Finite Group Databasebeta

← #17202250

Subgroups — #17202250

Order 4352.

3700 conjugacy classes of subgroups.

The subgroup lattice has 1944 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763356C211yesmaximal, characteristic, complemented
2C2×#11763320C211yesmaximal, characteristic, complemented
3C2×#11763318C211yesmaximal, characteristic, complemented
4C22×C4×C22⋊D17C211yesmaximal, characteristic, complemented
5#14532915C211yesmaximal, characteristic, complemented
6#14532907C211yesmaximal, characteristic, complemented
7#14532797C211yesmaximal, characteristic, complemented
8#14532789C211yesmaximal, characteristic, complemented
9#14532756C211yesmaximal, characteristic, complemented
10#14532748C211yesmaximal, characteristic, complemented
11#14532631C211yesmaximal, characteristic, complemented
12#14532546C211yesmaximal, characteristic, complemented
13#14532485C211yesmaximal, characteristic, complemented
14#14532419C211yesmaximal, characteristic, complemented
15#14532371C211yesmaximal, characteristic, complemented
16#14532318C211yesmaximal, characteristic, complemented
17#14532316C211yesmaximal, characteristic, complemented
18#14532297C211yesmaximal, characteristic, complemented
19#14532223C211yesmaximal, characteristic, complemented
20#14532139C211yesmaximal, characteristic, complemented
21#14532028C211yesmaximal, characteristic, complemented
22#14532026C211yesmaximal, characteristic, complemented
23#14532000C211yesmaximal, characteristic, complemented
24#14531999C211yesmaximal, characteristic, complemented
25C4×#10587626C211yesmaximal, characteristic, complemented
26C4×#10587570C211yesmaximal, characteristic, complemented
27C4×#10587625C211yesmaximal, characteristic, complemented
28C4×#10587568C211yesmaximal, characteristic, complemented
29#14531247C211yesmaximal, characteristic, complemented
30C4×#10587567C211yesmaximal, characteristic, complemented
31C4×C17×#120C211yesmaximal, characteristic, complemented
32C22×#63252C2211yescharacteristic, complemented
33C22×#63252C2211yescharacteristic, complemented
34C23×C22⋊D17C2211yescharacteristic
35C23×C4×D17C2211yescharacteristic
36#11763356—28no—
37C2×#10587574C2211yescharacteristic, complemented
38C2×#10587626C2211yescharacteristic
39C2×#10587626C2211yescharacteristic
40C2×#10587571C2211yescharacteristic, complemented
41C2×#10587571C2211yescharacteristic, complemented
42#11763320—28no—
43#11763318—28no—
44C2×#10587580C2211yescharacteristic, complemented
45C2×#10587615C2211yescharacteristic, complemented
46C2×#10587615C2211yescharacteristic, complemented
47C2×#10587569C2211yescharacteristic, complemented
48C2×#10587610C2211yescharacteristic
49C2×#10587610C2211yescharacteristic, complemented
50C2×#10587582C2211yescharacteristic, complemented
51C2×#10587564C2211yescharacteristic
52C2×#10587581C2211yescharacteristic, complemented
53C2×#10587616C2211yescharacteristic
54C2×#10587616C2211yescharacteristic, complemented
55C2×#10587570C2211yescharacteristic
56C2×#10587570C2211yescharacteristic
57C2×#10587570C2211yescharacteristic, complemented
58C2×#10587570C2211yescharacteristic, complemented
59C2×#10587625C2211yescharacteristic
60C2×#10587625C2211yescharacteristic
61C2×#10587624C2211yescharacteristic, complemented
62C2×#10587568C2211yescharacteristic
63C2×#10587568C2211yescharacteristic
64C2×#10587639C2211yescharacteristic
65C2×#10587639C2211yescharacteristic
66C2×#10587623C2211yescharacteristic
67C2×C4×D68C2211yescharacteristic, complemented
68C2×C4×D68C2211yescharacteristic, complemented
69C2×C4×D68C2211yescharacteristic, complemented
70C2×C4×C22⋊D17—28no—
71C2×C4×C22⋊D17C2211yescharacteristic
72C2×C4×C22⋊D17C2211yescharacteristic
73C2×C4×C22⋊D17C2211yescharacteristic
74C2×C4×C22⋊D17C2211yescharacteristic
75C2×C4×C22⋊D17C2211yescharacteristic
76C2×C4×C22⋊D17C2211yescharacteristic
77C2×C4×C22⋊D17C2211yescharacteristic
78C2×C4×C22⋊D17C2211yescharacteristic
79C2×C4×C22⋊D17C2211yescharacteristic
80C2×C4×C22⋊D17C2211yescharacteristic
81C2×C4×C22⋊D17C2211yescharacteristic, complemented
82C2×C4×C22⋊D17C2211yescharacteristic, complemented
83C2×C4×C22⋊D17C2211yescharacteristic, complemented
84C2×C4×C22⋊D17C2211yescharacteristic, complemented
85C2×#10587567C2211yescharacteristic
86C2×#10587567C2211yescharacteristic
87C2×#10587612C2211yescharacteristic, complemented
88C2×#10587558C2211yescharacteristic, complemented
89C22×#63225C2211yescharacteristic
90C22×C22⋊Dic17C2211yescharacteristic
91C22×#63227C2211yescharacteristic
92C22×C4×Dic17C2211yescharacteristic
93C2×C42×D17C2211yescharacteristic, complemented
94#11762743C2211yescharacteristic, complemented
95#11762742C2211yescharacteristic, complemented
96#11762738C2211yescharacteristic, complemented
97#11762737C2211yescharacteristic, complemented
98#11762733C2211yescharacteristic, complemented
99#11762732C2211yescharacteristic, complemented
100#11762732C2211yescharacteristic, complemented
101#11762731C2211yescharacteristic, complemented
102#11762730C2211yescharacteristic, complemented
103#11762729C2211yescharacteristic, complemented
104#11762727C2211yescharacteristic, complemented
105#11762727C2211yescharacteristic, complemented
106#11762726C2211yescharacteristic, complemented
107#11762725C2211yescharacteristic, complemented
108#11762725C2211yescharacteristic, complemented
109#11762725C2211yescharacteristic, complemented
110#11762724C2211yescharacteristic
111#11762724C2211yescharacteristic
112#11762724C2211yescharacteristic, complemented
113#11762724C2211yescharacteristic, complemented
114#11762724C2211yescharacteristic, complemented
115#11762723C2211yescharacteristic, complemented
116#11762722C2211yescharacteristic, complemented
117#11762721C2211yescharacteristic, complemented
118#11762719C2211yescharacteristic, complemented
119#11762718C2211yescharacteristic
120#11762718C2211yescharacteristic
121#11762718C2211yescharacteristic
122#11762718C2211yescharacteristic
123#11762717C2211yescharacteristic
124#11762717C2211yescharacteristic
125#11762717C2211yescharacteristic, complemented
126#11762712C2211yescharacteristic, complemented
