Finite Group Databasebeta

← #25262441

Subgroups — #25262441

Order 11008.

2224 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19137761C211yesmaximal, characteristic, complemented
2#19137752C211yesmaximal, characteristic, complemented
3#19137743C211yesmaximal, characteristic, complemented
4#19137695C211yesmaximal, characteristic, complemented
5#19137680C211yesmaximal, characteristic, complemented
6#19137670C211yesmaximal, characteristic, complemented
7#19137670C211yesmaximal, characteristic, complemented
8#19137647C211yesmaximal, characteristic, complemented
9#19137647C211yesmaximal, characteristic, complemented
10#19137637C211yesmaximal, characteristic, complemented
11#19137626C211yesmaximal, characteristic, complemented
12#19137626C211yesmaximal, characteristic, complemented
13#19137591C211yesmaximal, characteristic, complemented
14#19137591C211yesmaximal, characteristic, complemented
15#19137591C211yesmaximal, characteristic, complemented
16#19137410C211yesmaximal, characteristic, complemented
17#19137410C211yesmaximal, characteristic, complemented
18#19137401C211yesmaximal, characteristic, complemented
19#19137389C211yesmaximal, characteristic, complemented
20#19137389C211yesmaximal, characteristic, complemented
21#19137389C211yesmaximal, characteristic, complemented
22#19137330C211yesmaximal, characteristic, complemented
23#19137330C211yesmaximal, characteristic, complemented
24#19137300C211yesmaximal, characteristic, complemented
25#19137290C211yesmaximal, characteristic, complemented
26#19137290C211yesmaximal, characteristic, complemented
27#19137279C211yesmaximal, characteristic, complemented
28C22⋊Q8×Dic43C211yesmaximal, characteristic, complemented
29#123×Dic43C211yesmaximal, characteristic, complemented
30#121×Dic43C211yesmaximal, characteristic, complemented
31C2×C43×#562C211yesmaximal, characteristic
32C2×Q8×Dic43C2211yescharacteristic
33C2×Q8×Dic43C2211yescharacteristic
34C2×D4×Dic43C2211yescharacteristic
35C2×D4×Dic43C2211yescharacteristic
36C2×D4×Dic43C2211yescharacteristic
37C2×D4×Dic43C2211yescharacteristic
38C2×D4×Dic43C2211yescharacteristic
39C2×D4×Dic43C2211yescharacteristic
40C2×#13063284C2211yescharacteristic
41C2×#13063284C2211yescharacteristic
42C2×#13063284C2211yescharacteristic
43C22×C4×Dic43C2211yescharacteristic
44#14582806C2211yescharacteristic
45#14582806C2211yescharacteristic
46#14582806C2211yescharacteristic
47#14582806C2211yescharacteristic
48#14582806C2211yescharacteristic
49#14582806C2211yescharacteristic
50#14582802C2211yescharacteristic
51#14582802C2211yescharacteristic
52#14582802C2211yescharacteristic
53#14582802C2211yescharacteristic
54#14582802C2211yescharacteristic
55#14582802C2211yescharacteristic
56#14582798C2211yescharacteristic
57#14582798C2211yescharacteristic
58#14582798C2211yescharacteristic
59#14582798C2211yescharacteristic
60#14582798C2211yescharacteristic
61#14582798C2211yescharacteristic
62#14582798C2211yescharacteristic
63#14582798C2211yescharacteristic
64#14582798C2211yescharacteristic
65#14582798C2211yescharacteristic
66#14582792C2211yescharacteristic
67#14582792C2211yescharacteristic
68#14582792C2211yescharacteristic
69#14582792C2211yescharacteristic
70#14582792C2211yescharacteristic
71#14582792C2211yescharacteristic
72#14582792C2211yescharacteristic
73#14582792C2211yescharacteristic
74#14582792C2211yescharacteristic
75#14582792C2211yescharacteristic
76#14582792C2211yescharacteristic
77#14582792C2211yescharacteristic
78#14582792C2211yescharacteristic
79#14582792C2211yescharacteristic
80#14582792C2211yescharacteristic
81#14582792C2211yescharacteristic
82#14582792C2211yescharacteristic
83#14582792C2211yescharacteristic
84#14582792C2211yescharacteristic
85#14582792C2211yescharacteristic
86#14582792C2211yescharacteristic
87#14582792C2211yescharacteristic
88#14582792C2211yescharacteristic
89#14582792C2211yescharacteristic
90#14582785C2211yescharacteristic
91#14582785C2211yescharacteristic
92#14582785C2211yescharacteristic
93#14582785C2211yescharacteristic
94#14582785C2211yescharacteristic
95#14582785C2211yescharacteristic
96#14582785C2211yescharacteristic
97#14582785C2211yescharacteristic
98#14582785C2211yescharacteristic
99#14582785C2211yescharacteristic
100#14582785C2211yescharacteristic
101#14582785C2211yescharacteristic
102#14582785C2211yescharacteristic
103#14582785C2211yescharacteristic
104#14582785C2211yescharacteristic
105#14582785C2211yescharacteristic
106#14582785C2211yescharacteristic
107#14582785C2211yescharacteristic
108#14582785C2211yescharacteristic
109#14582785C2211yescharacteristic
110#14582779C2211yescharacteristic
