Finite Group Databasebeta

← #17243186

Subgroups — #17243186

Order 4352.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537076C211yesmaximal, characteristic, complemented
2#14537071C211yesmaximal, characteristic, complemented
3#14536626C211yesmaximal, characteristic, complemented
4#14536171C211yesmaximal, characteristic, complemented
5#14536115C211yesmaximal, characteristic, complemented
6#14536037C211yesmaximal, characteristic, complemented
7#14535843C211yesmaximal, characteristic, complemented
8#14535782C211yesmaximal, characteristic, complemented
9#14535706C211yesmaximal, characteristic, complemented
10#14535590C211yesmaximal, characteristic, complemented
11#14535551C211yesmaximal, characteristic, complemented
12#14535526C211yesmaximal, characteristic, complemented
13#14535461C211yesmaximal, characteristic, complemented
14#14535400C211yesmaximal, characteristic, complemented
15#14535386C211yesmaximal, characteristic, complemented
16#14535260C211yesmaximal, characteristic, complemented
17#14535185C211yesmaximal, characteristic, complemented
18#14535039C211yesmaximal, characteristic, complemented
19#14534589C211yesmaximal, characteristic, complemented
20#14534557C211yesmaximal, characteristic, complemented
21#14533964C211yesmaximal, characteristic, complemented
22#14533795C211yesmaximal, characteristic, complemented
23#14533024C211yesmaximal, characteristic, complemented
24#14533024C211yesmaximal, characteristic, complemented
25#14532904C211yesmaximal, characteristic, complemented
26#14532904C211yesmaximal, characteristic, complemented
27#14532431C211yesmaximal, characteristic, complemented
28#14532134C211yesmaximal, characteristic
29#14531517C211yesmaximal, characteristic, complemented
30#14531418C211yesmaximal, characteristic, complemented
31C2×C17×#386C211yesmaximal, characteristic, complemented
32C2×#10587565C2211yescharacteristic, complemented
33C2×#10587565C2211yescharacteristic, complemented
34C2×#10587622C2211yescharacteristic
35C2×#10587622C2211yescharacteristic
36C2×#10587571C2211yescharacteristic, complemented
37C2×#10587571C2211yescharacteristic, complemented
38C2×#10587615C2211yescharacteristic, complemented
39C2×#10587615C2211yescharacteristic, complemented
40C2×#10587610C2211yescharacteristic
41C2×#10587610C2211yescharacteristic
42C2×#10587610C2211yescharacteristic
43C2×#10587610C2211yescharacteristic, complemented
44C2×#10587610C2211yescharacteristic, complemented
45C2×#10587624C2211yescharacteristic
46C2×#10587624C2211yescharacteristic
47C2×#10587639C2211yescharacteristic
48C2×#10587639C2211yescharacteristic
49C2×C4×C22⋊D17C2211yescharacteristic
50#11762749C2211yescharacteristic, complemented
51#11762746C2211yescharacteristic, complemented
52#11762745C2211yescharacteristic, complemented
53#11762745C2211yescharacteristic, complemented
54#11762743C2211yescharacteristic, complemented
55#11762743C2211yescharacteristic, complemented
56#11762737C2211yescharacteristic, complemented
57#11762737C2211yescharacteristic, complemented
58#11762737C2211yescharacteristic, complemented
59#11762737C2211yescharacteristic, complemented
60#11762737C2211yescharacteristic, complemented
61#11762737C2211yescharacteristic, complemented
62#11762737C2211yescharacteristic, complemented
63#11762737C2211yescharacteristic, complemented
64#11762737C2211yescharacteristic, complemented
65#11762737C2211yescharacteristic, complemented
66#11762734C2211yescharacteristic, complemented
67#11762734C2211yescharacteristic, complemented
68#11762732C2211yescharacteristic, complemented
69#11762732C2211yescharacteristic, complemented
70#11762732C2211yescharacteristic, complemented
71#11762732C2211yescharacteristic, complemented
72#11762732C2211yescharacteristic, complemented
73#11762732C2211yescharacteristic, complemented
74#11762730C2211yescharacteristic, complemented
75#11762730C2211yescharacteristic, complemented
76#11762730C2211yescharacteristic, complemented
77#11762725C2211yescharacteristic, complemented
78#11762725C2211yescharacteristic, complemented
79#11762724C2211yescharacteristic, complemented
80#11762724C2211yescharacteristic, complemented
81#11762724C2211yescharacteristic, complemented
82#11762724C2211yescharacteristic, complemented
83#11762724C2211yescharacteristic, complemented
84#11762724C2211yescharacteristic, complemented
85#11762723C2211yescharacteristic
