Finite Group Databasebeta

← #17900571

Subgroups — #17900571

Order 4352.

1664 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542215C211yesmaximal, characteristic
2#14537953C211yesmaximal, characteristic, complemented
3#14537953C211yesmaximal, characteristic, complemented
4#14537952C211yesmaximal, characteristic, complemented
5#14537951C211yesmaximal, characteristic, complemented
6#14537942C211yesmaximal, characteristic, complemented
7#14537936C211yesmaximal, characteristic, complemented
8#14537931C211yesmaximal, characteristic, complemented
9#14537931C211yesmaximal, characteristic, complemented
10#14537914C211yesmaximal, characteristic, complemented
11#14537900C211yesmaximal, characteristic, complemented
12#14537882C211yesmaximal, characteristic, complemented
13#14537879C211yesmaximal, characteristic, complemented
14#14537877C211yesmaximal, characteristic, complemented
15#14537877C211yesmaximal, characteristic, complemented
16#14537870C211yesmaximal, characteristic, complemented
17#14537795C211yesmaximal, characteristic, complemented
18#14537790C211yesmaximal, characteristic, complemented
19#14537784C211yesmaximal, characteristic, complemented
20#14537784C211yesmaximal, characteristic, complemented
21#14537778C211yesmaximal, characteristic, complemented
22#14537777C211yesmaximal, characteristic, complemented
23#14537768C211yesmaximal, characteristic, complemented
24#14537765C211yesmaximal, characteristic, complemented
25#14537755C211yesmaximal, characteristic, complemented
26#14537749C211yesmaximal, characteristic, complemented
27#14537736C211yesmaximal, characteristic, complemented
28#14537729C211yesmaximal, characteristic, complemented
29#14537720C211yesmaximal, characteristic, complemented
30#14537715C211yesmaximal, characteristic, complemented
31C17×#2961C211yesmaximal, characteristic, complemented
32#11763436C411yescharacteristic
33#11763433C411yescharacteristic
34#11763432C411yescharacteristic
35#11763429C411yescharacteristic
36#11763429C411yescharacteristic
37#11763420C411yescharacteristic
38#11763419C411yescharacteristic
39#11763418C411yescharacteristic
40#11763418C411yescharacteristic
41#11763407C411yescharacteristic
42#11763407C411yescharacteristic
43#11763405C411yescharacteristic
44#11763405C411yescharacteristic
45#11763389C411yescharacteristic
46#11763384C411yescharacteristic
47#11763382C411yescharacteristic
48#11763363C2211yescharacteristic
49#11763363C2211yescharacteristic
50#11763363C2211yescharacteristic
51#11763346C2211yescharacteristic
52#11763346C2211yescharacteristic
53#11763346C2211yescharacteristic
54#11763343C2211yescharacteristic
55#11763337C2211yescharacteristic
56#11763337C2211yescharacteristic
57#11763337C2211yescharacteristic
58#11763337C2211yescharacteristic
59C4×#63256C2211yescharacteristic
60C4×#63252C2211yescharacteristic
61C4×Q8×D17C2211yescharacteristic
62#11762940C2211yescharacteristic
63#11762940C2211yescharacteristic
64#11762940C2211yescharacteristic
65#11762940C2211yescharacteristic
66#11762940C2211yescharacteristic
67#11762940C2211yescharacteristic
68#11762939C2211yescharacteristic
69#11762938C2211yescharacteristic
70#11762938C2211yescharacteristic
71#11762938C2211yescharacteristic
72#11762938C2211yescharacteristic
73#11762938C2211yescharacteristic
74#11762938C2211yescharacteristic
75#11762937C2211yescharacteristic
76#11762937C2211yescharacteristic
77#11762937C2211yescharacteristic
78#11762937C2211yescharacteristic
79#11762937C2211yescharacteristic
80#11762937C2211yescharacteristic
81#11762937C2211yescharacteristic
82#11762937C2211yescharacteristic
83#11762936C2211yescharacteristic
84Q8×#3622C2211yescharacteristic
85Q8×#3622C2211yescharacteristic
86C8×Dic34C2211yescharacteristic
87C8×Dic34C2211yescharacteristic
88C8×Dic34C2211yescharacteristic
89#11762933C2211yescharacteristic
90#11762933C2211yescharacteristic
91#11762933C2211yescharacteristic
92#11762933C2211yescharacteristic
93#11762933C2211yescharacteristic
94#11762888C2211yescharacteristic
95#11762888C2211yescharacteristic
96#11762888C2211yescharacteristic
97#11762886C2211yescharacteristic
98#11762886C2211yescharacteristic
99#11762886C2211yescharacteristic
100#11762886C2211yescharacteristic
101#11762886C2211yescharacteristic
102#11762885C2211yescharacteristic
103#11762885C2211yescharacteristic
104#11762885C2211yescharacteristic
105#11762885C2211yescharacteristic
106#11762885C2211yescharacteristic
107#11762885C2211yescharacteristic
108#11762882C2211yescharacteristic
109#11762882C2211yescharacteristic
110#11762882C2211yescharacteristic
111#11762882C2211yescharacteristic
112#11762882C2211yescharacteristic
113#11762882C2211yescharacteristic
114#11762882C2211yescharacteristic
115#11762882C2211yescharacteristic
116#11762880C2211yescharacteristic
117#11762880C2211yescharacteristic
118#11762880C2211yescharacteristic
119#11762880C2211yescharacteristic
120#11762879C2211yescharacteristic
121#11762879C2211yescharacteristic
122#11762879C2211yescharacteristic
123#11762879C2211yescharacteristic
124#11762879C2211yescharacteristic
125#11762879C2211yescharacteristic
126#11762878C2211yescharacteristic
127#11762878C2211yescharacteristic
128C8×D68C2211yescharacteristic
129#11762874C2211yescharacteristic
130C8×C22⋊D17C2211yescharacteristic
131C8×C22⋊D17C2211yescharacteristic
132C8×C22⋊D17C2211yescharacteristic
133C8×C22⋊D17C2211yescharacteristic
134#11762871C2211yescharacteristic
135#11762871C2211yescharacteristic
136#11762871C2211yescharacteristic
137#11762871C2211yescharacteristic
138#11762870C2211yescharacteristic
139#11762870C2211yescharacteristic
