Finite Group Databasebeta

← #17204516

Subgroups — #17204516

Order 4352.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763339C211yesmaximal, characteristic, complemented
2C2×#11763318C211yesmaximal, characteristic, complemented
3#14533930C211yesmaximal, characteristic, complemented
4#14533915C211yesmaximal, characteristic, complemented
5#14533900C211yesmaximal, characteristic, complemented
6#14533885C211yesmaximal, characteristic, complemented
7#14533870C211yesmaximal, characteristic, complemented
8#14533858C211yesmaximal, characteristic, complemented
9#14533846C211yesmaximal, characteristic, complemented
10#14533831C211yesmaximal, characteristic, complemented
11#14533796C211yesmaximal, characteristic, complemented
12#14533746C211yesmaximal, characteristic, complemented
13#14533716C211yesmaximal, characteristic, complemented
14#14533676C211yesmaximal, characteristic, complemented
15#14533112C211yesmaximal, characteristic, complemented
16#14532912C211yesmaximal, characteristic, complemented
17#14532337C211yesmaximal, characteristic, complemented
18#14532322C211yesmaximal, characteristic, complemented
19#14532060C211yesmaximal, characteristic, complemented
20#14532047C211yesmaximal, characteristic, complemented
21#14532026C211yesmaximal, characteristic, complemented
22#14531999C211yesmaximal, characteristic, complemented
23C4×#10587571C211yesmaximal, characteristic, complemented
24C4×#10587621C211yesmaximal, characteristic, complemented
25C4×#10587570C211yesmaximal, characteristic, complemented
26C4×#10587623C211yesmaximal, characteristic, complemented
27#14531270C211yesmaximal, characteristic, complemented
28#14531247C211yesmaximal, characteristic, complemented
29C42×C22⋊D17C211yesmaximal, characteristic, complemented
30C2×C4×#63227C211yesmaximal, characteristic, complemented
31C4×C17×#121C211yesmaximal, characteristic, complemented
32C22×#63252C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34#11763339—28no—
35C2×#10587584C2211yescharacteristic, complemented
36C2×#10587565C2211yescharacteristic, complemented
37C2×#10587575C2211yescharacteristic, complemented
38C2×#10587571C2211yescharacteristic
39C2×#10587571C2211yescharacteristic, complemented
40#11763318—28no—
41C2×#10587580C2211yescharacteristic
42C2×#10587572C2211yescharacteristic
43C2×#10587569C2211yescharacteristic
44C2×#10587621C2211yescharacteristic
45C2×#10587621C2211yescharacteristic
46C2×#10587582C2211yescharacteristic
47C2×#10587564C2211yescharacteristic
48C2×#10587564C2211yescharacteristic
49C2×#10587570C2211yescharacteristic
50C2×#10587570C2211yescharacteristic
51C2×#10587625C2211yescharacteristic
52C2×#10587625C2211yescharacteristic
53C2×#10587568C2211yescharacteristic
54C2×#10587623C2211yescharacteristic
55C2×#10587623C2211yescharacteristic
56C2×C4×Dic34C2211yescharacteristic, complemented
57C2×C4×D68C2211yescharacteristic
58C2×C4×C22⋊D17C2211yescharacteristic
59C2×C4×C22⋊D17C2211yescharacteristic
60C2×C4×C22⋊D17C2211yescharacteristic
61C2×C4×C22⋊D17C2211yescharacteristic
62C2×C4×C22⋊D17C2211yescharacteristic
63C2×C4×C22⋊D17C2211yescharacteristic
64C2×C4×C22⋊D17C2211yescharacteristic, complemented
65C2×#10587612C2211yescharacteristic, complemented
66C2×#10587558C2211yescharacteristic
67C2×#10587558C2211yescharacteristic, complemented
68C22×#63227C2211yescharacteristic
69C22×#63227C2211yescharacteristic
70C22×C4×Dic17C2211yescharacteristic
71C2×C42×D17C2211yescharacteristic, complemented
72#11762751C2211yescharacteristic, complemented
73#11762750C2211yescharacteristic, complemented
74#11762744C2211yescharacteristic
75#11762744C2211yescharacteristic
76#11762743C2211yescharacteristic, complemented
77#11762742C2211yescharacteristic, complemented
78#11762742C2211yescharacteristic, complemented
79#11762740C2211yescharacteristic, complemented
80#11762738C2211yescharacteristic
81#11762738C2211yescharacteristic, complemented
82#11762737C2211yescharacteristic, complemented
83#11762735C2211yescharacteristic, complemented
84#11762733C2211yescharacteristic
85#11762732C2211yescharacteristic, complemented
86#11762731C2211yescharacteristic
87#11762731C2211yescharacteristic
88#11762729C2211yescharacteristic, complemented
89#11762729C2211yescharacteristic, complemented
90#11762727C2211yescharacteristic
91#11762726C2211yescharacteristic
92#11762726C2211yescharacteristic
93#11762725C2211yescharacteristic
94#11762724C2211yescharacteristic
95#11762724C2211yescharacteristic
96#11762724C2211yescharacteristic, complemented
97#11762723C2211yescharacteristic, complemented
98#11762722C2211yescharacteristic
99#11762721C2211yescharacteristic, complemented
100#11762718C2211yescharacteristic
101#11762717C2211yescharacteristic
102#11762717C2211yescharacteristic
103#11762717C2211yescharacteristic, complemented
104#11762713C2211yescharacteristic, complemented
105#11762713C2211yescharacteristic, complemented
