Finite Group Databasebeta

← #25269254

Subgroups — #25269254

Order 11008.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D4×D43C211yesmaximal, characteristic, complemented
2#19142907C211yesmaximal, characteristic, complemented
3#19142891C211yesmaximal, characteristic, complemented
4#19142884C211yesmaximal, characteristic, complemented
5#19142874C211yesmaximal, characteristic, complemented
6#19140492C211yesmaximal, characteristic, complemented
7#19140480C211yesmaximal, characteristic, complemented
8#19140448C211yesmaximal, characteristic, complemented
9#19140434C211yesmaximal, characteristic, complemented
10#19138852C211yesmaximal, characteristic, complemented
11#19138717C211yesmaximal, characteristic, complemented
12#19138642C211yesmaximal, characteristic, complemented
13#19138528C211yesmaximal, characteristic, complemented
14#19138492C211yesmaximal, characteristic, complemented
15#19138483C211yesmaximal, characteristic, complemented
16#19138415C211yesmaximal, characteristic, complemented
17#19138341C211yesmaximal, characteristic, complemented
18#19138327C211yesmaximal, characteristic, complemented
19#19138258C211yesmaximal, characteristic, complemented
20#19138128C211yesmaximal, characteristic, complemented
21#19138127C211yesmaximal, characteristic, complemented
22#19138053C211yesmaximal, characteristic, complemented
23#19137966C211yesmaximal, characteristic, complemented
24#19137965C211yesmaximal, characteristic, complemented
25#19137906C211yesmaximal, characteristic, complemented
26#19137293C211yesmaximal, characteristic, complemented
27#19137253C211yesmaximal, characteristic, complemented
28#19137228C211yesmaximal, characteristic, complemented
29C4×#13063293C211yesmaximal, characteristic, complemented
30C2×#14582775C211yesmaximal, characteristic, complemented
31C2×C43×#538C211yesmaximal, characteristic, complemented
32C23×C22⋊D43C2211yescharacteristic
33C22×D4×D43C2211yescharacteristic
34C23×C4×D43C2211yescharacteristic
35C23×C4×D43C2211yescharacteristic, complemented
36C2×#13063306C2211yescharacteristic, complemented
37C2×#13063301C2211yescharacteristic, complemented
38C2×#13063297C2211yescharacteristic
39C2×#13063296C2211yescharacteristic
40C2×#13063296C2211yescharacteristic
41C2×#13063296C2211yescharacteristic, complemented
42C2×#13063294C2211yescharacteristic
43C2×#13063293C2211yescharacteristic
44C2×#13063293C2211yescharacteristic
45C2×#13063293C2211yescharacteristic
46C2×#13063293C2211yescharacteristic, complemented
47C2×C4×D172C2211yescharacteristic, complemented
48C2×D4×Dic43C2211yescharacteristic
49C2×#13063287C2211yescharacteristic, complemented
50C2×C4×C22⋊D43C2211yescharacteristic
51C2×C4×C22⋊D43C2211yescharacteristic, complemented
52C2×C4×C22⋊D43C2211yescharacteristic, complemented
53C2×C4×C22⋊D43C2211yescharacteristic, complemented
54C2×(C22⋊D43)⋊C4C2211yescharacteristic
55C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
56C4×D4×D43—28no—
57C2×C4⋊C4×D43C2211yescharacteristic, complemented
58C22×C22⋊Dic43C2211yescharacteristic, complemented
59C22×(C2×D43)⋊C4C2211yescharacteristic
60C2×C22⋊C4×D43C2211yescharacteristic
61C2×C22⋊C4×D43C2211yescharacteristic, complemented
62C2×C42×D43C2211yescharacteristic, complemented
63#14582838C2211yescharacteristic, complemented
64#14582837C2211yescharacteristic, complemented
65#14582835C2211yescharacteristic, complemented
66#14582834C2211yescharacteristic, complemented
67#14582832C2211yescharacteristic, complemented
68#14582827C2211yescharacteristic, complemented
69#14582824C2211yescharacteristic, complemented
70#14582824C2211yescharacteristic, complemented
71#14582822C2211yescharacteristic, complemented
72#14582821C2211yescharacteristic, complemented
73#14582821C2211yescharacteristic, complemented
74#14582821C2211yescharacteristic, complemented
75#14582816C2211yescharacteristic, complemented
76#14582815C2211yescharacteristic, complemented
77#14582815C2211yescharacteristic, complemented
78#14582815C2211yescharacteristic, complemented
79#14582814C2211yescharacteristic, complemented
80#14582813C2211yescharacteristic, complemented
81#14582813C2211yescharacteristic, complemented
82#14582813C2211yescharacteristic, complemented
83#14582813C2211yescharacteristic, complemented
84#14582810C2211yescharacteristic, complemented
85#14582810C2211yescharacteristic, complemented
86#14582808C2211yescharacteristic
87#14582808C2211yescharacteristic
88#14582808C2211yescharacteristic, complemented
89#14582807C2211yescharacteristic
90#14582807C2211yescharacteristic
91#14582807C2211yescharacteristic, complemented
92#14582807C2211yescharacteristic, complemented
93#14582807C2211yescharacteristic, complemented
94#14582807C2211yescharacteristic, complemented
95#14582806C2211yescharacteristic, complemented
96#14582802C2211yescharacteristic, complemented
97#14582799C2211yescharacteristic, complemented
98#14582799C2211yescharacteristic, complemented
99#14582793C2211yescharacteristic, complemented
100#14582793C2211yescharacteristic, complemented
101#14582792C2211yescharacteristic, complemented
102#14582792C2211yescharacteristic, complemented
103#14582790C2211yescharacteristic, complemented
104#14582787C2211yescharacteristic, complemented
105#14582787C2211yescharacteristic, complemented
106#14582787C2211yescharacteristic, complemented
107#14582787C2211yescharacteristic, complemented
108#14582787C2211yescharacteristic, complemented
109#14582787C2211yescharacteristic, complemented
110#14582787C2211yescharacteristic, complemented
111#14582785C2211yescharacteristic, complemented
112#14582785C2211yescharacteristic, complemented
