Finite Group Databasebeta

← C2×#14543217 #17941923

Subgroups — C2×#14543217 #17941923

Order 4352.

7086 conjugacy classes of subgroups.

The subgroup lattice has 1892 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543217C2132yesmaximal, direct product factor
2C2×#11763563C211yesmaximal, characteristic, complemented
3C2×#11763562C211yesmaximal, characteristic, complemented
4C2×#11763561C211yesmaximal, characteristic, complemented
5C2×#11763560C211yesmaximal, characteristic, complemented
6C2×#11763536C211yesmaximal, characteristic, complemented
7C2×#11763526C211yesmaximal, characteristic, complemented
8C2×#11763518C211yesmaximal, characteristic, complemented
9C2×#11763513C211yesmaximal, characteristic, complemented
10C2×#11763508C211yesmaximal, characteristic, complemented
11C2×#11763502C211yesmaximal, characteristic, complemented
12C2×D4×Dic34C211yesmaximal, characteristic, complemented
13C2×#11763472C211yesmaximal, characteristic, complemented
14C2×#11763472C211yesmaximal, characteristic, complemented
15C2×#11763468C211yesmaximal, characteristic, complemented
16C2×#11763465C211yesmaximal, characteristic, complemented
17C2×#11763457C211yesmaximal, characteristic, complemented
18C2×#11763439C211yesmaximal, characteristic, complemented
19C2×#11763438C211yesmaximal, characteristic, complemented
20C2×#11763427C211yesmaximal, characteristic, complemented
21C2×#11763425C211yesmaximal, characteristic, complemented
22C2×#11763418C211yesmaximal, characteristic, complemented
23C2×#11763416C211yesmaximal, characteristic, complemented
24C2×#11763406C211yesmaximal, characteristic, complemented
25C2×#11763403C211yesmaximal, characteristic, complemented
26C2×#11763403C211yesmaximal, characteristic, complemented
27C2×#11763382C211yesmaximal, characteristic, complemented
28C2×#11763381C211yesmaximal, characteristic, complemented
29C22×#10587574C211yesmaximal, characteristic, complemented
30C2×#11763336C211yesmaximal, characteristic, complemented
31C2×#11763336C211yesmaximal, characteristic, complemented
32C2×C17×#539C211yesmaximal, characteristic, complemented
33C22×#63252C2211yescharacteristic
34C22×#63254C2211yescharacteristic
35C23×Dic34C2211yescharacteristic
36C23×Dic34C2211yescharacteristic
37C23×Dic34C2211yescharacteristic
38C22×Q8×D17C2211yescharacteristic
39#11763563C22116yescomplemented
40#11763562C22116yescomplemented
41#11763561C22116yescomplemented
42#11763560C22116yescomplemented
43#11763536C22116yescomplemented
44#11763526C22116yescomplemented
45#11763518C22116yescomplemented
46#11763513C22116yescomplemented
47#11763508C22116yescomplemented
48#11763502C22116yescomplemented
49D4×Dic34C22116yescomplemented
50#11763472C22116yescomplemented
51#11763472C22116yescomplemented
52#11763468C22116yescomplemented
53#11763465C22116yescomplemented
54#11763457C22116yescomplemented
55#11763439C22116yescomplemented
56#11763438C22116yescomplemented
57#11763427C22116yescomplemented
58#11763425C22116yescomplemented
59#11763418C22116yescomplemented
60#11763416C22116yescomplemented
61#11763406C22116yescomplemented
62#11763403C22116yescomplemented
63#11763403C22116yescomplemented
64#11763382C22116yescomplemented
65#11763381C22116yescomplemented
66C2×#10587555C2211yescharacteristic
67C2×#10587574C2211yescharacteristic
68C2×#10587574C2211yescharacteristic
69C2×#10587574C2211yescharacteristic
70C2×#10587574C2211yescharacteristic
71C2×#10587574C2211yescharacteristic
72C2×#10587574C2211yescharacteristic
73C2×#10587574C2211yescharacteristic
74C2×#10587574C2211yescharacteristic
75C2×#10587574C2211yescharacteristic
76C2×#10587574C2211yescharacteristic
77C2×#10587574C2211yescharacteristic
78C2×#10587574C2211yescharacteristic
79C2×#10587574C2211yescharacteristic
80C2×#10587574C22116yescomplemented
81C2×#10587630C2211yescharacteristic
82C2×#10587630C2211yescharacteristic
83#11763336C22116yescomplemented
84#11763336C22116yescomplemented
85C2×#10587584C2211yescharacteristic
86C2×#10587584C2211yescharacteristic
87C2×#10587584C2211yescharacteristic
88C2×#10587584C2211yescharacteristic
89C2×#10587584C2211yescharacteristic
90C2×#10587584C2211yescharacteristic
91C2×#10587584C2211yescharacteristic
92C2×#10587562C2211yescharacteristic
93C2×#10587565C2211yescharacteristic
94C2×#10587565C2211yescharacteristic
95C2×#10587565C2211yescharacteristic
96C2×#10587565C2211yescharacteristic
97C2×#10587565C2211yescharacteristic
98C2×#10587565C2211yescharacteristic
99C2×#10587556C2211yescharacteristic
100C2×#10587576C2211yescharacteristic
101C2×#10587576C2211yescharacteristic
102C2×#10587576C2211yescharacteristic
103C2×#10587575C2211yescharacteristic
104C2×#10587575C2211yescharacteristic
105C2×#10587575C2211yescharacteristic
106C2×#10587575C2211yescharacteristic
107C2×#10587575C2211yescharacteristic
108C2×#10587575C2211yescharacteristic
109C2×#10587575C2211yescharacteristic
110C2×#10587575C2211yescharacteristic
111C2×#10587575C2211yescharacteristic
112C2×#10587575C2211yescharacteristic
113C2×#10587561C2211yescharacteristic
