Finite Group Databasebeta

← #17202093

Subgroups — #17202093

Order 4352.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763339C211yesmaximal, characteristic, complemented
2#14533039C211yesmaximal, characteristic, complemented
3#14533024C211yesmaximal, characteristic, complemented
4#14532919C211yesmaximal, characteristic, complemented
5#14532904C211yesmaximal, characteristic, complemented
6#14532829C211yesmaximal, characteristic, complemented
7#14532814C211yesmaximal, characteristic, complemented
8#14532730C211yesmaximal, characteristic, complemented
9#14532715C211yesmaximal, characteristic, complemented
10#14532602C211yesmaximal, characteristic, complemented
11#14532528C211yesmaximal, characteristic, complemented
12#14532445C211yesmaximal, characteristic, complemented
13#14532329C211yesmaximal, characteristic, complemented
14#14532255C211yesmaximal, characteristic, complemented
15#14532174C211yesmaximal, characteristic, complemented
16#14532158C211yesmaximal, characteristic
17#14532107C211yesmaximal, characteristic, complemented
18#14532068C211yesmaximal, characteristic, complemented
19#14532043C211yesmaximal, characteristic, complemented
20#14532026C211yesmaximal, characteristic, complemented
21#14532022C211yesmaximal, characteristic, complemented
22C4×#10587610C211yesmaximal, characteristic, complemented
23C4×#10587621C211yesmaximal, characteristic, complemented
24C4×#10587625C211yesmaximal, characteristic, complemented
25C4×#10587639C211yesmaximal, characteristic, complemented
26C4×#10587639C211yesmaximal, characteristic, complemented
27#14531229C211yesmaximal, characteristic, complemented
28#14531227C211yesmaximal, characteristic, complemented
29#14531167C211yesmaximal, characteristic, complemented
30C2×C4×C22⋊Dic17C211yesmaximal, characteristic, complemented
31C22×C4×D4×C17C211yesmaximal, characteristic, complemented
32#11763339—28no—
33C2×#10587584C2211yescharacteristic, complemented
34C2×#10587565C2211yescharacteristic, complemented
35C2×#10587575C2211yescharacteristic, complemented
36C2×#10587571C2211yescharacteristic, complemented
37C2×#10587572C2211yescharacteristic, complemented
38C2×#10587621C2211yescharacteristic
39C2×#10587621C2211yescharacteristic
40C2×#10587610C2211yescharacteristic
41C2×#10587564C2211yescharacteristic, complemented
42C2×#10587625C2211yescharacteristic
43C2×#10587625C2211yescharacteristic
44C2×#10587639C2211yescharacteristic
45C2×#10587639C2211yescharacteristic
46C2×C4×Dic34C2211yescharacteristic, complemented
47C2×C4×C22⋊D17C2211yescharacteristic
48C2×C4×C22⋊D17C2211yescharacteristic, complemented
49C2×C4×C22⋊D17C2211yescharacteristic, complemented
50C2×C4×C22⋊D17C2211yescharacteristic, complemented
51C2×C4×C22⋊D17C2211yescharacteristic, complemented
52C2×#10587612C2211yescharacteristic, complemented
53C2×#10587612C2211yescharacteristic, complemented
54C2×#10587558C2211yescharacteristic, complemented
55C22×C22⋊Dic17C2211yescharacteristic
56C22×C22⋊Dic17C2211yescharacteristic
57C22×C4×Dic17C2211yescharacteristic, complemented
58C22×C4×Dic17C2211yescharacteristic, complemented
59#11762748C2211yescharacteristic, complemented
60#11762747C2211yescharacteristic, complemented
61#11762747C2211yescharacteristic, complemented
62#11762745C2211yescharacteristic, complemented
63#11762742C2211yescharacteristic, complemented
64#11762740C2211yescharacteristic, complemented
65#11762739C2211yescharacteristic, complemented
66#11762737C2211yescharacteristic, complemented
67#11762737C2211yescharacteristic, complemented
68#11762737C2211yescharacteristic, complemented
69#11762735C2211yescharacteristic, complemented
70#11762734C2211yescharacteristic, complemented
71#11762734C2211yescharacteristic, complemented
72#11762734C2211yescharacteristic, complemented
73#11762732C2211yescharacteristic, complemented
74#11762732C2211yescharacteristic, complemented
75#11762732C2211yescharacteristic, complemented
76#11762731C2211yescharacteristic, complemented
77#11762725C2211yescharacteristic, complemented
78#11762725C2211yescharacteristic, complemented
79#11762725C2211yescharacteristic, complemented
80#11762724C2211yescharacteristic, complemented
81#11762723C2211yescharacteristic
82#11762723C2211yescharacteristic
83#11762723C2211yescharacteristic
84#11762723C2211yescharacteristic
85#11762723C2211yescharacteristic
86#11762723C2211yescharacteristic
87#11762721C2211yescharacteristic, complemented
88#11762721C2211yescharacteristic, complemented
89#11762717C2211yescharacteristic
90#11762717C2211yescharacteristic
91#11762715C2211yescharacteristic, complemented
92#11762709C2211yescharacteristic, complemented
93#11762707C2211yescharacteristic, complemented
