Finite Group Databasebeta

← #25269272

Subgroups — #25269272

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×#14583481C211yesmaximal, characteristic, complemented
2C22×C4×C22⋊D43C211yesmaximal, characteristic, complemented
3#19142908C211yesmaximal, characteristic, complemented
4#19142892C211yesmaximal, characteristic, complemented
5#19142887C211yesmaximal, characteristic, complemented
6#19140496C211yesmaximal, characteristic, complemented
7#19140480C211yesmaximal, characteristic, complemented
8#19140451C211yesmaximal, characteristic, complemented
9#19140436C211yesmaximal, characteristic, complemented
10#19138863C211yesmaximal, characteristic, complemented
11#19138720C211yesmaximal, characteristic, complemented
12#19138653C211yesmaximal, characteristic, complemented
13#19138531C211yesmaximal, characteristic, complemented
14#19138492C211yesmaximal, characteristic, complemented
15#19138491C211yesmaximal, characteristic, complemented
16#19138426C211yesmaximal, characteristic, complemented
17#19138342C211yesmaximal, characteristic, complemented
18#19138326C211yesmaximal, characteristic, complemented
19#19138263C211yesmaximal, characteristic, complemented
20#19138135C211yesmaximal, characteristic, complemented
21#19138128C211yesmaximal, characteristic, complemented
22#19138056C211yesmaximal, characteristic, complemented
23#19137966C211yesmaximal, characteristic, complemented
24#19137965C211yesmaximal, characteristic, complemented
25#19137906C211yesmaximal, characteristic, complemented
26#19137297C211yesmaximal, characteristic, complemented
27#19137251C211yesmaximal, characteristic, complemented
28#19137230C211yesmaximal, characteristic, complemented
29#19137100C211yesmaximal, characteristic, complemented
30#386×D43C211yesmaximal, characteristic, complemented
31C43×#2847C211yesmaximal, characteristic, complemented
32C23×C22⋊D43C2211yescharacteristic
33C22×D4×D43C2211yescharacteristic
34C23×C4×D43C2211yescharacteristic
35#14583481—28no—
36C2×#13063320C2211yescharacteristic, complemented
37C2×#13063318C2211yescharacteristic, complemented
38C2×#13063312C2211yescharacteristic, complemented
39C2×#13063311C2211yescharacteristic, complemented
40C2×#13063308C2211yescharacteristic, complemented
41C2×#13063308C2211yescharacteristic, complemented
42C2×#13063306C2211yescharacteristic, complemented
43C2×#13063303C2211yescharacteristic, complemented
44C2×#13063302C2211yescharacteristic, complemented
45C2×#13063297C2211yescharacteristic
46C2×#13063297C2211yescharacteristic, complemented
47C2×#13063296C2211yescharacteristic
48C2×#13063296C2211yescharacteristic
49C2×#13063294C2211yescharacteristic
50C2×#13063293C2211yescharacteristic
51C2×#13063293C2211yescharacteristic
52C2×#13063293C2211yescharacteristic
53C2×#13063293C2211yescharacteristic, complemented
54C2×D4×Dic43C2211yescharacteristic, complemented
55C2×C4×C22⋊D43—28no—
56C2×C4×C22⋊D43C2211yescharacteristic
57C2×C4×C22⋊D43C2211yescharacteristic
58C2×C4×C22⋊D43C2211yescharacteristic
59C2×C4×C22⋊D43C2211yescharacteristic
60C2×C4×C22⋊D43C2211yescharacteristic, complemented
61C2×C4×C22⋊D43C2211yescharacteristic, complemented
62C2×C4×C22⋊D43C2211yescharacteristic, complemented
63C2×C4×C22⋊D43C2211yescharacteristic, complemented
64C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
65C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
66C22×Dic43⋊C4C2211yescharacteristic, complemented
67C22×C22⋊Dic43C2211yescharacteristic, complemented
68C22×(C2×D43)⋊C4C2211yescharacteristic
69C2×C22⋊C4×D43C2211yescharacteristic
70C2×C22⋊C4×D43C2211yescharacteristic, complemented
71C2×C22⋊C4×D43C2211yescharacteristic, complemented
72C22×C4×Dic43C2211yescharacteristic, complemented
73#14582841C2211yescharacteristic, complemented
74#14582837C2211yescharacteristic, complemented
75#14582835C2211yescharacteristic, complemented
76#14582834C2211yescharacteristic, complemented
77#14582829C2211yescharacteristic, complemented
78#14582828C2211yescharacteristic, complemented
79#14582827C2211yescharacteristic, complemented
80#14582824C2211yescharacteristic, complemented
81#14582823C2211yescharacteristic, complemented
82#14582822C2211yescharacteristic, complemented
83#14582821C2211yescharacteristic, complemented
84#14582821C2211yescharacteristic, complemented
85#14582816C2211yescharacteristic, complemented
