Finite Group Databasebeta

← #17241915

Subgroups — #17241915

Order 4352.

2146 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537070C211yesmaximal, characteristic, complemented
2#14537068C211yesmaximal, characteristic, complemented
3#14536728C211yesmaximal, characteristic, complemented
4#14536483C211yesmaximal, characteristic, complemented
5#14536479C211yesmaximal, characteristic, complemented
6#14536437C211yesmaximal, characteristic, complemented
7#14536436C211yesmaximal, characteristic, complemented
8#14536429C211yesmaximal, characteristic, complemented
9#14536428C211yesmaximal, characteristic, complemented
10#14535996C211yesmaximal, characteristic, complemented
11#14535992C211yesmaximal, characteristic, complemented
12#14535799C211yesmaximal, characteristic, complemented
13#14535798C211yesmaximal, characteristic, complemented
14#14535279C211yesmaximal, characteristic, complemented
15#14535277C211yesmaximal, characteristic, complemented
16#14535274C211yesmaximal, characteristic, complemented
17#14535158C211yesmaximal, characteristic, complemented
18#14534594C211yesmaximal, characteristic, complemented
19#14534588C211yesmaximal, characteristic, complemented
20#14532459C211yesmaximal, characteristic, complemented
21#14532457C211yesmaximal, characteristic, complemented
22#14532455C211yesmaximal, characteristic, complemented
23#14532453C211yesmaximal, characteristic, complemented
24#14532452C211yesmaximal, characteristic, complemented
25#14532451C211yesmaximal, characteristic, complemented
26#14532447C211yesmaximal, characteristic, complemented
27#14532444C211yesmaximal, characteristic, complemented
28#14531363C211yesmaximal, characteristic
29#14531358C211yesmaximal, characteristic
30D17×#386C211yesmaximal, characteristic
31C17×#2692C211yesmaximal, characteristic, complemented
32C22×D4×D17C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34C2×#10587582C2211yescharacteristic
35C2×#10587582C2211yescharacteristic
36C2×#10587582C2211yescharacteristic, complemented
37C2×#10587582C2211yescharacteristic, complemented
38C2×#10587564C2211yescharacteristic, complemented
39C2×#10587564C2211yescharacteristic, complemented
40C2×#10587632C2211yescharacteristic
41C2×#10587632C2211yescharacteristic
42C2×#10587632C2211yescharacteristic, complemented
43C2×#10587632C2211yescharacteristic, complemented
44C2×#10587578C2211yescharacteristic
45C2×#10587558C2211yescharacteristic
46C22×#63227C2211yescharacteristic
47C2×C22⋊C4×D17C2211yescharacteristic
48C2×C22⋊C4×D17C2211yescharacteristic
49C2×C22⋊C4×D17C2211yescharacteristic
50C2×C22⋊C4×D17C2211yescharacteristic
51#11762751C2211yescharacteristic, complemented
52#11762751C2211yescharacteristic, complemented
53#11762750C2211yescharacteristic, complemented
54#11762750C2211yescharacteristic, complemented
55#11762746C2211yescharacteristic, complemented
56#11762745C2211yescharacteristic, complemented
57#11762745C2211yescharacteristic, complemented
58#11762745C2211yescharacteristic, complemented
59#11762744C2211yescharacteristic, complemented
60#11762744C2211yescharacteristic, complemented
61#11762744C2211yescharacteristic, complemented
62#11762743C2211yescharacteristic, complemented
63#11762743C2211yescharacteristic, complemented
64#11762742C2211yescharacteristic, complemented
65#11762742C2211yescharacteristic, complemented
66#11762741C2211yescharacteristic, complemented
67#11762740C2211yescharacteristic, complemented
68#11762739C2211yescharacteristic, complemented
69#11762733C2211yescharacteristic, complemented
70#11762733C2211yescharacteristic, complemented
71#11762733C2211yescharacteristic, complemented
72#11762732C2211yescharacteristic, complemented
73#11762732C2211yescharacteristic, complemented
74#11762732C2211yescharacteristic, complemented
75#11762732C2211yescharacteristic, complemented
76#11762732C2211yescharacteristic, complemented
77#11762732C2211yescharacteristic, complemented
78#11762732C2211yescharacteristic, complemented
79#11762731C2211yescharacteristic, complemented
80#11762731C2211yescharacteristic, complemented
81#11762731C2211yescharacteristic, complemented
82#11762731C2211yescharacteristic, complemented
83#11762731C2211yescharacteristic, complemented
84#11762730C2211yescharacteristic, complemented
85#11762729C2211yescharacteristic, complemented
86#11762728C2211yescharacteristic, complemented
87#11762722C2211yescharacteristic, complemented
88#11762722C2211yescharacteristic, complemented
89#11762721C2211yescharacteristic, complemented
90#11762721C2211yescharacteristic, complemented
91#11762720C2211yescharacteristic, complemented
92#11762720C2211yescharacteristic, complemented
93#11762716C2211yescharacteristic, complemented
94#11762715C2211yescharacteristic, complemented
95#11762714C2211yescharacteristic, complemented
96#11762712C2211yescharacteristic
97#11762711C2211yescharacteristic
98#11762710C2211yescharacteristic
99#11762709C2211yescharacteristic
100#11762709C2211yescharacteristic
101#11762709C2211yescharacteristic