94#11762704C2211yescharacteristic, complemented
95#11762703C2211yescharacteristic, complemented
96#11762702C2211yescharacteristic, complemented
97#11762702C2211yescharacteristic, complemented
98#11762700C2211yescharacteristic, complemented
99#11762700C2211yescharacteristic, complemented
100#11762699C2211yescharacteristic, complemented
101#11762697C2211yescharacteristic, complemented
102#11762697C2211yescharacteristic, complemented
103#11762695C2211yescharacteristic, complemented
104#11762695C2211yescharacteristic, complemented
105#11762693C2211yescharacteristic, complemented
106#11762693C2211yescharacteristic, complemented
107#11762693C2211yescharacteristic, complemented
108#11762693C2211yescharacteristic, complemented
109#11762690C2211yescharacteristic, complemented
110#11762690C2211yescharacteristic, complemented
111#11762689C2211yescharacteristic
112#11762689C2211yescharacteristic
113#11762689C2211yescharacteristic
114#11762689C2211yescharacteristic
115#11762688C2211yescharacteristic
116#11762688C2211yescharacteristic
117#11762688C2211yescharacteristic
118#11762688C2211yescharacteristic
119#11762688C2211yescharacteristic, complemented
120#11762688C2211yescharacteristic, complemented
121#11762688C2211yescharacteristic, complemented
122#11762688C2211yescharacteristic, complemented
123#11762686C2211yescharacteristic, complemented
124#11762684C2211yescharacteristic, complemented
125#11762684C2211yescharacteristic, complemented
126#11762682C2211yescharacteristic
127#11762682C2211yescharacteristic
128#11762682C2211yescharacteristic
129#11762682C2211yescharacteristic
130#11762682C2211yescharacteristic
131#11762682C2211yescharacteristic
132#11762682C2211yescharacteristic, complemented
133#11762682C2211yescharacteristic, complemented
134#11762682C2211yescharacteristic, complemented
135#11762682C2211yescharacteristic, complemented
136#11762681C2211yescharacteristic, complemented
137#11762672C2211yescharacteristic, complemented
138#11762672C2211yescharacteristic, complemented
139#11762670C2211yescharacteristic, complemented
140#11762669C2211yescharacteristic
141#11762669C2211yescharacteristic
142#11762669C2211yescharacteristic
143#11762669C2211yescharacteristic, complemented
144#11762669C2211yescharacteristic, complemented
145#11762667C2211yescharacteristic, complemented
146#11762665C2211yescharacteristic
147#11762665C2211yescharacteristic
148#11762665C2211yescharacteristic
149#11762665C2211yescharacteristic
150C4×#63225C2211yescharacteristic, complemented
151C4×#63225C2211yescharacteristic, complemented
152C4×#63225C2211yescharacteristic, complemented
153C4×C4⋊Dic17C2211yescharacteristic, complemented
154C4×#63227C2211yescharacteristic, complemented
155C4×C22⋊Dic17C2211yescharacteristic
156C4×C22⋊Dic17C2211yescharacteristic
157C4×C22⋊Dic17C2211yescharacteristic
158C4×C22⋊Dic17C2211yescharacteristic
159C4×C22⋊Dic17C2211yescharacteristic
160C4×C22⋊Dic17C2211yescharacteristic, complemented
161C4×C22⋊Dic17C2211yescharacteristic, complemented
162C4×C22⋊Dic17C2211yescharacteristic, complemented
163C4×C22⋊Dic17C2211yescharacteristic, complemented
164C4×C22⋊Dic17C2211yescharacteristic, complemented
165C4×C22⋊Dic17C2211yescharacteristic, complemented
166C4×C22⋊Dic17C2211yescharacteristic, complemented
167C4×C22⋊Dic17C2211yescharacteristic, complemented
168C4×C22⋊Dic17C2211yescharacteristic, complemented
169C4×C22⋊Dic17C2211yescharacteristic, complemented
170#11762655C2211yescharacteristic, complemented
171C2×#10587502C2211yescharacteristic, complemented
172C2×#10587502C2211yescharacteristic, complemented
173C23×D4×C17C2211yescharacteristic
174C24×C4×C17C2211yescharacteristic
175C24×C4×C17C2211yescharacteristic
176C2×C4×D4×C17—28no—
177C2×C4×D4×C17C2211yescharacteristic
178C2×C4×D4×C17C2211yescharacteristic
179C2×C4×D4×C17C2211yescharacteristic
180C2×C4×D4×C17C2211yescharacteristic
181C2×C4×D4×C17C2211yescharacteristic
182C2×C4×D4×C17C2211yescharacteristic
183C2×C4×D4×C17C2211yescharacteristic
184C2×C4×D4×C17C2211yescharacteristic
185C22×C4⋊C4×C17C2211yescharacteristic
186C22×C22⋊C4×C17C2211yescharacteristic
187C22×C22⋊C4×C17C2211yescharacteristic
188C22×C42×C17C2211yescharacteristic
189C25×C17C2311yescharacteristic
190C25×C17C2311yescharacteristic
191C22×D4×C17—24no—
192C22×D4×C17—24no—
193C22×D4×C17—24no—
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C23×C4×C17—24no—
199C23×C4×C17—24no—
200C23×C4×C17—24no—
201C23×C4×C17—24no—
202C23×C4×C17—42no—
203C23×C4×C17—42no—
204C23×C4×C17C2311yescharacteristic
205C23×C4×C17C2311yescharacteristic
206C23×C4×C17C2311yescharacteristic
207C23×C4×C17C2311yescharacteristic
208C23×C4×C17C2311yescharacteristic
209C23×C4×C17C2311yescharacteristic