113#14582783C2211yescharacteristic, complemented
114#14582780C2211yescharacteristic, complemented
115#14582780C2211yescharacteristic, complemented
116#14582780C2211yescharacteristic, complemented
117#14582779C2211yescharacteristic
118#14582779C2211yescharacteristic
119#14582779C2211yescharacteristic, complemented
120#14582779C2211yescharacteristic, complemented
121#14582779C2211yescharacteristic, complemented
122#14582779C2211yescharacteristic, complemented
123#14582778C2211yescharacteristic
124#14582778C2211yescharacteristic, complemented
125#14582776C2211yescharacteristic
126#14582775C2211yescharacteristic
127#14582775C2211yescharacteristic
128#14582775C2211yescharacteristic
129#14582775C2211yescharacteristic
130#14582775C2211yescharacteristic
131#14582775C2211yescharacteristic
132#14582775C2211yescharacteristic
133#14582775C2211yescharacteristic
134#14582775C2211yescharacteristic, complemented
135#14582775C2211yescharacteristic, complemented
136#14582775C2211yescharacteristic, complemented
137#14582775C2211yescharacteristic, complemented
138#14582775C2211yescharacteristic, complemented
139#14582775C2211yescharacteristic, complemented
140#14582775C2211yescharacteristic, complemented
141#14582775C2211yescharacteristic, complemented
142#14582775C2211yescharacteristic, complemented
143#14582775C2211yescharacteristic, complemented
144#14582775C2211yescharacteristic, complemented
145#14582774C2211yescharacteristic, complemented
146#14582774C2211yescharacteristic, complemented
147#14582772C2211yescharacteristic, complemented
148#14582772C2211yescharacteristic, complemented
149#14582771C2211yescharacteristic, complemented
150#14582770C2211yescharacteristic, complemented
151#14582770C2211yescharacteristic, complemented
152#14582770C2211yescharacteristic, complemented
153#14582770C2211yescharacteristic, complemented
154#14582770C2211yescharacteristic, complemented
155#14582770C2211yescharacteristic, complemented
156#14582770C2211yescharacteristic, complemented
157#14582767C2211yescharacteristic, complemented
158#14582765C2211yescharacteristic, complemented
159#14582762C2211yescharacteristic, complemented
160#14582760C2211yescharacteristic, complemented
161#14582759C2211yescharacteristic, complemented
162#14582757C2211yescharacteristic, complemented
163#14582756C2211yescharacteristic, complemented
164#14582756C2211yescharacteristic, complemented
165#14582755C2211yescharacteristic, complemented
166#14582754C2211yescharacteristic
167#14582754C2211yescharacteristic, complemented
168C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
169C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
170C4×C22⋊Dic43C2211yescharacteristic, complemented
171C2×C43⋊#95C2211yescharacteristic, complemented
172C2×C43⋊#95C2211yescharacteristic, complemented
173C43×#538—28no—
174C2×#126×C43C2211yescharacteristic, complemented
175C2×#126×C43C2211yescharacteristic, complemented
176C2×#124×C43C2211yescharacteristic, complemented
177C2×#124×C43C2211yescharacteristic, complemented
178C2×#123×C43C2211yescharacteristic, complemented
179C2×#123×C43C2211yescharacteristic, complemented
180C2×C22⋊Q8×C43C2211yescharacteristic, complemented
181C2×#121×C43C2211yescharacteristic
182C2×#121×C43C2211yescharacteristic, complemented
183C2×#121×C43C2211yescharacteristic, complemented
184C2×#120×C43C2211yescharacteristic
185C2×#120×C43C2211yescharacteristic, complemented
186C2×C4×D4×C43C2211yescharacteristic
187C2×C4×D4×C43C2211yescharacteristic, complemented
188C22×C22⋊C4×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×C22⋊D43—24no—
193C22×C22⋊D43—42no—
194C22×C22⋊D43—42no—
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C2×D4×D43—24no—
207C2×D4×D43—24no—
208C2×D4×D43—24no—
209C23×Dic43C2311yescharacteristic
210C23×Dic43C2311yescharacteristic
211C23×Dic43C2311yescharacteristic
212C23×Dic43C2311yescharacteristic
213C22×C4×D43—24no—
214C22×C4×D43—24no—
215C22×C4×D43—42no—
216C22×C4×D43—42no—
217C22×C4×D43—42no—
218C22×C4×D43—42no—
219C22×C4×D43C2311yescharacteristic
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224C22×C4×D43C2311yescharacteristic
225C22×C4×D43C2311yescharacteristic
226C22×C4×D43C2311yescharacteristic
227C22×C4×D43C2311yescharacteristic
228#13063306—42no—
229#13063301—42no—
230#13063297—24no—
231#13063296—42no—
232#13063296—42no—
233#13063296—42no—
234#13063294—24no—
235#13063293—24no—
236#13063293—42no—
237#13063293—42no—
238#13063293—42no—
239C4×D172—24no—
240D4×Dic43—24no—
241#13063287—24no—
242C4×C22⋊D43—24no—
243C4×C22⋊D43—24no—
244C4×C22⋊D43—42no—
245C4×C22⋊D43—42no—
246(C22⋊D43)⋊C4—24no—
247(C22⋊D43)⋊C4—24no—
248C2×C4⋊Dic43C2311yescharacteristic
249C2×C4⋊Dic43C2311yescharacteristic
250C2×C4⋊Dic43C2311yescharacteristic
251C2×C4⋊Dic43C2311yescharacteristic
252C2×C4⋊Dic43C2311yescharacteristic
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C4⋊C4×D43—24no—
263C2×C22⋊Dic43—42no—
264C2×C22⋊Dic43C2311yescharacteristic
265C2×C22⋊Dic43C2311yescharacteristic
266C2×C22⋊Dic43C2311yescharacteristic
267C2×C22⋊Dic43C2311yescharacteristic
268C2×C22⋊Dic43C2311yescharacteristic
269C2×C22⋊Dic43C2311yescharacteristic
270C2×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C22⋊Dic43C2311yescharacteristic
287C2×(C2×D43)⋊C4—42no—
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C22⋊C4×D43—24no—
308C22⋊C4×D43—24no—
309C2×C4×Dic43C2311yescharacteristic
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
312C2×C4×Dic43C2311yescharacteristic
313C2×C4×Dic43C2311yescharacteristic
314C42×D43—24no—
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C25×C43C2311yescharacteristic
348C22×Q8×C43C2311yescharacteristic