127#11762710C2211yescharacteristic, complemented
128#11762709C2211yescharacteristic
129#11762709C2211yescharacteristic
130#11762709C2211yescharacteristic
131#11762709C2211yescharacteristic
132#11762709C2211yescharacteristic, complemented
133#11762709C2211yescharacteristic, complemented
134#11762709C2211yescharacteristic, complemented
135#11762709C2211yescharacteristic, complemented
136#11762706C2211yescharacteristic, complemented
137#11762706C2211yescharacteristic, complemented
138#11762706C2211yescharacteristic, complemented
139#11762704C2211yescharacteristic, complemented
140#11762703C2211yescharacteristic, complemented
141#11762702C2211yescharacteristic, complemented
142#11762701C2211yescharacteristic, complemented
143#11762701C2211yescharacteristic, complemented
144#11762699C2211yescharacteristic, complemented
145#11762698C2211yescharacteristic, complemented
146#11762697C2211yescharacteristic, complemented
147#11762697C2211yescharacteristic, complemented
148#11762689C2211yescharacteristic
149#11762687C2211yescharacteristic, complemented
150#11762687C2211yescharacteristic, complemented
151#11762687C2211yescharacteristic, complemented
152#11762686C2211yescharacteristic
153#11762686C2211yescharacteristic
154#11762685C2211yescharacteristic, complemented
155#11762684C2211yescharacteristic
156#11762683C2211yescharacteristic, complemented
157#11762683C2211yescharacteristic, complemented
158#11762678C2211yescharacteristic, complemented
159#11762668C2211yescharacteristic, complemented
160#11762667C2211yescharacteristic
161#11762664C2211yescharacteristic
162C4×#63225C2211yescharacteristic, complemented
163C4×#63225C2211yescharacteristic, complemented
164#11762660C2211yescharacteristic, complemented
165#11762660C2211yescharacteristic, complemented
166C22⋊C4×Dic17C2211yescharacteristic
167C22⋊C4×Dic17C2211yescharacteristic
168C4×#63227C2211yescharacteristic, complemented
169C4×#63227C2211yescharacteristic, complemented
170C4×#63227C2211yescharacteristic, complemented
171C4×#63227C2211yescharacteristic, complemented
172C4×C22⋊Dic17C2211yescharacteristic, complemented
173#11762656C2211yescharacteristic, complemented
174#11762656C2211yescharacteristic, complemented
175C42×Dic17C2211yescharacteristic, complemented
176C24×C4×C17C2211yescharacteristic
177C2×C17×#120C2211yescharacteristic
178C2×C4×D4×C17C2211yescharacteristic
179C2×C4×D4×C17C2211yescharacteristic, complemented
180C2×C4×D4×C17C2211yescharacteristic, complemented
181C17×#386C2211yescharacteristic
182C17×#386C2211yescharacteristic, complemented
183C17×#386C2211yescharacteristic, complemented
184C17×#385C2211yescharacteristic
185C17×#385C2211yescharacteristic, complemented
186C17×#385C2211yescharacteristic, complemented
187C17×#379C2211yescharacteristic
188C4×C22⋊C4×C17C2211yescharacteristic
189C4×C22⋊C4×C17C2211yescharacteristic, complemented
190C4×C22⋊C4×C17C2211yescharacteristic, complemented
191C25×C17C2311yescharacteristic
192C24×D17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C23×C4×C17—24no—
197C23×C4×C17—24no—
198C23×C4×C17—42no—
199C23×C4×C17C2311yescharacteristic
200C23×C4×C17C2311yescharacteristic
201C23×C4×C17C2311yescharacteristic
202C23×C4×C17C2311yescharacteristic
203C23×C4×C17C2311yescharacteristic
204C23×C4×C17C2311yescharacteristic
205C23×C4×C17C2311yescharacteristic
206C22×C22⋊D17—24no—
207C22×C22⋊D17—24no—
208C22×C22⋊D17—24no—
209C22×C22⋊D17C2311yescharacteristic
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic
212C22×C22⋊D17C2311yescharacteristic
213C22×C22⋊D17C2311yescharacteristic
214C22×C22⋊D17C2311yescharacteristic
215C22×C22⋊D17C2311yescharacteristic
216C22×C22⋊D17C2311yescharacteristic
217C22×C22⋊D17C2311yescharacteristic
218C22×C22⋊D17C2311yescharacteristic
219C22×C22⋊D17C2311yescharacteristic
220C22×C22⋊D17C2311yescharacteristic
221C22×C22⋊D17C2311yescharacteristic
222C22×C22⋊D17C2311yescharacteristic
223C23×Dic17C2311yescharacteristic
224C23×Dic17C2311yescharacteristic
225C23×Dic17C2311yescharacteristic
226C2×#63252—24no—
227C2×#63252—24no—
228C2×#63252—24no—
229C2×#63252—24no—
230C2×#63252—42no—
231C2×#63252—42no—
232C22×D68C2311yescharacteristic
233C22×D68C2311yescharacteristic
234C22×D68C2311yescharacteristic
235C22×D68C2311yescharacteristic
236C22×D68C2311yescharacteristic
237C22×C4×D17—24no—
238C22×C4×D17—24no—
239C22×C4×D17—42no—
240C22×C4×D17C2311yescharacteristic
241C22×C4×D17C2311yescharacteristic
242C22×C4×D17C2311yescharacteristic
243C22×C4×D17C2311yescharacteristic
244C22×C4×D17C2311yescharacteristic
245C22×C4×D17C2311yescharacteristic
246C22×C4×D17C2311yescharacteristic
247C22×C4×D17C2311yescharacteristic
248C22×Dic34C2311yescharacteristic
249C22×Dic34C2311yescharacteristic
250C17×#120—24no—
251C4×D4×C17—24no—
252C4×D4×C17—24no—
253C4×D4×C17—42no—
254C2×C4⋊C4×C17C2311yescharacteristic
255C2×C4⋊C4×C17C2311yescharacteristic
256C2×C4⋊C4×C17C2311yescharacteristic
257C2×C22⋊C4×C17C2311yescharacteristic
258C2×C22⋊C4×C17C2311yescharacteristic
259C2×C22⋊C4×C17C2311yescharacteristic
260C2×C22⋊C4×C17C2311yescharacteristic
261C2×C22⋊C4×C17C2311yescharacteristic
262C2×C22⋊C4×C17C2311yescharacteristic
263C2×C22⋊C4×C17C2311yescharacteristic
264C2×C22⋊C4×C17C2311yescharacteristic
265C2×C22⋊C4×C17C2311yescharacteristic
266C2×C22⋊C4×C17C2311yescharacteristic
267C2×C22⋊C4×C17C2311yescharacteristic
268C2×C22⋊C4×C17C2311yescharacteristic
269C2×C42×C17C2311yescharacteristic
270C2×C42×C17C2311yescharacteristic
271C2×C42×C17C2311yescharacteristic
272#10587639—24no—
273#10587639—24no—
274C2×C22⋊Dic17—24no—
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
289#10587626—24no—
290#10587626—24no—
291#10587625—24no—
292#10587625—24no—
293#10587624—24no—
294#10587623—24no—
295#10587616—24no—
296#10587616—24no—
297#10587615—24no—
298#10587615—24no—
299C4×C22⋊D17—24no—
300C4×C22⋊D17—24no—
301C4×C22⋊D17—24no—
302C4×C22⋊D17—24no—
303C4×C22⋊D17—24no—
304C4×C22⋊D17—24no—
305C4×C22⋊D17—24no—
306C4×C22⋊D17—24no—
307C4×C22⋊D17—24no—
308C4×C22⋊D17—24no—
309C4×C22⋊D17—24no—
310C4×C22⋊D17—24no—
