Finite Group Databasebeta

← #17202985

Subgroups — #17202985

Order 4352.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763318C211yesmaximal, characteristic, complemented
2#14532979C211yesmaximal, characteristic, complemented
3#14532964C211yesmaximal, characteristic, complemented
4#14532889C211yesmaximal, characteristic, complemented
5#14532874C211yesmaximal, characteristic, complemented
6#14532799C211yesmaximal, characteristic, complemented
7#14532784C211yesmaximal, characteristic, complemented
8#14532700C211yesmaximal, characteristic, complemented
9#14532685C211yesmaximal, characteristic, complemented
10#14532602C211yesmaximal, characteristic, complemented
11#14532528C211yesmaximal, characteristic, complemented
12#14532454C211yesmaximal, characteristic, complemented
13#14532388C211yesmaximal, characteristic, complemented
14#14532314C211yesmaximal, characteristic, complemented
15#14532240C211yesmaximal, characteristic, complemented
16#14532163C211yesmaximal, characteristic, complemented
17#14532099C211yesmaximal, characteristic, complemented
18#14532067C211yesmaximal, characteristic, complemented
19#14532054C211yesmaximal, characteristic, complemented
20#14532026C211yesmaximal, characteristic, complemented
21#14531999C211yesmaximal, characteristic, complemented
22C4×#10587615C211yesmaximal, characteristic, complemented
23C4×#10587615C211yesmaximal, characteristic, complemented
24C4×#10587616C211yesmaximal, characteristic, complemented
25C4×#10587625C211yesmaximal, characteristic, complemented
26C4×#10587623C211yesmaximal, characteristic, complemented
27#14531274C211yesmaximal, characteristic, complemented
28#14531229C211yesmaximal, characteristic, complemented
29#14531227C211yesmaximal, characteristic, complemented
30C2×C4×#63227C211yesmaximal, characteristic, complemented
31C2×C4×#41×C17C211yesmaximal, characteristic, complemented
32C22×#63252C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34#11763318—28no—
35C2×#10587580C2211yescharacteristic
36C2×#10587615C2211yescharacteristic
37C2×#10587615C2211yescharacteristic
38C2×#10587569C2211yescharacteristic
39C2×#10587582C2211yescharacteristic
40C2×#10587564C2211yescharacteristic
41C2×#10587616C2211yescharacteristic
42C2×#10587570C2211yescharacteristic
43C2×#10587625C2211yescharacteristic
44C2×#10587625C2211yescharacteristic
45C2×#10587568C2211yescharacteristic
46C2×#10587623C2211yescharacteristic
47C2×#10587623C2211yescharacteristic
48C2×C4×D68C2211yescharacteristic
49C2×C4×C22⋊D17C2211yescharacteristic
50C2×C4×C22⋊D17C2211yescharacteristic
51C2×C4×C22⋊D17C2211yescharacteristic
52C2×C4×C22⋊D17C2211yescharacteristic
53C2×C4×C22⋊D17C2211yescharacteristic, complemented
54C2×#10587612C2211yescharacteristic, complemented
55C2×#10587558C2211yescharacteristic
56C22×#63227C2211yescharacteristic
57C22×#63227C2211yescharacteristic
58C22×C4×Dic17C2211yescharacteristic
59#11762748C2211yescharacteristic, complemented
60#11762748C2211yescharacteristic, complemented
61#11762747C2211yescharacteristic, complemented
62#11762744C2211yescharacteristic
63#11762742C2211yescharacteristic, complemented
64#11762742C2211yescharacteristic, complemented
65#11762742C2211yescharacteristic, complemented
66#11762737C2211yescharacteristic, complemented
67#11762735C2211yescharacteristic
68#11762735C2211yescharacteristic, complemented
69#11762732C2211yescharacteristic, complemented
70#11762731C2211yescharacteristic
71#11762731C2211yescharacteristic
72#11762731C2211yescharacteristic
73#11762729C2211yescharacteristic, complemented
74#11762728C2211yescharacteristic, complemented
75#11762726C2211yescharacteristic
76#11762726C2211yescharacteristic
77#11762726C2211yescharacteristic
78#11762725C2211yescharacteristic
79#11762724C2211yescharacteristic
80#11762724C2211yescharacteristic
81#11762724C2211yescharacteristic, complemented
82#11762723C2211yescharacteristic, complemented
83#11762721C2211yescharacteristic, complemented
84#11762720C2211yescharacteristic
85#11762720C2211yescharacteristic
86#11762720C2211yescharacteristic, complemented
87#11762718C2211yescharacteristic
88#11762717C2211yescharacteristic
89#11762717C2211yescharacteristic
90#11762717C2211yescharacteristic, complemented
91#11762715C2211yescharacteristic, complemented
92#11762715C2211yescharacteristic, complemented
93#11762711C2211yescharacteristic
94#11762711C2211yescharacteristic
95#11762711C2211yescharacteristic
96#11762709C2211yescharacteristic, complemented
97#11762707C2211yescharacteristic, complemented
98#11762704C2211yescharacteristic, complemented
99#11762703C2211yescharacteristic, complemented
100#11762702C2211yescharacteristic, complemented
101#11762702C2211yescharacteristic, complemented
102#11762700C2211yescharacteristic
103#11762700C2211yescharacteristic
104#11762700C2211yescharacteristic
105#11762700C2211yescharacteristic
106#11762700C2211yescharacteristic
107#11762700C2211yescharacteristic, complemented
108#11762700C2211yescharacteristic, complemented
109#11762700C2211yescharacteristic, complemented
110#11762699C2211yescharacteristic, complemented
111#11762695C2211yescharacteristic, complemented
112#11762695C2211yescharacteristic, complemented