111#14582779C2211yescharacteristic
112#14582779C2211yescharacteristic
113#14582779C2211yescharacteristic
114#14582779C2211yescharacteristic
115#14582779C2211yescharacteristic
116#14582779C2211yescharacteristic
117#14582779C2211yescharacteristic
118#14582779C2211yescharacteristic
119#14582779C2211yescharacteristic
120#14582779C2211yescharacteristic
121#14582779C2211yescharacteristic
122#14582774C2211yescharacteristic
123#14582774C2211yescharacteristic
124#14582774C2211yescharacteristic
125#14582774C2211yescharacteristic
126#14582774C2211yescharacteristic
127#14582774C2211yescharacteristic
128#14582774C2211yescharacteristic
129#14582774C2211yescharacteristic
130#14582774C2211yescharacteristic
131#14582774C2211yescharacteristic
132#14582774C2211yescharacteristic
133#14582774C2211yescharacteristic
134#14582767C2211yescharacteristic
135#14582762C2211yescharacteristic
136#14582759C2211yescharacteristic
137#14582759C2211yescharacteristic
138#14582759C2211yescharacteristic
139#14582759C2211yescharacteristic
140#14582759C2211yescharacteristic
141C4⋊C4×Dic43C2211yescharacteristic
142C4⋊C4×Dic43C2211yescharacteristic
143C4⋊C4×Dic43C2211yescharacteristic
144C4⋊C4×Dic43C2211yescharacteristic
145C4⋊C4×Dic43C2211yescharacteristic
146C4⋊C4×Dic43C2211yescharacteristic
147C4⋊C4×Dic43C2211yescharacteristic
148C4⋊C4×Dic43C2211yescharacteristic
149C4⋊C4×Dic43C2211yescharacteristic
150C4⋊C4×Dic43C2211yescharacteristic
151C4×C4⋊Dic43C2211yescharacteristic
152C4×C4⋊Dic43C2211yescharacteristic
153C4×C4⋊Dic43C2211yescharacteristic
154C22⋊C4×Dic43C2211yescharacteristic
155C22⋊C4×Dic43C2211yescharacteristic
156C22⋊C4×Dic43C2211yescharacteristic
157C22⋊C4×Dic43C2211yescharacteristic
158C22⋊C4×Dic43C2211yescharacteristic
159C22⋊C4×Dic43C2211yescharacteristic
160C22⋊C4×Dic43C2211yescharacteristic
161C22⋊C4×Dic43C2211yescharacteristic
162C22⋊C4×Dic43C2211yescharacteristic
163C22⋊C4×Dic43C2211yescharacteristic
164C22⋊C4×Dic43C2211yescharacteristic
165C22⋊C4×Dic43C2211yescharacteristic
166C4×C22⋊Dic43C2211yescharacteristic
167C4×C22⋊Dic43C2211yescharacteristic
168C4×C22⋊Dic43C2211yescharacteristic
169C2×C43⋊#95C2211yescharacteristic
170C2×C43⋊#95C2211yescharacteristic
171C2×C43⋊#95C2211yescharacteristic
172C43×#562C4116yescomplemented
173C2×#125×C43C2211yescharacteristic
174C2×#124×C43C2211yescharacteristic
175C2×#124×C43C2211yescharacteristic
176C2×#123×C43C2211yescharacteristic
177C2×#123×C43C2211yescharacteristic
178C2×#123×C43C2211yescharacteristic
179C2×#123×C43C2211yescharacteristic
180C2×C22⋊Q8×C43C2211yescharacteristic
181C2×C22⋊Q8×C43C2211yescharacteristic
182C2×C22⋊Q8×C43C2211yescharacteristic
183C2×C22⋊Q8×C43C2211yescharacteristic
184C2×#121×C43C2211yescharacteristic
185C2×#121×C43C2211yescharacteristic
186C2×#121×C43C2211yescharacteristic
187C2×#121×C43C2211yescharacteristic
188C23×Dic43C2311yescharacteristic
189C23×Dic43C2311yescharacteristic
190C23×Dic43C2311yescharacteristic
191C23×Dic43C2311yescharacteristic
192C23×Dic43C2311yescharacteristic
193C23×Dic43C2311yescharacteristic
194C23×Dic43C2311yescharacteristic
195C23×Dic43C2311yescharacteristic
196Q8×Dic43—42no—
197Q8×Dic43—42no—
198D4×Dic43—42no—
199D4×Dic43—42no—
200D4×Dic43—42no—
201D4×Dic43—42no—
202D4×Dic43—42no—
203D4×Dic43—42no—
204#13063284—42no—
205#13063284—42no—
206#13063284—42no—
207C2×C4⋊Dic43C2311yescharacteristic
208C2×C4⋊Dic43C2311yescharacteristic
209C2×C4⋊Dic43C2311yescharacteristic
210C2×C4⋊Dic43C2311yescharacteristic
211C2×C4⋊Dic43C2311yescharacteristic
212C2×C4⋊Dic43C2311yescharacteristic
213C2×C4⋊Dic43C2311yescharacteristic
214C2×C4⋊Dic43C2311yescharacteristic
215C2×C4⋊Dic43C2311yescharacteristic
216C2×C4⋊Dic43C2311yescharacteristic
217C2×C4⋊Dic43C2311yescharacteristic
218C2×C4⋊Dic43C2311yescharacteristic
219C2×C4⋊Dic43C2311yescharacteristic
220C2×C4⋊Dic43C2311yescharacteristic
221C2×C4⋊Dic43C2311yescharacteristic
222C2×C4⋊Dic43C2311yescharacteristic
223C2×C4⋊Dic43C2311yescharacteristic
224C2×C4⋊Dic43C2311yescharacteristic
225C2×C4⋊Dic43C2311yescharacteristic
226C2×C4⋊Dic43C2311yescharacteristic
227C2×C4⋊Dic43C2311yescharacteristic
228C2×C4⋊Dic43C2311yescharacteristic
229C2×C22⋊Dic43C2311yescharacteristic
230C2×C22⋊Dic43C2311yescharacteristic
231C2×C22⋊Dic43C2311yescharacteristic
232C2×C22⋊Dic43C2311yescharacteristic
233C2×C22⋊Dic43C2311yescharacteristic
234C2×C22⋊Dic43C2311yescharacteristic
235C2×C22⋊Dic43C2311yescharacteristic
236C2×C22⋊Dic43C2311yescharacteristic
237C2×C22⋊Dic43C2311yescharacteristic
238C2×C22⋊Dic43C2311yescharacteristic
239C2×C22⋊Dic43C2311yescharacteristic
240C2×C22⋊Dic43C2311yescharacteristic
241C2×C22⋊Dic43C2311yescharacteristic