102#11762709C2211yescharacteristic
103#11762706C2211yescharacteristic, complemented
104#11762706C2211yescharacteristic, complemented
105#11762704C2211yescharacteristic, complemented
106#11762704C2211yescharacteristic, complemented
107#11762696C2211yescharacteristic, complemented
108#11762695C2211yescharacteristic, complemented
109#11762694C2211yescharacteristic, complemented
110#11762693C2211yescharacteristic, complemented
111#11762692C2211yescharacteristic, complemented
112#11762691C2211yescharacteristic, complemented
113#11762690C2211yescharacteristic, complemented
114#11762689C2211yescharacteristic
115#11762689C2211yescharacteristic
116#11762688C2211yescharacteristic
117#11762688C2211yescharacteristic
118#11762687C2211yescharacteristic
119#11762687C2211yescharacteristic
120#11762687C2211yescharacteristic
121#11762687C2211yescharacteristic
122#11762686C2211yescharacteristic
123#11762686C2211yescharacteristic
124#11762685C2211yescharacteristic
125#11762685C2211yescharacteristic
126#11762685C2211yescharacteristic
127#11762685C2211yescharacteristic
128#11762684C2211yescharacteristic, complemented
129#11762683C2211yescharacteristic
130#11762683C2211yescharacteristic
131#11762683C2211yescharacteristic
132#11762683C2211yescharacteristic
133#11762683C2211yescharacteristic, complemented
134#11762683C2211yescharacteristic, complemented
135#11762683C2211yescharacteristic, complemented
136#11762683C2211yescharacteristic, complemented
137#11762682C2211yescharacteristic, complemented
138#11762682C2211yescharacteristic, complemented
139#11762682C2211yescharacteristic, complemented
140#11762681C2211yescharacteristic, complemented
141#11762681C2211yescharacteristic, complemented
142#11762681C2211yescharacteristic, complemented
143#11762680C2211yescharacteristic
144#11762680C2211yescharacteristic
145#11762680C2211yescharacteristic
146#11762680C2211yescharacteristic
147#11762680C2211yescharacteristic, complemented
148#11762680C2211yescharacteristic, complemented
149#11762680C2211yescharacteristic, complemented
150#11762680C2211yescharacteristic, complemented
151#11762671C2211yescharacteristic
152#11762671C2211yescharacteristic
153#11762669C2211yescharacteristic, complemented
154#11762668C2211yescharacteristic
155#11762668C2211yescharacteristic
156#11762668C2211yescharacteristic, complemented
157#11762668C2211yescharacteristic, complemented
158#11762667C2211yescharacteristic, complemented
159#11762667C2211yescharacteristic, complemented
160#11762666C2211yescharacteristic
161#11762666C2211yescharacteristic
162#11762666C2211yescharacteristic, complemented
163#11762666C2211yescharacteristic, complemented
164#11762664C2211yescharacteristic
165#11762664C2211yescharacteristic
166#11762664C2211yescharacteristic
167#11762664C2211yescharacteristic
168#11762664C2211yescharacteristic
169#11762664C2211yescharacteristic
170#95×D17C2211yescharacteristic
171#95×D17C2211yescharacteristic
172C2×C17×C22⋊Q8C2211yescharacteristic, complemented
173C2×C17×C22⋊Q8C2211yescharacteristic, complemented
174C17×#399C2211yescharacteristic, complemented
175C17×#398C2211yescharacteristic, complemented
176C17×#396C2211yescharacteristic, complemented
177C17×#395C2211yescharacteristic, complemented
178C17×#393C2211yescharacteristic, complemented
179C17×#393C2211yescharacteristic, complemented
180C17×#391C2211yescharacteristic, complemented
181C17×#390C2211yescharacteristic
182C17×#387C2211yescharacteristic, complemented
183C17×#386C2211yescharacteristic
184C17×#386C2211yescharacteristic
185C17×#385C2211yescharacteristic, complemented
186C17×#380C2211yescharacteristic, complemented
187C24×D17C2311yescharacteristic
188C24×D17C2311yescharacteristic
189C22×Q8×C17C2311yescharacteristic
190C22×Q8×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C22×C22⋊D17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C23×Dic17C2311yescharacteristic
197C23×Dic17C2311yescharacteristic
198C2×D4×D17—42no—
199C2×D4×D17—42no—
200C2×D4×D17Q818yescomplemented
201C22×D68C2311yescharacteristic
202C22×C4×D17—42no—
203C22×C4×D17—42no—
204C22×C4×D17—42no—
205C22×C4×D17C2311yescharacteristic
206C22×C4×D17C2311yescharacteristic
207C22×C4×D17C2311yescharacteristic
208C22×C4×D17C2311yescharacteristic
209C22×C4×D17C2311yescharacteristic
210C22×C4×D17C2311yescharacteristic
211C22×C4×D17C2311yescharacteristic
212C22×C4×D17C2311yescharacteristic
213C22×C4×D17C2311yescharacteristic
214C22×Dic34C2311yescharacteristic
215C22×Dic34C2311yescharacteristic
216C17×C22⋊Q8—42no—
217C17×C22⋊Q8—42no—
218C2×C4⋊C4×C17C2311yescharacteristic
219C2×C4⋊C4×C17C2311yescharacteristic
220C2×C4⋊C4×C17C2311yescharacteristic
221C2×C4⋊C4×C17C2311yescharacteristic
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C22⋊C4×C17C2311yescharacteristic
228C2×C22⋊C4×C17C2311yescharacteristic
229C2×C22⋊C4×C17C2311yescharacteristic
230C2×C22⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C42×C17C2311yescharacteristic
238C2×C22⋊Dic17C2311yescharacteristic
239C2×C22⋊Dic17C2311yescharacteristic