86#14582815C2211yescharacteristic, complemented
87#14582815C2211yescharacteristic, complemented
88#14582815C2211yescharacteristic, complemented
89#14582814C2211yescharacteristic, complemented
90#14582813C2211yescharacteristic, complemented
91#14582813C2211yescharacteristic, complemented
92#14582813C2211yescharacteristic, complemented
93#14582813C2211yescharacteristic, complemented
94#14582812C2211yescharacteristic, complemented
95#14582811C2211yescharacteristic, complemented
96#14582808C2211yescharacteristic
97#14582808C2211yescharacteristic
98#14582808C2211yescharacteristic, complemented
99#14582807C2211yescharacteristic
100#14582807C2211yescharacteristic
101#14582807C2211yescharacteristic, complemented
102#14582807C2211yescharacteristic, complemented
103#14582807C2211yescharacteristic, complemented
104#14582807C2211yescharacteristic, complemented
105#14582803C2211yescharacteristic, complemented
106#14582802C2211yescharacteristic, complemented
107#14582799C2211yescharacteristic, complemented
108#14582799C2211yescharacteristic, complemented
109#14582793C2211yescharacteristic, complemented
110#14582793C2211yescharacteristic, complemented
111#14582793C2211yescharacteristic, complemented
112#14582793C2211yescharacteristic, complemented
113#14582792C2211yescharacteristic, complemented
114#14582792C2211yescharacteristic, complemented
115#14582791C2211yescharacteristic, complemented
116#14582788C2211yescharacteristic, complemented
117#14582788C2211yescharacteristic, complemented
118#14582787C2211yescharacteristic, complemented
119#14582787C2211yescharacteristic, complemented
120#14582787C2211yescharacteristic, complemented
121#14582786C2211yescharacteristic, complemented
122#14582784C2211yescharacteristic, complemented
123#14582782C2211yescharacteristic, complemented
124#14582781C2211yescharacteristic, complemented
125#14582780C2211yescharacteristic, complemented
126#14582780C2211yescharacteristic, complemented
127#14582779C2211yescharacteristic
128#14582779C2211yescharacteristic
129#14582779C2211yescharacteristic
130#14582779C2211yescharacteristic, complemented
131#14582779C2211yescharacteristic, complemented
132#14582778C2211yescharacteristic
133#14582778C2211yescharacteristic
134#14582778C2211yescharacteristic, complemented
135#14582778C2211yescharacteristic, complemented
136#14582777C2211yescharacteristic, complemented
137#14582777C2211yescharacteristic, complemented
138#14582776C2211yescharacteristic
139#14582776C2211yescharacteristic
140#14582775C2211yescharacteristic
141#14582775C2211yescharacteristic
142#14582775C2211yescharacteristic
143#14582775C2211yescharacteristic
144#14582775C2211yescharacteristic, complemented
145#14582775C2211yescharacteristic, complemented
146#14582775C2211yescharacteristic, complemented
147#14582775C2211yescharacteristic, complemented
148#14582775C2211yescharacteristic, complemented
149#14582774C2211yescharacteristic, complemented
150#14582773C2211yescharacteristic, complemented
151#14582773C2211yescharacteristic, complemented
152#14582773C2211yescharacteristic, complemented
153#14582772C2211yescharacteristic, complemented
154#14582772C2211yescharacteristic, complemented
155#14582772C2211yescharacteristic, complemented
156#14582772C2211yescharacteristic, complemented
157#14582771C2211yescharacteristic, complemented
158#14582771C2211yescharacteristic, complemented
159#14582770C2211yescharacteristic, complemented
160#14582770C2211yescharacteristic, complemented
161#14582766C2211yescharacteristic, complemented
162#14582763C2211yescharacteristic, complemented
163#14582762C2211yescharacteristic, complemented
164#14582762C2211yescharacteristic, complemented
165#14582758C2211yescharacteristic, complemented
166#14582755C2211yescharacteristic, complemented
167#14582754C2211yescharacteristic
168#14582754C2211yescharacteristic, complemented
169C22⋊C4×Dic43C2211yescharacteristic, complemented
170#14582746C2211yescharacteristic, complemented
171#14582746C2211yescharacteristic, complemented
172#95×D43C2211yescharacteristic, complemented
173#95×D43C2211yescharacteristic, complemented
174C24×C4×C43C2211yescharacteristic, complemented
175C2×#121×C43C2211yescharacteristic
176C2×#121×C43C2211yescharacteristic, complemented
177C2×#121×C43C2211yescharacteristic, complemented