242C2×C22⋊Dic43C2311yescharacteristic
243C2×C22⋊Dic43C2311yescharacteristic
244C2×C22⋊Dic43C2311yescharacteristic
245C2×C22⋊Dic43C2311yescharacteristic
246C2×C22⋊Dic43C2311yescharacteristic
247C2×C22⋊Dic43C2311yescharacteristic
248C2×C22⋊Dic43C2311yescharacteristic
249C2×C22⋊Dic43C2311yescharacteristic
250C2×C22⋊Dic43C2311yescharacteristic
251C2×C22⋊Dic43C2311yescharacteristic
252C2×C22⋊Dic43C2311yescharacteristic
253C2×C4×Dic43—42no—
254C2×C4×Dic43C2311yescharacteristic
255C2×C4×Dic43C2311yescharacteristic
256C2×C4×Dic43C2311yescharacteristic
257C2×C4×Dic43C2311yescharacteristic
258C2×C4×Dic43C2311yescharacteristic
259C2×C4×Dic43C2311yescharacteristic
260C2×C4×Dic43C2311yescharacteristic
261C2×C4×Dic43C2311yescharacteristic
262C2×C4×Dic43C2311yescharacteristic
263C2×C4×Dic43C2311yescharacteristic
264C2×C4×Dic43C2311yescharacteristic
265C2×C4×Dic43C2311yescharacteristic
266C2×C4×Dic43C2311yescharacteristic
267C2×C4×Dic43C2311yescharacteristic
268C2×C4×Dic43C2311yescharacteristic
269C2×C4×Dic43C2311yescharacteristic
270C2×C4×Dic43C2311yescharacteristic
271C2×C4×Dic43C2311yescharacteristic
272C2×C4×Dic43C2311yescharacteristic
273C2×C4×Dic43C2311yescharacteristic
274C2×C4×Dic43C2311yescharacteristic
275C2×C4×Dic43C2311yescharacteristic
276C43⋊#95C2311yescharacteristic
277C43⋊#95C2311yescharacteristic
278C43⋊#95C2311yescharacteristic
279C43⋊#95C2311yescharacteristic
280C43⋊#95C2311yescharacteristic
281C43⋊#95C2311yescharacteristic
282C43⋊#95C2311yescharacteristic
283C43⋊#95C2311yescharacteristic
284C43⋊#95C2311yescharacteristic
285C43⋊#95C2311yescharacteristic
286C43⋊#95C2311yescharacteristic
287C43⋊#95C2311yescharacteristic
288C43⋊#95C2311yescharacteristic
289C43⋊#95C2311yescharacteristic
290C43⋊#95C2311yescharacteristic
291C43⋊#95C2311yescharacteristic
292C43⋊#95C2311yescharacteristic
293C43⋊#95C2311yescharacteristic
294C43⋊#95C2311yescharacteristic
295C43⋊#95C2311yescharacteristic
296C43⋊#95C2311yescharacteristic
297C43⋊#95C2311yescharacteristic
298C43⋊#95C2311yescharacteristic
299C43⋊#95C2311yescharacteristic
300C43⋊#95C2311yescharacteristic
301C43⋊#95C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C22×Q8×C43C2311yescharacteristic
321C22×Q8×C43C2311yescharacteristic
322C22×D4×C43C2311yescharacteristic
323C22×D4×C43C2311yescharacteristic
324C22×D4×C43C2311yescharacteristic
325C22×D4×C43C2311yescharacteristic
326C22×D4×C43C2311yescharacteristic
327C22×D4×C43C2311yescharacteristic
328C23×C4×C43C2311yescharacteristic
329C23×C4×C43C2311yescharacteristic
330C23×C4×C43C2311yescharacteristic
331C23×C4×C43C2311yescharacteristic
332#125×C43C2×C418yescomplemented
333#124×C43C2×C418yescomplemented
334#124×C43C2×C418yescomplemented
335#123×C43C2×C418yescomplemented
336#123×C43C2×C418yescomplemented
337#123×C43C2×C418yescomplemented
338#123×C43C2×C418yescomplemented
339C22⋊Q8×C43C2×C418yescomplemented
340C22⋊Q8×C43C2×C418yescomplemented
341C22⋊Q8×C43C2×C418yescomplemented
342C22⋊Q8×C43C2×C418yescomplemented
343#121×C43C2×C418yescomplemented
344#121×C43C2×C418yescomplemented
345#121×C43C2×C418yescomplemented
346#121×C43C2×C418yescomplemented
347C2×C4⋊C4×C43C2311yescharacteristic
348C2×C4⋊C4×C43C2311yescharacteristic
349C2×C4⋊C4×C43C2311yescharacteristic
350C2×C4⋊C4×C43C2311yescharacteristic
351C2×C4⋊C4×C43C2311yescharacteristic
352C2×C4⋊C4×C43C2311yescharacteristic
353C2×C4⋊C4×C43C2311yescharacteristic
354C2×C4⋊C4×C43C2311yescharacteristic
355C2×C4⋊C4×C43C2311yescharacteristic
356C2×C4⋊C4×C43C2311yescharacteristic
357C2×C22⋊C4×C43C2311yescharacteristic
358C2×C22⋊C4×C43C2311yescharacteristic
359C2×C22⋊C4×C43C2311yescharacteristic
360C2×C22⋊C4×C43C2311yescharacteristic
361C2×C22⋊C4×C43C2311yescharacteristic
362C2×C22⋊C4×C43C2311yescharacteristic
363C2×C22⋊C4×C43C2311yescharacteristic
364C2×C22⋊C4×C43C2311yescharacteristic
365C2×C22⋊C4×C43C2311yescharacteristic
366C2×C22⋊C4×C43C2311yescharacteristic
367C2×C22⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C42×C43C2311yescharacteristic
370C24×C43C2411yescharacteristic
371C24×C43C2411yescharacteristic
372C24×C43C2411yescharacteristic
373C24×C43C2411yescharacteristic
374C2×Q8×C43—41no—
375C2×Q8×C43—41no—
376C2×Q8×C43—41no—
377C2×Q8×C43—41no—
378C2×Q8×C43C22×C414yes—
379C2×Q8×C43C22×C414yes—
380C2×D4×C43—41no—
381C2×D4×C43—41no—
382C2×D4×C43—41no—
383C2×D4×C43—41no—
384C2×D4×C43—41no—
385C2×D4×C43—41no—
386C2×D4×C43—41no—
387C2×D4×C43—41no—
388C2×D4×C43—41no—
389C2×D4×C43—41no—
390C2×D4×C43—41no—
391C2×D4×C43—41no—
392C2×D4×C43C22×C414yes—
393C2×D4×C43C22×C414yes—
394C2×D4×C43C22×C414yes—
395C2×D4×C43C22×C414yes—
396C2×D4×C43C22×C414yes—
397C2×D4×C43C22×C414yes—