86#11762723C2211yescharacteristic
87#11762723C2211yescharacteristic
88#11762723C2211yescharacteristic
89#11762723C2211yescharacteristic
90#11762723C2211yescharacteristic
91#11762722C2211yescharacteristic, complemented
92#11762721C2211yescharacteristic, complemented
93#11762721C2211yescharacteristic, complemented
94#11762721C2211yescharacteristic, complemented
95#11762721C2211yescharacteristic, complemented
96#11762717C2211yescharacteristic
97#11762717C2211yescharacteristic
98#11762713C2211yescharacteristic, complemented
99#11762713C2211yescharacteristic, complemented
100#11762713C2211yescharacteristic, complemented
101#11762713C2211yescharacteristic, complemented
102#11762712C2211yescharacteristic
103#11762712C2211yescharacteristic
104#11762712C2211yescharacteristic
105#11762712C2211yescharacteristic
106#11762709C2211yescharacteristic, complemented
107#11762709C2211yescharacteristic, complemented
108#11762706C2211yescharacteristic, complemented
109#11762706C2211yescharacteristic, complemented
110#11762706C2211yescharacteristic, complemented
111#11762706C2211yescharacteristic, complemented
112#11762703C2211yescharacteristic, complemented
113#11762703C2211yescharacteristic, complemented
114#11762702C2211yescharacteristic, complemented
115#11762702C2211yescharacteristic, complemented
116#11762702C2211yescharacteristic, complemented
117#11762702C2211yescharacteristic, complemented
118#11762698C2211yescharacteristic, complemented
119#11762698C2211yescharacteristic, complemented
120#11762697C2211yescharacteristic, complemented
121#11762697C2211yescharacteristic, complemented
122#11762697C2211yescharacteristic, complemented
123#11762697C2211yescharacteristic, complemented
124#11762696C2211yescharacteristic, complemented
125#11762696C2211yescharacteristic, complemented
126#11762694C2211yescharacteristic, complemented
127#11762694C2211yescharacteristic, complemented
128#11762692C2211yescharacteristic, complemented
129#11762692C2211yescharacteristic, complemented
130#11762691C2211yescharacteristic, complemented
131#11762691C2211yescharacteristic, complemented
132#11762688C2211yescharacteristic
133#11762688C2211yescharacteristic
134#11762688C2211yescharacteristic
135#11762688C2211yescharacteristic
136#11762688C2211yescharacteristic, complemented
137#11762688C2211yescharacteristic, complemented
138#11762683C2211yescharacteristic, complemented
139#11762683C2211yescharacteristic, complemented
140#11762682C2211yescharacteristic
141#11762682C2211yescharacteristic
142#11762682C2211yescharacteristic
143#11762682C2211yescharacteristic
144#11762682C2211yescharacteristic
145#11762682C2211yescharacteristic
146#11762682C2211yescharacteristic, complemented
147#11762682C2211yescharacteristic, complemented
148#11762682C2211yescharacteristic, complemented
149#11762682C2211yescharacteristic, complemented
150#11762682C2211yescharacteristic, complemented
151#11762682C2211yescharacteristic, complemented
152#11762676C2211yescharacteristic, complemented
153#11762673C2211yescharacteristic, complemented
154#11762672C2211yescharacteristic, complemented
155#11762672C2211yescharacteristic, complemented
156#11762671C2211yescharacteristic, complemented
157#11762669C2211yescharacteristic
158#11762669C2211yescharacteristic
159#11762669C2211yescharacteristic
160#11762669C2211yescharacteristic, complemented
161#11762669C2211yescharacteristic, complemented
162#11762668C2211yescharacteristic, complemented
163#11762665C2211yescharacteristic
164#11762665C2211yescharacteristic
165#11762665C2211yescharacteristic
166#11762665C2211yescharacteristic
167#11762665C2211yescharacteristic
168#11762665C2211yescharacteristic
169C4×C22⋊Dic17C2211yescharacteristic
170C4×C22⋊Dic17C2211yescharacteristic
171C4×C22⋊Dic17C2211yescharacteristic
172C23×D4×C17C2211yescharacteristic
173C24×C4×C17C2211yescharacteristic
174C22×C22⋊C4×C17C2211yescharacteristic
175C22×C22⋊C4×C17C2211yescharacteristic
176C22×C22⋊C4×C17C2211yescharacteristic
177C17×#386C2211yescharacteristic
178C17×#386C2211yescharacteristic
179C17×#386C2211yescharacteristic
180C17×#386C2211yescharacteristic
181C17×#386C2211yescharacteristic
182C17×#386C2211yescharacteristic
183C17×#386C2211yescharacteristic
184C17×#386C2211yescharacteristic
185C2×C17×#95C2211yescharacteristic
186C2×C17×#95C2211yescharacteristic
187C25×C17C2311yescharacteristic
188C25×C17C2311yescharacteristic