114C2×#10587622C2211yescharacteristic
115C2×#10587571C2211yescharacteristic
116C2×#10587571C2211yescharacteristic
117C2×#10587571C2211yescharacteristic
118C2×#10587571C2211yescharacteristic
119C2×#10587571C2211yescharacteristic
120C2×#10587571C2211yescharacteristic
121C2×#10587580C2211yescharacteristic
122C2×#10587580C2211yescharacteristic
123C2×#10587580C2211yescharacteristic
124C2×#10587572C2211yescharacteristic
125C2×#10587572C2211yescharacteristic
126C2×#10587615C2211yescharacteristic
127C2×#10587615C2211yescharacteristic
128C2×#10587615C2211yescharacteristic
129C2×#10587569C2211yescharacteristic
130C2×#10587569C2211yescharacteristic
131C2×#10587569C2211yescharacteristic
132C2×#10587621C2211yescharacteristic
133C2×#10587583C2211yescharacteristic
134C2×#10587583C2211yescharacteristic
135C2×#10587583C2211yescharacteristic
136C2×#10587583C2211yescharacteristic
137C2×#10587610C2211yescharacteristic
138C2×#10587610C2211yescharacteristic
139C2×#10587610C2211yescharacteristic
140C2×#10587610C2211yescharacteristic
141C2×#10587582C2211yescharacteristic
142C2×#10587582C2211yescharacteristic
143C2×#10587582C2211yescharacteristic
144C2×#10587582C2211yescharacteristic
145C2×#10587582C2211yescharacteristic
146C2×#10587582C2211yescharacteristic
147C2×#10587582C2211yescharacteristic
148C2×#10587582C2211yescharacteristic
149C2×#10587564C2211yescharacteristic
150C2×#10587564C2211yescharacteristic
151C2×#10587564C2211yescharacteristic
152C2×#10587564C2211yescharacteristic
153C2×#10587564C2211yescharacteristic
154C2×#10587564C2211yescharacteristic
155C2×#10587564C2211yescharacteristic
156C2×#10587564C2211yescharacteristic
157C2×#10587564C2211yescharacteristic
158C2×#10587564C2211yescharacteristic
159C2×#10587564C2211yescharacteristic
160C2×#10587564C2211yescharacteristic
161C2×#10587632C2211yescharacteristic
162C2×#10587616C2211yescharacteristic
163C2×#10587570C2211yescharacteristic
164C2×#10587625C2211yescharacteristic
165C2×#10587625C2211yescharacteristic
166C2×#10587625C2211yescharacteristic
167C2×#10587625C2211yescharacteristic
168C2×#10587625C2211yescharacteristic
169C2×C4×Dic34C2211yescharacteristic
170C2×C4×Dic34C2211yescharacteristic
171C2×C4×Dic34C2211yescharacteristic
172C2×#10587573C2211yescharacteristic
173C2×#10587573C2211yescharacteristic
174C2×#10587573C2211yescharacteristic
175C2×#10587573C2211yescharacteristic
176C2×#10587573C2211yescharacteristic
177C2×D4×Dic17C2211yescharacteristic
178C2×D4×Dic17C2211yescharacteristic
179C2×D4×Dic17C2211yescharacteristic
180C2×D4×Dic17C2211yescharacteristic
181C2×C4×C22⋊D17C2211yescharacteristic
182C2×C4×C22⋊D17C2211yescharacteristic
183C2×C4×C22⋊D17C2211yescharacteristic
184C2×#10587567C2211yescharacteristic
185C2×#10587567C2211yescharacteristic
186C2×#10587567C2211yescharacteristic
187C2×#10587567C2211yescharacteristic
188C2×#10587567C2211yescharacteristic
189C2×#10587567C2211yescharacteristic
190C2×#10587567C2211yescharacteristic
191C2×#10587578C2211yescharacteristic
192C2×#10587578C2211yescharacteristic
193C2×#10587558C2211yescharacteristic
194C2×#10587563C2211yescharacteristic
195C2×#10587563C2211yescharacteristic
196C2×#10587563C2211yescharacteristic
197C22×C4⋊Dic17C2211yescharacteristic
198C22×#63225C2211yescharacteristic
199C22×#63225C2211yescharacteristic
200C22×#63225C2211yescharacteristic
201C2×C4⋊C4×D17C2211yescharacteristic
202C22×C4×Dic17C2211yescharacteristic
203C17×#539C22116yescomplemented
204C2×C17×#126C2211yescharacteristic
205C2×C17×#126C2211yescharacteristic
206C2×C17×#125C2211yescharacteristic
207C2×C17×#125C2211yescharacteristic
208C2×C17×#123C2211yescharacteristic
209C2×C17×#123C2211yescharacteristic
210C2×C17×#123C2211yescharacteristic
211C2×C17×#123C2211yescharacteristic
212C2×C17×C22⋊Q8C2211yescharacteristic
213C2×C17×C22⋊Q8C2211yescharacteristic
214C2×C17×C22⋊Q8C2211yescharacteristic
215C2×C17×#121C2211yescharacteristic
216C2×C4×D4×C17C2211yescharacteristic
217C2×C4×D4×C17C2211yescharacteristic
218C22×C4⋊C4×C17C2211yescharacteristic
219C22×Q8×C17C2311yescharacteristic
220C22×D4×C17C2311yescharacteristic
221C22×D4×C17C2311yescharacteristic
222C22×D4×C17C2311yescharacteristic
223C23×C4×C17C2311yescharacteristic
224C23×C4×C17C2311yescharacteristic
225C23×C4×C17C2311yescharacteristic
226C23×C4×C17C2311yescharacteristic
227C23×C4×C17C2311yescharacteristic
228C22×C22⋊D17C2311yescharacteristic
229C22×C22⋊D17C2311yescharacteristic
230C22×C22⋊D17C2311yescharacteristic
231C22×C22⋊D17C2311yescharacteristic
232C22×C22⋊D17C2311yescharacteristic
233C22×C22⋊D17C2311yescharacteristic
234C23×Dic17C2311yescharacteristic
235C23×Dic17C2311yescharacteristic
236C23×Dic17C2311yescharacteristic
237C23×Dic17C2311yescharacteristic
238C23×Dic17C2311yescharacteristic
239C23×Dic17C2311yescharacteristic
240C23×Dic17C2311yescharacteristic
241C23×Dic17C2311yescharacteristic
242C2×Q8×D17—44no—
243C2×Q8×D17C2318yes—
244C2×#63254—44no—
245C2×#63254C2318yes—
246C2×#63252—44no—
247C2×#63252C2318yes—
248C22×D68C2311yescharacteristic
249C22×C4×D17C2311yescharacteristic