178C2×#120×C43C2211yescharacteristic
179C2×#120×C43C2211yescharacteristic, complemented
180C43×#386C2211yescharacteristic
181C43×#386C2211yescharacteristic, complemented
182C43×#386C2211yescharacteristic, complemented
183C43×#386C2211yescharacteristic, complemented
184C43×#386C2211yescharacteristic, complemented
185C43×#386C2211yescharacteristic, complemented
186C43×#380C2211yescharacteristic, complemented
187C43×#380C2211yescharacteristic, complemented
188C43×#380C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C22×Dic86C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×C22⋊D43—24no—
194C22×C22⋊D43—24no—
195C22×C22⋊D43—24no—
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
206C22×C22⋊D43C2311yescharacteristic
207C2×D4×D43—24no—
208C2×D4×D43—42no—
209C2×D4×D43—42no—
210C23×Dic43C2311yescharacteristic
211C23×Dic43C2311yescharacteristic
212C23×Dic43C2311yescharacteristic
213C23×Dic43C2311yescharacteristic
214C22×C4×D43—24no—
215C22×C4×D43—42no—
216C22×C4×D43—42no—
217C22×C4×D43C2311yescharacteristic
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224#13063320—24no—
225#13063318—24no—
226#13063312—24no—
227#13063311—24no—
228#13063308—24no—
229#13063308—42no—
230#13063306—24no—
231#13063303—24no—
232#13063302—42no—
233#13063297—24no—
234#13063297—42no—
235#13063296—24no—
236#13063296—24no—
237#13063294—42no—
238#13063293—24no—
239#13063293—24no—
240#13063293—24no—
241#13063293—24no—
242D4×Dic43—42no—
243C4×C22⋊D43—24no—
244C4×C22⋊D43—24no—
245C4×C22⋊D43—24no—
246C4×C22⋊D43—24no—
247C4×C22⋊D43—24no—
248C4×C22⋊D43—24no—
249C4×C22⋊D43—24no—
250C4×C22⋊D43D418yescomplemented
251(C22⋊D43)⋊C4—24no—
252(C22⋊D43)⋊C4—42no—
253C2×C4⋊Dic43C2311yescharacteristic
254C2×C4⋊Dic43C2311yescharacteristic
255C2×C4⋊Dic43C2311yescharacteristic
256C2×C4⋊Dic43C2311yescharacteristic
257C2×Dic43⋊C4—24no—
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C2×Dic43⋊C4C2311yescharacteristic
263C2×Dic43⋊C4C2311yescharacteristic
264C2×Dic43⋊C4C2311yescharacteristic
265C2×Dic43⋊C4C2311yescharacteristic
266C2×Dic43⋊C4C2311yescharacteristic
267C2×Dic43⋊C4C2311yescharacteristic
268C2×Dic43⋊C4C2311yescharacteristic
269C2×Dic43⋊C4C2311yescharacteristic
270C2×Dic43⋊C4C2311yescharacteristic
271C2×C22⋊Dic43—24no—
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×C22⋊Dic43C2311yescharacteristic
288C2×C22⋊Dic43C2311yescharacteristic
289C2×C22⋊Dic43C2311yescharacteristic
290C2×C22⋊Dic43C2311yescharacteristic
291C2×C22⋊Dic43C2311yescharacteristic
292C2×C22⋊Dic43C2311yescharacteristic
293C2×C22⋊Dic43C2311yescharacteristic
294C2×C22⋊Dic43C2311yescharacteristic
295C2×(C2×D43)⋊C4—24no—
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
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C2×(C2×D43)⋊C4C2311yescharacteristic
311C2×(C2×D43)⋊C4C2311yescharacteristic
312C2×(C2×D43)⋊C4C2311yescharacteristic
313C2×(C2×D43)⋊C4C2311yescharacteristic
314C2×(C2×D43)⋊C4C2311yescharacteristic
315C2×(C2×D43)⋊C4C2311yescharacteristic
316C2×(C2×D43)⋊C4C2311yescharacteristic
317C22⋊C4×D43—24no—
318C22⋊C4×D43—42no—
319C22⋊C4×D43—42no—
320C2×C4×Dic43—24no—
321C2×C4×Dic43C2311yescharacteristic
322C2×C4×Dic43C2311yescharacteristic
323C2×C4×Dic43C2311yescharacteristic
324C2×C4×Dic43C2311yescharacteristic
325C2×C4×Dic43C2311yescharacteristic
326C2×C4×Dic43C2311yescharacteristic
327C2×C4×Dic43C2311yescharacteristic
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
347C43⋊#95C2311yescharacteristic
348C43⋊#95C2311yescharacteristic
349C43⋊#95C2311yescharacteristic
350C43⋊#95C2311yescharacteristic
351C43⋊#95C2311yescharacteristic
352C43⋊#95C2311yescharacteristic
353C43⋊#95C2311yescharacteristic
354C25×C43C2311yescharacteristic
355C22×D4×C43C2311yescharacteristic
356C22×D4×C43C2311yescharacteristic
357C22×D4×C43C2311yescharacteristic
358C22×D4×C43C2311yescharacteristic
359C22×D4×C43C2311yescharacteristic
360C22×D4×C43C2311yescharacteristic
361C22×D4×C43C2311yescharacteristic
362C23×C4×C43—24no—
363C23×C4×C43—42no—
364C23×C4×C43—42no—
365C23×C4×C43C2311yescharacteristic
366C23×C4×C43C2311yescharacteristic
367C23×C4×C43C2311yescharacteristic
368C23×C4×C43C2311yescharacteristic
369C23×C4×C43C2311yescharacteristic
370C23×C4×C43C2311yescharacteristic
371#121×C43—24no—
372#121×C43—42no—
373#121×C43—42no—
374#120×C43—42no—
375#120×C43—42no—