113#11762693C2211yescharacteristic, complemented
114#11762693C2211yescharacteristic, complemented
115#11762693C2211yescharacteristic, complemented
116#11762693C2211yescharacteristic, complemented
117#11762693C2211yescharacteristic, complemented
118#11762693C2211yescharacteristic, complemented
119#11762689C2211yescharacteristic
120#11762689C2211yescharacteristic
121#11762689C2211yescharacteristic
122#11762689C2211yescharacteristic
123#11762688C2211yescharacteristic
124#11762688C2211yescharacteristic
125#11762688C2211yescharacteristic
126#11762688C2211yescharacteristic
127#11762688C2211yescharacteristic
128#11762688C2211yescharacteristic
129#11762688C2211yescharacteristic
130#11762688C2211yescharacteristic, complemented
131#11762688C2211yescharacteristic, complemented
132#11762688C2211yescharacteristic, complemented
133#11762686C2211yescharacteristic
134#11762685C2211yescharacteristic
135#11762685C2211yescharacteristic
136#11762684C2211yescharacteristic
137#11762684C2211yescharacteristic
138#11762682C2211yescharacteristic
139#11762682C2211yescharacteristic, complemented
140#11762682C2211yescharacteristic, complemented
141#11762682C2211yescharacteristic, complemented
142#11762681C2211yescharacteristic
143#11762680C2211yescharacteristic
144#11762680C2211yescharacteristic
145#11762672C2211yescharacteristic
146#11762672C2211yescharacteristic, complemented
147#11762669C2211yescharacteristic, complemented
148#11762667C2211yescharacteristic
149#11762664C2211yescharacteristic
150C4×#63225C2211yescharacteristic, complemented
151C4×#63225C2211yescharacteristic, complemented
152C4×#63225C2211yescharacteristic, complemented
153C4×C4⋊Dic17C2211yescharacteristic, complemented
154C4×#63227C2211yescharacteristic
155C4×#63227C2211yescharacteristic
156C4×#63227C2211yescharacteristic
157C4×#63227C2211yescharacteristic
158C4×#63227C2211yescharacteristic
159C4×#63227C2211yescharacteristic
160C4×#63227C2211yescharacteristic
161C4×#63227C2211yescharacteristic
162C4×#63227C2211yescharacteristic
163C4×#63227C2211yescharacteristic
164C4×#63227C2211yescharacteristic, complemented
165C4×#63227C2211yescharacteristic, complemented
166C4×#63227C2211yescharacteristic, complemented
167C4×C22⋊Dic17C2211yescharacteristic
168C4×C22⋊Dic17C2211yescharacteristic, complemented
169C4×C22⋊Dic17C2211yescharacteristic, complemented
170#11762655C2211yescharacteristic, complemented
171C2×#10587502C2211yescharacteristic
172C2×#10587502C2211yescharacteristic
173C22×#41×C17C2211yescharacteristic
174C4×#41×C17—28no—
175C2×C4×Q8×C17C2211yescharacteristic, complemented
176C2×C4×Q8×C17C2211yescharacteristic, complemented
177C2×C4×D4×C17C2211yescharacteristic
178C2×C4×D4×C17C2211yescharacteristic
179C2×C4×D4×C17C2211yescharacteristic
180C2×C4×D4×C17C2211yescharacteristic
181C2×C4×D4×C17C2211yescharacteristic, complemented
182C2×C4×D4×C17C2211yescharacteristic, complemented
183C2×C17×#117C2211yescharacteristic
184C2×C17×#117C2211yescharacteristic, complemented
185C2×C17×#117C2211yescharacteristic, complemented
186C22×C42×C17C2211yescharacteristic
187C22×C42×C17C2211yescharacteristic, complemented
188C22×C42×C17C2211yescharacteristic, complemented
189C24×D17C2311yescharacteristic
190C2×#41×C17—24no—
191C2×#41×C17—24no—
192C2×#41×C17—24no—
193C22×Q8×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C23×C4×C17C2311yescharacteristic
198C23×C4×C17C2311yescharacteristic
199C23×C4×C17C2311yescharacteristic
200C23×C4×C17C2311yescharacteristic
201C23×C4×C17C2311yescharacteristic
202C23×C4×C17C2311yescharacteristic
203C23×C4×C17C2311yescharacteristic
204C23×C4×C17C2311yescharacteristic
205C23×C4×C17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C22×C22⋊D17C2311yescharacteristic
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic
212C22×C22⋊D17C2311yescharacteristic
213C23×Dic17C2311yescharacteristic
214C23×Dic17C2311yescharacteristic
215C23×Dic17C2311yescharacteristic
216C2×#63252—24no—
217C2×#63252—24no—
218C2×#63252—42no—
219C22×D68C2311yescharacteristic
220C22×D68C2311yescharacteristic
221C22×C4×D17—24no—
222C22×C4×D17—24no—
223C22×C4×D17—42no—
224C22×C4×D17C2311yescharacteristic
225C22×C4×D17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×C4×D17C2311yescharacteristic
228C22×C4×D17C2311yescharacteristic
229C22×Dic34C2311yescharacteristic
230C4×Q8×C17—24no—
231C4×Q8×C17—24no—
232C4×D4×C17—24no—
233C4×D4×C17—24no—
234C4×D4×C17—24no—
235C4×D4×C17—24no—
236C4×D4×C17—24no—
237C4×D4×C17D418yescomplemented
238C17×#117—24no—
239C17×#117—24no—
240C17×#117—24no—
241C2×C4⋊C4×C17C2311yescharacteristic
242C2×C4⋊C4×C17C2311yescharacteristic
243C2×C4⋊C4×C17C2311yescharacteristic
244C2×C4⋊C4×C17C2311yescharacteristic
245C2×C4⋊C4×C17C2311yescharacteristic
246C2×C4⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C22⋊C4×C17C2311yescharacteristic
250C2×C22⋊C4×C17C2311yescharacteristic
251C2×C22⋊C4×C17C2311yescharacteristic
252C2×C22⋊C4×C17C2311yescharacteristic
253C2×C42×C17—24no—
254C2×C42×C17—24no—
255C2×C42×C17—24no—
256C2×C42×C17C2311yescharacteristic
257C2×C42×C17C2311yescharacteristic
258C2×C42×C17C2311yescharacteristic
259C2×C42×C17C2311yescharacteristic
260C2×C42×C17C2311yescharacteristic
261C2×C42×C17C2311yescharacteristic