210C23×C4×C17C2311yescharacteristic
211C23×C4×C17C2311yescharacteristic
212C23×C4×C17C2311yescharacteristic
213C23×C4×C17C2311yescharacteristic
214C23×C4×C17C2311yescharacteristic
215C23×C4×C17C2311yescharacteristic
216C23×C4×C17C2311yescharacteristic
217C22×C22⋊D17C2311yescharacteristic
218C22×C22⋊D17C2311yescharacteristic
219C22×C22⋊D17C2311yescharacteristic
220C22×C22⋊D17C2311yescharacteristic
221C22×C22⋊D17C2311yescharacteristic
222C23×Dic17C2311yescharacteristic
223C23×Dic17C2311yescharacteristic
224C23×Dic17C2311yescharacteristic
225C23×Dic17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×Dic34C2311yescharacteristic
228C4×D4×C17—24no—
229C4×D4×C17—24no—
230C4×D4×C17—24no—
231C4×D4×C17—24no—
232C4×D4×C17—24no—
233C4×D4×C17—24no—
234C4×D4×C17—24no—
235C4×D4×C17D418yescomplemented
236C2×C4⋊C4×C17—24no—
237C2×C4⋊C4×C17C2311yescharacteristic
238C2×C4⋊C4×C17C2311yescharacteristic
239C2×C4⋊C4×C17C2311yescharacteristic
240C2×C4⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17—24no—
242C2×C22⋊C4×C17—24no—
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C22⋊C4×C17C2311yescharacteristic
246C2×C22⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C22⋊C4×C17C2311yescharacteristic
250C2×C22⋊C4×C17C2311yescharacteristic
251C2×C42×C17—24no—
252C2×C42×C17C2311yescharacteristic
253C2×C42×C17C2311yescharacteristic
254C2×C42×C17C2311yescharacteristic
255C2×C42×C17C2311yescharacteristic
256#10587639—24no—
257#10587639—24no—
258C2×C22⋊Dic17—24no—
259C2×C22⋊Dic17—24no—
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263C2×C22⋊Dic17C2311yescharacteristic
264C2×C22⋊Dic17C2311yescharacteristic
265C2×C22⋊Dic17C2311yescharacteristic
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
279C2×C22⋊Dic17C2311yescharacteristic
280C2×C22⋊Dic17C2311yescharacteristic
281C2×C22⋊Dic17C2311yescharacteristic
282C2×C22⋊Dic17C2311yescharacteristic
283C2×C22⋊Dic17C2311yescharacteristic
284C2×C22⋊Dic17C2311yescharacteristic
285C2×C22⋊Dic17C2311yescharacteristic
286C2×C22⋊Dic17C2311yescharacteristic
287C2×C22⋊Dic17C2311yescharacteristic
288C2×C22⋊Dic17C2311yescharacteristic
289C2×C22⋊Dic17C2311yescharacteristic
290C2×C22⋊Dic17C2311yescharacteristic
291#10587625—24no—
292#10587625—24no—
293#10587621—24no—
294#10587621—24no—
295C4×C22⋊D17—24no—
296C4×C22⋊D17—24no—
297C4×C22⋊D17—24no—
298C4×C22⋊D17—42no—
299C4×C22⋊D17—42no—
300C2×#63227C2311yescharacteristic
301C2×#63227C2311yescharacteristic
302C2×#63227C2311yescharacteristic
303C2×#63227C2311yescharacteristic
304C2×#63227C2311yescharacteristic
305C2×#63227C2311yescharacteristic
306C2×#63227C2311yescharacteristic
307C2×#63227C2311yescharacteristic
308C2×#63227C2311yescharacteristic
309#10587612—24no—
310#10587612—42no—
311C2×C4⋊Dic17C2311yescharacteristic
312C2×C4⋊Dic17C2311yescharacteristic
313C2×C4⋊Dic17C2311yescharacteristic
314C2×C4⋊Dic17C2311yescharacteristic
315C2×C4⋊Dic17C2311yescharacteristic
316C2×C4⋊Dic17C2311yescharacteristic
317C2×C4⋊Dic17C2311yescharacteristic
318#10587610—24no—
319C2×#63225C2311yescharacteristic
320C2×#63225C2311yescharacteristic
321C2×#63225C2311yescharacteristic
322C2×#63225C2311yescharacteristic
323C2×#63225C2311yescharacteristic
324C2×#63225C2311yescharacteristic
325C2×#63225C2311yescharacteristic
326C2×#63225C2311yescharacteristic
327C2×#63225C2311yescharacteristic
328C2×#63225C2311yescharacteristic
329C2×#63225C2311yescharacteristic
330C2×#63225C2311yescharacteristic
331C2×#63225C2311yescharacteristic
332C2×#63225C2311yescharacteristic
333C2×#63225C2311yescharacteristic
334C2×C4×Dic17—24no—
335C2×C4×Dic17—42no—
336C2×C4×Dic17C2311yescharacteristic
337C2×C4×Dic17C2311yescharacteristic
338C2×C4×Dic17C2311yescharacteristic
339C2×C4×Dic17C2311yescharacteristic
340C2×C4×Dic17C2311yescharacteristic
341C2×C4×Dic17C2311yescharacteristic
342C2×C4×Dic17C2311yescharacteristic
343C2×C4×Dic17C2311yescharacteristic
344C2×C4×Dic17C2311yescharacteristic
345C2×C4×Dic17C2311yescharacteristic
346C2×C4×Dic17C2311yescharacteristic
347#10587584—24no—
348#10587575—24no—
349#10587572—24no—
350#10587571—24no—
351#10587565—24no—
352#10587564—24no—
353#10587558—24no—
354C4×Dic34—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×C17—22no—
392C24×C17—22no—
393C24×C17—22no—
394C24×C17—22no—
395C24×C17—22no—
396C24×C17—22no—
397C24×C17—22no—
398C24×C17—22no—
399C24×C17—22no—
400C24×C17—41no—
401C24×C17—41no—
402C24×C17—41no—
403C24×C17—41no—
404C24×C17#4114yes—
405C24×C17C2411yescharacteristic
406C24×C17C2411yescharacteristic
407C24×C17C2411yescharacteristic
408C24×C17C2411yescharacteristic
409C24×C17C2411yescharacteristic
410C23×D17C2411yescharacteristic
411C2×D4×C17—232no—
412C2×D4×C17—22no—
413C2×D4×C17—22no—