240C2×C22⋊Dic17C2311yescharacteristic
241C2×C22⋊Dic17C2311yescharacteristic
242C2×C22⋊Dic17C2311yescharacteristic
243C2×C22⋊Dic17C2311yescharacteristic
244C2×C22⋊Dic17C2311yescharacteristic
245C2×C22⋊Dic17C2311yescharacteristic
246C2×C22⋊Dic17C2311yescharacteristic
247C2×C22⋊Dic17C2311yescharacteristic
248#10587632—42no—
249#10587632—42no—
250#10587632—42no—
251#10587632—42no—
252C2×#63227—42no—
253C2×#63227C2311yescharacteristic
254C2×#63227C2311yescharacteristic
255C2×#63227C2311yescharacteristic
256C2×#63227C2311yescharacteristic
257C2×#63227C2311yescharacteristic
258C2×#63227C2311yescharacteristic
259C2×#63227C2311yescharacteristic
260C2×#63227C2311yescharacteristic
261C2×#63227C2311yescharacteristic
262C2×#63227C2311yescharacteristic
263C2×#63227C2311yescharacteristic
264C2×#63227C2311yescharacteristic
265C2×#63227C2311yescharacteristic
266C2×#63227C2311yescharacteristic
267C2×#63227C2311yescharacteristic
268C2×#63227C2311yescharacteristic
269C2×#63227C2311yescharacteristic
270C2×#63227C2311yescharacteristic
271C2×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×C4⋊Dic17C2311yescharacteristic
282C2×C4⋊Dic17C2311yescharacteristic
283C2×C4⋊Dic17C2311yescharacteristic
284C2×C4⋊Dic17C2311yescharacteristic
285C2×C4⋊Dic17C2311yescharacteristic
286C2×C4⋊Dic17C2311yescharacteristic
287C2×C4⋊Dic17C2311yescharacteristic
288C2×C4⋊Dic17C2311yescharacteristic
289C2×C4⋊Dic17C2311yescharacteristic
290C2×#63225C2311yescharacteristic
291C2×#63225C2311yescharacteristic
292C2×#63225C2311yescharacteristic
293C2×#63225C2311yescharacteristic
294C2×#63225C2311yescharacteristic
295C2×#63225C2311yescharacteristic
296C2×#63225C2311yescharacteristic
297C2×#63225C2311yescharacteristic
298C2×#63225C2311yescharacteristic
299C2×#63225C2311yescharacteristic
300C2×#63225C2311yescharacteristic
301C2×#63225C2311yescharacteristic
302C2×#63225C2311yescharacteristic
303C2×#63225C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×#63225C2311yescharacteristic
312C2×C4×Dic17C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315#10587582—42no—
316#10587582—42no—
317#10587582—42no—
318#10587582—42no—
319#10587578—42no—
320C22⋊C4×D17—42no—
321C22⋊C4×D17—42no—
322C22⋊C4×D17—42no—
323C22⋊C4×D17—42no—
324#10587564—42no—
325#10587564—42no—
326#10587558—42no—
327C17×#95C2311yescharacteristic
328C17×#95C2311yescharacteristic
329C17×#95C2311yescharacteristic
330C17×#95C2311yescharacteristic
331C17×#95C2311yescharacteristic
332C17×#95C2311yescharacteristic
333C17×#95C2311yescharacteristic
334C17×#95C2311yescharacteristic
335C17×#95C2311yescharacteristic
336C17×#95C2311yescharacteristic
337#10587502C2311yescharacteristic
338#10587502C2311yescharacteristic
339#10587502C2311yescharacteristic
340#10587502C2311yescharacteristic
341#10587502C2311yescharacteristic
342#10587502C2311yescharacteristic
343#10587502C2311yescharacteristic
344#10587502C2311yescharacteristic
345#10587502C2311yescharacteristic
346#10587502C2311yescharacteristic
347#10587502C2311yescharacteristic
348#10587502C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367C24×C17C2411yescharacteristic
368C24×C17C2411yescharacteristic
369C23×D17—22no—
370C23×D17—22no—
371C23×D17—22no—
372C23×D17—22no—
373C23×D17—41no—
374C23×D17—41no—
375C23×D17—41no—
376C23×D17—41no—
377C23×D17—41no—
378C23×D17—41no—
379C23×D17—41no—
380C23×D17—41no—
381C23×D17C2×Q814yes—
382C23×D17C2×Q814yes—
383C23×D17C2411yescharacteristic
384C23×D17C2411yescharacteristic
385C23×D17C2411yescharacteristic
386C2×Q8×C17—22no—
387C2×Q8×C17—41no—
388C2×Q8×C17—41no—
389C2×Q8×C17—41no—
390C2×Q8×C17—41no—
391C2×Q8×C17—41no—
392C2×D4×C17—41no—
393C2×D4×C17—41no—
394C2×D4×C17C2×Q814yes—
395C22×C4×C17—22no—
396C22×C4×C17—41no—
397C22×C4×C17—41no—
398C22×C4×C17—41no—
399C22×C4×C17—41no—
400C22×C4×C17—41no—
401C22×C4×C17C2411yescharacteristic
402C22×C4×C17C2411yescharacteristic
403C22×C4×C17C2411yescharacteristic
404C22×C4×C17C2411yescharacteristic
405C22×C4×C17C2411yescharacteristic
406C22×C4×C17C2411yescharacteristic
407C22×C4×C17C2411yescharacteristic
408C22×C4×C17C2411yescharacteristic
409C22×C4×C17C2411yescharacteristic
410C22×C4×C17C2411yescharacteristic
411C22×C4×C17C2411yescharacteristic
412C22×C4×C17C2411yescharacteristic
413C22×C4×C17C2411yescharacteristic
414C2×C22⋊D17—41no—
415C2×C22⋊D17—41no—
416C2×C22⋊D17—41no—
417C2×C22⋊D17—41no—
418C2×C22⋊D17C2×Q814yes—
419C2×C22⋊D17C2×Q814yes—
420C22×Dic17—22no—
421C22×Dic17—41no—
422C22×Dic17—41no—
423C22×Dic17—41no—
424C22×Dic17—41no—
425C22×Dic17—41no—
426C22×Dic17C2411yescharacteristic
427C22×Dic17C2411yescharacteristic
428C22×Dic17C2411yescharacteristic
429C22×Dic17C2411yescharacteristic
430C22×Dic17C2411yescharacteristic
431C22×Dic17C2411yescharacteristic
432C22×Dic17C2411yescharacteristic
433C22×Dic17C2411yescharacteristic
434C22×Dic17C2411yescharacteristic
435C22×Dic17C2411yescharacteristic
436C22×Dic17C2411yescharacteristic
437C22×Dic17C2411yescharacteristic
438C22×Dic17C2411yescharacteristic
439D4×D17—416no—
440C2×D68—41no—
441C2×D68—41no—
442C2×D68C2×Q814yes—