189C22×D4×C17—24no—
190C22×D4×C17—42no—
191C22×D4×C17—42no—
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C23×C4×C17—42no—
197C23×C4×C17—42no—
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
206C23×C4×C17C2311yescharacteristic
207C23×C4×C17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C22×C22⋊D17C2311yescharacteristic
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic
212C22×C22⋊D17C2311yescharacteristic
213C22×C4×D17C2311yescharacteristic
214C22×Dic34C2311yescharacteristic
215C22×Dic34C2311yescharacteristic
216C22×Dic34C2311yescharacteristic
217C2×C22⋊C4×C17—42no—
218C2×C22⋊C4×C17—42no—
219C2×C22⋊C4×C17—42no—
220C2×C22⋊C4×C17C2311yescharacteristic
221C2×C22⋊C4×C17C2311yescharacteristic
222C2×C22⋊C4×C17C2311yescharacteristic
223C2×C22⋊C4×C17C2311yescharacteristic
224C2×C22⋊C4×C17C2311yescharacteristic
225C2×C22⋊C4×C17C2311yescharacteristic
226C2×C22⋊C4×C17C2311yescharacteristic
227C2×C22⋊C4×C17C2311yescharacteristic
228C2×C22⋊C4×C17C2311yescharacteristic
229C2×C22⋊C4×C17C2311yescharacteristic
230C2×C22⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232#10587639—42no—
233#10587639—42no—
234C2×C22⋊Dic17C2311yescharacteristic
235C2×C22⋊Dic17C2311yescharacteristic
236C2×C22⋊Dic17C2311yescharacteristic
237C2×C22⋊Dic17C2311yescharacteristic
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
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263C2×C22⋊Dic17C2311yescharacteristic
264C2×C22⋊Dic17C2311yescharacteristic
265C2×C22⋊Dic17C2311yescharacteristic
266C2×C22⋊Dic17C2311yescharacteristic
267C2×C22⋊Dic17C2311yescharacteristic
268C2×C22⋊Dic17C2311yescharacteristic
269#10587624—42no—
270#10587624—42no—
271#10587622—42no—
272#10587622—42no—
273#10587615—42no—
274#10587615—42no—
275C4×C22⋊D17—24no—
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×C4⋊Dic17C2311yescharacteristic
286C2×C4⋊Dic17C2311yescharacteristic
287C2×C4⋊Dic17C2311yescharacteristic
288C2×C4⋊Dic17C2311yescharacteristic
289C2×C4⋊Dic17C2311yescharacteristic
290C2×C4⋊Dic17C2311yescharacteristic
291C2×C4⋊Dic17C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
293C2×C4⋊Dic17C2311yescharacteristic
294#10587610—24no—
295#10587610—42no—
296#10587610—42no—
297#10587610—42no—
298#10587610—42no—
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×#63225C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×#63225C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320C2×C4×Dic17C2311yescharacteristic
321C2×C4×Dic17C2311yescharacteristic
322C2×C4×Dic17C2311yescharacteristic
323C2×C4×Dic17C2311yescharacteristic
324C2×C4×Dic17C2311yescharacteristic
325#10587571—42no—
326#10587571—42no—
327#10587565—42no—
328#10587565—42no—
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
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369C24×C17—22no—
370C24×C17—22no—
371C24×C17—22no—
372C24×C17—22no—
373C24×C17—22no—
374C24×C17—22no—
375C24×C17—22no—
376C24×C17—22no—
377C24×C17—41no—
378C24×C17—41no—
379C24×C17—41no—
380C24×C17—41no—
381C24×C17—41no—
382C24×C17—41no—
383C24×C17C2411yescharacteristic
384C24×C17C2411yescharacteristic
385C24×C17C2411yescharacteristic
386C24×C17C2411yescharacteristic
387C24×C17C2411yescharacteristic
388C23×D17C2411yescharacteristic
389C2×D4×C17—22no—
390C2×D4×C17—22no—
391C2×D4×C17—22no—
392C2×D4×C17—22no—
393C2×D4×C17—22no—
394C2×D4×C17—22no—
395C2×D4×C17—22no—
396C2×D4×C17—22no—
397C2×D4×C17—41no—
398C2×D4×C17—41no—
399C2×D4×C17—41no—
400C2×D4×C17—41no—
401C2×D4×C17—416no—
402C22×C4×C17—22no—
403C22×C4×C17—22no—
404C22×C4×C17—22no—
405C22×C4×C17—22no—
406C22×C4×C17—22no—
407C22×C4×C17—22no—
408C22×C4×C17—22no—
409C22×C4×C17—22no—
410C22×C4×C17—22no—
411C22×C4×C17—41no—
412C22×C4×C17—41no—
413C22×C4×C17—41no—
414C22×C4×C17—41no—
415C22×C4×C17—41no—
416C22×C4×C17—41no—
417C22×C4×C17—41no—
418C22×C4×C17—41no—
419C22×C4×C17—41no—
420C22×C4×C17—41no—
421C22×C4×C17—41no—
422C22×C4×C17—41no—
423C22×C4×C17—41no—
424C22×C4×C17—41no—
425C22×C4×C17—41no—
426C22×C4×C17—41no—
427C22×C4×C17—41no—
428C22×C4×C17—416no—
429C22×C4×C17#4114yes—
430C22×C4×C17C2411yescharacteristic
431C22×C4×C17C2411yescharacteristic
432C22×C4×C17C2411yescharacteristic
433C22×C4×C17C2411yescharacteristic
434C22×C4×C17C2411yescharacteristic
435C22×C4×C17C2411yescharacteristic
436C22×C4×C17C2411yescharacteristic
437C22×C4×C17C2411yescharacteristic
438C22×C4×C17C2411yescharacteristic
