Finite Group Databasebeta

← #17203007

Subgroups — #17203007

Order 4352.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763318C211yesmaximal, characteristic, complemented
2C2×C4×#63254C211yesmaximal, characteristic, complemented
3#14532991C211yesmaximal, characteristic, complemented
4#14532976C211yesmaximal, characteristic, complemented
5#14532901C211yesmaximal, characteristic, complemented
6#14532886C211yesmaximal, characteristic, complemented
7#14532811C211yesmaximal, characteristic, complemented
8#14532796C211yesmaximal, characteristic, complemented
9#14532712C211yesmaximal, characteristic, complemented
10#14532697C211yesmaximal, characteristic, complemented
11#14532614C211yesmaximal, characteristic, complemented
12#14532540C211yesmaximal, characteristic, complemented
13#14532466C211yesmaximal, characteristic, complemented
14#14532390C211yesmaximal, characteristic, complemented
15#14532326C211yesmaximal, characteristic, complemented
16#14532252C211yesmaximal, characteristic, complemented
17#14532172C211yesmaximal, characteristic, complemented
18#14532102C211yesmaximal, characteristic, complemented
19#14532071C211yesmaximal, characteristic, complemented
20#14532060C211yesmaximal, characteristic, complemented
21#14532028C211yesmaximal, characteristic, complemented
22#14531999C211yesmaximal, characteristic, complemented
23C4×#10587580C211yesmaximal, characteristic, complemented
24C4×#10587621C211yesmaximal, characteristic, complemented
25C4×#10587625C211yesmaximal, characteristic, complemented
26C4×#10587623C211yesmaximal, characteristic, complemented
27#14531270C211yesmaximal, characteristic, complemented
28#14531227C211yesmaximal, characteristic, complemented
29#14531223C211yesmaximal, characteristic, complemented
30C2×C4×#63227C211yesmaximal, characteristic, complemented
31C4×C17×#121C211yesmaximal, characteristic, complemented
32C22×#63252C2211yescharacteristic
33C22×#63254C2211yescharacteristic
34C23×C4×D17C2211yescharacteristic
35#11763318—28no—
36C2×#10587580C2211yescharacteristic
37C2×#10587580C2211yescharacteristic
38C2×#10587569C2211yescharacteristic
39C2×#10587621C2211yescharacteristic
40C2×#10587582C2211yescharacteristic
41C2×#10587564C2211yescharacteristic
42C2×#10587570C2211yescharacteristic
43C2×#10587625C2211yescharacteristic
44C2×#10587625C2211yescharacteristic
45C2×#10587568C2211yescharacteristic
46C2×#10587623C2211yescharacteristic
47C2×#10587623C2211yescharacteristic
48C4×#63254—28no—
49C2×C4×Dic34C2211yescharacteristic, complemented
50C2×#10587573C2211yescharacteristic, complemented
51C2×C4×D68C2211yescharacteristic
52C2×D4×Dic17C2211yescharacteristic
53C2×C4×C22⋊D17C2211yescharacteristic
54C2×C4×C22⋊D17C2211yescharacteristic
55C2×C4×C22⋊D17C2211yescharacteristic
56C2×C4×C22⋊D17C2211yescharacteristic
57C2×C4×C22⋊D17C2211yescharacteristic, complemented
58C2×#10587567C2211yescharacteristic
59C2×#10587567C2211yescharacteristic, complemented
60C2×#10587578C2211yescharacteristic, complemented
61C2×#10587558C2211yescharacteristic
62C2×#10587558C2211yescharacteristic, complemented
63C2×#10587563C2211yescharacteristic
64C2×#10587563C2211yescharacteristic, complemented
65C22×#63227C2211yescharacteristic
66C22×#63227C2211yescharacteristic
67C22×C4×Dic17C2211yescharacteristic
68C22×C4×Dic17C2211yescharacteristic, complemented
69C2×C42×D17C2211yescharacteristic, complemented
70#11762751C2211yescharacteristic, complemented
71#11762750C2211yescharacteristic, complemented
72#11762750C2211yescharacteristic, complemented
73#11762744C2211yescharacteristic
74#11762743C2211yescharacteristic, complemented
75#11762743C2211yescharacteristic, complemented
76#11762740C2211yescharacteristic, complemented
77#11762738C2211yescharacteristic
78#11762738C2211yescharacteristic, complemented
79#11762737C2211yescharacteristic, complemented
80#11762733C2211yescharacteristic