398C22×C4×C43—41no—
399C22×C4×C43—41no—
400C22×C4×C43—41no—
401C22×C4×C43—41no—
402C22×C4×C43—41no—
403C22×C4×C43—41no—
404C22×C4×C43—41no—
405C22×C4×C43—41no—
406C22×C4×C43C22×C414yes—
407C22×C4×C43C22×C414yes—
408C22×C4×C43C22×C414yes—
409C22×C4×C43C22×C414yes—
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×Dic43—22no—
422C22×Dic43—22no—
423C22×Dic43—22no—
424C22×Dic43—22no—
425C22×Dic43—22no—
426C22×Dic43—22no—
427C22×Dic43—41no—
428C22×Dic43—41no—
429C22×Dic43—41no—
430C22×Dic43—41no—
431C22×Dic43—41no—
432C22×Dic43—41no—
433C22×Dic43—41no—
434C22×Dic43—41no—
435C22×Dic43—41no—
436C22×Dic43—41no—
437C22×Dic43—41no—
438C22×Dic43—41no—
439C22×Dic43—41no—
440C22×Dic43—41no—
441C22×Dic43—41no—
442C22×Dic43—41no—
443C22×Dic43—41no—
444C22×Dic43—41no—
445C22×Dic43C2411yescharacteristic
446C22×Dic43C2411yescharacteristic
447C22×Dic43C2411yescharacteristic
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2411yescharacteristic
460C22×Dic43C2411yescharacteristic
461C4⋊C4×C43C22×C414yes—
462C4⋊C4×C43C22×C414yes—
463C4⋊C4×C43C22×C414yes—
464C4⋊C4×C43C22×C414yes—
465C4⋊C4×C43C22×C414yes—
466C4⋊C4×C43C22×C414yes—
467C4⋊C4×C43C22×C414yes—
468C4⋊C4×C43C22×C414yes—
469C4⋊C4×C43C22×C414yes—
470C4⋊C4×C43C22×C414yes—
471C22⋊C4×C43C22×C414yes—
472C22⋊C4×C43C22×C414yes—
473C22⋊C4×C43C22×C414yes—
474C22⋊C4×C43C22×C414yes—
475C22⋊C4×C43C22×C414yes—
476C22⋊C4×C43C22×C414yes—
477C22⋊C4×C43C22×C414yes—
478C22⋊C4×C43C22×C414yes—
479C22⋊C4×C43C22×C414yes—
480C22⋊C4×C43C22×C414yes—
481C22⋊C4×C43C22×C414yes—
482C22⋊C4×C43C22×C414yes—
483C42×C43C22×C414yes—
484C22⋊Dic43—22no—
485C22⋊Dic43—22no—
486C22⋊Dic43—22no—
487C22⋊Dic43—22no—
488C22⋊Dic43—22no—
489C22⋊Dic43—22no—
490C22⋊Dic43—41no—
491C22⋊Dic43—41no—
492C22⋊Dic43—41no—
493C22⋊Dic43—41no—
494C22⋊Dic43—41no—
495C22⋊Dic43—41no—
496C22⋊Dic43—41no—
497C22⋊Dic43—41no—
498C22⋊Dic43—41no—
499C22⋊Dic43—41no—
500C22⋊Dic43—41no—
501C22⋊Dic43—41no—
502C22⋊Dic43—41no—
503C22⋊Dic43—41no—
504C22⋊Dic43—41no—
505C22⋊Dic43—41no—
506C22⋊Dic43—41no—
507C22⋊Dic43—41no—
508C4⋊Dic43—22no—
509C4⋊Dic43—22no—
510C4⋊Dic43—22no—
511C4⋊Dic43—22no—
512C4⋊Dic43—22no—
513C4⋊Dic43—22no—
514C4⋊Dic43—41no—
515C4⋊Dic43—41no—
516C4⋊Dic43—41no—
517C4⋊Dic43—41no—
518C4⋊Dic43—41no—
519C4⋊Dic43—41no—
520C4⋊Dic43—41no—
521C4⋊Dic43—41no—
522C4⋊Dic43—41no—
523C4⋊Dic43—41no—
524C4⋊Dic43—41no—
525C4⋊Dic43—41no—
526C4⋊Dic43—41no—
527C4⋊Dic43—41no—
528C4⋊Dic43—41no—
529C4⋊Dic43—41no—
530C4×Dic43—22no—
531C4×Dic43—22no—
532C4×Dic43—22no—
533C4×Dic43—22no—
534C4×Dic43—22no—
535C4×Dic43—41no—
536C4×Dic43—41no—
537C4×Dic43—41no—
538C4×Dic43—41no—
539C4×Dic43—41no—
540C4×Dic43—41no—
541C4×Dic43—41no—
542C4×Dic43—41no—
543C4×Dic43—41no—
544C4×Dic43—41no—
545C4×Dic43—41no—
546C4×Dic43—41no—
547C4×Dic43—41no—
548C4×Dic43—41no—
549C4×Dic43—41no—
550C4×Dic43—41no—
551C4×Dic43—41no—
552C23×C43—21no—
553C23×C43—21no—
554C23×C43—21no—
555C23×C43—21no—
556C23×C43—21no—
557C23×C43—21no—
558C23×C43—21no—
559C23×C43—21no—
560C23×C43—21no—
561C23×C43—21no—
562C23×C43—21no—
563C23×C43—21no—
564C23×C43—21no—
565C23×C43—21no—
566C23×C43—21no—
567C23×C43—21no—
568C23×C43—21no—
569C23×C43—21no—
570C23×C43—21no—
571C23×C43—21no—
572C23×C43—21no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43C23×C412yes—
577C23×C43C23×C412yes—
578C23×C43C23×C412yes—
579C23×C43C23×C412yes—
580C23×C43C2511yescharacteristic
581Q8×C43—44no—
582Q8×C43—44no—
583D4×C43—44no—
584D4×C43—44no—
585D4×C43—44no—
586D4×C43—44no—
587D4×C43—44no—
588D4×C43—44no—
589C2×C4×C43—21no—
590C2×C4×C43—21no—
591C2×C4×C43—21no—
592C2×C4×C43—21no—
593C2×C4×C43—21no—
594C2×C4×C43—21no—
595C2×C4×C43—21no—
596C2×C4×C43—21no—
597C2×C4×C43—21no—
598C2×C4×C43—21no—
599C2×C4×C43—21no—
600C2×C4×C43—21no—
601C2×C4×C43—21no—
602C2×C4×C43—21no—
603C2×C4×C43—21no—
604C2×C4×C43—21no—
605C2×C4×C43—21no—
606C2×C4×C43—21no—
607C2×C4×C43—21no—
608C2×C4×C43—21no—
609C2×C4×C43—21no—
610C2×C4×C43—21no—
611C2×C4×C43—44no—
612C2×C4×C43—44no—
613C2×C4×C43—44no—
614C2×C4×C43—44no—
615C2×C4×C43C23×C412yes—
616C2×C4×C43C23×C412yes—
617C2×C4×C43C23×C412yes—
618C2×C4×C43C23×C412yes—
619C2×C4×C43C23×C412yes—
620C2×C4×C43C23×C412yes—
621C2×C4×C43C23×C412yes—
622C2×C4×C43C23×C412yes—
623C2×C4×C43C23×C412yes—
624C2×C4×C43C23×C412yes—
625C2×C4×C43C23×C412yes—
626C2×Dic43—21no—
627C2×Dic43—21no—
628C2×Dic43—21no—
629C2×Dic43—21no—
630C2×Dic43—21no—
631C2×Dic43—21no—
632C2×Dic43—21no—
633C2×Dic43—21no—
634C2×Dic43—21no—
635C2×Dic43—21no—
636C2×Dic43—21no—
637C2×Dic43—21no—
638C2×Dic43—21no—
639C2×Dic43—21no—
640C2×Dic43—21no—
641C2×Dic43—21no—
642C2×Dic43—21no—
643C2×Dic43—21no—
644C2×Dic43—21no—
645C2×Dic43—21no—