250C22×C4×D17C2311yescharacteristic
251C22×C4×D17C2311yescharacteristic
252C22×C4×D17C2311yescharacteristic
253C22×C4×D17C2311yescharacteristic
254C22×C4×D17C2311yescharacteristic
255C22×Dic34—44no—
256C22×Dic34—44no—
257C22×Dic34—44no—
258C22×Dic34C2311yescharacteristic
259C22×Dic34C2311yescharacteristic
260C22×Dic34C2311yescharacteristic
261C22×Dic34C2311yescharacteristic
262C22×Dic34C2311yescharacteristic
263C22×Dic34C2311yescharacteristic
264C22×Dic34C2318yes—
265C22×Dic34C2318yes—
266C22×Dic34C2318yes—
267C22×Dic34C2311yescharacteristic
268C22×Dic34C2311yescharacteristic
269C22×Dic34C2311yescharacteristic
270C22×Dic34C2311yescharacteristic
271C22×Dic34C2311yescharacteristic
272C22×Dic34C2311yescharacteristic
273C22×Dic34C2311yescharacteristic
274C17×#126C2318yes—
275C17×#126C2318yes—
276C17×#125C2318yes—
277C17×#125C2318yes—
278C17×#123C2318yes—
279C17×#123C2318yes—
280C17×#123C2318yes—
281C17×#123C2318yes—
282C17×C22⋊Q8C2318yes—
283C17×C22⋊Q8C2318yes—
284C17×C22⋊Q8C2318yes—
285C17×#121C2318yes—
286C4×D4×C17C2318yes—
287C4×D4×C17C2318yes—
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×C4⋊C4×C17C2311yescharacteristic
300C2×C4⋊C4×C17C2311yescharacteristic
301C2×C4⋊C4×C17C2311yescharacteristic
302C2×C4⋊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×C22⋊C4×C17C2311yescharacteristic
310C2×C22⋊C4×C17C2311yescharacteristic
311C2×C22⋊C4×C17C2311yescharacteristic
312C2×C22⋊C4×C17C2311yescharacteristic
313C2×C42×C17C2311yescharacteristic
314C2×C42×C17C2311yescharacteristic
315C2×C22⋊Dic17C2311yescharacteristic
316C2×C22⋊Dic17C2311yescharacteristic
317C2×C22⋊Dic17C2311yescharacteristic
318C2×C22⋊Dic17C2311yescharacteristic
319C2×C22⋊Dic17C2311yescharacteristic
320C2×C22⋊Dic17C2311yescharacteristic
321C2×C22⋊Dic17C2311yescharacteristic
322C2×C22⋊Dic17C2311yescharacteristic
323C2×C22⋊Dic17C2311yescharacteristic
324C2×C22⋊Dic17C2311yescharacteristic
325#10587632C2318yes—
326#10587630C2318yes—
327#10587630C2318yes—
328#10587625C2318yes—
329#10587625C2318yes—
330#10587625C2318yes—
331#10587625C2318yes—
332#10587625C2318yes—
333#10587622C2318yes—
334#10587621C2318yes—
335D4×Dic17C2318yes—
336D4×Dic17C2318yes—
337D4×Dic17C2318yes—
338D4×Dic17C2318yes—
339#10587616C2318yes—
340#10587615C2318yes—
341#10587615C2318yes—
342#10587615C2318yes—
343C4×C22⋊D17C2318yes—
344C4×C22⋊D17C2318yes—
345C4×C22⋊D17C2318yes—
346C2×#63227C2311yescharacteristic
347C2×#63227C2311yescharacteristic
348C2×#63227C2311yescharacteristic
349C2×#63227C2311yescharacteristic
350C2×#63227C2311yescharacteristic
351C2×#63227C2311yescharacteristic
352C2×#63227C2311yescharacteristic
353C2×#63227C2311yescharacteristic
354C2×#63227C2311yescharacteristic
355C2×#63227C2311yescharacteristic
356C2×#63227C2311yescharacteristic
357C2×#63227C2311yescharacteristic
358C2×#63227C2311yescharacteristic
359C2×#63227C2311yescharacteristic
360C2×#63227C2311yescharacteristic
361C2×#63227C2311yescharacteristic
362C2×C4⋊Dic17C2311yescharacteristic
363C2×C4⋊Dic17C2311yescharacteristic
364C2×C4⋊Dic17C2311yescharacteristic
365C2×C4⋊Dic17C2311yescharacteristic
366C2×C4⋊Dic17C2311yescharacteristic
367C2×C4⋊Dic17C2318yes—
368C2×C4⋊Dic17C2311yescharacteristic
369C2×C4⋊Dic17C2311yescharacteristic
370C2×C4⋊Dic17C2311yescharacteristic
371C2×C4⋊Dic17C2311yescharacteristic
372C2×C4⋊Dic17C2311yescharacteristic
373C2×C4⋊Dic17C2311yescharacteristic
374C2×C4⋊Dic17C2311yescharacteristic
375C2×C4⋊Dic17C2311yescharacteristic
376C2×C4⋊Dic17C2311yescharacteristic
377#10587610C2318yes—
378#10587610C2318yes—
379#10587610C2318yes—
380#10587610C2318yes—
381C2×#63225C2318yes—
382C2×#63225C2318yes—
383C2×#63225C2318yes—
384C2×#63225C2311yescharacteristic
385C2×#63225C2311yescharacteristic
386C2×#63225C2311yescharacteristic
387C2×#63225C2311yescharacteristic
388C2×#63225C2311yescharacteristic
389C2×#63225C2311yescharacteristic
390C2×#63225C2311yescharacteristic
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×#63225C2311yescharacteristic
410C2×#63225C2311yescharacteristic
411C2×#63225C2311yescharacteristic
412C2×#63225C2311yescharacteristic
413C2×#63225C2311yescharacteristic
414C2×#63225C2311yescharacteristic
415C2×#63225C2311yescharacteristic
416C2×C4×Dic17C2311yescharacteristic
417C2×C4×Dic17C2311yescharacteristic
418C2×C4×Dic17C2311yescharacteristic
419C2×C4×Dic17C2311yescharacteristic
420C2×C4×Dic17C2318yes—
421C2×C4×Dic17C2311yescharacteristic
422C2×C4×Dic17C2311yescharacteristic
423C2×C4×Dic17C2311yescharacteristic
424C2×C4×Dic17C2311yescharacteristic
425C2×C4×Dic17C2311yescharacteristic
426C2×C4×Dic17C2311yescharacteristic
427C2×C4×Dic17C2311yescharacteristic
428C2×C4×Dic17C2311yescharacteristic
429C2×C4×Dic17C2311yescharacteristic
430C2×C4×Dic17C2311yescharacteristic
431#10587584C2318yes—
432#10587584C2318yes—
433#10587584C2318yes—
434#10587584C2318yes—
435#10587584C2318yes—
436#10587584C2318yes—
437#10587584C2318yes—
438#10587583C2318yes—
439#10587583C2318yes—
440#10587583C2318yes—
441#10587583C2318yes—
442#10587582C2318yes—
443#10587582C2318yes—
444#10587582C2318yes—