140#11762870C2211yescharacteristic
141#11762870C2211yescharacteristic
142#11762869C2211yescharacteristic
143#11762869C2211yescharacteristic
144#11762869C2211yescharacteristic
145#11762869C2211yescharacteristic
146#11762869C2211yescharacteristic
147#11762869C2211yescharacteristic
148#11762868C2211yescharacteristic
149#11762868C2211yescharacteristic
150#11762866C2211yescharacteristic
151#11762865C2211yescharacteristic
152#11762864C2211yescharacteristic
153#11762864C2211yescharacteristic
154#11762864C2211yescharacteristic
155#11762864C2211yescharacteristic
156#11762862C2211yescharacteristic
157#11762861C2211yescharacteristic
158#11762861C2211yescharacteristic
159#11762861C2211yescharacteristic
160#11762861C2211yescharacteristic
161#11762861C2211yescharacteristic
162#11762860C2211yescharacteristic
163#11762860C2211yescharacteristic
164#11762834C2211yescharacteristic
165#11762834C2211yescharacteristic
166#11762834C2211yescharacteristic
167#11762834C2211yescharacteristic
168#11762834C2211yescharacteristic
169#11762834C2211yescharacteristic
170#11762831C2211yescharacteristic
171#11762831C2211yescharacteristic
172#11762831C2211yescharacteristic
173#11762831C2211yescharacteristic
174#11762831C2211yescharacteristic
175C4⋊C8×D17C2211yescharacteristic
176#11762766C2211yescharacteristic
177#11762766C2211yescharacteristic
178#11762766C2211yescharacteristic
179#11762766C2211yescharacteristic
180#11762763C2211yescharacteristic
181#11762763C2211yescharacteristic
182#11762761C2211yescharacteristic
183#11762761C2211yescharacteristic
184#11762761C2211yescharacteristic
185C4×#63218C2211yescharacteristic
186#97×D17C2211yescharacteristic
187C4×C8×D17C2211yescharacteristic
188C17×#533C2211yescharacteristic
189C17×#446C2211yescharacteristic
190C17×#446C2211yescharacteristic
191C17×#446C2211yescharacteristic
192C17×#446C2211yescharacteristic
193C17×#446C2211yescharacteristic
194C17×#446C2211yescharacteristic
195C17×#446C2211yescharacteristic
196C17×#446C2211yescharacteristic
197C17×#424C2211yescharacteristic
198C17×#424C2211yescharacteristic
199C17×#423C2211yescharacteristic
200C17×#405C2211yescharacteristic
201C17×#405C2211yescharacteristic
202C2×C17×#97C2211yescharacteristic
203C2×#63256C2×C411yescharacteristic
204C2×Q8×D17C2×C411yescharacteristic
205C2×#63252C2×C411yescharacteristic
206C2×M16×C17C2311yescharacteristic
207C2×M16×C17C2311yescharacteristic
208C22×C8×C17C2311yescharacteristic
209C22×C8×C17C2311yescharacteristic
210C17×C4⋊Q8C2×C411yescharacteristic
211C17×C4⋊Q8C2×C411yescharacteristic
212C17×#125C2×C411yescharacteristic
213C17×#125C2×C411yescharacteristic
214C17×C22⋊Q8C2×C411yescharacteristic
215C17×C22⋊Q8C2×C411yescharacteristic
216C17×C22⋊Q8C2×C411yescharacteristic
217C17×C22⋊Q8C2×C411yescharacteristic
218C4×Q8×C17C2311yescharacteristic
219C4×Q8×C17C2311yescharacteristic
220C4×Q8×C17C2311yescharacteristic
221C4×Q8×C17C2311yescharacteristic
222C17×#117C2311yescharacteristic
223C17×#117C2311yescharacteristic
224C2×C42×C17C2311yescharacteristic
225#10587633C2×C411yescharacteristic
226#10587633C2×C411yescharacteristic
227#10587633C2×C411yescharacteristic
228#10587632C2×C411yescharacteristic
229#10587632C2×C411yescharacteristic
230#10587632C2×C411yescharacteristic
231#10587632C2×C411yescharacteristic
232#10587632C2×C411yescharacteristic
233#10587632C2×C411yescharacteristic
234Q8×Dic17C2×C411yescharacteristic
235Q8×Dic17C2×C411yescharacteristic
236#10587630C2×C411yescharacteristic
237#10587630C2×C411yescharacteristic
238#10587630C2×C411yescharacteristic
239#10587616C2×C411yescharacteristic
240#10587615C2×C411yescharacteristic
241#10587615C2×C411yescharacteristic
242C4×C22⋊D17C2×C411yescharacteristic
243C4×C22⋊D17C2×C411yescharacteristic
244C4×C22⋊D17C2311yescharacteristic
245C4×C22⋊D17C2311yescharacteristic
246C4×C22⋊D17C2311yescharacteristic
247C4×C22⋊D17C2311yescharacteristic
248#10587612C2×C411yescharacteristic
249#10587610C2×C411yescharacteristic
250C2×#63218C2311yescharacteristic
251C2×#63218C2311yescharacteristic
252C2×#63218C2311yescharacteristic
253C2×#63218C2311yescharacteristic
254C2×#63218C2311yescharacteristic
255C2×#63218C2311yescharacteristic
256C2×#63218C2311yescharacteristic
257C2×#63218C2311yescharacteristic
258C2×#63218C2311yescharacteristic
259C2×#63218C2311yescharacteristic
260C2×C8×D17C2311yescharacteristic
261C2×C8×D17C2311yescharacteristic
262C2×C8×D17C2311yescharacteristic
263C2×C8×D17C2311yescharacteristic
264C2×C8×D17C2311yescharacteristic
265C2×C8×D17C2311yescharacteristic
266#10587584C2×C411yescharacteristic
267#10587584C2×C411yescharacteristic
268#10587584C2×C411yescharacteristic
269#10587584C2×C411yescharacteristic
270#10587584C2×C411yescharacteristic
271#10587584C2×C411yescharacteristic
272#10587584C2×C411yescharacteristic
273#10587584C2×C411yescharacteristic
274#10587584C2×C411yescharacteristic
275#10587584C2×C411yescharacteristic
276#10587583C2×C411yescharacteristic
277#10587583C2×C411yescharacteristic
278#10587583C2×C411yescharacteristic
279#10587582C2×C411yescharacteristic
280#10587582C2×C411yescharacteristic
281#10587582C2×C411yescharacteristic
282#10587582C2×C411yescharacteristic
283#10587582C2×C411yescharacteristic
284#10587582C2×C411yescharacteristic
285#10587582C2×C411yescharacteristic
286#10587582C2×C411yescharacteristic
287#10587582C2×C411yescharacteristic
288#10587582C2×C411yescharacteristic
289#10587581C2×C411yescharacteristic
290#10587581C2×C411yescharacteristic
291#10587581C2×C411yescharacteristic
292#10587580C2×C411yescharacteristic
293#10587580C2×C411yescharacteristic