349C22×D4×C43C2311yescharacteristic
350C22×D4×C43C2311yescharacteristic
351C22×D4×C43C2311yescharacteristic
352C22×D4×C43C2311yescharacteristic
353C22×D4×C43C2311yescharacteristic
354C22×D4×C43C2311yescharacteristic
355C22×D4×C43C2311yescharacteristic
356C23×C4×C43C2311yescharacteristic
357C23×C4×C43C2311yescharacteristic
358C23×C4×C43C2311yescharacteristic
359C23×C4×C43C2311yescharacteristic
360#126×C43—24no—
361#126×C43—24no—
362#124×C43—24no—
363#124×C43—24no—
364#123×C43—24no—
365#123×C43—24no—
366C22⋊Q8×C43—24no—
367#121×C43—24no—
368#121×C43—24no—
369#121×C43—24no—
370#120×C43—24no—
371#120×C43—24no—
372C4×D4×C43—24no—
373C4×D4×C43D418yescomplemented
374C2×C4⋊C4×C43C2311yescharacteristic
375C2×C4⋊C4×C43C2311yescharacteristic
376C2×C4⋊C4×C43C2311yescharacteristic
377C2×C4⋊C4×C43C2311yescharacteristic
378C2×C4⋊C4×C43C2311yescharacteristic
379C2×C4⋊C4×C43C2311yescharacteristic
380C2×C22⋊C4×C43—24no—
381C2×C22⋊C4×C43C2311yescharacteristic
382C2×C22⋊C4×C43C2311yescharacteristic
383C2×C22⋊C4×C43C2311yescharacteristic
384C2×C22⋊C4×C43C2311yescharacteristic
385C2×C22⋊C4×C43C2311yescharacteristic
386C2×C22⋊C4×C43C2311yescharacteristic
387C2×C22⋊C4×C43C2311yescharacteristic
388C2×C22⋊C4×C43C2311yescharacteristic
389C2×C22⋊C4×C43C2311yescharacteristic
390C2×C22⋊C4×C43C2311yescharacteristic
391C2×C22⋊C4×C43C2311yescharacteristic
392C2×C22⋊C4×C43C2311yescharacteristic
393C2×C22⋊C4×C43C2311yescharacteristic
394C2×C22⋊C4×C43C2311yescharacteristic
395C2×C42×C43C2311yescharacteristic
396C2×C42×C43C2311yescharacteristic
397C24×C43—22no—
398C24×C43—22no—
399C24×C43—22no—
400C24×C43—41no—
401C24×C43—41no—
402C24×C43—41no—
403C24×C43—41no—
404C24×C43C2411yescharacteristic
405C24×C43C2411yescharacteristic
406C24×C43C2411yescharacteristic
407C24×C43C2411yescharacteristic
408C24×C43C2411yescharacteristic
409C23×D43—22no—
410C23×D43—22no—
411C23×D43—22no—
412C23×D43—22no—
413C23×D43—22no—
414C23×D43—22no—
415C23×D43—22no—
416C23×D43—22no—
417C23×D43—22no—
418C23×D43—41no—
419C23×D43—41no—
420C23×D43—41no—
421C23×D43—41no—
422C23×D43#4114yes—
423C23×D43C2411yescharacteristic
424C23×D43C2411yescharacteristic
425C23×D43C2411yescharacteristic
426C2×Q8×C43—22no—
427C2×Q8×C43—41no—
428C2×Q8×C43—41no—
429C2×D4×C43—22no—
430C2×D4×C43—22no—
431C2×D4×C43—22no—
432C2×D4×C43—22no—
433C2×D4×C43—22no—
434C2×D4×C43—22no—
435C2×D4×C43—22no—
436C2×D4×C43—22no—
437C2×D4×C43—22no—
438C2×D4×C43—22no—
439C2×D4×C43—41no—
440C2×D4×C43—41no—
441C2×D4×C43—41no—
442C2×D4×C43—41no—
443C2×D4×C43—41no—
444C2×D4×C43—41no—
445C2×D4×C43—41no—
446C2×D4×C43—41no—
447C2×D4×C43—41no—
448C2×D4×C43—41no—
449C2×D4×C43C2×D414yes—
450C22×C4×C43—22no—
451C22×C4×C43—22no—
452C22×C4×C43—41no—
453C22×C4×C43—41no—
454C22×C4×C43—41no—
455C22×C4×C43—41no—
456C22×C4×C43—41no—
457C22×C4×C43—41no—
458C22×C4×C43—41no—
459C22×C4×C43—41no—
460C22×C4×C43C2×D414yes—
461C22×C4×C43C2×D414yescomplemented
462C22×C4×C43C2411yescharacteristic
463C22×C4×C43C2411yescharacteristic
464C22×C4×C43C2411yescharacteristic
465C22×C4×C43C2411yescharacteristic
466C22×C4×C43C2411yescharacteristic
467C22×C4×C43C2411yescharacteristic
468C22×C4×C43C2411yescharacteristic
469C22×C4×C43C2411yescharacteristic
470C22×C4×C43C2411yescharacteristic
471C22×C4×C43C2411yescharacteristic
472C2×C22⋊D43—22no—
473C2×C22⋊D43—22no—
474C2×C22⋊D43—22no—
475C2×C22⋊D43—22no—
476C2×C22⋊D43—22no—
477C2×C22⋊D43—22no—
478C2×C22⋊D43—22no—
479C2×C22⋊D43—22no—
480C2×C22⋊D43—22no—
481C2×C22⋊D43—22no—
482C2×C22⋊D43—22no—
483C2×C22⋊D43—22no—
484C2×C22⋊D43—22no—
485C2×C22⋊D43—22no—
486C2×C22⋊D43—22no—
487C2×C22⋊D43—22no—
488C2×C22⋊D43—22no—
489C2×C22⋊D43—22no—
490C2×C22⋊D43—22no—
491C2×C22⋊D43—22no—
492C2×C22⋊D43—41no—
493C2×C22⋊D43—41no—
494C2×C22⋊D43—41no—
495C2×C22⋊D43—41no—
496C2×C22⋊D43—41no—
497C2×C22⋊D43—41no—
498C2×C22⋊D43—41no—
499C2×C22⋊D43—41no—
500C2×C22⋊D43—41no—
501C2×C22⋊D43—41no—
502C2×C22⋊D43—41no—
503C2×C22⋊D43—41no—
504C2×C22⋊D43—416no—
505C2×C22⋊D43#4114yes—
506C22×Dic43—22no—
507C22×Dic43—22no—
508C22×Dic43—22no—
509C22×Dic43—22no—
510C22×Dic43—22no—
511C22×Dic43—22no—
512C22×Dic43—41no—
513C22×Dic43—41no—
514C22×Dic43—41no—
515C22×Dic43—41no—
516C22×Dic43—41no—
517C22×Dic43—41no—
518C22×Dic43C2411yescharacteristic
519C22×Dic43C2411yescharacteristic
520C22×Dic43C2411yescharacteristic
521C22×Dic43C2411yescharacteristic
522C22×Dic43C2411yescharacteristic
523C22×Dic43C2411yescharacteristic
524C22×Dic43C2411yescharacteristic
525C22×Dic43C2411yescharacteristic
526C22×Dic43C2411yescharacteristic
527C22×Dic43C2411yescharacteristic
528C22×Dic43C2411yescharacteristic
529C22×Dic43C2411yescharacteristic
530C22×Dic43C2411yescharacteristic
531D4×D43—232no—
532C2×D172—22no—
533C2×D172—22no—
534C2×D172—22no—
535C2×C4×D43—22no—
536C2×C4×D43—22no—
537C2×C4×D43—22no—
538C2×C4×D43—22no—
539C2×C4×D43—22no—
540C2×C4×D43—22no—
541C2×C4×D43—22no—
542C2×C4×D43—22no—
543C2×C4×D43—22no—
544C2×C4×D43—22no—
545C2×C4×D43—22no—
546C2×C4×D43—22no—
547C2×C4×D43—22no—
548C2×C4×D43—22no—
549C2×C4×D43—22no—
550C2×C4×D43—22no—
551C2×C4×D43—22no—
552C2×C4×D43—22no—
553C2×C4×D43—41no—
554C2×C4×D43—41no—
555C2×C4×D43—41no—
556C2×C4×D43—41no—
557C2×C4×D43—41no—
558C2×C4×D43—41no—
559C2×C4×D43—41no—
560C2×C4×D43—41no—
561C2×C4×D43—41no—
562C2×C4×D43—416no—
563C2×C4×D43—416no—
564C4⋊C4×C43—22no—
565C4⋊C4×C43—22no—
566C4⋊C4×C43—22no—
567C4⋊C4×C43—22no—
568C4⋊C4×C43—22no—
569C4⋊C4×C43C2×D414yescomplemented
570C22⋊C4×C43—22no—
571C22⋊C4×C43—22no—
572C22⋊C4×C43—22no—
573C22⋊C4×C43—22no—
574C22⋊C4×C43—22no—
575C22⋊C4×C43—22no—
576C22⋊C4×C43—22no—
577C22⋊C4×C43—22no—
578C22⋊C4×C43—22no—
579C22⋊C4×C43—22no—
580C22⋊C4×C43—22no—