414C2×D4×C17—22no—
415C2×D4×C17—22no—
416C2×D4×C17—22no—
417C2×D4×C17—22no—
418C2×D4×C17—22no—
419C2×D4×C17—22no—
420C2×D4×C17—22no—
421C2×D4×C17—22no—
422C2×D4×C17C2×D414yes—
423C2×D4×C17#4114yes—
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—22no—
439C22×C4×C17—22no—
440C22×C4×C17—22no—
441C22×C4×C17—22no—
442C22×C4×C17—22no—
443C22×C4×C17—22no—
444C22×C4×C17—22no—
445C22×C4×C17—22no—
446C22×C4×C17—22no—
447C22×C4×C17—22no—
448C22×C4×C17—22no—
449C22×C4×C17—22no—
450C22×C4×C17—22no—
451C22×C4×C17—22no—
452C22×C4×C17—22no—
453C22×C4×C17—41no—
454C22×C4×C17—41no—
455C22×C4×C17—41no—
456C22×C4×C17—41no—
457C22×C4×C17—41no—
458C22×C4×C17—41no—
459C22×C4×C17—41no—
460C22×C4×C17—416no—
461C22×C4×C17—416no—
462C22×C4×C17C2×D414yes—
463C22×C4×C17C2×D414yes—
464C22×C4×C17#4114yes—
465C22×C4×C17C2411yescharacteristic
466C22×C4×C17C2411yescharacteristic
467C22×C4×C17C2411yescharacteristic
468C22×C4×C17C2411yescharacteristic
469C22×C4×C17C2411yescharacteristic
470C22×C4×C17C2411yescharacteristic
471C22×C4×C17C2411yescharacteristic
472C22×C4×C17C2411yescharacteristic
473C22×C4×C17C2411yescharacteristic
474C22×C4×C17C2411yescharacteristic
475C2×C22⋊D17—22no—
476C2×C22⋊D17—22no—
477C2×C22⋊D17—22no—
478C2×C22⋊D17—22no—
479C2×C22⋊D17—22no—
480C2×C22⋊D17—22no—
481C2×C22⋊D17—22no—
482C2×C22⋊D17—22no—
483C2×C22⋊D17—22no—
484C2×C22⋊D17—22no—
485C2×C22⋊D17—22no—
486C2×C22⋊D17—41no—
487C2×C22⋊D17—41no—
488C2×C22⋊D17—41no—
489C2×C22⋊D17—41no—
490C22×Dic17—22no—
491C22×Dic17—22no—
492C22×Dic17—22no—
493C22×Dic17—22no—
494C22×Dic17—22no—
495C22×Dic17—22no—
496C22×Dic17—22no—
497C22×Dic17—22no—
498C22×Dic17—41no—
499C22×Dic17—41no—
500C22×Dic17—41no—
501C22×Dic17—41no—
502C22×Dic17C2411yescharacteristic
503C22×Dic17C2411yescharacteristic
504C22×Dic17C2411yescharacteristic
505C22×Dic17C2411yescharacteristic
506C22×Dic17C2411yescharacteristic
507C22×Dic17C2411yescharacteristic
508C22×Dic17C2411yescharacteristic
509C22×Dic17C2411yescharacteristic
510C22×Dic17C2411yescharacteristic
511C22×Dic17C2411yescharacteristic
512C22×Dic17C2411yescharacteristic
513C22×Dic17C2411yescharacteristic
514C22×Dic17C2411yescharacteristic
515C22×Dic17C2411yescharacteristic
516C22×Dic17C2411yescharacteristic
517C2×C4×D17—22no—
518C2×C4×D17—22no—
519C2×C4×D17—22no—
520C2×Dic34—22no—
521C2×Dic34—22no—
522C2×Dic34—41no—
523C4⋊C4×C17—22no—
524C4⋊C4×C17—22no—
525C4⋊C4×C17—22no—
526C4⋊C4×C17C2×D414yes—
527C22⋊C4×C17—22no—
528C22⋊C4×C17—22no—
529C22⋊C4×C17—22no—
530C22⋊C4×C17—22no—
531C22⋊C4×C17—22no—
532C22⋊C4×C17—22no—
533C22⋊C4×C17C2×D414yes—
534C22⋊C4×C17C2×D414yes—
535C42×C17—22no—
536C42×C17—22no—
537C42×C17—22no—
538C42×C17C2×D414yes—
539C22⋊Dic17—22no—
540C22⋊Dic17—22no—
541C22⋊Dic17—22no—
542C22⋊Dic17—22no—
543C22⋊Dic17—22no—
544C22⋊Dic17—22no—
545C22⋊Dic17—22no—
546C22⋊Dic17—22no—
547C22⋊Dic17—22no—
548C22⋊Dic17—22no—
549C22⋊Dic17—22no—
550C22⋊Dic17—22no—
551C22⋊Dic17—22no—
552C22⋊Dic17—22no—
553C22⋊Dic17—22no—
554C22⋊Dic17—22no—
555C22⋊Dic17—22no—
556C22⋊Dic17—22no—
557C22⋊Dic17—22no—
558C22⋊Dic17—22no—
559C22⋊Dic17—22no—
560C22⋊Dic17—22no—
561C22⋊Dic17—41no—
562C22⋊Dic17—41no—
563C22⋊Dic17—41no—
564C22⋊Dic17—41no—
565C22⋊Dic17—41no—
566C22⋊Dic17—41no—
567C22⋊Dic17—41no—
568C22⋊Dic17—41no—
569C22⋊Dic17#4114yes—
570#63227—22no—
571#63227—22no—
572#63227—22no—
573#63227—22no—
574#63227—22no—
575#63227—22no—
576#63227—41no—
577#63227—41no—
578#63227—41no—
579C4⋊Dic17—22no—
580C4⋊Dic17—22no—
581C4⋊Dic17—22no—
582C4⋊Dic17—22no—
583C4⋊Dic17—41no—
584C4⋊Dic17—41no—
585C4⋊Dic17—41no—
586#63225—22no—
587#63225—22no—
588#63225—22no—
589#63225—22no—
590#63225—22no—
591#63225—22no—
592#63225—22no—
593#63225—22no—
594#63225—22no—
595#63225—22no—
596#63225—22no—
597#63225—22no—
598#63225—41no—
599#63225—41no—
600#63225—41no—
601C4×Dic17—22no—
602C4×Dic17—22no—
603C4×Dic17—22no—
604C4×Dic17—22no—
605C4×Dic17—22no—
606C4×Dic17—22no—
607C4×Dic17—22no—
608C4×Dic17—22no—
609C4×Dic17—22no—
610C4×Dic17—41no—
611C4×Dic17—41no—
612#34670—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—28no—
622C23×C17—28no—
623C23×C17—28no—
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—21no—
630C23×C17—21no—
631C23×C17—21no—
632C23×C17—21no—
633C23×C17—21no—
634C23×C17—21no—
635C23×C17—21no—
636C23×C17—21no—
637C23×C17—21no—
638C23×C17—21no—
639C23×C17—21no—
640C23×C17—21no—
641C23×C17—21no—
642C23×C17—44no—
643C23×C17—44no—
644C23×C17—44no—
645C23×C17—44no—
646C23×C17—44no—
647C23×C17—44no—
648C23×C17—44no—
649C23×C17—44no—
650C23×C17—44no—
651C23×C17—44no—
652C23×C17—44no—
653C23×C17C22×D412yes—
654C23×C17C22×D412yes—
655C23×C17C2×#4112yes—
656C23×C17C2×#4112yes—
657C23×C17C2×#4112yes—
658C23×C17C2×#4112yes—
659C23×C17C2×#4112yes—