106#11762713C2211yescharacteristic, complemented
107#11762709C2211yescharacteristic
108#11762709C2211yescharacteristic
109#11762709C2211yescharacteristic
110#11762709C2211yescharacteristic
111#11762709C2211yescharacteristic
112#11762709C2211yescharacteristic
113#11762706C2211yescharacteristic, complemented
114#11762706C2211yescharacteristic, complemented
115#11762706C2211yescharacteristic, complemented
116#11762702C2211yescharacteristic, complemented
117#11762702C2211yescharacteristic, complemented
118#11762701C2211yescharacteristic
119#11762701C2211yescharacteristic
120#11762701C2211yescharacteristic
121#11762698C2211yescharacteristic
122#11762698C2211yescharacteristic
123#11762697C2211yescharacteristic, complemented
124#11762697C2211yescharacteristic, complemented
125#11762697C2211yescharacteristic, complemented
126#11762697C2211yescharacteristic, complemented
127#11762697C2211yescharacteristic, complemented
128#11762690C2211yescharacteristic, complemented
129#11762690C2211yescharacteristic, complemented
130#11762689C2211yescharacteristic
131#11762689C2211yescharacteristic
132#11762687C2211yescharacteristic
133#11762687C2211yescharacteristic
134#11762687C2211yescharacteristic
135#11762685C2211yescharacteristic
136#11762685C2211yescharacteristic
137#11762685C2211yescharacteristic, complemented
138#11762685C2211yescharacteristic, complemented
139#11762685C2211yescharacteristic, complemented
140#11762681C2211yescharacteristic
141#11762681C2211yescharacteristic
142#11762680C2211yescharacteristic
143#11762680C2211yescharacteristic
144#11762673C2211yescharacteristic, complemented
145#11762670C2211yescharacteristic
146#11762668C2211yescharacteristic, complemented
147#11762664C2211yescharacteristic
148C4×#63225C2211yescharacteristic, complemented
149C4×#63225C2211yescharacteristic, complemented
150C4×#63225C2211yescharacteristic, complemented
151C4×#63225C2211yescharacteristic, complemented
152C4×#63225C2211yescharacteristic, complemented
153C4×#63227C2211yescharacteristic
154C4×#63227C2211yescharacteristic
155C4×#63227C2211yescharacteristic
156C4×#63227C2211yescharacteristic
157C4×#63227C2211yescharacteristic
158C4×#63227C2211yescharacteristic
159C4×#63227C2211yescharacteristic
160C4×#63227C2211yescharacteristic
161C4×#63227C2211yescharacteristic
162C4×#63227C2211yescharacteristic
163C4×#63227C2211yescharacteristic, complemented
164C4×#63227C2211yescharacteristic, complemented
165C4×#63227C2211yescharacteristic, complemented
166C4×C22⋊Dic17C2211yescharacteristic
167C4×C22⋊Dic17C2211yescharacteristic
168C4×C22⋊Dic17C2211yescharacteristic
169C4×C22⋊Dic17C2211yescharacteristic, complemented
170C4×C22⋊Dic17C2211yescharacteristic, complemented
171C2×#10587502C2211yescharacteristic
172C2×#10587502C2211yescharacteristic
173C42×Dic17C2211yescharacteristic, complemented
174C2×C17×#121C2211yescharacteristic
175C2×C4×D4×C17C2211yescharacteristic
176C2×C4×D4×C17C2211yescharacteristic
177C2×C4×D4×C17C2211yescharacteristic, complemented
178C22×C42×C17C2211yescharacteristic
179C17×#390C2211yescharacteristic, complemented
180C17×#389C2211yescharacteristic, complemented
181C17×#388C2211yescharacteristic, complemented
182C17×#388C2211yescharacteristic, complemented
183C17×#386C2211yescharacteristic
184C17×#386C2211yescharacteristic
185C17×#380C2211yescharacteristic
186C4×C4⋊C4×C17C2211yescharacteristic, complemented
187C4×C22⋊C4×C17C2211yescharacteristic, complemented
188C4×C22⋊C4×C17C2211yescharacteristic, complemented
189C24×D17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
197C23×C4×C17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C23×Dic17C2311yescharacteristic
206C23×Dic17C2311yescharacteristic
207C23×Dic17C2311yescharacteristic
208C2×#63252—24no—
209C2×#63252—24no—
210C2×#63252—42no—
211C22×D68C2311yescharacteristic
212C22×D68C2311yescharacteristic
213C22×C4×D17—24no—
214C22×C4×D17—24no—
215C22×C4×D17—42no—
216C22×C4×D17C2311yescharacteristic
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C22×C4×D17C2311yescharacteristic
223C22×Dic34C2311yescharacteristic
224C22×Dic34C2311yescharacteristic
225C17×#121—24no—
226C4×D4×C17—24no—
227C4×D4×C17—24no—
228C4×D4×C17—42no—
229C2×C4⋊C4×C17C2311yescharacteristic
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C4⋊C4×C17C2311yescharacteristic
232C2×C4⋊C4×C17C2311yescharacteristic
233C2×C4⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C22⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C42×C17—42no—
245C2×C42×C17C2311yescharacteristic
246C2×C42×C17C2311yescharacteristic
247C2×C42×C17C2311yescharacteristic
248C2×C42×C17C2311yescharacteristic
249C2×C42×C17C2311yescharacteristic
250C2×C42×C17C2311yescharacteristic
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
264#10587625—24no—
265#10587625—24no—
266#10587623—24no—
267#10587623—24no—
268#10587621—24no—
269#10587621—24no—
270C4×C22⋊D17—24no—