443C2×C4×D17—22no—
444C2×C4×D17—22no—
445C2×C4×D17—22no—
446C2×C4×D17—22no—
447C2×C4×D17—22no—
448C2×C4×D17—22no—
449C2×C4×D17—22no—
450C2×C4×D17—22no—
451C2×C4×D17—22no—
452C2×C4×D17—22no—
453C2×C4×D17—41no—
454C2×C4×D17—41no—
455C2×C4×D17—41no—
456C2×C4×D17—41no—
457C2×C4×D17—41no—
458C2×C4×D17—41no—
459C2×C4×D17—416no—
460C2×C4×D17—41no—
461C2×C4×D17—41no—
462C2×C4×D17—41no—
463C2×C4×D17—41no—
464C2×C4×D17—41no—
465C2×C4×D17—41no—
466C2×C4×D17—41no—
467C2×C4×D17—41no—
468C2×C4×D17—41no—
469C2×C4×D17—41no—
470C2×C4×D17C2×Q814yes—
471C2×Dic34—22no—
472C2×Dic34—41no—
473C2×Dic34—41no—
474C2×Dic34—41no—
475C2×Dic34—41no—
476C2×Dic34—41no—
477C4⋊C4×C17—22no—
478C4⋊C4×C17—22no—
479C4⋊C4×C17—41no—
480C4⋊C4×C17—41no—
481C4⋊C4×C17—41no—
482C4⋊C4×C17—41no—
483C4⋊C4×C17—41no—
484C4⋊C4×C17—41no—
485C4⋊C4×C17—41no—
486C22⋊C4×C17—22no—
487C22⋊C4×C17—41no—
488C22⋊C4×C17—41no—
489C22⋊C4×C17—41no—
490C22⋊C4×C17—41no—
491C22⋊C4×C17—41no—
492C22⋊C4×C17—41no—
493C22⋊C4×C17—41no—
494C22⋊C4×C17—41no—
495C22⋊C4×C17—41no—
496C42×C17—41no—
497C22⋊Dic17—22no—
498C22⋊Dic17—41no—
499C22⋊Dic17—41no—
500C22⋊Dic17—41no—
501C22⋊Dic17—41no—
502C22⋊Dic17—41no—
503C22⋊Dic17—41no—
504C22⋊Dic17—41no—
505C22⋊Dic17—41no—
506C22⋊Dic17—41no—
507#63227—22no—
508#63227—22no—
509#63227—22no—
510#63227—22no—
511#63227—22no—
512#63227—22no—
513#63227—22no—
514#63227—22no—
515#63227—22no—
516#63227—22no—
517#63227—41no—
518#63227—41no—
519#63227—41no—
520#63227—41no—
521#63227—41no—
522#63227—41no—
523#63227—41no—
524#63227—41no—
525#63227—41no—
526#63227—41no—
527#63227—41no—
528#63227—41no—
529#63227—41no—
530#63227—41no—
531#63227—41no—
532#63227—41no—
533#63227—41no—
534#63227—41no—
535C4⋊Dic17—41no—
536C4⋊Dic17—41no—
537C4⋊Dic17—41no—
538C4⋊Dic17—41no—
539C4⋊Dic17—41no—
540C4⋊Dic17—41no—
541C4⋊Dic17—41no—
542C4⋊Dic17—41no—
543C4⋊Dic17—41no—
544#63225—22no—
545#63225—22no—
546#63225—22no—
547#63225—22no—
548#63225—41no—
549#63225—41no—
550#63225—41no—
551#63225—41no—
552#63225—41no—
553#63225—41no—
554#63225—41no—
555#63225—41no—
556#63225—41no—
557#63225—41no—
558#63225—41no—
559#63225—41no—
560#63225—41no—
561#63225—41no—
562#63225—41no—
563#63225—41no—
564#63225—41no—
565#63225—41no—
566C4×Dic17—41no—
567C4×Dic17—41no—
568C4×Dic17—41no—
569#36747—171nomaximal, Sylow
570C23×C17—21no—
571C23×C17—21no—
572C23×C17—21no—
573C23×C17—21no—
574C23×C17—21no—
575C23×C17—21no—
576C23×C17—21no—
577C23×C17—21no—
578C23×C17—21no—
579C23×C17—21no—
580C23×C17—21no—
581C23×C17—21no—
582C23×C17C22×Q812yes—
583C23×C17C22×Q812yes—
584C23×C17C2511yescharacteristic
585C22×D17—21no—
586C22×D17—21no—
587C22×D17—21no—
588C22×D17—21no—
589C22×D17—21no—
590C22×D17—21no—
591C22×D17—21no—
592C22×D17—21no—
593C22×D17—21no—
594C22×D17—21no—
595C22×D17—21no—
596C22×D17—21no—
597C22×D17—21no—
598C22×D17—21no—
599C22×D17—21no—
600C22×D17—21no—
601C22×D17—28no—
602C22×D17—28no—
603C22×D17—44no—
604C22×D17—44no—
605C22×D17—44no—
606C22×D17—44no—
607C22×D17—44no—
608C22×D17—44no—
609C22×D17—44no—
610C22×D17—44no—
611C22×D17—82no—
612C22×D17—82no—
613C22×D17—82no—
614C22×D17—82no—
615C22×D17C22×Q812yes—
616C22×D17C22×Q812yes—
617C22×D17C22×Q812yes—
618C22×D17H(5,𝔽2)12yes—
619C22×D17H(5,𝔽2)12yes—
620Q8×C17—82no—
621Q8×C17—82no—
622D4×C17—44no—
623C2×C4×C17—21no—
624C2×C4×C17—21no—
625C2×C4×C17—21no—
626C2×C4×C17—21no—
627C2×C4×C17—21no—
628C2×C4×C17—21no—
629C2×C4×C17—21no—
630C2×C4×C17—21no—
631C2×C4×C17—21no—
632C2×C4×C17—21no—
633C2×C4×C17—21no—
634C2×C4×C17—21no—
635C2×C4×C17—21no—
636C2×C4×C17—21no—
637C2×C4×C17—21no—
638C2×C4×C17—21no—
639C2×C4×C17—21no—
640C2×C4×C17—21no—
641C2×C4×C17—21no—
642C2×C4×C17—21no—
643C2×C4×C17—21no—
644C2×C4×C17—21no—
645C2×C4×C17—21no—
646C2×C4×C17—21no—
647C2×C4×C17—21no—
648C2×C4×C17—21no—
649C2×C4×C17—21no—
650C2×C4×C17—21no—
651C2×C4×C17—21no—
652C2×C4×C17—21no—
653C2×C4×C17—21no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—44no—
661C2×C4×C17—82no—
662C2×C4×C17C22×Q812yes—
663C2×C4×C17H(5,𝔽2)12yes—
664C22⋊D17—44no—
665C22⋊D17—44no—
666C2×Dic17—21no—
667C2×Dic17—21no—
668C2×Dic17—21no—
669C2×Dic17—21no—
670C2×Dic17—21no—
671C2×Dic17—21no—
672C2×Dic17—21no—
673C2×Dic17—21no—
674C2×Dic17—21no—
675C2×Dic17—21no—
676C2×Dic17—21no—
677C2×Dic17—21no—
678C2×Dic17—21no—
679C2×Dic17—21no—
680C2×Dic17—21no—
681C2×Dic17—21no—
682C2×Dic17—21no—
683C2×Dic17—21no—
684C2×Dic17—21no—
685C2×Dic17—21no—
686C2×Dic17—21no—
687C2×Dic17—21no—
688C2×Dic17—21no—
689C2×Dic17—21no—
690C2×Dic17—21no—
691C2×Dic17—21no—
692C2×Dic17—21no—
693C2×Dic17—21no—
694C2×Dic17—21no—
695C2×Dic17—21no—
696C2×Dic17—21no—
697C2×Dic17—21no—
698C2×Dic17—21no—
699C2×Dic17—21no—
700C2×Dic17—21no—
701C2×Dic17—21no—
702C2×Dic17—21no—
703C2×Dic17—44no—
704C2×Dic17—82no—
705C2×Dic17C22×Q812yes—
706C2×Dic17H(5,𝔽2)12yes—
707D68—44no—
708C4×D17—28no—
709C4×D17—44no—
710C4×D17—44no—
711C4×D17—44no—
712C4×D17—44no—
713C4×D17—82no—
714C4×D17—82no—
715C4×D17—82no—
716C4×D17—82no—
717Dic34—82no—
718Dic34—82no—
719#2848—171no—
720#2848—171no—
721#2804—171no—
722#2784—171no—