262C2×C42×C17C2311yescharacteristic
263C2×C42×C17C2311yescharacteristic
264C2×C42×C17C2311yescharacteristic
265C2×C42×C17C2311yescharacteristic
266C2×C22⋊Dic17C2311yescharacteristic
267C2×C22⋊Dic17C2311yescharacteristic
268C2×C22⋊Dic17C2311yescharacteristic
269C2×C22⋊Dic17C2311yescharacteristic
270C2×C22⋊Dic17C2311yescharacteristic
271C2×C22⋊Dic17C2311yescharacteristic
272C2×C22⋊Dic17C2311yescharacteristic
273C2×C22⋊Dic17C2311yescharacteristic
274C2×C22⋊Dic17C2311yescharacteristic
275C2×C22⋊Dic17C2311yescharacteristic
276C2×C22⋊Dic17C2311yescharacteristic
277C2×C22⋊Dic17C2311yescharacteristic
278C2×C22⋊Dic17C2311yescharacteristic
279#10587625—24no—
280#10587625—24no—
281#10587623—24no—
282#10587623—24no—
283#10587616—24no—
284#10587615—24no—
285#10587615—24no—
286C4×C22⋊D17—24no—
287C4×C22⋊D17—24no—
288C4×C22⋊D17—24no—
289C4×C22⋊D17—42no—
290C4×C22⋊D17—42no—
291C2×#63227—24no—
292C2×#63227—24no—
293C2×#63227C2311yescharacteristic
294C2×#63227C2311yescharacteristic
295C2×#63227C2311yescharacteristic
296C2×#63227C2311yescharacteristic
297C2×#63227C2311yescharacteristic
298C2×#63227C2311yescharacteristic
299C2×#63227C2311yescharacteristic
300C2×#63227C2311yescharacteristic
301C2×#63227C2311yescharacteristic
302C2×#63227C2311yescharacteristic
303C2×#63227C2311yescharacteristic
304C2×#63227C2311yescharacteristic
305C2×#63227C2311yescharacteristic
306C2×#63227C2311yescharacteristic
307C2×#63227C2311yescharacteristic
308C2×#63227C2311yescharacteristic
309C2×#63227C2311yescharacteristic
310C2×#63227C2311yescharacteristic
311C2×#63227C2311yescharacteristic
312C2×#63227C2311yescharacteristic
313C2×#63227C2311yescharacteristic
314C2×#63227C2311yescharacteristic
315C2×#63227C2311yescharacteristic
316C2×#63227C2311yescharacteristic
317C2×#63227C2311yescharacteristic
318C2×#63227C2311yescharacteristic
319C2×#63227C2311yescharacteristic
320#10587612—42no—
321C2×C4⋊Dic17C2311yescharacteristic
322C2×C4⋊Dic17C2311yescharacteristic
323C2×C4⋊Dic17C2311yescharacteristic
324C2×C4⋊Dic17C2311yescharacteristic
325C2×C4⋊Dic17C2311yescharacteristic
326C2×#63225C2311yescharacteristic
327C2×#63225C2311yescharacteristic
328C2×#63225C2311yescharacteristic
329C2×#63225C2311yescharacteristic
330C2×#63225C2311yescharacteristic
331C2×#63225C2311yescharacteristic
332C2×#63225C2311yescharacteristic
333C2×#63225C2311yescharacteristic
334C2×#63225C2311yescharacteristic
335C2×#63225C2311yescharacteristic
336C2×#63225C2311yescharacteristic
337C2×#63225C2311yescharacteristic
338C2×#63225C2311yescharacteristic
339C2×C4×Dic17—42no—
340C2×C4×Dic17C2311yescharacteristic
341C2×C4×Dic17C2311yescharacteristic
342C2×C4×Dic17C2311yescharacteristic
343C2×C4×Dic17C2311yescharacteristic
344C2×C4×Dic17C2311yescharacteristic
345C2×C4×Dic17C2311yescharacteristic
346C2×C4×Dic17C2311yescharacteristic
347#10587582—24no—
348#10587580—24no—
349#10587570—24no—
350#10587569—24no—
351#10587568—24no—
352#10587564—24no—
353C4×D68—24no—
354#10587558—24no—
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376#10587502C2311yescharacteristic
377#10587502C2311yescharacteristic
378#10587502C2311yescharacteristic
379#10587502C2311yescharacteristic
380#10587502C2311yescharacteristic
381#10587502C2311yescharacteristic
382#10587502C2311yescharacteristic
383#10587502C2311yescharacteristic
384#10587502C2311yescharacteristic
385#10587502C2311yescharacteristic
386#10587502C2311yescharacteristic
387#10587502C2311yescharacteristic
388#10587502C2311yescharacteristic
389#10587502C2311yescharacteristic
390#10587502C2311yescharacteristic
391C24×C17C2411yescharacteristic
392C24×C17C2411yescharacteristic
393C24×C17C2411yescharacteristic
394C23×D17—22no—
395C23×D17—22no—
396C23×D17—22no—
397C23×D17—22no—
398C23×D17—22no—
399C23×D17—41no—
400C23×D17—41no—
401C23×D17C2411yescharacteristic
402C23×D17C2411yescharacteristic
403C23×D17C2411yescharacteristic
404#41×C17—232no—
405C2×Q8×C17—22no—
406C2×Q8×C17—22no—
407C2×Q8×C17—22no—
408C2×D4×C17—22no—
409C2×D4×C17—22no—
410C2×D4×C17—22no—
411C2×D4×C17—22no—
412C2×D4×C17—22no—
413C2×D4×C17—22no—
414C2×D4×C17—22no—
415C2×D4×C17C2×D414yes—
416C2×D4×C17#4114yescomplemented
417C22×C4×C17—22no—
418C22×C4×C17—22no—
419C22×C4×C17—22no—
420C22×C4×C17—22no—
421C22×C4×C17—22no—
422C22×C4×C17—22no—
423C22×C4×C17—22no—
424C22×C4×C17—22no—
425C22×C4×C17—22no—
426C22×C4×C17—22no—
427C22×C4×C17—22no—
428C22×C4×C17—22no—
429C22×C4×C17—22no—
430C22×C4×C17—22no—
431C22×C4×C17—22no—
432C22×C4×C17—22no—
433C22×C4×C17—22no—
434C22×C4×C17—22no—
435C22×C4×C17—22no—
436C22×C4×C17—22no—
437C22×C4×C17—22no—
438C22×C4×C17—41no—
439C22×C4×C17—41no—
440C22×C4×C17—41no—
441C22×C4×C17C2×D414yes—
442C22×C4×C17C2×D414yes—
443C22×C4×C17#4114yescomplemented
444C22×C4×C17C2411yescharacteristic
445C22×C4×C17C2411yescharacteristic
446C22×C4×C17C2411yescharacteristic
447C22×C4×C17C2411yescharacteristic
448C22×C4×C17C2411yescharacteristic
449C22×C4×C17C2411yescharacteristic
450C22×C4×C17C2411yescharacteristic
451C22×C4×C17C2411yescharacteristic
452C22×C4×C17C2411yescharacteristic
453C22×C4×C17C2411yescharacteristic
454C22×C4×C17C2411yescharacteristic
455C22×C4×C17C2411yescharacteristic
456C2×C22⋊D17—22no—
457C2×C22⋊D17—22no—
458C2×C22⋊D17—22no—