81#11762733C2211yescharacteristic
82#11762732C2211yescharacteristic, complemented
83#11762731C2211yescharacteristic
84#11762729C2211yescharacteristic, complemented
85#11762729C2211yescharacteristic, complemented
86#11762727C2211yescharacteristic
87#11762726C2211yescharacteristic
88#11762725C2211yescharacteristic
89#11762724C2211yescharacteristic
90#11762724C2211yescharacteristic
91#11762724C2211yescharacteristic
92#11762724C2211yescharacteristic, complemented
93#11762724C2211yescharacteristic, complemented
94#11762722C2211yescharacteristic
95#11762722C2211yescharacteristic
96#11762721C2211yescharacteristic, complemented
97#11762721C2211yescharacteristic, complemented
98#11762718C2211yescharacteristic
99#11762718C2211yescharacteristic
100#11762717C2211yescharacteristic
101#11762717C2211yescharacteristic, complemented
102#11762713C2211yescharacteristic, complemented
103#11762713C2211yescharacteristic, complemented
104#11762709C2211yescharacteristic
105#11762709C2211yescharacteristic
106#11762709C2211yescharacteristic
107#11762704C2211yescharacteristic, complemented
108#11762703C2211yescharacteristic, complemented
109#11762700C2211yescharacteristic, complemented
110#11762700C2211yescharacteristic, complemented
111#11762699C2211yescharacteristic
112#11762699C2211yescharacteristic
113#11762698C2211yescharacteristic
114#11762698C2211yescharacteristic
115#11762698C2211yescharacteristic
116#11762697C2211yescharacteristic, complemented
117#11762697C2211yescharacteristic, complemented
118#11762696C2211yescharacteristic, complemented
119#11762695C2211yescharacteristic, complemented
120#11762693C2211yescharacteristic, complemented
121#11762693C2211yescharacteristic, complemented
122#11762691C2211yescharacteristic, complemented
123#11762691C2211yescharacteristic, complemented
124#11762690C2211yescharacteristic, complemented
125#11762690C2211yescharacteristic, complemented
126#11762689C2211yescharacteristic
127#11762689C2211yescharacteristic
128#11762689C2211yescharacteristic, complemented
129#11762688C2211yescharacteristic
130#11762688C2211yescharacteristic
131#11762687C2211yescharacteristic
132#11762687C2211yescharacteristic
133#11762687C2211yescharacteristic
134#11762686C2211yescharacteristic
135#11762686C2211yescharacteristic
136#11762686C2211yescharacteristic
137#11762685C2211yescharacteristic
138#11762685C2211yescharacteristic
139#11762685C2211yescharacteristic, complemented
140#11762685C2211yescharacteristic, complemented
141#11762682C2211yescharacteristic
142#11762682C2211yescharacteristic
143#11762681C2211yescharacteristic
144#11762681C2211yescharacteristic
145#11762681C2211yescharacteristic, complemented
146#11762681C2211yescharacteristic, complemented
147#11762680C2211yescharacteristic
148#11762680C2211yescharacteristic
149#11762680C2211yescharacteristic, complemented
150#11762671C2211yescharacteristic, complemented
151#11762670C2211yescharacteristic
152#11762667C2211yescharacteristic, complemented
153#11762664C2211yescharacteristic
154C4×#63225C2211yescharacteristic, complemented
155C4×#63225C2211yescharacteristic, complemented
156C4×#63225C2211yescharacteristic, complemented
157C4×#63227C2211yescharacteristic
158C4×#63227C2211yescharacteristic
159C4×#63227C2211yescharacteristic
160C4×#63227C2211yescharacteristic
161C4×#63227C2211yescharacteristic
162C4×#63227C2211yescharacteristic
163C4×#63227C2211yescharacteristic
164C4×#63227C2211yescharacteristic
165C4×#63227C2211yescharacteristic
166C4×#63227C2211yescharacteristic
167C4×#63227C2211yescharacteristic, complemented
168C4×C22⋊Dic17C2211yescharacteristic
169C4×C22⋊Dic17C2211yescharacteristic, complemented
170C4×C22⋊Dic17C2211yescharacteristic, complemented
171#11762655C2211yescharacteristic, complemented
172C2×#10587502C2211yescharacteristic
173C2×#10587502C2211yescharacteristic