311C4×C22⋊D17D418yescomplemented
312C4×C22⋊D17D418yescomplemented
313C2×#63227—24no—
314C2×#63227C2311yescharacteristic
315C2×#63227C2311yescharacteristic
316C2×#63227C2311yescharacteristic
317C2×#63227C2311yescharacteristic
318C2×#63227C2311yescharacteristic
319C2×#63227C2311yescharacteristic
320C2×#63227C2311yescharacteristic
321C2×#63227C2311yescharacteristic
322C2×#63227C2311yescharacteristic
323C2×#63227C2311yescharacteristic
324C2×#63227C2311yescharacteristic
325C2×#63227C2311yescharacteristic
326C2×#63227C2311yescharacteristic
327C2×#63227C2311yescharacteristic
328C2×#63227C2311yescharacteristic
329C2×#63227C2311yescharacteristic
330C2×#63227C2311yescharacteristic
331C2×#63227C2311yescharacteristic
332C2×#63227C2311yescharacteristic
333C2×#63227C2311yescharacteristic
334C2×#63227C2311yescharacteristic
335C2×#63227C2311yescharacteristic
336C2×#63227C2311yescharacteristic
337C2×#63227C2311yescharacteristic
338C2×#63227C2311yescharacteristic
339C2×#63227C2311yescharacteristic
340#10587612—24no—
341C2×C4⋊Dic17C2311yescharacteristic
342C2×C4⋊Dic17C2311yescharacteristic
343C2×C4⋊Dic17C2311yescharacteristic
344C2×C4⋊Dic17C2311yescharacteristic
345C2×C4⋊Dic17C2311yescharacteristic
346#10587610—24no—
347#10587610—24no—
348C2×#63225—24no—
349C2×#63225C2311yescharacteristic
350C2×#63225C2311yescharacteristic
351C2×#63225C2311yescharacteristic
352C2×#63225C2311yescharacteristic
353C2×#63225C2311yescharacteristic
354C2×#63225C2311yescharacteristic
355C2×#63225C2311yescharacteristic
356C2×#63225C2311yescharacteristic
357C2×#63225C2311yescharacteristic
358C2×#63225C2311yescharacteristic
359C2×#63225C2311yescharacteristic
360C2×#63225C2311yescharacteristic
361C2×#63225C2311yescharacteristic
362C2×#63225C2311yescharacteristic
363C2×#63225C2311yescharacteristic
364C2×#63225C2311yescharacteristic
365C2×C4×Dic17—24no—
366C2×C4×Dic17C2311yescharacteristic
367C2×C4×Dic17C2311yescharacteristic
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
377C2×C4×Dic17C2311yescharacteristic
378#10587582—24no—
379#10587581—24no—
380#10587580—24no—
381#10587574—24no—
382#10587571—24no—
383#10587571—24no—
384#10587570—24no—
385#10587570—24no—
386#10587570—24no—
387#10587570—24no—
388#10587569—24no—
389#10587568—24no—
390#10587568—24no—
391#10587567—24no—
392#10587567—24no—
393#10587564—24no—
394C4×D68—24no—
395C4×D68—24no—
396C4×D68—42no—
397#10587558—24no—
398C42×D17—24no—
399C17×#95C2311yescharacteristic
400C17×#95C2311yescharacteristic
401C17×#95C2311yescharacteristic
402C17×#95C2311yescharacteristic
403C17×#95C2311yescharacteristic
404C17×#95C2311yescharacteristic
405#10587502C2311yescharacteristic
406#10587502C2311yescharacteristic
407#10587502C2311yescharacteristic
408#10587502C2311yescharacteristic
409#10587502C2311yescharacteristic
410#10587502C2311yescharacteristic
411#10587502C2311yescharacteristic
412#10587502C2311yescharacteristic
413#10587502C2311yescharacteristic
414#10587502C2311yescharacteristic
415#10587502C2311yescharacteristic
416#10587502C2311yescharacteristic
417#10587502C2311yescharacteristic
418#10587502C2311yescharacteristic
419C24×C17—22no—
420C24×C17—22no—
421C24×C17—22no—
422C24×C17—22no—
423C24×C17—22no—
424C24×C17—41no—
425C24×C17—41no—
426C24×C17C2411yescharacteristic
427C24×C17C2411yescharacteristic
428C24×C17C2411yescharacteristic
429C24×C17C2411yescharacteristic
430C23×D17—22no—
431C23×D17—22no—
432C23×D17—22no—
433C23×D17—22no—
434C23×D17—22no—
435C23×D17—41no—
436C23×D17—41no—
437C23×D17C2411yescharacteristic
438C23×D17C2411yescharacteristic
439C23×D17C2411yescharacteristic
440C23×D17C2411yescharacteristic
441C2×D4×C17—22no—
442C2×D4×C17—22no—
443C2×D4×C17—22no—
444C2×D4×C17—22no—
445C2×D4×C17—22no—
446C2×D4×C17—22no—
447C2×D4×C17—22no—
448C2×D4×C17—41no—
449C2×D4×C17—41no—
450C22×C4×C17—22no—
451C22×C4×C17—22no—
452C22×C4×C17—22no—
453C22×C4×C17—22no—
454C22×C4×C17—22no—
455C22×C4×C17—22no—
456C22×C4×C17—22no—
457C22×C4×C17—22no—
458C22×C4×C17—22no—
459C22×C4×C17—22no—
460C22×C4×C17—22no—
461C22×C4×C17—22no—
462C22×C4×C17—22no—
463C22×C4×C17—22no—
464C22×C4×C17—22no—
465C22×C4×C17—22no—
466C22×C4×C17—41no—
467C22×C4×C17—41no—
468C22×C4×C17—41no—
469C22×C4×C17—416no—
470C22×C4×C17C2×D414yes—
471C22×C4×C17C2×D414yes—
472C22×C4×C17C2411yescharacteristic
473C22×C4×C17C2411yescharacteristic
474C22×C4×C17C2411yescharacteristic
475C22×C4×C17C2411yescharacteristic
476C22×C4×C17C2411yescharacteristic
477C22×C4×C17C2411yescharacteristic
478C22×C4×C17C2411yescharacteristic
479C22×C4×C17C2411yescharacteristic
480C22×C4×C17C2411yescharacteristic
481C22×C4×C17C2411yescharacteristic
482C22×C4×C17C2411yescharacteristic
483C2×C22⋊D17—232no—
484C2×C22⋊D17—22no—
485C2×C22⋊D17—22no—
486C2×C22⋊D17—22no—
487C2×C22⋊D17—22no—
488C2×C22⋊D17—22no—
489C2×C22⋊D17—22no—
490C2×C22⋊D17—22no—
491C2×C22⋊D17—22no—
492C2×C22⋊D17—22no—
493C2×C22⋊D17—22no—
494C2×C22⋊D17—22no—
495C2×C22⋊D17—22no—
496C2×C22⋊D17—22no—
497C2×C22⋊D17—22no—
498C2×C22⋊D17—22no—
499C2×C22⋊D17—22no—
500C2×C22⋊D17—22no—
501C2×C22⋊D17—22no—
502C2×C22⋊D17—22no—
503C2×C22⋊D17—22no—
504C2×C22⋊D17—22no—
505C2×C22⋊D17—22no—
506C2×C22⋊D17—22no—
507C2×C22⋊D17—22no—
508C2×C22⋊D17—22no—
509C2×C22⋊D17—22no—
510C2×C22⋊D17—22no—
511C2×C22⋊D17—22no—
512C2×C22⋊D17—22no—
513C2×C22⋊D17—22no—
514C2×C22⋊D17—22no—
515C2×C22⋊D17—22no—
516C2×C22⋊D17—41no—
517C2×C22⋊D17—41no—
518C2×C22⋊D17—41no—
519C2×C22⋊D17—41no—
520C2×C22⋊D17—41no—
521C2×C22⋊D17—41no—
522C2×C22⋊D17—41no—
523C2×C22⋊D17C2×D414yes—
524C2×C22⋊D17C2×D414yes—
525C2×C22⋊D17#4114yescomplemented
526C22×Dic17—22no—
527C22×Dic17—22no—
528C22×Dic17—22no—
529C22×Dic17—22no—
530C22×Dic17—22no—
531C22×Dic17—22no—
532C22×Dic17—41no—
533C22×Dic17—41no—
534C22×Dic17#4114yescomplemented
535C22×Dic17C2411yescharacteristic
536C22×Dic17C2411yescharacteristic
537C22×Dic17C2411yescharacteristic
538C22×Dic17C2411yescharacteristic
539C22×Dic17C2411yescharacteristic
540C22×Dic17C2411yescharacteristic
541C22×Dic17C2411yescharacteristic
542C22×Dic17C2411yescharacteristic
543C22×Dic17C2411yescharacteristic
544C22×Dic17C2411yescharacteristic