271C4×C22⋊D17—24no—
272C4×C22⋊D17—24no—
273C4×C22⋊D17—24no—
274C4×C22⋊D17—24no—
275C4×C22⋊D17—42no—
276C4×C22⋊D17D418yescomplemented
277C2×#63227—24no—
278C2×#63227—24no—
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
291C2×#63227C2311yescharacteristic
292C2×#63227C2311yescharacteristic
293C2×#63227C2311yescharacteristic
294C2×#63227C2311yescharacteristic
295C2×#63227C2311yescharacteristic
296C2×#63227C2311yescharacteristic
297C2×#63227C2311yescharacteristic
298C2×#63227C2311yescharacteristic
299C2×#63227C2311yescharacteristic
300C2×#63227C2311yescharacteristic
301C2×#63227C2311yescharacteristic
302C2×#63227C2311yescharacteristic
303C2×#63227C2311yescharacteristic
304#10587612—24no—
305C2×C4⋊Dic17C2311yescharacteristic
306C2×C4⋊Dic17C2311yescharacteristic
307C2×C4⋊Dic17C2311yescharacteristic
308C2×C4⋊Dic17C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×#63225C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×#63225C2311yescharacteristic
318C2×#63225C2311yescharacteristic
319C2×#63225C2311yescharacteristic
320C2×#63225C2311yescharacteristic
321C2×#63225C2311yescharacteristic
322C2×#63225C2311yescharacteristic
323C2×#63225C2311yescharacteristic
324C2×#63225C2311yescharacteristic
325C2×#63225C2311yescharacteristic
326C2×C4×Dic17—24no—
327C2×C4×Dic17C2311yescharacteristic
328C2×C4×Dic17C2311yescharacteristic
329C2×C4×Dic17C2311yescharacteristic
330C2×C4×Dic17C2311yescharacteristic
331C2×C4×Dic17C2311yescharacteristic
332C2×C4×Dic17C2311yescharacteristic
333C2×C4×Dic17C2311yescharacteristic
334C2×C4×Dic17C2311yescharacteristic
335C2×C4×Dic17C2311yescharacteristic
336C2×C4×Dic17C2311yescharacteristic
337C2×C4×Dic17C2311yescharacteristic
338C2×C4×Dic17C2311yescharacteristic
339C2×C4×Dic17C2311yescharacteristic
340#10587584—24no—
341#10587582—24no—
342#10587580—24no—
343#10587575—24no—
344#10587572—24no—
345#10587571—24no—
346#10587571—24no—
347#10587570—24no—
348#10587570—24no—
349#10587569—24no—
350#10587568—24no—
351#10587565—24no—
352#10587564—24no—
353#10587564—24no—
354C4×D68—24no—
355#10587558—24no—
356#10587558—24no—
357C42×D17—42no—
358C4×Dic34—24no—
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
361C17×#95C2311yescharacteristic
362C17×#95C2311yescharacteristic
363C17×#95C2311yescharacteristic
364C17×#95C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376#10587502C2311yescharacteristic
377#10587502C2311yescharacteristic
378#10587502C2311yescharacteristic
379#10587502C2311yescharacteristic
380#10587502C2311yescharacteristic
381#10587502C2311yescharacteristic
382#10587502C2311yescharacteristic
383#10587502C2311yescharacteristic
384#10587502C2311yescharacteristic
385#10587502C2311yescharacteristic
386#10587502C2311yescharacteristic
387#10587502C2311yescharacteristic
388#10587502C2311yescharacteristic
389#10587502C2311yescharacteristic
390#10587502C2311yescharacteristic
391C24×C17C2411yescharacteristic
392C24×C17C2411yescharacteristic
393C24×C17C2411yescharacteristic
394C23×D17—22no—
395C23×D17—22no—
396C23×D17—22no—
397C23×D17—22no—
398C23×D17—22no—
399C23×D17—41no—
400C23×D17—41no—
401C23×D17C2411yescharacteristic
402C23×D17C2411yescharacteristic
403C23×D17C2411yescharacteristic
404C2×D4×C17—22no—
405C2×D4×C17—22no—
406C2×D4×C17—22no—
407C2×D4×C17—22no—
408C2×D4×C17—22no—
409C2×D4×C17—22no—
410C2×D4×C17—22no—
411C2×D4×C17—41no—
412C2×D4×C17—41no—
413C22×C4×C17—22no—
414C22×C4×C17—22no—
415C22×C4×C17—22no—
416C22×C4×C17—22no—
417C22×C4×C17—22no—
418C22×C4×C17—22no—
419C22×C4×C17—22no—
420C22×C4×C17—22no—
421C22×C4×C17—22no—
422C22×C4×C17—22no—
423C22×C4×C17—41no—
424C22×C4×C17—41no—
425C22×C4×C17—41no—
426C22×C4×C17C2×D414yes—
427C22×C4×C17#4114yescomplemented
428C22×C4×C17C2411yescharacteristic
429C22×C4×C17C2411yescharacteristic
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—22no—
446C2×C22⋊D17—22no—
447C2×C22⋊D17—22no—
448C2×C22⋊D17—22no—
449C2×C22⋊D17—22no—
450C2×C22⋊D17—22no—
451C2×C22⋊D17—22no—
452C2×C22⋊D17—22no—
453C2×C22⋊D17—22no—
454C2×C22⋊D17—41no—
455C2×C22⋊D17—41no—
456C2×C22⋊D17—41no—
457C2×C22⋊D17—41no—
458C2×C22⋊D17—41no—
459C2×C22⋊D17—41no—
460C2×C22⋊D17C2×D414yes—
461C22×Dic17—22no—
462C22×Dic17—22no—
463C22×Dic17—22no—
464C22×Dic17—22no—
465C22×Dic17—22no—
466C22×Dic17—22no—
467C22×Dic17—22no—
468C22×Dic17—41no—
469C22×Dic17—41no—
470C22×Dic17C2411yescharacteristic
471C22×Dic17C2411yescharacteristic
472C22×Dic17C2411yescharacteristic
473C22×Dic17C2411yescharacteristic
474C22×Dic17C2411yescharacteristic
475C22×Dic17C2411yescharacteristic
476C22×Dic17C2411yescharacteristic
477C22×Dic17C2411yescharacteristic
478C22×Dic17C2411yescharacteristic
479C22×Dic17C2411yescharacteristic
480C22×Dic17C2411yescharacteristic
481C22×Dic17C2411yescharacteristic
482C22×Dic17C2411yescharacteristic
483#63252—416no—
484C2×D68—22no—
485C2×D68—22no—
486C2×D68—22no—
487C2×D68—22no—
488C2×D68—41no—
489C2×D68—41no—
490C2×C4×D17—22no—