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
208C23×Dic17C2311yescharacteristic
209C23×Dic17C2311yescharacteristic
210C2×#63254—24no—
211C2×#63254—24no—
212C2×#63254—24no—
213C2×#63252—24no—
214C2×#63252—24no—
215C2×#63252—42no—
216C22×D68C2311yescharacteristic
217C22×D68C2311yescharacteristic
218C22×C4×D17—24no—
219C22×C4×D17—24no—
220C22×C4×D17—42no—
221C22×C4×D17C2311yescharacteristic
222C22×C4×D17C2311yescharacteristic
223C22×C4×D17C2311yescharacteristic
224C22×C4×D17C2311yescharacteristic
225C22×C4×D17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×C4×D17C2311yescharacteristic
228C22×Dic34C2311yescharacteristic
229C22×Dic34C2311yescharacteristic
230C17×#121—24no—
231C4×D4×C17—24no—
232C4×D4×C17—24no—
233C4×D4×C17—42no—
234C2×C4⋊C4×C17C2311yescharacteristic
235C2×C4⋊C4×C17C2311yescharacteristic
236C2×C4⋊C4×C17C2311yescharacteristic
237C2×C4⋊C4×C17C2311yescharacteristic
238C2×C4⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C22⋊C4×C17C2311yescharacteristic
246C2×C22⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C42×C17—42no—
250C2×C42×C17C2311yescharacteristic
251C2×C42×C17C2311yescharacteristic
252C2×C42×C17C2311yescharacteristic
253C2×C42×C17C2311yescharacteristic
254C2×C42×C17C2311yescharacteristic
255C2×C42×C17C2311yescharacteristic
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
267#10587625—24no—
268#10587625—24no—
269#10587623—24no—
270#10587623—24no—
271#10587621—24no—
272D4×Dic17—24no—
273C4×C22⋊D17—24no—
274C4×C22⋊D17—24no—
275C4×C22⋊D17—24no—
276C4×C22⋊D17—42no—
277C4×C22⋊D17D418yescomplemented
278C2×#63227—24no—
279C2×#63227—24no—
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
304C2×#63227C2311yescharacteristic
305C2×C4⋊Dic17C2311yescharacteristic
306C2×C4⋊Dic17C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
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×C4×Dic17—24no—
325C2×C4×Dic17—24no—
326C2×C4×Dic17C2311yescharacteristic
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
337#10587582—24no—
338#10587580—24no—
339#10587580—24no—
340#10587578—24no—
341#10587573—24no—
342#10587570—24no—
343#10587569—24no—
344#10587568—24no—
345#10587567—24no—
346#10587567—24no—
347#10587564—24no—
348#10587563—24no—
349#10587563—24no—
350C4×D68—24no—
351#10587558—24no—
352#10587558—42no—
353C42×D17—24no—
354C4×Dic34—24no—
355C17×#95C2311yescharacteristic
356C17×#95C2311yescharacteristic
357C17×#95C2311yescharacteristic
358C17×#95C2311yescharacteristic
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
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#4114yescomplemented
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—22no—
424C22×C4×C17—41no—
425C22×C4×C17—41no—
426C22×C4×C17—41no—
427C22×C4×C17C2×D414yes—
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—22no—
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—22no—
469C22×Dic17—22no—
470C22×Dic17—22no—
471C22×Dic17—22no—
472C22×Dic17—41no—
473C22×Dic17—41no—
474C22×Dic17—41no—
475C22×Dic17#4114yescomplemented
476C22×Dic17C2411yescharacteristic
477C22×Dic17C2411yescharacteristic
478C22×Dic17C2411yescharacteristic
479C22×Dic17C2411yescharacteristic
480C22×Dic17C2411yescharacteristic
481C22×Dic17C2411yescharacteristic
482C22×Dic17C2411yescharacteristic
483C22×Dic17C2411yescharacteristic
484C22×Dic17C2411yescharacteristic
485C22×Dic17C2411yescharacteristic
486C22×Dic17C2411yescharacteristic
487C22×Dic17C2411yescharacteristic
488C22×Dic17C2411yescharacteristic
489#63254—232no—
490#63252—416no—
491C2×D68—22no—
492C2×D68—22no—
493C2×D68—22no—
494C2×D68—22no—
495C2×D68—41no—
496C2×D68—41no—
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—22no—
505C2×C4×D17—22no—
506C2×C4×D17—22no—
507C2×C4×D17—22no—
508C2×C4×D17—22no—
509C2×C4×D17—22no—
510C2×C4×D17—22no—
511C2×C4×D17—22no—
512C2×C4×D17—22no—
513C2×C4×D17—416no—
514C2×C4×D17—41no—
515C2×C4×D17—41no—