445#10587582C2318yes—
446#10587582C2318yes—
447#10587582C2318yes—
448#10587582C2318yes—
449#10587582C2318yes—
450#10587580C2318yes—
451#10587580C2318yes—
452#10587580C2318yes—
453#10587578C2318yes—
454#10587578C2318yes—
455C4⋊C4×D17C2318yes—
456#10587576C2318yes—
457#10587576C2318yes—
458#10587576C2318yes—
459#10587575C2318yes—
460#10587575C2318yes—
461#10587575C2318yes—
462#10587575C2318yes—
463#10587575C2318yes—
464#10587575C2318yes—
465#10587575C2318yes—
466#10587575C2318yes—
467#10587575C2318yes—
468#10587575C2318yes—
469#10587574C2318yes—
470#10587574C2318yes—
471#10587574C2318yes—
472#10587574C2318yes—
473#10587574C2318yes—
474#10587574C2318yes—
475#10587574C2318yes—
476#10587574C2318yes—
477#10587574C2318yes—
478#10587574C2318yes—
479#10587574C2318yes—
480#10587574C2318yes—
481#10587574C2318yes—
482#10587573C2318yes—
483#10587573C2318yes—
484#10587573C2318yes—
485#10587573C2318yes—
486#10587573C2318yes—
487#10587572C2318yes—
488#10587572C2318yes—
489#10587571C2318yes—
490#10587571C2318yes—
491#10587571C2318yes—
492#10587571C2318yes—
493#10587571C2318yes—
494#10587571C2318yes—
495#10587570C2318yes—
496#10587569C2318yes—
497#10587569C2318yes—
498#10587569C2318yes—
499#10587567C2318yes—
500#10587567C2318yes—
501#10587567C2318yes—
502#10587567C2318yes—
503#10587567C2318yes—
504#10587567C2318yes—
505#10587567C2318yes—
506#10587565C2318yes—
507#10587565C2318yes—
508#10587565C2318yes—
509#10587565C2318yes—
510#10587565C2318yes—
511#10587565C2318yes—
512#10587564C2318yes—
513#10587564C2318yes—
514#10587564C2318yes—
515#10587564C2318yes—
516#10587564C2318yes—
517#10587564C2318yes—
518#10587564C2318yes—
519#10587564C2318yes—
520#10587564C2318yes—
521#10587564C2318yes—
522#10587564C2318yes—
523#10587564C2318yes—
524#10587563C2318yes—
525#10587563C2318yes—
526#10587563C2318yes—
527#10587562C2318yes—
528#10587561C2318yes—
529#10587558C2318yes—
530#10587556C2318yes—
531#10587555C2318yes—
532C4×Dic34C2318yes—
533C4×Dic34C2318yes—
534C4×Dic34C2318yes—
535C24×C17C2411yescharacteristic
536C24×C17C2411yescharacteristic
537C24×C17C2411yescharacteristic
538C23×D17C2411yescharacteristic
539C23×D17C2411yescharacteristic
540C2×Q8×C17—42no—
541C2×Q8×C17C2414yes—
542C2×D4×C17—24no—
543C2×D4×C17—24no—
544C2×D4×C17—42no—
545C2×D4×C17C2414yes—
546C2×D4×C17C2414yes—
547C2×D4×C17C2414yes—
548C22×C4×C17—24no—
549C22×C4×C17—42no—
550C22×C4×C17—42no—
551C22×C4×C17—42no—
552C22×C4×C17—42no—
553C22×C4×C17C2414yes—
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×C17C2411yescharacteristic
566C22×C4×C17C2414yes—
567C22×C4×C17C2414yes—
568C22×C4×C17C2414yes—
569C22×C4×C17C2414yes—
570C2×C22⋊D17—24no—
571C2×C22⋊D17—24no—
572C2×C22⋊D17—24no—
573C2×C22⋊D17—24no—
574C2×C22⋊D17—42no—
575C2×C22⋊D17—42no—
576C2×C22⋊D17C2414yes—
577C2×C22⋊D17C2414yes—
578C2×C22⋊D17C2414yes—
579C2×C22⋊D17C2414yes—
580C2×C22⋊D17C2414yes—
581C2×C22⋊D17C2414yes—
582C22×Dic17—24no—
583C22×Dic17—24no—
584C22×Dic17—24no—
585C22×Dic17—24no—
586C22×Dic17—42no—
587C22×Dic17—42no—
588C22×Dic17—42no—
589C22×Dic17—42no—
590C22×Dic17C2414yes—
591C22×Dic17C2411yescharacteristic
592C22×Dic17C2411yescharacteristic
593C22×Dic17C2411yescharacteristic
594C22×Dic17C2411yescharacteristic
595C22×Dic17C2411yescharacteristic
596C22×Dic17C2411yescharacteristic
597C22×Dic17C2414yes—
598C22×Dic17C2411yescharacteristic
599C22×Dic17C2411yescharacteristic
600C22×Dic17C2414yes—
601C22×Dic17C2414yes—
602C22×Dic17C2411yescharacteristic
603C22×Dic17C2411yescharacteristic
604C22×Dic17C2411yescharacteristic
605C22×Dic17C2411yescharacteristic
606C22×Dic17C2414yes—
607C22×Dic17C2414yes—
608C22×Dic17C2414yes—
609C22×Dic17C2414yes—
610C22×Dic17C2411yescharacteristic
611C22×Dic17C2411yescharacteristic
612Q8×D17—416no—
613#63254—416no—
614#63252—416no—
615C2×D68—42no—
616C2×D68C2414yes—
617C2×C4×D17—24no—
618C2×C4×D17—24no—
619C2×C4×D17—42no—
620C2×C4×D17—42no—
621C2×C4×D17—42no—
622C2×C4×D17—42no—
623C2×C4×D17C2414yes—
624C2×C4×D17C2414yes—
625C2×C4×D17C2414yes—
626C2×C4×D17C2414yes—
627C2×C4×D17C2414yes—
628C2×C4×D17C2414yes—
629C2×Dic34—24no—
630C2×Dic34—24no—
631C2×Dic34—24no—
632C2×Dic34—24no—
633C2×Dic34—24no—
634C2×Dic34—24no—
635C2×Dic34—416no—
636C2×Dic34—416no—
637C2×Dic34—416no—
638C2×Dic34—42no—
639C2×Dic34—42no—
640C2×Dic34—42no—
641C2×Dic34—42no—
642C2×Dic34—42no—
643C2×Dic34—42no—
644C2×Dic34—42no—
645C2×Dic34C2414yes—
646C2×Dic34C2414yes—
647C2×Dic34C2414yes—
648C2×Dic34C2414yes—
649C2×Dic34C2414yes—
650C2×Dic34C2414yes—
651C2×Dic34C2414yes—
652C2×Dic34C2414yes—
653C2×Dic34C2414yes—
654C2×Dic34C2414yes—
655C2×Dic34C2414yes—
656C2×Dic34C2414yes—
657C2×Dic34C2414yes—
658C4⋊C4×C17C2414yes—
659C4⋊C4×C17C2414yes—
660C4⋊C4×C17C2414yes—
661C4⋊C4×C17C2414yes—
662C4⋊C4×C17C2414yes—
663C4⋊C4×C17C2414yes—
664C4⋊C4×C17C2414yes—
665C4⋊C4×C17C2414yes—
666C4⋊C4×C17C2414yes—
667C4⋊C4×C17C2414yes—
668C4⋊C4×C17C2414yes—
669C4⋊C4×C17C2414yes—
670C4⋊C4×C17C2414yes—
671C4⋊C4×C17C2414yes—
672C22⋊C4×C17C2414yes—
673C22⋊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—
682C42×C17C2414yes—