581C22⋊C4×C43—22no—
582C22⋊C4×C43C2×D414yes—
583C22⋊C4×C43C2×D414yescomplemented
584C42×C43—22no—
585C42×C43C2×D414yescomplemented
586C22⋊Dic43—22no—
587C22⋊Dic43—22no—
588C22⋊Dic43—22no—
589C22⋊Dic43—22no—
590C22⋊Dic43—22no—
591C22⋊Dic43—22no—
592C22⋊Dic43—22no—
593C22⋊Dic43—22no—
594C22⋊Dic43—22no—
595C22⋊Dic43—22no—
596C22⋊Dic43—41no—
597C22⋊Dic43—41no—
598C22⋊Dic43—41no—
599C22⋊Dic43—41no—
600C22⋊Dic43—41no—
601C22⋊Dic43—41no—
602C22⋊Dic43—41no—
603C22⋊Dic43—41no—
604C22⋊Dic43—41no—
605C22⋊Dic43—41no—
606C22⋊Dic43—41no—
607C22⋊Dic43—41no—
608C22⋊Dic43—41no—
609(C2×D43)⋊C4—22no—
610(C2×D43)⋊C4—22no—
611(C2×D43)⋊C4—22no—
612(C2×D43)⋊C4—22no—
613(C2×D43)⋊C4—22no—
614(C2×D43)⋊C4—22no—
615(C2×D43)⋊C4—22no—
616(C2×D43)⋊C4—22no—
617(C2×D43)⋊C4—22no—
618(C2×D43)⋊C4—22no—
619(C2×D43)⋊C4—22no—
620(C2×D43)⋊C4—41no—
621(C2×D43)⋊C4—41no—
622(C2×D43)⋊C4—41no—
623(C2×D43)⋊C4—41no—
624(C2×D43)⋊C4—41no—
625(C2×D43)⋊C4—41no—
626(C2×D43)⋊C4—41no—
627(C2×D43)⋊C4—41no—
628C4⋊Dic43—22no—
629C4⋊Dic43—41no—
630C4⋊Dic43—41no—
631C4⋊Dic43—41no—
632C4⋊Dic43—41no—
633Dic43⋊C4—22no—
634Dic43⋊C4—22no—
635Dic43⋊C4—22no—
636Dic43⋊C4—22no—
637Dic43⋊C4—41no—
638Dic43⋊C4—41no—
639Dic43⋊C4—41no—
640Dic43⋊C4—41no—
641Dic43⋊C4—41no—
642C4×Dic43—22no—
643C4×Dic43—22no—
644C4×Dic43—22no—
645C4×Dic43—41no—
646C4×Dic43—41no—
647C23×C43—21no—
648C23×C43—21no—
649C23×C43—21no—
650C23×C43—21no—
651C23×C43—21no—
652C23×C43—21no—
653C23×C43—21no—
654C23×C43—21no—
655C23×C43—21no—
656C23×C43—21no—
657C23×C43—21no—
658C23×C43—21no—
659C23×C43—21no—
660C23×C43—21no—
661C23×C43—21no—
662C23×C43—21no—
663C23×C43—21no—
664C23×C43—21no—
665C23×C43—21no—
666C23×C43—21no—
667C23×C43—21no—
668C23×C43—21no—
669C23×C43—21no—
670C23×C43—21no—
671C23×C43—21no—
672C23×C43—21no—
673C23×C43—21no—
674C23×C43—21no—
675C23×C43—21no—
676C23×C43—21no—
677C23×C43—21no—
678C23×C43—44no—
679C23×C43—44no—
680C23×C43—44no—
681C23×C43—82no—
682C23×C43—82no—
683C23×C43—82no—
684C23×C43—82no—
685C23×C43C22×D412yes—
686C23×C43C22×D412yes—
687C23×C43C2×#4112yes—
688C23×C43C2×#4112yes—
689C23×C43C2511yescharacteristic
690C22×D43—21no—
691C22×D43—21no—
692C22×D43—21no—
693C22×D43—21no—
694C22×D43—28no—
695C22×D43—28no—
696C22×D43—21no—
697C22×D43—21no—
698C22×D43—21no—
699C22×D43—21no—
700C22×D43—21no—
701C22×D43—21no—
702C22×D43—21no—
703C22×D43—21no—
704C22×D43—21no—
705C22×D43—21no—
706C22×D43—21no—
707C22×D43—21no—
708C22×D43—28no—
709C22×D43—44no—
710C22×D43—44no—
711C22×D43—44no—
712C22×D43—44no—
713C22×D43—44no—
714C22×D43—44no—
715C22×D43—44no—
716C22×D43—44no—
717C22×D43—44no—
718C22×D43—44no—
719C22×D43—44no—
720C22×D43C2×#4112yes—
721C22×D43C2×#4112yes—
722C22×D43C2×#4112yes—
723C22×D43H(5,𝔽2)12yes—
724C22×D43H(5,𝔽2)12yes—
725Q8×C43—82no—
726D4×C43—28no—
727D4×C43—44no—
728D4×C43—82no—
729D4×C43—82no—
730D4×C43—82no—
731D4×C43—82no—
732D4×C43—82no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—21no—
743C2×C4×C43—21no—
744C2×C4×C43—21no—
745C2×C4×C43—21no—
746C2×C4×C43—21no—
747C2×C4×C43—21no—
748C2×C4×C43—21no—
749C2×C4×C43—21no—
750C2×C4×C43—21no—
751C2×C4×C43—21no—
752C2×C4×C43—21no—
753C2×C4×C43—21no—
754C2×C4×C43—21no—
755C2×C4×C43—21no—
756C2×C4×C43—21no—
757C2×C4×C43—21no—
758C2×C4×C43—44no—
759C2×C4×C43—44no—
760C2×C4×C43—82no—
761C2×C4×C43—82no—
762C2×C4×C43C22×D412yes—
763C2×C4×C43C22×D412yes—
764C2×C4×C43C22×D412yes—
765C2×C4×C43C22×D412yes—
766C2×C4×C43C22×D412yes—
767C22⋊D43—28no—
768C22⋊D43—28no—
769C22⋊D43—44no—
770C22⋊D43—44no—
771C22⋊D43—44no—
772C22⋊D43—44no—
773C22⋊D43—44no—
774C22⋊D43—44no—
775C22⋊D43—82no—
776C22⋊D43—82no—
777C22⋊D43—82no—
778C2×Dic43—21no—
779C2×Dic43—21no—
780C2×Dic43—21no—
781C2×Dic43—21no—
782C2×Dic43—21no—
783C2×Dic43—21no—
784C2×Dic43—21no—
785C2×Dic43—21no—
786C2×Dic43—21no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—21no—
793C2×Dic43—21no—
794C2×Dic43—21no—
795C2×Dic43—21no—
796C2×Dic43—21no—
797C2×Dic43—21no—
798C2×Dic43—21no—
799C2×Dic43—21no—
800C2×Dic43—21no—
801C2×Dic43—21no—
802C2×Dic43—21no—
803C2×Dic43—21no—
804C2×Dic43—21no—
805C2×Dic43—21no—
806C2×Dic43—21no—
807C2×Dic43—21no—
808C2×Dic43—21no—
809C2×Dic43—21no—
810C2×Dic43—21no—
811C2×Dic43—21no—
812C2×Dic43—21no—
813C2×Dic43—21no—
814C2×Dic43—21no—
815C2×Dic43—44no—
816C2×Dic43—44no—
817C2×Dic43—44no—
818C2×Dic43—82no—
819C2×Dic43C2×#4112yes—
820C2×Dic43H(5,𝔽2)12yes—
821D172—28no—
822C4×D43—28no—
823C4×D43—28no—
824C4×D43—44no—
825C4×D43—44no—
826C4×D43—44no—
827C4×D43—44no—
828C4×D43—44no—
829C4×D43—44no—
830C4×D43—44no—
831#34990—431nomaximal, Sylow
832C22×C43—22no—
833C22×C43—22no—
834C22×C43—22no—
835C22×C43—22no—
836C22×C43—22no—
837C22×C43—22no—
838C22×C43—22no—
839C22×C43—22no—
840C22×C43—22no—
841C22×C43—41no—
842C22×C43—41no—
843C22×C43—41no—
844C22×C43—41no—
845C22×C43—41no—
846C22×C43—41no—
847C22×C43—41no—
848C22×C43—41no—
849C22×C43—41no—
850C22×C43—41no—
851C22×C43—41no—
852C22×C43—41no—
853C22×C43—41no—
854C22×C43—41no—
855C22×C43—41no—
856C22×C43—41no—
857C22×C43—41no—
858C22×C43—41no—
859C22×C43—41no—
860C22×C43—41no—
861C22×C43—41no—
862C22×C43—41no—
863C22×C43—41no—
864C22×C43—41no—
865C22×C43—41no—
866C22×C43—88no—
867C22×C43#52514yes—
868C22×C43C23×D411yescharacteristic
869C22×C43C22×#4111yescharacteristic
870C22×C43C22×#4111yescharacteristic
871C22×C43C2×H(5,𝔽2)11yescharacteristic
872C22×C43C2×H(5,𝔽2)11yescharacteristic
873C22×C43C2×H(5,𝔽2)11yescharacteristic
874C22×C43#58511yescharacteristic
875C2×D43—22no—
876C2×D43—22no—
877C2×D43—22no—
878C2×D43—22no—
879C2×D43—22no—
880C2×D43—22no—
881C2×D43—22no—
882C2×D43—22no—
883C2×D43—22no—
884C2×D43—22no—
885C2×D43—22no—
886C2×D43—22no—