723#2784—171no—
724#2780—171no—
725#2780—171no—
726#2780—171no—
727#2780—171no—
728#2748—171no—
729#2748—171no—
730#2732—171no—
731#2732—171no—
732#2692—171no—
733#2692—171no—
734#2692—171no—
735#2692D1711yescharacteristic, complemented
736#2683—171no—
737#2626—171no—
738#2626—171no—
739#2438—171no—
740#2438—171no—
741#2438—171no—
742#2438—171no—
743#2437—171no—
744#2437—171no—
745#2437—171no—
746#2437—171no—
747#2309—171no—
748#2308—171no—
749C2×#386—171no—
750C22×C17—22no—
751C22×C17—22no—
752C22×C17—22no—
753C22×C17—22no—
754C22×C17—22no—
755C22×C17—22no—
756C22×C17—41no—
757C22×C17—41no—
758C22×C17—41no—
759C22×C17—41no—
760C22×C17—41no—
761C22×C17—41no—
762C22×C17—41no—
763C22×C17—41no—
764C22×C17C23×Q811yescharacteristic
765C22×C17C2×H(5,𝔽2)11yescharacteristic
766C22×C17C2×H(5,𝔽2)11yescharacteristic
767C22×C17C2×H(5,𝔽2)11yescharacteristic
768C22×C17C2×H(5,𝔽2)11yescharacteristic
769C22×C17#58511yescharacteristic
770C22×C17#58511yescharacteristic
771C2×D17—22no—
772C2×D17—22no—
773C2×D17—22no—
774C2×D17—22no—
775C2×D17—22no—
776C2×D17—22no—
777C2×D17—22no—
778C2×D17—22no—
779C2×D17—22no—
780C2×D17—22no—
781C2×D17—22no—
782C2×D17—22no—
783C2×D17—416no—
784C2×D17—41no—
785C2×D17—41no—
786C2×D17—41no—
787C2×D17—41no—
788C2×D17—41no—
789C2×D17—41no—
790C2×D17—41no—
791C2×D17—41no—
792C2×D17—88no—
793C2×D17#54314yes—
794C4×C17—22no—
795C4×C17—22no—
796C4×C17—41no—
797C4×C17—41no—
798C4×C17—41no—
799C4×C17—41no—
800C4×C17—41no—
801C4×C17—41no—
802C4×C17—41no—
803C4×C17—41no—
804C4×C17—41no—
805C4×C17—41no—
806C4×C17—41no—
807Dic17—22no—
808Dic17—22no—
809Dic17—41no—
810Dic17—41no—
811Dic17—41no—
812Dic17—41no—
813Dic17—41no—
814Dic17—41no—
815Dic17—41no—
816Dic17—41no—
817Dic17—41no—
818Dic17—41no—
819Dic17—41no—
820C23×D4—171no—
821C24×C4—171no—
822C2×C22⋊Q8—171no—
823C2×C22⋊Q8—171no—
824C2×C22⋊Q8—171no—
825C2×C22⋊Q8—171no—
826C2×C22⋊Q8—171no—
827C2×C22⋊Q8—171no—
828C2×C22⋊Q8—171no—
829C2×C22⋊Q8—171no—
830C2×C22⋊Q8—171no—
831C2×C22⋊Q8—171no—
832C2×C22⋊Q8C2×D1711yescharacteristic, complemented
833C2×C22⋊Q8C2×D1711yescharacteristic, complemented
834C2×#117—171no—
835C2×#117—171no—
836C22×C22⋊C4—171no—
837C22×C22⋊C4—171no—
838C22×C22⋊C4—171no—
839C22×C22⋊C4—171no—
840C22×C22⋊C4—171no—
841#400—171no—
842#400—171no—
843#400—171no—
844#400—171no—
845#399—171no—
846#399—171no—
847#399—171no—
848#399—171no—
849#399—171no—
850#399—171no—
851#399—171no—
852#399C2×D1711yescharacteristic, complemented
853#398—171no—
854#398—171no—
855#398—171no—
856#398—171no—
857#398—171no—
858#398—171no—
859#398—171no—
860#398C2×D1711yescharacteristic, complemented
861#396—171no—
862#396—171no—
863#396—171no—
864#396—171no—
865#396—171no—
866#396—171no—
867#396—171no—
868#396—171no—
869#396—171no—
870#396—171no—
871#396—171no—
872#396—171no—
873#396—171no—
874#396—171no—
875#396—171no—
876#396C2×D1711yescharacteristic, complemented
877#395—171no—
878#395—171no—
879#395—171no—
880#395C2×D1711yescharacteristic, complemented
881#393—171no—
882#393—171no—
883#393—171no—
884#393—171no—
885#393—171no—
886#393—171no—
887#393C2×D1711yescharacteristic, complemented
888#393C2×D1711yescharacteristic, complemented
889#391—171no—
890#391—171no—
891#391—171no—
892#391C2×D1711yescharacteristic, complemented
893#390—171no—
894#390—171no—
895#390—171no—
896#390—171no—
897#390—171no—
898#390—171no—
899#390—171no—
900#390C2×D1711yescharacteristic
901#389—171no—
902#389—171no—
903#389—171no—
904#389—171no—
905#387—171no—
906#387—171no—
907#387—171no—
908#387—171no—
909#387—171no—
910#387—171no—
911#387—171no—
912#387C2×D1711yescharacteristic, complemented
913#386—171no—
914#386—171no—
915#386—171no—
916#386—171no—
917#386—171no—
918#386—171no—
919#386—171no—
920#386—171no—
921#386—171no—
922#386—171no—
923#386—171no—
924#386—171no—
925#386—171no—
926#386—171no—
927#386C2×D1711yescharacteristic
928#386C2×D1711yescharacteristic
929#385—171no—
930#385—171no—
931#385—171no—
932#385—171no—
933#385—171no—
934#385—171no—
935#385—171no—
936#385—171no—
937#385—171no—
938#385—171no—
939#385—171no—
940#385—171no—
941#385—171no—
942#385—171no—
943#385—171no—
944#385—171no—
945#385—171no—
946#385—171no—
947#385—171no—
948#385—171no—
949#385—171no—
950#385—171no—
951#385—171no—
952#385C2×D1711yescharacteristic, complemented
953#381—171no—
954#381—171no—
955#380—171no—
956#380—171no—
957#380—171no—
958#380—171no—
959#380—171no—
960#380—171no—
961#380—171no—
962#380—171no—
963#380—171no—
964#380—171no—
965#380—171no—
966#380C2×D1711yescharacteristic, complemented
967#379—171no—
968#379—171no—
969#379—171no—
970#379—171no—
971#379—171no—
972#379—171no—
973C2×#95—171no—
974C2×#95—171no—
975C2×C17—42no—
976C2×C17—42no—
977C2×C17C2×#54311yescharacteristic
978C2×C17#350111yescharacteristic
979C2×C17#350111yescharacteristic
980C2×C17#353211yescharacteristic
981C2×C17#353311yescharacteristic
982C2×C17#354211yescharacteristic
983C2×C17#354211yescharacteristic
984D17—24no—
985D17—42no—
986D17—42no—
987C25—171no—
988C25—171no—
989C22×Q8—171no—
990C22×Q8—171no—