376C2×C4⋊C4×C43C2311yescharacteristic
377C2×C4⋊C4×C43C2311yescharacteristic
378C2×C4⋊C4×C43C2311yescharacteristic
379C2×C22⋊C4×C43C2311yescharacteristic
380C2×C22⋊C4×C43C2311yescharacteristic
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
391#95×C43C2311yescharacteristic
392#95×C43C2311yescharacteristic
393#95×C43C2311yescharacteristic
394#95×C43C2311yescharacteristic
395#95×C43C2311yescharacteristic
396#95×C43C2311yescharacteristic
397C24×C43—22no—
398C24×C43—22no—
399C24×C43—22no—
400C24×C43—22no—
401C24×C43—22no—
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—41no—
417C23×D43—41no—
418C23×D43—41no—
419C23×D43—41no—
420C23×D43—41no—
421C23×D43—41no—
422C23×D43#4114yes—
423C23×D43C2411yescharacteristic
424C23×D43C2411yescharacteristic
425C23×D43C2411yescharacteristic
426C2×D4×C43—22no—
427C2×D4×C43—22no—
428C2×D4×C43—22no—
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—41no—
438C2×D4×C43—41no—
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—
447C22×C4×C43—22no—
448C22×C4×C43—22no—
449C22×C4×C43—22no—
450C22×C4×C43—22no—
451C22×C4×C43—22no—
452C22×C4×C43—22no—
453C22×C4×C43—22no—
454C22×C4×C43—22no—
455C22×C4×C43—22no—
456C22×C4×C43—22no—
457C22×C4×C43—41no—
458C22×C4×C43—41no—
459C22×C4×C43—41no—
460C22×C4×C43—41no—
461C22×C4×C43—41no—
462C22×C4×C43—41no—
463C22×C4×C43—41no—
464C22×C4×C43—416no—
465C22×C4×C43C2×D414yescomplemented
466C22×C4×C43C2411yescharacteristic
467C22×C4×C43C2411yescharacteristic
468C22×C4×C43C2411yescharacteristic
469C22×C4×C43C2411yescharacteristic
470C22×C4×C43C2411yescharacteristic
471C22×C4×C43C2411yescharacteristic
472C22×C4×C43C2411yescharacteristic
473C22×C4×C43C2411yescharacteristic
474C22×C4×C43C2411yescharacteristic
475C22×C4×C43C2411yescharacteristic
476C2×C22⋊D43—232no—
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—22no—
493C2×C22⋊D43—22no—
494C2×C22⋊D43—22no—
495C2×C22⋊D43—22no—
496C2×C22⋊D43—22no—
497C2×C22⋊D43—22no—
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—41no—
505C2×C22⋊D43—41no—
506C2×C22⋊D43—41no—
507C2×C22⋊D43—41no—
508C2×C22⋊D43C2×D414yes—
509C2×C22⋊D43#4114yes—
510C22×Dic43—22no—
511C22×Dic43—22no—
512C22×Dic43—22no—
513C22×Dic43—22no—
514C22×Dic43—22no—
515C22×Dic43—22no—
516C22×Dic43—22no—
517C22×Dic43—22no—
518C22×Dic43—41no—
519C22×Dic43—41no—
520C22×Dic43—41no—
521C22×Dic43—41no—
522C22×Dic43C2411yescharacteristic
523C22×Dic43C2411yescharacteristic
524C22×Dic43C2411yescharacteristic
525C22×Dic43C2411yescharacteristic
526C22×Dic43C2411yescharacteristic
527C22×Dic43C2411yescharacteristic
528C22×Dic43C2411yescharacteristic
529C22×Dic43C2411yescharacteristic
530C22×Dic43C2411yescharacteristic
531C22×Dic43C2411yescharacteristic
532C22×Dic43C2411yescharacteristic
533C22×Dic43C2411yescharacteristic
534C22×Dic43C2411yescharacteristic
535D4×D43—416no—
536C2×D172—22no—
537C2×D172—41no—
538C2×D172—41no—
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—41no—
548C2×C4×D43—41no—
549C2×C4×D43—41no—
550C2×C4×D43—41no—
551C2×C4×D43—41no—
552C2×C4×D43—41no—
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—416no—
560C2×C4×D43C2×D414yes—
561C2×Dic86—22no—
562C2×Dic86—41no—
563C2×Dic86—41no—
564C4⋊C4×C43—22no—
565C4⋊C4×C43—41no—
566C4⋊C4×C43—41no—
567C22⋊C4×C43—22no—
568C22⋊C4×C43—22no—
569C22⋊C4×C43—22no—
570C22⋊C4×C43—22no—
571C22⋊C4×C43—22no—
572C22⋊C4×C43—22no—
573C22⋊C4×C43—41no—
574C22⋊C4×C43—41no—
575C22⋊C4×C43—41no—
576C22⋊C4×C43—41no—
577C22⋊C4×C43—41no—
578C22⋊C4×C43—41no—
579C22⋊Dic43—22no—
580C22⋊Dic43—22no—
581C22⋊Dic43—22no—
582C22⋊Dic43—22no—
583C22⋊Dic43—22no—
584C22⋊Dic43—22no—
585C22⋊Dic43—22no—
586C22⋊Dic43—22no—
587C22⋊Dic43—22no—
588C22⋊Dic43—22no—
589C22⋊Dic43—22no—
590C22⋊Dic43—22no—
591C22⋊Dic43—22no—
592C22⋊Dic43—22no—
593C22⋊Dic43—41no—
594C22⋊Dic43—41no—
595C22⋊Dic43—41no—
596C22⋊Dic43—41no—
597C22⋊Dic43—41no—
598C22⋊Dic43—41no—
599C22⋊Dic43—41no—
600C22⋊Dic43—41no—
601C22⋊Dic43C2×D414yescomplemented
602(C2×D43)⋊C4—22no—
603(C2×D43)⋊C4—22no—
604(C2×D43)⋊C4—22no—
605(C2×D43)⋊C4—22no—
606(C2×D43)⋊C4—22no—
607(C2×D43)⋊C4—22no—
608(C2×D43)⋊C4—22no—
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—41no—
616(C2×D43)⋊C4—41no—
617(C2×D43)⋊C4—41no—
618(C2×D43)⋊C4—41no—
619(C2×D43)⋊C4—41no—
620(C2×D43)⋊C4—41no—
621(C2×D43)⋊C4—41no—
622(C2×D43)⋊C4C2×D414yes—
623C4⋊Dic43—22no—
