1714yes—
1734C23—22no—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—172no—
1746C23—172no—
1747C23—172no—
1748C23—342no—
1749C23—342no—
1750C23—342no—
1751C23—342no—
1752C23—342no—
1753C23—342no—
1754C23—342no—
1755C23—342no—
1756C23—342no—
1757C23#41×D1714yes—
1758C23C24×D1712yes—
1759C23C24×D1712yes—
1760C23C24×D1712yes—
1761C23C24×D1712yes—
1762C23C24×D1711yescharacteristic
1763Q8—348no—
1764Q8—348no—
1765Q8—348no—
1766D4—28no—
1767D4—28no—
1768D4—28no—
1769D4—44no—
1770D4—44no—
1771D4—44no—
1772D4—348no—
1773D4—348no—
1774D4—348no—
1775D4—348no—
1776D4—348no—
1777D4—348no—
1778D4—684no—
1779D4—684no—
1780D4—684no—
1781D4—684no—
1782D4—684no—
1783D4—684no—
1784D4—684no—
1785D4—684no—
1786D4—684no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—44no—
1799C2×C4—44no—
1800C2×C4—44no—
1801C2×C4—44no—
1802C2×C4—44no—
1803C2×C4—44no—
1804C2×C4—174no—
1805C2×C4—174no—
1806C2×C4—1716no—
1807C2×C4—172no—
1808C2×C4—172no—
1809C2×C4—172no—
1810C2×C4—172no—
1811C2×C4—172no—
1812C2×C4—172no—
1813C2×C4—172no—
1814C2×C4—172no—
1815C2×C4—172no—
1816C2×C4—172no—
1817C2×C4—172no—
1818C2×C4—172no—
1819C2×C4—172no—
1820C2×C4—348no—
1821C2×C4—348no—
1822C2×C4—348no—
1823C2×C4—348no—
1824C2×C4—348no—
1825C2×C4—348no—
1826C2×C4—342no—
1827C2×C4—342no—
1828C2×C4—342no—
1829C2×C4—342no—
1830C2×C4—342no—
1831C2×C4—342no—
1832C2×C4—342no—
1833C2×C4—342no—
1834C2×C4—342no—
1835C2×C4—342no—
1836C2×C4—342no—
1837C2×C4—684no—
1838C2×C4—684no—
1839C2×C4—684no—
1840C2×C4—684no—
1841C2×C4—684no—
1842C2×C4—684no—
1843C2×C4—684no—
1844C2×C4—684no—
1845C2×C4—684no—
1846C2×C4—684no—
1847C2×C4—684no—
1848C2×C4—684no—
1849C2×C4C24×D1712yes—
1850C2×C4C24×D1712yes—
1851C2×C4C24×D1712yes—
1852C2×C4C24×D1712yes—
1853C2×C4C24×D1712yes—
1854C2×C4C24×D1712yes—
1855C2×C4C24×D1712yes—
1856C2×C4C24×D1712yes—
1857C2×C4C24×D1712yes—
1858C2×C4C24×D1712yes—
1859C2×C4C24×D1712yes—
1860C22—28no—
1861C22—22no—
1862C22—22no—
1863C22—22no—
1864C22—22no—
1865C22—22no—
1866C22—22no—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—44no—
1873C22—44no—
1874C22—44no—
1875C22—342no—
1876C22—342no—
1877C22—342no—
1878C22—342no—
1879C22—342no—
1880C22—342no—
1881C22—342no—
1882C22—342no—
1883C22—342no—
1884C22—684no—
1885C22—684no—
1886C22—684no—
1887C22C2×#41×D1714yes—
1888C22C2×#41×D1712yes—
1889C22#1176364412yes—
1890C22#1176364512yes—
1891C22C25×D1711yescharacteristic
1892C4—22no—
1893C4—22no—
1894C4—22no—
1895C4—22no—
1896C4—22no—
1897C4—22no—
1898C4—22no—
1899C4—22no—
1900C4—22no—
1901C4—22no—
1902C4—22no—
1903C4—174no—
1904C4—174no—
1905C4—342no—
1906C4—342no—
1907C4—342no—
1908C4—342no—
1909C4—342no—
1910C4—342no—
1911C4—342no—
1912C4—342no—
1913C4—342no—
1914C4—342no—
1915C4—342no—
1916C2—24no—
1917C2—42no—
1918C2—42no—