991C22×Q8C22×D1711yescharacteristic
992C22×Q8C22×D1711yescharacteristic
993C22×D4—171no—
994C22×D4—171no—
995C22×D4—178no—
996C22×D4—171no—
997C22×D4—682no—
998C22×D4—682no—
999C22×D4C22×D1711yescharacteristic
1000C23×C4—171no—
1001C23×C4—171no—
1002C23×C4—171no—
1003C23×C4—171no—
1004C23×C4—171no—
1005C23×C4—171no—
1006C23×C4—171no—
1007C23×C4—171no—
1008C23×C4—171no—
1009C23×C4—171no—
1010C23×C4—171no—
1011C23×C4—682no—
1012C23×C4—682no—
1013C23×C4—682no—
1014C23×C4C22×D1711yescharacteristic
1015C23×C4C22×D1711yescharacteristic
1016C22⋊Q8—42no—
1017C22⋊Q8—42no—
1018C22⋊Q8—682no—
1019C22⋊Q8—682no—
1020C22⋊Q8—682no—
1021C22⋊Q8—682no—
1022C22⋊Q8—682no—
1023C22⋊Q8—682no—
1024C22⋊Q8—682no—
1025C22⋊Q8—682no—
1026C22⋊Q8—682no—
1027C22⋊Q8—682no—
1028#117—682no—
1029#117—682no—
1030C2×C4⋊C4—171no—
1031C2×C4⋊C4—171no—
1032C2×C4⋊C4—171no—
1033C2×C4⋊C4—171no—
1034C2×C4⋊C4—171no—
1035C2×C4⋊C4—171no—
1036C2×C4⋊C4—171no—
1037C2×C4⋊C4—171no—
1038C2×C4⋊C4—171no—
1039C2×C4⋊C4—171no—
1040C2×C4⋊C4—171no—
1041C2×C4⋊C4—171no—
1042C2×C4⋊C4—171no—
1043C2×C4⋊C4—171no—
1044C2×C4⋊C4—171no—
1045C2×C4⋊C4—171no—
1046C2×C4⋊C4—171no—
1047C2×C4⋊C4—171no—
1048C2×C4⋊C4—171no—
1049C2×C4⋊C4—171no—
1050C2×C4⋊C4—171no—
1051C2×C4⋊C4—171no—
1052C2×C4⋊C4—171no—
1053C2×C4⋊C4—171no—
1054C2×C4⋊C4—171no—
1055C2×C4⋊C4—171no—
1056C2×C4⋊C4—171no—
1057C2×C4⋊C4—171no—
1058C2×C4⋊C4—171no—
1059C2×C4⋊C4—171no—
1060C2×C4⋊C4—171no—
1061C2×C4⋊C4C22×D1711yescharacteristic
1062C2×C4⋊C4C22×D1711yescharacteristic
1063C2×C4⋊C4C22×D1711yescharacteristic
1064C2×C4⋊C4C22×D1711yescharacteristic
1065C2×C4⋊C4C22×D1711yescharacteristic
1066C2×C4⋊C4C22×D1711yescharacteristic
1067C2×C4⋊C4C22×D1711yescharacteristic
1068C2×C4⋊C4C22×D1711yescharacteristic
1069C2×C4⋊C4C22×D1711yescharacteristic
1070C2×C22⋊C4—171no—
1071C2×C22⋊C4—171no—
1072C2×C22⋊C4—171no—
1073C2×C22⋊C4—171no—
1074C2×C22⋊C4—171no—
1075C2×C22⋊C4—171no—
1076C2×C22⋊C4—171no—
1077C2×C22⋊C4—171no—
1078C2×C22⋊C4—171no—
1079C2×C22⋊C4—171no—
1080C2×C22⋊C4—171no—
1081C2×C22⋊C4—171no—
1082C2×C22⋊C4—171no—
1083C2×C22⋊C4—171no—
1084C2×C22⋊C4—171no—
1085C2×C22⋊C4—171no—
1086C2×C22⋊C4—171no—
1087C2×C22⋊C4—171no—
1088C2×C22⋊C4—171no—
1089C2×C22⋊C4—171no—
1090C2×C22⋊C4—171no—
1091C2×C22⋊C4—171no—
1092C2×C22⋊C4—171no—
1093C2×C22⋊C4—171no—
1094C2×C22⋊C4—171no—
1095C2×C22⋊C4—171no—
1096C2×C22⋊C4—171no—
1097C2×C22⋊C4—171no—
1098C2×C22⋊C4—171no—
1099C2×C22⋊C4—171no—
1100C2×C22⋊C4—171no—
1101C2×C22⋊C4—171no—
1102C2×C22⋊C4—171no—
1103C2×C22⋊C4—171no—
1104C2×C22⋊C4—171no—
1105C2×C22⋊C4—171no—
1106C2×C22⋊C4—171no—
1107C2×C22⋊C4—171no—
1108C2×C22⋊C4—682no—
1109C2×C22⋊C4—682no—
1110C2×C22⋊C4—682no—
1111C2×C22⋊C4—682no—
1112C2×C22⋊C4—682no—
1113C2×C22⋊C4C22×D1711yescharacteristic
1114C2×C22⋊C4C22×D1711yescharacteristic
1115C2×C22⋊C4C22×D1711yescharacteristic
1116C2×C22⋊C4C22×D1711yescharacteristic
1117C2×C22⋊C4C22×D1711yescharacteristic
1118C2×C22⋊C4C22×D1711yescharacteristic
1119C2×C22⋊C4C22×D1711yescharacteristic
1120C2×C22⋊C4C22×D1711yescharacteristic
1121C2×C22⋊C4C22×D1711yescharacteristic
1122C2×C22⋊C4C22×D1711yescharacteristic
1123C2×C42—171no—
1124C2×C42—171no—
1125C2×C42—171no—
1126C2×C42C22×D1711yescharacteristic
1127#95—171no—
1128#95—171no—
1129#95—171no—
1130#95—171no—
1131#95—171no—
1132#95—171no—
1133#95—171no—
1134#95—171no—
1135#95—171no—
1136#95—171no—
1137#95—171no—
1138#95—171no—
1139#95—171no—
1140#95—171no—
1141#95—171no—
1142#95—171no—
1143#95—171no—
1144#95—171no—
1145#95—171no—
1146#95—171no—
1147#95—171no—
1148#95—171no—
1149#95—171no—
1150#95—171no—
1151#95—171no—
1152#95—171no—
1153#95—171no—
1154#95—171no—
1155#95—171no—
1156#95—171no—
1157#95C22×D1711yescharacteristic
1158#95C22×D1711yescharacteristic
1159#95C22×D1711yescharacteristic
1160#95C22×D1711yescharacteristic
1161#95C22×D1711yescharacteristic
1162#95C22×D1711yescharacteristic
1163#95C22×D1711yescharacteristic
1164#95C22×D1711yescharacteristic
1165#95C22×D1711yescharacteristic
1166#95C22×D1711yescharacteristic
1167C17#3674711yescharacteristic, complemented, Sylow
1168C24—171no—
1169C24—171no—
1170C24—171no—
1171C24—174no—
1172C24—174no—
1173C24—342no—
1174C24—342no—
1175C24—342no—
1176C24—342no—
1177C24—681no—
1178C24—681no—
1179C24—681no—
1180C24—681no—
1181C24—681no—
1182C24—681no—
1183C24—681no—
1184C24—681no—
1185C24C23×D1711yescharacteristic
1186C24C23×D1711yescharacteristic
1187C2×Q8—22no—
1188C2×Q8—41no—
1189C2×Q8—41no—
1190C2×Q8—41no—
1191C2×Q8—41no—
1192C2×Q8—41no—
1193C2×Q8—342no—
1194C2×Q8—681no—
1195C2×Q8—681no—
1196C2×Q8—681no—
1197C2×Q8—681no—
1198C2×Q8—681no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—174no—
1202C2×D4—174no—
1203C2×D4—174no—
1204C2×D4—681no—
1205C2×D4—681no—
1206C2×D4—6816no—
1207C2×D4—681no—
1208C2×D4—681no—
1209C2×D4—681no—
1210C2×D4—681no—
1211C2×D4Q8×D1714yes—
1212C22×C4—22no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—171no—
1219C22×C4—171no—
1220C22×C4—174no—
1221C22×C4—171no—
1222C22×C4—171no—
1223C22×C4—171no—
1224C22×C4—171no—
1225C22×C4—171no—
1226C22×C4—171no—
