Finite Group Databasebeta

← #25266790

Subgroups — #25266790

Order 11008.

2804 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583435C211yesmaximal, characteristic, complemented
2C2×#14583412C211yesmaximal, characteristic, complemented
3#19139746C211yesmaximal, characteristic, complemented
4#19139731C211yesmaximal, characteristic, complemented
5#19139716C211yesmaximal, characteristic, complemented
6#19139701C211yesmaximal, characteristic, complemented
7#19139682C211yesmaximal, characteristic, complemented
8#19139670C211yesmaximal, characteristic, complemented
9#19139658C211yesmaximal, characteristic, complemented
10#19139643C211yesmaximal, characteristic, complemented
11#19139555C211yesmaximal, characteristic, complemented
12#19139521C211yesmaximal, characteristic, complemented
13#19139487C211yesmaximal, characteristic, complemented
14#19138927C211yesmaximal, characteristic, complemented
15#19138728C211yesmaximal, characteristic, complemented
16#19138144C211yesmaximal, characteristic, complemented
17#19138129C211yesmaximal, characteristic, complemented
18#19137866C211yesmaximal, characteristic, complemented
19#19137859C211yesmaximal, characteristic, complemented
20#19137836C211yesmaximal, characteristic, complemented
21#19137813C211yesmaximal, characteristic, complemented
22#19137138C211yesmaximal, characteristic, complemented
23#19137114C211yesmaximal, characteristic, complemented
24#19137103C211yesmaximal, characteristic, complemented
25#19137101C211yesmaximal, characteristic, complemented
26#19137096C211yesmaximal, characteristic, complemented
27#19137084C211yesmaximal, characteristic, complemented
28#19137053C211yesmaximal, characteristic, complemented
29C4×(C22⋊D43)⋊C4C211yesmaximal, characteristic, complemented
30C2×#14582746C211yesmaximal, characteristic, complemented
31C43×#2549C211yesmaximal, characteristic, complemented
32C22×#10621902C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34#14583435—28no—
35C2×#13063320C2211yescharacteristic, complemented
36C2×#13063320C2211yescharacteristic, complemented
37C2×#13063316C2211yescharacteristic, complemented
38C2×#13063314C2211yescharacteristic
39C2×#13063314C2211yescharacteristic, complemented
40#14583412—28no—
41C2×#13063310C2211yescharacteristic
42C2×#13063310C2211yescharacteristic
43C2×#13063309C2211yescharacteristic
44C2×#13063309C2211yescharacteristic
45C2×#13063309C2211yescharacteristic
46C2×#13063301C2211yescharacteristic
47C2×#13063300C2211yescharacteristic
48C2×#13063300C2211yescharacteristic
49C2×#13063299C2211yescharacteristic
50C2×#13063299C2211yescharacteristic
51C2×#13063299C2211yescharacteristic
52C2×#13063295C2211yescharacteristic
53C2×#13063295C2211yescharacteristic
54C2×#13063295C2211yescharacteristic
55C2×Q8×Dic43C2211yescharacteristic, complemented
56C2×#13063287C2211yescharacteristic
57C2×#13063287C2211yescharacteristic
58C2×#13063287C2211yescharacteristic
59C2×#13063287C2211yescharacteristic
60C2×#13063287C2211yescharacteristic, complemented
61C2×#13063287C2211yescharacteristic, complemented
62C2×C4×C22⋊D43C2211yescharacteristic
63C2×(C22⋊D43)⋊C4C2211yescharacteristic
64C2×(C22⋊D43)⋊C4C2211yescharacteristic
65C2×(C22⋊D43)⋊C4C2211yescharacteristic
66C2×(C22⋊D43)⋊C4C2211yescharacteristic
67C2×#13063283C2211yescharacteristic
68C2×#13063283C2211yescharacteristic, complemented