660C23×C17C2×#4112yes—
661C23×C17C2×#4112yes—
662C23×C17C2511yescharacteristic
663C22×D17—21no—
664C22×D17—21no—
665C22×D17—21no—
666C22×D17—21no—
667C22×D17—21no—
668C22×D17—21no—
669C22×D17—21no—
670D4×C17—28no—
671D4×C17—28no—
672D4×C17—28no—
673D4×C17—28no—
674C2×C4×C17—28no—
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—21no—
687C2×C4×C17—28no—
688C2×C4×C17—28no—
689C2×C4×C17—28no—
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—21no—
698C2×C4×C17—21no—
699C2×C4×C17—44no—
700C2×C4×C17—44no—
701C2×C4×C17—44no—
702C2×C4×C17—44no—
703C2×C4×C17—44no—
704C2×C4×C17—44no—
705C2×C4×C17—44no—
706C2×C4×C17—44no—
707C2×C4×C17—44no—
708C2×C4×C17C22×D412yes—
709C2×C4×C17C22×D412yes—
710C2×C4×C17C22×D412yes—
711C2×C4×C17C22×D412yes—
712C2×C4×C17C22×D412yes—
713C2×C4×C17C2×#4112yes—
714C2×C4×C17C2×#4112yes—
715C2×C4×C17C2×#4112yes—
716C2×C4×C17H(5,𝔽2)12yes—
717C22⋊D17—44no—
718C22⋊D17—44no—
719C22⋊D17—44no—
720C22⋊D17—44no—
721C22⋊D17—44no—
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—21no—
757C2×Dic17—21no—
758C2×Dic17—21no—
759C2×Dic17—21no—
760C2×Dic17—21no—
761C2×Dic17—21no—
762C2×Dic17—21no—
763C2×Dic17—21no—
764C2×Dic17—21no—
765C2×Dic17—44no—
766C2×Dic17—44no—
767C2×Dic17—44no—
768C2×Dic17—44no—
769C2×Dic17C2×#4112yes—
770C2×Dic17C2×#4112yes—
771C4×D17—44no—
772Dic34—44no—
773C2×#529—171no—
774C22×C4×D4D1711yescharacteristic, complemented
775#2481—171no—
776#2480—171no—
777#2473—171no—
778#2472—171no—
779#2467—171no—
780#2466—171no—
781#2460—171no—
782#2459—171no—
783#2450—171no—
784#2444—171no—
785#2437—171no—
786#2425—171no—
787#2419—171no—
788#2412—171no—
789#2410—171no—
790#2405—171no—
791#2398—171no—
792#2395—171no—
793#2392—171no—
794#2392—171no—
795C4×C22⋊Q8—171no—
796C4×#123—171no—
797C4×#121—171no—
798C4×#120—171no—
799C4×#120—171no—
800#2290—171no—
801#2290—171no—
802#2280—171no—
803C2×C4×C22⋊C4—171no—
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—22no—
813C22×C17—22no—
814C22×C17—22no—
815C22×C17—22no—
816C22×C17—22no—
817C22×C17—22no—
818C22×C17—22no—
819C22×C17—22no—
820C22×C17—22no—
821C22×C17—22no—
822C22×C17—22no—
823C22×C17—22no—
824C22×C17—22no—
825C22×C17—416no—
826C22×C17—416no—
827C22×C17—41no—
828C22×C17—41no—
829C22×C17—41no—
830C22×C17—41no—
831C22×C17—41no—
832C22×C17—41no—
833C22×C17—41no—
834C22×C17—41no—
835C22×C17—41no—
836C22×C17—41no—
837C22×C17—41no—
838C22×C17—41no—
839C22×C17#52514yes—
840C22×C17#52914yescomplemented
841C22×C17C23×D411yescharacteristic
842C22×C17C22×#4111yescharacteristic
843C22×C17C22×#4111yescharacteristic
844C22×C17C22×#4111yescharacteristic
845C22×C17C22×#4111yescharacteristic
846C22×C17C2×H(5,𝔽2)11yescharacteristic
847C22×C17#58511yescharacteristic
848C2×D17—41no—
849C2×D17—41no—
850C2×D17—41no—
851C2×D17—41no—
852C2×D17—41no—
853C2×D17—41no—
854C2×D17—41no—
855C4×C17—22no—
856C4×C17—22no—
857C4×C17—22no—
858C4×C17—22no—
859C4×C17—22no—
860C4×C17—22no—
861C4×C17—41no—
862C4×C17—41no—
863C4×C17—41no—
864C4×C17#54614yes—
865Dic17—22no—
866Dic17—22no—
867Dic17—41no—
868Dic17—41no—
869Dic17—41no—
870Dic17—41no—
871Dic17—41no—
872Dic17—41no—
873Dic17—41no—
874Dic17—41no—
875Dic17—41no—
876Dic17—41no—
877Dic17—41no—
878Dic17—41no—
879Dic17—41no—
880C23×D4C2×D1711yescharacteristic
881C24×C4C2×D1711yescharacteristic
882C24×C4C2×D1711yescharacteristic
883#529—348no—
884C2×#126—171no—
885C2×#126—171no—
886C2×#125—171no—
887C2×#124—171no—
888C2×#123—171no—
889C2×#123—171no—
890C2×#123—171no—
891C2×C22⋊Q8—171no—
892C2×C22⋊Q8—171no—
893C2×#121—171no—
894C2×#121—171no—
895C2×#120—171no—
896C2×#120—171no—
897C2×C4×Q8—171no—
898C2×C4×D4—28no—
899C2×C4×D4—171no—
900C2×C4×D4—171no—
901C2×C4×D4—171no—
902C2×C4×D4—171no—
903C2×C4×D4—171no—
904C2×C4×D4C2×D1711yescharacteristic
905C2×C4×D4C2×D1711yescharacteristic
906C2×C4×D4C2×D1711yescharacteristic
907C2×C4×D4C2×D1711yescharacteristic
908C2×C4×D4C2×D1711yescharacteristic
909C2×C4×D4C2×D1711yescharacteristic
910C2×C4×D4C2×D1711yescharacteristic
911C2×C4×D4C2×D1711yescharacteristic
912C2×#117—171no—
913C2×#117—171no—
914C2×#117—171no—
915C22×C4⋊C4C2×D1711yescharacteristic
916C22×C22⋊C4—171no—
917C22×C22⋊C4—171no—
918C22×C22⋊C4C2×D1711yescharacteristic
919C22×C22⋊C4C2×D1711yescharacteristic
920C22×C42—171no—
921C22×C42—171no—
922C22×C42C2×D1711yescharacteristic
923#400—171no—
924#400—171no—
925#400—171no—
926#399—171no—
927#398—171no—
928#398—171no—
929#398—171no—
930#397—171no—
931#397—171no—
932#397—171no—
933#397—171no—
934#397—171no—
935#397—171no—
936#397—171no—
937#396—171no—
938#396—171no—
939#396—171no—
940#396—171no—
941#394—171no—
942#394—171no—
943#394—171no—
944#394—171no—
945#394—171no—
946#394—171no—
947#394—171no—
948#394—171no—