646C2×Dic43—21no—
647C2×Dic43—21no—
648C2×Dic43—21no—
649C2×Dic43—21no—
650C2×Dic43—21no—
651C2×Dic43—21no—
652C2×Dic43—21no—
653C2×Dic43—21no—
654C2×Dic43—21no—
655C2×Dic43—21no—
656C2×Dic43—21no—
657C2×Dic43—21no—
658C2×Dic43—21no—
659C2×Dic43—21no—
660C2×Dic43—21no—
661C2×Dic43—21no—
662C2×Dic43—21no—
663C2×Dic43—21no—
664C2×Dic43—21no—
665C2×Dic43—21no—
666C2×Dic43—21no—
667C2×Dic43—21no—
668C2×Dic43—21no—
669C2×Dic43—21no—
670C2×Dic43—21no—
671C2×Dic43—44no—
672C2×Dic43—44no—
673C2×Dic43—82no—
674C2×Dic43—82no—
675C2×Dic43—82no—
676C2×Dic43—82no—
677C2×Dic43—82no—
678C2×Dic43—82no—
679C2×Dic43H(5,𝔽2)12yes—
680C2×Dic43H(5,𝔽2)12yes—
681C2×Dic432−1+412yes—
682#34513—431nomaximal, Sylow
683C22×C43—22no—
684C22×C43—22no—
685C22×C43—22no—
686C22×C43—22no—
687C22×C43—22no—
688C22×C43—22no—
689C22×C43—22no—
690C22×C43—22no—
691C22×C43—22no—
692C22×C43—22no—
693C22×C43—22no—
694C22×C43—22no—
695C22×C43—41no—
696C22×C43—41no—
697C22×C43—41no—
698C22×C43—41no—
699C22×C43—41no—
700C22×C43—41no—
701C22×C43—41no—
702C22×C43—41no—
703C22×C43—41no—
704C22×C43—41no—
705C22×C43—41no—
706C22×C43—41no—
707C22×C43—41no—
708C22×C43—41no—
709C22×C43—41no—
710C22×C43—41no—
711C22×C43C24×C411yescharacteristic
712C22×C43C2×H(5,𝔽2)11yescharacteristic
713C22×C43C2×H(5,𝔽2)11yescharacteristic
714C22×C43C2×2−1+411yescharacteristic
715C22×C43#58511yescharacteristic
716C22×C43#58511yescharacteristic
717C22×C43#58511yescharacteristic
718C4×C43—22no—
719C4×C43—22no—
720C4×C43—22no—
721C4×C43—22no—
722C4×C43—22no—
723C4×C43—22no—
724C4×C43—22no—
725C4×C43—22no—
726C4×C43—22no—
727C4×C43—22no—
728C4×C43—22no—
729Dic43—22no—
730Dic43—22no—
731Dic43—22no—
732Dic43—41no—
733Dic43—41no—
734Dic43—41no—
735Dic43—41no—
736Dic43—41no—
737Dic43—41no—
738Dic43—41no—
739Dic43—41no—
740Dic43—41no—
741Dic43—41no—
742Dic43—41no—
743Dic43—41no—
744Dic43—41no—
745C2×#562D4311yescharacteristic
746#2378—431no—
747#2377—431no—
748#2376—431no—
749#2370—431no—
750#2368—431no—
751#2367—431no—
752#2367—431no—
753#2364—431no—
754#2364—431no—
755#2363—431no—
756#2362—431no—
757#2362—431no—
758#2359—431no—
759#2359—431no—
760#2359—431no—
761#2337—431no—
762#2337—431no—
763#2336—431no—
764#2335—431no—
765#2335—431no—
766#2335—431no—
767#2329—431no—
768#2329—431no—
769#2325—431no—
770#2324—431no—
771#2324—431no—
772#2323—431no—
773C4×C22⋊Q8—431no—
774C4×#123—431no—
775C4×#121—431no—
776C2×C43—42no—
777C2×C43—42no—
778C2×C43—42no—
779C2×C43—42no—
780C2×C43C4×H(5,𝔽2)11yescharacteristic
781C2×C43C4×H(5,𝔽2)11yescharacteristic
782C2×C43C4×2−1+411yescharacteristic
783C2×C43#353311yescharacteristic
784C2×C43#353611yescharacteristic
785C2×C43#356211yescharacteristic
786C2×C43#356511yescharacteristic
787#562Dic43116yescomplemented
788C2×#125C2×D4311yescharacteristic
789C2×#124C2×D4311yescharacteristic
790C2×#124C2×D4311yescharacteristic
791C2×#123C2×D4311yescharacteristic
792C2×#123C2×D4311yescharacteristic
793C2×#123C2×D4311yescharacteristic
794C2×#123C2×D4311yescharacteristic
795C2×C22⋊Q8C2×D4311yescharacteristic
796C2×C22⋊Q8C2×D4311yescharacteristic
797C2×C22⋊Q8C2×D4311yescharacteristic
798C2×C22⋊Q8C2×D4311yescharacteristic
799C2×#121C2×D4311yescharacteristic
800C2×#121C2×D4311yescharacteristic
801C2×#121C2×D4311yescharacteristic
802C2×#121C2×D4311yescharacteristic
803C2×C4×Q8—431no—
804C2×C4×Q8—431no—
805C2×C4×D4—431no—
806C2×C4×D4—431no—
807C2×C4×D4—431no—
808C2×C4×D4—431no—
809C2×C4×D4—431no—
810C2×C4×D4—431no—
811C2×#117—431no—
812C2×#117—431no—
813C2×#117—431no—
814C22×C42—431no—
815#391—431no—
816#391—431no—
817#391—431no—
818#391—431no—
819#391—431no—
820#391—431no—
821#390—431no—
822#390—431no—
823#390—431no—
824#390—431no—
825#390—431no—
826#390—431no—
827#389—431no—
828#389—431no—
829#389—431no—
830#389—431no—
831#389—431no—
832#389—431no—
833#389—431no—
834#389—431no—
835#389—431no—
836#389—431no—
837#388—431no—
838#388—431no—
839#388—431no—
840#388—431no—
841#388—431no—
842#388—431no—
843#388—431no—
844#388—431no—
845#388—431no—
846#388—431no—
847#388—431no—
848#388—431no—
849#388—431no—
850#388—431no—
851#388—431no—
852#388—431no—
853#388—431no—
854#388—431no—
855#388—431no—
856#388—431no—
857#388—431no—
858#388—431no—
859#388—431no—
860#388—431no—
861#387—431no—
862#387—431no—
863#387—431no—
864#387—431no—
865#387—431no—
866#387—431no—
867#387—431no—
868#387—431no—
869#387—431no—
870#387—431no—
871#387—431no—
872#387—431no—
873#387—431no—
874#387—431no—
875#387—431no—
876#387—431no—
877#387—431no—
878#387—431no—
879#387—431no—
880#387—431no—
881#386—431no—
882#386—431no—
883#386—431no—
884#386—431no—
885#386—431no—
886#386—431no—
887#386—431no—