491C2×C4×D17—22no—
492C2×C4×D17—22no—
493C2×C4×D17—22no—
494C2×C4×D17—22no—
495C2×C4×D17—22no—
496C2×C4×D17—22no—
497C2×C4×D17—22no—
498C2×C4×D17—22no—
499C2×C4×D17—22no—
500C2×C4×D17—22no—
501C2×C4×D17—22no—
502C2×C4×D17—22no—
503C2×C4×D17—22no—
504C2×C4×D17—416no—
505C2×C4×D17—41no—
506C2×C4×D17—41no—
507C2×C4×D17—41no—
508C2×C4×D17—41no—
509C2×C4×D17—41no—
510C2×C4×D17C2×D414yes—
511C2×C4×D17#4114yes—
512C2×Dic34—22no—
513C2×Dic34—22no—
514C2×Dic34—22no—
515C2×Dic34—22no—
516C2×Dic34—41no—
517C2×Dic34—41no—
518C4⋊C4×C17—22no—
519C4⋊C4×C17—22no—
520C4⋊C4×C17—22no—
521C4⋊C4×C17—41no—
522C4⋊C4×C17—41no—
523C22⋊C4×C17—22no—
524C22⋊C4×C17—22no—
525C22⋊C4×C17—22no—
526C22⋊C4×C17—22no—
527C22⋊C4×C17—22no—
528C22⋊C4×C17—22no—
529C22⋊C4×C17—22no—
530C22⋊C4×C17—22no—
531C22⋊C4×C17—41no—
532C22⋊C4×C17—41no—
533C42×C17—22no—
534C42×C17—22no—
535C42×C17—22no—
536C42×C17—22no—
537C42×C17—41no—
538C42×C17—41no—
539C22⋊Dic17—22no—
540C22⋊Dic17—22no—
541C22⋊Dic17—22no—
542C22⋊Dic17—22no—
543C22⋊Dic17—22no—
544C22⋊Dic17—22no—
545C22⋊Dic17—22no—
546C22⋊Dic17—22no—
547C22⋊Dic17—22no—
548C22⋊Dic17—41no—
549C22⋊Dic17—41no—
550C22⋊Dic17C2×D414yes—
551C22⋊Dic17#4114yescomplemented
552#63227—22no—
553#63227—22no—
554#63227—22no—
555#63227—22no—
556#63227—22no—
557#63227—22no—
558#63227—22no—
559#63227—22no—
560#63227—22no—
561#63227—22no—
562#63227—22no—
563#63227—22no—
564#63227—22no—
565#63227—22no—
566#63227—22no—
567#63227—22no—
568#63227—22no—
569#63227—22no—
570#63227—22no—
571#63227—22no—
572#63227—22no—
573#63227—41no—
574#63227—41no—
575#63227C2×D414yes—
576#63227#4114yescomplemented
577C4⋊Dic17—22no—
578C4⋊Dic17—22no—
579C4⋊Dic17—22no—
580C4⋊Dic17—22no—
581#63225—22no—
582#63225—22no—
583#63225—22no—
584#63225—22no—
585#63225—22no—
586#63225—22no—
587#63225—22no—
588#63225—22no—
589#63225—22no—
590#63225—22no—
591#63225—22no—
592#63225—22no—
593#63225—22no—
594#63225—22no—
595#63225—41no—
596#63225—41no—
597#63225C2×D414yes—
598C4×Dic17—22no—
599C4×Dic17—22no—
600C4×Dic17—22no—
601C4×Dic17—22no—
602C4×Dic17—22no—
603C4×Dic17—22no—
604C4×Dic17—22no—
605C4×Dic17—22no—
606C4×Dic17—22no—
607C4×Dic17—41no—
608C4×Dic17—41no—
609C4×Dic17—41no—
610C4×Dic17C2×D414yes—
611#34829—171nomaximal, Sylow
612C23×C17—21no—
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—21no—
622C23×C17—21no—
623C23×C17—21no—
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—21no—
630C23×C17C22×D412yes—
631C23×C17C2×#4112yes—
632C23×C17C2×#4112yes—
633C23×C17C2511yescharacteristic
634C22×D17—28no—
635C22×D17—21no—
636C22×D17—21no—
637C22×D17—21no—
638C22×D17—21no—
639C22×D17—21no—
640C22×D17—21no—
641C22×D17—21no—
642C22×D17—21no—
643C22×D17—21no—
644C22×D17—21no—
645C22×D17—21no—
646C22×D17—21no—
647C22×D17—21no—
648C22×D17—21no—
649C22×D17—21no—
650C22×D17—21no—
651C22×D17—21no—
652C22×D17—21no—
653C22×D17—44no—
654C22×D17—44no—
655C22×D17—44no—
656C22×D17—44no—
657C22×D17—44no—
658C22×D17—44no—
659C22×D17C22×D412yes—
660C22×D17C2×#4112yes—
661C22×D17C2×#4112yes—
662D4×C17—44no—
663D4×C17—44no—
664D4×C17—44no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—28no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
694C2×C4×C17—21no—
695C2×C4×C17—44no—
696C2×C4×C17—44no—
697C2×C4×C17—44no—
698C2×C4×C17—44no—
699C2×C4×C17C22×D412yes—
700C2×C4×C17C22×D412yes—
701C2×C4×C17C2×#4112yes—
702C2×C4×C17C2×#4112yes—
703C2×C4×C17C2×#4112yes—
704C2×C4×C17C2×#4112yes—
705C2×C4×C17H(5,𝔽2)12yes—
706C22⋊D17—28no—
707C22⋊D17—44no—
708C22⋊D17—44no—
709C22⋊D17—44no—
710C22⋊D17—44no—
711C22⋊D17—44no—
712C22⋊D17—44no—
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—
724C2×Dic17—21no—
725C2×Dic17—21no—
726C2×Dic17—21no—
727C2×Dic17—21no—
728C2×Dic17—21no—
729C2×Dic17—21no—
730C2×Dic17—21no—
731C2×Dic17—21no—
732C2×Dic17—21no—
733C2×Dic17—21no—
734C2×Dic17—21no—
735C2×Dic17—21no—
736C2×Dic17—21no—
737C2×Dic17—21no—
738C2×Dic17—21no—
739C2×Dic17—21no—
740C2×Dic17—21no—
741C2×Dic17—21no—
742C2×Dic17—21no—
743C2×Dic17—21no—
744C2×Dic17—21no—
745C2×Dic17—44no—
746C2×Dic17—44no—
747C2×Dic17—44no—
748C2×Dic17C22×D412yes—
749C2×Dic17C22×D412yes—
750C2×Dic17C22×D412yes—
751C2×Dic17C2×#4112yes—
752C2×Dic17C2×#4112yes—
753C2×Dic17C2×#4112yes—
754C2×Dic17C2×#4112yes—
755D68—44no—
756D68—44no—
757C4×D17—28no—
758C4×D17—28no—
759C4×D17—44no—
760C4×D17—44no—
761C4×D17—44no—
762C4×D17—44no—
763C4×D17—44no—
764Dic34—44no—
765Dic34—44no—
766C2×#529—171no—
767C2×#525—171no—
768#2560—171no—
769#2559—171no—
770#2558—171no—
771#2557—171no—
772#2556—171no—
773#2555—171no—
774#2554—171no—
775#2553—171no—
776#2549—171no—
777#2543—171no—
778#2539—171no—
779#2534—171no—
780#2488—171no—
781#2472—171no—
782#2425—171no—
783#2424—171no—
784#2396—171no—
785#2395—171no—
786#2392—171no—
787#2388—171no—
788C4×#124—171no—
789C4×#123—171no—
790C4×#121—171no—
791C4×#121D1711yescharacteristic, complemented
792C4×#120—171no—