949#394—171no—
950#394—171no—
951#393—171no—
952#393—171no—
953#392—171no—
954#392—171no—
955#391—171no—
956#390—171no—
957#389—171no—
958#389—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#387—171no—
968#387—171no—
969#387—171no—
970#387—171no—
971#387—171no—
972#387—171no—
973#387—171no—
974#387—171no—
975#386—171no—
976#386—171no—
977#386—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#385—171no—
989#385—171no—
990#385—171no—
991#385—171no—
992#385—171no—
993#385—171no—
994#385—171no—
995#385—171no—
996#385—171no—
997#385—171no—
998#385—171no—
999#385—171no—
1000#385—171no—
1001#381—171no—
1002#381—171no—
1003#381—171no—
1004#380—171no—
1005#380—171no—
1006#380—171no—
1007#380—171no—
1008#380—171no—
1009#380—171no—
1010#379—171no—
1011#379—171no—
1012#379—171no—
1013#379—171no—
1014C4×C4⋊C4—171no—
1015C4×C4⋊C4—171no—
1016C4×C4⋊C4—171no—
1017C4×C4⋊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—
1029C4×C22⋊C4—171no—
1030C4×C22⋊C4—171no—
1031C4×C22⋊C4—171no—
1032C4×C22⋊C4—171no—
1033C4×C22⋊C4—171no—
1034#376—171no—
1035C2×#95—171no—
1036C2×#95—171no—
1037C2×C17—24no—
1038C2×C17—24no—
1039C2×C17—42no—
1040C2×C17—42no—
1041C2×C17—42no—
1042C2×C17C2×#52511yescharacteristic
1043C2×C17C2×#52911yescharacteristic
1044C2×C17#345911yescharacteristic
1045C2×C17C2×#54611yescharacteristic
1046C2×C17D4×#4111yescharacteristic
1047C2×C17#347511yescharacteristic
1048C2×C17#348111yescharacteristic
1049D17—81no—
1050C25C22×D1711yescharacteristic
1051C25C22×D1711yescharacteristic
1052C22×Q8—171no—
1053C22×D4—24no—
1054C22×D4—24no—
1055C22×D4—24no—
1056C22×D4—171no—
1057C22×D4—171no—
1058C22×D4—171no—
1059C22×D4—171no—
1060C22×D4—171no—
1061C22×D4C22×D1711yescharacteristic
1062C22×D4C22×D1711yescharacteristic
1063C22×D4C22×D1711yescharacteristic
1064C22×D4C22×D1711yescharacteristic
1065C23×C4—24no—
1066C23×C4—24no—
1067C23×C4—24no—
1068C23×C4—24no—
1069C23×C4—42no—
1070C23×C4—42no—
1071C23×C4—171no—
1072C23×C4—171no—
1073C23×C4—171no—
1074C23×C4—171no—
1075C23×C4—171no—
1076C23×C4C22×D1711yescharacteristic
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
1086C23×C4C22×D1711yescharacteristic
1087C23×C4C22×D1711yescharacteristic
1088C23×C4C22×D1711yescharacteristic
1089#126—344no—
1090#126—344no—
1091#125—344no—
1092#124—344no—
1093#123—344no—
1094#123—344no—
1095#123—344no—
1096C22⋊Q8—344no—
1097C22⋊Q8—344no—
1098#121—344no—
1099#121—344no—
1100#120—344no—
1101#120—344no—
1102C4×Q8—344no—
1103C4×D4—24no—
1104C4×D4—24no—
1105C4×D4—24no—
1106C4×D4—24no—
1107C4×D4—24no—
1108C4×D4—24no—
1109C4×D4—24no—
1110C4×D4—344no—
1111C4×D4—344no—
1112C4×D4—344no—
1113C4×D4—682no—
1114C4×D4—682no—
1115C4×D4C22⋊D1718yescomplemented
1116#117—344no—
1117#117—344no—
1118#117—682no—
1119C2×C4⋊C4—24no—
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⋊C4—171no—
1137C2×C4⋊C4—171no—
1138C2×C4⋊C4—171no—
1139C2×C4⋊C4—171no—
1140C2×C4⋊C4—171no—
1141C2×C4⋊C4—171no—
1142C2×C4⋊C4C22×D1711yescharacteristic
1143C2×C4⋊C4C22×D1711yescharacteristic
1144C2×C4⋊C4C22×D1711yescharacteristic
1145C2×C4⋊C4C22×D1711yescharacteristic
1146C2×C22⋊C4—24no—
1147C2×C22⋊C4—24no—
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—171no—
1183C2×C22⋊C4—171no—
1184C2×C22⋊C4—171no—
1185C2×C22⋊C4—171no—
1186C2×C22⋊C4—171no—
1187C2×C22⋊C4—171no—
1188C2×C22⋊C4—344no—
1189C2×C22⋊C4—344no—
1190C2×C22⋊C4C22×D1711yescharacteristic
1191C2×C22⋊C4C22×D1711yescharacteristic
1192C2×C22⋊C4C22×D1711yescharacteristic
1193C2×C22⋊C4C22×D1711yescharacteristic
1194C2×C22⋊C4C22×D1711yescharacteristic
1195C2×C22⋊C4C22×D1711yescharacteristic
1196C2×C22⋊C4C22×D1711yescharacteristic
1197C2×C22⋊C4C22×D1711yescharacteristic
1198C2×C42—24no—
1199C2×C42—171no—
1200C2×C42—171no—
1201C2×C42—171no—
1202C2×C42—171no—
1203C2×C42—171no—
1204C2×C42—171no—
1205C2×C42—171no—
1206C2×C42—171no—
1207C2×C42—171no—
1208C2×C42—171no—
1209C2×C42—171no—
1210C2×C42—344no—
1211C2×C42—682no—
1212C2×C42C22×D1711yescharacteristic
1213C2×C42C22×D1711yescharacteristic
1214C2×C42C22×D1711yescharacteristic
1215C2×C42C22×D1711yescharacteristic
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—
1247#95—171no—
1248#95—171no—
1249#95—171no—
1250#95—171no—
1251#95—171no—
1252C17#3467011yescharacteristic, complemented, Sylow
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24—171no—
1267C24#6325214yes—
1268C24C23×D1711yescharacteristic
1269C24C23×D1711yescharacteristic
1270C24C23×D1711yescharacteristic
1271C24C23×D1711yescharacteristic
1272C24C23×D1711yescharacteristic
1273C2×Q8—342no—
1274C2×Q8—342no—
1275C2×Q8—681no—
1276C2×D4—232no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
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—342no—