294#10587580C2×C411yescharacteristic
295#10587580C2×C411yescharacteristic
296#10587580C2×C411yescharacteristic
297#10587580C2×C411yescharacteristic
298#10587580C2×C411yescharacteristic
299#10587580C2×C411yescharacteristic
300#10587580C2×C411yescharacteristic
301#10587580C2×C411yescharacteristic
302#10587579C2×C411yescharacteristic
303#10587579C2×C411yescharacteristic
304#10587579C2×C411yescharacteristic
305#10587578C2×C411yescharacteristic
306#10587578C2×C411yescharacteristic
307#10587578C2×C411yescharacteristic
308C4⋊C4×D17C2×C411yescharacteristic
309C4⋊C4×D17C2×C411yescharacteristic
310C4⋊C4×D17C2×C411yescharacteristic
311#10587576C2×C411yescharacteristic
312#10587576C2×C411yescharacteristic
313#10587576C2×C411yescharacteristic
314#10587575C2×C411yescharacteristic
315#10587575C2×C411yescharacteristic
316#10587575C2×C411yescharacteristic
317#10587575C2×C411yescharacteristic
318#10587575C2×C411yescharacteristic
319#10587575C2×C411yescharacteristic
320#10587575C2×C411yescharacteristic
321#10587575C2×C411yescharacteristic
322#10587575C2×C411yescharacteristic
323#10587575C2×C411yescharacteristic
324#10587574C2×C411yescharacteristic
325#10587574C2×C411yescharacteristic
326#10587574C2×C411yescharacteristic
327#10587573C2×C411yescharacteristic
328#10587573C2×C411yescharacteristic
329#10587573C2×C411yescharacteristic
330#10587571C2×C411yescharacteristic
331#10587571C2×C411yescharacteristic
332#10587571C2×C411yescharacteristic
333#10587571C2×C411yescharacteristic
334#10587570C2×C411yescharacteristic
335#10587570C2×C411yescharacteristic
336#10587570C2×C411yescharacteristic
337#10587570C2×C411yescharacteristic
338#10587569C2×C411yescharacteristic
339#10587569C2×C411yescharacteristic
340#10587569C2×C411yescharacteristic
341#10587569C2×C411yescharacteristic
342#10587565C2×C411yescharacteristic
343#10587565C2×C411yescharacteristic
344#10587565C2×C411yescharacteristic
345#10587565C2×C411yescharacteristic
346#10587562C2×C411yescharacteristic
347#10587562C2×C411yescharacteristic
348#10587561C2×C411yescharacteristic
349C4×D68C2×C411yescharacteristic
350C4×D68C2311yescharacteristic
351C4×D68C2311yescharacteristic
352C4×D68C2311yescharacteristic
353C4×D68C2311yescharacteristic
354C4×D68C2311yescharacteristic
355C4×D68C2311yescharacteristic
356#10587558C2×C411yescharacteristic
357#10587558C2×C411yescharacteristic
358#10587558C2311yescharacteristic
359#10587558C2311yescharacteristic
360#10587558C2311yescharacteristic
361#10587558C2311yescharacteristic
362#10587558C2311yescharacteristic
363#10587558C2311yescharacteristic
364C42×D17C2311yescharacteristic
365C42×D17C2311yescharacteristic
366C42×D17C2311yescharacteristic
367C42×D17C2311yescharacteristic
368C42×D17C2311yescharacteristic
369C42×D17C2311yescharacteristic
370#10587556C2×C411yescharacteristic
371C4×Dic34C2×C411yescharacteristic
372C4×Dic34C2311yescharacteristic
373C4×Dic34C2311yescharacteristic
374C4×Dic34C2311yescharacteristic
375C4×Dic34C2311yescharacteristic
376C4×Dic34C2311yescharacteristic
377C4×Dic34C2311yescharacteristic
378C17×C4⋊C8C2311yescharacteristic
379C17×C4⋊C8C2311yescharacteristic
380C17×C4⋊C8C2311yescharacteristic
381C17×C4⋊C8C2311yescharacteristic
382C17×C4⋊C8C2311yescharacteristic
383C17×C4⋊C8C2311yescharacteristic
384C17×C4⋊C8C2311yescharacteristic
385C17×C4⋊C8C2311yescharacteristic
386C17×C4⋊C8C2311yescharacteristic
387C17×C4⋊C8C2311yescharacteristic
388C17×C4⋊C8C2311yescharacteristic
389C17×C4⋊C8C2311yescharacteristic
390C17×#97C2311yescharacteristic
391C17×#97C2311yescharacteristic
392C17×#97C2311yescharacteristic
393C17×#97C2311yescharacteristic
394C17×#97C2311yescharacteristic
395C17×#97C2311yescharacteristic
396C17×#97C2311yescharacteristic
397C17×#97C2311yescharacteristic
398C4×C8×C17C2311yescharacteristic
399C4×C8×C17C2311yescharacteristic
400C4×C8×C17C2311yescharacteristic
401C4×C8×C17C2311yescharacteristic
402C22⋊#3622C2311yescharacteristic
403C22⋊#3622C2311yescharacteristic
404C22⋊#3622C2311yescharacteristic
405C22⋊#3622C2311yescharacteristic
406#10587491C2311yescharacteristic
407#10587491C2311yescharacteristic
408#10587491C2311yescharacteristic
409#10587491C2311yescharacteristic
410#10587491C2311yescharacteristic
411#10587491C2311yescharacteristic
412#10587491C2311yescharacteristic
413#10587491C2311yescharacteristic
414#10587491C2311yescharacteristic
415#10587491C2311yescharacteristic
416#10587491C2311yescharacteristic
417#10587491C2311yescharacteristic
418#10587491C2311yescharacteristic
419#10587491C2311yescharacteristic
420#10587491C2311yescharacteristic
421#10587491C2311yescharacteristic
422#10587486C2311yescharacteristic
423#10587486C2311yescharacteristic
424#10587486C2311yescharacteristic
425#10587486C2311yescharacteristic
426#10587486C2311yescharacteristic
427#10587486C2311yescharacteristic
428#10587485C2311yescharacteristic
429#10587485C2311yescharacteristic
430#10587485C2311yescharacteristic
431#10587485C2311yescharacteristic
432#10587485C2311yescharacteristic
433#10587485C2311yescharacteristic
434#10587485C2311yescharacteristic
435#10587485C2311yescharacteristic
436#10587485C2311yescharacteristic
437#10587485C2311yescharacteristic
438#10587485C2311yescharacteristic
439#10587485C2311yescharacteristic
440#10587485C2311yescharacteristic
441#10587485C2311yescharacteristic
442#10587485C2311yescharacteristic
443#10587485C2311yescharacteristic
444C8×Dic17C2311yescharacteristic
445C8×Dic17C2311yescharacteristic
446C8×Dic17C2311yescharacteristic
447C8×Dic17C2311yescharacteristic
448C8×Dic17C2311yescharacteristic
449C8×Dic17C2311yescharacteristic
450C8×Dic17C2311yescharacteristic