69C2×#13063283C2211yescharacteristic, complemented
70C22×(C2×D43)⋊C4C2211yescharacteristic
71C22×(C2×D43)⋊C4C2211yescharacteristic
72C22×C4×Dic43C2211yescharacteristic
73C22×C4×Dic43C2211yescharacteristic
74C2×C42×D43C2211yescharacteristic, complemented
75#14582838C2211yescharacteristic, complemented
76#14582838C2211yescharacteristic, complemented
77#14582836C2211yescharacteristic
78#14582836C2211yescharacteristic
79#14582831C2211yescharacteristic, complemented
80#14582831C2211yescharacteristic, complemented
81#14582826C2211yescharacteristic, complemented
82#14582826C2211yescharacteristic, complemented
83#14582825C2211yescharacteristic
84#14582825C2211yescharacteristic, complemented
85#14582821C2211yescharacteristic
86#14582821C2211yescharacteristic
87#14582821C2211yescharacteristic
88#14582821C2211yescharacteristic, complemented
89#14582817C2211yescharacteristic
90#14582817C2211yescharacteristic, complemented
91#14582816C2211yescharacteristic
92#14582816C2211yescharacteristic
93#14582816C2211yescharacteristic
94#14582816C2211yescharacteristic
95#14582816C2211yescharacteristic
96#14582816C2211yescharacteristic, complemented
97#14582810C2211yescharacteristic
98#14582810C2211yescharacteristic, complemented
99#14582809C2211yescharacteristic
100#14582809C2211yescharacteristic
101#14582809C2211yescharacteristic
102#14582809C2211yescharacteristic, complemented
103#14582806C2211yescharacteristic, complemented
104#14582801C2211yescharacteristic
105#14582801C2211yescharacteristic
106#14582801C2211yescharacteristic
107#14582801C2211yescharacteristic
108#14582800C2211yescharacteristic
109#14582800C2211yescharacteristic
110#14582800C2211yescharacteristic, complemented
111#14582798C2211yescharacteristic, complemented
112#14582795C2211yescharacteristic, complemented
113#14582791C2211yescharacteristic
114#14582791C2211yescharacteristic
115#14582791C2211yescharacteristic
116#14582791C2211yescharacteristic, complemented
117#14582791C2211yescharacteristic, complemented
118#14582791C2211yescharacteristic, complemented
119#14582789C2211yescharacteristic
120#14582789C2211yescharacteristic
121#14582789C2211yescharacteristic, complemented
122#14582789C2211yescharacteristic, complemented
123#14582789C2211yescharacteristic, complemented
124#14582789C2211yescharacteristic, complemented
125#14582788C2211yescharacteristic, complemented
126#14582788C2211yescharacteristic, complemented
127#14582782C2211yescharacteristic, complemented
128#14582782C2211yescharacteristic, complemented
129#14582778C2211yescharacteristic
130#14582778C2211yescharacteristic
131#14582777C2211yescharacteristic
132#14582777C2211yescharacteristic
133#14582777C2211yescharacteristic
134#14582777C2211yescharacteristic
135#14582777C2211yescharacteristic
136#14582777C2211yescharacteristic, complemented
137#14582777C2211yescharacteristic, complemented
138#14582777C2211yescharacteristic, complemented
139#14582776C2211yescharacteristic
140#14582776C2211yescharacteristic
141#14582770C2211yescharacteristic
142#14582770C2211yescharacteristic
143#14582764C2211yescharacteristic, complemented
144#14582760C2211yescharacteristic
145#14582756C2211yescharacteristic, complemented
146#14582754C2211yescharacteristic
147C4⋊C4×Dic43C2211yescharacteristic, complemented
148C4⋊C4×Dic43C2211yescharacteristic, complemented