459C2×C22⋊D17—22no—
460C2×C22⋊D17—22no—
461C2×C22⋊D17—22no—
462C2×C22⋊D17—22no—
463C2×C22⋊D17—22no—
464C2×C22⋊D17—22no—
465C2×C22⋊D17—22no—
466C2×C22⋊D17—22no—
467C2×C22⋊D17—22no—
468C2×C22⋊D17—22no—
469C2×C22⋊D17—22no—
470C2×C22⋊D17—22no—
471C2×C22⋊D17—41no—
472C2×C22⋊D17—41no—
473C2×C22⋊D17—41no—
474C2×C22⋊D17—41no—
475C2×C22⋊D17—41no—
476C2×C22⋊D17—41no—
477C22×Dic17—22no—
478C22×Dic17—22no—
479C22×Dic17—22no—
480C22×Dic17—22no—
481C22×Dic17—22no—
482C22×Dic17—41no—
483C22×Dic17—41no—
484C22×Dic17—41no—
485C22×Dic17—41no—
486C22×Dic17C2411yescharacteristic
487C22×Dic17C2411yescharacteristic
488C22×Dic17C2411yescharacteristic
489C22×Dic17C2411yescharacteristic
490C22×Dic17C2411yescharacteristic
491C22×Dic17C2411yescharacteristic
492C22×Dic17C2411yescharacteristic
493C22×Dic17C2411yescharacteristic
494C22×Dic17C2411yescharacteristic
495C22×Dic17C2411yescharacteristic
496C22×Dic17C2411yescharacteristic
497C22×Dic17C2411yescharacteristic
498C22×Dic17C2411yescharacteristic
499#63252—416no—
500C2×D68—22no—
501C2×D68—22no—
502C2×D68—22no—
503C2×D68—22no—
504C2×D68—41no—
505C2×D68—41no—
506C2×C4×D17—22no—
507C2×C4×D17—22no—
508C2×C4×D17—22no—
509C2×C4×D17—22no—
510C2×C4×D17—22no—
511C2×C4×D17—22no—
512C2×C4×D17—22no—
513C2×C4×D17—22no—
514C2×C4×D17—22no—
515C2×C4×D17—22no—
516C2×C4×D17—22no—
517C2×C4×D17—22no—
518C2×C4×D17—416no—
519C2×C4×D17—41no—
520C2×C4×D17—41no—
521C2×C4×D17#4114yescomplemented
522C2×Dic34—22no—
523C2×Dic34—22no—
524C2×Dic34—41no—
525C4⋊C4×C17—22no—
526C4⋊C4×C17—22no—
527C4⋊C4×C17—22no—
528C4⋊C4×C17—22no—
529C4⋊C4×C17—22no—
530C4⋊C4×C17C2×D414yes—
531C22⋊C4×C17—22no—
532C22⋊C4×C17—22no—
533C22⋊C4×C17—22no—
534C22⋊C4×C17—22no—
535C22⋊C4×C17C2×D414yes—
536C22⋊C4×C17C2×D414yes—
537C42×C17—22no—
538C42×C17—22no—
539C42×C17—22no—
540C42×C17—22no—
541C42×C17—22no—
542C42×C17—22no—
543C42×C17—22no—
544C42×C17—22no—
545C42×C17—22no—
546C42×C17C2×D414yes—
547C22⋊Dic17—22no—
548C22⋊Dic17—22no—
549C22⋊Dic17—22no—
550C22⋊Dic17—22no—
551C22⋊Dic17—22no—
552C22⋊Dic17—22no—
553C22⋊Dic17—22no—
554C22⋊Dic17—41no—
555C22⋊Dic17—41no—
556C22⋊Dic17—41no—
557C22⋊Dic17—41no—
558C22⋊Dic17—41no—
559C22⋊Dic17—41no—
560#63227—22no—
561#63227—22no—
562#63227—22no—
563#63227—22no—
564#63227—22no—
565#63227—22no—
566#63227—22no—
567#63227—22no—
568#63227—22no—
569#63227—22no—
570#63227—22no—
571#63227—22no—
572#63227—22no—
573#63227—22no—
574#63227—22no—
575#63227—22no—
576#63227—22no—
577#63227—22no—
578#63227—22no—
579#63227—22no—
580#63227—22no—
581#63227—41no—
582#63227—41no—
583#63227—41no—
584#63227—41no—
585#63227—41no—
586#63227#4114yescomplemented
587C4⋊Dic17—22no—
588C4⋊Dic17—22no—
589C4⋊Dic17—41no—
590C4⋊Dic17—41no—
591C4⋊Dic17—41no—
592#63225—22no—
593#63225—22no—
594#63225—22no—
595#63225—22no—
596#63225—22no—
597#63225—22no—
598#63225—22no—
599#63225—22no—
600#63225—22no—
601#63225—22no—
602#63225—41no—
603#63225—41no—
604#63225—41no—
605C4×Dic17—22no—
606C4×Dic17—22no—
607C4×Dic17—22no—
608C4×Dic17—22no—
609C4×Dic17—22no—
610C4×Dic17—41no—
611C4×Dic17—41no—
612#34732—171nomaximal, Sylow
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—21no—
622C23×C17—21no—
623C23×C17—21no—
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17C22×D412yes—
630C23×C17C22×D412yes—
631C23×C17C2×#4112yes—
632C23×C17C2×#4112yes—
633C23×C17C2×#4112yes—
634C23×C17C2511yescharacteristic
635C22×D17—28no—
636C22×D17—21no—
637C22×D17—21no—
638C22×D17—21no—
639C22×D17—21no—
640C22×D17—21no—
641C22×D17—21no—
642C22×D17—21no—
643C22×D17—21no—
644C22×D17—21no—
645C22×D17—21no—
646C22×D17—21no—
647C22×D17—21no—
648C22×D17—21no—
649C22×D17—21no—
650C22×D17—21no—
651C22×D17—21no—
652C22×D17—21no—
653C22×D17—21no—
654C22×D17—21no—
655C22×D17—44no—
656C22×D17—44no—
657C22×D17—44no—
658C22×D17—44no—
659C22×D17—44no—
660C22×D17—44no—
661C22×D17C2×#4112yes—
662C22×D17C2×#4112yes—
663Q8×C17—28no—
664D4×C17—28no—
665D4×C17—28no—
666D4×C17—28no—
667C2×C4×C17—28no—
668C2×C4×C17—28no—
669C2×C4×C17—28no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—28no—
687C2×C4×C17—28no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—44no—
698C2×C4×C17—44no—
699C2×C4×C17—44no—
700C2×C4×C17—44no—
701C2×C4×C17C22×D412yes—
702C2×C4×C17C22×D412yes—
703C2×C4×C17C22×D412yes—
704C2×C4×C17C22×D412yes—
705C2×C4×C17C22×D412yes—
706C2×C4×C17C2×#4112yes—
707C2×C4×C17C2×#4112yes—
708C2×C4×C17C2×#4112yes—
709C2×C4×C17C2×#4112yes—
710C2×C4×C17C2×#4112yes—
711C2×C4×C17H(5,𝔽2)12yes—
712C22⋊D17—44no—
713C22⋊D17—44no—
714C22⋊D17—44no—
715C22⋊D17—44no—
716C22⋊D17—44no—
717C22⋊D17—44no—
718C22⋊D17—44no—
719C2×Dic17—21no—
720C2×Dic17—21no—
721C2×Dic17—21no—
722C2×Dic17—21no—
723C2×Dic17—21no—
724C2×Dic17—21no—
725C2×Dic17—21no—
726C2×Dic17—21no—
727C2×Dic17—21no—
728C2×Dic17—21no—
729C2×Dic17—21no—
730C2×Dic17—21no—
731C2×Dic17—21no—
732C2×Dic17—21no—
733C2×Dic17—21no—
734C2×Dic17—21no—
735C2×Dic17—21no—
736C2×Dic17—21no—
737C2×Dic17—21no—
738C2×Dic17—21no—
739C2×Dic17—21no—
740C2×Dic17—21no—
741C2×Dic17—21no—
742C2×Dic17—21no—
743C2×Dic17—21no—
744C2×Dic17—21no—
745C2×Dic17—21no—
746C2×Dic17—21no—
747C2×Dic17—21no—
748C2×Dic17—21no—
749C2×Dic17—21no—
750C2×Dic17—21no—
751C2×Dic17—21no—
752C2×Dic17—21no—
753C2×Dic17—21no—
754C2×Dic17—21no—