451C8×Dic17C2311yescharacteristic
452C8×Dic17C2311yescharacteristic
453C8×Dic17C2311yescharacteristic
454C4⋊#3622C2311yescharacteristic
455C4⋊#3622C2311yescharacteristic
456C4⋊#3622C2311yescharacteristic
457C4⋊#3622C2311yescharacteristic
458C4⋊#3622C2311yescharacteristic
459C4⋊#3622C2311yescharacteristic
460C4⋊#3622C2311yescharacteristic
461C4⋊#3622C2311yescharacteristic
462C4⋊#3622C2311yescharacteristic
463C4⋊#3622C2311yescharacteristic
464C4⋊#3622C2311yescharacteristic
465C4⋊#3622C2311yescharacteristic
466#10587474C2311yescharacteristic
467#10587474C2311yescharacteristic
468#10587474C2311yescharacteristic
469#10587474C2311yescharacteristic
470#10587474C2311yescharacteristic
471#10587474C2311yescharacteristic
472C4×#3622C2311yescharacteristic
473C4×#3622C2311yescharacteristic
474C4×#3622C2311yescharacteristic
475C4×#3622C2311yescharacteristic
476C4×#3622C2311yescharacteristic
477C4×#3622C2311yescharacteristic
478C2×Q8×C17C22×C411yescharacteristic
479C2×Q8×C17C22×C411yescharacteristic
480C2×Q8×C17C22×C411yescharacteristic
481C2×Q8×C17C22×C411yescharacteristic
482C22×C4×C17C22×C411yescharacteristic
483C22×C4×C17C22×C411yescharacteristic
484C22×C4×C17C2411yescharacteristic
485C2×C22⋊D17C22×C411yescharacteristic
486C2×C22⋊D17C22×C411yescharacteristic
487C2×C22⋊D17C22×C411yescharacteristic
488C2×C22⋊D17C22×C411yescharacteristic
489#63256—42no—
490Q8×D17—42no—
491#63252—42no—
492C2×D68C22×C411yescharacteristic
493C2×D68C22×C411yescharacteristic
494C2×D68C22×C411yescharacteristic
495C2×D68C22×C411yescharacteristic
496C2×D68C22×C411yescharacteristic
497C2×D68C22×C411yescharacteristic
498C2×C4×D17C22×C411yescharacteristic
499C2×C4×D17C22×C411yescharacteristic
500C2×C4×D17C22×C411yescharacteristic
501C2×C4×D17C22×C411yescharacteristic
502C2×C4×D17C22×C411yescharacteristic
503C2×C4×D17C22×C411yescharacteristic
504C2×C4×D17C22×C411yescharacteristic
505C2×C4×D17C22×C411yescharacteristic
506C2×C4×D17C22×C411yescharacteristic
507C2×C4×D17C22×C411yescharacteristic
508C2×C4×D17C22×C411yescharacteristic
509C2×C4×D17C22×C411yescharacteristic
510C2×C4×D17C2411yescharacteristic
511C2×C4×D17C2411yescharacteristic
512C2×C4×D17C2411yescharacteristic
513C2×C4×D17C2411yescharacteristic
514C2×Dic34C22×C411yescharacteristic
515C2×Dic34C22×C411yescharacteristic
516C2×Dic34C22×C411yescharacteristic
517C2×Dic34C22×C411yescharacteristic
518C2×Dic34C22×C411yescharacteristic
519C2×Dic34C22×C411yescharacteristic
520M16×C17—41no—
521M16×C17—41no—
522C2×C8×C17—22no—
523C2×C8×C17—41no—
524C2×C8×C17C2411yescharacteristic
525C2×C8×C17C2411yescharacteristic
526C2×C8×C17C2411yescharacteristic
527C2×C8×C17C2411yescharacteristic
528C2×C8×C17C2411yescharacteristic
529C2×C8×C17C2411yescharacteristic
530C2×C8×C17C2411yescharacteristic
531C2×C8×C17C2411yescharacteristic
532C4⋊C4×C17C22×C411yescharacteristic
533C4⋊C4×C17C22×C411yescharacteristic
534C4⋊C4×C17C22×C411yescharacteristic
535C4⋊C4×C17C22×C411yescharacteristic
536C4⋊C4×C17C22×C411yescharacteristic
537C4⋊C4×C17C22×C411yescharacteristic
538C4⋊C4×C17C22×C411yescharacteristic
539C4⋊C4×C17C22×C411yescharacteristic
540C4⋊C4×C17C22×C411yescharacteristic
541C4⋊C4×C17C22×C411yescharacteristic
542C4⋊C4×C17C22×C411yescharacteristic
543C4⋊C4×C17C22×C411yescharacteristic
544C4⋊C4×C17C22×C411yescharacteristic
545C4⋊C4×C17C22×C411yescharacteristic
546C4⋊C4×C17C22×C411yescharacteristic
547C4⋊C4×C17C22×C411yescharacteristic
548C22⋊C4×C17C22×C411yescharacteristic
549C22⋊C4×C17C22×C411yescharacteristic
550C22⋊C4×C17C22×C411yescharacteristic
551C22⋊C4×C17C22×C411yescharacteristic
552C42×C17C22×C411yescharacteristic
553C42×C17C22×C411yescharacteristic
554C42×C17C2411yescharacteristic
555C42×C17C2411yescharacteristic
556C42×C17C2411yescharacteristic
557C42×C17C2411yescharacteristic
558C42×C17C2411yescharacteristic
559C42×C17C2411yescharacteristic
560C22⋊Dic17C22×C411yescharacteristic
561C22⋊Dic17C22×C411yescharacteristic
562C22⋊Dic17C22×C411yescharacteristic
563C22⋊Dic17C22×C411yescharacteristic
564#63227C22×C411yescharacteristic
565#63227C22×C411yescharacteristic
566#63227C22×C411yescharacteristic
567#63227C22×C411yescharacteristic
568#63227C22×C411yescharacteristic
569#63227C22×C411yescharacteristic
570#63227C22×C411yescharacteristic
571#63227C22×C411yescharacteristic
572#63227C22×C411yescharacteristic
573#63227C22×C411yescharacteristic
574#63227C22×C411yescharacteristic
575#63227C22×C411yescharacteristic
576#63227C22×C411yescharacteristic
577#63227C22×C411yescharacteristic
578#63227C22×C411yescharacteristic
579#63227C22×C411yescharacteristic
580#63227C22×C411yescharacteristic
581#63227C22×C411yescharacteristic
582#63227C22×C411yescharacteristic
583#63227C22×C411yescharacteristic
584#63227C22×C411yescharacteristic
585#63227C22×C411yescharacteristic
586#63227C22×C411yescharacteristic
587#63227C22×C411yescharacteristic
588#63227C22×C411yescharacteristic
589#63227C22×C411yescharacteristic
590#63227C22×C411yescharacteristic
591#63227C22×C411yescharacteristic
592C4⋊Dic17C22×C411yescharacteristic
593C4⋊Dic17C22×C411yescharacteristic
594C4⋊Dic17C22×C411yescharacteristic
595C4⋊Dic17C22×C411yescharacteristic
596C4⋊Dic17C22×C411yescharacteristic
597C4⋊Dic17C22×C411yescharacteristic
598C4⋊Dic17C22×C411yescharacteristic
599C4⋊Dic17C22×C411yescharacteristic
600C4⋊Dic17C22×C411yescharacteristic
601C4⋊Dic17C22×C411yescharacteristic
602C4⋊Dic17C22×C411yescharacteristic
603C4⋊Dic17C22×C411yescharacteristic
604#63225C22×C411yescharacteristic
605#63225C22×C411yescharacteristic
606#63225C22×C411yescharacteristic
607#63225C22×C411yescharacteristic