683C42×C17C2414yes—
684C22⋊Dic17C2414yes—
685C22⋊Dic17C2414yes—
686C22⋊Dic17C2414yes—
687C22⋊Dic17C2414yes—
688C22⋊Dic17C2414yes—
689C22⋊Dic17C2414yes—
690C22⋊Dic17C2414yes—
691C22⋊Dic17C2414yes—
692C22⋊Dic17C2414yes—
693C22⋊Dic17C2414yes—
694#63227C2414yes—
695#63227C2414yes—
696#63227C2414yes—
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—
710C4⋊Dic17C2414yes—
711C4⋊Dic17C2414yes—
712C4⋊Dic17C2414yes—
713C4⋊Dic17C2414yes—
714C4⋊Dic17C2414yes—
715C4⋊Dic17C2414yes—
716C4⋊Dic17C2414yes—
717C4⋊Dic17C2414yes—
718C4⋊Dic17C2414yes—
719C4⋊Dic17C2414yes—
720C4⋊Dic17C2414yes—
721C4⋊Dic17C2414yes—
722C4⋊Dic17C2414yes—
723C4⋊Dic17C2414yes—
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—
749#63225C2414yes—
750#63225C2414yes—
751#63225C2414yes—
752#63225C2414yes—
753#63225C2414yes—
754#63225C2414yes—
755#63225C2414yes—
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×#3552—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×C172−1+414yes—
780C23×C17C2512yes—
781C23×C17C2512yes—
782C23×C17C2512yes—
783C23×C17C2511yescharacteristic
784C22×D17—22no—
785C22×D17—22no—
786C22×D17—22no—
787C22×D17—22no—
788C22×D17—22no—
789C22×D17—22no—
790C22×D17C2512yes—
791C22×D17C2512yes—
792Q8×C17—44no—
793D4×C17—28no—
794D4×C17—28no—
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—28no—
805C2×C4×C17—22no—
806C2×C4×C17—22no—
807C2×C4×C17—22no—
808C2×C4×C17—22no—
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—
824C2×C4×C17C2512yes—
825C22⋊D17—28no—
826C22⋊D17—28no—
827C22⋊D17—28no—
828C22⋊D17—28no—
829C22⋊D17—44no—
830C22⋊D17—44no—
831C2×Dic17—22no—
832C2×Dic17—22no—
833C2×Dic17—22no—
834C2×Dic17—22no—
835C2×Dic17—22no—
836C2×Dic17—22no—
837C2×Dic17—22no—
838C2×Dic17—22no—
839C2×Dic17—22no—
840C2×Dic17—22no—
841C2×Dic17—22no—
842C2×Dic17—22no—
843C2×Dic17—28no—
844C2×Dic17—28no—
845C2×Dic17—28no—
846C2×Dic17—28no—
847C2×Dic17—44no—
848C2×Dic17—44no—
849C2×Dic17—44no—
850C2×Dic17—44no—
851C2×Dic17H(5,𝔽2)14yes—
852C2×Dic172−1+414yes—
853C2×Dic17C2512yes—
854C2×Dic17C2512yes—
855C2×Dic17C2512yes—
856C2×Dic17C2512yes—
857C2×Dic17C2512yes—
858C2×Dic17C2512yes—
859C2×Dic17C2512yes—
860C2×Dic17C2512yes—
861C2×Dic17C2512yes—
862C2×Dic17C2512yes—
863C2×Dic17C2512yes—
864C2×Dic17C2512yes—
865C2×Dic17C2512yes—
866C2×Dic17C2512yes—
867D68—44no—
868C4×D17—28no—
869C4×D17—28no—
870C4×D17—44no—
871C4×D17—44no—
872C4×D17—44no—
873C4×D17—44no—
874Dic34—28no—
875Dic34—28no—
876Dic34—28no—
877Dic34—28no—
878Dic34—28no—
879Dic34—28no—
880Dic34—44no—
881Dic34—44no—
882Dic34—44no—
883Dic34—44no—
884Dic34—44no—
885Dic34—44no—
886Dic34—44no—
887#3552—1732no—
888C2×#563—171no—
889C2×#563—171no—
890C2×#563—171no—
891C2×#563—171no—
892C2×#557—171no—
893C2×#556—171no—
894C2×#554—171no—
895C2×#554—171no—
896C2×#553—171no—
897C2×#553—171no—
898C2×D4×Q8—171no—
899C2×D4×Q8—171no—
900C2×D4×Q8—171no—
901C2×#548—171no—
902C2×#548—171no—
903C2×#547—171no—
904C2×#544—171no—
905C2×#544—171no—
906C2×#542—171no—
907C2×#542—171no—
908C2×#541—171no—
909C2×#541—171no—
910C2×#539—171no—
911C2×#539—171no—
912C2×#539—171no—
913C2×#539D1711yescharacteristic, complemented
914C2×#536—171no—
915C2×#536—171no—
916C22×C4⋊Q8—171no—
917C2×#529—171no—
918C2×#529—171no—
919C22×C17—22no—
920C22×C17—22no—
921C22×C17—28no—
922C22×C17—22no—
923C22×C17—22no—
924C22×C17—22no—
925C22×C17—22no—
926C22×C17—22no—
927C22×C17—22no—
928C22×C17—44no—
929C22×C17—44no—
930C22×C17C2×H(5,𝔽2)12yes—
931C22×C17C2×2−1+412yes—
932C22×C17C2×2−1+414yes—
933C22×C17C2×2−1+412yes—
934C22×C17C2611yescharacteristic
935C2×D17—22no—
936C2×D17—22no—
937C2×D17—22no—
938C2×D17—22no—
939C2×D17—22no—
940C2×D17—22no—
941C2×D17—44no—
942C2×D17—44no—
943C4×C17—22no—
944C4×C17—22no—
945C4×C17—22no—
946C4×C17—22no—
947C4×C17—22no—
948C4×C17—22no—
949C4×C17—22no—
950C4×C17—22no—
951C4×C17—22no—
952C4×C17—22no—
953C4×C17—22no—
954C4×C17—22no—
955Dic17—22no—
956Dic17—22no—
957Dic17—22no—
958Dic17—22no—
959Dic17—22no—
960Dic17—22no—
961Dic17—22no—
962Dic17—22no—
963Dic17—22no—
964Dic17—22no—
965Dic17—22no—
966Dic17—22no—
967Dic17C2×H(5,𝔽2)14yes—
968Dic17C2×2−1+414yes—
969C22×#41—171no—
970C22×#41—171no—
971C23×Q8—171no—
972C23×Q8—171no—
973C23×Q8—171no—
974C23×Q8—171no—
975#563—1716no—
976#563—1716no—
977#563—1716no—
978#563—1716no—
979#557—1716no—
980#556—1716no—
981#554—1716no—
982#554—1716no—
983#553—1716no—
984#553—1716no—
985D4×Q8—1716no—
986D4×Q8—1716no—
987D4×Q8—1716no—
988#548—1716no—
989#548—1716no—
990#547—1716no—
991#544—1716no—
992#544—1716no—
993#542—1716no—
994#542—1716no—
995#541—1716no—
996#541—1716no—
997#539—1716no—
998#539—1716no—
999#539—1716no—
1000#539C2×D17116yescomplemented
1001#536—1716no—
1002#536—1716no—
1003C2×C4⋊Q8—171no—
1004C2×C4⋊Q8—171no—
1005C2×C4⋊Q8—171no—
1006C2×C4⋊Q8—171no—
1007C2×C4⋊Q8—171no—
1008C2×C4⋊Q8—171no—
1009C2×C4⋊Q8—171no—
1010C2×C4⋊Q8—171no—
1011C2×C4⋊Q8—171no—
1012C2×C4⋊Q8—171no—
1013C2×C4⋊Q8—1716no—
1014C2×C4⋊Q8—171no—
1015C2×C4⋊Q8—171no—
1016C2×C4⋊Q8—171no—
1017C2×C4⋊Q8—171no—
1018C2×C4⋊Q8—171no—
1019C2×C4⋊Q8—171no—
1020#529—1716no—