516C2×C4×D17—41no—
517C2×C4×D17C2×D414yes—
518C2×C4×D17#4114yescomplemented
519C2×Dic34—22no—
520C2×Dic34—22no—
521C2×Dic34—22no—
522C2×Dic34—22no—
523C2×Dic34—22no—
524C2×Dic34—41no—
525C4⋊C4×C17—22no—
526C4⋊C4×C17—22no—
527C4⋊C4×C17—22no—
528C4⋊C4×C17—22no—
529C4⋊C4×C17—41no—
530C22⋊C4×C17—22no—
531C22⋊C4×C17—22no—
532C22⋊C4×C17—22no—
533C22⋊C4×C17—22no—
534C22⋊C4×C17—22no—
535C22⋊C4×C17—22no—
536C22⋊C4×C17—41no—
537C22⋊C4×C17—41no—
538C22⋊C4×C17—41no—
539C22⋊C4×C17—41no—
540C42×C17—22no—
541C42×C17—22no—
542C42×C17—22no—
543C42×C17—22no—
544C42×C17—41no—
545C42×C17—41no—
546C22⋊Dic17—22no—
547C22⋊Dic17—22no—
548C22⋊Dic17—22no—
549C22⋊Dic17—22no—
550C22⋊Dic17—22no—
551C22⋊Dic17—22no—
552C22⋊Dic17—22no—
553C22⋊Dic17—22no—
554C22⋊Dic17—41no—
555C22⋊Dic17—41no—
556C22⋊Dic17C2×D414yes—
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—22no—
574#63227—22no—
575#63227—41no—
576#63227—41no—
577#63227—41no—
578#63227—41no—
579#63227—41no—
580#63227C2×D414yes—
581#63227#4114yescomplemented
582C4⋊Dic17—22no—
583C4⋊Dic17—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#63225—41no—
598#63225—41no—
599#63225—41no—
600#63225C2×D414yes—
601C4×Dic17—22no—
602C4×Dic17—22no—
603C4×Dic17—22no—
604C4×Dic17—22no—
605C4×Dic17—22no—
606C4×Dic17—22no—
607C4×Dic17—22no—
608C4×Dic17—22no—
609C4×Dic17—22no—
610C4×Dic17—22no—
611C4×Dic17C2×D414yes—
612#34732—171nomaximal, Sylow
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×C17C2×#4112yes—
634C23×C17C2511yescharacteristic
635C22×D17—28no—
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—21no—
654C22×D17—44no—
655C22×D17—44no—
656C22×D17—44no—
657C22×D17—44no—
658C22×D17—44no—
659C22×D17—44no—
660C22×D17C22×D412yes—
661C22×D17C2×#4112yes—
662C22×D17C2×#4112yes—
663D4×C17—28no—
664D4×C17—44no—
665D4×C17—44no—
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—28no—
673C2×C4×C17—21no—
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—21no—
696C2×C4×C17—21no—
697C2×C4×C17—44no—
698C2×C4×C17—44no—
699C2×C4×C17—44no—
700C2×C4×C17—44no—
701C2×C4×C17C22×D412yes—
702C2×C4×C17C22×D412yes—
703C2×C4×C17C2×#4112yes—
704C2×C4×C17C2×#4112yes—
705C2×C4×C17C2×#4112yes—
706C2×C4×C17H(5,𝔽2)12yes—
707C22⋊D17—28no—
708C22⋊D17—28no—
709C22⋊D17—44no—
710C22⋊D17—44no—
711C22⋊D17—44no—
712C22⋊D17—44no—
713C22⋊D17—44no—
714C2×Dic17—28no—
715C2×Dic17—28no—
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—21no—
746C2×Dic17—21no—
747C2×Dic17—21no—
748C2×Dic17—44no—
749C2×Dic17—44no—
750C2×Dic17—44no—
751C2×Dic17C22×D412yes—
752C2×Dic17C22×D412yes—
753C2×Dic17C22×D412yes—
754C2×Dic17C2×#4112yes—
755C2×Dic17C2×#4112yes—
756C2×Dic17C2×#4112yes—
757C2×Dic17C2×#4112yes—
758D68—44no—
759D68—44no—
760C4×D17—28no—
761C4×D17—28no—
762C4×D17—28no—
763C4×D17—44no—
764C4×D17—44no—
765C4×D17—44no—
766C4×D17—44no—
767Dic34—28no—
768Dic34—44no—
769C2×#525—171no—
770C2×C4×#41—171no—
771#2477—171no—
772#2476—171no—
773#2471—171no—
774#2470—171no—
775#2465—171no—
776#2464—171no—
777#2458—171no—
778#2457—171no—
779#2450—171no—
780#2444—171no—
781#2438—171no—
782#2430—171no—
783#2424—171no—
784#2418—171no—
785#2411—171no—
786#2404—171no—
787#2398—171no—
788#2396—171no—
789#2392—171no—
790#2388—171no—
791C4×#123—171no—
792C4×#123—171no—
793C4×#121—171no—
794C4×#121D1711yescharacteristic, complemented
795C4×#120—171no—
796#2297—171no—
797#2290—171no—
798#2290—171no—
799C2×C4×C22⋊C4—171no—
800C22×C17—22no—
801C22×C17—22no—
802C22×C17—22no—
803C22×C17—22no—
804C22×C17—22no—
805C22×C17—22no—
806C22×C17—22no—
807C22×C17—22no—
808C22×C17—22no—
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—41no—
818C22×C17—41no—
819C22×C17—41no—
820C22×C17#52514yes—
821C22×C17C23×D411yescharacteristic
822C22×C17C22×#4111yescharacteristic
823C22×C17C22×#4111yescharacteristic
824C22×C17C22×#4111yescharacteristic
825C22×C17C22×#4111yescharacteristic