888#386—431no—
889#386—431no—
890#386—431no—
891#386—431no—
892#386—431no—
893#385—431no—
894#385—431no—
895#385—431no—
896#385—431no—
897#385—431no—
898#385—431no—
899#385—431no—
900#385—431no—
901#385—431no—
902#385—431no—
903#385—431no—
904#385—431no—
905#383—431no—
906#381—431no—
907#380—431no—
908#380—431no—
909#380—431no—
910#380—431no—
911#380—431no—
912C4×C4⋊C4—431no—
913C4×C4⋊C4—431no—
914C4×C4⋊C4—431no—
915C4×C4⋊C4—431no—
916C4×C4⋊C4—431no—
917C4×C4⋊C4—431no—
918C4×C4⋊C4—431no—
919C4×C4⋊C4—431no—
920C4×C4⋊C4—431no—
921C4×C4⋊C4—431no—
922C4×C4⋊C4—431no—
923C4×C4⋊C4—431no—
924C4×C4⋊C4—431no—
925C4×C22⋊C4—431no—
926C4×C22⋊C4—431no—
927C4×C22⋊C4—431no—
928C4×C22⋊C4—431no—
929C4×C22⋊C4—431no—
930C4×C22⋊C4—431no—
931C4×C22⋊C4—431no—
932C4×C22⋊C4—431no—
933C4×C22⋊C4—431no—
934C4×C22⋊C4—431no—
935C4×C22⋊C4—431no—
936C4×C22⋊C4—431no—
937C4×C22⋊C4—431no—
938C4×C22⋊C4—431no—
939C4×C22⋊C4—431no—
940C2×#95—431no—
941C2×#95—431no—
942C2×#95—431no—
943C43#3451311yescharacteristic, complemented, Sylow
944C22×Q8C22×D4311yescharacteristic
945C22×Q8C22×D4311yescharacteristic
946C22×D4C22×D4311yescharacteristic
947C22×D4C22×D4311yescharacteristic
948C22×D4C22×D4311yescharacteristic
949C22×D4C22×D4311yescharacteristic
950C22×D4C22×D4311yescharacteristic
951C22×D4C22×D4311yescharacteristic
952C23×C4—431no—
953C23×C4—431no—
954C23×C4—431no—
955C23×C4—431no—
956C23×C4—431no—
957C23×C4—431no—
958C23×C4—431no—
959C23×C4—431no—
960C23×C4C22×D4311yescharacteristic
961C23×C4C22×D4311yescharacteristic
962C23×C4C22×D4311yescharacteristic
963C23×C4C22×D4311yescharacteristic
964#125C2×Dic4318yescomplemented
965#124C2×Dic4318yescomplemented
966#124C2×Dic4318yescomplemented
967#123C2×Dic4318yescomplemented
968#123C2×Dic4318yescomplemented
969#123C2×Dic4318yescomplemented
970#123C2×Dic4318yescomplemented
971C22⋊Q8C2×Dic4318yescomplemented
972C22⋊Q8C2×Dic4318yescomplemented
973C22⋊Q8C2×Dic4318yescomplemented
974C22⋊Q8C2×Dic4318yescomplemented
975#121C2×Dic4318yescomplemented
976#121C2×Dic4318yescomplemented
977#121C2×Dic4318yescomplemented
978#121C2×Dic4318yescomplemented
979C4×Q8—1722no—
980C4×Q8—1722no—
981C4×D4—1722no—
982C4×D4—1722no—
983C4×D4—1722no—
984C4×D4—1722no—
985C4×D4—1722no—
986C4×D4—1722no—
987#117—1722no—
988#117—1722no—
989#117—1722no—
990C2×C4⋊C4—431no—
991C2×C4⋊C4—431no—
992C2×C4⋊C4—431no—
993C2×C4⋊C4—431no—
994C2×C4⋊C4—431no—
995C2×C4⋊C4—431no—
996C2×C4⋊C4—431no—
997C2×C4⋊C4—431no—
998C2×C4⋊C4—431no—
999C2×C4⋊C4—431no—
1000C2×C4⋊C4—431no—
1001C2×C4⋊C4—431no—
1002C2×C4⋊C4—431no—
1003C2×C4⋊C4—431no—
1004C2×C4⋊C4—431no—
1005C2×C4⋊C4—431no—
1006C2×C4⋊C4—431no—
1007C2×C4⋊C4—431no—
1008C2×C4⋊C4—431no—
1009C2×C4⋊C4—431no—
1010C2×C4⋊C4—431no—
1011C2×C4⋊C4—431no—
1012C2×C4⋊C4C22×D4311yescharacteristic
1013C2×C4⋊C4C22×D4311yescharacteristic
1014C2×C4⋊C4C22×D4311yescharacteristic
1015C2×C4⋊C4C22×D4311yescharacteristic
1016C2×C4⋊C4C22×D4311yescharacteristic
1017C2×C4⋊C4C22×D4311yescharacteristic
1018C2×C4⋊C4C22×D4311yescharacteristic
1019C2×C4⋊C4C22×D4311yescharacteristic
1020C2×C4⋊C4C22×D4311yescharacteristic
1021C2×C4⋊C4C22×D4311yescharacteristic
1022C2×C22⋊C4—431no—
1023C2×C22⋊C4—431no—
1024C2×C22⋊C4—431no—
1025C2×C22⋊C4—431no—
1026C2×C22⋊C4—431no—
1027C2×C22⋊C4—431no—
1028C2×C22⋊C4—431no—
1029C2×C22⋊C4—431no—
1030C2×C22⋊C4—431no—
1031C2×C22⋊C4—431no—
1032C2×C22⋊C4—431no—
1033C2×C22⋊C4—431no—
1034C2×C22⋊C4—431no—
1035C2×C22⋊C4—431no—
1036C2×C22⋊C4—431no—
1037C2×C22⋊C4—431no—
1038C2×C22⋊C4—431no—
1039C2×C22⋊C4—431no—
1040C2×C22⋊C4—431no—
1041C2×C22⋊C4—431no—
1042C2×C22⋊C4—431no—
1043C2×C22⋊C4—431no—
1044C2×C22⋊C4—431no—
1045C2×C22⋊C4—431no—
1046C2×C22⋊C4C22×D4311yescharacteristic
1047C2×C22⋊C4C22×D4311yescharacteristic
1048C2×C22⋊C4C22×D4311yescharacteristic
1049C2×C22⋊C4C22×D4311yescharacteristic
1050C2×C22⋊C4C22×D4311yescharacteristic
1051C2×C22⋊C4C22×D4311yescharacteristic
1052C2×C22⋊C4C22×D4311yescharacteristic
1053C2×C22⋊C4C22×D4311yescharacteristic
1054C2×C22⋊C4C22×D4311yescharacteristic
1055C2×C22⋊C4C22×D4311yescharacteristic
1056C2×C22⋊C4C22×D4311yescharacteristic
1057C2×C22⋊C4C22×D4311yescharacteristic
1058C2×C42—431no—
1059C2×C42—431no—
1060C2×C42—431no—
1061C2×C42—431no—
1062C2×C42—431no—
1063C2×C42—431no—
1064C2×C42—431no—
1065C2×C42—431no—
1066C2×C42—431no—
1067C2×C42—431no—
1068C2×C42—431no—
1069C2×C42—431no—
1070C2×C42—431no—
1071C2×C42—431no—
1072C2×C42—431no—
1073C2×C42—431no—
1074C2×C42—431no—
1075C2×C42—431no—
1076C2×C42—431no—
1077C2×C42—431no—
1078C2×C42—431no—
1079C2×C42—431no—
1080C2×C42—1722no—
1081C2×C42C22×D4311yescharacteristic
1082#95—431no—
1083#95—431no—
1084#95—431no—
1085#95—431no—