149C4⋊C4×Dic43C2211yescharacteristic, complemented
150C4×Dic43⋊C4C2211yescharacteristic, complemented
151#14582750C2211yescharacteristic, complemented
152#14582750C2211yescharacteristic, complemented
153C22⋊C4×Dic43C2211yescharacteristic
154C22⋊C4×Dic43C2211yescharacteristic
155C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
156#14582746C2211yescharacteristic
157#14582746C2211yescharacteristic
158#14582746C2211yescharacteristic
159#14582746C2211yescharacteristic
160#14582746C2211yescharacteristic
161#14582746C2211yescharacteristic
162#14582746C2211yescharacteristic
163#14582746C2211yescharacteristic
164#14582746C2211yescharacteristic
165#14582746C2211yescharacteristic
166#14582746C2211yescharacteristic, complemented
167#14582746C2211yescharacteristic, complemented
168#14582746C2211yescharacteristic, complemented
169#14582746C2211yescharacteristic, complemented
170#14582746C2211yescharacteristic, complemented
171#14582746C2211yescharacteristic, complemented
172C2×C43⋊#95C2211yescharacteristic
173C42×Dic43C2211yescharacteristic, complemented
174C2×C22⋊Q8×C43C2211yescharacteristic
175C2×C22⋊Q8×C43C2211yescharacteristic
176C43×#398C2211yescharacteristic, complemented
177C43×#398C2211yescharacteristic, complemented
178C43×#395C2211yescharacteristic, complemented
179C43×#395C2211yescharacteristic, complemented
180C43×#391C2211yescharacteristic, complemented
181C43×#391C2211yescharacteristic, complemented
182C43×#389C2211yescharacteristic, complemented
183C43×#389C2211yescharacteristic, complemented
184C43×#385C2211yescharacteristic
185C43×#385C2211yescharacteristic
186C43×#380C2211yescharacteristic
187C4×C22⋊C4×C43C2211yescharacteristic
188C2×#95×C43C2211yescharacteristic
189C24×D43C2311yescharacteristic
190C2×#10621902—24no—
191C2×#10621902—24no—
192C2×#10621902—42no—
193C22×D172C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×D172C2311yescharacteristic
201C22×D172C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C23×Dic43C2311yescharacteristic
206C23×Dic43C2311yescharacteristic
207C23×Dic43C2311yescharacteristic
208C22×C4×D43—24no—
209C22×C4×D43—24no—
210C22×C4×D43—42no—
211C22×C4×D43C2311yescharacteristic
212C22×C4×D43C2311yescharacteristic
213C22×C4×D43C2311yescharacteristic
214C22×C4×D43C2311yescharacteristic
215C22×C4×D43C2311yescharacteristic
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220#13063320—24no—
221#13063320—24no—
222#13063316—24no—
223#13063314—24no—
224#13063314—24no—
225#13063310—24no—
226#13063310—24no—
227#13063309—24no—
228#13063309—24no—
229#13063309—24no—
230#13063301—24no—
231#13063300—24no—
232#13063300—24no—
233#13063299—24no—
234#13063299—24no—
235#13063299—24no—
236#13063295—24no—
237#13063295—24no—
238#13063295—24no—
239Q8×Dic43—24no—
240#13063287—24no—
241#13063287—24no—
242#13063287—24no—
243#13063287—24no—
244#13063287—42no—
245#13063287—42no—
246C4×C22⋊D43—24no—
247(C22⋊D43)⋊C4—24no—
248(C22⋊D43)⋊C4—24no—
249(C22⋊D43)⋊C4—24no—
250(C22⋊D43)⋊C4D418yescomplemented
251#13063283—24no—
252#13063283—24no—
253#13063283—24no—
254C2×C4⋊Dic43C2311yescharacteristic
255C2×C4⋊Dic43C2311yescharacteristic
256C2×C4⋊Dic43C2311yescharacteristic
257C2×C4⋊Dic43C2311yescharacteristic
258C2×C4⋊Dic43C2311yescharacteristic
259C2×C4⋊Dic43C2311yescharacteristic
260C2×C4⋊Dic43C2311yescharacteristic
261C2×C4⋊Dic43C2311yescharacteristic