887C2×D43—416no—
888C2×D43—416no—
889C2×D43—41no—
890C2×D43—41no—
891C2×D43—41no—
892C2×D43—41no—
893C2×D43—41no—
894C2×D43—41no—
895C2×D43—41no—
896C2×D43—41no—
897C2×D43#53814yescomplemented
898C4×C43—22no—
899C4×C43—22no—
900C4×C43—22no—
901C4×C43—22no—
902C4×C43—22no—
903C4×C43—41no—
904C4×C43—41no—
905C4×C43—41no—
906C4×C43—41no—
907C4×C43—41no—
908Dic43—22no—
909Dic43—22no—
910Dic43—41no—
911Dic43—41no—
912Dic43—41no—
913Dic43—41no—
914Dic43—41no—
915Dic43—41no—
916Dic43—41no—
917Dic43—41no—
918Dic43—41no—
919Dic43—41no—
920Dic43—41no—
921C2×#538D4311yescharacteristic, complemented
922C22×C4×D4—431no—
923#2852—431no—
924#2850—431no—
925#2849—431no—
926#2847—431no—
927#2636—431no—
928#2635—431no—
929#2631—431no—
930#2630—431no—
931#2481—431no—
932#2472—431no—
933#2467—431no—
934#2459—431no—
935#2456—431no—
936#2456—431no—
937#2450—431no—
938#2444—431no—
939#2443—431no—
940#2437—431no—
941#2424—431no—
942#2424—431no—
943#2418—431no—
944#2410—431no—
945#2410—431no—
946#2403—431no—
947#2325—431no—
948#2321—431no—
949#2318—431no—
950C4×#120—431no—
951C2×#386—431no—
952C2×C43—24no—
953C2×C43—42no—
954C2×C43—81no—
955C2×C43—81no—
956C2×C43—81no—
957C2×C43C2×#52511yescharacteristic
958C2×C43C2×#53811yescharacteristic
959C2×C43#345911yescharacteristic
960C2×C43#348411yescharacteristic
961C2×C43#348811yescharacteristic
962C2×C43#351311yescharacteristic
963C2×C43#351911yescharacteristic
964D43—24no—
965D43—42no—
966D43—42no—
967C23×D4—431no—
968C23×D4—431no—
969C24×C4—431no—
970C24×C4—431no—
971#538—28no—
972C2×#126C2×D4311yescharacteristic, complemented
973C2×#126C2×D4311yescharacteristic, complemented
974C2×#124C2×D4311yescharacteristic, complemented
975C2×#124C2×D4311yescharacteristic, complemented
976C2×#123—431no—
977C2×#123C2×D4311yescharacteristic, complemented
978C2×#123C2×D4311yescharacteristic, complemented
979C2×C22⋊Q8—431no—
980C2×C22⋊Q8C2×D4311yescharacteristic, complemented
981C2×#121—431no—
982C2×#121—431no—
983C2×#121—431no—
984C2×#121—431no—
985C2×#121C2×D4311yescharacteristic
986C2×#121C2×D4311yescharacteristic, complemented
987C2×#121C2×D4311yescharacteristic, complemented
988C2×#120—431no—
989C2×#120—431no—
990C2×#120—431no—
991C2×#120—431no—
992C2×#120—431no—
993C2×#120C2×D4311yescharacteristic
994C2×#120C2×D4311yescharacteristic, complemented
995C2×C4×D4—431no—
996C2×C4×D4—431no—
997C2×C4×D4—431no—
998C2×C4×D4—431no—
999C2×C4×D4—431no—
1000C2×C4×D4—431no—
1001C2×C4×D4—431no—
1002C2×C4×D4—431no—
1003C2×C4×D4—431no—
1004C2×C4×D4—868no—
1005C2×C4×D4C2×D4311yescharacteristic
1006C2×C4×D4C2×D4311yescharacteristic, complemented
1007C22×C4⋊C4—431no—
1008C22×C22⋊C4—431no—
1009C22×C22⋊C4—431no—
1010C22×C22⋊C4—431no—
1011C22×C22⋊C4—431no—
1012C22×C22⋊C4C2×D4311yescharacteristic, complemented
1013C22×C42—431no—
1014#400—431no—
1015#400—431no—
1016#399—431no—
1017#399—431no—
1018#398—431no—
1019#397—431no—
1020#397—431no—
1021#397—431no—
1022#396—431no—
1023#396—431no—
1024#396—431no—
1025#396—431no—
1026#394—431no—
1027#394—431no—
1028#394—431no—
1029#394—431no—
1030#394—431no—
1031#394—431no—
1032#394—431no—
1033#394—431no—
1034#394—431no—
1035#393—431no—
1036#393—431no—
1037#392—431no—
1038#392—431no—
1039#392—431no—
1040#392—431no—
1041#392—431no—
1042#392—431no—
1043#392—431no—
1044#392—431no—
1045#392—431no—
1046#391—431no—
1047#390—431no—
1048#390—431no—
1049#390—431no—
1050#388—431no—
1051#388—431no—
1052#388—431no—
1053#388—431no—
1054#388—431no—
1055#388—431no—
1056#388—431no—
1057#388—431no—
1058#388—431no—
1059#388—431no—
1060#388—431no—
1061#388—431no—
1062#387—431no—
1063#387—431no—
1064#387—431no—
1065#387—431no—
1066#387—431no—
1067#387—431no—
1068#386—431no—
1069#386—431no—
1070#386—431no—
1071#386—431no—
1072#386—431no—
1073#386—431no—
1074#386—431no—
1075#386—431no—
1076#386—431no—
1077#386—431no—
1078#386—431no—
1079#386—431no—
1080#386—431no—
1081#386—431no—
1082#386—431no—
1083#386—431no—
1084#386—431no—
1085#386—431no—
1086#386—431no—
1087#386—431no—
1088#386—431no—
1089#386—431no—
1090#386—431no—
1091#386—431no—
1092#386—431no—
1093#386—431no—
1094#386—431no—
1095#386—431no—
1096#385—431no—
1097#385—431no—
1098#385—431no—
1099#385—431no—
1100#385—431no—
1101#385—431no—
1102#385—431no—
1103#385—431no—
1104#385—431no—
1105#385—431no—
1106#385—431no—
1107#385—431no—
1108#383—431no—
1109#382—431no—
1110#381—431no—
1111#381—431no—
1112#380—431no—
1113#380—431no—
1114#380—431no—
1115#380—431no—
1116#379—431no—
1117#379—431no—
1118#379—431no—
1119C4×C22⋊C4—431no—
1120C4×C22⋊C4—431no—
1121C4×C22⋊C4—431no—
1122C2×#95—431no—
1123C2×#95—431no—
1124C43#3499011yescharacteristic, complemented, Sylow
1125C25—431no—
1126C25—431no—
1127C25C22×D4311yescharacteristic
1128C22×Q8C22×D4311yescharacteristic
1129C22×D4—431no—
1130C22×D4—431no—
1131C22×D4—431no—
1132C22×D4—431no—
1133C22×D4—431no—
1134C22×D4—431no—
1135C22×D4—431no—
1136C22×D4—431no—
1137C22×D4—431no—
1138C22×D4—431no—
1139C22×D4—431no—
1140C22×D4—431no—
1141C22×D4—864no—
1142C22×D4—864no—
1143C22×D4—864no—
1144C22×D4—864no—
1145C22×D4—1722no—
1146C22×D4—1722no—
1147C22×D4C22×D4311yescharacteristic
1148C22×D4C22×D4311yescharacteristic
1149C22×D4C22×D4311yescharacteristic
1150C22×D4C22×D4311yescharacteristic
1151C22×D4C22×D4311yescharacteristic
1152C22×D4C22×D4311yescharacteristic
1153C22×D4C22×D4311yescharacteristic
1154C23×C4—431no—
1155C23×C4—431no—
1156C23×C4—431no—
1157C23×C4—431no—
1158C23×C4—431no—
1159C23×C4—431no—
1160C23×C4—431no—
1161C23×C4—431no—
1162C23×C4—431no—
1163C23×C4—431no—
1164C23×C4—431no—
1165C23×C4—431no—
1166C23×C4—431no—
1167C23×C4—864no—
1168C23×C4—864no—
1169C23×C4—1722no—