1086#95—431no—
1087#95—431no—
1088#95—431no—
1089#95—431no—
1090#95—431no—
1091#95—431no—
1092#95—431no—
1093#95—431no—
1094#95—431no—
1095#95—431no—
1096#95—431no—
1097#95—431no—
1098#95—431no—
1099#95—431no—
1100#95—431no—
1101#95—431no—
1102#95—431no—
1103#95—431no—
1104#95—431no—
1105#95—431no—
1106#95—431no—
1107#95—431no—
1108#95—431no—
1109#95—431no—
1110#95—431no—
1111#95—431no—
1112#95—431no—
1113#95—431no—
1114#95—431no—
1115#95—431no—
1116#95—431no—
1117#95—431no—
1118#95—431no—
1119#95—431no—
1120#95—431no—
1121#95—431no—
1122#95—431no—
1123#95—431no—
1124#95—431no—
1125#95—431no—
1126C24C23×D4311yescharacteristic
1127C24C23×D4311yescharacteristic
1128C24C23×D4311yescharacteristic
1129C24C23×D4311yescharacteristic
1130C2×Q8—41no—
1131C2×Q8—41no—
1132C2×Q8—41no—
1133C2×Q8—41no—
1134C2×Q8C22×Dic4314yes—
1135C2×Q8C22×Dic4314yes—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4C22×Dic4314yes—
1149C2×D4C22×Dic4314yes—
1150C2×D4C22×Dic4314yes—
1151C2×D4C22×Dic4314yes—
1152C2×D4C22×Dic4314yes—
1153C2×D4C22×Dic4314yes—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—431no—
1163C22×C4—431no—
1164C22×C4—431no—
1165C22×C4—431no—
1166C22×C4—431no—
1167C22×C4—431no—
1168C22×C4—431no—
1169C22×C4—431no—
1170C22×C4—431no—
1171C22×C4—431no—
1172C22×C4—431no—
1173C22×C4—431no—
1174C22×C4—431no—
1175C22×C4—431no—
1176C22×C4—431no—
1177C22×C4—431no—
1178C22×C4—862no—
1179C22×C4—862no—
1180C22×C4—862no—
1181C22×C4—862no—
1182C22×C4—862no—
1183C22×C4—862no—
1184C22×C4—1721no—
1185C22×C4—1721no—
1186C22×C4—1721no—
1187C22×C4—1721no—
1188C22×C4—1721no—
1189C22×C4—1721no—
1190C22×C4—1721no—
1191C22×C4—1721no—
1192C22×C4—1721no—
1193C22×C4—1721no—
1194C22×C4—1721no—
1195C22×C4—1721no—
1196C22×C4—1721no—
1197C22×C4—1721no—
1198C22×C4—1721no—
1199C22×C4—1721no—
1200C22×C4—1721no—
1201C22×C4—1721no—
1202C22×C4C22×Dic4314yes—
1203C22×C4C22×Dic4314yes—
1204C22×C4C22×Dic4314yes—
1205C22×C4C22×Dic4314yes—
1206C22×C4C23×D4311yescharacteristic
1207C22×C4C23×D4311yescharacteristic
1208C22×C4C23×D4311yescharacteristic
1209C22×C4C23×D4311yescharacteristic
1210C22×C4C23×D4311yescharacteristic
1211C22×C4C23×D4311yescharacteristic
1212C22×C4C23×D4311yescharacteristic
1213C22×C4C23×D4311yescharacteristic
1214C22×C4C23×D4311yescharacteristic
1215C22×C4C23×D4311yescharacteristic
1216C22×C4C23×D4311yescharacteristic
1217C4⋊C4—862no—
1218C4⋊C4—862no—
1219C4⋊C4—862no—
1220C4⋊C4—862no—
1221C4⋊C4—862no—
1222C4⋊C4—862no—
1223C4⋊C4—1721no—
1224C4⋊C4—1721no—
1225C4⋊C4—1721no—
1226C4⋊C4—1721no—
1227C4⋊C4—1721no—
1228C4⋊C4—1721no—
1229C4⋊C4—1721no—
1230C4⋊C4—1721no—
1231C4⋊C4—1721no—
1232C4⋊C4—1721no—
1233C4⋊C4—1721no—
1234C4⋊C4—1721no—
1235C4⋊C4—1721no—
1236C4⋊C4—1721no—
1237C4⋊C4—1721no—
1238C4⋊C4—1721no—
1239C4⋊C4C22×Dic4314yes—
1240C4⋊C4C22×Dic4314yes—
1241C4⋊C4C22×Dic4314yes—
1242C4⋊C4C22×Dic4314yes—
1243C4⋊C4C22×Dic4314yes—
1244C4⋊C4C22×Dic4314yes—
1245C4⋊C4C22×Dic4314yes—
1246C4⋊C4C22×Dic4314yes—
1247C4⋊C4C22×Dic4314yes—
1248C4⋊C4C22×Dic4314yes—
1249C22⋊C4—862no—
1250C22⋊C4—862no—
1251C22⋊C4—862no—
1252C22⋊C4—862no—
1253C22⋊C4—862no—
1254C22⋊C4—862no—
1255C22⋊C4—1721no—
1256C22⋊C4—1721no—
1257C22⋊C4—1721no—
1258C22⋊C4—1721no—
1259C22⋊C4—1721no—
1260C22⋊C4—1721no—
1261C22⋊C4—1721no—
1262C22⋊C4—1721no—
1263C22⋊C4—1721no—
1264C22⋊C4—1721no—
1265C22⋊C4—1721no—
1266C22⋊C4—1721no—
1267C22⋊C4—1721no—
1268C22⋊C4—1721no—
1269C22⋊C4—1721no—
1270C22⋊C4—1721no—
1271C22⋊C4—1721no—
1272C22⋊C4—1721no—
1273C22⋊C4C22×Dic4314yes—
1274C22⋊C4C22×Dic4314yes—
1275C22⋊C4C22×Dic4314yes—
1276C22⋊C4C22×Dic4314yes—
1277C22⋊C4C22×Dic4314yes—
1278C22⋊C4C22×Dic4314yes—
1279C22⋊C4C22×Dic4314yes—
1280C22⋊C4C22×Dic4314yes—
1281C22⋊C4C22×Dic4314yes—
1282C22⋊C4C22×Dic4314yes—
1283C22⋊C4C22×Dic4314yes—
1284C22⋊C4C22×Dic4314yes—
1285C42—862no—
1286C42—862no—
1287C42—862no—
1288C42—862no—
1289C42—862no—
1290C42—1721no—
1291C42—1721no—
1292C42—1721no—
1293C42—1721no—
1294C42—1721no—
1295C42—1721no—
1296C42—1721no—
1297C42—1721no—
1298C42—1721no—
1299C42—1721no—
1300C42—1721no—
1301C42—1721no—
1302C42—1721no—
1303C42—1721no—
1304C42—1721no—
1305C42—1721no—
1306C42—1721no—
1307C42C22×Dic4314yes—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23C23×Dic4312yes—
1333C23C23×Dic4312yes—
1334C23C23×Dic4312yes—
1335C23C23×Dic4312yes—
1336C23C24×D4311yescharacteristic
1337Q8—44no—
1338Q8—44no—
1339D4—44no—
1340D4—44no—
1341D4—44no—
1342D4—44no—
1343D4—44no—
1344D4—44no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—44no—
1368C2×C4—44no—
1369C2×C4—44no—
1370C2×C4—44no—
1371C2×C4—432no—
1372C2×C4—432no—
1373C2×C4—432no—
1374C2×C4—861no—
1375C2×C4—861no—
1376C2×C4—861no—