624C4⋊Dic43—22no—
625C4⋊Dic43—41no—
626C4⋊Dic43—41no—
627Dic43⋊C4—22no—
628Dic43⋊C4—22no—
629Dic43⋊C4—22no—
630Dic43⋊C4—22no—
631Dic43⋊C4—22no—
632Dic43⋊C4—22no—
633Dic43⋊C4—22no—
634Dic43⋊C4—41no—
635Dic43⋊C4—41no—
636Dic43⋊C4—41no—
637Dic43⋊C4—41no—
638Dic43⋊C4—41no—
639Dic43⋊C4C2×D414yescomplemented
640C4×Dic43—22no—
641C4×Dic43—22no—
642C4×Dic43—22no—
643C4×Dic43—22no—
644C4×Dic43—41no—
645C4×Dic43—41no—
646C4×Dic43C2×D414yescomplemented
647C23×C43—21no—
648C23×C43—21no—
649C23×C43—21no—
650C23×C43—21no—
651C23×C43—28no—
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—44no—
682C23×C43—44no—
683C23×C43—44no—
684C23×C43C22×D412yes—
685C23×C43C2×#4112yes—
686C23×C43C2×#4112yes—
687C23×C43H(5,𝔽2)12yes—
688C23×C43H(5,𝔽2)12yes—
689C23×C43C2511yescharacteristic
690C22×D43—21no—
691C22×D43—21no—
692C22×D43—21no—
693C22×D43—21no—
694C22×D43—28no—
695C22×D43—21no—
696C22×D43—21no—
697C22×D43—21no—
698C22×D43—21no—
699C22×D43—21no—
700C22×D43—21no—
701C22×D43—28no—
702C22×D43—21no—
703C22×D43—21no—
704C22×D43—21no—
705C22×D43—21no—
706C22×D43—21no—
707C22×D43—21no—
708C22×D43—21no—
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—82no—
718C22×D43—82no—
719C22×D43—82no—
720C22×D43—82no—
721C22×D43C22×D412yes—
722C22×D43C2×#4112yes—
723C22×D43C2×#4112yes—
724C22×D43C2×#4112yes—
725D4×C43—44no—
726D4×C43—44no—
727D4×C43—82no—
728D4×C43—82no—
729D4×C43—82no—
730D4×C43—82no—
731D4×C43—82no—
732C2×C4×C43—28no—
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—21no—
759C2×C4×C43—21no—
760C2×C4×C43—44no—
761C2×C4×C43—44no—
762C2×C4×C43—44no—
763C2×C4×C43—44no—
764C2×C4×C43—44no—
765C2×C4×C43C22×D412yes—
766C2×C4×C43C22×D412yes—
767C2×C4×C43H(5,𝔽2)12yes—
768C22⋊D43—28no—
769C22⋊D43—28no—
770C22⋊D43—28no—
771C22⋊D43—28no—
772C22⋊D43—44no—
773C22⋊D43—44no—
774C22⋊D43—44no—
775C22⋊D43—44no—
776C22⋊D43—82no—
777C22⋊D43—82no—
778C22⋊D43—82no—
779C2×Dic43—28no—
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—82no—
818C2×Dic43C22×D412yes—
819C2×Dic43C22×D412yes—
820C2×Dic43C22×D412yes—
821C2×Dic43C2×#4112yes—
822D172—44no—
823C4×D43—44no—
824C4×D43—44no—
825C4×D43—44no—
826C4×D43—44no—
827C4×D43—44no—
828C4×D43—82no—
829C4×D43—82no—
830Dic86—82no—
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—22no—
842C22×C43—22no—
843C22×C43—22no—
844C22×C43—416no—
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—41no—
867C22×C43#53814yescomplemented
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—416no—
885C2×D43—41no—
886C2×D43—41no—
887C2×D43—41no—
888C2×D43—41no—
889C2×D43—41no—
890C2×D43—41no—
891C2×D43—41no—
892C2×D43—41no—
893C2×D43—41no—
894C2×D43—41no—
895C2×D43—41no—
896C2×D43—88no—
897C2×D43#52514yes—
898C4×C43—22no—
899C4×C43—22no—
900C4×C43—22no—
901C4×C43—41no—
902C4×C43—41no—
903C4×C43—41no—
904C4×C43—41no—
905C4×C43—41no—
906C4×C43—41no—
907C4×C43—41no—
908Dic43—22no—
909Dic43—22no—
910Dic43—22no—
911Dic43—22no—
912Dic43—41no—
913Dic43—41no—
914Dic43—41no—
915Dic43—41no—
916Dic43—41no—
917Dic43—41no—
918Dic43—41no—
919Dic43—41no—
920Dic43—41no—
921C2×#538—431no—
922C22×C4×D4—431no—
923#2852—431no—
924#2850—431no—
925#2849—431no—
926#2847D4311yescharacteristic, complemented
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—42no—
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—81no—
967C23×D4—431no—
968C23×D4—431no—
969C24×C4—431no—
970C24×C4C2×D4311yescharacteristic, complemented
971#538—868no—
972C2×#126—431no—
973C2×#126—431no—
974C2×#124—431no—
975C2×#124—431no—
976C2×#123—431no—
977C2×#123—431no—
978C2×#123—431no—
979C2×C22⋊Q8—431no—
980C2×C22⋊Q8—431no—
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—431no—
1005C2×C4×D4—431no—
1006C2×C4×D4—868no—
1007C22×C4⋊C4—431no—
1008C22×C22⋊C4—431no—
1009C22×C22⋊C4—431no—
1010C22×C22⋊C4—431no—
1011C22×C22⋊C4—431no—
1012C22×C22⋊C4—431no—
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#386C2×D4311yescharacteristic
1091#386C2×D4311yescharacteristic, complemented
1092#386C2×D4311yescharacteristic, complemented
1093#386C2×D4311yescharacteristic, complemented
1094#386C2×D4311yescharacteristic, complemented
1095#386C2×D4311yescharacteristic, complemented
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#380C2×D4311yescharacteristic, complemented
1114#380C2×D4311yescharacteristic, complemented
1115#380C2×D4311yescharacteristic, complemented