545C22×Dic17C2411yescharacteristic
546C22×Dic17C2411yescharacteristic
547#63252—416no—
548#63252—416no—
549C2×D68—22no—
550C2×D68—22no—
551C2×D68—22no—
552C2×D68—22no—
553C2×D68—22no—
554C2×D68—22no—
555C2×D68—22no—
556C2×D68—22no—
557C2×D68—22no—
558C2×D68—22no—
559C2×D68—41no—
560C2×D68—41no—
561C2×D68—41no—
562C2×D68—41no—
563C2×D68—41no—
564C2×C4×D17—22no—
565C2×C4×D17—22no—
566C2×C4×D17—22no—
567C2×C4×D17—22no—
568C2×C4×D17—22no—
569C2×C4×D17—22no—
570C2×C4×D17—22no—
571C2×C4×D17—22no—
572C2×C4×D17—22no—
573C2×C4×D17—22no—
574C2×C4×D17—22no—
575C2×C4×D17—22no—
576C2×C4×D17—22no—
577C2×C4×D17—22no—
578C2×C4×D17—22no—
579C2×C4×D17—22no—
580C2×C4×D17—22no—
581C2×C4×D17—22no—
582C2×C4×D17—22no—
583C2×C4×D17—416no—
584C2×C4×D17—41no—
585C2×C4×D17—41no—
586C2×C4×D17—41no—
587C2×C4×D17C2×D414yes—
588C2×C4×D17C2×D414yescomplemented
589C2×Dic34—22no—
590C2×Dic34—22no—
591C2×Dic34—22no—
592C2×Dic34—22no—
593C2×Dic34—41no—
594C2×Dic34—41no—
595C4⋊C4×C17—22no—
596C4⋊C4×C17—22no—
597C4⋊C4×C17—41no—
598C22⋊C4×C17—22no—
599C22⋊C4×C17—22no—
600C22⋊C4×C17—22no—
601C22⋊C4×C17—22no—
602C22⋊C4×C17—22no—
603C22⋊C4×C17—22no—
604C22⋊C4×C17—22no—
605C22⋊C4×C17—22no—
606C22⋊C4×C17—41no—
607C22⋊C4×C17—41no—
608C22⋊C4×C17—41no—
609C22⋊C4×C17#4114yescomplemented
610C42×C17—22no—
611C42×C17—22no—
612C42×C17—22no—
613C22⋊Dic17—22no—
614C22⋊Dic17—22no—
615C22⋊Dic17—22no—
616C22⋊Dic17—22no—
617C22⋊Dic17—22no—
618C22⋊Dic17—22no—
619C22⋊Dic17—22no—
620C22⋊Dic17—22no—
621C22⋊Dic17—22no—
622C22⋊Dic17—22no—
623C22⋊Dic17—22no—
624C22⋊Dic17—41no—
625C22⋊Dic17C2×D414yes—
626C22⋊Dic17C2×D414yes—
627#63227—22no—
628#63227—22no—
629#63227—22no—
630#63227—22no—
631#63227—22no—
632#63227—22no—
633#63227—22no—
634#63227—22no—
635#63227—22no—
636#63227—22no—
637#63227—22no—
638#63227—22no—
639#63227—22no—
640#63227—22no—
641#63227—22no—
642#63227—22no—
643#63227—22no—
644#63227—22no—
645#63227—22no—
646#63227—22no—
647#63227—41no—
648#63227—41no—
649#63227—41no—
650#63227—41no—
651#63227C2×D414yes—
652#63227C2×D414yescomplemented
653C4⋊Dic17—22no—
654C4⋊Dic17—22no—
655C4⋊Dic17—22no—
656C4⋊Dic17—22no—
657C4⋊Dic17—41no—
658#63225—22no—
659#63225—22no—
660#63225—22no—
661#63225—22no—
662#63225—22no—
663#63225—22no—
664#63225—22no—
665#63225—22no—
666#63225—22no—
667#63225—22no—
668#63225—22no—
669#63225—22no—
670#63225—22no—
671#63225—22no—
672#63225C2×D414yes—
673#63225C2×D414yescomplemented
674C4×Dic17—22no—
675C4×Dic17—22no—
676C4×Dic17—22no—
677C4×Dic17—22no—
678C4×Dic17—22no—
679C4×Dic17—22no—
680C4×Dic17—22no—
681C4×Dic17—22no—
682C4×Dic17—22no—
683C4×Dic17—41no—
684C4×Dic17C2×D414yes—
685C4×Dic17C2×D414yescomplemented
686#34681—171nomaximal, Sylow
687C23×C17—21no—
688C23×C17—21no—
689C23×C17—21no—
690C23×C17—21no—
691C23×C17—28no—
692C23×C17—21no—
693C23×C17—21no—
694C23×C17—21no—
695C23×C17—21no—
696C23×C17—21no—
697C23×C17—21no—
698C23×C17—21no—
699C23×C17—21no—
700C23×C17—21no—
701C23×C17—21no—
702C23×C17—21no—
703C23×C17—21no—
704C23×C17—21no—
705C23×C17—21no—
706C23×C17—21no—
707C23×C17—21no—
708C23×C17—21no—
709C23×C17—21no—
710C23×C17—21no—
711C23×C17—44no—
712C23×C17—44no—
713C23×C17—44no—
714C23×C17—44no—
715C23×C17—44no—
716C23×C17—44no—
717C23×C17C22×D412yes—
718C23×C17C22×D412yes—
719C23×C17C2×#4112yes—
720C23×C17C2×#4112yes—
721C23×C17C2×#4112yes—
722C23×C17C2511yescharacteristic
723C22×D17—28no—
724C22×D17—21no—
725C22×D17—21no—
726C22×D17—21no—
727C22×D17—21no—
728C22×D17—21no—
729C22×D17—21no—
730C22×D17—21no—
731C22×D17—21no—
732C22×D17—21no—
733C22×D17—21no—
734C22×D17—21no—
735C22×D17—21no—
736C22×D17—21no—
737C22×D17—21no—
738C22×D17—21no—
739C22×D17—21no—
740C22×D17—21no—
741C22×D17—21no—
742C22×D17—21no—
743C22×D17—21no—
744C22×D17—21no—
745C22×D17—21no—
746C22×D17—21no—
747C22×D17—21no—
748C22×D17—21no—
749C22×D17—44no—
750C22×D17—44no—
751C22×D17—44no—
752C22×D17—44no—
753C22×D17—44no—
754C22×D17—44no—
755C22×D17C22×D412yes—
756C22×D17C22×D412yes—
757C22×D17C2×#4112yes—
758D4×C17—44no—
759D4×C17—44no—
760D4×C17—44no—
761C2×C4×C17—21no—
762C2×C4×C17—21no—
763C2×C4×C17—21no—
764C2×C4×C17—21no—
765C2×C4×C17—21no—
766C2×C4×C17—21no—
767C2×C4×C17—21no—
768C2×C4×C17—21no—
769C2×C4×C17—28no—
770C2×C4×C17—28no—
771C2×C4×C17—21no—
772C2×C4×C17—21no—
773C2×C4×C17—21no—
774C2×C4×C17—21no—
775C2×C4×C17—21no—
776C2×C4×C17—21no—
777C2×C4×C17—21no—
778C2×C4×C17—21no—
779C2×C4×C17—21no—
780C2×C4×C17—21no—
781C2×C4×C17—21no—
782C2×C4×C17—21no—
783C2×C4×C17—21no—
784C2×C4×C17—21no—
785C2×C4×C17—21no—
786C2×C4×C17—21no—
787C2×C4×C17—21no—
788C2×C4×C17—21no—
789C2×C4×C17—44no—
790C2×C4×C17—44no—
791C2×C4×C17—44no—
792C2×C4×C17—44no—
793C2×C4×C17—44no—
794C2×C4×C17C22×D412yes—
795C2×C4×C17C22×D412yes—
796C2×C4×C17C22×D412yes—
797C2×C4×C17C22×D412yes—
798C2×C4×C17C2×#4112yes—
799C2×C4×C17C2×#4112yes—
800C2×C4×C17H(5,𝔽2)12yes—
801C22⋊D17—28no—
802C22⋊D17—28no—
803C22⋊D17—28no—
804C22⋊D17—28no—
805C22⋊D17—28no—
806C22⋊D17—44no—
807C22⋊D17—44no—
808C22⋊D17—44no—
809C22⋊D17—44no—
810C22⋊D17—44no—
811C22⋊D17—44no—
812C22⋊D17—44no—
813C22⋊D17—44no—
814C22⋊D17—44no—
815C2×Dic17—21no—
816C2×Dic17—21no—
817C2×Dic17—21no—
818C2×Dic17—21no—
819C2×Dic17—21no—
820C2×Dic17—21no—
821C2×Dic17—21no—
822C2×Dic17—21no—
823C2×Dic17—21no—
824C2×Dic17—21no—
825C2×Dic17—21no—
826C2×Dic17—21no—
827C2×Dic17—28no—
828C2×Dic17—21no—
829C2×Dic17—21no—
830C2×Dic17—21no—
831C2×Dic17—21no—
832C2×Dic17—21no—
833C2×Dic17—21no—
834C2×Dic17—21no—
835C2×Dic17—21no—
836C2×Dic17—21no—
837C2×Dic17—21no—
838C2×Dic17—21no—
839C2×Dic17—21no—
840C2×Dic17—21no—
841C2×Dic17—21no—
842C2×Dic17—21no—
843C2×Dic17—44no—
844C2×Dic17—44no—
845C2×Dic17C22×D412yes—
846C2×Dic17C22×D412yes—
847C2×Dic17C22×D412yes—
848C2×Dic17C22×D412yes—
849C2×Dic17C22×D412yes—
850C2×Dic17C22×D412yes—
851C2×Dic17C2×#4112yes—
852C2×Dic17C2×#4112yes—
853C2×Dic17C2×#4112yes—
854D68—44no—
855D68—44no—
856D68—44no—
857D68—44no—
858D68—44no—
859C4×D17—28no—
860C4×D17—28no—
861C4×D17—44no—
862C4×D17—44no—
863C4×D17—44no—
864C4×D17—44no—
865C4×D17—44no—
866C4×D17—44no—
867Dic34—44no—
868Dic34—44no—