826C22×C17C2×H(5,𝔽2)11yescharacteristic
827C22×C17#58511yescharacteristic
828C2×D17—22no—
829C2×D17—22no—
830C2×D17—22no—
831C2×D17—22no—
832C2×D17—22no—
833C2×D17—22no—
834C2×D17—22no—
835C2×D17—22no—
836C2×D17—22no—
837C2×D17—416no—
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—
847C2×D17—41no—
848C2×D17—41no—
849C2×D17—41no—
850C4×C17—22no—
851C4×C17—22no—
852C4×C17—22no—
853C4×C17—41no—
854C4×C17—41no—
855C4×C17—41no—
856C4×C17—41no—
857C4×C17—41no—
858C4×C17—41no—
859C4×C17—41no—
860C4×C17—41no—
861C4×C17#54614yes—
862Dic17—22no—
863Dic17—22no—
864Dic17—22no—
865Dic17—22no—
866Dic17—22no—
867Dic17—22no—
868Dic17—22no—
869Dic17—41no—
870Dic17—41no—
871Dic17—41no—
872Dic17—41no—
873Dic17—41no—
874Dic17—41no—
875C22×#41—171no—
876C22×#41—171no—
877C24×C4—171no—
878#525—348no—
879C2×#123—171no—
880C2×#123—171no—
881C2×#123—171no—
882C2×#123—171no—
883C2×C22⋊Q8—171no—
884C2×C22⋊Q8—171no—
885C2×#121—171no—
886C2×#121—171no—
887C2×#121—171no—
888C2×#121C2×D1711yescharacteristic
889C2×#120—171no—
890C2×#120—171no—
891C2×#120—171no—
892C4×#41—348no—
893C2×C4×Q8—171no—
894C2×C4×Q8—171no—
895C2×C4×D4—171no—
896C2×C4×D4—171no—
897C2×C4×D4—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×D4C2×D1711yescharacteristic
905C2×C4×D4C2×D1711yescharacteristic
906C2×C4×D4C2×D1711yescharacteristic, complemented
907C2×#117—171no—
908C2×#117—171no—
909C2×#117—171no—
910C2×#117—171no—
911C2×#117—171no—
912C22×C22⋊C4—171no—
913C22×C22⋊C4—171no—
914C22×C42—171no—
915C22×C42—171no—
916C22×C42—171no—
917C22×C42C2×D1711yescharacteristic
918#400—171no—
919#400—171no—
920#400—171no—
921#399—171no—
922#398—171no—
923#398—171no—
924#398—171no—
925#397—171no—
926#397—171no—
927#397—171no—
928#396—171no—
929#396—171no—
930#396—171no—
931#396—171no—
932#395—171no—
933#395—171no—
934#394—171no—
935#394—171no—
936#394—171no—
937#394—171no—
938#394—171no—
939#394—171no—
940#394—171no—
941#394—171no—
942#393—171no—
943#393—171no—
944#393—171no—
945#393—171no—
946#392—171no—
947#392—171no—
948#392—171no—
949#392—171no—
950#391—171no—
951#391—171no—
952#390—171no—
953#390—171no—
954#390—171no—
955#390C2×D1711yescharacteristic, complemented
956#389—171no—
957#389C2×D1711yescharacteristic, complemented
958#388—171no—
959#388—171no—
960#388—171no—
961#388—171no—
962#388—171no—
963#388—171no—
964#388—171no—
965#388—171no—
966#388—171no—
967#388—171no—
968#388C2×D1711yescharacteristic, complemented
969#388C2×D1711yescharacteristic, complemented
970#387—171no—
971#387—171no—
972#387—171no—
973#387—171no—
974#387—171no—
975#387—171no—
976#387—171no—
977#387—171no—
978#386—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#386—171no—
990#386—171no—
991#386—171no—
992#386—171no—
993#386C2×D1711yescharacteristic
994#386C2×D1711yescharacteristic
995#385—171no—
996#385—171no—
997#385—171no—
998#385—171no—
999#385—171no—
1000#385—171no—
1001#385—171no—
1002#385—171no—
1003#385—171no—
1004#381—171no—
1005#381—171no—
1006#380—171no—
1007#380C2×D1711yescharacteristic
1008#379—171no—
1009C4×C4⋊C4—171no—
1010C4×C4⋊C4—171no—
1011C4×C4⋊C4—171no—
1012C4×C4⋊C4C2×D1711yescharacteristic, complemented
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⋊C4—171no—
1025C4×C22⋊C4—171no—
1026C4×C22⋊C4—171no—
1027C4×C22⋊C4C2×D1711yescharacteristic, complemented
1028C4×C22⋊C4C2×D1711yescharacteristic, complemented
1029#376—171no—
1030C2×#95—171no—
1031C2×#95—171no—
1032C2×C17—24no—
1033C2×C17—42no—
1034C2×C17—81no—
1035C2×C17C2×#52511yescharacteristic
1036C2×C17#344411yescharacteristic
1037C2×C17#346011yescharacteristic
1038C2×C17C2×#54611yescharacteristic
1039C2×C17D4×#4111yescharacteristic
1040C2×C17#347511yescharacteristic
1041C2×C17#348111yescharacteristic
1042D17—42no—
1043D17—42no—
1044D17—42no—
1045C25—171no—
1046C2×#41—344no—
1047C2×#41—344no—
1048C2×#41—344no—
1049C2×#41—344no—
1050C2×#41—344no—
1051C2×#41—682no—