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×Q8—431no—
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—24no—
1155C23×C4—42no—
1156C23×C4—42no—
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—431no—
1168C23×C4—864no—
1169C23×C4—1722no—
1170C23×C4—1722no—
1171C23×C4C22×D4311yescharacteristic
1172C23×C4C22×D4311yescharacteristic
1173C23×C4C22×D4311yescharacteristic
1174C23×C4C22×D4311yescharacteristic
1175C23×C4C22×D4311yescharacteristic
1176C23×C4C22×D4311yescharacteristic
1177#126—864no—
1178#126—864no—
1179#124—864no—
1180#124—864no—
1181#123—864no—
1182#123—864no—
1183#123—1722no—
1184C22⋊Q8—864no—
1185C22⋊Q8—1722no—
1186#121—24no—
1187#121—42no—
1188#121—42no—
1189#121—864no—
1190#121—864no—
1191#121—864no—
1192#121—1722no—
1193#120—42no—
1194#120—42no—
1195#120—864no—
1196#120—864no—
1197#120—864no—
1198#120—864no—
1199#120—1722no—
1200C4×D4—438no—
1201C4×D4—864no—
1202C4×D4—864no—
1203C4×D4—864no—
1204C4×D4—864no—
1205C4×D4—864no—
1206C4×D4—864no—
1207C4×D4—864no—
1208C4×D4—864no—
1209C4×D4—1722no—
1210C4×D4—1722no—
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—431no—
1226C2×C4⋊C4—431no—
1227C2×C4⋊C4—431no—
1228C2×C4⋊C4—864no—
1229C2×C4⋊C4C22×D4311yescharacteristic
1230C2×C4⋊C4C22×D4311yescharacteristic
1231C2×C4⋊C4C22×D4311yescharacteristic
1232C2×C22⋊C4—431no—
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—431no—
1276C2×C22⋊C4—864no—
1277C2×C22⋊C4—864no—
1278C2×C22⋊C4—864no—
1279C2×C22⋊C4—1722no—
1280C2×C22⋊C4—1722no—
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—431no—
1299C2×C42—431no—
1300C2×C42—864no—
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#95C22×D4311yescharacteristic
1328#95C22×D4311yescharacteristic
1329#95C22×D4311yescharacteristic
1330#95C22×D4311yescharacteristic
1331#95C22×D4311yescharacteristic
1332#95C22×D4311yescharacteristic
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—41no—
1339C24—41no—
1340C24—431no—
1341C24—431no—
1342C24—434no—
1343C24—431no—
1344C24—862no—
1345C24—862no—
1346C24—862no—
1347C24—862no—
1348C24—862no—
1349C24—862no—
1350C24—862no—
1351C24—1721no—
1352C24—1721no—
1353C24—1721no—
1354C24—1721no—
1355C24—1721no—
1356C24—1721no—
1357C24C23×D4311yescharacteristic
1358C24C23×D4311yescharacteristic
1359C24C23×D4311yescharacteristic
1360C24C23×D4311yescharacteristic
1361C24C23×D4311yescharacteristic
1362C2×Q8—862no—
1363C2×Q8—1721no—
1364C2×Q8—1721no—
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—22no—
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—41no—
1386C2×D4—434no—
1387C2×D4—434no—
1388C2×D4—862no—
1389C2×D4—862no—
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—8632no—
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—862no—
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—1721no—
1423C2×D4—17216no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—41no—
1435C22×C4—41no—
1436C22×C4—41no—
1437C22×C4—41no—
1438C22×C4—41no—
1439C22×C4—41no—
1440C22×C4—41no—
1441C22×C4—416no—
1442C22×C4—431no—
1443C22×C4—431no—
1444C22×C4—431no—
1445C22×C4—431no—
1446C22×C4—434no—
1447C22×C4—431no—
1448C22×C4—431no—
1449C22×C4—431no—
1450C22×C4—431no—
1451C22×C4—431no—
1452C22×C4—431no—
1453C22×C4—431no—
1454C22×C4—431no—
1455C22×C4—431no—
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—862no—
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—1721no—
1481C22×C4—1721no—
1482C22×C4—1721no—
1483C22×C4—1721no—
1484C22×C4—17216no—
1485C22×C4—1721no—
1486C22×C4—1721no—
1487C22×C4—1721no—
1488C22×C4—1721no—
1489C22×C4D4×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—41no—
1502C4⋊C4—41no—
1503C4⋊C4—434no—
1504C4⋊C4—862no—
1505C4⋊C4—862no—
1506C4⋊C4—862no—
1507C4⋊C4—862no—
1508C4⋊C4—862no—
1509C4⋊C4—862no—
1510C4⋊C4—862no—
1511C4⋊C4—862no—
1512C4⋊C4—862no—
1513C4⋊C4—1721no—
1514C4⋊C4—1721no—
1515C4⋊C4—1721no—
1516C4⋊C4—1721no—
1517C4⋊C4—1721no—
1518C4⋊C4—1721no—
1519C4⋊C4—1721no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—41no—
1527C22⋊C4—41no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—434no—
1533C22⋊C4—434no—
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—862no—
1554C22⋊C4—862no—
1555C22⋊C4—862no—
1556C22⋊C4—862no—
1557C22⋊C4—862no—
1558C22⋊C4—862no—
1559C22⋊C4—862no—
1560C22⋊C4—862no—
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⋊C4—1721no—