1170C23×C4—1722no—
1171C23×C4—1722no—
1172C23×C4—1722no—
1173C23×C4C22×D4311yescharacteristic
1174C23×C4C22×D4311yescharacteristic
1175C23×C4C22×D4311yescharacteristic
1176C23×C4C22×D4311yescharacteristic
1177#126—24no—
1178#126—24no—
1179#124—24no—
1180#124—24no—
1181#123—24no—
1182#123—24no—
1183#123—1722no—
1184C22⋊Q8—24no—
1185C22⋊Q8—1722no—
1186#121—24no—
1187#121—24no—
1188#121—24no—
1189#121—864no—
1190#121—1722no—
1191#121—1722no—
1192#121—1722no—
1193#120—24no—
1194#120—24no—
1195#120—864no—
1196#120—864no—
1197#120—1722no—
1198#120—1722no—
1199#120—1722no—
1200C4×D4—24no—
1201C4×D4—864no—
1202C4×D4—864no—
1203C4×D4—864no—
1204C4×D4—864no—
1205C4×D4—864no—
1206C4×D4—864no—
1207C4×D4—864no—
1208C4×D4—1722no—
1209C4×D4—1722no—
1210C4×D4C22⋊D4318yescomplemented
1211C2×C4⋊C4—431no—
1212C2×C4⋊C4—431no—
1213C2×C4⋊C4—431no—
1214C2×C4⋊C4—431no—
1215C2×C4⋊C4—431no—
1216C2×C4⋊C4—431no—
1217C2×C4⋊C4—431no—
1218C2×C4⋊C4—431no—
1219C2×C4⋊C4—431no—
1220C2×C4⋊C4—431no—
1221C2×C4⋊C4—431no—
1222C2×C4⋊C4—431no—
1223C2×C4⋊C4—431no—
1224C2×C4⋊C4—431no—
1225C2×C4⋊C4—864no—
1226C2×C4⋊C4C22×D4311yescharacteristic
1227C2×C4⋊C4C22×D4311yescharacteristic
1228C2×C4⋊C4C22×D4311yescharacteristic
1229C2×C4⋊C4C22×D4311yescharacteristic
1230C2×C4⋊C4C22×D4311yescharacteristic
1231C2×C4⋊C4C22×D4311yescharacteristic
1232C2×C22⋊C4—24no—
1233C2×C22⋊C4—431no—
1234C2×C22⋊C4—431no—
1235C2×C22⋊C4—431no—
1236C2×C22⋊C4—431no—
1237C2×C22⋊C4—431no—
1238C2×C22⋊C4—431no—
1239C2×C22⋊C4—431no—
1240C2×C22⋊C4—431no—
1241C2×C22⋊C4—431no—
1242C2×C22⋊C4—431no—
1243C2×C22⋊C4—431no—
1244C2×C22⋊C4—431no—
1245C2×C22⋊C4—431no—
1246C2×C22⋊C4—431no—
1247C2×C22⋊C4—431no—
1248C2×C22⋊C4—431no—
1249C2×C22⋊C4—431no—
1250C2×C22⋊C4—431no—
1251C2×C22⋊C4—431no—
1252C2×C22⋊C4—431no—
1253C2×C22⋊C4—431no—
1254C2×C22⋊C4—431no—
1255C2×C22⋊C4—431no—
1256C2×C22⋊C4—431no—
1257C2×C22⋊C4—431no—
1258C2×C22⋊C4—431no—
1259C2×C22⋊C4—431no—
1260C2×C22⋊C4—431no—
1261C2×C22⋊C4—431no—
1262C2×C22⋊C4—431no—
1263C2×C22⋊C4—431no—
1264C2×C22⋊C4—431no—
1265C2×C22⋊C4—431no—
1266C2×C22⋊C4—431no—
1267C2×C22⋊C4—431no—
1268C2×C22⋊C4—431no—
1269C2×C22⋊C4—431no—
1270C2×C22⋊C4—431no—
1271C2×C22⋊C4—431no—
1272C2×C22⋊C4—431no—
1273C2×C22⋊C4—431no—
1274C2×C22⋊C4—431no—
1275C2×C22⋊C4—864no—
1276C2×C22⋊C4—864no—
1277C2×C22⋊C4—1722no—
1278C2×C22⋊C4—1722no—
1279C2×C22⋊C4C22×D4311yescharacteristic
1280C2×C22⋊C4C22×D4311yescharacteristic
1281C2×C22⋊C4C22×D4311yescharacteristic
1282C2×C22⋊C4C22×D4311yescharacteristic
1283C2×C22⋊C4C22×D4311yescharacteristic
1284C2×C22⋊C4C22×D4311yescharacteristic
1285C2×C22⋊C4C22×D4311yescharacteristic
1286C2×C22⋊C4C22×D4311yescharacteristic
1287C2×C22⋊C4C22×D4311yescharacteristic
1288C2×C22⋊C4C22×D4311yescharacteristic
1289C2×C22⋊C4C22×D4311yescharacteristic
1290C2×C22⋊C4C22×D4311yescharacteristic
1291C2×C22⋊C4C22×D4311yescharacteristic
1292C2×C22⋊C4C22×D4311yescharacteristic
1293C2×C42—431no—
1294C2×C42—431no—
1295C2×C42—431no—
1296C2×C42—431no—
1297C2×C42—431no—
1298C2×C42—864no—
1299C2×C42C22×D4311yescharacteristic
1300C2×C42C22×D4311yescharacteristic
1301#95—431no—
1302#95—431no—
1303#95—431no—
1304#95—431no—
1305#95—431no—
1306#95—431no—
1307#95—431no—
1308#95—431no—
1309#95—431no—
1310#95—431no—
1311#95—431no—
1312#95—431no—
1313#95—431no—
1314#95—431no—
1315#95—431no—
1316#95—431no—
1317#95—431no—
1318#95—431no—
1319#95—431no—
1320#95—431no—
1321#95—431no—
1322#95—431no—
1323#95—431no—
1324#95—431no—
1325#95—431no—
1326#95—431no—
1327#95—431no—
1328#95—431no—
1329#95—431no—
1330#95—431no—
1331#95—431no—
1332#95—431no—
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—41no—
1337C24—41no—
1338C24—41no—
1339C24—41no—
1340C24—431no—
1341C24—431no—
1342C24—431no—
1343C24—434no—
1344C24—862no—
1345C24—862no—
1346C24—862no—
1347C24—862no—
1348C24—862no—
1349C24—862no—
1350C24—862no—
1351C24—862no—
1352C24—862no—
1353C24—1721no—
1354C24—1721no—
1355C24—1721no—
1356C24—1721no—
1357C24C23×D4311yescharacteristic
1358C24C23×D4311yescharacteristic
1359C24C23×D4311yescharacteristic
1360C24C23×D4311yescharacteristic
1361C24C23×D4311yescharacteristic
1362C2×Q8—22no—
1363C2×Q8—41no—
1364C2×Q8—41no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—434no—
1386C2×D4—862no—
1387C2×D4—862no—
1388C2×D4—862no—
1389C2×D4—8632no—
1390C2×D4—862no—
1391C2×D4—862no—
1392C2×D4—862no—
1393C2×D4—862no—
1394C2×D4—862no—
1395C2×D4—862no—
1396C2×D4—862no—
1397C2×D4—862no—
1398C2×D4—862no—
1399C2×D4—862no—
1400C2×D4—862no—
1401C2×D4—862no—
1402C2×D4—862no—
1403C2×D4—862no—
1404C2×D4—862no—
1405C2×D4—862no—
1406C2×D4—862no—
1407C2×D4—862no—
1408C2×D4—862no—
1409C2×D4—862no—
1410C2×D4—1721no—
1411C2×D4—1721no—
1412C2×D4—1721no—
1413C2×D4—1721no—
1414C2×D4—1721no—
1415C2×D4—1721no—
1416C2×D4—1721no—
1417C2×D4—1721no—
1418C2×D4—1721no—
1419C2×D4—1721no—
1420C2×D4—1721no—
1421C2×D4—1721no—
1422C2×D4—17216no—
1423C2×D4C2×C22⋊D4314yes—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—41no—
1427C22×C4—41no—
1428C22×C4—41no—
1429C22×C4—41no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—41no—
1433C22×C4—41no—
1434C22×C4—431no—
1435C22×C4—431no—
1436C22×C4—431no—
1437C22×C4—431no—
1438C22×C4—431no—
1439C22×C4—431no—
1440C22×C4—431no—
1441C22×C4—431no—
1442C22×C4—431no—
1443C22×C4—431no—
1444C22×C4—431no—
1445C22×C4—431no—
1446C22×C4—431no—
1447C22×C4—862no—
1448C22×C4—862no—
1449C22×C4—862no—
1450C22×C4—862no—
1451C22×C4—862no—
1452C22×C4—862no—
1453C22×C4—862no—
1454C22×C4—862no—
1455C22×C4—862no—
1456C22×C4—862no—
1457C22×C4—862no—
1458C22×C4—862no—
1459C22×C4—862no—
1460C22×C4—862no—
1461C22×C4—862no—
1462C22×C4—862no—
1463C22×C4—862no—
1464C22×C4—862no—
1465C22×C4—862no—