1052C22×Q8—171no—
1053C22×Q8—171no—
1054C22×D4—171no—
1055C22×D4—171no—
1056C22×D4—171no—
1057C22×D4—171no—
1058C22×D4—171no—
1059C22×D4—171no—
1060C22×D4—171no—
1061C22×D4—171no—
1062C22×D4—171no—
1063C22×D4C22×D1711yescharacteristic
1064C22×D4C22×D1711yescharacteristic
1065C22×D4C22×D1711yescharacteristic
1066C23×C4—171no—
1067C23×C4—171no—
1068C23×C4—171no—
1069C23×C4—171no—
1070C23×C4—171no—
1071C23×C4—171no—
1072C23×C4—171no—
1073C23×C4—171no—
1074C23×C4—171no—
1075C23×C4—171no—
1076C23×C4—171no—
1077C23×C4—171no—
1078C23×C4—344no—
1079C23×C4—344no—
1080C23×C4—682no—
1081C23×C4C22×D1711yescharacteristic
1082C23×C4C22×D1711yescharacteristic
1083C23×C4C22×D1711yescharacteristic
1084C23×C4C22×D1711yescharacteristic
1085C23×C4C22×D1711yescharacteristic
1086#123—344no—
1087#123—344no—
1088#123—344no—
1089#123—344no—
1090C22⋊Q8—344no—
1091C22⋊Q8—344no—
1092#121—24no—
1093#121—344no—
1094#121—344no—
1095#121—344no—
1096#120—344no—
1097#120—344no—
1098#120—344no—
1099C4×Q8—344no—
1100C4×Q8—344no—
1101C4×D4—24no—
1102C4×D4—24no—
1103C4×D4—42no—
1104C4×D4—178no—
1105C4×D4—344no—
1106C4×D4—344no—
1107C4×D4—344no—
1108C4×D4—344no—
1109C4×D4—344no—
1110C4×D4—344no—
1111C4×D4—344no—
1112C4×D4—682no—
1113#117—344no—
1114#117—344no—
1115#117—344no—
1116#117—344no—
1117#117—682no—
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⋊C4—171no—
1136C2×C4⋊C4—171no—
1137C2×C4⋊C4C22×D1711yescharacteristic
1138C2×C4⋊C4C22×D1711yescharacteristic
1139C2×C4⋊C4C22×D1711yescharacteristic
1140C2×C4⋊C4C22×D1711yescharacteristic
1141C2×C4⋊C4C22×D1711yescharacteristic
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—344no—
1203C2×C42—344no—
1204C2×C42—344no—
1205C2×C42C22×D1711yescharacteristic
1206C2×C42C22×D1711yescharacteristic
1207C2×C42C22×D1711yescharacteristic
1208C2×C42C22×D1711yescharacteristic
1209C2×C42C22×D1711yescharacteristic
1210C2×C42C22×D1711yescharacteristic
1211#95—171no—
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#95—171no—
1239#95—171no—
1240#95—171no—
1241#95C22×D1711yescharacteristic
1242#95C22×D1711yescharacteristic
1243#95C22×D1711yescharacteristic
1244#95C22×D1711yescharacteristic
1245#95C22×D1711yescharacteristic
1246#95C22×D1711yescharacteristic
1247C17#3473211yescharacteristic, complemented, Sylow
1248C24—171no—
1249C24—171no—
1250C24—171no—
1251C24—342no—
1252C24—342no—
1253C24—342no—
1254C24—342no—
1255C24—342no—
1256C24—681no—
1257C24—681no—
1258C24C23×D1711yescharacteristic
1259C24C23×D1711yescharacteristic
1260C24C23×D1711yescharacteristic
1261#41—3432no—
1262#41—6816no—
1263C2×Q8—342no—
1264C2×Q8—342no—
1265C2×Q8—342no—
1266C2×Q8—342no—
1267C2×Q8—342no—
1268C2×Q8—681no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—41no—
1277C2×D4—174no—
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—342no—
1294C2×D4—342no—
1295C2×D4—342no—
1296C2×D4—342no—
1297C2×D4—681no—
1298C2×D4—681no—
1299C2×D4—681no—
1300C2×D4—681no—
1301C2×D4—681no—
1302C2×D4—681no—
1303C2×D4—681no—
1304C2×D4#6325214yescomplemented
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—174no—
1320C22×C4—171no—
1321C22×C4—171no—
1322C22×C4—171no—
1323C22×C4—171no—
1324C22×C4—171no—
1325C22×C4—171no—
1326C22×C4—171no—
1327C22×C4—174no—
1328C22×C4—174no—
1329C22×C4—171no—
1330C22×C4—171no—
1331C22×C4—171no—
1332C22×C4—171no—
1333C22×C4—171no—
1334C22×C4—171no—
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—342no—
1351C22×C4—342no—
1352C22×C4—342no—
1353C22×C4—342no—
1354C22×C4—342no—
1355C22×C4—342no—
1356C22×C4—342no—
1357C22×C4—342no—
1358C22×C4—342no—
1359C22×C4—342no—
1360C22×C4—342no—
1361C22×C4—342no—
1362C22×C4—681no—
1363C22×C4—681no—
1364C22×C4—681no—
1365C22×C4—6816no—
1366C22×C4—681no—
1367C22×C4—681no—
1368C22×C4—681no—
1369C22×C4D4×D1714yes—
1370C22×C4C23×D1711yescharacteristic
1371C22×C4C23×D1711yescharacteristic
1372C22×C4C23×D1711yescharacteristic