262C2×C4⋊Dic43C2311yescharacteristic
263C2×Dic43⋊C4C2311yescharacteristic
264C2×Dic43⋊C4C2311yescharacteristic
265C2×Dic43⋊C4C2311yescharacteristic
266C2×Dic43⋊C4C2311yescharacteristic
267C2×Dic43⋊C4C2311yescharacteristic
268C2×C22⋊Dic43C2311yescharacteristic
269C2×(C2×D43)⋊C4—24no—
270C2×(C2×D43)⋊C4—24no—
271C2×(C2×D43)⋊C4C2311yescharacteristic
272C2×(C2×D43)⋊C4C2311yescharacteristic
273C2×(C2×D43)⋊C4C2311yescharacteristic
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
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
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×C4×Dic43—24no—
315C2×C4×Dic43—42no—
316C2×C4×Dic43C2311yescharacteristic
317C2×C4×Dic43C2311yescharacteristic
318C2×C4×Dic43C2311yescharacteristic
319C2×C4×Dic43C2311yescharacteristic
320C2×C4×Dic43C2311yescharacteristic
321C2×C4×Dic43C2311yescharacteristic
322C2×C4×Dic43C2311yescharacteristic
323C2×C4×Dic43C2311yescharacteristic
324C2×C4×Dic43C2311yescharacteristic
325C2×C4×Dic43C2311yescharacteristic
326C2×C4×Dic43C2311yescharacteristic
327C2×C4×Dic43C2311yescharacteristic
328C2×C4×Dic43C2311yescharacteristic
329C2×C4×Dic43C2311yescharacteristic
330C2×C4×Dic43C2311yescharacteristic
331C2×C4×Dic43C2311yescharacteristic
332C2×C4×Dic43C2311yescharacteristic
333C42×D43—42no—
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
354C22×Q8×C43C2311yescharacteristic
355C22×Q8×C43C2311yescharacteristic
356C23×C4×C43C2311yescharacteristic
357C23×C4×C43C2311yescharacteristic
358C23×C4×C43C2311yescharacteristic
359C22⋊Q8×C43—24no—
360C22⋊Q8×C43—24no—
361C2×C4⋊C4×C43C2311yescharacteristic
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C4⋊C4×C43C2311yescharacteristic
364C2×C4⋊C4×C43C2311yescharacteristic
365C2×C4⋊C4×C43C2311yescharacteristic
366C2×C4⋊C4×C43C2311yescharacteristic
367C2×C4⋊C4×C43C2311yescharacteristic
368C2×C4⋊C4×C43C2311yescharacteristic
369C2×C4⋊C4×C43C2311yescharacteristic
370C2×C4⋊C4×C43C2311yescharacteristic
371C2×C4⋊C4×C43C2311yescharacteristic
372C2×C4⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×C42×C43C2311yescharacteristic
378C2×C42×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385#95×C43C2311yescharacteristic
386#95×C43C2311yescharacteristic
387#95×C43C2311yescharacteristic
388#95×C43C2311yescharacteristic
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391C24×C43C2411yescharacteristic
392C23×D43—22no—
393C23×D43—22no—
394C23×D43—22no—
395C23×D43—22no—
396C23×D43—22no—
397C23×D43—41no—
398C23×D43—41no—
399C23×D43C2411yescharacteristic
400C23×D43C2411yescharacteristic
401C23×D43C2411yescharacteristic
402C23×D43C2411yescharacteristic
403C23×D43C2411yescharacteristic
404C2×Q8×C43—22no—
405C2×Q8×C43—22no—
406C2×Q8×C43—22no—
407C2×Q8×C43—22no—
408C2×Q8×C43—41no—
409C2×Q8×C43—41no—
410C22×C4×C43—22no—
411C22×C4×C43—22no—
412C22×C4×C43—22no—
413C22×C4×C43—22no—
414C22×C4×C43—41no—
415C22×C4×C43—41no—
416C22×C4×C43—41no—
417C22×C4×C43—41no—
418C22×C4×C43#4114yescomplemented
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C22×C4×C43C2411yescharacteristic
423C22×C4×C43C2411yescharacteristic
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C22×C4×C43C2411yescharacteristic
427C22×C4×C43C2411yescharacteristic
428C22×C4×C43C2411yescharacteristic
429C22×C4×C43C2411yescharacteristic
430C22×C4×C43C2411yescharacteristic
431C22×C4×C43C2411yescharacteristic