1919C2—42no—
1920C2—682no—
1921C2—682no—
1922C2—682no—
1923C2#1454270014yesdirect product factor
1924C2C22×#41×D1711yescharacteristic
1925C2C2×#1176364411yescharacteristic
1926C2C2×#1176364511yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#553C2
socleC23×C17C25
hypercenterC2×#553D17
hypocenterC17C2×#3512
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. #14542700C2direct (N × H)
2. C2×#11763511C2semidirect
3. C2×#11763510C2semidirect
4. C2×#11763508C2semidirect
5. C2×#11763508C2semidirect
6. C2×#11763508C2semidirect
7. C2×#11763507C2semidirect
8. C2×#11763505C2semidirect
9. C2×#11763504C2semidirect
10. C2×#11763502C2semidirect
11. C2×#11763502C2semidirect
12. C2×#11763502C2semidirect
13. C2×#11763496C2semidirect
14. C2×#11763495C2semidirect
15. C2×#11763492C2semidirect
16. C2×#11763491C2semidirect
17. C2×#11763418C2semidirect
18. C2×#11763416C2semidirect
19. C2×#11763411C2semidirect
20. C2×#11763409C2semidirect
21. C2×#11763386C2semidirect
22. C2×#11763386C2semidirect
23. C2×#11763354C2semidirect
24. C2×#11763342C2semidirect
25. C2×#11763339C2semidirect
26. C2×#11763337C2semidirect
27. C2×#11763336C2semidirect
28. C22×#10587575C2semidirect
29. C2×#11763288C2semidirect
30. C2×#11763288C2semidirect
31. C2×C4×#63254C2semidirect
32. C2×C17×#553C2semidirect
36. #11763511C22semidirect
37. #11763510C22semidirect
38. #11763508C22semidirect
39. #11763508C22semidirect
40. #11763508C22semidirect
41. #11763507C22semidirect
42. #11763505C22semidirect
43. #11763504C22semidirect
44. #11763502C22semidirect
45. #11763502C22semidirect
46. #11763502C22semidirect
47. #11763496C22semidirect
48. #11763495C22semidirect
49. #11763492C22semidirect
50. #11763491C22semidirect
51. #11763418C22semidirect
52. #11763416C22semidirect
53. #11763411C22semidirect
54. #11763409C22semidirect
55. #11763386C22semidirect
56. #11763386C22semidirect
57. #11763354C22semidirect
60. #11763342C22semidirect
61. #11763339C22semidirect
62. #11763337C22semidirect
63. #11763336C22semidirect
93. C2×#10587575C22semidirect
142. #11763288C22semidirect
143. #11763288C22semidirect
144. C4×#63254C22semidirect
203. C17×#553C22semidirect
909. C2×#553D17semidirect
999. #553C2×D17semidirect
1175. C2×C17#3512semidirect
1495. C17C2×#3512semidirect
1923. C2#14542700direct (N × H)

Maximal subgroups

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

subgroupindex
#145427002
C2×#117635112
C2×#117635102
C2×#117635082
C2×#117635072
C2×#117635052
C2×#117635042
C2×#117635022
C2×#117634962
C2×#117634952
C2×#117634922
C2×#117634912
C2×#117634182
C2×#117634162
C2×#117634112
C2×#117634092
C2×#117633862
C2×#117633542
C2×#117633422
C2×#117633392
C2×#117633372
C2×#117633362
C22×#105875752
C2×#117632882
C2×C4×#632542
C2×C17×#5532
C2×#351217