1227C22×C4—171no—
1228C22×C4—171no—
1229C22×C4—171no—
1230C22×C4—171no—
1231C22×C4—171no—
1232C22×C4—342no—
1233C22×C4—342no—
1234C22×C4—342no—
1235C22×C4—342no—
1236C22×C4—342no—
1237C22×C4—342no—
1238C22×C4—342no—
1239C22×C4—342no—
1240C22×C4—342no—
1241C22×C4—342no—
1242C22×C4—342no—
1243C22×C4—681no—
1244C22×C4—681no—
1245C22×C4—681no—
1246C22×C4—681no—
1247C22×C4—681no—
1248C22×C4—681no—
1249C22×C4—681no—
1250C22×C4—681no—
1251C22×C4—681no—
1252C22×C4—681no—
1253C22×C4—681no—
1254C22×C4—681no—
1255C22×C4—681no—
1256C22×C4—681no—
1257C22×C4—681no—
1258C22×C4—681no—
1259C22×C4—6816no—
1260C22×C4—681no—
1261C22×C4—681no—
1262C22×C4—681no—
1263C22×C4—681no—
1264C22×C4—681no—
1265C22×C4C23×D1711yescharacteristic
1266C22×C4C23×D1711yescharacteristic
1267C22×C4C23×D1711yescharacteristic
1268C22×C4C23×D1711yescharacteristic
1269C22×C4C23×D1711yescharacteristic
1270C22×C4C23×D1711yescharacteristic
1271C22×C4C23×D1711yescharacteristic
1272C22×C4C23×D1711yescharacteristic
1273C22×C4C23×D1711yescharacteristic
1274C22×C4C23×D1711yescharacteristic
1275C22×C4C23×D1711yescharacteristic
1276C22×C4C23×D1711yescharacteristic
1277C22×C4C23×D1711yescharacteristic
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—342no—
1288C4⋊C4—342no—
1289C4⋊C4—342no—
1290C4⋊C4—342no—
1291C4⋊C4—681no—
1292C4⋊C4—681no—
1293C4⋊C4—681no—
1294C4⋊C4—681no—
1295C4⋊C4—681no—
1296C4⋊C4—681no—
1297C4⋊C4—681no—
1298C4⋊C4—681no—
1299C4⋊C4—681no—
1300C4⋊C4—681no—
1301C4⋊C4—681no—
1302C4⋊C4—681no—
1303C4⋊C4—681no—
1304C4⋊C4—681no—
1305C4⋊C4—681no—
1306C4⋊C4—681no—
1307C4⋊C4—681no—
1308C4⋊C4—681no—
1309C4⋊C4—681no—
1310C4⋊C4—681no—
1311C4⋊C4—681no—
1312C4⋊C4—681no—
1313C4⋊C4—681no—
1314C4⋊C4—681no—
1315C4⋊C4—681no—
1316C4⋊C4—681no—
1317C4⋊C4—681no—
1318C22⋊C4—22no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—342no—
1329C22⋊C4—342no—
1330C22⋊C4—342no—
1331C22⋊C4—342no—
1332C22⋊C4—342no—
1333C22⋊C4—342no—
1334C22⋊C4—342no—
1335C22⋊C4—342no—
1336C22⋊C4—342no—
1337C22⋊C4—342no—
1338C22⋊C4—342no—
1339C22⋊C4—681no—
1340C22⋊C4—681no—
1341C22⋊C4—681no—
1342C22⋊C4—681no—
1343C22⋊C4—681no—
1344C22⋊C4—681no—
1345C22⋊C4—681no—
1346C22⋊C4—681no—
1347C22⋊C4—681no—
1348C22⋊C4—681no—
1349C22⋊C4—681no—
1350C22⋊C4—681no—
1351C22⋊C4—681no—
1352C22⋊C4—681no—
1353C22⋊C4—681no—
1354C22⋊C4—681no—
1355C22⋊C4—681no—
1356C22⋊C4—681no—
1357C22⋊C4—681no—
1358C22⋊C4—681no—
1359C22⋊C4—681no—
1360C22⋊C4—681no—
1361C22⋊C4—681no—
1362C22⋊C4—681no—
1363C22⋊C4—681no—
1364C22⋊C4—681no—
1365C22⋊C4—681no—
1366C42—41no—
1367C42—681no—
1368C42—681no—
1369C42—681no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—172no—
1383C23—172no—
1384C23—172no—
1385C23—172no—
1386C23—172no—
1387C23—348no—
1388C23—348no—
1389C23—341no—
1390C23—341no—
1391C23—341no—
1392C23—341no—
1393C23—341no—
1394C23—341no—
1395C23—341no—
1396C23—341no—
1397C23—341no—
1398C23—341no—
1399C23—341no—
1400C23—341no—
1401C23—341no—
1402C23—341no—
1403C23—341no—
1404C23—341no—
1405C23—684no—
1406C23—684no—
1407C23—684no—
1408C23—684no—
1409C23—684no—
1410C23—684no—
1411C23—684no—
1412C23—684no—
1413C23—1362no—
1414C23—1362no—
1415C23—1362no—
1416C23—1362no—
1417C23C2×Q8×D1712yes—
1418C23C2×Q8×D1712yes—
1419C23C24×D1711yescharacteristic
1420Q8—82no—
1421Q8—82no—
1422Q8—1362no—
1423Q8—1362no—
1424D4—44no—
1425D4—684no—
1426D4—684no—
1427D4—684no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—44no—
1466C2×C4—82no—
1467C2×C4—172no—
1468C2×C4—172no—
1469C2×C4—348no—
1470C2×C4—341no—
1471C2×C4—341no—
1472C2×C4—341no—
1473C2×C4—341no—
1474C2×C4—341no—
1475C2×C4—341no—
1476C2×C4—341no—
1477C2×C4—341no—
1478C2×C4—341no—
1479C2×C4—341no—
1480C2×C4—341no—
1481C2×C4—341no—
1482C2×C4—341no—
1483C2×C4—341no—
1484C2×C4—341no—
1485C2×C4—341no—
1486C2×C4—341no—
1487C2×C4—341no—
1488C2×C4—341no—
1489C2×C4—341no—
1490C2×C4—341no—
1491C2×C4—341no—
1492C2×C4—341no—
1493C2×C4—341no—
1494C2×C4—341no—
1495C2×C4—341no—
1496C2×C4—341no—
1497C2×C4—341no—
1498C2×C4—341no—
1499C2×C4—341no—
1500C2×C4—341no—
1501C2×C4—341no—
1502C2×C4—341no—
1503C2×C4—341no—
1504C2×C4—341no—
1505C2×C4—341no—
1506C2×C4—341no—
1507C2×C4—684no—
1508C2×C4—684no—
1509C2×C4—684no—
1510C2×C4—684no—
1511C2×C4—684no—
1512C2×C4—1362no—
1513C2×C4—1362no—
1514C2×C4—1362no—
1515C2×C4—1362no—
1516C2×C4—1362no—
1517C2×C4#1058769112yes—
1518C2×C4C2×Q8×D1712yes—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—174no—
1534C22—342no—
1535C22—342no—
1536C22—342no—
1537C22—342no—
1538C22—342no—
1539C22—342no—
1540C22—342no—
1541C22—342no—
1542C22—342no—
1543C22—342no—
1544C22—342no—
1545C22—342no—
1546C22—6816no—
1547C22—681no—
1548C22—681no—
1549C22—681no—
1550C22—681no—
1551C22—681no—
1552C22—681no—
1553C22—681no—
1554C22—681no—
1555C22—1368no—
1556C22C22×Q8×D1711yescharacteristic
1557C22H(5,𝔽2)×D1711yescharacteristic
1558C22H(5,𝔽2)×D1711yescharacteristic
1559C22H(5,𝔽2)×D1711yescharacteristic
1560C22C2×#1058769111yescharacteristic
1561C22#1176364511yescharacteristic
1562C22#1176364611yescharacteristic
1563C4—22no—