1575C22⋊C4—1721no—
1576C42—434no—
1577C42—862no—
1578C42—862no—
1579C42—862no—
1580C42—862no—
1581C42—1721no—
1582C42—1721no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—28no—
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—44no—
1618C23—44no—
1619C23—44no—
1620C23—432no—
1621C23—432no—
1622C23—432no—
1623C23—432no—
1624C23—868no—
1625C23—861no—
1626C23—861no—
1627C23—861no—
1628C23—861no—
1629C23—861no—
1630C23—861no—
1631C23—861no—
1632C23—861no—
1633C23—861no—
1634C23—861no—
1635C23—868no—
1636C23—861no—
1637C23—861no—
1638C23—861no—
1639C23—861no—
1640C23—861no—
1641C23—861no—
1642C23—861no—
1643C23—3442no—
1644C23—3442no—
1645C23—3442no—
1646C23—3442no—
1647C23—1724no—
1648C23—1724no—
1649C23—1724no—
1650C23—1724no—
1651C23—1724no—
1652C23—1724no—
1653C23—1724no—
1654C23—1724no—
1655C23C2×D4×D4312yes—
1656C23#41×D4312yes—
1657C23#41×D4312yes—
1658C23#1306337012yes—
1659C23#1306337012yes—
1660C23C24×D4311yescharacteristic
1661Q8—3442no—
1662D4—44no—
1663D4—44no—
1664D4—82no—
1665D4—82no—
1666D4—82no—
1667D4—82no—
1668D4—82no—
1669D4—868no—
1670D4—868no—
1671D4—868no—
1672D4—868no—
1673D4—3442no—
1674D4—3442no—
1675D4—3442no—
1676D4—1724no—
1677D4—1724no—
1678D4—1724no—
1679D4—1724no—
1680D4—1724no—
1681C2×C4—28no—
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—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—432no—
1715C2×C4—432no—
1716C2×C4—432no—
1717C2×C4—432no—
1718C2×C4—868no—
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—861no—
1752C2×C4—861no—
1753C2×C4—861no—
1754C2×C4—3442no—
1755C2×C4—3442no—
1756C2×C4—3442no—
1757C2×C4—1724no—
1758C2×C4—1724no—
1759C2×C4—1724no—
1760C2×C4—1724no—
1761C2×C4—1724no—
1762C2×C4—1724no—
1763C2×C4—1724no—
1764C2×C4C2×D4×D4312yes—
1765C2×C4C2×D4×D4312yes—
1766C2×C4#1306337012yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—416no—
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—41no—
1802C22—434no—
1803C22—862no—
1804C22—862no—
1805C22—862no—
1806C22—862no—
1807C22—862no—
1808C22—862no—
1809C22—862no—
1810C22—862no—
1811C22—862no—
1812C22—3448no—
1813C22—17216no—
1814C22—1721no—
1815C22—1721no—
1816C22—1721no—
1817C22—1721no—
1818C22—1721no—
1819C22—1721no—
1820C22—1721no—
1821C22—1721no—
1822C22—1721no—
1823C22—1721no—
1824C22—1721no—
1825C22#1458348114yescomplemented
1826C22C22×D4×D4311yescharacteristic
1827C22C2×#41×D4311yescharacteristic
1828C22C2×#41×D4311yescharacteristic
1829C22C2×#1306337011yescharacteristic
1830C22C2×#1306337011yescharacteristic
1831C22C2×#1306337011yescharacteristic
1832C22#1458373511yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—862no—
1844C4—862no—
1845C4—862no—
1846C4—862no—
1847C4—1721no—
1848C4—1721no—
1849C4—1721no—
1850C4—1721no—
1851C4—1721no—
1852C4—1721no—
1853C4—1721no—
1854C4—1721no—
1855C4—1721no—
1856C2—24no—
1857C2—42no—
1858C2—42no—
1859C2—81no—
1860C2—81no—
1861C2—864no—
1862C2—3441no—
1863C2—1722no—
1864C2#525×D4311yescharacteristic
1865C2C2×#1458348111yescharacteristic
1866C2#1914800211yescharacteristic
1867C2#1914822411yescharacteristic
1868C2#1914826011yescharacteristic
1869C2#1914852111yescharacteristic
1870C2#1914862111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2847C2
hypercenter#2847D43
hypocenterC43#34990
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. C2×#14583481C2semidirect
2. C22×C4×C22⋊D43C2semidirect
3. #19142908C2semidirect
4. #19142892C2semidirect
5. #19142887C2semidirect
6. #19140496C2semidirect
7. #19140480C2semidirect
8. #19140451C2semidirect
9. #19140436C2semidirect
10. #19138863C2semidirect
11. #19138720C2semidirect
12. #19138653C2semidirect
13. #19138531C2semidirect
14. #19138492C2semidirect
15. #19138491C2semidirect
16. #19138426C2semidirect
17. #19138342C2semidirect
18. #19138326C2semidirect
19. #19138263C2semidirect
20. #19138135C2semidirect
21. #19138128C2semidirect
22. #19138056C2semidirect
23. #19137966C2semidirect
24. #19137965C2semidirect
25. #19137906C2semidirect
26. #19137297C2semidirect
27. #19137251C2semidirect
28. #19137230C2semidirect
29. #19137100C2semidirect
30. #386×D43C2semidirect
31. C43×#2847C2semidirect
36. C2×#13063320C22semidirect
37. C2×#13063318C22semidirect
38. C2×#13063312C22semidirect
39. C2×#13063311C22semidirect
40. C2×#13063308C22semidirect
41. C2×#13063308C22semidirect