1296C2×D4—342no—
1297C2×D4—342no—
1298C2×D4—681no—
1299C2×D4—681no—
1300C2×D4—681no—
1301C2×D4—681no—
1302C2×D4#6325214yes—
1303C2×D4C2×C22⋊D1714yes—
1304C22×C4—22no—
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—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—416no—
1341C22×C4—416no—
1342C22×C4—171no—
1343C22×C4—171no—
1344C22×C4—171no—
1345C22×C4—171no—
1346C22×C4—171no—
1347C22×C4—171no—
1348C22×C4—171no—
1349C22×C4—171no—
1350C22×C4—171no—
1351C22×C4—171no—
1352C22×C4—171no—
1353C22×C4—171no—
1354C22×C4—171no—
1355C22×C4—171no—
1356C22×C4—171no—
1357C22×C4—342no—
1358C22×C4—342no—
1359C22×C4—342no—
1360C22×C4—342no—
1361C22×C4—342no—
1362C22×C4—342no—
1363C22×C4—342no—
1364C22×C4—342no—
1365C22×C4—342no—
1366C22×C4—342no—
1367C22×C4—342no—
1368C22×C4—681no—
1369C22×C4—681no—
1370C22×C4—681no—
1371C22×C4—681no—
1372C22×C4#6325414yes—
1373C22×C4C2×C22⋊D1714yes—
1374C22×C4C2×C22⋊D1714yes—
1375C22×C4C23×D1711yescharacteristic
1376C22×C4C23×D1711yescharacteristic
1377C22×C4C23×D1711yescharacteristic
1378C22×C4C23×D1711yescharacteristic
1379C22×C4C23×D1711yescharacteristic
1380C22×C4C23×D1711yescharacteristic
1381C22×C4C23×D1711yescharacteristic
1382C22×C4C23×D1711yescharacteristic
1383C22×C4C23×D1711yescharacteristic
1384C22×C4C23×D1711yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
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—342no—
1400C4⋊C4—342no—
1401C4⋊C4—342no—
1402C4⋊C4—342no—
1403C4⋊C4—342no—
1404C4⋊C4—681no—
1405C4⋊C4—681no—
1406C4⋊C4—681no—
1407C4⋊C4—681no—
1408C4⋊C4—681no—
1409C4⋊C4—681no—
1410C4⋊C4C2×C22⋊D1714yes—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—174no—
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—342no—
1440C22⋊C4—342no—
1441C22⋊C4—342no—
1442C22⋊C4—342no—
1443C22⋊C4—342no—
1444C22⋊C4—342no—
1445C22⋊C4—342no—
1446C22⋊C4—681no—
1447C22⋊C4—681no—
1448C22⋊C4—681no—
1449C22⋊C4—681no—
1450C22⋊C4—681no—
1451C22⋊C4—681no—
1452C22⋊C4—681no—
1453C22⋊C4—681no—
1454C22⋊C4—681no—
1455C22⋊C4—681no—
1456C22⋊C4—681no—
1457C22⋊C4C2×C22⋊D1714yes—
1458C22⋊C4C2×C22⋊D1714yes—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—342no—
1463C42—342no—
1464C42—342no—
1465C42—342no—
1466C42—342no—
1467C42—342no—
1468C42—342no—
1469C42—342no—
1470C42—342no—
1471C42—681no—
1472C42—681no—
1473C42C2×C22⋊D1714yes—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—28no—
1484C23—28no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—44no—
1504C23—44no—
1505C23—44no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—341no—
1515C23—341no—
1516C23—341no—
1517C23—341no—
1518C23—341no—
1519C23—341no—
1520C23—341no—
1521C23C2×#6325212yes—
1522C23C2×#6325212yes—
1523C23C2×#6325212yes—
1524C23C2×#6325212yes—
1525C23C2×#6325212yes—
1526C23C2×#6325412yes—
1527C23#41×D1712yes—
1528C23C22×C22⋊D1712yes—
1529C23C22×C22⋊D1712yes—
1530C23C24×D1711yescharacteristic
1531Q8—684no—
1532D4—28no—
1533D4—28no—
1534D4—28no—
1535D4—28no—
1536D4—684no—
1537D4—684no—
1538D4—684no—
1539D4—684no—
1540D4—684no—
1541C2×C4—28no—
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—21no—
1553C2×C4—21no—
1554C2×C4—28no—
1555C2×C4—28no—
1556C2×C4—28no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—172no—
1576C2×C4—172no—
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—341no—
1608C2×C4—341no—
1609C2×C4—341no—
1610C2×C4—341no—
1611C2×C4—341no—
1612C2×C4—341no—
1613C2×C4—341no—
1614C2×C4—341no—
1615C2×C4—341no—
1616C2×C4—341no—
1617C2×C4—341no—
1618C2×C4—341no—
1619C2×C4—341no—
1620C2×C4—684no—
1621C2×C4—684no—
1622C2×C4—684no—
1623C2×C4—684no—
1624C2×C4—684no—
1625C2×C4C2×#6325212yes—
1626C2×C4C2×#6325412yes—
1627C2×C4C2×#6325412yes—
1628C2×C4#1058769112yes—
1629C2×C4C22×C22⋊D1712yes—
1630C2×C4C22×C22⋊D1712yes—
1631C2×C4C22×C22⋊D1712yes—
1632C2×C4C22×C22⋊D1712yes—
1633C2×C4C22×C22⋊D1712yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—416no—
1656C22—416no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—681no—
1670C22—681no—
1671C22—681no—
1672C22—681no—
1673C22—681no—
1674C22—681no—
1675C22—681no—
1676C22#1176332014yes—
1677C22#1176333914yescomplemented
1678C22C23×C22⋊D1711yescharacteristic
1679C22C2×#41×D1711yescharacteristic
1680C22C22×#6325411yescharacteristic
1681C22C22×#6325211yescharacteristic
1682C22C22×#6325211yescharacteristic
1683C22C2×#1058769111yescharacteristic
1684C22#1176364511yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—342no—
1695C4—342no—
1696C4—681no—
1697C4—681no—
1698C4—681no—
1699C4—681no—
1700C4—681no—
1701C4—681no—
1702C4—681no—
1703C4—681no—
1704C4—681no—
1705C4—681no—
1706C4—681no—
1707C4—681no—
1708C4—681no—
1709C4#1176345314yes—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—42no—
1714C2—42no—