793#2297—171no—
794#2293—171no—
795C42×D4—171no—
796C2×C4×C22⋊C4—171no—
797C22×C17—22no—
798C22×C17—22no—
799C22×C17—22no—
800C22×C17—22no—
801C22×C17—22no—
802C22×C17—22no—
803C22×C17—41no—
804C22×C17—41no—
805C22×C17—41no—
806C22×C17—41no—
807C22×C17—41no—
808C22×C17—41no—
809C22×C17—41no—
810C22×C17—41no—
811C22×C17—41no—
812C22×C17—41no—
813C22×C17—41no—
814C22×C17—41no—
815C22×C17—41no—
816C22×C17—41no—
817C22×C17#53214yes—
818C22×C17C23×D411yescharacteristic
819C22×C17C22×#4111yescharacteristic
820C22×C17C22×#4111yescharacteristic
821C22×C17C22×#4111yescharacteristic
822C22×C17C22×#4111yescharacteristic
823C22×C17C2×H(5,𝔽2)11yescharacteristic
824C22×C17#58511yescharacteristic
825C2×D17—22no—
826C2×D17—22no—
827C2×D17—22no—
828C2×D17—22no—
829C2×D17—22no—
830C2×D17—22no—
831C2×D17—22no—
832C2×D17—22no—
833C2×D17—22no—
834C2×D17—416no—
835C2×D17—41no—
836C2×D17—41no—
837C2×D17—41no—
838C2×D17—41no—
839C2×D17—41no—
840C2×D17—41no—
841C2×D17—41no—
842C2×D17—41no—
843C2×D17—41no—
844C2×D17—41no—
845C2×D17—41no—
846C2×D17—41no—
847C4×C17—22no—
848C4×C17—22no—
849C4×C17—22no—
850C4×C17—22no—
851C4×C17—41no—
852C4×C17—41no—
853C4×C17—41no—
854C4×C17—41no—
855C4×C17—41no—
856C4×C17—41no—
857C4×C17—41no—
858C4×C17#54614yes—
859Dic17—22no—
860Dic17—22no—
861Dic17—22no—
862Dic17—22no—
863Dic17—22no—
864Dic17—22no—
865Dic17—22no—
866Dic17—41no—
867Dic17—41no—
868Dic17—41no—
869Dic17—41no—
870Dic17—41no—
871Dic17—41no—
872C22×#41—171no—
873C24×C4—171no—
874#529—348no—
875C2×#126—171no—
876C2×#126—171no—
877C2×#125—171no—
878C2×#124—171no—
879C2×#124—171no—
880#525—348no—
881C2×#123—171no—
882C2×#123—171no—
883C2×#123—171no—
884C2×#123—171no—
885C2×#123—171no—
886C2×C22⋊Q8—171no—
887C2×C22⋊Q8—171no—
888C2×C22⋊Q8—171no—
889C2×#121—171no—
890C2×#121—171no—
891C2×#121—171no—
892C2×#121—171no—
893C2×#121C2×D1711yescharacteristic
894C2×#120—171no—
895C2×#120—171no—
896C2×#120—171no—
897C2×C4×Q8—171no—
898C2×C4×D4—171no—
899C2×C4×D4—171no—
900C2×C4×D4—171no—
901C2×C4×D4—171no—
902C2×C4×D4—171no—
903C2×C4×D4—171no—
904C2×C4×D4—171no—
905C2×C4×D4—171no—
906C2×C4×D4C2×D1711yescharacteristic
907C2×C4×D4C2×D1711yescharacteristic
908C2×C4×D4C2×D1711yescharacteristic, complemented
909C2×#117—171no—
910C2×#117—171no—
911C2×#117—171no—
912C22×C22⋊C4—171no—
913C22×C22⋊C4—171no—
914C22×C42—171no—
915C22×C42—171no—
916C22×C42C2×D1711yescharacteristic
917#400—171no—
918#400—171no—
919#399—171no—
920#399—171no—
921#398—171no—
922#398—171no—
923#398—171no—
924#398—171no—
925#397—171no—
926#397—171no—
927#397—171no—
928#397—171no—
929#396—171no—
930#396—171no—
931#396—171no—
932#396—171no—
933#395—171no—
934#395—171no—
935#394—171no—
936#394—171no—
937#394—171no—
938#394—171no—
939#394—171no—
940#394—171no—
941#394—171no—
942#394—171no—
943#393—171no—
944#393—171no—
945#392—171no—
946#392—171no—
947#392—171no—
948#392—171no—
949#391—171no—
950#391—171no—
951#391—171no—
952#390—171no—
953#390—171no—
954#390—171no—
955#390—171no—
956#390—171no—
957#390—171no—
958#390C2×D1711yescharacteristic, complemented
959#389—171no—
960#389—171no—
961#389—171no—
962#389C2×D1711yescharacteristic, complemented
963#388—171no—
964#388—171no—
965#388—171no—
966#388—171no—
967#388—171no—
968#388—171no—
969#388—171no—
970#388—171no—
971#388—171no—
972#388—171no—
973#388—171no—
974#388—171no—
975#388C2×D1711yescharacteristic, complemented
976#388C2×D1711yescharacteristic, complemented
977#387—171no—
978#387—171no—
979#386—171no—
980#386—171no—
981#386—171no—
982#386—171no—
983#386—171no—
984#386—171no—
985#386—171no—
986#386—171no—
987#386—171no—
988#386—171no—
989#386C2×D1711yescharacteristic
990#386C2×D1711yescharacteristic
991#385—171no—
992#385—171no—
993#385—171no—
994#385—171no—
995#382—171no—
996#381—171no—
997#380—171no—
998#380C2×D1711yescharacteristic
999#379—171no—
1000C4×C4⋊C4—171no—
1001C4×C4⋊C4—171no—
1002C4×C4⋊C4—171no—
1003C4×C4⋊C4—171no—
1004C4×C4⋊C4—171no—
1005C4×C4⋊C4C2×D1711yescharacteristic, complemented
1006C4×C22⋊C4—171no—
1007C4×C22⋊C4—171no—
1008C4×C22⋊C4—171no—
1009C4×C22⋊C4—171no—
1010C4×C22⋊C4—171no—
1011C4×C22⋊C4—171no—
1012C4×C22⋊C4—171no—
1013C4×C22⋊C4—171no—
1014C4×C22⋊C4—171no—
1015C4×C22⋊C4—171no—
1016C4×C22⋊C4—171no—
1017C4×C22⋊C4—171no—
1018C4×C22⋊C4—171no—
1019C4×C22⋊C4—171no—
1020C4×C22⋊C4—171no—
1021C4×C22⋊C4—171no—
1022C4×C22⋊C4—171no—
1023C4×C22⋊C4—171no—
1024C4×C22⋊C4C2×D1711yescharacteristic, complemented
1025C4×C22⋊C4C2×D1711yescharacteristic, complemented
1026C2×#95—171no—
1027C2×#95—171no—
1028C43—171no—
1029C2×C17—24no—
1030C2×C17—81no—
1031C2×C17—81no—
1032C2×C17C2×#53211yescharacteristic
1033C2×C17#344411yescharacteristic
1034C2×C17#345911yescharacteristic
1035C2×C17C2×#54611yescharacteristic
1036C2×C17D4×#4111yescharacteristic
1037C2×C17#347511yescharacteristic
1038C2×C17#348111yescharacteristic
1039D17—42no—
1040D17—42no—
1041D17—42no—
1042C25—171no—
1043C2×#41—344no—