869C2×#532—171no—
870C2×#525—171no—
871C2×#525—171no—
872C22×C4×D4—171no—
873#2472—171no—
874#2472—171no—
875#2464—171no—
876#2464—171no—
877#2461—171no—
878#2461—171no—
879#2452—171no—
880#2445—171no—
881#2440—171no—
882#2433—171no—
883#2428—171no—
884#2424—171no—
885#2424—171no—
886#2422—171no—
887#2416—171no—
888#2408—171no—
889#2392—171no—
890#2392—171no—
891#2388—171no—
892#2388—171no—
893C4×#127—171no—
894C4×#121—171no—
895C4×#121—171no—
896C4×#120—171no—
897C4×#120D1711yescharacteristic, complemented
898#2293—171no—
899C42×D4—171no—
900C22×C17—22no—
901C22×C17—22no—
902C22×C17—22no—
903C22×C17—22no—
904C22×C17—22no—
905C22×C17—22no—
906C22×C17—22no—
907C22×C17—22no—
908C22×C17—22no—
909C22×C17—22no—
910C22×C17—22no—
911C22×C17—22no—
912C22×C17—416no—
913C22×C17—41no—
914C22×C17—41no—
915C22×C17—41no—
916C22×C17—41no—
917C22×C17—41no—
918C22×C17—41no—
919C22×C17—41no—
920C22×C17—41no—
921C22×C17—41no—
922C22×C17—41no—
923C22×C17—41no—
924C22×C17—41no—
925C22×C17—41no—
926C22×C17—41no—
927C22×C17—41no—
928C22×C17#53214yescomplemented
929C22×C17C23×D411yescharacteristic
930C22×C17C23×D411yescharacteristic
931C22×C17C22×#4111yescharacteristic
932C22×C17C22×#4111yescharacteristic
933C22×C17C22×#4111yescharacteristic
934C22×C17C2×H(5,𝔽2)11yescharacteristic
935C22×C17#58511yescharacteristic
936C2×D17—22no—
937C2×D17—22no—
938C2×D17—22no—
939C2×D17—22no—
940C2×D17—22no—
941C2×D17—22no—
942C2×D17—22no—
943C2×D17—22no—
944C2×D17—22no—
945C2×D17—416no—
946C2×D17—41no—
947C2×D17—41no—
948C2×D17—41no—
949C2×D17—41no—
950C2×D17—41no—
951C2×D17—41no—
952C2×D17—41no—
953C2×D17—41no—
954C2×D17—41no—
955C2×D17—41no—
956C2×D17—41no—
957C2×D17—41no—
958C2×D17—41no—
959C2×D17—41no—
960C2×D17—41no—
961C2×D17—41no—
962C2×D17—41no—
963C2×D17—41no—
964C2×D17—41no—
965C4×C17—22no—
966C4×C17—22no—
967C4×C17—22no—
968C4×C17—22no—
969C4×C17—41no—
970C4×C17—41no—
971C4×C17—41no—
972C4×C17—41no—
973C4×C17—41no—
974C4×C17—41no—
975C4×C17D4214yes—
976Dic17—22no—
977Dic17—22no—
978Dic17—22no—
979Dic17—22no—
980Dic17—22no—
981Dic17—22no—
982Dic17—41no—
983Dic17—41no—
984Dic17—41no—
985Dic17—41no—
986Dic17—41no—
987Dic17#52514yescomplemented
988C22×#41—171no—
989C22×#41—171no—
990C23×D4—171no—
991C24×C4—171no—
992C24×C4C2×D1711yescharacteristic
993#532—348no—
994C2×C4⋊Q8—171no—
995C2×#127—171no—
996C2×#127—171no—
997C2×#124—171no—
998C2×#124—171no—
999#525—348no—
1000#525—348no—
1001C2×#123—171no—
1002C2×#123—171no—
1003C2×#123—171no—
1004C2×#123—171no—
1005C2×C22⋊Q8—171no—
1006C2×C22⋊Q8—171no—
1007C2×C22⋊Q8—171no—
1008C2×C22⋊Q8—171no—
1009C2×#121—171no—
1010C2×#121—171no—
1011C2×#121—171no—
1012C2×#121—171no—
1013C2×#121—171no—
1014C2×#121—171no—
1015C2×#121—171no—
1016C2×#121—171no—
1017C2×#121—171no—
1018C2×#121—171no—
1019C2×#120—171no—
1020C2×#120—171no—
1021C2×#120—171no—
1022C2×#120—171no—
1023C2×#120—171no—
1024C2×#120C2×D1711yescharacteristic
1025C2×C4×D4—171no—
1026C2×C4×D4—171no—
1027C2×C4×D4—171no—
1028C2×C4×D4—171no—
1029C2×C4×D4—171no—
1030C2×C4×D4—171no—
1031C2×C4×D4—171no—
1032C2×C4×D4—171no—
1033C2×C4×D4—171no—
1034C2×C4×D4—171no—
1035C2×C4×D4—171no—
1036C2×C4×D4—171no—
1037C2×C4×D4—171no—
1038C2×C4×D4—171no—
1039C2×C4×D4—171no—
1040C2×C4×D4—171no—
1041C2×C4×D4—171no—
1042C2×C4×D4—171no—
1043C2×C4×D4—171no—
1044C2×C4×D4—348no—
1045C2×C4×D4C2×D1711yescharacteristic
1046C2×C4×D4C2×D1711yescharacteristic, complemented
1047C2×C4×D4C2×D1711yescharacteristic, complemented
1048C2×#117—171no—
1049C2×#117—171no—
1050C22×C4⋊C4—171no—
1051C22×C22⋊C4—171no—
1052C22×C22⋊C4—171no—
1053C22×C42—171no—
1054C22×C42—171no—
1055#398—171no—
1056#398—171no—
1057#397—171no—
1058#397—171no—
1059#396—171no—
1060#396—171no—
1061#396—171no—
1062#396—171no—
1063#395—171no—
1064#395—171no—
1065#394—171no—
1066#394—171no—
1067#394—171no—
1068#394—171no—
1069#394—171no—
1070#394—171no—
1071#394—171no—
1072#394—171no—
1073#394—171no—
1074#394—171no—
1075#394—171no—
1076#394—171no—
1077#393—171no—
1078#393—171no—
1079#392—171no—
1080#392—171no—
1081#392—171no—
1082#392—171no—
1083#392—171no—
1084#392—171no—
1085#392—171no—
1086#392—171no—
1087#390—171no—
1088#390—171no—
1089#390—171no—
1090#390—171no—
1091#390—171no—
1092#390—171no—
1093#390—171no—
1094#390—171no—
1095#390—171no—
1096#390—171no—
1097#389—171no—
1098#389—171no—
1099#389—171no—
1100#389—171no—
1101#388—171no—
1102#388—171no—
1103#388—171no—
1104#388—171no—
1105#388—171no—
1106#388—171no—
1107#388—171no—
1108#388—171no—
1109#386—171no—
1110#386—171no—
1111#386—171no—
1112#386—171no—
1113#386—171no—
1114#386—171no—
1115#386—171no—
1116#386C2×D1711yescharacteristic
1117#386C2×D1711yescharacteristic, complemented
1118#386C2×D1711yescharacteristic, complemented
1119#385—171no—
1120#385—171no—
1121#385—171no—
1122#385C2×D1711yescharacteristic
1123#385C2×D1711yescharacteristic, complemented
1124#385C2×D1711yescharacteristic, complemented
1125#384—171no—
1126#380—171no—
1127#380—171no—
1128#379—171no—
1129#379C2×D1711yescharacteristic
1130C4×C4⋊C4—171no—
1131C4×C4⋊C4—171no—
1132C4×C4⋊C4—171no—
1133C4×C4⋊C4—171no—
1134C4×C22⋊C4—171no—
1135C4×C22⋊C4—171no—
1136C4×C22⋊C4—171no—
1137C4×C22⋊C4—171no—
1138C4×C22⋊C4—171no—
1139C4×C22⋊C4—171no—
1140C4×C22⋊C4—171no—
1141C4×C22⋊C4—171no—
1142C4×C22⋊C4—171no—
1143C4×C22⋊C4C2×D1711yescharacteristic
1144C4×C22⋊C4C2×D1711yescharacteristic, complemented
1145C4×C22⋊C4C2×D1711yescharacteristic, complemented
1146C43—171no—
1147C2×C17—24no—
1148C2×C17—42no—
1149C2×C17—42no—
1150C2×C17—81no—
1151C2×C17C2×#52511yescharacteristic
1152C2×C17C2×#53211yescharacteristic
1153C2×C17#346011yescharacteristic
1154C2×C17C2×D4211yescharacteristic
1155C2×C17D4×#4111yescharacteristic
1156C2×C17D4×#4111yescharacteristic
1157C2×C17#348111yescharacteristic
1158D17—42no—
1159D17—42no—
1160D17—42no—
1161D17—81no—
1162C25—171no—
1163C25C22×D1711yescharacteristic
1164C2×#41—344no—
1165C2×#41—344no—
1166C2×#41—344no—
1167C2×#41—344no—
1168C2×#41—682no—
1169C2×#41—682no—
1170C22×Q8—171no—
1171C22×Q8—171no—
1172C22×D4—171no—
1173C22×D4—171no—
1174C22×D4—171no—
1175C22×D4—171no—