439C22×C4×C17C2411yescharacteristic
440C2×C22⋊D17—22no—
441C2×C22⋊D17—22no—
442C2×C22⋊D17—22no—
443C2×C22⋊D17—22no—
444C2×C22⋊D17—22no—
445C2×C22⋊D17—41no—
446C2×C22⋊D17—41no—
447C2×C22⋊D17—41no—
448C2×C22⋊D17—41no—
449C2×C22⋊D17—41no—
450C2×C22⋊D17—41no—
451C2×C22⋊D17—41no—
452C2×C22⋊D17—41no—
453C2×C22⋊D17—41no—
454C2×C22⋊D17—41no—
455C22×Dic17C2411yescharacteristic
456C22×Dic17C2411yescharacteristic
457C22×Dic17C2411yescharacteristic
458C22×Dic17C2411yescharacteristic
459C22×Dic17C2411yescharacteristic
460C22×Dic17C2411yescharacteristic
461C22×Dic17C2411yescharacteristic
462C22×Dic17C2411yescharacteristic
463C22×Dic17C2411yescharacteristic
464C22×Dic17C2411yescharacteristic
465C22×Dic17C2411yescharacteristic
466C22×Dic17C2411yescharacteristic
467C22×Dic17C2411yescharacteristic
468C22×Dic17C2411yescharacteristic
469C22×Dic17C2411yescharacteristic
470C2×C4×D17—22no—
471C2×C4×D17—41no—
472C2×C4×D17—41no—
473C2×Dic34—22no—
474C2×Dic34—22no—
475C2×Dic34—41no—
476C2×Dic34—41no—
477C2×Dic34—41no—
478C2×Dic34—41no—
479C2×Dic34—41no—
480C2×Dic34—41no—
481C2×Dic34—41no—
482C22⋊C4×C17—22no—
483C22⋊C4×C17—22no—
484C22⋊C4×C17—22no—
485C22⋊C4×C17—22no—
486C22⋊C4×C17—41no—
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⋊Dic17—22no—
495C22⋊Dic17—22no—
496C22⋊Dic17—22no—
497C22⋊Dic17—22no—
498C22⋊Dic17—22no—
499C22⋊Dic17—22no—
500C22⋊Dic17—22no—
501C22⋊Dic17—22no—
502C22⋊Dic17—22no—
503C22⋊Dic17—22no—
504C22⋊Dic17—22no—
505C22⋊Dic17—22no—
506C22⋊Dic17—22no—
507C22⋊Dic17—41no—
508C22⋊Dic17—41no—
509C22⋊Dic17—41no—
510C22⋊Dic17—41no—
511C22⋊Dic17—41no—
512C22⋊Dic17—41no—
513C22⋊Dic17—41no—
514C22⋊Dic17—41no—
515C22⋊Dic17—41no—
516C22⋊Dic17—41no—
517C22⋊Dic17—41no—
518C22⋊Dic17—41no—
519C22⋊Dic17—41no—
520C22⋊Dic17—41no—
521C22⋊Dic17—41no—
522C22⋊Dic17—41no—
523C22⋊Dic17—41no—
524C22⋊Dic17—41no—
525C22⋊Dic17—41no—
526C22⋊Dic17—41no—
527C22⋊Dic17—41no—
528C22⋊Dic17—41no—
529#63227—22no—
530#63227—22no—
531#63227—41no—
532#63227—41no—
533#63227—41no—
534#63227—41no—
535#63227—41no—
536#63227—41no—
537#63227—41no—
538C4⋊Dic17—22no—
539C4⋊Dic17—22no—
540C4⋊Dic17—41no—
541C4⋊Dic17—41no—
542C4⋊Dic17—41no—
543C4⋊Dic17—41no—
544C4⋊Dic17—41no—
545C4⋊Dic17—41no—
546C4⋊Dic17—41no—
547#63225—22no—
548#63225—22no—
549#63225—22no—
550#63225—22no—
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—22no—
567C4×Dic17—41no—
568C4×Dic17—41no—
569C4×Dic17—41no—
570C4×Dic17—41no—
571C4×Dic17—41no—
572C4×Dic17—41no—
573#36793—171nomaximal, Sylow
574C23×C17—21no—
575C23×C17—21no—
576C23×C17—21no—
577C23×C17—21no—
578C23×C17—28no—
579C23×C17—21no—
580C23×C17—21no—
581C23×C17—21no—
582C23×C17—21no—
583C23×C17—21no—
584C23×C17—21no—
585C23×C17—21no—
586C23×C17—21no—
587C23×C17—21no—
588C23×C17—21no—
589C23×C17—21no—
590C23×C17—21no—
591C23×C17—21no—
592C23×C17—21no—
593C23×C17—21no—
594C23×C17—21no—
595C23×C17—21no—
596C23×C17—21no—
597C23×C17—21no—
598C23×C17—21no—
599C23×C17—21no—
600C23×C17—21no—
601C23×C17—21no—
602C23×C17—21no—
603C23×C17—21no—
604C23×C17—21no—
605C23×C17—44no—
606C23×C17—44no—
607C23×C17—44no—
608C23×C17—44no—
609C23×C17—44no—
610C23×C17—44no—
611C23×C17—44no—
612C23×C17—44no—
613C23×C17—44no—
614C23×C17—82no—
615C23×C17—82no—
616C23×C17—82no—
617C23×C17—82no—
618C23×C17C2×#4112yes—
619C23×C17H(5,𝔽2)12yes—
620C23×C17H(5,𝔽2)12yes—
621C23×C17H(5,𝔽2)12yes—
622C23×C172−1+412yes—
623C23×C17C2511yescharacteristic
624C22×D17—21no—
625C22×D17—21no—
626C22×D17—21no—
627C22×D17—21no—
628C22×D17—21no—
629C22×D17—21no—
630C22×D17—21no—
631D4×C17—44no—
632D4×C17—44no—
633D4×C17—44no—
634D4×C17—44no—
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—21no—
661C2×C4×C17—21no—
662C2×C4×C17—44no—
663C2×C4×C17—44no—
664C2×C4×C17—44no—
665C2×C4×C17—44no—
666C2×C4×C17—44no—
667C2×C4×C17—44no—
668C2×C4×C17—44no—
669C2×C4×C17—82no—
670C2×C4×C17—82no—
671C2×C4×C17C2×#4112yes—
672C2×C4×C17C2×#4112yes—
673C2×C4×C17H(5,𝔽2)12yes—
674C22⋊D17—44no—
675C22⋊D17—82no—
676C22⋊D17—82no—
677C22⋊D17—82no—
678C22⋊D17—82no—
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—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—21no—
710C2×Dic17—21no—
711C2×Dic17—21no—
712C2×Dic17—21no—
713C2×Dic17—21no—
714C2×Dic17—21no—
715C2×Dic17—21no—
716C2×Dic17—21no—
717C2×Dic17—21no—
718C2×Dic17—21no—
719C2×Dic17—21no—
720C2×Dic17—21no—
721C2×Dic17—21no—
722C2×Dic17—21no—
723C2×Dic17—21no—
724C4×D17—82no—