1377C2×C4—861no—
1378C2×C4—861no—
1379C2×C4—861no—
1380C2×C4—861no—
1381C2×C4—861no—
1382C2×C4—861no—
1383C2×C4—861no—
1384C2×C4—861no—
1385C2×C4—861no—
1386C2×C4—861no—
1387C2×C4—861no—
1388C2×C4—861no—
1389C2×C4—861no—
1390C2×C4—861no—
1391C2×C4—861no—
1392C2×C4—861no—
1393C2×C4—861no—
1394C2×C4—861no—
1395C2×C4—861no—
1396C2×C4—861no—
1397C2×C4—861no—
1398C2×C4—861no—
1399C2×C4—861no—
1400C2×C4—861no—
1401C2×C4—861no—
1402C2×C4—861no—
1403C2×C4—861no—
1404C2×C4—861no—
1405C2×C4—861no—
1406C2×C4—861no—
1407C2×C4—861no—
1408C2×C4—861no—
1409C2×C4—861no—
1410C2×C4—861no—
1411C2×C4—861no—
1412C2×C4—861no—
1413C2×C4—861no—
1414C2×C4—861no—
1415C2×C4—861no—
1416C2×C4—861no—
1417C2×C4—861no—
1418C2×C4—861no—
1419C2×C4—3442no—
1420C2×C4—3442no—
1421C2×C4—3442no—
1422C2×C4—3442no—
1423C2×C4—3442no—
1424C2×C4—3442no—
1425C2×C4—1724no—
1426C2×C4—1724no—
1427C2×C4C23×Dic4312yes—
1428C2×C4C23×Dic4312yes—
1429C2×C4C23×Dic4312yes—
1430C2×C4C23×Dic4312yes—
1431C2×C4C23×Dic4312yes—
1432C2×C4C23×Dic4312yes—
1433C2×C4C23×Dic4312yes—
1434C2×C4C23×Dic4312yes—
1435C2×C4C23×Dic4312yes—
1436C2×C4C23×Dic4312yes—
1437C2×C4C23×Dic4312yes—
1438C22—22no—
1439C22—22no—
1440C22—22no—
1441C22—22no—
1442C22—22no—
1443C22—22no—
1444C22—22no—
1445C22—22no—
1446C22—22no—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22C24×Dic4311yescharacteristic
1467C22H(5,𝔽2)×D4311yescharacteristic
1468C22H(5,𝔽2)×D4311yescharacteristic
1469C222−1+4×D4311yescharacteristic
1470C22#1458373411yescharacteristic
1471C22#1458373411yescharacteristic
1472C22#1458373611yescharacteristic
1473C4—22no—
1474C4—22no—
1475C4—22no—
1476C4—22no—
1477C4—22no—
1478C4—22no—
1479C4—22no—
1480C4—22no—
1481C4—22no—
1482C4—22no—
1483C4—22no—
1484C4—862no—
1485C4—862no—
1486C4—862no—
1487C4—1721no—
1488C4—1721no—
1489C4—1721no—
1490C4—1721no—
1491C4—1721no—
1492C4—1721no—
1493C4—1721no—
1494C4—1721no—
1495C4—1721no—
1496C4—1721no—
1497C4—1721no—
1498C4—1721no—
1499C4—1721no—
1500C2—42no—
1501C2—42no—
1502C2—42no—
1503C2—42no—
1504C2H(5,𝔽2)×Dic4311yescharacteristic
1505C2H(5,𝔽2)×Dic4311yescharacteristic
1506C22−1+4×Dic4311yescharacteristic
1507C2#1914875711yescharacteristic
1508C2#1914881411yescharacteristic
1509C2#1914918011yescharacteristic
1510C2#1914922911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
Fitting, prime radicalC2×C43×#562C2
socle, cosocleC23×C43C25
hypercenterC2×#562D43
hypocenterC43#34513
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#562

Complements

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

NH ≅ G/Ntype
1. #19137761C2semidirect
2. #19137752C2semidirect
3. #19137743C2semidirect
4. #19137695C2semidirect
5. #19137680C2semidirect
6. #19137670C2semidirect
7. #19137670C2semidirect
8. #19137647C2semidirect
9. #19137647C2semidirect
10. #19137637C2semidirect
11. #19137626C2semidirect
12. #19137626C2semidirect
13. #19137591C2semidirect
14. #19137591C2semidirect
15. #19137591C2semidirect
16. #19137410C2semidirect
17. #19137410C2semidirect
18. #19137401C2semidirect
19. #19137389C2semidirect
20. #19137389C2semidirect
21. #19137389C2semidirect
22. #19137330C2semidirect
23. #19137330C2semidirect
24. #19137300C2semidirect
25. #19137290C2semidirect
26. #19137290C2semidirect
27. #19137279C2semidirect
28. C22⋊Q8×Dic43C2semidirect
29. #123×Dic43C2semidirect
30. #121×Dic43C2semidirect
172. C43×#562C4semidirect
332. #125×C43C2×C4semidirect
333. #124×C43C2×C4semidirect
334. #124×C43C2×C4semidirect
335. #123×C43C2×C4semidirect
336. #123×C43C2×C4semidirect
337. #123×C43C2×C4semidirect
338. #123×C43C2×C4semidirect
339. C22⋊Q8×C43C2×C4semidirect
340. C22⋊Q8×C43C2×C4semidirect
341. C22⋊Q8×C43C2×C4semidirect
342. C22⋊Q8×C43C2×C4semidirect
343. #121×C43C2×C4semidirect
344. #121×C43C2×C4semidirect
345. #121×C43C2×C4semidirect
346. #121×C43C2×C4semidirect
787. #562Dic43semidirect
943. C43#34513semidirect
964. #125C2×Dic43semidirect
965. #124C2×Dic43semidirect
966. #124C2×Dic43semidirect
967. #123C2×Dic43semidirect
968. #123C2×Dic43semidirect
969. #123C2×Dic43semidirect
970. #123C2×Dic43semidirect
971. C22⋊Q8C2×Dic43semidirect
972. C22⋊Q8C2×Dic43semidirect
973. C22⋊Q8C2×Dic43semidirect
974. C22⋊Q8C2×Dic43semidirect
975. #121C2×Dic43semidirect
976. #121C2×Dic43semidirect
977. #121C2×Dic43semidirect
978. #121C2×Dic43semidirect

Maximal subgroups

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

subgroupindex
#191377612
#191377522
#191377432
#191376952
#191376802
#191376702
#191376472
#191376372
#191376262
#191375912
#191374102
#191374012
#191373892
#191373302
#191373002
#191372902
#191372792
C22⋊Q8×Dic432
#123×Dic432
#121×Dic432
C2×C43×#5622
#3451343