1176C22×D4—171no—
1177C22×D4—171no—
1178C22×D4—171no—
1179C22×D4—171no—
1180C22×D4—171no—
1181C22×D4—171no—
1182C22×D4—171no—
1183C22×D4—171no—
1184C22×D4—171no—
1185C22×D4—171no—
1186C22×D4—171no—
1187C22×D4—171no—
1188C22×D4—171no—
1189C22×D4—171no—
1190C22×D4—171no—
1191C22×D4—344no—
1192C22×D4—344no—
1193C22×D4—344no—
1194C22×D4C22×D1711yescharacteristic
1195C22×D4C22×D1711yescharacteristic
1196C22×D4C22×D1711yescharacteristic
1197C23×C4—24no—
1198C23×C4—24no—
1199C23×C4—42no—
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—344no—
1212C23×C4—344no—
1213C23×C4—682no—
1214C23×C4C22×D1711yescharacteristic
1215C23×C4C22×D1711yescharacteristic
1216C23×C4C22×D1711yescharacteristic
1217C23×C4C22×D1711yescharacteristic
1218C23×C4C22×D1711yescharacteristic
1219C23×C4C22×D1711yescharacteristic
1220C23×C4C22×D1711yescharacteristic
1221C4⋊Q8—344no—
1222#127—344no—
1223#127—344no—
1224#124—344no—
1225#124—344no—
1226#123—344no—
1227#123—344no—
1228#123—344no—
1229#123—344no—
1230C22⋊Q8—344no—
1231C22⋊Q8—344no—
1232C22⋊Q8—344no—
1233C22⋊Q8—344no—
1234#121—344no—
1235#121—344no—
1236#121—344no—
1237#121—344no—
1238#121—344no—
1239#121—344no—
1240#121—344no—
1241#121—344no—
1242#121—344no—
1243#121—344no—
1244#120—24no—
1245#120—344no—
1246#120—344no—
1247#120—344no—
1248#120—344no—
1249#120—344no—
1250C4×D4—24no—
1251C4×D4—24no—
1252C4×D4—42no—
1253C4×D4—178no—
1254C4×D4—178no—
1255C4×D4—344no—
1256C4×D4—344no—
1257C4×D4—344no—
1258C4×D4—344no—
1259C4×D4—344no—
1260C4×D4—344no—
1261C4×D4—344no—
1262C4×D4—344no—
1263C4×D4—344no—
1264C4×D4—344no—
1265C4×D4—344no—
1266C4×D4—344no—
1267C4×D4—344no—
1268C4×D4—344no—
1269C4×D4—344no—
1270C4×D4—344no—
1271C4×D4—682no—
1272#117—344no—
1273#117—344no—
1274C2×C4⋊C4—171no—
1275C2×C4⋊C4—171no—
1276C2×C4⋊C4—171no—
1277C2×C4⋊C4—171no—
1278C2×C4⋊C4—171no—
1279C2×C4⋊C4—171no—
1280C2×C4⋊C4—171no—
1281C2×C4⋊C4—171no—
1282C2×C4⋊C4—171no—
1283C2×C4⋊C4—171no—
1284C2×C4⋊C4—171no—
1285C2×C4⋊C4—171no—
1286C2×C4⋊C4—171no—
1287C2×C4⋊C4—171no—
1288C2×C4⋊C4—171no—
1289C2×C4⋊C4—171no—
1290C2×C4⋊C4—171no—
1291C2×C4⋊C4—171no—
1292C2×C4⋊C4—171no—
1293C2×C4⋊C4—171no—
1294C2×C4⋊C4—171no—
1295C2×C4⋊C4—344no—
1296C2×C4⋊C4C22×D1711yescharacteristic
1297C2×C4⋊C4C22×D1711yescharacteristic
1298C2×C4⋊C4C22×D1711yescharacteristic
1299C2×C22⋊C4—171no—
1300C2×C22⋊C4—171no—
1301C2×C22⋊C4—171no—
1302C2×C22⋊C4—171no—
1303C2×C22⋊C4—171no—
1304C2×C22⋊C4—171no—
1305C2×C22⋊C4—171no—
1306C2×C22⋊C4—171no—
1307C2×C22⋊C4—171no—
1308C2×C22⋊C4—171no—
1309C2×C22⋊C4—171no—
1310C2×C22⋊C4—171no—
1311C2×C22⋊C4—171no—
1312C2×C22⋊C4—171no—
1313C2×C22⋊C4—171no—
1314C2×C22⋊C4—171no—
1315C2×C22⋊C4—171no—
1316C2×C22⋊C4—171no—
1317C2×C22⋊C4—171no—
1318C2×C22⋊C4—171no—
1319C2×C22⋊C4—171no—
1320C2×C22⋊C4—171no—
1321C2×C22⋊C4—171no—
1322C2×C22⋊C4—171no—
1323C2×C22⋊C4—171no—
1324C2×C22⋊C4—171no—
1325C2×C22⋊C4—171no—
1326C2×C22⋊C4—171no—
1327C2×C22⋊C4—171no—
1328C2×C22⋊C4—171no—
1329C2×C22⋊C4—171no—
1330C2×C22⋊C4—171no—
1331C2×C22⋊C4—171no—
1332C2×C22⋊C4—171no—
1333C2×C22⋊C4—171no—
1334C2×C22⋊C4—171no—
1335C2×C22⋊C4—171no—
1336C2×C22⋊C4—171no—
1337C2×C22⋊C4—171no—
1338C2×C22⋊C4—171no—
1339C2×C22⋊C4—344no—
1340C2×C22⋊C4—344no—
1341C2×C22⋊C4C22×D1711yescharacteristic
1342C2×C22⋊C4C22×D1711yescharacteristic
1343C2×C22⋊C4C22×D1711yescharacteristic
1344C2×C22⋊C4C22×D1711yescharacteristic
1345C2×C22⋊C4C22×D1711yescharacteristic
1346C2×C22⋊C4C22×D1711yescharacteristic
1347C2×C22⋊C4C22×D1711yescharacteristic
1348C2×C22⋊C4C22×D1711yescharacteristic
1349C2×C22⋊C4C22×D1711yescharacteristic
1350C2×C22⋊C4C22×D1711yescharacteristic
1351C2×C22⋊C4C22×D1711yescharacteristic
1352C2×C22⋊C4C22×D1711yescharacteristic
1353C2×C42—171no—
1354C2×C42—171no—
1355C2×C42—171no—
1356C2×C42—171no—
1357C2×C42—171no—
1358C2×C42—171no—
1359C2×C42—171no—
1360C2×C42—171no—
1361C2×C42—171no—
1362C2×C42—171no—
1363C2×C42—171no—
1364C2×C42—171no—
1365C2×C42—344no—
1366C2×C42—344no—
1367C2×C42C22×D1711yescharacteristic
1368C2×C42C22×D1711yescharacteristic
1369C2×C42C22×D1711yescharacteristic
1370#95—171no—
1371#95—171no—
1372#95—171no—
1373#95—171no—
1374#95—171no—
1375#95—171no—
1376#95—171no—
1377#95—171no—
1378#95—171no—
1379#95—171no—
1380#95—171no—
1381#95—171no—
1382#95—171no—
1383#95—171no—
1384#95C22×D1711yescharacteristic
1385#95C22×D1711yescharacteristic
1386#95C22×D1711yescharacteristic
1387#95C22×D1711yescharacteristic
1388#95C22×D1711yescharacteristic
1389#95C22×D1711yescharacteristic
1390C17#3468111yescharacteristic, complemented, Sylow
1391C24—22no—
1392C24—22no—
1393C24—22no—
1394C24—22no—
1395C24—22no—
1396C24—41no—
1397C24—41no—
1398C24—171no—
1399C24—171no—
1400C24—171no—
1401C24—171no—
1402C24—342no—
1403C24—342no—
1404C24—342no—
1405C24—342no—
1406C24—342no—
1407C24—681no—
1408C24—681no—
1409C24C23×D1711yescharacteristic
1410C24C23×D1711yescharacteristic
1411C24C23×D1711yescharacteristic
1412C24C23×D1711yescharacteristic
1413#41—6816no—
1414#41—6816no—
1415C2×Q8—342no—
1416C2×Q8—342no—
1417C2×Q8—342no—
1418C2×Q8—342no—
1419C2×Q8—681no—
1420C2×Q8—681no—
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—22no—
1424C2×D4—22no—
1425C2×D4—22no—
1426C2×D4—22no—
1427C2×D4—22no—
1428C2×D4—41no—
1429C2×D4—41no—
1430C2×D4—174no—
1431C2×D4—174no—
1432C2×D4—174no—
1433C2×D4—342no—
1434C2×D4—342no—
1435C2×D4—342no—
1436C2×D4—342no—
1437C2×D4—342no—
1438C2×D4—342no—
1439C2×D4—342no—
1440C2×D4—342no—
1441C2×D4—342no—
1442C2×D4—342no—
1443C2×D4—342no—
1444C2×D4—342no—
1445C2×D4—342no—
1446C2×D4—342no—
1447C2×D4—342no—
1448C2×D4—342no—
1449C2×D4—342no—
1450C2×D4—342no—
1451C2×D4—342no—
1452C2×D4—342no—
1453C2×D4—342no—
1454C2×D4—342no—
1455C2×D4—342no—
1456C2×D4—3432no—
1457C2×D4—342no—
1458C2×D4—342no—
1459C2×D4—342no—
1460C2×D4—342no—
1461C2×D4—342no—
1462C2×D4—342no—
1463C2×D4—342no—
1464C2×D4—342no—
1465C2×D4—342no—
1466C2×D4—342no—
1467C2×D4—342no—
1468C2×D4—342no—
1469C2×D4—342no—
1470C2×D4—342no—
1471C2×D4—342no—
1472C2×D4—342no—
1473C2×D4—342no—
1474C2×D4—342no—
1475C2×D4—342no—
1476C2×D4—681no—
1477C2×D4—681no—
1478C2×D4—681no—
1479C2×D4—681no—