725Dic34—82no—
726Dic34—82no—
727Dic34—82no—
728#2849—171no—
729#2848—171no—
730#2796—171no—
731#2761—171no—
732#2757—171no—
733#2751—171no—
734#2737—171no—
735#2730—171no—
736#2723—171no—
737#2715—171no—
738#2712—171no—
739#2710—171no—
740#2705—171no—
741#2701—171no—
742#2700—171no—
743#2691—171no—
744#2686—171no—
745#2672—171no—
746#2626—171no—
747#2622—171no—
748#2564—171no—
749#2549—171no—
750#2480—171no—
751#2480—171no—
752#2472—171no—
753#2472—171no—
754#2435—171no—
755#2408—171no—
756#2329—171no—
757#2318—171no—
758C2×#386D1711yescharacteristic, complemented
759C22×C17—22no—
760C22×C17—22no—
761C22×C17—22no—
762C22×C17—22no—
763C22×C17—22no—
764C22×C17—22no—
765C22×C17—22no—
766C22×C17—22no—
767C22×C17—22no—
768C22×C17—22no—
769C22×C17—22no—
770C22×C17—22no—
771C22×C17—416no—
772C22×C17—41no—
773C22×C17—41no—
774C22×C17—41no—
775C22×C17—41no—
776C22×C17—41no—
777C22×C17—41no—
778C22×C17—41no—
779C22×C17—41no—
780C22×C17—41no—
781C22×C17—41no—
782C22×C17—41no—
783C22×C17—41no—
784C22×C17—41no—
785C22×C17—41no—
786C22×C17—41no—
787C22×C17—41no—
788C22×C17—41no—
789C22×C17—41no—
790C22×C17—41no—
791C22×C17—41no—
792C22×C17—41no—
793C22×C17—41no—
794C22×C17—88no—
795C22×C17#54214yes—
796C22×C17C22×#4111yescharacteristic
797C22×C17C2×H(5,𝔽2)11yescharacteristic
798C22×C17C2×H(5,𝔽2)11yescharacteristic
799C22×C17C2×H(5,𝔽2)11yescharacteristic
800C22×C17C2×H(5,𝔽2)11yescharacteristic
801C22×C17C2×2−1+411yescharacteristic
802C22×C17#58511yescharacteristic
803C2×D17—41no—
804C2×D17—41no—
805C2×D17—41no—
806C2×D17—41no—
807C2×D17—41no—
808C2×D17—41no—
809C2×D17—41no—
810C4×C17—22no—
811C4×C17—22no—
812C4×C17—22no—
813C4×C17—41no—
814C4×C17—41no—
815C4×C17—41no—
816C4×C17—41no—
817C4×C17—41no—
818C4×C17—41no—
819C4×C17—41no—
820Dic17—41no—
821Dic17—41no—
822Dic17—41no—
823Dic17—41no—
824Dic17—41no—
825Dic17—41no—
826Dic17—41no—
827Dic17—41no—
828Dic17—41no—
829Dic17—41no—
830Dic17—41no—
831Dic17—41no—
832Dic17—41no—
833Dic17—41no—
834Dic17—41no—
835C23×D4C2×D1711yescharacteristic
836C24×C4C2×D1711yescharacteristic
837C2×#126—171no—
838C2×#126—171no—
839C2×#124—171no—
840C2×#124—171no—
841C2×#124—171no—
842C2×#124—171no—
843C2×#123—171no—
844C2×#123—171no—
845C2×C22⋊Q8—171no—
846C2×C22⋊Q8—171no—
847C2×C22⋊Q8—171no—
848C2×C22⋊Q8—171no—
849C2×C22⋊Q8—171no—
850C2×#121—171no—
851C2×#121—171no—
852C2×#120—171no—
853C2×#120—171no—
854C2×C4×D4—171no—
855C22×C22⋊C4C2×D1711yescharacteristic
856C22×C22⋊C4C2×D1711yescharacteristic
857C22×C22⋊C4C2×D1711yescharacteristic
858#400—171no—
859#399—171no—
860#399—171no—
861#399—171no—
862#398—171no—
863#398—171no—
864#397—171no—
865#397—171no—
866#397—171no—
867#397—171no—
868#397—171no—
869#397—171no—
870#397—171no—
871#397—171no—
872#397—171no—
873#397—171no—
874#397—171no—
875#397—171no—
876#396—171no—
877#396—171no—
878#396—171no—
879#396—171no—
880#396—171no—
881#396—171no—
882#395—171no—
883#395—171no—
884#395—171no—
885#394—171no—
886#394—171no—
887#394—171no—
888#394—171no—
889#394—171no—
890#394—171no—
891#394—171no—
892#394—171no—
893#394—171no—
894#394—171no—
895#394—171no—
896#394—171no—
897#394—171no—
898#394—171no—
899#393—171no—
900#393—171no—
901#393—171no—
902#393—171no—
903#393—171no—
904#392—171no—
905#392—171no—
906#391—171no—
907#391—171no—
908#391—171no—
909#391—171no—
910#390—171no—
911#390—171no—
912#390—171no—
913#390—171no—
914#390—171no—
915#390—171no—
916#389—171no—
917#389—171no—
918#389—171no—
919#389—171no—
920#388—171no—
921#388—171no—
922#388—171no—
923#388—171no—
924#388—171no—
925#388—171no—
926#388—171no—
927#388—171no—
928#388—171no—
929#388—171no—
930#388—171no—
931#388—171no—
932#387—171no—
933#387—171no—
934#387—171no—
935#387—171no—
936#387—171no—
937#387—171no—
938#387—171no—
939#387—171no—
940#386—171no—
941#386—171no—
942#386—171no—
943#386—171no—
944#386—171no—
945#386—171no—
946#386C2×D1711yescharacteristic
947#386C2×D1711yescharacteristic
948#386C2×D1711yescharacteristic
949#386C2×D1711yescharacteristic
950#386C2×D1711yescharacteristic
951#386C2×D1711yescharacteristic
952#386C2×D1711yescharacteristic
953#386C2×D1711yescharacteristic
954#385—171no—
955#385—171no—
956#385—171no—
957#385—171no—
958#385—171no—
959#385—171no—
960#385—171no—
961#385—171no—
962#385—171no—
963#385—171no—
964#385—171no—
965#385—171no—
966#385—171no—
967#385—171no—
968#383—171no—
969#382—171no—
970#381—171no—