1715C2—1361no—
1716C2C2×#1176332011yescharacteristic
1717C2C2×#1176333911yescharacteristic
1718C2#1454219311yescharacteristic
1719C2C2×#1176345311yescharacteristic
1720C2#41×C22⋊D1711yescharacteristic
1721C2#1454234211yescharacteristic
1722C2#1454238811yescharacteristic
subgroupG/H
centerC22×C4C23×D17
commutator, socle, cosocleC23×C17C25
FrattiniC23C24×D17
FittingC22×C4×D4×C17C2
prime radical#14532158C2
hypercenterC22×C4×D4D17
hypocenterC17#34670
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×#11763339C2semidirect
2. #14533039C2semidirect
3. #14533024C2semidirect
4. #14532919C2semidirect
5. #14532904C2semidirect
6. #14532829C2semidirect
7. #14532814C2semidirect
8. #14532730C2semidirect
9. #14532715C2semidirect
10. #14532602C2semidirect
11. #14532528C2semidirect
12. #14532445C2semidirect
13. #14532329C2semidirect
14. #14532255C2semidirect
15. #14532174C2semidirect
17. #14532107C2semidirect
18. #14532068C2semidirect
19. #14532043C2semidirect
20. #14532026C2semidirect
21. #14532022C2semidirect
22. C4×#10587610C2semidirect
23. C4×#10587621C2semidirect
24. C4×#10587625C2semidirect
25. C4×#10587639C2semidirect
26. C4×#10587639C2semidirect
27. #14531229C2semidirect
28. #14531227C2semidirect
29. #14531167C2semidirect
30. C2×C4×C22⋊Dic17C2semidirect
31. C22×C4×D4×C17C2semidirect
33. C2×#10587584C22semidirect
34. C2×#10587565C22semidirect
35. C2×#10587575C22semidirect
36. C2×#10587571C22semidirect
37. C2×#10587572C22semidirect
41. C2×#10587564C22semidirect
46. C2×C4×Dic34C22semidirect
48. C2×C4×C22⋊D17C22semidirect
49. C2×C4×C22⋊D17C22semidirect
50. C2×C4×C22⋊D17C22semidirect
51. C2×C4×C22⋊D17C22semidirect
52. C2×#10587612C22semidirect
53. C2×#10587612C22semidirect
54. C2×#10587558C22semidirect
57. C22×C4×Dic17C22semidirect
58. C22×C4×Dic17C22semidirect
59. #11762748C22semidirect
60. #11762747C22semidirect
61. #11762747C22semidirect
62. #11762745C22semidirect
63. #11762742C22semidirect
64. #11762740C22semidirect
65. #11762739C22semidirect
66. #11762737C22semidirect
67. #11762737C22semidirect
68. #11762737C22semidirect
69. #11762735C22semidirect
70. #11762734C22semidirect
71. #11762734C22semidirect
72. #11762734C22semidirect
73. #11762732C22semidirect
74. #11762732C22semidirect
75. #11762732C22semidirect
76. #11762731C22semidirect
77. #11762725C22semidirect
78. #11762725C22semidirect
79. #11762725C22semidirect
80. #11762724C22semidirect
87. #11762721C22semidirect
88. #11762721C22semidirect
91. #11762715C22semidirect
92. #11762709C22semidirect
93. #11762707C22semidirect
94. #11762704C22semidirect
95. #11762703C22semidirect
96. #11762702C22semidirect
97. #11762702C22semidirect
98. #11762700C22semidirect
99. #11762700C22semidirect
100. #11762699C22semidirect
101. #11762697C22semidirect
102. #11762697C22semidirect
103. #11762695C22semidirect
104. #11762695C22semidirect
105. #11762693C22semidirect
106. #11762693C22semidirect
107. #11762693C22semidirect
108. #11762693C22semidirect
109. #11762690C22semidirect
110. #11762690C22semidirect
119. #11762688C22semidirect
120. #11762688C22semidirect
121. #11762688C22semidirect
122. #11762688C22semidirect
123. #11762686C22semidirect
124. #11762684C22semidirect
125. #11762684C22semidirect
132. #11762682C22semidirect
133. #11762682C22semidirect
134. #11762682C22semidirect
135. #11762682C22semidirect
136. #11762681C22semidirect
137. #11762672C22semidirect
138. #11762672C22semidirect
139. #11762670C22semidirect
143. #11762669C22semidirect
144. #11762669C22semidirect
145. #11762667C22semidirect
150. C4×#63225C22semidirect
151. C4×#63225C22semidirect
152. C4×#63225C22semidirect
153. C4×C4⋊Dic17C22semidirect
154. C4×#63227C22semidirect
160. C4×C22⋊Dic17C22semidirect
161. C4×C22⋊Dic17C22semidirect
162. C4×C22⋊Dic17C22semidirect
163. C4×C22⋊Dic17C22semidirect
164. C4×C22⋊Dic17C22semidirect
165. C4×C22⋊Dic17C22semidirect
166. C4×C22⋊Dic17C22semidirect
167. C4×C22⋊Dic17C22semidirect
168. C4×C22⋊Dic17C22semidirect
169. C4×C22⋊Dic17C22semidirect
170. #11762655C22semidirect
171. C2×#10587502C22semidirect
172. C2×#10587502C22semidirect
235. C4×D4×C17D4semidirect
774. C22×C4×D4D17semidirect
840. C22×C17#529semidirect
1115. C4×D4C22⋊D17semidirect
1252. C17#34670semidirect
1677. C22#11763339semidirect

Maximal subgroups

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

subgroupindex
C2×#117633392
#145330392
#145330242
#145329192
#145329042
#145328292
#145328142
#145327302
#145327152
#145326022
#145325282
#145324452
#145323292
#145322552
#145321742
#145321582
#145321072
#145320682
#145320432
#145320262
#145320222
C4×#105876102
C4×#105876212
C4×#105876252
C4×#105876392
#145312292
#145312272
#145311672
C2×C4×C22⋊Dic172
C22×C4×D4×C172
#3467017