1373C22×C4C23×D1711yescharacteristic
1374C22×C4C23×D1711yescharacteristic
1375C22×C4C23×D1711yescharacteristic
1376C22×C4C23×D1711yescharacteristic
1377C22×C4C23×D1711yescharacteristic
1378C22×C4C23×D1711yescharacteristic
1379C22×C4C23×D1711yescharacteristic
1380C22×C4C23×D1711yescharacteristic
1381C22×C4C23×D1711yescharacteristic
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—41no—
1387C4⋊C4—174no—
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—342no—
1397C4⋊C4—342no—
1398C4⋊C4—342no—
1399C4⋊C4—342no—
1400C4⋊C4—342no—
1401C4⋊C4—681no—
1402C4⋊C4—681no—
1403C4⋊C4—681no—
1404C4⋊C4—681no—
1405C4⋊C4—681no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—174no—
1417C22⋊C4—174no—
1418C22⋊C4—174no—
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—342no—
1443C22⋊C4—342no—
1444C22⋊C4—342no—
1445C22⋊C4—681no—
1446C22⋊C4—681no—
1447C22⋊C4—681no—
1448C22⋊C4—681no—
1449C22⋊C4—681no—
1450C22⋊C4—681no—
1451C22⋊C4—681no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—41no—
1457C42—41no—
1458C42—174no—
1459C42—342no—
1460C42—342no—
1461C42—342no—
1462C42—342no—
1463C42—342no—
1464C42—342no—
1465C42—342no—
1466C42—342no—
1467C42—342no—
1468C42—342no—
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—21no—
1484C23—21no—
1485C23—21no—
1486C23—172no—
1487C23—172no—
1488C23—172no—
1489C23—348no—
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—341no—
1506C23—341no—
1507C23—341no—
1508C23—684no—
1509C23—684no—
1510C23—684no—
1511C23—684no—
1512C23—684no—
1513C23—684no—
1514C23C2×#6325212yes—
1515C23C2×#6325212yes—
1516C23C2×D4×D1712yes—
1517C23#41×D1712yes—
1518C23C24×D1711yescharacteristic
1519Q8—348no—
1520Q8—684no—
1521D4—28no—
1522D4—44no—
1523D4—44no—
1524D4—348no—
1525D4—348no—
1526D4—684no—
1527D4—684no—
1528D4—684no—
1529D4—684no—
1530D4—684no—
1531D4—684no—
1532D4—684no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—28no—
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—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—172no—
1569C2×C4—172no—
1570C2×C4—172no—
1571C2×C4—172no—
1572C2×C4—172no—
1573C2×C4—172no—
1574C2×C4—172no—
1575C2×C4—348no—
1576C2×C4—348no—
1577C2×C4—348no—
1578C2×C4—341no—
1579C2×C4—341no—
1580C2×C4—341no—
1581C2×C4—341no—
1582C2×C4—341no—
1583C2×C4—341no—
1584C2×C4—341no—
1585C2×C4—341no—
1586C2×C4—341no—
1587C2×C4—341no—
1588C2×C4—341no—
1589C2×C4—341no—
1590C2×C4—341no—
1591C2×C4—341no—
1592C2×C4—348no—
1593C2×C4—348no—
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—341no—
1605C2×C4—341no—
1606C2×C4—341no—
1607C2×C4—341no—
1608C2×C4—341no—
1609C2×C4—341no—
1610C2×C4—341no—
1611C2×C4—341no—
1612C2×C4—684no—
1613C2×C4—684no—
1614C2×C4—684no—
1615C2×C4—684no—
1616C2×C4—684no—
1617C2×C4—684no—
1618C2×C4—684no—
1619C2×C4C2×#6325212yes—
1620C2×C4C2×D4×D1712yes—
1621C2×C4C2×D4×D1712yes—
1622C2×C4#1058769112yes—
1623C2×C4#41×D1712yes—
1624C2×C4#41×D1712yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—342no—
1646C22—342no—
1647C22—342no—
1648C22—342no—
1649C22—342no—
1650C22—342no—
1651C22—342no—
1652C22—342no—
1653C22—342no—
1654C22—6816no—
1655C22—681no—
1656C22—681no—
1657C22—681no—
1658C22—681no—
1659C22—681no—
1660C22—681no—
1661C22—681no—
1662C22—681no—
1663C22—681no—
1664C22—681no—
1665C22—681no—
1666C22—681no—
1667C22#1176331814yes—
1668C22C22×D4×D1711yescharacteristic
1669C22C2×#41×D1711yescharacteristic
1670C22C2×#41×D1711yescharacteristic
1671C22C2×#41×D1711yescharacteristic
1672C22C22×#6325211yescharacteristic
1673C22C2×#1058769111yescharacteristic
1674C22#1176364511yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—342no—
1687C4—342no—
1688C4—342no—
1689C4—342no—
1690C4—342no—
1691C4—342no—
1692C4—342no—
1693C4—681no—
1694C4—681no—
1695C4—681no—
1696C4—681no—
1697C4—681no—
1698C4—681no—
1699C4#1176344814yes—
1700C2—24no—
1701C2—42no—
1702C2—81no—
1703C2—682no—
1704C2—682no—