971#381—171no—
972#381—171no—
973#380—171no—
974#380—171no—
975#380—171no—
976#380—171no—
977#380—171no—
978#380—171no—
979#379—171no—
980#379—171no—
981#379—171no—
982#379—171no—
983#379—171no—
984#379—171no—
985C4×C22⋊C4—171no—
986C4×C22⋊C4—171no—
987C4×C22⋊C4—171no—
988C2×#95C2×D1711yescharacteristic
989C2×#95C2×D1711yescharacteristic
990C2×C17—24no—
991C2×C17—42no—
992C2×C17—42no—
993C2×C17—81no—
994C2×C17—81no—
995C2×C17C2×#54211yescharacteristic
996C2×C17#349011yescharacteristic
997C2×C17#350611yescharacteristic
998C2×C17#353211yescharacteristic
999C2×C17#353411yescharacteristic
1000C2×C17#353511yescharacteristic
1001C2×C17#353611yescharacteristic
1002D17—81no—
1003C25C22×D1711yescharacteristic
1004C25C22×D1711yescharacteristic
1005C22×Q8—171no—
1006C22×Q8—171no—
1007C22×Q8—171no—
1008C22×D4—24no—
1009C22×D4—42no—
1010C22×D4—42no—
1011C22×D4—171no—
1012C22×D4—171no—
1013C22×D4—171no—
1014C22×D4—171no—
1015C22×D4—171no—
1016C22×D4C22×D1711yescharacteristic
1017C22×D4C22×D1711yescharacteristic
1018C22×D4C22×D1711yescharacteristic
1019C22×D4C22×D1711yescharacteristic
1020C23×C4—42no—
1021C23×C4—42no—
1022C23×C4—42no—
1023C23×C4—171no—
1024C23×C4C22×D1711yescharacteristic
1025C23×C4C22×D1711yescharacteristic
1026C23×C4C22×D1711yescharacteristic
1027C23×C4C22×D1711yescharacteristic
1028C23×C4C22×D1711yescharacteristic
1029C23×C4C22×D1711yescharacteristic
1030C23×C4C22×D1711yescharacteristic
1031C23×C4C22×D1711yescharacteristic
1032C23×C4C22×D1711yescharacteristic
1033#126—682no—
1034#126—682no—
1035#124—682no—
1036#124—682no—
1037#124—682no—
1038#124—682no—
1039#123—682no—
1040#123—682no—
1041C22⋊Q8—344no—
1042C22⋊Q8—682no—
1043C22⋊Q8—682no—
1044C22⋊Q8—682no—
1045C22⋊Q8—682no—
1046#121—682no—
1047#121—682no—
1048#120—682no—
1049#120—682no—
1050C4×D4—344no—
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⋊C4—171no—
1062C2×C4⋊C4—171no—
1063C2×C4⋊C4—171no—
1064C2×C4⋊C4—171no—
1065C2×C4⋊C4—171no—
1066C2×C4⋊C4—171no—
1067C2×C4⋊C4—171no—
1068C2×C4⋊C4—171no—
1069C2×C4⋊C4—171no—
1070C2×C4⋊C4—171no—
1071C2×C4⋊C4—171no—
1072C2×C4⋊C4—171no—
1073C2×C4⋊C4—171no—
1074C2×C4⋊C4—171no—
1075C2×C4⋊C4—171no—
1076C2×C4⋊C4—171no—
1077C2×C4⋊C4—171no—
1078C2×C4⋊C4—171no—
1079C2×C22⋊C4—42no—
1080C2×C22⋊C4—42no—
1081C2×C22⋊C4—42no—
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—171no—
1109C2×C22⋊C4—171no—
1110C2×C22⋊C4—171no—
1111C2×C22⋊C4—171no—
1112C2×C22⋊C4—171no—
1113C2×C22⋊C4—171no—
1114C2×C22⋊C4—171no—
1115C2×C22⋊C4—171no—
1116C2×C22⋊C4—171no—
1117C2×C22⋊C4—171no—
1118C2×C22⋊C4—171no—
1119C2×C22⋊C4—171no—
1120C2×C22⋊C4—171no—
1121C2×C22⋊C4—171no—
1122C2×C22⋊C4—171no—
1123C2×C22⋊C4—171no—
1124C2×C22⋊C4—171no—
1125C2×C22⋊C4—171no—
1126C2×C22⋊C4C22×D1711yescharacteristic
1127C2×C22⋊C4C22×D1711yescharacteristic
1128C2×C22⋊C4C22×D1711yescharacteristic
1129C2×C22⋊C4C22×D1711yescharacteristic
1130C2×C22⋊C4C22×D1711yescharacteristic
1131C2×C22⋊C4C22×D1711yescharacteristic
1132C2×C22⋊C4C22×D1711yescharacteristic
1133C2×C22⋊C4C22×D1711yescharacteristic
1134C2×C22⋊C4C22×D1711yescharacteristic
1135C2×C22⋊C4C22×D1711yescharacteristic
1136C2×C22⋊C4C22×D1711yescharacteristic
1137C2×C22⋊C4C22×D1711yescharacteristic
1138C2×C42—171no—
1139C2×C42—171no—
1140C2×C42—171no—
1141C2×C42—171no—
1142C2×C42—171no—
1143C2×C42—171no—
1144C2×C42—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#95—171no—
1158#95—171no—
1159#95—171no—
1160#95—171no—
1161#95—171no—
1162#95—171no—
1163#95—171no—
1164#95—171no—
1165#95—171no—
1166#95—171no—
1167#95—171no—
1168#95—171no—
1169#95—171no—
1170#95—171no—
1171#95—171no—
1172#95—171no—
1173#95—171no—
1174#95—171no—
1175#95—171no—
1176#95—171no—
1177#95C22×D1711yescharacteristic
1178#95C22×D1711yescharacteristic
1179#95C22×D1711yescharacteristic
1180#95C22×D1711yescharacteristic
1181#95C22×D1711yescharacteristic
1182#95C22×D1711yescharacteristic
1183#95C22×D1711yescharacteristic
1184#95C22×D1711yescharacteristic
1185C17#3679311yescharacteristic, complemented, Sylow
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—41no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—171no—
1201C24C23×D1711yescharacteristic
1202C24C23×D1711yescharacteristic
1203C24C23×D1711yescharacteristic
1204C24C23×D1711yescharacteristic
1205C24C23×D1711yescharacteristic
1206C2×Q8—342no—
1207C2×Q8—342no—
1208C2×Q8—681no—
1209C2×Q8—681no—
1210C2×Q8—681no—
1211C2×Q8—681no—