1466C22×C4—862no—
1467C22×C4—862no—
1468C22×C4—862no—
1469C22×C4—862no—
1470C22×C4—862no—
1471C22×C4—1721no—
1472C22×C4—1721no—
1473C22×C4—1721no—
1474C22×C4—1721no—
1475C22×C4—1721no—
1476C22×C4—1721no—
1477C22×C4—1721no—
1478C22×C4—1721no—
1479C22×C4—1721no—
1480C22×C4—17216no—
1481C22×C4—17216no—
1482C22×C4—1721no—
1483C22×C4—1721no—
1484C22×C4—1721no—
1485C22×C4—1721no—
1486C22×C4—1721no—
1487C22×C4—1721no—
1488C22×C4C2×C22⋊D4314yes—
1489C22×C4C2×C22⋊D4314yescomplemented
1490C22×C4C23×D4311yescharacteristic
1491C22×C4C23×D4311yescharacteristic
1492C22×C4C23×D4311yescharacteristic
1493C22×C4C23×D4311yescharacteristic
1494C22×C4C23×D4311yescharacteristic
1495C22×C4C23×D4311yescharacteristic
1496C22×C4C23×D4311yescharacteristic
1497C22×C4C23×D4311yescharacteristic
1498C22×C4C23×D4311yescharacteristic
1499C22×C4C23×D4311yescharacteristic
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—862no—
1506C4⋊C4—862no—
1507C4⋊C4—862no—
1508C4⋊C4—862no—
1509C4⋊C4—862no—
1510C4⋊C4—1721no—
1511C4⋊C4—1721no—
1512C4⋊C4—1721no—
1513C4⋊C4—1721no—
1514C4⋊C4—1721no—
1515C4⋊C4—1721no—
1516C4⋊C4—1721no—
1517C4⋊C4—1721no—
1518C4⋊C4—1721no—
1519C4⋊C4C2×C22⋊D4314yescomplemented
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—22no—
1530C22⋊C4—22no—
1531C22⋊C4—22no—
1532C22⋊C4—862no—
1533C22⋊C4—862no—
1534C22⋊C4—862no—
1535C22⋊C4—862no—
1536C22⋊C4—862no—
1537C22⋊C4—862no—
1538C22⋊C4—862no—
1539C22⋊C4—862no—
1540C22⋊C4—862no—
1541C22⋊C4—862no—
1542C22⋊C4—862no—
1543C22⋊C4—862no—
1544C22⋊C4—862no—
1545C22⋊C4—862no—
1546C22⋊C4—862no—
1547C22⋊C4—862no—
1548C22⋊C4—862no—
1549C22⋊C4—862no—
1550C22⋊C4—862no—
1551C22⋊C4—862no—
1552C22⋊C4—862no—
1553C22⋊C4—1721no—
1554C22⋊C4—1721no—
1555C22⋊C4—1721no—
1556C22⋊C4—1721no—
1557C22⋊C4—1721no—
1558C22⋊C4—1721no—
1559C22⋊C4—1721no—
1560C22⋊C4—1721no—
1561C22⋊C4—1721no—
1562C22⋊C4—1721no—
1563C22⋊C4—1721no—
1564C22⋊C4—1721no—
1565C22⋊C4—1721no—
1566C22⋊C4—1721no—
1567C22⋊C4—1721no—
1568C22⋊C4—1721no—
1569C22⋊C4—1721no—
1570C22⋊C4—1721no—
1571C22⋊C4—1721no—
1572C22⋊C4—1721no—
1573C22⋊C4—1721no—
1574C22⋊C4C2×C22⋊D4314yes—
1575C22⋊C4C2×C22⋊D4314yescomplemented
1576C42—22no—
1577C42—862no—
1578C42—862no—
1579C42—862no—
1580C42—1721no—
1581C42—1721no—
1582C42C2×C22⋊D4314yescomplemented
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—82no—
1618C23—82no—
1619C23—82no—
1620C23—82no—
1621C23—432no—
1622C23—432no—
1623C23—432no—
1624C23—432no—
1625C23—432no—
1626C23—868no—
1627C23—868no—
1628C23—861no—
1629C23—861no—
1630C23—861no—
1631C23—861no—
1632C23—868no—
1633C23—861no—
1634C23—861no—
1635C23—861no—
1636C23—861no—
1637C23—861no—
1638C23—861no—
1639C23—861no—
1640C23—861no—
1641C23—861no—
1642C23—861no—
1643C23—861no—
1644C23—861no—
1645C23—1724no—
1646C23—1724no—
1647C23—1724no—
1648C23—1724no—
1649C23—1724no—
1650C23—1724no—
1651C23—1724no—
1652C23—1724no—
1653C23—1724no—
1654C23—1724no—
1655C23—1724no—
1656C23C22×C22⋊D4312yes—
1657C23C22×C22⋊D4312yes—
1658C23#41×D4312yes—
1659C23#41×D4312yes—
1660C23C24×D4311yescharacteristic
1661Q8—82no—
1662D4—28no—
1663D4—44no—
1664D4—82no—
1665D4—82no—
1666D4—82no—
1667D4—82no—
1668D4—82no—
1669D4—868no—
1670D4—868no—
1671D4—868no—
1672D4—3442no—
1673D4—3442no—
1674D4—3442no—
1675D4—1724no—
1676D4—1724no—
1677D4—1724no—
1678D4—1724no—
1679D4—1724no—
1680D4—1724no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—82no—
1709C2×C4—82no—
1710C2×C4—432no—
1711C2×C4—432no—
1712C2×C4—868no—
1713C2×C4—868no—
1714C2×C4—861no—
1715C2×C4—861no—
1716C2×C4—861no—
1717C2×C4—861no—
1718C2×C4—861no—
1719C2×C4—861no—
1720C2×C4—861no—
1721C2×C4—861no—
1722C2×C4—861no—
1723C2×C4—861no—
1724C2×C4—861no—
1725C2×C4—861no—
1726C2×C4—861no—
1727C2×C4—861no—
1728C2×C4—861no—
1729C2×C4—861no—
1730C2×C4—861no—
1731C2×C4—861no—
1732C2×C4—861no—
1733C2×C4—861no—
1734C2×C4—861no—
1735C2×C4—861no—
1736C2×C4—861no—
1737C2×C4—861no—
1738C2×C4—861no—
1739C2×C4—861no—
1740C2×C4—861no—
1741C2×C4—861no—
1742C2×C4—861no—
1743C2×C4—861no—
1744C2×C4—861no—
1745C2×C4—861no—
1746C2×C4—861no—
1747C2×C4—861no—
1748C2×C4—861no—
1749C2×C4—861no—
1750C2×C4—861no—
1751C2×C4—3442no—
1752C2×C4—1724no—
1753C2×C4—1724no—
1754C2×C4—1724no—
1755C2×C4—1724no—
1756C2×C4—1724no—
1757C2×C4—1724no—
1758C2×C4—1724no—
1759C2×C4—1724no—
1760C2×C4—1724no—
1761C2×C4—1724no—
1762C2×C4C22×C22⋊D4312yes—
1763C2×C4C22×C22⋊D4312yes—
1764C2×C4C22×C22⋊D4312yes—
1765C2×C4C22×C22⋊D4312yes—
1766C2×C4C22×C22⋊D4312yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—88no—
1802C22—434no—
1803C22—862no—
1804C22—862no—
1805C22—862no—
1806C22—862no—
1807C22—862no—
1808C22—862no—
1809C22—862no—
1810C22—862no—
1811C22—862no—
1812C22—862no—
1813C22—862no—
1814C22—862no—
1815C22—17216no—
1816C22—17216no—
1817C22—1721no—
1818C22—1721no—
1819C22—1721no—
1820C22—1721no—
1821C22—1721no—
1822C22—1721no—
1823C22—1721no—
1824C22—1721no—
1825C22#1458340614yes—
1826C22C23×C22⋊D4311yescharacteristic
1827C22C2×#41×D4311yescharacteristic
1828C22C2×#41×D4311yescharacteristic
1829C22H(5,𝔽2)×D4311yescharacteristic
1830C22H(5,𝔽2)×D4311yescharacteristic
1831C22H(5,𝔽2)×D4311yescharacteristic
1832C22#1458373411yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—862no—
1844C4—862no—
1845C4—1721no—
1846C4—1721no—
1847C4—1721no—
1848C4—1721no—
1849C4—1721no—
1850C4—1721no—
1851C4—1721no—
1852C4—1721no—
1853C4—1721no—
1854C4—1721no—
1855C4—1721no—
1856C2—24no—
1857C2—42no—
1858C2—81no—
1859C2—81no—
1860C2—81no—
1861C2—864no—
1862C2—1722no—
1863C2—1722no—
1864C2C2×#1458340611yescharacteristic
1865C2#538×D4311yescharacteristic
1866C2#1914800611yescharacteristic
1867C2#1914822611yescharacteristic