42. C2×#13063306C22semidirect
43. C2×#13063303C22semidirect
44. C2×#13063302C22semidirect
46. C2×#13063297C22semidirect
53. C2×#13063293C22semidirect
54. C2×D4×Dic43C22semidirect
60. C2×C4×C22⋊D43C22semidirect
61. C2×C4×C22⋊D43C22semidirect
62. C2×C4×C22⋊D43C22semidirect
63. C2×C4×C22⋊D43C22semidirect
64. C2×(C22⋊D43)⋊C4C22semidirect
65. C2×(C22⋊D43)⋊C4C22semidirect
66. C22×Dic43⋊C4C22semidirect
67. C22×C22⋊Dic43C22semidirect
70. C2×C22⋊C4×D43C22semidirect
71. C2×C22⋊C4×D43C22semidirect
72. C22×C4×Dic43C22semidirect
73. #14582841C22semidirect
74. #14582837C22semidirect
75. #14582835C22semidirect
76. #14582834C22semidirect
77. #14582829C22semidirect
78. #14582828C22semidirect
79. #14582827C22semidirect
80. #14582824C22semidirect
81. #14582823C22semidirect
82. #14582822C22semidirect
83. #14582821C22semidirect
84. #14582821C22semidirect
85. #14582816C22semidirect
86. #14582815C22semidirect
87. #14582815C22semidirect
88. #14582815C22semidirect
89. #14582814C22semidirect
90. #14582813C22semidirect
91. #14582813C22semidirect
92. #14582813C22semidirect
93. #14582813C22semidirect
94. #14582812C22semidirect
95. #14582811C22semidirect
98. #14582808C22semidirect
101. #14582807C22semidirect
102. #14582807C22semidirect
103. #14582807C22semidirect
104. #14582807C22semidirect
105. #14582803C22semidirect
106. #14582802C22semidirect
107. #14582799C22semidirect
108. #14582799C22semidirect
109. #14582793C22semidirect
110. #14582793C22semidirect
111. #14582793C22semidirect
112. #14582793C22semidirect
113. #14582792C22semidirect
114. #14582792C22semidirect
115. #14582791C22semidirect
116. #14582788C22semidirect
117. #14582788C22semidirect
118. #14582787C22semidirect
119. #14582787C22semidirect
120. #14582787C22semidirect
121. #14582786C22semidirect
122. #14582784C22semidirect
123. #14582782C22semidirect
124. #14582781C22semidirect
125. #14582780C22semidirect
126. #14582780C22semidirect
130. #14582779C22semidirect
131. #14582779C22semidirect
134. #14582778C22semidirect
135. #14582778C22semidirect
136. #14582777C22semidirect
137. #14582777C22semidirect
144. #14582775C22semidirect
145. #14582775C22semidirect
146. #14582775C22semidirect
147. #14582775C22semidirect
148. #14582775C22semidirect
149. #14582774C22semidirect
150. #14582773C22semidirect
151. #14582773C22semidirect
152. #14582773C22semidirect
153. #14582772C22semidirect
154. #14582772C22semidirect
155. #14582772C22semidirect
156. #14582772C22semidirect
157. #14582771C22semidirect
158. #14582771C22semidirect
159. #14582770C22semidirect
160. #14582770C22semidirect
161. #14582766C22semidirect
162. #14582763C22semidirect
163. #14582762C22semidirect
164. #14582762C22semidirect
165. #14582758C22semidirect
166. #14582755C22semidirect
168. #14582754C22semidirect
169. C22⋊C4×Dic43C22semidirect
170. #14582746C22semidirect
171. #14582746C22semidirect
172. #95×D43C22semidirect
173. #95×D43C22semidirect
174. C24×C4×C43C22semidirect
176. C2×#121×C43C22semidirect
177. C2×#121×C43C22semidirect
179. C2×#120×C43C22semidirect
181. C43×#386C22semidirect
182. C43×#386C22semidirect
183. C43×#386C22semidirect
184. C43×#386C22semidirect
185. C43×#386C22semidirect
186. C43×#380C22semidirect
187. C43×#380C22semidirect
188. C43×#380C22semidirect
250. C4×C22⋊D43D4semidirect
465. C22×C4×C43C2×D4semidirect
601. C22⋊Dic43C2×D4semidirect
639. Dic43⋊C4C2×D4semidirect
646. C4×Dic43C2×D4semidirect
867. C22×C43#538semidirect
926. #2847D43semidirect
970. C24×C4C2×D43semidirect
986. C2×#121C2×D43semidirect
987. C2×#121C2×D43semidirect
994. C2×#120C2×D43semidirect
1091. #386C2×D43semidirect
1092. #386C2×D43semidirect
1093. #386C2×D43semidirect
1094. #386C2×D43semidirect
1095. #386C2×D43semidirect
1113. #380C2×D43semidirect
1114. #380C2×D43semidirect
1115. #380C2×D43semidirect
1124. C43#34990semidirect
1489. C22×C4D4×D43semidirect
1825. C22#14583481semidirect

Maximal subgroups

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

subgroupindex
C2×#145834812
C22×C4×C22⋊D432
#191429082
#191428922
#191428872
#191404962
#191404802
#191404512
#191404362
#191388632
#191387202
#191386532
#191385312
#191384922
#191384912
#191384262
#191383422
#191383262
#191382632
#191381352
#191381282
#191380562
#191379662
#191379652
#191379062
#191372972
#191372512
#191372302
#191371002
#386×D432
C43×#28472
#3499043