608#63225C22×C411yescharacteristic
609#63225C22×C411yescharacteristic
610#63225C22×C411yescharacteristic
611#63225C22×C411yescharacteristic
612#63225C22×C411yescharacteristic
613#63225C22×C411yescharacteristic
614#63225C22×C411yescharacteristic
615#63225C22×C411yescharacteristic
616#63225C22×C411yescharacteristic
617#63225C22×C411yescharacteristic
618#63225C22×C411yescharacteristic
619#63225C22×C411yescharacteristic
620#63225C22×C411yescharacteristic
621#63225C22×C411yescharacteristic
622#63225C22×C411yescharacteristic
623#63225C22×C411yescharacteristic
624#63225C22×C411yescharacteristic
625#63225C22×C411yescharacteristic
626#63225C22×C411yescharacteristic
627#63225C22×C411yescharacteristic
628#63225C22×C411yescharacteristic
629#63225C22×C411yescharacteristic
630#63225C22×C411yescharacteristic
631#63225C22×C411yescharacteristic
632C4×Dic17C22×C411yescharacteristic
633C4×Dic17C22×C411yescharacteristic
634C4×Dic17C22×C411yescharacteristic
635C4×Dic17C22×C411yescharacteristic
636C4×Dic17C22×C411yescharacteristic
637C4×Dic17C22×C411yescharacteristic
638C4×Dic17C22×C411yescharacteristic
639C4×Dic17C22×C411yescharacteristic
640C4×Dic17C22×C411yescharacteristic
641C4×Dic17C22×C411yescharacteristic
642C4×Dic17C22×C411yescharacteristic
643C4×Dic17C22×C411yescharacteristic
644C4×Dic17C2411yescharacteristic
645C4×Dic17C2411yescharacteristic
646C4×Dic17C2411yescharacteristic
647C4×Dic17C2411yescharacteristic
648C2×#3622C2411yescharacteristic
649C2×#3622C2411yescharacteristic
650C2×#3622C2411yescharacteristic
651C2×#3622C2411yescharacteristic
652C2×#3622C2411yescharacteristic
653C2×#3622C2411yescharacteristic
654C2×#3622C2411yescharacteristic
655C2×#3622C2411yescharacteristic
656#63218—22no—
657#63218—22no—
658#63218—41no—
659#63218—41no—
660#63218—41no—
661#63218—41no—
662#63218—41no—
663#63218—41no—
664#63218—41no—
665#63218—41no—
666C8×D17—22no—
667C8×D17—22no—
668C8×D17—41no—
669C8×D17—41no—
670C8×D17—41no—
671C8×D17—41no—
672#60344—171nomaximal, Sylow
673C23×C17C23×C411yescharacteristic
674C22×D17C23×C411yescharacteristic
675C22×D17C23×C411yescharacteristic
676C22×D17C23×C411yescharacteristic
677C22×D17C23×C411yescharacteristic
678Q8×C17—41no—
679Q8×C17—41no—
680Q8×C17—41no—
681Q8×C17—41no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—41no—
685C2×C4×C17—41no—
686C2×C4×C17C23×C411yescharacteristic
687C2×C4×C17C23×C411yescharacteristic
688C2×C4×C17C23×C411yescharacteristic
689C2×C4×C17C23×C411yescharacteristic
690C2×C4×C17C23×C411yescharacteristic
691C2×C4×C17C23×C411yescharacteristic
692C2×C4×C17C23×C411yescharacteristic
693C2×C4×C17C23×C411yescharacteristic
694C2×C4×C17C23×C411yescharacteristic
695C2×C4×C17C23×C411yescharacteristic
696C2×C4×C17C23×C411yescharacteristic
697C2×C4×C17C23×C411yescharacteristic
698C2×C4×C17C23×C411yescharacteristic
699C2×C4×C17C2511yescharacteristic
700C22⋊D17—22no—
701C22⋊D17—41no—
702C22⋊D17—41no—
703C22⋊D17—41no—
704C2×Dic17C23×C411yescharacteristic
705C2×Dic17C23×C411yescharacteristic
706C2×Dic17C23×C411yescharacteristic
707C2×Dic17C23×C411yescharacteristic
708C2×Dic17C23×C411yescharacteristic
709C2×Dic17C23×C411yescharacteristic
710C2×Dic17C23×C411yescharacteristic
711C2×Dic17C23×C411yescharacteristic
712C2×Dic17C23×C411yescharacteristic
713C2×Dic17C23×C411yescharacteristic
714C2×Dic17C23×C411yescharacteristic
715C2×Dic17C23×C411yescharacteristic
716D68—41no—
717D68—41no—
718D68—41no—
719D68—41no—
720D68—41no—
721D68—41no—
722C4×D17—21no—
723C4×D17—21no—
724C4×D17—21no—
725C4×D17—21no—
726C4×D17—21no—
727C4×D17—21no—
728C4×D17—21no—
729C4×D17—21no—
730C4×D17—22no—
731C4×D17—22no—
732C4×D17—22no—
733C4×D17—41no—
734C4×D17—41no—
735C4×D17—41no—
736C4×D17—41no—
737C4×D17—41no—
738C4×D17—41no—
739C4×D17—41no—
740C4×D17—41no—
741C4×D17—41no—
742Dic34—22no—
743Dic34—22no—
744Dic34—22no—
745Dic34—41no—
746Dic34—41no—
747Dic34—41no—
748C8×C17—21no—
749C8×C17—21no—
750C8×C17—21no—
751C8×C17—21no—
752C8×C17—21no—
753C8×C17—21no—
754C8×C17—21no—
755C8×C172−1+412yes—
756#3622—21no—
757#3622—21no—
758#3622—21no—
759#3622—21no—
760#3622—21no—
761#3622—21no—
762#3622—21no—
763#3622—21no—
764#3461—171no—
765#2995—171no—
766#2995—171no—
767#2995—171no—
768#2995—171no—
769#2994—171no—
770#2993—171no—
771#2993—171no—
772#2993—171no—
773#2991—171no—
774#2989—171no—
775#2986—171no—
776#2985—171no—
777#2985—171no—
778#2985—171no—
779#2984—171no—
780#2970—171no—
781#2969—171no—
782#2969—171no—
783#2969—171no—
784#2968—171no—
785#2968—171no—
786#2967—171no—
787#2967—171no—
788#2966—171no—
789#2965—171no—
790Q8×M16—171no—
791#2962—171no—
792#2961—171no—
793#2961D1711yescharacteristic, complemented
794#2960—171no—
795C22×C17—21no—
796C22×C17—21no—
797C22×C17—21no—
798C22×C17C24×C411yescharacteristic
799C2×D17—21no—
800C2×D17—21no—
801C2×D17—21no—
802C2×D17—21no—
803C2×D17—21no—
804C2×D17—21no—
805C2×D17—21no—
806C2×D17—21no—
807C2×D17—21no—
808C2×D17—21no—
809C2×D17—21no—
810C2×D17—21no—
811C4×C17—21no—
812C4×C17—21no—
813C4×C17—21no—
814C4×C17—21no—
815C4×C17—21no—
816C4×C17—21no—
817C4×C17—21no—
818C4×C17—21no—
819C4×C17—21no—
820C4×C17—21no—
821C4×C17—21no—
822C4×C17—21no—
823C4×C17—21no—
824C4×C17C2×2−1+411yescharacteristic
825C4×C17#58511yescharacteristic
826Dic17—21no—
827Dic17—21no—
828Dic17—21no—
829Dic17—21no—
830Dic17—21no—
831Dic17—21no—
832Dic17—21no—
833Dic17—21no—
834Dic17—21no—
835Dic17—21no—
836Dic17—21no—
837Dic17#56812yes—
838#544—171no—
839#542—171no—
840#542—171no—
841#542—171no—
842#542—171no—
843#541—171no—
844#541—171no—
845#541—171no—
846#541—171no—
847#539—171no—
848#539—171no—