1044C2×#41—344no—
1045C2×#41—682no—
1046C22×Q8—171no—
1047C22×Q8—171no—
1048C22×D4—171no—
1049C22×D4—171no—
1050C22×D4—171no—
1051C22×D4—171no—
1052C22×D4—171no—
1053C22×D4—171no—
1054C22×D4—171no—
1055C22×D4—171no—
1056C22×D4—171no—
1057C22×D4C22×D1711yescharacteristic
1058C22×D4C22×D1711yescharacteristic
1059C22×D4C22×D1711yescharacteristic
1060C23×C4—171no—
1061C23×C4—171no—
1062C23×C4—171no—
1063C23×C4—171no—
1064C23×C4—171no—
1065C23×C4—171no—
1066C23×C4—171no—
1067C23×C4—171no—
1068C23×C4—171no—
1069C23×C4—171no—
1070C23×C4—344no—
1071C23×C4—344no—
1072C23×C4—682no—
1073C23×C4C22×D1711yescharacteristic
1074C23×C4C22×D1711yescharacteristic
1075C23×C4C22×D1711yescharacteristic
1076C23×C4C22×D1711yescharacteristic
1077C23×C4C22×D1711yescharacteristic
1078#126—344no—
1079#126—344no—
1080#125—344no—
1081#124—344no—
1082#124—344no—
1083#123—344no—
1084#123—344no—
1085#123—344no—
1086#123—344no—
1087#123—344no—
1088C22⋊Q8—344no—
1089C22⋊Q8—344no—
1090C22⋊Q8—344no—
1091#121—24no—
1092#121—344no—
1093#121—344no—
1094#121—344no—
1095#121—344no—
1096#120—344no—
1097#120—344no—
1098#120—344no—
1099C4×Q8—344no—
1100C4×D4—24no—
1101C4×D4—24no—
1102C4×D4—42no—
1103C4×D4—178no—
1104C4×D4—344no—
1105C4×D4—344no—
1106C4×D4—344no—
1107C4×D4—344no—
1108C4×D4—344no—
1109C4×D4—344no—
1110C4×D4—682no—
1111#117—344no—
1112#117—344no—
1113#117—344no—
1114C2×C4⋊C4—171no—
1115C2×C4⋊C4—171no—
1116C2×C4⋊C4—171no—
1117C2×C4⋊C4—171no—
1118C2×C4⋊C4—171no—
1119C2×C4⋊C4—171no—
1120C2×C4⋊C4—171no—
1121C2×C4⋊C4—171no—
1122C2×C4⋊C4—171no—
1123C2×C4⋊C4—171no—
1124C2×C4⋊C4—171no—
1125C2×C4⋊C4—171no—
1126C2×C4⋊C4—171no—
1127C2×C4⋊C4—171no—
1128C2×C4⋊C4—171no—
1129C2×C4⋊C4—171no—
1130C2×C4⋊C4—171no—
1131C2×C4⋊C4—171no—
1132C2×C4⋊C4—171no—
1133C2×C4⋊C4—171no—
1134C2×C4⋊C4—171no—
1135C2×C4⋊C4C22×D1711yescharacteristic
1136C2×C4⋊C4C22×D1711yescharacteristic
1137C2×C4⋊C4C22×D1711yescharacteristic
1138C2×C4⋊C4C22×D1711yescharacteristic
1139C2×C4⋊C4C22×D1711yescharacteristic
1140C2×C22⋊C4—171no—
1141C2×C22⋊C4—171no—
1142C2×C22⋊C4—171no—
1143C2×C22⋊C4—171no—
1144C2×C22⋊C4—171no—
1145C2×C22⋊C4—171no—
1146C2×C22⋊C4—171no—
1147C2×C22⋊C4—171no—
1148C2×C22⋊C4—171no—
1149C2×C22⋊C4—171no—
1150C2×C22⋊C4—171no—
1151C2×C22⋊C4—171no—
1152C2×C22⋊C4—171no—
1153C2×C22⋊C4—171no—
1154C2×C22⋊C4—171no—
1155C2×C22⋊C4—171no—
1156C2×C22⋊C4—171no—
1157C2×C22⋊C4—171no—
1158C2×C22⋊C4—171no—
1159C2×C22⋊C4—171no—
1160C2×C22⋊C4—171no—
1161C2×C22⋊C4—171no—
1162C2×C22⋊C4—171no—
1163C2×C22⋊C4—171no—
1164C2×C22⋊C4—171no—
1165C2×C22⋊C4—171no—
1166C2×C22⋊C4—171no—
1167C2×C22⋊C4—171no—
1168C2×C22⋊C4—171no—
1169C2×C22⋊C4—171no—
1170C2×C22⋊C4—171no—
1171C2×C22⋊C4—171no—
1172C2×C22⋊C4—171no—
1173C2×C22⋊C4—171no—
1174C2×C22⋊C4—171no—
1175C2×C22⋊C4—171no—
1176C2×C22⋊C4—171no—
1177C2×C22⋊C4—171no—
1178C2×C22⋊C4—344no—
1179C2×C22⋊C4—344no—
1180C2×C22⋊C4C22×D1711yescharacteristic
1181C2×C22⋊C4C22×D1711yescharacteristic
1182C2×C22⋊C4C22×D1711yescharacteristic
1183C2×C22⋊C4C22×D1711yescharacteristic
1184C2×C22⋊C4C22×D1711yescharacteristic
1185C2×C22⋊C4C22×D1711yescharacteristic
1186C2×C22⋊C4C22×D1711yescharacteristic
1187C2×C22⋊C4C22×D1711yescharacteristic
1188C2×C22⋊C4C22×D1711yescharacteristic
1189C2×C22⋊C4C22×D1711yescharacteristic
1190C2×C42—42no—
1191C2×C42—171no—
1192C2×C42—171no—
1193C2×C42—171no—
1194C2×C42—171no—
1195C2×C42—171no—
1196C2×C42—171no—
1197C2×C42—171no—
1198C2×C42—171no—
1199C2×C42—171no—
1200C2×C42—171no—
1201C2×C42—171no—
1202C2×C42—171no—
1203C2×C42—171no—
1204C2×C42—344no—
1205C2×C42—682no—
1206C2×C42C22×D1711yescharacteristic
1207C2×C42C22×D1711yescharacteristic
1208C2×C42C22×D1711yescharacteristic
1209C2×C42C22×D1711yescharacteristic
1210C2×C42C22×D1711yescharacteristic
1211C2×C42C22×D1711yescharacteristic
1212#95—171no—
1213#95—171no—
1214#95—171no—
1215#95—171no—
1216#95—171no—
1217#95—171no—
1218#95—171no—
1219#95—171no—
1220#95—171no—
1221#95—171no—
1222#95—171no—
1223#95—171no—
1224#95—171no—
1225#95—171no—
1226#95—171no—
1227#95—171no—
1228#95—171no—
1229#95—171no—
1230#95—171no—
1231#95—171no—
1232#95—171no—
1233#95—171no—
1234#95—171no—
1235#95—171no—
1236#95—171no—
1237#95—171no—
1238#95C22×D1711yescharacteristic
1239#95C22×D1711yescharacteristic
1240#95C22×D1711yescharacteristic
1241#95C22×D1711yescharacteristic
1242#95C22×D1711yescharacteristic
1243#95C22×D1711yescharacteristic
1244C17#3482911yescharacteristic, complemented, Sylow
1245C24—171no—
1246C24—171no—
1247C24—171no—
1248C24—342no—
1249C24—342no—
1250C24—342no—
1251C24—342no—
1252C24—342no—
1253C24—681no—
1254C24—681no—
1255C24C23×D1711yescharacteristic
1256C24C23×D1711yescharacteristic
1257C24C23×D1711yescharacteristic
1258#41—6816no—
1259C2×Q8—342no—
1260C2×Q8—342no—
1261C2×Q8—342no—
1262C2×Q8—342no—
1263C2×Q8—681no—
1264C2×Q8—681no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—174no—
1275C2×D4—342no—
1276C2×D4—342no—