1021#529—1716no—
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×#126—171no—
1032C2×#126—171no—
1033C2×#126—171no—
1034C2×#126—171no—
1035C2×#126—171no—
1036C2×#126C2×D1711yescharacteristic
1037C2×#126C2×D1711yescharacteristic
1038C2×#125—171no—
1039C2×#125—171no—
1040C2×#125—171no—
1041C2×#125—171no—
1042C2×#125—171no—
1043C2×#125—171no—
1044C2×#125—171no—
1045C2×#125—171no—
1046C2×#125—171no—
1047C2×#125—171no—
1048C2×#125—171no—
1049C2×#125—171no—
1050C2×#125—171no—
1051C2×#125—171no—
1052C2×#125C2×D1711yescharacteristic
1053C2×#125C2×D1711yescharacteristic
1054C2×#124—171no—
1055C2×#124—171no—
1056C2×#124—171no—
1057C2×#124—171no—
1058C2×#124—171no—
1059C2×#124—171no—
1060C2×#124—171no—
1061C2×#124—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×#123—171no—
1071C2×#123—171no—
1072C2×#123—171no—
1073C2×#123—171no—
1074C2×#123C2×D1711yescharacteristic
1075C2×#123C2×D1711yescharacteristic
1076C2×#123C2×D1711yescharacteristic
1077C2×#123C2×D1711yescharacteristic
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×C22⋊Q8—171no—
1088C2×C22⋊Q8—171no—
1089C2×C22⋊Q8—171no—
1090C2×C22⋊Q8—171no—
1091C2×C22⋊Q8—171no—
1092C2×C22⋊Q8—171no—
1093C2×C22⋊Q8—171no—
1094C2×C22⋊Q8—171no—
1095C2×C22⋊Q8—171no—
1096C2×C22⋊Q8—171no—
1097C2×C22⋊Q8—171no—
1098C2×C22⋊Q8—171no—
1099C2×C22⋊Q8—171no—
1100C2×C22⋊Q8—171no—
1101C2×C22⋊Q8—171no—
1102C2×C22⋊Q8—171no—
1103C2×C22⋊Q8—171no—
1104C2×C22⋊Q8—171no—
1105C2×C22⋊Q8—171no—
1106C2×C22⋊Q8—171no—
1107C2×C22⋊Q8C2×D1711yescharacteristic
1108C2×C22⋊Q8C2×D1711yescharacteristic
1109C2×C22⋊Q8C2×D1711yescharacteristic
1110C2×#121—171no—
1111C2×#121—171no—
1112C2×#121—171no—
1113C2×#121—171no—
1114C2×#121—171no—
1115C2×#121—171no—
1116C2×#121—171no—
1117C2×#121C2×D1711yescharacteristic
1118C2×C4×Q8—171no—
1119C2×C4×Q8—171no—
1120C2×C4×Q8—171no—
1121C2×C4×Q8—171no—
1122C2×C4×Q8—171no—
1123C2×C4×Q8—171no—
1124C2×C4×Q8—171no—
1125C2×C4×Q8—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×D4—171no—
1140C2×C4×D4C2×D1711yescharacteristic
1141C2×C4×D4C2×D1711yescharacteristic
1142C2×#117—171no—
1143C2×#117—171no—
1144C2×#117—171no—
1145C2×#117—171no—
1146C2×#117—171no—
1147C2×#117—171no—
1148C22×C4⋊C4—171no—
1149C22×C4⋊C4—171no—
1150C22×C4⋊C4—171no—
1151C22×C4⋊C4—171no—
1152C22×C4⋊C4—171no—
1153C22×C4⋊C4C2×D1711yescharacteristic
1154C22×C42—171no—
1155C2×C17—24no—
1156C2×C17—42no—
1157C2×C17—42no—
1158C2×C17#355214yescomplemented
1159C2×C17C22×H(5,𝔽2)11yescharacteristic
1160C2×C17C22×2−1+411yescharacteristic
1161C2×C17C22×2−1+411yescharacteristic
1162D17—42no—
1163D17—42no—
1164C2×#41—178no—
1165C2×#41—178no—
1166C2×#41—684no—
1167C2×#41—684no—
1168C22×Q8—178no—
1169C22×Q8—171no—
1170C22×Q8—171no—
1171C22×Q8—171no—
1172C22×Q8—171no—
1173C22×Q8—171no—
1174C22×Q8—171no—
1175C22×Q8—171no—
1176C22×Q8—171no—
1177C22×Q8—171no—
1178C22×Q8—171no—
1179C22×Q8—171no—
1180C22×Q8—171no—
1181C22×Q8—171no—
1182C22×Q8—178no—
1183C22×Q8—178no—
1184C22×Q8—178no—
1185C22×Q8—684no—
1186C22×Q8—684no—
1187C22×Q8—684no—
1188C22×Q8—684no—
1189C22×Q8C22×D1711yescharacteristic
1190C22×D4—171no—
1191C22×D4—171no—
1192C22×D4—171no—
1193C22×D4—171no—
1194C22×D4—171no—
1195C22×D4—171no—
1196C22×D4—171no—
1197C22×D4C22×D1711yescharacteristic
1198C22×D4C22×D1711yescharacteristic
1199C22×D4C22×D1711yescharacteristic
1200C23×C4—171no—
1201C23×C4—171no—
1202C23×C4—171no—
1203C23×C4—171no—
1204C23×C4—171no—
1205C23×C4—171no—
1206C23×C4—171no—
1207C23×C4—171no—
1208C23×C4—171no—
1209C23×C4—171no—
1210C23×C4—171no—
1211C23×C4—171no—
1212C23×C4—171no—
1213C23×C4—171no—
1214C23×C4C22×D1711yescharacteristic
1215C23×C4C22×D1711yescharacteristic
1216C23×C4C22×D1711yescharacteristic
1217C23×C4C22×D1711yescharacteristic
1218C23×C4C22×D1711yescharacteristic
1219C4⋊Q8—178no—
1220C4⋊Q8—178no—
1221C4⋊Q8—178no—
1222C4⋊Q8—178no—
1223C4⋊Q8—178no—
1224C4⋊Q8—178no—
1225C4⋊Q8—178no—
1226C4⋊Q8—178no—
1227C4⋊Q8—178no—
1228C4⋊Q8—178no—
1229C4⋊Q8—178no—
1230C4⋊Q8—178no—
1231C4⋊Q8—178no—
1232C4⋊Q8—178no—
1233C4⋊Q8—178no—
1234C4⋊Q8—178no—
1235#126—178no—
1236#126—178no—
1237#126—178no—
1238#126—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#126C22×D1718yes—
1250#126C22×D1718yes—
1251#125—178no—
1252#125—178no—
1253#125—178no—
1254#125—178no—
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#125C22×D1718yes—
1266#125C22×D1718yes—
1267#124—178no—
1268#124—178no—
1269#124—178no—
1270#124—178no—
1271#124—178no—
1272#124—178no—
1273#124—178no—
1274#124—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—
1289#123C22×D1718yes—
1290#123C22×D1718yes—
1291C22⋊Q8—178no—
1292C22⋊Q8—178no—
1293C22⋊Q8—178no—
1294C22⋊Q8—178no—
1295C22⋊Q8—178no—
1296C22⋊Q8—178no—
1297C22⋊Q8—178no—
1298C22⋊Q8—178no—
1299C22⋊Q8—178no—
1300C22⋊Q8—178no—
1301C22⋊Q8—178no—
1302C22⋊Q8—178no—
1303C22⋊Q8—178no—
1304C22⋊Q8—178no—
1305C22⋊Q8—178no—
1306C22⋊Q8—178no—
1307C22⋊Q8—178no—
1308C22⋊Q8—178no—
1309C22⋊Q8—178no—
1310C22⋊Q8—178no—
1311C22⋊Q8—178no—
1312C22⋊Q8—178no—
1313C22⋊Q8—178no—
1314C22⋊Q8—178no—
1315C22⋊Q8—178no—
1316C22⋊Q8—178no—
1317C22⋊Q8—178no—