1480C2×D4—681no—
1481C2×D4—681no—
1482C2×D4—681no—
1483C2×D4—681no—
1484C2×D4—681no—
1485C2×D4—681no—
1486C2×D4—681no—
1487C2×D4—681no—
1488C22×C4—22no—
1489C22×C4—22no—
1490C22×C4—22no—
1491C22×C4—22no—
1492C22×C4—22no—
1493C22×C4—22no—
1494C22×C4—22no—
1495C22×C4—22no—
1496C22×C4—22no—
1497C22×C4—22no—
1498C22×C4—22no—
1499C22×C4—22no—
1500C22×C4—22no—
1501C22×C4—22no—
1502C22×C4—22no—
1503C22×C4—22no—
1504C22×C4—41no—
1505C22×C4—41no—
1506C22×C4—41no—
1507C22×C4—416no—
1508C22×C4—171no—
1509C22×C4—174no—
1510C22×C4—171no—
1511C22×C4—171no—
1512C22×C4—171no—
1513C22×C4—171no—
1514C22×C4—171no—
1515C22×C4—171no—
1516C22×C4—174no—
1517C22×C4—174no—
1518C22×C4—171no—
1519C22×C4—171no—
1520C22×C4—171no—
1521C22×C4—171no—
1522C22×C4—171no—
1523C22×C4—342no—
1524C22×C4—342no—
1525C22×C4—342no—
1526C22×C4—342no—
1527C22×C4—342no—
1528C22×C4—342no—
1529C22×C4—342no—
1530C22×C4—342no—
1531C22×C4—342no—
1532C22×C4—342no—
1533C22×C4—342no—
1534C22×C4—342no—
1535C22×C4—342no—
1536C22×C4—342no—
1537C22×C4—342no—
1538C22×C4—342no—
1539C22×C4—342no—
1540C22×C4—342no—
1541C22×C4—342no—
1542C22×C4—342no—
1543C22×C4—342no—
1544C22×C4—342no—
1545C22×C4—342no—
1546C22×C4—342no—
1547C22×C4—342no—
1548C22×C4—681no—
1549C22×C4—681no—
1550C22×C4—681no—
1551C22×C4—6816no—
1552C22×C4—681no—
1553C22×C4—681no—
1554C22×C4D4×D1714yes—
1555C22×C4D4×D1714yes—
1556C22×C4C23×D1711yescharacteristic
1557C22×C4C23×D1711yescharacteristic
1558C22×C4C23×D1711yescharacteristic
1559C22×C4C23×D1711yescharacteristic
1560C22×C4C23×D1711yescharacteristic
1561C22×C4C23×D1711yescharacteristic
1562C22×C4C23×D1711yescharacteristic
1563C22×C4C23×D1711yescharacteristic
1564C22×C4C23×D1711yescharacteristic
1565C22×C4C23×D1711yescharacteristic
1566C22×C4C23×D1711yescharacteristic
1567C4⋊C4—22no—
1568C4⋊C4—22no—
1569C4⋊C4—41no—
1570C4⋊C4—174no—
1571C4⋊C4—174no—
1572C4⋊C4—342no—
1573C4⋊C4—342no—
1574C4⋊C4—342no—
1575C4⋊C4—342no—
1576C4⋊C4—342no—
1577C4⋊C4—342no—
1578C4⋊C4—342no—
1579C4⋊C4—342no—
1580C4⋊C4—342no—
1581C4⋊C4—342no—
1582C4⋊C4—342no—
1583C4⋊C4—342no—
1584C4⋊C4—342no—
1585C4⋊C4—342no—
1586C4⋊C4—342no—
1587C4⋊C4—342no—
1588C4⋊C4—342no—
1589C4⋊C4—342no—
1590C4⋊C4—681no—
1591C22⋊C4—22no—
1592C22⋊C4—22no—
1593C22⋊C4—22no—
1594C22⋊C4—22no—
1595C22⋊C4—22no—
1596C22⋊C4—22no—
1597C22⋊C4—22no—
1598C22⋊C4—22no—
1599C22⋊C4—41no—
1600C22⋊C4—41no—
1601C22⋊C4—41no—
1602C22⋊C4—174no—
1603C22⋊C4—174no—
1604C22⋊C4—174no—
1605C22⋊C4—174no—
1606C22⋊C4—342no—
1607C22⋊C4—342no—
1608C22⋊C4—342no—
1609C22⋊C4—342no—
1610C22⋊C4—342no—
1611C22⋊C4—342no—
1612C22⋊C4—342no—
1613C22⋊C4—342no—
1614C22⋊C4—342no—
1615C22⋊C4—342no—
1616C22⋊C4—342no—
1617C22⋊C4—342no—
1618C22⋊C4—342no—
1619C22⋊C4—342no—
1620C22⋊C4—342no—
1621C22⋊C4—342no—
1622C22⋊C4—342no—
1623C22⋊C4—342no—
1624C22⋊C4—342no—
1625C22⋊C4—342no—
1626C22⋊C4—342no—
1627C22⋊C4—342no—
1628C22⋊C4—342no—
1629C22⋊C4—342no—
1630C22⋊C4—342no—
1631C22⋊C4—342no—
1632C22⋊C4—342no—
1633C22⋊C4—342no—
1634C22⋊C4—342no—
1635C22⋊C4—342no—
1636C22⋊C4—342no—
1637C22⋊C4—681no—
1638C22⋊C4—681no—
1639C22⋊C4—681no—
1640C22⋊C4—681no—
1641C22⋊C4—681no—
1642C22⋊C4#6325214yescomplemented
1643C42—22no—
1644C42—22no—
1645C42—22no—
1646C42—174no—
1647C42—174no—
1648C42—342no—
1649C42—342no—
1650C42—342no—
1651C42—342no—
1652C42—342no—
1653C42—342no—
1654C42—342no—
1655C42—342no—
1656C42—342no—
1657C42—681no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—28no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—44no—
1683C23—44no—
1684C23—44no—
1685C23—44no—
1686C23—44no—
1687C23—44no—
1688C23—172no—
1689C23—172no—
1690C23—172no—
1691C23—348no—
1692C23—341no—
1693C23—341no—
1694C23—341no—
1695C23—341no—
1696C23—341no—
1697C23—341no—
1698C23—341no—
1699C23—341no—
1700C23—341no—
1701C23—341no—
1702C23—341no—
1703C23—341no—
1704C23—341no—
1705C23—341no—
1706C23—341no—
1707C23—341no—
1708C23—341no—
1709C23—341no—
1710C23—341no—
1711C23—341no—
1712C23—341no—
1713C23—341no—
1714C23—341no—
1715C23—341no—
1716C23—341no—
1717C23—684no—
1718C23—684no—
1719C23—684no—
1720C23—684no—
1721C23—684no—
1722C23—684no—
1723C23C2×#6325212yes—
1724C23C2×D4×D1712yes—
1725C23C2×D4×D1712yes—
1726C23#41×D1712yes—
1727C23#41×D1712yes—
1728C23C24×D1711yescharacteristic
1729Q8—684no—
1730Q8—684no—
1731D4—44no—
1732D4—44no—
1733D4—44no—
1734D4—348no—
1735D4—348no—
1736D4—348no—
1737D4—348no—
1738D4—348no—
1739D4—684no—
1740D4—684no—
1741D4—684no—
1742D4—684no—
1743D4—684no—
1744D4—684no—
1745D4—684no—
1746D4—684no—
1747D4—684no—
1748D4—684no—
1749D4—684no—
1750D4—684no—
1751D4—684no—
1752D4—684no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—28no—
1762C2×C4—28no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—44no—
1784C2×C4—44no—
1785C2×C4—44no—
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—172no—
1795C2×C4—348no—
1796C2×C4—341no—
1797C2×C4—341no—
1798C2×C4—341no—
1799C2×C4—341no—
1800C2×C4—341no—
1801C2×C4—341no—
1802C2×C4—341no—
1803C2×C4—341no—
1804C2×C4—341no—
1805C2×C4—341no—
1806C2×C4—341no—
1807C2×C4—341no—
1808C2×C4—348no—
1809C2×C4—348no—
1810C2×C4—341no—
1811C2×C4—341no—
1812C2×C4—341no—
1813C2×C4—341no—
1814C2×C4—341no—
1815C2×C4—341no—
1816C2×C4—341no—
1817C2×C4—341no—
1818C2×C4—341no—
1819C2×C4—341no—
1820C2×C4—341no—
1821C2×C4—341no—
1822C2×C4—341no—
1823C2×C4—341no—
1824C2×C4—341no—
1825C2×C4—684no—
1826C2×C4—684no—
1827C2×C4—684no—
1828C2×C4—684no—
1829C2×C4—684no—
1830C2×C4—684no—
1831C2×C4—684no—
1832C2×C4—684no—
1833C2×C4C2×#6325212yes—
1834C2×C4C2×#6325212yes—
1835C2×C4C2×D4×D1712yes—
1836C2×C4C2×D4×D1712yes—
1837C2×C4C2×D4×D1712yes—
1838C2×C4C2×D4×D1712yes—
1839C2×C4#1058769112yes—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—22no—
1848C22—22no—
1849C22—22no—
1850C22—22no—
1851C22—22no—
1852C22—416no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—342no—
1869C22—342no—
1870C22—342no—
1871C22—342no—
1872C22—342no—
1873C22—342no—
1874C22—342no—
1875C22—342no—
1876C22—342no—
1877C22—6816no—
1878C22—681no—
1879C22—681no—
1880C22—681no—
1881C22—681no—
1882C22—681no—
1883C22—681no—
1884C22—681no—
1885C22—681no—