1277C2×D4—342no—
1278C2×D4—342no—
1279C2×D4—342no—
1280C2×D4—342no—
1281C2×D4—342no—
1282C2×D4—342no—
1283C2×D4—342no—
1284C2×D4—342no—
1285C2×D4—342no—
1286C2×D4—342no—
1287C2×D4—342no—
1288C2×D4—342no—
1289C2×D4—342no—
1290C2×D4—342no—
1291C2×D4—342no—
1292C2×D4—342no—
1293C2×D4—681no—
1294C2×D4—681no—
1295C2×D4—681no—
1296C2×D4—681no—
1297C2×D4—681no—
1298C2×D4—681no—
1299C2×D4—681no—
1300C2×D4—681no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—171no—
1315C22×C4—171no—
1316C22×C4—171no—
1317C22×C4—171no—
1318C22×C4—171no—
1319C22×C4—171no—
1320C22×C4—171no—
1321C22×C4—174no—
1322C22×C4—174no—
1323C22×C4—171no—
1324C22×C4—171no—
1325C22×C4—171no—
1326C22×C4—171no—
1327C22×C4—171no—
1328C22×C4—171no—
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—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—681no—
1351C22×C4—681no—
1352C22×C4—681no—
1353C22×C4—681no—
1354C22×C4—681no—
1355C22×C4—6816no—
1356C22×C4—681no—
1357C22×C4—681no—
1358C22×C4#6325214yescomplemented
1359C22×C4D4×D1714yes—
1360C22×C4C23×D1711yescharacteristic
1361C22×C4C23×D1711yescharacteristic
1362C22×C4C23×D1711yescharacteristic
1363C22×C4C23×D1711yescharacteristic
1364C22×C4C23×D1711yescharacteristic
1365C22×C4C23×D1711yescharacteristic
1366C22×C4C23×D1711yescharacteristic
1367C22×C4C23×D1711yescharacteristic
1368C22×C4C23×D1711yescharacteristic
1369C22×C4C23×D1711yescharacteristic
1370C22×C4C23×D1711yescharacteristic
1371C22×C4C23×D1711yescharacteristic
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—41no—
1376C4⋊C4—41no—
1377C4⋊C4—174no—
1378C4⋊C4—342no—
1379C4⋊C4—342no—
1380C4⋊C4—342no—
1381C4⋊C4—342no—
1382C4⋊C4—342no—
1383C4⋊C4—342no—
1384C4⋊C4—342no—
1385C4⋊C4—342no—
1386C4⋊C4—342no—
1387C4⋊C4—342no—
1388C4⋊C4—342no—
1389C4⋊C4—342no—
1390C4⋊C4—342no—
1391C4⋊C4—342no—
1392C4⋊C4—342no—
1393C4⋊C4—342no—
1394C4⋊C4—342no—
1395C4⋊C4—342no—
1396C4⋊C4—681no—
1397C4⋊C4—681no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—174no—
1409C22⋊C4—174no—
1410C22⋊C4—174no—
1411C22⋊C4—174no—
1412C22⋊C4—342no—
1413C22⋊C4—342no—
1414C22⋊C4—342no—
1415C22⋊C4—342no—
1416C22⋊C4—342no—
1417C22⋊C4—342no—
1418C22⋊C4—342no—
1419C22⋊C4—342no—
1420C22⋊C4—342no—
1421C22⋊C4—342no—
1422C22⋊C4—342no—
1423C22⋊C4—342no—
1424C22⋊C4—342no—
1425C22⋊C4—342no—
1426C22⋊C4—342no—
1427C22⋊C4—342no—
1428C22⋊C4—342no—
1429C22⋊C4—342no—
1430C22⋊C4—342no—
1431C22⋊C4—342no—
1432C22⋊C4—342no—
1433C22⋊C4—342no—
1434C22⋊C4—342no—
1435C22⋊C4—342no—
1436C22⋊C4—342no—
1437C22⋊C4—342no—
1438C22⋊C4—342no—
1439C22⋊C4—342no—
1440C22⋊C4—342no—
1441C22⋊C4—342no—
1442C22⋊C4—681no—
1443C22⋊C4—681no—
1444C22⋊C4—681no—
1445C22⋊C4—681no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—41no—
1451C42—41no—
1452C42—174no—
1453C42—342no—
1454C42—342no—
1455C42—342no—
1456C42—342no—
1457C42—342no—
1458C42—342no—
1459C42—342no—
1460C42—342no—
1461C42—342no—
1462C42—681no—
1463C42—681no—
1464C42—681no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—172no—
1484C23—172no—
1485C23—172no—
1486C23—348no—
1487C23—341no—
1488C23—341no—
1489C23—341no—
1490C23—341no—
1491C23—341no—
1492C23—341no—
1493C23—341no—
1494C23—341no—
1495C23—341no—
1496C23—341no—
1497C23—341no—
1498C23—341no—
1499C23—341no—
1500C23—341no—
1501C23—341no—
1502C23—341no—
1503C23—341no—
1504C23—341no—
1505C23—684no—
1506C23—684no—
1507C23—684no—
1508C23—684no—
1509C23—684no—
1510C23—684no—
1511C23C2×#6325212yes—
1512C23C2×D4×D1712yes—
1513C23#41×D1712yes—
1514C23C24×D1711yescharacteristic
1515Q8—684no—
1516Q8—684no—
1517D4—44no—
1518D4—44no—
1519D4—44no—
1520D4—348no—
1521D4—684no—
1522D4—684no—
1523D4—684no—
1524D4—684no—
1525D4—684no—
1526D4—684no—
1527D4—684no—
1528D4—684no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—28no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—172no—
1564C2×C4—172no—
1565C2×C4—172no—
1566C2×C4—172no—
1567C2×C4—172no—
1568C2×C4—172no—
1569C2×C4—172no—
1570C2×C4—341no—
1571C2×C4—341no—
1572C2×C4—341no—
1573C2×C4—341no—
1574C2×C4—341no—
1575C2×C4—341no—
1576C2×C4—341no—
1577C2×C4—341no—
1578C2×C4—341no—
1579C2×C4—341no—
1580C2×C4—341no—
1581C2×C4—341no—
1582C2×C4—341no—
1583C2×C4—341no—
1584C2×C4—348no—
1585C2×C4—348no—
1586C2×C4—341no—
1587C2×C4—341no—
1588C2×C4—341no—
1589C2×C4—341no—
1590C2×C4—341no—
1591C2×C4—341no—
1592C2×C4—341no—
1593C2×C4—341no—
1594C2×C4—341no—
1595C2×C4—341no—
1596C2×C4—341no—
1597C2×C4—341no—
1598C2×C4—341no—
1599C2×C4—341no—
1600C2×C4—341no—
1601C2×C4—341no—
1602C2×C4—341no—
1603C2×C4—341no—
1604C2×C4—684no—
1605C2×C4—684no—
1606C2×C4—684no—
1607C2×C4—684no—
1608C2×C4—684no—
1609C2×C4—684no—
1610C2×C4—684no—
1611C2×C4—684no—
1612C2×C4C2×#6325212yes—
1613C2×C4C2×#6325212yes—
1614C2×C4C2×D4×D1712yes—
1615C2×C4C2×D4×D1712yes—
1616C2×C4#1058769112yes—
1617C2×C4#41×D1712yes—
1618C2×C4#41×D1712yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—342no—
1640C22—342no—
1641C22—342no—
1642C22—342no—