1318C22⋊Q8—178no—
1319C22⋊Q8—178no—
1320C22⋊Q8C22×D1718yes—
1321C22⋊Q8C22×D1718yes—
1322C22⋊Q8C22×D1718yes—
1323#121—178no—
1324#121—178no—
1325#121—178no—
1326#121—178no—
1327#121—178no—
1328#121—178no—
1329#121—178no—
1330#121C22×D1718yes—
1331C4×Q8—178no—
1332C4×Q8—178no—
1333C4×Q8—178no—
1334C4×Q8—178no—
1335C4×Q8—178no—
1336C4×Q8—178no—
1337C4×Q8—178no—
1338C4×Q8—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×D4C22×D1718yes—
1354C4×D4C22×D1718yes—
1355#117—178no—
1356#117—178no—
1357#117—178no—
1358#117—178no—
1359#117—178no—
1360#117—178no—
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—178no—
1378C2×C4⋊C4—178no—
1379C2×C4⋊C4—178no—
1380C2×C4⋊C4—178no—
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—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—171no—
1409C2×C4⋊C4—171no—
1410C2×C4⋊C4—171no—
1411C2×C4⋊C4—178no—
1412C2×C4⋊C4C22×D1711yescharacteristic
1413C2×C4⋊C4C22×D1711yescharacteristic
1414C2×C4⋊C4C22×D1711yescharacteristic
1415C2×C4⋊C4C22×D1711yescharacteristic
1416C2×C4⋊C4C22×D1711yescharacteristic
1417C2×C4⋊C4C22×D1718yes—
1418C2×C4⋊C4C22×D1711yescharacteristic
1419C2×C4⋊C4C22×D1711yescharacteristic
1420C2×C4⋊C4C22×D1711yescharacteristic
1421C2×C4⋊C4C22×D1711yescharacteristic
1422C2×C4⋊C4C22×D1711yescharacteristic
1423C2×C4⋊C4C22×D1711yescharacteristic
1424C2×C4⋊C4C22×D1711yescharacteristic
1425C2×C4⋊C4C22×D1711yescharacteristic
1426C2×C4⋊C4C22×D1711yescharacteristic
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—171no—
1475C2×C42—171no—
1476C2×C42—171no—
1477C2×C42—178no—
1478C2×C42C22×D1711yescharacteristic
1479C2×C42C22×D1711yescharacteristic
1480C17C2×#355211yescharacteristic, complemented, Sylow
1481C24—171no—
1482C24—171no—
1483C24C23×D1711yescharacteristic
1484C24C23×D1711yescharacteristic
1485C24C23×D1711yescharacteristic
1486#41—6816no—
1487#41—6816no—
1488C2×Q8—42no—
1489C2×Q8—174no—
1490C2×Q8—174no—
1491C2×Q8—174no—
1492C2×Q8—174no—
1493C2×Q8—174no—
1494C2×Q8—174no—
1495C2×Q8—174no—
1496C2×Q8—174no—
1497C2×Q8—174no—
1498C2×Q8—174no—
1499C2×Q8—174no—
1500C2×Q8—174no—
1501C2×Q8—174no—
1502C2×Q8—344no—
1503C2×Q8—344no—
1504C2×Q8—344no—
1505C2×Q8—344no—
1506C2×Q8—344no—
1507C2×Q8—344no—
1508C2×Q8—682no—
1509C2×Q8—682no—
1510C2×Q8—682no—
1511C2×Q8—682no—
1512C2×Q8—682no—
1513C2×Q8—682no—
1514C2×Q8—682no—
1515C2×Q8—6816no—
1516C2×Q8—6816no—
1517C2×Q8—6816no—
1518C2×Q8—6816no—
1519C2×Q8C23×D1714yes—
1520C2×D4—24no—
1521C2×D4—24no—
1522C2×D4—42no—
1523C2×D4—174no—
1524C2×D4—174no—
1525C2×D4—174no—
1526C2×D4—174no—
1527C2×D4—174no—
1528C2×D4—174no—
1529C2×D4—174no—
1530C2×D4—344no—
1531C2×D4—344no—
1532C2×D4—344no—
1533C2×D4—344no—
1534C2×D4—682no—
1535C2×D4—682no—
1536C2×D4—682no—
1537C2×D4C23×D1714yes—
1538C2×D4C23×D1714yes—
1539C2×D4C23×D1714yes—
1540C22×C4—24no—
1541C22×C4—42no—
1542C22×C4—42no—
1543C22×C4—42no—
1544C22×C4—42no—
1545C22×C4—171no—
1546C22×C4—171no—
1547C22×C4—174no—
1548C22×C4—174no—
1549C22×C4—174no—
1550C22×C4—174no—
1551C22×C4—171no—
1552C22×C4—171no—
1553C22×C4—171no—
1554C22×C4—171no—
1555C22×C4—171no—
1556C22×C4—171no—
1557C22×C4—171no—
1558C22×C4—171no—
1559C22×C4—171no—
1560C22×C4—171no—
1561C22×C4—171no—
1562C22×C4—171no—
1563C22×C4—174no—
1564C22×C4—174no—
1565C22×C4—174no—
1566C22×C4—174no—
1567C22×C4—174no—
1568C22×C4—174no—
1569C22×C4—174no—
1570C22×C4—174no—
1571C22×C4—174no—
1572C22×C4—174no—
1573C22×C4—344no—
1574C22×C4—344no—
1575C22×C4—344no—
1576C22×C4—344no—
1577C22×C4—344no—
1578C22×C4—344no—
1579C22×C4—682no—
1580C22×C4—682no—
1581C22×C4—682no—
1582C22×C4—682no—
1583C22×C4—682no—
1584C22×C4—682no—
1585C22×C4—682no—
1586C22×C4—682no—
1587C22×C4C23×D1714yes—
1588C22×C4C23×D1711yescharacteristic
1589C22×C4C23×D1711yescharacteristic
1590C22×C4C23×D1711yescharacteristic
1591C22×C4C23×D1711yescharacteristic
1592C22×C4C23×D1711yescharacteristic
1593C22×C4C23×D1711yescharacteristic
1594C22×C4C23×D1711yescharacteristic
1595C22×C4C23×D1711yescharacteristic
1596C22×C4C23×D1711yescharacteristic
1597C22×C4C23×D1711yescharacteristic
1598C22×C4C23×D1711yescharacteristic
1599C22×C4C23×D1711yescharacteristic
1600C22×C4C23×D1714yes—
1601C22×C4C23×D1714yes—
1602C22×C4C23×D1714yes—
1603C22×C4C23×D1714yes—
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⋊C4—174no—
1645C4⋊C4—174no—
1646C4⋊C4—174no—
1647C4⋊C4—174no—
1648C4⋊C4—174no—
1649C4⋊C4—174no—
1650C4⋊C4C23×D1714yes—
1651C4⋊C4C23×D1714yes—
1652C4⋊C4C23×D1714yes—
1653C4⋊C4C23×D1714yes—
1654C4⋊C4C23×D1714yes—
1655C4⋊C4C23×D1714yes—
1656C4⋊C4C23×D1714yes—
1657C4⋊C4C23×D1714yes—
1658C4⋊C4C23×D1714yes—
1659C4⋊C4C23×D1714yes—
1660C4⋊C4C23×D1714yes—
1661C4⋊C4C23×D1714yes—
1662C4⋊C4C23×D1714yes—
1663C4⋊C4C23×D1714yes—
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⋊C4—174no—
1687C22⋊C4—174no—
1688C22⋊C4—174no—
1689C22⋊C4—174no—
1690C22⋊C4C23×D1714yes—
1691C22⋊C4C23×D1714yes—
1692C22⋊C4C23×D1714yes—
1693C22⋊C4C23×D1714yes—
1694C22⋊C4C23×D1714yes—
1695C22⋊C4C23×D1714yes—
1696C22⋊C4C23×D1714yes—
1697C22⋊C4C23×D1714yes—
1698C22⋊C4C23×D1714yes—
1699C22⋊C4C23×D1714yes—