755C2×Dic17—21no—
756C2×Dic17—44no—
757C2×Dic17—44no—
758C2×Dic17—44no—
759C2×Dic17C2×#4112yes—
760C2×Dic17C2×#4112yes—
761D68—44no—
762D68—44no—
763C4×D17—28no—
764C4×D17—44no—
765C4×D17—44no—
766C4×D17—44no—
767C4×D17—44no—
768Dic34—44no—
769C2×#525—171no—
770C2×C4×#41D1711yescharacteristic, complemented
771#2477—171no—
772#2476—171no—
773#2471—171no—
774#2470—171no—
775#2465—171no—
776#2464—171no—
777#2458—171no—
778#2457—171no—
779#2450—171no—
780#2444—171no—
781#2438—171no—
782#2430—171no—
783#2424—171no—
784#2418—171no—
785#2411—171no—
786#2404—171no—
787#2398—171no—
788#2396—171no—
789#2392—171no—
790#2388—171no—
791C4×#123—171no—
792C4×#123—171no—
793C4×#121—171no—
794C4×#121—171no—
795C4×#120—171no—
796#2297—171no—
797#2290—171no—
798#2290—171no—
799C2×C4×C22⋊C4—171no—
800C22×C17—22no—
801C22×C17—22no—
802C22×C17—22no—
803C22×C17—22no—
804C22×C17—22no—
805C22×C17—22no—
806C22×C17—22no—
807C22×C17—22no—
808C22×C17—22no—
809C22×C17—22no—
810C22×C17—22no—
811C22×C17—22no—
812C22×C17—41no—
813C22×C17—41no—
814C22×C17—41no—
815C22×C17—41no—
816C22×C17—41no—
817C22×C17—41no—
818C22×C17—41no—
819C22×C17—41no—
820C22×C17#52514yes—
821C22×C17C23×D411yescharacteristic
822C22×C17C22×#4111yescharacteristic
823C22×C17C22×#4111yescharacteristic
824C22×C17C22×#4111yescharacteristic
825C22×C17C22×#4111yescharacteristic
826C22×C17C2×H(5,𝔽2)11yescharacteristic
827C22×C17#58511yescharacteristic
828C2×D17—22no—
829C2×D17—22no—
830C2×D17—22no—
831C2×D17—22no—
832C2×D17—22no—
833C2×D17—22no—
834C2×D17—416no—
835C2×D17—41no—
836C2×D17—41no—
837C2×D17—41no—
838C2×D17—41no—
839C2×D17—41no—
840C2×D17—41no—
841C2×D17—41no—
842C2×D17—41no—
843C2×D17—41no—
844C2×D17—41no—
845C2×D17—41no—
846C2×D17—41no—
847C2×D17—41no—
848C2×D17—41no—
849C2×D17—41no—
850C4×C17—22no—
851C4×C17—22no—
852C4×C17—22no—
853C4×C17—22no—
854C4×C17—22no—
855C4×C17—22no—
856C4×C17—22no—
857C4×C17—22no—
858C4×C17—41no—
859C4×C17—41no—
860C4×C17—41no—
861C4×C17#54614yes—
862Dic17—22no—
863Dic17—22no—
864Dic17—41no—
865Dic17—41no—
866Dic17—41no—
867Dic17—41no—
868Dic17—41no—
869Dic17—41no—
870Dic17—41no—
871Dic17—41no—
872Dic17—41no—
873Dic17—41no—
874Dic17—41no—
875C22×#41—171no—
876C22×#41C2×D1711yescharacteristic
877C24×C4—171no—
878#525—348no—
879C2×#123—171no—
880C2×#123—171no—
881C2×#123—171no—
882C2×#123—171no—
883C2×C22⋊Q8—171no—
884C2×C22⋊Q8—171no—
885C2×#121—171no—
886C2×#121—171no—
887C2×#121—171no—
888C2×#121—171no—
889C2×#120—171no—
890C2×#120—171no—
891C2×#120—171no—
892C4×#41—28no—
893C2×C4×Q8C2×D1711yescharacteristic, complemented
894C2×C4×Q8C2×D1711yescharacteristic, complemented
895C2×C4×D4—171no—
896C2×C4×D4—171no—
897C2×C4×D4—171no—
898C2×C4×D4—171no—
899C2×C4×D4—171no—
900C2×C4×D4—171no—
901C2×C4×D4C2×D1711yescharacteristic
902C2×C4×D4C2×D1711yescharacteristic
903C2×C4×D4C2×D1711yescharacteristic
904C2×C4×D4C2×D1711yescharacteristic
905C2×C4×D4C2×D1711yescharacteristic, complemented
906C2×C4×D4C2×D1711yescharacteristic, complemented
907C2×#117—171no—
908C2×#117—171no—
909C2×#117C2×D1711yescharacteristic
910C2×#117C2×D1711yescharacteristic, complemented
911C2×#117C2×D1711yescharacteristic, complemented
912C22×C22⋊C4—171no—
913C22×C22⋊C4—171no—
914C22×C42—171no—
915C22×C42C2×D1711yescharacteristic
916C22×C42C2×D1711yescharacteristic, complemented
917C22×C42C2×D1711yescharacteristic, complemented
918#400—171no—
919#400—171no—
920#400—171no—
921#399—171no—
922#398—171no—
923#398—171no—
924#398—171no—
925#397—171no—
926#397—171no—
927#397—171no—
928#396—171no—
929#396—171no—
930#396—171no—
931#396—171no—
932#395—171no—
933#395—171no—
934#394—171no—
935#394—171no—
936#394—171no—
937#394—171no—
938#394—171no—
939#394—171no—
940#394—171no—
941#394—171no—
942#393—171no—
943#393—171no—
944#393—171no—
945#393—171no—
946#392—171no—
947#392—171no—
948#392—171no—
949#392—171no—
950#391—171no—
951#391—171no—
952#390—171no—
953#390—171no—
954#390—171no—
955#390—171no—
956#389—171no—
957#389—171no—
958#388—171no—
959#388—171no—
960#388—171no—
961#388—171no—
962#388—171no—
963#388—171no—
964#388—171no—
965#388—171no—
966#388—171no—
967#388—171no—
968#388—171no—
969#388—171no—
970#387—171no—
971#387—171no—
972#387—171no—
973#387—171no—
974#387—171no—
975#387—171no—
976#387—171no—
977#387—171no—
978#386—171no—
979#386—171no—
980#386—171no—
981#386—171no—
982#386—171no—
983#386—171no—
984#386—171no—
985#386—171no—
986#386—171no—
987#386—171no—
988#386—171no—
989#386—171no—
990#386—171no—
991#386—171no—
992#386—171no—
993#386—171no—
994#386—171no—
995#385—171no—
996#385—171no—
997#385—171no—
998#385—171no—
999#385—171no—
1000#385—171no—
1001#385—171no—
1002#385—171no—
1003#385—171no—
1004#381—171no—
1005#381—171no—
1006#380—171no—
1007#380—171no—
1008#379—171no—
1009C4×C4⋊C4—171no—
1010C4×C4⋊C4—171no—
1011C4×C4⋊C4—171no—
1012C4×C4⋊C4—171no—
1013C4×C22⋊C4—171no—
1014C4×C22⋊C4—171no—
1015C4×C22⋊C4—171no—
1016C4×C22⋊C4—171no—
1017C4×C22⋊C4—171no—
1018C4×C22⋊C4—171no—
1019C4×C22⋊C4—171no—
1020C4×C22⋊C4—171no—
1021C4×C22⋊C4—171no—
1022C4×C22⋊C4—171no—
1023C4×C22⋊C4—171no—
1024C4×C22⋊C4—171no—
1025C4×C22⋊C4—171no—
1026C4×C22⋊C4—171no—
1027C4×C22⋊C4—171no—
1028C4×C22⋊C4—171no—
1029#376—171no—
1030C2×#95—171no—