1212C2×Q8—681no—
1213C2×Q8—681no—
1214C2×Q8—681no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—416no—
1228C2×D4—342no—
1229C2×D4—342no—
1230C2×D4—342no—
1231C2×D4—342no—
1232C2×D4—342no—
1233C2×D4—681no—
1234C2×D4—681no—
1235C2×D4—681no—
1236C2×D4—681no—
1237C2×D4—681no—
1238C2×D4—681no—
1239C2×D4—681no—
1240C2×D4—681no—
1241C2×D4—681no—
1242C2×D4—681no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—416no—
1270C22×C4—171no—
1271C22×C4—171no—
1272C22×C4—171no—
1273C22×C4—171no—
1274C22×C4—171no—
1275C22×C4—171no—
1276C22×C4—171no—
1277C22×C4—171no—
1278C22×C4—171no—
1279C22×C4—171no—
1280C22×C4—171no—
1281C22×C4—171no—
1282C22×C4—171no—
1283C22×C4—171no—
1284C22×C4—171no—
1285C22×C4—342no—
1286C22×C4—681no—
1287C22×C4—681no—
1288C22×C4#6325214yes—
1289C22×C4C23×D1711yescharacteristic
1290C22×C4C23×D1711yescharacteristic
1291C22×C4C23×D1711yescharacteristic
1292C22×C4C23×D1711yescharacteristic
1293C22×C4C23×D1711yescharacteristic
1294C22×C4C23×D1711yescharacteristic
1295C22×C4C23×D1711yescharacteristic
1296C22×C4C23×D1711yescharacteristic
1297C22×C4C23×D1711yescharacteristic
1298C22×C4C23×D1711yescharacteristic
1299C4⋊C4—342no—
1300C4⋊C4—342no—
1301C4⋊C4—342no—
1302C4⋊C4—342no—
1303C4⋊C4—342no—
1304C4⋊C4—342no—
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—
1318C4⋊C4—681no—
1319C4⋊C4—681no—
1320C4⋊C4—681no—
1321C4⋊C4—681no—
1322C4⋊C4—681no—
1323C4⋊C4—681no—
1324C4⋊C4—681no—
1325C4⋊C4—681no—
1326C4⋊C4—681no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—342no—
1340C22⋊C4—342no—
1341C22⋊C4—342no—
1342C22⋊C4—342no—
1343C22⋊C4—342no—
1344C22⋊C4—342no—
1345C22⋊C4—342no—
1346C22⋊C4—342no—
1347C22⋊C4—342no—
1348C22⋊C4—342no—
1349C22⋊C4—342no—
1350C22⋊C4—342no—
1351C22⋊C4—342no—
1352C22⋊C4—342no—
1353C22⋊C4—342no—
1354C22⋊C4—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—
1366C22⋊C4—681no—
1367C22⋊C4—681no—
1368C22⋊C4—681no—
1369C22⋊C4—681no—
1370C22⋊C4—681no—
1371C22⋊C4—681no—
1372C22⋊C4—681no—
1373C22⋊C4—681no—
1374C22⋊C4—681no—
1375C22⋊C4—681no—
1376C22⋊C4—681no—
1377C22⋊C4—681no—
1378C22⋊C4—681no—
1379C22⋊C4—681no—
1380C22⋊C4—681no—
1381C22⋊C4—681no—
1382C22⋊C4—681no—
1383C42—342no—
1384C42—681no—
1385C42—681no—
1386C42—681no—
1387C42—681no—
1388C42—681no—
1389C42—681no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—28no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—82no—
1434C23—341no—
1435C23—341no—
1436C23—341no—
1437C23—341no—
1438C23—341no—
1439C23—341no—
1440C23—341no—
1441C23C2×#6325212yes—
1442C23#1058769112yes—
1443C23#1058769112yes—
1444C23#1058769112yes—
1445C23#1058769712yes—
1446C23C24×D1711yescharacteristic
1447Q8—1362no—
1448Q8—1362no—
1449Q8—1362no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—684no—
1455D4—1362no—
1456D4—1362no—
1457D4—1362no—
1458D4—1362no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—82no—
1494C2×C4—82no—
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—341no—
1508C2×C4—341no—
1509C2×C4—341no—
1510C2×C4—341no—
1511C2×C4—341no—
1512C2×C4—341no—
1513C2×C4—341no—
1514C2×C4—341no—
1515C2×C4—341no—
1516C2×C4—341no—
1517C2×C4—341no—
1518C2×C4—341no—
1519C2×C4—341no—
1520C2×C4—341no—
1521C2×C4—341no—
1522C2×C4—341no—
1523C2×C4—341no—
1524C2×C4—341no—
1525C2×C4—341no—
1526C2×C4—341no—
1527C2×C4—341no—
1528C2×C4—341no—
1529C2×C4—341no—
1530C2×C4—341no—
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—341no—
1540C2×C4—1362no—
1541C2×C4C2×#6325212yes—
1542C2×C4C2×#6325212yes—
1543C2×C4#1058769112yes—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—416no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—88no—
1580C22—681no—
1581C22—681no—
1582C22—681no—
1583C22—681no—
1584C22—681no—
1585C22—681no—
1586C22—681no—
1587C22#1176342414yes—
1588C22C22×#6325211yescharacteristic
1589C22C2×#1058769111yescharacteristic
1590C22C2×#1058769111yescharacteristic
1591C22C2×#1058769111yescharacteristic
1592C22C2×#1058769111yescharacteristic
1593C22C2×#1058769711yescharacteristic
1594C22#1176364511yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—22no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—681no—
1606C4—681no—
1607C4—681no—
1608C4—681no—
1609C4—681no—
1610C4—681no—
1611C4—681no—
1612C4—681no—
1613C4—681no—
1614C4—681no—
1615C4—681no—
1616C4—681no—
1617C4—681no—
1618C4—681no—
1619C4—681no—
1620C2—24no—
1621C2—42no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—1361no—