849#539—171no—
850#539—171no—
851#537—171no—
852#536—171no—
853#536—171no—
854#533—171no—
855#533—171no—
856#533—171no—
857#533C2×D1711yescharacteristic
858#529—171no—
859#529—171no—
860#529—171no—
861#529—171no—
862#529—171no—
863#529—171no—
864#529—171no—
865#529—171no—
866C4×#41—171no—
867C4×#41—171no—
868C2×C4×Q8—171no—
869#446—171no—
870#446—171no—
871#446—171no—
872#446—171no—
873#446—171no—
874#446—171no—
875#446—171no—
876#446—171no—
877#446—171no—
878#446—171no—
879#446—171no—
880#446—171no—
881#446—171no—
882#446—171no—
883#446—171no—
884#446—171no—
885#446—171no—
886#446—171no—
887#446—171no—
888#446—171no—
889#446—171no—
890#446—171no—
891#446C2×D1711yescharacteristic
892#446C2×D1711yescharacteristic
893#446C2×D1711yescharacteristic
894#446C2×D1711yescharacteristic
895#446C2×D1711yescharacteristic
896#446C2×D1711yescharacteristic
897#446C2×D1711yescharacteristic
898#446C2×D1711yescharacteristic
899C8×Q8—171no—
900C8×Q8—171no—
901C8×Q8—171no—
902C8×Q8—171no—
903C8×Q8—171no—
904C8×Q8—171no—
905C8×Q8—171no—
906C8×Q8—171no—
907C8×Q8—171no—
908C8×Q8—171no—
909#436—171no—
910#436—171no—
911#436—171no—
912#436—171no—
913#436—171no—
914#436—171no—
915#436—171no—
916#436—171no—
917#436—171no—
918#436—171no—
919#436—171no—
920#436—171no—
921#436—171no—
922#436—171no—
923#435—171no—
924#435—171no—
925#435—171no—
926#435—171no—
927#435—171no—
928#435—171no—
929#435—171no—
930#435—171no—
931#435—171no—
932#435—171no—
933#435—171no—
934#435—171no—
935#435—171no—
936#435—171no—
937#435—171no—
938#435—171no—
939#435—171no—
940#435—171no—
941#435—171no—
942#435—171no—
943C8×D4—171no—
944C8×D4—171no—
945C8×D4—171no—
946C8×D4—171no—
947C8×D4—171no—
948C8×D4—171no—
949#433—171no—
950#433—171no—
951#433—171no—
952#433—171no—
953#433—171no—
954#433—171no—
955#433—171no—
956#433—171no—
957#433—171no—
958#433—171no—
959#433—171no—
960#433—171no—
961#433—171no—
962#433—171no—
963#433—171no—
964#433—171no—
965#432—171no—
966#432—171no—
967#432—171no—
968#432—171no—
969#432—171no—
970#432—171no—
971#431—171no—
972#431—171no—
973#431—171no—
974#431—171no—
975#431—171no—
976#431—171no—
977#431—171no—
978#431—171no—
979#424—171no—
980#424—171no—
981#424—171no—
982#424—171no—
983#424—171no—
984#424—171no—
985#424C2×D1711yescharacteristic
986#424C2×D1711yescharacteristic
987#423—171no—
988#423—171no—
989#423—171no—
990#423—171no—
991#423—171no—
992#423C2×D1711yescharacteristic
993C2×C4⋊C8—171no—
994#405—171no—
995#405—171no—
996#405—171no—
997#405—171no—
998#405—171no—
999#405—171no—
1000#405C2×D1711yescharacteristic
1001#405C2×D1711yescharacteristic
1002C4×M16—171no—
1003C4×M16—171no—
1004C4×M16—171no—
1005C4×M16—171no—
1006C2×#97—171no—
1007C2×#97C2×D1711yescharacteristic
1008C2×C4×C8—171no—
1009C2×C17—41no—
1010C2×C17C4×2−1+411yescharacteristic
1011C2×C17C2×#56811yescharacteristic
1012C2×C17#357311yescharacteristic
1013D17—41no—
1014D17—41no—
1015D17—41no—
1016D17—41no—
1017C2×#41—171no—
1018C2×#41—171no—
1019C22×Q8—171no—
1020C2×M16—171no—
1021C2×M16—171no—
1022C2×M16—171no—
1023C2×M16—171no—
1024C2×M16—171no—
1025C2×M16—171no—
1026C2×M16—171no—
1027C2×M16—171no—
1028C2×M16—171no—
1029C2×M16—171no—
1030C2×M16C22×D1711yescharacteristic
1031C2×M16C22×D1711yescharacteristic
1032C22×C8—171no—
1033C22×C8—171no—
1034C22×C8—171no—
1035C22×C8—171no—
1036C22×C8—171no—
1037C22×C8—171no—
1038C22×C8C22×D1711yescharacteristic
1039C22×C8C22×D1711yescharacteristic
1040C4⋊Q8—171no—
1041C4⋊Q8—171no—
1042C4⋊Q8—171no—
1043C4⋊Q8—171no—
1044C4⋊Q8—171no—
1045C4⋊Q8—171no—
1046C4⋊Q8C4×D1711yescharacteristic
1047C4⋊Q8C4×D1711yescharacteristic
1048#126—171no—
1049#126—171no—
1050#126—171no—
1051#126—171no—
1052#126—171no—
1053#126—171no—
1054#126—171no—
1055#126—171no—
1056#126—171no—
1057#126—171no—
1058#126—171no—
1059#126—171no—
1060#126—171no—
1061#126—171no—
1062#126—171no—
1063#126—171no—
1064#125—171no—
1065#125—171no—
1066#125—171no—
1067#125—171no—
1068#125—171no—
1069#125—171no—
1070#125—171no—
1071#125—171no—
1072#125—171no—
1073#125—171no—
1074#125—171no—
1075#125—171no—
1076#125—171no—
1077#125—171no—
1078#125C4×D1711yescharacteristic
1079#125C4×D1711yescharacteristic
1080#124—171no—
1081#124—171no—
1082#124—171no—
1083#124—171no—
1084#124—171no—
1085#124—171no—
1086#124—171no—
1087#124—171no—
1088#123—171no—
1089#123—171no—
1090#123—171no—
1091#123—171no—
1092#123—171no—
1093#123—171no—
1094#123—171no—
1095#123—171no—
1096#123—171no—
1097#123—171no—
1098#123—171no—
1099#123—171no—
1100#123—171no—
1101#123—171no—
1102#123—171no—
1103#123—171no—
1104C22⋊Q8—171no—
1105C22⋊Q8—171no—
1106C22⋊Q8—171no—
1107C22⋊Q8—171no—
1108C22⋊Q8—171no—
1109C22⋊Q8—171no—
1110C22⋊Q8—171no—
1111C22⋊Q8—171no—
1112C22⋊Q8—171no—
1113C22⋊Q8—171no—
1114C22⋊Q8—171no—
1115C22⋊Q8—171no—
1116C22⋊Q8—171no—
1117C22⋊Q8—171no—
1118C22⋊Q8—171no—
1119C22⋊Q8—171no—
1120C22⋊Q8—171no—
1121C22⋊Q8—171no—
1122C22⋊Q8—171no—
1123C22⋊Q8—171no—
1124C22⋊Q8C4×D1711yescharacteristic
1125C22⋊Q8C4×D1711yescharacteristic
1126C22⋊Q8C4×D1711yescharacteristic
1127C22⋊Q8C4×D1711yescharacteristic
1128#121—171no—
1129#121—171no—
1130#121—171no—
1131#121—171no—
1132#121—171no—
1133#121—171no—
1134#121—171no—
1135#121—171no—
1136C4×Q8—171no—
1137C4×Q8—171no—
1138C4×Q8—171no—
1139C4×Q8—171no—
1140C4×Q8—171no—
1141C4×Q8—171no—
1142C4×Q8—171no—
1143C4×Q8—171no—
1144C4×Q8—171no—
1145C4×Q8—171no—
1146C4×Q8—171no—
1147C4×Q8—171no—
1148C4×Q8C22×D1711yescharacteristic
1149C4×Q8C22×D1711yescharacteristic
1150C4×Q8C22×D1711yescharacteristic
1151C4×Q8C22×D1711yescharacteristic
1152C4×D4—171no—
1153C4×D4—171no—
1154C4×D4—171no—