1031C2×#95—171no—
1032C2×C17—24no—
1033C2×C17—42no—
1034C2×C17—42no—
1035C2×C17C2×#52511yescharacteristic
1036C2×C17#344411yescharacteristic
1037C2×C17#346011yescharacteristic
1038C2×C17C2×#54611yescharacteristic
1039C2×C17D4×#4111yescharacteristic
1040C2×C17#347511yescharacteristic
1041C2×C17#348111yescharacteristic
1042D17—42no—
1043D17—42no—
1044D17—81no—
1045C25—171no—
1046C2×#41—24no—
1047C2×#41—24no—
1048C2×#41—24no—
1049C2×#41—344no—
1050C2×#41—344no—
1051C2×#41—682no—
1052C22×Q8—171no—
1053C22×Q8C22×D1711yescharacteristic
1054C22×D4—171no—
1055C22×D4—171no—
1056C22×D4—171no—
1057C22×D4—171no—
1058C22×D4—171no—
1059C22×D4—171no—
1060C22×D4—171no—
1061C22×D4—171no—
1062C22×D4—171no—
1063C22×D4C22×D1711yescharacteristic
1064C22×D4C22×D1711yescharacteristic
1065C22×D4C22×D1711yescharacteristic
1066C23×C4—171no—
1067C23×C4—171no—
1068C23×C4—171no—
1069C23×C4—171no—
1070C23×C4—171no—
1071C23×C4—171no—
1072C23×C4—171no—
1073C23×C4—171no—
1074C23×C4—344no—
1075C23×C4—344no—
1076C23×C4—682no—
1077C23×C4C22×D1711yescharacteristic
1078C23×C4C22×D1711yescharacteristic
1079C23×C4C22×D1711yescharacteristic
1080C23×C4C22×D1711yescharacteristic
1081C23×C4C22×D1711yescharacteristic
1082C23×C4C22×D1711yescharacteristic
1083C23×C4C22×D1711yescharacteristic
1084C23×C4C22×D1711yescharacteristic
1085C23×C4C22×D1711yescharacteristic
1086#123—344no—
1087#123—344no—
1088#123—344no—
1089#123—344no—
1090C22⋊Q8—344no—
1091C22⋊Q8—344no—
1092#121—344no—
1093#121—344no—
1094#121—344no—
1095#121—344no—
1096#120—344no—
1097#120—344no—
1098#120—344no—
1099C4×Q8—24no—
1100C4×Q8—24no—
1101C4×D4—24no—
1102C4×D4—24no—
1103C4×D4—24no—
1104C4×D4—24no—
1105C4×D4—24no—
1106C4×D4—344no—
1107C4×D4—344no—
1108C4×D4—344no—
1109C4×D4—344no—
1110C4×D4—682no—
1111C4×D4—682no—
1112C4×D4C22⋊D1718yescomplemented
1113#117—24no—
1114#117—24no—
1115#117—24no—
1116#117—344no—
1117#117—682no—
1118C2×C4⋊C4—171no—
1119C2×C4⋊C4—171no—
1120C2×C4⋊C4—171no—
1121C2×C4⋊C4—171no—
1122C2×C4⋊C4—171no—
1123C2×C4⋊C4—171no—
1124C2×C4⋊C4—171no—
1125C2×C4⋊C4—171no—
1126C2×C4⋊C4—171no—
1127C2×C4⋊C4—171no—
1128C2×C4⋊C4—171no—
1129C2×C4⋊C4—171no—
1130C2×C4⋊C4—171no—
1131C2×C4⋊C4—171no—
1132C2×C4⋊C4—171no—
1133C2×C4⋊C4—171no—
1134C2×C4⋊C4—171no—
1135C2×C4⋊C4—171no—
1136C2×C4⋊C4C22×D1711yescharacteristic
1137C2×C4⋊C4C22×D1711yescharacteristic
1138C2×C4⋊C4C22×D1711yescharacteristic
1139C2×C4⋊C4C22×D1711yescharacteristic
1140C2×C4⋊C4C22×D1711yescharacteristic
1141C2×C4⋊C4C22×D1711yescharacteristic
1142C2×C22⋊C4—171no—
1143C2×C22⋊C4—171no—
1144C2×C22⋊C4—171no—
1145C2×C22⋊C4—171no—
1146C2×C22⋊C4—171no—
1147C2×C22⋊C4—171no—
1148C2×C22⋊C4—171no—
1149C2×C22⋊C4—171no—
1150C2×C22⋊C4—171no—
1151C2×C22⋊C4—171no—
1152C2×C22⋊C4—171no—
1153C2×C22⋊C4—171no—
1154C2×C22⋊C4—171no—
1155C2×C22⋊C4—171no—
1156C2×C22⋊C4—171no—
1157C2×C22⋊C4—171no—
1158C2×C22⋊C4—171no—
1159C2×C22⋊C4—171no—
1160C2×C22⋊C4—171no—
1161C2×C22⋊C4—171no—
1162C2×C22⋊C4—171no—
1163C2×C22⋊C4—171no—
1164C2×C22⋊C4—171no—
1165C2×C22⋊C4—171no—
1166C2×C22⋊C4—171no—
1167C2×C22⋊C4—171no—
1168C2×C22⋊C4—171no—
1169C2×C22⋊C4—171no—
1170C2×C22⋊C4—171no—
1171C2×C22⋊C4—171no—
1172C2×C22⋊C4—171no—
1173C2×C22⋊C4—171no—
1174C2×C22⋊C4—171no—
1175C2×C22⋊C4—171no—
1176C2×C22⋊C4—171no—
1177C2×C22⋊C4—171no—
1178C2×C22⋊C4—171no—
1179C2×C22⋊C4—171no—
1180C2×C22⋊C4—171no—
1181C2×C22⋊C4—171no—
1182C2×C22⋊C4—344no—
1183C2×C22⋊C4—344no—
1184C2×C22⋊C4C22×D1711yescharacteristic
1185C2×C22⋊C4C22×D1711yescharacteristic
1186C2×C22⋊C4C22×D1711yescharacteristic
1187C2×C22⋊C4C22×D1711yescharacteristic
1188C2×C22⋊C4C22×D1711yescharacteristic
1189C2×C22⋊C4C22×D1711yescharacteristic
1190C2×C42—24no—
1191C2×C42—24no—
1192C2×C42—24no—
1193C2×C42—171no—
1194C2×C42—171no—
1195C2×C42—171no—
1196C2×C42—171no—
1197C2×C42—171no—
1198C2×C42—171no—
1199C2×C42—171no—
1200C2×C42—682no—
1201C2×C42C22×D1711yescharacteristic
1202C2×C42C22×D1711yescharacteristic
1203C2×C42C22×D1711yescharacteristic
1204C2×C42C22×D1711yescharacteristic
1205C2×C42C22×D1711yescharacteristic
1206C2×C42C22×D1711yescharacteristic
1207C2×C42C22×D1711yescharacteristic
1208C2×C42C22×D1711yescharacteristic
1209C2×C42C22×D1711yescharacteristic
1210C2×C42C22×D1711yescharacteristic
1211#95—171no—
1212#95—171no—
1213#95—171no—
1214#95—171no—
1215#95—171no—
1216#95—171no—
1217#95—171no—
1218#95—171no—
1219#95—171no—
1220#95—171no—
1221#95—171no—
1222#95—171no—
1223#95—171no—
1224#95—171no—
1225#95—171no—
1226#95—171no—
1227#95—171no—
1228#95—171no—
1229#95—171no—
1230#95—171no—
1231#95—171no—
1232#95—171no—
1233#95—171no—
1234#95—171no—
1235#95—171no—
1236#95—171no—
1237#95—171no—
1238#95—171no—
1239#95—171no—
1240#95—171no—
1241#95—171no—
1242#95—171no—
1243#95—171no—
1244#95—171no—
1245#95—171no—
1246#95—171no—
1247C17#3473211yescharacteristic, complemented, Sylow
1248C24—171no—
1249C24—171no—
1250C24—171no—
1251C24—342no—
1252C24—342no—
1253C24—342no—
1254C24—342no—
1255C24—342no—
1256C24—681no—
1257C24—681no—
1258C24C23×D1711yescharacteristic
1259C24C23×D1711yescharacteristic
1260C24C23×D1711yescharacteristic
1261#41—232no—
1262#41—6816no—
1263C2×Q8—22no—
1264C2×Q8—22no—
1265C2×Q8—22no—
1266C2×Q8—342no—
1267C2×Q8—342no—
1268C2×Q8—681no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—342no—