1626C2C2×#1176342411yescharacteristic
1627C2#1454247311yescharacteristic
1628C2#1454263611yescharacteristic
1629C2#1454293911yescharacteristic
1630C2#1454297411yescharacteristic
1631C2#1454299711yescharacteristic
1632C2#1454300611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC2×C17×#386C2
prime radical#14532134C2
hypercenterC2×#386D17
hypocenterC17#36793
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. #14537076C2semidirect
2. #14537071C2semidirect
3. #14536626C2semidirect
4. #14536171C2semidirect
5. #14536115C2semidirect
6. #14536037C2semidirect
7. #14535843C2semidirect
8. #14535782C2semidirect
9. #14535706C2semidirect
10. #14535590C2semidirect
11. #14535551C2semidirect
12. #14535526C2semidirect
13. #14535461C2semidirect
14. #14535400C2semidirect
15. #14535386C2semidirect
16. #14535260C2semidirect
17. #14535185C2semidirect
18. #14535039C2semidirect
19. #14534589C2semidirect
20. #14534557C2semidirect
21. #14533964C2semidirect
22. #14533795C2semidirect
23. #14533024C2semidirect
24. #14533024C2semidirect
25. #14532904C2semidirect
26. #14532904C2semidirect
27. #14532431C2semidirect
29. #14531517C2semidirect
30. #14531418C2semidirect
31. C2×C17×#386C2semidirect
32. C2×#10587565C22semidirect
33. C2×#10587565C22semidirect
36. C2×#10587571C22semidirect
37. C2×#10587571C22semidirect
38. C2×#10587615C22semidirect
39. C2×#10587615C22semidirect
43. C2×#10587610C22semidirect
44. C2×#10587610C22semidirect
50. #11762749C22semidirect
51. #11762746C22semidirect
52. #11762745C22semidirect
53. #11762745C22semidirect
54. #11762743C22semidirect
55. #11762743C22semidirect
56. #11762737C22semidirect
57. #11762737C22semidirect
58. #11762737C22semidirect
59. #11762737C22semidirect
60. #11762737C22semidirect
61. #11762737C22semidirect
62. #11762737C22semidirect
63. #11762737C22semidirect
64. #11762737C22semidirect
65. #11762737C22semidirect
66. #11762734C22semidirect
67. #11762734C22semidirect
68. #11762732C22semidirect
69. #11762732C22semidirect
70. #11762732C22semidirect
71. #11762732C22semidirect
72. #11762732C22semidirect
73. #11762732C22semidirect
74. #11762730C22semidirect
75. #11762730C22semidirect
76. #11762730C22semidirect
77. #11762725C22semidirect
78. #11762725C22semidirect
79. #11762724C22semidirect
80. #11762724C22semidirect
81. #11762724C22semidirect
82. #11762724C22semidirect
83. #11762724C22semidirect
84. #11762724C22semidirect
91. #11762722C22semidirect
92. #11762721C22semidirect
93. #11762721C22semidirect
94. #11762721C22semidirect
95. #11762721C22semidirect
98. #11762713C22semidirect
99. #11762713C22semidirect
100. #11762713C22semidirect
101. #11762713C22semidirect
106. #11762709C22semidirect
107. #11762709C22semidirect
108. #11762706C22semidirect
109. #11762706C22semidirect
110. #11762706C22semidirect
111. #11762706C22semidirect
112. #11762703C22semidirect
113. #11762703C22semidirect
114. #11762702C22semidirect
115. #11762702C22semidirect
116. #11762702C22semidirect
117. #11762702C22semidirect
118. #11762698C22semidirect
119. #11762698C22semidirect
120. #11762697C22semidirect
121. #11762697C22semidirect
122. #11762697C22semidirect
123. #11762697C22semidirect
124. #11762696C22semidirect
125. #11762696C22semidirect
126. #11762694C22semidirect
127. #11762694C22semidirect
128. #11762692C22semidirect
129. #11762692C22semidirect
130. #11762691C22semidirect
131. #11762691C22semidirect
136. #11762688C22semidirect
137. #11762688C22semidirect
138. #11762683C22semidirect
139. #11762683C22semidirect
146. #11762682C22semidirect
147. #11762682C22semidirect
148. #11762682C22semidirect
149. #11762682C22semidirect
150. #11762682C22semidirect
151. #11762682C22semidirect
152. #11762676C22semidirect
153. #11762673C22semidirect
154. #11762672C22semidirect
155. #11762672C22semidirect
156. #11762671C22semidirect
160. #11762669C22semidirect
161. #11762669C22semidirect
162. #11762668C22semidirect
758. C2×#386D17semidirect
1185. C17#36793semidirect

Maximal subgroups

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

subgroupindex
#145370762
#145370712
#145366262
#145361712
#145361152
#145360372
#145358432
#145357822
#145357062
#145355902
#145355512
#145355262
#145354612
#145354002
#145353862
#145352602
#145351852
#145350392
#145345892
#145345572
#145339642
#145337952
#145330242
#145329042
#145324312
#145321342
#145315172
#145314182
C2×C17×#3862
#3679317