1700C42—174no—
1701C42—174no—
1702C42—174no—
1703C42—174no—
1704C42—174no—
1705C42—174no—
1706C42—174no—
1707C42—174no—
1708C42—174no—
1709C42—174no—
1710C42—174no—
1711C42—174no—
1712C42—174no—
1713C42—174no—
1714C42C23×D1714yes—
1715C42C23×D1714yes—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—172no—
1725C23—172no—
1726C23—342no—
1727C23—342no—
1728C23—342no—
1729C23—342no—
1730C23—342no—
1731C23—342no—
1732C23#1058769714yes—
1733C23C24×D1712yes—
1734C23C24×D1712yes—
1735C23C24×D1712yes—
1736C23C24×D1711yescharacteristic
1737Q8—44no—
1738Q8—348no—
1739Q8—348no—
1740Q8—348no—
1741Q8—348no—
1742Q8—348no—
1743Q8—348no—
1744Q8—684no—
1745Q8—684no—
1746Q8—684no—
1747Q8—684no—
1748Q8—684no—
1749Q8—684no—
1750Q8—684no—
1751D4—28no—
1752D4—28no—
1753D4—44no—
1754D4—348no—
1755D4—348no—
1756D4—348no—
1757D4—348no—
1758D4—684no—
1759D4—684no—
1760D4—684no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—28no—
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—174no—
1779C2×C4—174no—
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—172no—
1794C2×C4—348no—
1795C2×C4—348no—
1796C2×C4—348no—
1797C2×C4—348no—
1798C2×C4—348no—
1799C2×C4—348no—
1800C2×C4—342no—
1801C2×C4—342no—
1802C2×C4—342no—
1803C2×C4—342no—
1804C2×C4—342no—
1805C2×C4—342no—
1806C2×C4—342no—
1807C2×C4—342no—
1808C2×C4—342no—
1809C2×C4—342no—
1810C2×C4—342no—
1811C2×C4—342no—
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×C4C24×D1712yes—
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—28no—
1833C22—22no—
1834C22—22no—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—44no—
1842C22—44no—
1843C22—342no—
1844C22—342no—
1845C22—342no—
1846C22—342no—
1847C22—342no—
1848C22—342no—
1849C22—684no—
1850C22—684no—
1851C22H(5,𝔽2)×D1712yes—
1852C222−1+4×D1712yes—
1853C22C2×#1058769714yes—
1854C22C2×#1058769712yes—
1855C22C25×D1711yescharacteristic
1856C4—22no—
1857C4—22no—
1858C4—22no—
1859C4—22no—
1860C4—22no—
1861C4—22no—
1862C4—22no—
1863C4—22no—
1864C4—22no—
1865C4—22no—
1866C4—22no—
1867C4—22no—
1868C4—174no—
1869C4—174no—
1870C4—342no—
1871C4—342no—
1872C4—342no—
1873C4—342no—
1874C4—342no—
1875C4—342no—
1876C4—342no—
1877C4—342no—
1878C4—342no—
1879C4—342no—
1880C4—342no—
1881C4—342no—
1882C2—24no—
1883C2—42no—
1884C2—42no—
1885C2—682no—
1886C2—682no—
1887C2#1454321714yesdirect product factor
1888C2C2×H(5,𝔽2)×D1711yescharacteristic
1889C2C2×2−1+4×D1711yescharacteristic
1890C2C22×#1058769711yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#539C2
socleC23×C17C25
hypercenterC2×#539D17
hypocenterC17C2×#3552
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #14543217C2direct (N × H)
2. C2×#11763563C2semidirect
3. C2×#11763562C2semidirect
4. C2×#11763561C2semidirect
5. C2×#11763560C2semidirect
6. C2×#11763536C2semidirect
7. C2×#11763526C2semidirect
8. C2×#11763518C2semidirect
9. C2×#11763513C2semidirect
10. C2×#11763508C2semidirect
11. C2×#11763502C2semidirect
12. C2×D4×Dic34C2semidirect
13. C2×#11763472C2semidirect
14. C2×#11763472C2semidirect
15. C2×#11763468C2semidirect
16. C2×#11763465C2semidirect
17. C2×#11763457C2semidirect
18. C2×#11763439C2semidirect
19. C2×#11763438C2semidirect
20. C2×#11763427C2semidirect
21. C2×#11763425C2semidirect
22. C2×#11763418C2semidirect
23. C2×#11763416C2semidirect
24. C2×#11763406C2semidirect
25. C2×#11763403C2semidirect
26. C2×#11763403C2semidirect
27. C2×#11763382C2semidirect
28. C2×#11763381C2semidirect
29. C22×#10587574C2semidirect
30. C2×#11763336C2semidirect
31. C2×#11763336C2semidirect
32. C2×C17×#539C2semidirect
39. #11763563C22semidirect
40. #11763562C22semidirect
41. #11763561C22semidirect
42. #11763560C22semidirect
43. #11763536C22semidirect
44. #11763526C22semidirect
45. #11763518C22semidirect
46. #11763513C22semidirect
47. #11763508C22semidirect
48. #11763502C22semidirect
49. D4×Dic34C22semidirect
50. #11763472C22semidirect
51. #11763472C22semidirect
52. #11763468C22semidirect
53. #11763465C22semidirect
54. #11763457C22semidirect
55. #11763439C22semidirect
56. #11763438C22semidirect
57. #11763427C22semidirect
58. #11763425C22semidirect
59. #11763418C22semidirect
60. #11763416C22semidirect
61. #11763406C22semidirect
62. #11763403C22semidirect
63. #11763403C22semidirect
64. #11763382C22semidirect
65. #11763381C22semidirect
80. C2×#10587574C22semidirect
83. #11763336C22semidirect
84. #11763336C22semidirect
203. C17×#539C22semidirect
913. C2×#539D17semidirect
1000. #539C2×D17semidirect
1158. C2×C17#3552semidirect
1480. C17C2×#3552semidirect
1887. C2#14543217direct (N × H)

Maximal subgroups

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

subgroupindex
#145432172
C2×#117635632
C2×#117635622
C2×#117635612
C2×#117635602
C2×#117635362
C2×#117635262
C2×#117635182
C2×#117635132
C2×#117635082
C2×#117635022
C2×D4×Dic342
C2×#117634722
C2×#117634682
C2×#117634652
C2×#117634572
C2×#117634392
C2×#117634382
C2×#117634272
C2×#117634252
C2×#117634182
C2×#117634162
C2×#117634062
C2×#117634032
C2×#117633822
C2×#117633812
C22×#105875742
C2×#117633362
C2×C17×#5392
C2×#355217