1277C2×D4—342no—
1278C2×D4—342no—
1279C2×D4—342no—
1280C2×D4—342no—
1281C2×D4—342no—
1282C2×D4—342no—
1283C2×D4—342no—
1284C2×D4—342no—
1285C2×D4—342no—
1286C2×D4—342no—
1287C2×D4—342no—
1288C2×D4—342no—
1289C2×D4—342no—
1290C2×D4—342no—
1291C2×D4—342no—
1292C2×D4—342no—
1293C2×D4—342no—
1294C2×D4—342no—
1295C2×D4—681no—
1296C2×D4—681no—
1297C2×D4—681no—
1298C2×D4—681no—
1299C2×D4—681no—
1300C2×D4—681no—
1301C2×D4—681no—
1302C2×D4—681no—
1303C2×D4#6325214yescomplemented
1304C2×D4C2×C22⋊D1714yes—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—171no—
1330C22×C4—171no—
1331C22×C4—174no—
1332C22×C4—171no—
1333C22×C4—171no—
1334C22×C4—171no—
1335C22×C4—171no—
1336C22×C4—171no—
1337C22×C4—171no—
1338C22×C4—171no—
1339C22×C4—171no—
1340C22×C4—171no—
1341C22×C4—171no—
1342C22×C4—171no—
1343C22×C4—342no—
1344C22×C4—342no—
1345C22×C4—342no—
1346C22×C4—342no—
1347C22×C4—342no—
1348C22×C4—342no—
1349C22×C4—342no—
1350C22×C4—342no—
1351C22×C4—342no—
1352C22×C4—342no—
1353C22×C4—342no—
1354C22×C4—342no—
1355C22×C4—342no—
1356C22×C4—342no—
1357C22×C4—342no—
1358C22×C4—342no—
1359C22×C4—342no—
1360C22×C4—681no—
1361C22×C4—681no—
1362C22×C4—6816no—
1363C22×C4—681no—
1364C22×C4—681no—
1365C22×C4—681no—
1366C22×C4—681no—
1367C22×C4#6325214yescomplemented
1368C22×C4C2×C22⋊D1714yes—
1369C22×C4C2×C22⋊D1714yes—
1370C22×C4C23×D1711yescharacteristic
1371C22×C4C23×D1711yescharacteristic
1372C22×C4C23×D1711yescharacteristic
1373C22×C4C23×D1711yescharacteristic
1374C22×C4C23×D1711yescharacteristic
1375C22×C4C23×D1711yescharacteristic
1376C22×C4C23×D1711yescharacteristic
1377C22×C4C23×D1711yescharacteristic
1378C22×C4C23×D1711yescharacteristic
1379C22×C4C23×D1711yescharacteristic
1380C22×C4C23×D1711yescharacteristic
1381C22×C4C23×D1711yescharacteristic
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—342no—
1388C4⋊C4—342no—
1389C4⋊C4—342no—
1390C4⋊C4—342no—
1391C4⋊C4—342no—
1392C4⋊C4—342no—
1393C4⋊C4—342no—
1394C4⋊C4—342no—
1395C4⋊C4—342no—
1396C4⋊C4—342no—
1397C4⋊C4—342no—
1398C4⋊C4—342no—
1399C4⋊C4—681no—
1400C4⋊C4—681no—
1401C4⋊C4—681no—
1402C4⋊C4—681no—
1403C4⋊C4—681no—
1404C4⋊C4—681no—
1405C4⋊C4C2×C22⋊D1714yes—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—174no—
1411C22⋊C4—342no—
1412C22⋊C4—342no—
1413C22⋊C4—342no—
1414C22⋊C4—342no—
1415C22⋊C4—342no—
1416C22⋊C4—342no—
1417C22⋊C4—342no—
1418C22⋊C4—342no—
1419C22⋊C4—342no—
1420C22⋊C4—342no—
1421C22⋊C4—342no—
1422C22⋊C4—342no—
1423C22⋊C4—342no—
1424C22⋊C4—342no—
1425C22⋊C4—342no—
1426C22⋊C4—342no—
1427C22⋊C4—342no—
1428C22⋊C4—342no—
1429C22⋊C4—342no—
1430C22⋊C4—342no—
1431C22⋊C4—342no—
1432C22⋊C4—342no—
1433C22⋊C4—342no—
1434C22⋊C4—342no—
1435C22⋊C4—342no—
1436C22⋊C4—342no—
1437C22⋊C4—342no—
1438C22⋊C4—342no—
1439C22⋊C4—681no—
1440C22⋊C4—681no—
1441C22⋊C4—681no—
1442C22⋊C4—681no—
1443C22⋊C4—681no—
1444C22⋊C4—681no—
1445C22⋊C4—681no—
1446C22⋊C4—681no—
1447C22⋊C4—681no—
1448C22⋊C4—681no—
1449C22⋊C4—681no—
1450C22⋊C4C2×C22⋊D1714yes—
1451C22⋊C4C2×C22⋊D1714yes—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—342no—
1462C42—342no—
1463C42—342no—
1464C42—342no—
1465C42—342no—
1466C42—681no—
1467C42—681no—
1468C42C2×C22⋊D1714yes—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—172no—
1486C23—172no—
1487C23—348no—
1488C23—341no—
1489C23—341no—
1490C23—341no—
1491C23—341no—
1492C23—341no—
1493C23—341no—
1494C23—341no—
1495C23—341no—
1496C23—341no—
1497C23—341no—
1498C23—341no—
1499C23—341no—
1500C23—341no—
1501C23—341no—
1502C23—341no—
1503C23—341no—
1504C23—341no—
1505C23—341no—
1506C23—341no—
1507C23—684no—
1508C23—684no—
1509C23—684no—
1510C23—684no—
1511C23—684no—
1512C23—684no—
1513C23C2×#6325212yes—
1514C23C2×#6325212yes—
1515C23C2×#6325212yes—
1516C23C22×C22⋊D1712yes—
1517C23C22×C22⋊D1712yes—
1518C23C24×D1711yescharacteristic
1519Q8—28no—
1520Q8—684no—
1521D4—28no—
1522D4—28no—
1523D4—28no—
1524D4—684no—
1525D4—684no—
1526D4—684no—
1527D4—684no—
1528D4—684no—
1529D4—684no—
1530D4—684no—
1531D4—684no—
1532D4—684no—
1533C2×C4—28no—
1534C2×C4—28no—
1535C2×C4—28no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—28no—
1553C2×C4—28no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—172no—
1568C2×C4—172no—
1569C2×C4—341no—
1570C2×C4—341no—
1571C2×C4—341no—
1572C2×C4—341no—
1573C2×C4—348no—
1574C2×C4—341no—
1575C2×C4—341no—
1576C2×C4—341no—
1577C2×C4—341no—
1578C2×C4—341no—
1579C2×C4—341no—
1580C2×C4—341no—
1581C2×C4—341no—
1582C2×C4—341no—
1583C2×C4—341no—
1584C2×C4—341no—
1585C2×C4—341no—
1586C2×C4—341no—
1587C2×C4—341no—
1588C2×C4—341no—
1589C2×C4—341no—
1590C2×C4—341no—
1591C2×C4—341no—
1592C2×C4—341no—
1593C2×C4—341no—
1594C2×C4—341no—
1595C2×C4—341no—
1596C2×C4—341no—
1597C2×C4—341no—
1598C2×C4—341no—
1599C2×C4—341no—
1600C2×C4—341no—
1601C2×C4—341no—
1602C2×C4—341no—
1603C2×C4—341no—
1604C2×C4—341no—
1605C2×C4—341no—
1606C2×C4—341no—
1607C2×C4—684no—
1608C2×C4—684no—
1609C2×C4—684no—
1610C2×C4—684no—
1611C2×C4—684no—
1612C2×C4—684no—
1613C2×C4—684no—
1614C2×C4C2×#6325212yes—
1615C2×C4C2×#6325212yes—
1616C2×C4C2×#6325212yes—
1617C2×C4#41×D1712yes—
1618C2×C4#41×D1712yes—
1619C2×C4#1058769612yes—
1620C2×C4C22×C22⋊D1712yes—
1621C2×C4C22×C22⋊D1712yes—
1622C2×C4C22×C22⋊D1712yes—