1868C2#1914825711yescharacteristic
1869C2#1914853111yescharacteristic
1870C2#1914861911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC2×C43×#538C2
hypercenterC2×#538D43
hypocenterC43#34990
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×C4×D4×D43C2semidirect
2. #19142907C2semidirect
3. #19142891C2semidirect
4. #19142884C2semidirect
5. #19142874C2semidirect
6. #19140492C2semidirect
7. #19140480C2semidirect
8. #19140448C2semidirect
9. #19140434C2semidirect
10. #19138852C2semidirect
11. #19138717C2semidirect
12. #19138642C2semidirect
13. #19138528C2semidirect
14. #19138492C2semidirect
15. #19138483C2semidirect
16. #19138415C2semidirect
17. #19138341C2semidirect
18. #19138327C2semidirect
19. #19138258C2semidirect
20. #19138128C2semidirect
21. #19138127C2semidirect
22. #19138053C2semidirect
23. #19137966C2semidirect
24. #19137965C2semidirect
25. #19137906C2semidirect
26. #19137293C2semidirect
27. #19137253C2semidirect
28. #19137228C2semidirect
29. C4×#13063293C2semidirect
30. C2×#14582775C2semidirect
31. C2×C43×#538C2semidirect
35. C23×C4×D43C22semidirect
36. C2×#13063306C22semidirect
37. C2×#13063301C22semidirect
41. C2×#13063296C22semidirect
46. C2×#13063293C22semidirect
47. C2×C4×D172C22semidirect
49. C2×#13063287C22semidirect
51. C2×C4×C22⋊D43C22semidirect
52. C2×C4×C22⋊D43C22semidirect
53. C2×C4×C22⋊D43C22semidirect
55. C2×(C22⋊D43)⋊C4C22semidirect
57. C2×C4⋊C4×D43C22semidirect
58. C22×C22⋊Dic43C22semidirect
61. C2×C22⋊C4×D43C22semidirect
62. C2×C42×D43C22semidirect
63. #14582838C22semidirect
64. #14582837C22semidirect
65. #14582835C22semidirect
66. #14582834C22semidirect
67. #14582832C22semidirect
68. #14582827C22semidirect
69. #14582824C22semidirect
70. #14582824C22semidirect
71. #14582822C22semidirect
72. #14582821C22semidirect
73. #14582821C22semidirect
74. #14582821C22semidirect
75. #14582816C22semidirect
76. #14582815C22semidirect
77. #14582815C22semidirect
78. #14582815C22semidirect
79. #14582814C22semidirect
80. #14582813C22semidirect
81. #14582813C22semidirect
82. #14582813C22semidirect
83. #14582813C22semidirect
84. #14582810C22semidirect
85. #14582810C22semidirect
88. #14582808C22semidirect
91. #14582807C22semidirect
92. #14582807C22semidirect
93. #14582807C22semidirect
94. #14582807C22semidirect
95. #14582806C22semidirect
96. #14582802C22semidirect
97. #14582799C22semidirect
98. #14582799C22semidirect
99. #14582793C22semidirect
100. #14582793C22semidirect
101. #14582792C22semidirect
102. #14582792C22semidirect
103. #14582790C22semidirect
104. #14582787C22semidirect
105. #14582787C22semidirect
106. #14582787C22semidirect
107. #14582787C22semidirect
108. #14582787C22semidirect
109. #14582787C22semidirect
110. #14582787C22semidirect
111. #14582785C22semidirect
112. #14582785C22semidirect
113. #14582783C22semidirect
114. #14582780C22semidirect
115. #14582780C22semidirect
116. #14582780C22semidirect
119. #14582779C22semidirect
120. #14582779C22semidirect
121. #14582779C22semidirect
122. #14582779C22semidirect
124. #14582778C22semidirect
134. #14582775C22semidirect
135. #14582775C22semidirect
136. #14582775C22semidirect
137. #14582775C22semidirect
138. #14582775C22semidirect
139. #14582775C22semidirect
140. #14582775C22semidirect
141. #14582775C22semidirect
142. #14582775C22semidirect
143. #14582775C22semidirect
144. #14582775C22semidirect
145. #14582774C22semidirect
146. #14582774C22semidirect
147. #14582772C22semidirect
148. #14582772C22semidirect
149. #14582771C22semidirect
150. #14582770C22semidirect
151. #14582770C22semidirect
152. #14582770C22semidirect
153. #14582770C22semidirect
154. #14582770C22semidirect
155. #14582770C22semidirect
156. #14582770C22semidirect
157. #14582767C22semidirect
158. #14582765C22semidirect
159. #14582762C22semidirect
160. #14582760C22semidirect
161. #14582759C22semidirect
162. #14582757C22semidirect
163. #14582756C22semidirect
164. #14582756C22semidirect
165. #14582755C22semidirect
167. #14582754C22semidirect
168. C4×(C2×D43)⋊C4C22semidirect
169. C4×(C2×D43)⋊C4C22semidirect
170. C4×C22⋊Dic43C22semidirect
171. C2×C43⋊#95C22semidirect
172. C2×C43⋊#95C22semidirect
174. C2×#126×C43C22semidirect
175. C2×#126×C43C22semidirect
176. C2×#124×C43C22semidirect
177. C2×#124×C43C22semidirect
178. C2×#123×C43C22semidirect
179. C2×#123×C43C22semidirect
180. C2×C22⋊Q8×C43C22semidirect
182. C2×#121×C43C22semidirect
183. C2×#121×C43C22semidirect
185. C2×#120×C43C22semidirect
187. C2×C4×D4×C43C22semidirect
188. C22×C22⋊C4×C43C22semidirect
373. C4×D4×C43D4semidirect
461. C22×C4×C43C2×D4semidirect
569. C4⋊C4×C43C2×D4semidirect
583. C22⋊C4×C43C2×D4semidirect
585. C42×C43C2×D4semidirect
897. C2×D43#538semidirect
921. C2×#538D43semidirect
972. C2×#126C2×D43semidirect
973. C2×#126C2×D43semidirect
974. C2×#124C2×D43semidirect
975. C2×#124C2×D43semidirect
977. C2×#123C2×D43semidirect
978. C2×#123C2×D43semidirect
980. C2×C22⋊Q8C2×D43semidirect
986. C2×#121C2×D43semidirect
987. C2×#121C2×D43semidirect
994. C2×#120C2×D43semidirect
1006. C2×C4×D4C2×D43semidirect
1012. C22×C22⋊C4C2×D43semidirect
1124. C43#34990semidirect
1210. C4×D4C22⋊D43semidirect
1489. C22×C4C2×C22⋊D43semidirect
1519. C4⋊C4C2×C22⋊D43semidirect
1575. C22⋊C4C2×C22⋊D43semidirect
1582. C42C2×C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D4×D432
#191429072
#191428912
#191428842
#191428742
#191404922
#191404802
#191404482
#191404342
#191388522
#191387172
#191386422
#191385282
#191384922
#191384832
#191384152
#191383412
#191383272
#191382582
#191381282
#191381272
#191380532
#191379662
#191379652
#191379062
#191372932
#191372532
#191372282
C4×#130632932
C2×#145827752
C2×C43×#5382
#3499043