1705C2—682no—
1706C2C2×#1176331811yescharacteristic
1707C2#1454207811yescharacteristic
1708C2#1454220211yescharacteristic
1709C2C2×#1176344811yescharacteristic
1710C2#1454227011yescharacteristic
1711C2#1454234611yescharacteristic
1712C2#1454238811yescharacteristic
subgroupG/H
centerC22×C4C23×D17
commutator, socle, cosocleC23×C17C25
FrattiniC23C24×D17
FittingC4×C17×#121C2
hypercenterC4×#121D17
hypocenterC17#34732
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×#11763318C2semidirect
2. C2×C4×#63254C2semidirect
3. #14532991C2semidirect
4. #14532976C2semidirect
5. #14532901C2semidirect
6. #14532886C2semidirect
7. #14532811C2semidirect
8. #14532796C2semidirect
9. #14532712C2semidirect
10. #14532697C2semidirect
11. #14532614C2semidirect
12. #14532540C2semidirect
13. #14532466C2semidirect
14. #14532390C2semidirect
15. #14532326C2semidirect
16. #14532252C2semidirect
17. #14532172C2semidirect
18. #14532102C2semidirect
19. #14532071C2semidirect
20. #14532060C2semidirect
21. #14532028C2semidirect
22. #14531999C2semidirect
23. C4×#10587580C2semidirect
24. C4×#10587621C2semidirect
25. C4×#10587625C2semidirect
26. C4×#10587623C2semidirect
27. #14531270C2semidirect
28. #14531227C2semidirect
29. #14531223C2semidirect
30. C2×C4×#63227C2semidirect
31. C4×C17×#121C2semidirect
49. C2×C4×Dic34C22semidirect
50. C2×#10587573C22semidirect
57. C2×C4×C22⋊D17C22semidirect
59. C2×#10587567C22semidirect
60. C2×#10587578C22semidirect
62. C2×#10587558C22semidirect
64. C2×#10587563C22semidirect
68. C22×C4×Dic17C22semidirect
69. C2×C42×D17C22semidirect
70. #11762751C22semidirect
71. #11762750C22semidirect
72. #11762750C22semidirect
74. #11762743C22semidirect
75. #11762743C22semidirect
76. #11762740C22semidirect
78. #11762738C22semidirect
79. #11762737C22semidirect
82. #11762732C22semidirect
84. #11762729C22semidirect
85. #11762729C22semidirect
92. #11762724C22semidirect
93. #11762724C22semidirect
96. #11762721C22semidirect
97. #11762721C22semidirect
101. #11762717C22semidirect
102. #11762713C22semidirect
103. #11762713C22semidirect
107. #11762704C22semidirect
108. #11762703C22semidirect
109. #11762700C22semidirect
110. #11762700C22semidirect
116. #11762697C22semidirect
117. #11762697C22semidirect
118. #11762696C22semidirect
119. #11762695C22semidirect
120. #11762693C22semidirect
121. #11762693C22semidirect
122. #11762691C22semidirect
123. #11762691C22semidirect
124. #11762690C22semidirect
125. #11762690C22semidirect
128. #11762689C22semidirect
139. #11762685C22semidirect
140. #11762685C22semidirect
145. #11762681C22semidirect
146. #11762681C22semidirect
149. #11762680C22semidirect
150. #11762671C22semidirect
152. #11762667C22semidirect
154. C4×#63225C22semidirect
155. C4×#63225C22semidirect
156. C4×#63225C22semidirect
167. C4×#63227C22semidirect
169. C4×C22⋊Dic17C22semidirect
170. C4×C22⋊Dic17C22semidirect
171. #11762655C22semidirect
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
277. C4×C22⋊D17D4semidirect
412. C2×D4×C17#41semidirect
475. C22×Dic17#41semidirect
518. C2×C4×D17#41semidirect
581. #63227#41semidirect
794. C4×#121D17semidirect
906. C2×C4×D4C2×D17semidirect
955. #390C2×D17semidirect
957. #389C2×D17semidirect
968. #388C2×D17semidirect
969. #388C2×D17semidirect
1012. C4×C4⋊C4C2×D17semidirect
1027. C4×C22⋊C4C2×D17semidirect
1028. C4×C22⋊C4C2×D17semidirect
1247. C17#34732semidirect
1304. C2×D4#63252semidirect

Maximal subgroups

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

subgroupindex
C2×#117633182
C2×C4×#632542
#145329912
#145329762
#145329012
#145328862
#145328112
#145327962
#145327122
#145326972
#145326142
#145325402
#145324662
#145323902
#145323262
#145322522
#145321722
#145321022
#145320712
#145320602
#145320282
#145319992
C4×#105875802
C4×#105876212
C4×#105876252
C4×#105876232
#145312702
#145312272
#145312232
C2×C4×#632272
C4×C17×#1212
#3473217