1623C2×C4C22×C22⋊D1712yes—
1624C2×C4C22×C22⋊D1712yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—342no—
1646C22—342no—
1647C22—342no—
1648C22—342no—
1649C22—342no—
1650C22—342no—
1651C22—6816no—
1652C22—681no—
1653C22—681no—
1654C22—681no—
1655C22—681no—
1656C22—681no—
1657C22—681no—
1658C22—681no—
1659C22—681no—
1660C22—681no—
1661C22—681no—
1662C22—681no—
1663C22—681no—
1664C22—681no—
1665C22—681no—
1666C22—681no—
1667C22#1176332014yes—
1668C22C23×C22⋊D1711yescharacteristic
1669C22C2×#41×D1711yescharacteristic
1670C22C2×#41×D1711yescharacteristic
1671C22C22×#6325211yescharacteristic
1672C22C22×#6325211yescharacteristic
1673C22C2×#1058769611yescharacteristic
1674C22#1176364511yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—22no—
1681C4—22no—
1682C4—22no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—342no—
1687C4—342no—
1688C4—681no—
1689C4—681no—
1690C4—681no—
1691C4—681no—
1692C4—681no—
1693C4—681no—
1694C4—681no—
1695C4—681no—
1696C4—681no—
1697C4—681no—
1698C4—681no—
1699C4#1176344714yes—
1700C2—24no—
1701C2—42no—
1702C2—42no—
1703C2—682no—
1704C2—682no—
1705C2—1361no—
1706C2C2×#1176332011yescharacteristic
1707C2#1454207711yescharacteristic
1708C2#1454220011yescharacteristic
1709C2C2×#1176344711yescharacteristic
1710C2#41×C22⋊D1711yescharacteristic
1711C2#1454234611yescharacteristic
1712C2#1454239411yescharacteristic
subgroupG/H
centerC22×C4C23×D17
commutator, socle, cosocleC23×C17C25
FrattiniC23C24×D17
FittingC2×C4×#41×C17C2
hypercenterC2×C4×#41D17
hypocenterC17#34732
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
1. C2×#11763318C2semidirect
2. #14532979C2semidirect
3. #14532964C2semidirect
4. #14532889C2semidirect
5. #14532874C2semidirect
6. #14532799C2semidirect
7. #14532784C2semidirect
8. #14532700C2semidirect
9. #14532685C2semidirect
10. #14532602C2semidirect
11. #14532528C2semidirect
12. #14532454C2semidirect
13. #14532388C2semidirect
14. #14532314C2semidirect
15. #14532240C2semidirect
16. #14532163C2semidirect
17. #14532099C2semidirect
18. #14532067C2semidirect
19. #14532054C2semidirect
20. #14532026C2semidirect
21. #14531999C2semidirect
22. C4×#10587615C2semidirect
23. C4×#10587615C2semidirect
24. C4×#10587616C2semidirect
25. C4×#10587625C2semidirect
26. C4×#10587623C2semidirect
27. #14531274C2semidirect
28. #14531229C2semidirect
29. #14531227C2semidirect
30. C2×C4×#63227C2semidirect
31. C2×C4×#41×C17C2semidirect
53. C2×C4×C22⋊D17C22semidirect
54. C2×#10587612C22semidirect
59. #11762748C22semidirect
60. #11762748C22semidirect
61. #11762747C22semidirect
63. #11762742C22semidirect
64. #11762742C22semidirect
65. #11762742C22semidirect
66. #11762737C22semidirect
68. #11762735C22semidirect
69. #11762732C22semidirect
73. #11762729C22semidirect
74. #11762728C22semidirect
81. #11762724C22semidirect
82. #11762723C22semidirect
83. #11762721C22semidirect
86. #11762720C22semidirect
90. #11762717C22semidirect
91. #11762715C22semidirect
92. #11762715C22semidirect
96. #11762709C22semidirect
97. #11762707C22semidirect
98. #11762704C22semidirect
99. #11762703C22semidirect
100. #11762702C22semidirect
101. #11762702C22semidirect
107. #11762700C22semidirect
108. #11762700C22semidirect
109. #11762700C22semidirect
110. #11762699C22semidirect
111. #11762695C22semidirect
112. #11762695C22semidirect
113. #11762693C22semidirect
114. #11762693C22semidirect
115. #11762693C22semidirect
116. #11762693C22semidirect
117. #11762693C22semidirect
118. #11762693C22semidirect
130. #11762688C22semidirect
131. #11762688C22semidirect
132. #11762688C22semidirect
139. #11762682C22semidirect
140. #11762682C22semidirect
141. #11762682C22semidirect
146. #11762672C22semidirect
147. #11762669C22semidirect
150. C4×#63225C22semidirect
151. C4×#63225C22semidirect
152. C4×#63225C22semidirect
153. C4×C4⋊Dic17C22semidirect
164. C4×#63227C22semidirect
165. C4×#63227C22semidirect
166. C4×#63227C22semidirect
168. C4×C22⋊Dic17C22semidirect
169. C4×C22⋊Dic17C22semidirect
170. #11762655C22semidirect
175. C2×C4×Q8×C17C22semidirect
176. C2×C4×Q8×C17C22semidirect
181. C2×C4×D4×C17C22semidirect
182. C2×C4×D4×C17C22semidirect
184. C2×C17×#117C22semidirect
185. C2×C17×#117C22semidirect
187. C22×C42×C17C22semidirect
188. C22×C42×C17C22semidirect
237. C4×D4×C17D4semidirect
416. C2×D4×C17#41semidirect
443. C22×C4×C17#41semidirect
521. C2×C4×D17#41semidirect
586. #63227#41semidirect
770. C2×C4×#41D17semidirect
893. C2×C4×Q8C2×D17semidirect
894. C2×C4×Q8C2×D17semidirect
905. C2×C4×D4C2×D17semidirect
906. C2×C4×D4C2×D17semidirect
910. C2×#117C2×D17semidirect
911. C2×#117C2×D17semidirect
916. C22×C42C2×D17semidirect
917. C22×C42C2×D17semidirect
1112. C4×D4C22⋊D17semidirect
1247. C17#34732semidirect
1303. C2×D4#63252semidirect
1367. C22×C4#63252semidirect

Maximal subgroups

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

subgroupindex
C2×#117633182
#145329792
#145329642
#145328892
#145328742
#145327992
#145327842
#145327002
#145326852
#145326022
#145325282
#145324542
#145323882
#145323142
#145322402
#145321632
#145320992
#145320672
#145320542
#145320262
#145319992
C4×#105876152
C4×#105876162
C4×#105876252
C4×#105876232
#145312742
#145312292
#145312272
C2×C4×#632272
C2×C4×#41×C172
#3473217