1564C4—22no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—342no—
1577C4—342no—
1578C4—681no—
1579C4—681no—
1580C4—681no—
1581C4—681no—
1582C4—681no—
1583C4—681no—
1584C4—681no—
1585C4—681no—
1586C4—681no—
1587C4—681no—
1588C4—681no—
1589C2—42no—
1590C2—42no—
1591C2—344no—
1592C2—682no—
1593C2—682no—
1594C2D17×#54311yescharacteristic
1595C2#1454257911yescharacteristic
1596C2#1454258311yescharacteristic
1597C2#1454293811yescharacteristic
1598C2#1454294711yescharacteristic
1599C2#1454309711yescharacteristic
1600C2#1454309811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2692C2
prime radicalC22×D4×D17C22
hypercenter#2692D17
hypocenterC17#36747
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2692

Complements

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

NH ≅ G/Ntype
1. #14537070C2semidirect
2. #14537068C2semidirect
3. #14536728C2semidirect
4. #14536483C2semidirect
5. #14536479C2semidirect
6. #14536437C2semidirect
7. #14536436C2semidirect
8. #14536429C2semidirect
9. #14536428C2semidirect
10. #14535996C2semidirect
11. #14535992C2semidirect
12. #14535799C2semidirect
13. #14535798C2semidirect
14. #14535279C2semidirect
15. #14535277C2semidirect
16. #14535274C2semidirect
17. #14535158C2semidirect
18. #14534594C2semidirect
19. #14534588C2semidirect
20. #14532459C2semidirect
21. #14532457C2semidirect
22. #14532455C2semidirect
23. #14532453C2semidirect
24. #14532452C2semidirect
25. #14532451C2semidirect
26. #14532447C2semidirect
27. #14532444C2semidirect
31. C17×#2692C2semidirect
36. C2×#10587582C22semidirect
37. C2×#10587582C22semidirect
38. C2×#10587564C22semidirect
39. C2×#10587564C22semidirect
42. C2×#10587632C22semidirect
43. C2×#10587632C22semidirect
51. #11762751C22semidirect
52. #11762751C22semidirect
53. #11762750C22semidirect
54. #11762750C22semidirect
55. #11762746C22semidirect
56. #11762745C22semidirect
57. #11762745C22semidirect
58. #11762745C22semidirect
59. #11762744C22semidirect
60. #11762744C22semidirect
61. #11762744C22semidirect
62. #11762743C22semidirect
63. #11762743C22semidirect
64. #11762742C22semidirect
65. #11762742C22semidirect
66. #11762741C22semidirect
67. #11762740C22semidirect
68. #11762739C22semidirect
69. #11762733C22semidirect
70. #11762733C22semidirect
71. #11762733C22semidirect
72. #11762732C22semidirect
73. #11762732C22semidirect
74. #11762732C22semidirect
75. #11762732C22semidirect
76. #11762732C22semidirect
77. #11762732C22semidirect
78. #11762732C22semidirect
79. #11762731C22semidirect
80. #11762731C22semidirect
81. #11762731C22semidirect
82. #11762731C22semidirect
83. #11762731C22semidirect
84. #11762730C22semidirect
85. #11762729C22semidirect
86. #11762728C22semidirect
87. #11762722C22semidirect
88. #11762722C22semidirect
89. #11762721C22semidirect
90. #11762721C22semidirect
91. #11762720C22semidirect
92. #11762720C22semidirect
93. #11762716C22semidirect
94. #11762715C22semidirect
95. #11762714C22semidirect
103. #11762706C22semidirect
104. #11762706C22semidirect
105. #11762704C22semidirect
106. #11762704C22semidirect
107. #11762696C22semidirect
108. #11762695C22semidirect
109. #11762694C22semidirect
110. #11762693C22semidirect
111. #11762692C22semidirect
112. #11762691C22semidirect
113. #11762690C22semidirect
128. #11762684C22semidirect
133. #11762683C22semidirect
134. #11762683C22semidirect
135. #11762683C22semidirect
136. #11762683C22semidirect
137. #11762682C22semidirect
138. #11762682C22semidirect
139. #11762682C22semidirect
140. #11762681C22semidirect
141. #11762681C22semidirect
142. #11762681C22semidirect
147. #11762680C22semidirect
148. #11762680C22semidirect
149. #11762680C22semidirect
150. #11762680C22semidirect
153. #11762669C22semidirect
156. #11762668C22semidirect
157. #11762668C22semidirect
158. #11762667C22semidirect
159. #11762667C22semidirect
162. #11762666C22semidirect
163. #11762666C22semidirect
172. C2×C17×C22⋊Q8C22semidirect
173. C2×C17×C22⋊Q8C22semidirect
174. C17×#399C22semidirect
175. C17×#398C22semidirect
176. C17×#396C22semidirect
177. C17×#395C22semidirect
178. C17×#393C22semidirect
179. C17×#393C22semidirect
180. C17×#391C22semidirect
182. C17×#387C22semidirect
185. C17×#385C22semidirect
186. C17×#380C22semidirect
200. C2×D4×D17Q8semidirect
735. #2692D17semidirect
832. C2×C22⋊Q8C2×D17semidirect
833. C2×C22⋊Q8C2×D17semidirect
852. #399C2×D17semidirect
860. #398C2×D17semidirect
876. #396C2×D17semidirect
880. #395C2×D17semidirect
887. #393C2×D17semidirect
888. #393C2×D17semidirect
892. #391C2×D17semidirect
912. #387C2×D17semidirect
952. #385C2×D17semidirect
966. #380C2×D17semidirect
1167. C17#36747semidirect

Maximal subgroups

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

subgroupindex
#145370702
#145370682
#145367282
#145364832
#145364792
#145364372
#145364362
#145364292
#145364282
#145359962
#145359922
#145357992
#145357982
#145352792
#145352772
#145352742
#145351582
#145345942
#145345882
#145324592
#145324572
#145324552
#145324532
#145324522
#145324512
#145324472
#145324442
#145313632
#145313582
D17×#3862
C17×#26922
#3674717