1155C4×D4—171no—
1156C4×D4—171no—
1157C4×D4—171no—
1158C4×D4—171no—
1159C4×D4—171no—
1160C4×D4—171no—
1161C4×D4—171no—
1162C4×D4—171no—
1163C4×D4—171no—
1164C4×D4—171no—
1165C4×D4—171no—
1166C4×D4—171no—
1167C4×D4—171no—
1168#117—171no—
1169#117—171no—
1170#117—171no—
1171#117—171no—
1172#117—171no—
1173#117—171no—
1174#117—171no—
1175#117—171no—
1176#117—171no—
1177#117—171no—
1178#117—171no—
1179#117—171no—
1180#117C22×D1711yescharacteristic
1181#117C22×D1711yescharacteristic
1182C2×C4⋊C4—171no—
1183C2×C4⋊C4—171no—
1184C2×C4⋊C4—171no—
1185C2×C42—171no—
1186C2×C42—171no—
1187C2×C42—171no—
1188C2×C42—171no—
1189C2×C42—171no—
1190C2×C42—171no—
1191C2×C42C22×D1711yescharacteristic
1192C4⋊C8—171no—
1193C4⋊C8—171no—
1194C4⋊C8—171no—
1195C4⋊C8—171no—
1196C4⋊C8—171no—
1197C4⋊C8—171no—
1198C4⋊C8—171no—
1199C4⋊C8—171no—
1200C4⋊C8—171no—
1201C4⋊C8—171no—
1202C4⋊C8—171no—
1203C4⋊C8—171no—
1204C4⋊C8—171no—
1205C4⋊C8—171no—
1206C4⋊C8—171no—
1207C4⋊C8—171no—
1208C4⋊C8—171no—
1209C4⋊C8—171no—
1210C4⋊C8—171no—
1211C4⋊C8—171no—
1212C4⋊C8—171no—
1213C4⋊C8—171no—
1214C4⋊C8—171no—
1215C4⋊C8—171no—
1216C4⋊C8—171no—
1217C4⋊C8—171no—
1218C4⋊C8—171no—
1219C4⋊C8—171no—
1220C4⋊C8C22×D1711yescharacteristic
1221C4⋊C8C22×D1711yescharacteristic
1222C4⋊C8C22×D1711yescharacteristic
1223C4⋊C8C22×D1711yescharacteristic
1224C4⋊C8C22×D1711yescharacteristic
1225C4⋊C8C22×D1711yescharacteristic
1226C4⋊C8C22×D1711yescharacteristic
1227C4⋊C8C22×D1711yescharacteristic
1228C4⋊C8C22×D1711yescharacteristic
1229C4⋊C8C22×D1711yescharacteristic
1230C4⋊C8C22×D1711yescharacteristic
1231C4⋊C8C22×D1711yescharacteristic
1232C22⋊C8—171no—
1233C22⋊C8—171no—
1234C22⋊C8—171no—
1235C22⋊C8—171no—
1236C22⋊C8—171no—
1237C22⋊C8—171no—
1238C22⋊C8—171no—
1239C22⋊C8—171no—
1240C22⋊C8—171no—
1241C22⋊C8—171no—
1242C22⋊C8—171no—
1243C22⋊C8—171no—
1244C22⋊C8—171no—
1245C22⋊C8—171no—
1246C22⋊C8—171no—
1247C22⋊C8—171no—
1248C22⋊C8—171no—
1249C22⋊C8—171no—
1250C22⋊C8—171no—
1251C22⋊C8—171no—
1252#97—171no—
1253#97—171no—
1254#97—171no—
1255#97—171no—
1256#97—171no—
1257#97—171no—
1258#97—171no—
1259#97—171no—
1260#97—171no—
1261#97—171no—
1262#97—171no—
1263#97—171no—
1264#97C22×D1711yescharacteristic
1265#97C22×D1711yescharacteristic
1266#97C22×D1711yescharacteristic
1267#97C22×D1711yescharacteristic
1268#97C22×D1711yescharacteristic
1269#97C22×D1711yescharacteristic
1270#97C22×D1711yescharacteristic
1271#97C22×D1711yescharacteristic
1272C4×C8—171no—
1273C4×C8—171no—
1274C4×C8—171no—
1275C4×C8—171no—
1276C4×C8—171no—
1277C4×C8—171no—
1278C4×C8—171no—
1279C4×C8—171no—
1280C4×C8—171no—
1281C4×C8—171no—
1282C4×C8—171no—
1283C4×C8—171no—
1284C4×C8—171no—
1285C4×C8—171no—
1286C4×C8—171no—
1287C4×C8—171no—
1288C4×C8C22×D1711yescharacteristic
1289C4×C8C22×D1711yescharacteristic
1290C4×C8C22×D1711yescharacteristic
1291C4×C8C22×D1711yescharacteristic
1292C17#6034411yescharacteristic, complemented, Sylow
1293#41—682no—
1294#41—682no—
1295C2×Q8—171no—
1296C2×Q8—171no—
1297C2×Q8—171no—
1298C2×Q8—171no—
1299C2×Q8—171no—
1300C2×Q8—171no—
1301C2×Q8—682no—
1302C2×Q8C2×C4×D1711yescharacteristic
1303C2×Q8C2×C4×D1711yescharacteristic
1304C2×Q8C2×C4×D1711yescharacteristic
1305C2×Q8C2×C4×D1711yescharacteristic
1306C2×D4—171no—
1307C2×D4—171no—
1308C2×D4—171no—
1309C2×D4—171no—
1310C2×D4—171no—
1311C2×D4—171no—
1312C2×D4—171no—
1313C2×D4—171no—
1314C2×D4—171no—
1315C2×D4—171no—
1316C22×C4—171no—
1317C22×C4—171no—
1318C22×C4—171no—
1319C22×C4—171no—
1320C22×C4—171no—
1321C22×C4—171no—
1322C22×C4—171no—
1323C22×C4—171no—
1324C22×C4—171no—
1325C22×C4—171no—
1326C22×C4—171no—
1327C22×C4—171no—
1328C22×C4—171no—
1329C22×C4—171no—
1330C22×C4—171no—
1331C22×C4—171no—
1332C22×C4C2×C4×D1711yescharacteristic
1333C22×C4C2×C4×D1711yescharacteristic
1334C22×C4C23×D1711yescharacteristic
1335M16—41no—
1336M16—41no—
1337M16—342no—
1338M16—342no—
1339M16—681no—
1340M16—681no—
1341M16—681no—
1342M16—681no—
1343M16—681no—
1344M16—681no—
1345M16—681no—
1346M16—681no—
1347C2×C8—22no—
1348C2×C8—41no—
1349C2×C8—171no—
1350C2×C8—171no—
1351C2×C8—171no—
1352C2×C8—171no—
1353C2×C8—171no—
1354C2×C8—171no—
1355C2×C8—171no—
1356C2×C8—171no—
1357C2×C8—342no—
1358C2×C8—342no—
1359C2×C8—681no—
1360C2×C8—681no—
1361C2×C8—681no—
1362C2×C8—681no—
1363C2×C8C23×D1711yescharacteristic
1364C2×C8C23×D1711yescharacteristic
1365C2×C8C23×D1711yescharacteristic
1366C2×C8C23×D1711yescharacteristic
1367C2×C8C23×D1711yescharacteristic
1368C2×C8C23×D1711yescharacteristic
1369C2×C8C23×D1711yescharacteristic
1370C2×C8C23×D1711yescharacteristic
1371C4⋊C4—171no—
1372C4⋊C4—171no—
1373C4⋊C4—171no—
1374C4⋊C4—171no—
1375C4⋊C4—171no—
1376C4⋊C4—171no—
1377C4⋊C4—171no—
1378C4⋊C4—171no—
1379C4⋊C4—171no—
1380C4⋊C4—171no—
1381C4⋊C4—171no—
1382C4⋊C4—171no—
1383C4⋊C4—171no—
1384C4⋊C4—171no—
1385C4⋊C4—171no—
1386C4⋊C4—171no—
1387C4⋊C4—171no—
1388C4⋊C4—171no—
1389C4⋊C4—171no—
1390C4⋊C4—171no—
1391C4⋊C4—171no—
1392C4⋊C4—171no—
1393C4⋊C4—171no—
1394C4⋊C4—171no—
1395C4⋊C4—171no—
1396C4⋊C4—171no—
1397C4⋊C4—171no—
1398C4⋊C4—171no—
1399C4⋊C4—171no—
1400C4⋊C4—171no—
1401C4⋊C4—171no—
1402C4⋊C4—171no—
1403C4⋊C4—171no—
1404C4⋊C4—171no—
1405C4⋊C4—171no—
1406C4⋊C4—171no—
1407C4⋊C4—171no—
1408C4⋊C4—171no—
1409C4⋊C4—171no—
1410C4⋊C4—171no—
1411C4⋊C4C2×C4×D1711yescharacteristic
1412C4⋊C4C2×C4×D1711yescharacteristic
1413C4⋊C4C2×C4×D1711yescharacteristic
1414C4⋊C4C2×C4×D1711yescharacteristic
1415C4⋊C4C2×C4×D1711yescharacteristic
1416C4⋊C4C2×C4×D1711yescharacteristic
1417C4⋊C4C2×C4×D1711yescharacteristic
1418C4⋊C4C2×C4×D1711yescharacteristic
1419C4⋊C4C2×C4×D1711yescharacteristic