1643C22—342no—
1644C22—342no—
1645C22—342no—
1646C22—342no—
1647C22—342no—
1648C22—6816no—
1649C22—681no—
1650C22—681no—
1651C22—681no—
1652C22—681no—
1653C22—681no—
1654C22—681no—
1655C22—681no—
1656C22—681no—
1657C22—681no—
1658C22—681no—
1659C22—681no—
1660C22—681no—
1661C22#1176335614yes—
1662C22C22×D4×D1711yescharacteristic
1663C22C2×#41×D1711yescharacteristic
1664C22C2×#41×D1711yescharacteristic
1665C22C2×#41×D1711yescharacteristic
1666C22C22×#6325211yescharacteristic
1667C22C2×#1058769111yescharacteristic
1668C22#1176364511yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—342no—
1681C4—342no—
1682C4—342no—
1683C4—342no—
1684C4—342no—
1685C4—342no—
1686C4—342no—
1687C4—681no—
1688C4—681no—
1689C4—681no—
1690C4—681no—
1691C4—681no—
1692C4—681no—
1693C4#1176344814yes—
1694C2—24no—
1695C2—81no—
1696C2—81no—
1697C2—682no—
1698C2—682no—
1699C2—682no—
1700C2C2×#1176335611yescharacteristic
1701C2#1454207711yescharacteristic
1702C2#1454219311yescharacteristic
1703C2C2×#1176344811yescharacteristic
1704C2#1454227011yescharacteristic
1705C2#1454233611yescharacteristic
1706C2#1454238611yescharacteristic
subgroupG/H
centerC22×C4C23×D17
commutator, socle, cosocleC23×C17C25
FrattiniC23C24×D17
FittingC4×C17×#121C2
hypercenterC4×#121D17
hypocenterC17#34829
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
1. C2×#11763339C2semidirect
2. C2×#11763318C2semidirect
3. #14533930C2semidirect
4. #14533915C2semidirect
5. #14533900C2semidirect
6. #14533885C2semidirect
7. #14533870C2semidirect
8. #14533858C2semidirect
9. #14533846C2semidirect
10. #14533831C2semidirect
11. #14533796C2semidirect
12. #14533746C2semidirect
13. #14533716C2semidirect
14. #14533676C2semidirect
15. #14533112C2semidirect
16. #14532912C2semidirect
17. #14532337C2semidirect
18. #14532322C2semidirect
19. #14532060C2semidirect
20. #14532047C2semidirect
21. #14532026C2semidirect
22. #14531999C2semidirect
23. C4×#10587571C2semidirect
24. C4×#10587621C2semidirect
25. C4×#10587570C2semidirect
26. C4×#10587623C2semidirect
27. #14531270C2semidirect
28. #14531247C2semidirect
29. C42×C22⋊D17C2semidirect
30. C2×C4×#63227C2semidirect
31. C4×C17×#121C2semidirect
35. C2×#10587584C22semidirect
36. C2×#10587565C22semidirect
37. C2×#10587575C22semidirect
39. C2×#10587571C22semidirect
56. C2×C4×Dic34C22semidirect
64. C2×C4×C22⋊D17C22semidirect
65. C2×#10587612C22semidirect
67. C2×#10587558C22semidirect
71. C2×C42×D17C22semidirect
72. #11762751C22semidirect
73. #11762750C22semidirect
76. #11762743C22semidirect
77. #11762742C22semidirect
78. #11762742C22semidirect
79. #11762740C22semidirect
81. #11762738C22semidirect
82. #11762737C22semidirect
83. #11762735C22semidirect
85. #11762732C22semidirect
88. #11762729C22semidirect
89. #11762729C22semidirect
96. #11762724C22semidirect
97. #11762723C22semidirect
99. #11762721C22semidirect
103. #11762717C22semidirect
104. #11762713C22semidirect
105. #11762713C22semidirect
106. #11762713C22semidirect
113. #11762706C22semidirect
114. #11762706C22semidirect
115. #11762706C22semidirect
116. #11762702C22semidirect
117. #11762702C22semidirect
123. #11762697C22semidirect
124. #11762697C22semidirect
125. #11762697C22semidirect
126. #11762697C22semidirect
127. #11762697C22semidirect
128. #11762690C22semidirect
129. #11762690C22semidirect
137. #11762685C22semidirect
138. #11762685C22semidirect
139. #11762685C22semidirect
144. #11762673C22semidirect
146. #11762668C22semidirect
148. C4×#63225C22semidirect
149. C4×#63225C22semidirect
150. C4×#63225C22semidirect
151. C4×#63225C22semidirect
152. C4×#63225C22semidirect
163. C4×#63227C22semidirect
164. C4×#63227C22semidirect
165. C4×#63227C22semidirect
169. C4×C22⋊Dic17C22semidirect
170. C4×C22⋊Dic17C22semidirect
173. C42×Dic17C22semidirect
177. C2×C4×D4×C17C22semidirect
179. C17×#390C22semidirect
180. C17×#389C22semidirect
181. C17×#388C22semidirect
182. C17×#388C22semidirect
186. C4×C4⋊C4×C17C22semidirect
187. C4×C22⋊C4×C17C22semidirect
188. C4×C22⋊C4×C17C22semidirect
276. C4×C22⋊D17D4semidirect
427. C22×C4×C17#41semidirect
551. C22⋊Dic17#41semidirect
576. #63227#41semidirect
791. C4×#121D17semidirect
908. C2×C4×D4C2×D17semidirect
958. #390C2×D17semidirect
962. #389C2×D17semidirect
975. #388C2×D17semidirect
976. #388C2×D17semidirect
1005. C4×C4⋊C4C2×D17semidirect
1024. C4×C22⋊C4C2×D17semidirect
1025. C4×C22⋊C4C2×D17semidirect
1244. C17#34829semidirect
1358. C22×C4#63252semidirect

Maximal subgroups

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

subgroupindex
C2×#117633392
C2×#117633182
#145339302
#145339152
#145339002
#145338852
#145338702
#145338582
#145338462
#145338312
#145337962
#145337462
#145337162
#145336762
#145331122
#145329122
#145323372
#145323222
#145320602
#145320472
#145320262
#145319992
C4×#105875712
C4×#105876212
C4×#105875702
C4×#105876232
#145312702
#145312472
C42×C22⋊D172
C2×C4×#632272
C4×C17×#1212
#3482917