1886C22—681no—
1887C22—681no—
1888C22—681no—
1889C22—681no—
1890C22—681no—
1891C22—681no—
1892C22—681no—
1893C22—681no—
1894C22—681no—
1895C22—681no—
1896C22—681no—
1897C22#1176335614yescomplemented
1898C22C22×D4×D1711yescharacteristic
1899C22C22×D4×D1711yescharacteristic
1900C22C2×#41×D1711yescharacteristic
1901C22C2×#41×D1711yescharacteristic
1902C22C22×#6325211yescharacteristic
1903C22C2×#1058769111yescharacteristic
1904C22#1176364511yescharacteristic
1905C4—22no—
1906C4—22no—
1907C4—22no—
1908C4—22no—
1909C4—41no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—174no—
1916C4—342no—
1917C4—342no—
1918C4—342no—
1919C4—342no—
1920C4—342no—
1921C4—342no—
1922C4—681no—
1923C4—681no—
1924C4—681no—
1925C4—681no—
1926C4—681no—
1927C4#1176344114yes—
1928C2—24no—
1929C2—42no—
1930C2—42no—
1931C2—81no—
1932C2—682no—
1933C2—682no—
1934C2—682no—
1935C2—1361no—
1936C2D17×#52511yescharacteristic
1937C2C2×#1176335611yescharacteristic
1938C2#1454220211yescharacteristic
1939C2C2×#1176344111yescharacteristic
1940C2#1454226711yescharacteristic
1941C2D4×#6325211yescharacteristic
1942C2#1454238811yescharacteristic
subgroupG/H
centerC22×C4C23×D17
commutator, socle, cosocleC23×C17C25
FrattiniC23C24×D17
FittingC4×C17×#120C2
hypercenterC4×#120D17
hypocenterC17#34681
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
1. C2×#11763356C2semidirect
2. C2×#11763320C2semidirect
3. C2×#11763318C2semidirect
4. C22×C4×C22⋊D17C2semidirect
5. #14532915C2semidirect
6. #14532907C2semidirect
7. #14532797C2semidirect
8. #14532789C2semidirect
9. #14532756C2semidirect
10. #14532748C2semidirect
11. #14532631C2semidirect
12. #14532546C2semidirect
13. #14532485C2semidirect
14. #14532419C2semidirect
15. #14532371C2semidirect
16. #14532318C2semidirect
17. #14532316C2semidirect
18. #14532297C2semidirect
19. #14532223C2semidirect
20. #14532139C2semidirect
21. #14532028C2semidirect
22. #14532026C2semidirect
23. #14532000C2semidirect
24. #14531999C2semidirect
25. C4×#10587626C2semidirect
26. C4×#10587570C2semidirect
27. C4×#10587625C2semidirect
28. C4×#10587568C2semidirect
29. #14531247C2semidirect
30. C4×#10587567C2semidirect
31. C4×C17×#120C2semidirect
32. C22×#63252C22semidirect
33. C22×#63252C22semidirect
37. C2×#10587574C22semidirect
40. C2×#10587571C22semidirect
41. C2×#10587571C22semidirect
44. C2×#10587580C22semidirect
45. C2×#10587615C22semidirect
46. C2×#10587615C22semidirect
47. C2×#10587569C22semidirect
49. C2×#10587610C22semidirect
50. C2×#10587582C22semidirect
52. C2×#10587581C22semidirect
54. C2×#10587616C22semidirect
57. C2×#10587570C22semidirect
58. C2×#10587570C22semidirect
61. C2×#10587624C22semidirect
67. C2×C4×D68C22semidirect
68. C2×C4×D68C22semidirect
69. C2×C4×D68C22semidirect
81. C2×C4×C22⋊D17C22semidirect
82. C2×C4×C22⋊D17C22semidirect
83. C2×C4×C22⋊D17C22semidirect
84. C2×C4×C22⋊D17C22semidirect
87. C2×#10587612C22semidirect
88. C2×#10587558C22semidirect
93. C2×C42×D17C22semidirect
94. #11762743C22semidirect
95. #11762742C22semidirect
96. #11762738C22semidirect
97. #11762737C22semidirect
98. #11762733C22semidirect
99. #11762732C22semidirect
100. #11762732C22semidirect
101. #11762731C22semidirect
102. #11762730C22semidirect
103. #11762729C22semidirect
104. #11762727C22semidirect
105. #11762727C22semidirect
106. #11762726C22semidirect
107. #11762725C22semidirect
108. #11762725C22semidirect
109. #11762725C22semidirect
112. #11762724C22semidirect
113. #11762724C22semidirect
114. #11762724C22semidirect
115. #11762723C22semidirect
116. #11762722C22semidirect
117. #11762721C22semidirect
118. #11762719C22semidirect
125. #11762717C22semidirect
126. #11762712C22semidirect
127. #11762710C22semidirect
132. #11762709C22semidirect
133. #11762709C22semidirect
134. #11762709C22semidirect
135. #11762709C22semidirect
136. #11762706C22semidirect
137. #11762706C22semidirect
138. #11762706C22semidirect
139. #11762704C22semidirect
140. #11762703C22semidirect
141. #11762702C22semidirect
142. #11762701C22semidirect
143. #11762701C22semidirect
144. #11762699C22semidirect
145. #11762698C22semidirect
146. #11762697C22semidirect
147. #11762697C22semidirect
149. #11762687C22semidirect
150. #11762687C22semidirect
151. #11762687C22semidirect
154. #11762685C22semidirect
156. #11762683C22semidirect
157. #11762683C22semidirect
158. #11762678C22semidirect
159. #11762668C22semidirect
162. C4×#63225C22semidirect
163. C4×#63225C22semidirect
164. #11762660C22semidirect
165. #11762660C22semidirect
168. C4×#63227C22semidirect
169. C4×#63227C22semidirect
170. C4×#63227C22semidirect
171. C4×#63227C22semidirect
172. C4×C22⋊Dic17C22semidirect
173. #11762656C22semidirect
174. #11762656C22semidirect
175. C42×Dic17C22semidirect
179. C2×C4×D4×C17C22semidirect
180. C2×C4×D4×C17C22semidirect
182. C17×#386C22semidirect
183. C17×#386C22semidirect
185. C17×#385C22semidirect
186. C17×#385C22semidirect
189. C4×C22⋊C4×C17C22semidirect
190. C4×C22⋊C4×C17C22semidirect
311. C4×C22⋊D17D4semidirect
312. C4×C22⋊D17D4semidirect
525. C2×C22⋊D17#41semidirect
534. C22×Dic17#41semidirect
588. C2×C4×D17C2×D4semidirect
609. C22⋊C4×C17#41semidirect
652. #63227C2×D4semidirect
673. #63225C2×D4semidirect
685. C4×Dic17C2×D4semidirect
897. C4×#120D17semidirect
928. C22×C17#532semidirect
987. Dic17#525semidirect
1046. C2×C4×D4C2×D17semidirect
1047. C2×C4×D4C2×D17semidirect
1117. #386C2×D17semidirect
1118. #386C2×D17semidirect
1123. #385C2×D17semidirect
1124. #385C2×D17semidirect
1144. C4×C22⋊C4C2×D17semidirect
1145. C4×C22⋊C4C2×D17semidirect
1390. C17#34681semidirect
1642. C22⋊C4#63252semidirect
1897. C22#11763356semidirect

Maximal subgroups

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

subgroupindex
C2×#117633562
C2×#117633202
C2×#117633182
C22×C4×C22⋊D172
#145329152
#145329072
#145327972
#145327892
#145327562
#145327482
#145326312
#145325462
#145324852
#145324192
#145323712
#145323182
#145323162
#145322972
#145322232
#145321392
#145320282
#145320262
#145320002
#145319992
C4×#105876262
C4×#105875702
C4×#105876252
C4×#105875682
#145312472
C4×#105875672
C4×C17×#1202
#3468117