1420C4⋊C4C2×C4×D1711yescharacteristic
1421C4⋊C4C2×C4×D1711yescharacteristic
1422C4⋊C4C2×C4×D1711yescharacteristic
1423C4⋊C4C2×C4×D1711yescharacteristic
1424C4⋊C4C2×C4×D1711yescharacteristic
1425C4⋊C4C2×C4×D1711yescharacteristic
1426C4⋊C4C2×C4×D1711yescharacteristic
1427C22⋊C4—171no—
1428C22⋊C4—171no—
1429C22⋊C4—171no—
1430C22⋊C4—171no—
1431C22⋊C4—171no—
1432C22⋊C4—171no—
1433C22⋊C4—171no—
1434C22⋊C4—171no—
1435C22⋊C4—171no—
1436C22⋊C4—171no—
1437C22⋊C4—171no—
1438C22⋊C4—171no—
1439C22⋊C4—171no—
1440C22⋊C4—171no—
1441C22⋊C4—171no—
1442C22⋊C4—171no—
1443C22⋊C4—171no—
1444C22⋊C4—171no—
1445C22⋊C4—171no—
1446C22⋊C4—171no—
1447C22⋊C4—171no—
1448C22⋊C4—171no—
1449C22⋊C4—171no—
1450C22⋊C4—171no—
1451C22⋊C4—171no—
1452C22⋊C4—171no—
1453C22⋊C4—171no—
1454C22⋊C4—171no—
1455C22⋊C4—171no—
1456C22⋊C4—171no—
1457C22⋊C4—171no—
1458C22⋊C4—171no—
1459C22⋊C4C2×C4×D1711yescharacteristic
1460C22⋊C4C2×C4×D1711yescharacteristic
1461C22⋊C4C2×C4×D1711yescharacteristic
1462C22⋊C4C2×C4×D1711yescharacteristic
1463C42—171no—
1464C42—171no—
1465C42—171no—
1466C42—171no—
1467C42—171no—
1468C42—171no—
1469C42—171no—
1470C42—171no—
1471C42—171no—
1472C42—171no—
1473C42—171no—
1474C42—171no—
1475C42—171no—
1476C42—171no—
1477C42—171no—
1478C42—171no—
1479C42C2×C4×D1711yescharacteristic
1480C42C2×C4×D1711yescharacteristic
1481C42C23×D1711yescharacteristic
1482C42C23×D1711yescharacteristic
1483C42C23×D1711yescharacteristic
1484C42C23×D1711yescharacteristic
1485C42C23×D1711yescharacteristic
1486C42C23×D1711yescharacteristic
1487C23—171no—
1488C23—171no—
1489C23—171no—
1490C23—171no—
1491C23C22×C4×D1711yescharacteristic
1492Q8—41no—
1493Q8—41no—
1494Q8—41no—
1495Q8—41no—
1496Q8—342no—
1497Q8—342no—
1498Q8—342no—
1499Q8—681no—
1500Q8—681no—
1501Q8—681no—
1502D4—342no—
1503D4—681no—
1504D4—681no—
1505D4—681no—
1506D4—681no—
1507D4—681no—
1508D4—681no—
1509D4—681no—
1510D4—681no—
1511D4—681no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—171no—
1517C2×C4—171no—
1518C2×C4—171no—
1519C2×C4—171no—
1520C2×C4—171no—
1521C2×C4—171no—
1522C2×C4—171no—
1523C2×C4—171no—
1524C2×C4—171no—
1525C2×C4—171no—
1526C2×C4—171no—
1527C2×C4—171no—
1528C2×C4—342no—
1529C2×C4—342no—
1530C2×C4—342no—
1531C2×C4—341no—
1532C2×C4—341no—
1533C2×C4—341no—
1534C2×C4—341no—
1535C2×C4—341no—
1536C2×C4—341no—
1537C2×C4—341no—
1538C2×C4—341no—
1539C2×C4—681no—
1540C2×C4—681no—
1541C2×C4—681no—
1542C2×C4—681no—
1543C2×C4—681no—
1544C2×C4—681no—
1545C2×C4—681no—
1546C2×C4—681no—
1547C2×C4—681no—
1548C2×C4C22×C4×D1711yescharacteristic
1549C2×C4C22×C4×D1711yescharacteristic
1550C2×C4C22×C4×D1711yescharacteristic
1551C2×C4C22×C4×D1711yescharacteristic
1552C2×C4C22×C4×D1711yescharacteristic
1553C2×C4C22×C4×D1711yescharacteristic
1554C2×C4C22×C4×D1711yescharacteristic
1555C2×C4C22×C4×D1711yescharacteristic
1556C2×C4C22×C4×D1711yescharacteristic
1557C2×C4C22×C4×D1711yescharacteristic
1558C2×C4C22×C4×D1711yescharacteristic
1559C2×C4C22×C4×D1711yescharacteristic
1560C2×C4C22×C4×D1711yescharacteristic
1561C2×C4C24×D1711yescharacteristic
1562C8—21no—
1563C8—21no—
1564C8—21no—
1565C8—21no—
1566C8—21no—
1567C8—21no—
1568C8—21no—
1569C8—341no—
1570C8—341no—
1571C8—341no—
1572C8—341no—
1573C8—341no—
1574C8—341no—
1575C8—341no—
1576C8—341no—
1577C8#1058769412yes—
1578C22—21no—
1579C22—21no—
1580C22—21no—
1581C22—341no—
1582C22—341no—
1583C22—341no—
1584C22—341no—
1585C22—341no—
1586C22—341no—
1587C22—341no—
1588C22—341no—
1589C22—341no—
1590C22—341no—
1591C22—341no—
1592C22—341no—
1593C22C23×C4×D1711yescharacteristic
1594C4—21no—
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—21no—
1606C4—21no—
1607C4—172no—
1608C4—341no—
1609C4—341no—
1610C4—341no—
1611C4—341no—
1612C4—341no—
1613C4—341no—
1614C4—341no—
1615C4—341no—
1616C4—341no—
1617C4—341no—
1618C4—341no—
1619C4C2×#1058769411yescharacteristic
1620C4#1176364511yescharacteristic
1621C2—41no—
1622C2—681no—
1623C2—681no—
1624C2—681no—
1625C2—681no—
1626C2C4×#1058769411yescharacteristic
1627C2D17×#56811yescharacteristic
1628C2#1454349711yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D17
commutator, socleC22×C17C24×C4
FittingC17×#2961C2
prime radical#11763389C4
cosocleC2×C4×C17C25
hypercenter#2961D17
hypocenterC17#60344
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ #2961

Complements

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

NH ≅ G/Ntype
2. #14537953C2semidirect
3. #14537953C2semidirect
4. #14537952C2semidirect
5. #14537951C2semidirect
6. #14537942C2semidirect
7. #14537936C2semidirect
8. #14537931C2semidirect
9. #14537931C2semidirect
10. #14537914C2semidirect
11. #14537900C2semidirect
12. #14537882C2semidirect
13. #14537879C2semidirect
14. #14537877C2semidirect
15. #14537877C2semidirect
16. #14537870C2semidirect
17. #14537795C2semidirect
18. #14537790C2semidirect
19. #14537784C2semidirect
20. #14537784C2semidirect
21. #14537778C2semidirect
22. #14537777C2semidirect
23. #14537768C2semidirect
24. #14537765C2semidirect
25. #14537755C2semidirect
26. #14537749C2semidirect
27. #14537736C2semidirect
28. #14537729C2semidirect
29. #14537720C2semidirect
30. #14537715C2semidirect
31. C17×#2961C2semidirect
793. #2961D17semidirect
1292. C17#60344semidirect

Maximal subgroups

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

subgroupindex
#145422152
#145379532
#145379522
#145379512
#145379422
#145379362
#145379312
#145379142
#145379002
#145378822
#145378792
#145378772
#145378702
#145377952
#145377902
#145377842
#145377782
#145377772
#145377682
#145377652
#145377552
#145377492
#145377362
#145377292
#145377202
#145377152
C17×#29612
#6034417