432C22×C4×C43C2411yescharacteristic
433C2×C22⋊D43—22no—
434C2×C22⋊D43—22no—
435C2×C22⋊D43—22no—
436C2×C22⋊D43—22no—
437C2×C22⋊D43—22no—
438C2×C22⋊D43—22no—
439C2×C22⋊D43—22no—
440C2×C22⋊D43—22no—
441C2×C22⋊D43C2×D414yes—
442C22×Dic43—22no—
443C22×Dic43—22no—
444C22×Dic43—22no—
445C22×Dic43—22no—
446C22×Dic43—22no—
447C22×Dic43—22no—
448C22×Dic43—22no—
449C22×Dic43—41no—
450C22×Dic43C2×D414yes—
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2411yescharacteristic
460C22×Dic43C2411yescharacteristic
461C22×Dic43C2411yescharacteristic
462#10621902—416no—
463C2×D172—22no—
464C2×D172—22no—
465C2×D172—22no—
466C2×D172—22no—
467C2×D172—22no—
468C2×D172—22no—
469C2×D172—22no—
470C2×D172—22no—
471C2×D172—22no—
472C2×D172—22no—
473C2×D172—22no—
474C2×D172—22no—
475C2×D172—22no—
476C2×D172—22no—
477C2×D172—22no—
478C2×D172—22no—
479C2×D172—22no—
480C2×D172—41no—
481C2×D172—41no—
482C2×D172—41no—
483C2×D172—41no—
484C2×D172—41no—
485C2×D172—41no—
486C2×D172—41no—
487C2×D172—41no—
488C2×D172—41no—
489C2×D172—41no—
490C2×C4×D43—22no—
491C2×C4×D43—22no—
492C2×C4×D43—22no—
493C2×C4×D43—22no—
494C2×C4×D43—22no—
495C2×C4×D43—22no—
496C2×C4×D43—22no—
497C2×C4×D43—22no—
498C2×C4×D43—22no—
499C2×C4×D43—22no—
500C2×C4×D43—22no—
501C2×C4×D43—22no—
502C2×C4×D43—22no—
503C2×C4×D43—22no—
504C2×C4×D43—22no—
505C2×C4×D43—22no—
506C2×C4×D43—22no—
507C2×C4×D43—22no—
508C2×C4×D43—22no—
509C2×C4×D43—22no—
510C2×C4×D43—41no—
511C2×C4×D43—41no—
512C2×C4×D43—41no—
513C2×C4×D43—41no—
514C2×C4×D43—41no—
515C2×C4×D43—416no—
516C2×C4×D43C2×D414yes—
517C2×C4×D43#4114yes—
518C4⋊C4×C43—22no—
519C4⋊C4×C43—22no—
520C4⋊C4×C43—22no—
521C4⋊C4×C43—22no—
522C4⋊C4×C43—22no—
523C4⋊C4×C43—22no—
524C4⋊C4×C43—22no—
525C4⋊C4×C43—22no—
526C4⋊C4×C43—41no—
527C4⋊C4×C43—41no—
528C4⋊C4×C43—41no—
529C4⋊C4×C43—41no—
530C22⋊C4×C43—22no—
531C22⋊C4×C43—22no—
532C22⋊C4×C43C2×D414yes—
533C22⋊C4×C43#4114yescomplemented
534C42×C43—41no—
535C42×C43—41no—
536C22⋊Dic43—22no—
537(C2×D43)⋊C4—22no—
538(C2×D43)⋊C4—22no—
539(C2×D43)⋊C4—22no—
540(C2×D43)⋊C4—22no—
541(C2×D43)⋊C4—22no—
542(C2×D43)⋊C4—22no—
543(C2×D43)⋊C4—22no—
544(C2×D43)⋊C4—22no—
545(C2×D43)⋊C4—22no—
546(C2×D43)⋊C4—22no—
547(C2×D43)⋊C4—22no—
548(C2×D43)⋊C4—22no—
549(C2×D43)⋊C4—22no—
550(C2×D43)⋊C4—22no—
551(C2×D43)⋊C4—22no—
552(C2×D43)⋊C4—22no—
553(C2×D43)⋊C4—22no—
554(C2×D43)⋊C4—22no—
555(C2×D43)⋊C4—22no—
556(C2×D43)⋊C4—22no—
557(C2×D43)⋊C4—22no—
558(C2×D43)⋊C4—22no—
559(C2×D43)⋊C4—22no—
560(C2×D43)⋊C4—22no—
561(C2×D43)⋊C4—22no—
562(C2×D43)⋊C4—22no—
563(C2×D43)⋊C4—22no—
564(C2×D43)⋊C4—22no—
565(C2×D43)⋊C4—22no—
566(C2×D43)⋊C4—22no—
567(C2×D43)⋊C4—22no—
568(C2×D43)⋊C4—22no—
569(C2×D43)⋊C4—22no—
570(C2×D43)⋊C4—22no—
571(C2×D43)⋊C4—22no—
572(C2×D43)⋊C4—41no—
573(C2×D43)⋊C4—41no—
574(C2×D43)⋊C4—41no—
575(C2×D43)⋊C4—41no—
576(C2×D43)⋊C4—41no—
577(C2×D43)⋊C4—41no—
578(C2×D43)⋊C4C2×D414yes—
579(C2×D43)⋊C4#4114yescomplemented
580C4⋊Dic43—22no—
581C4⋊Dic43—22no—
582C4⋊Dic43—22no—
583C4⋊Dic43—22no—
584C4⋊Dic43—22no—
585C4⋊Dic43—22no—
586C4⋊Dic43—22no—
587C4⋊Dic43—22no—
588C4⋊Dic43—22no—
589Dic43⋊C4—22no—
590Dic43⋊C4—22no—
591Dic43⋊C4—22no—
592Dic43⋊C4—22no—
593Dic43⋊C4C2×D414yes—
594C4×Dic43—22no—
595C4×Dic43—22no—
596C4×Dic43—22no—
597C4×Dic43—22no—
598C4×Dic43—22no—
599C4×Dic43—22no—
600C4×Dic43—22no—
601C4×Dic43—22no—
602C4×Dic43—22no—
603C4×Dic43—22no—
604C4×Dic43—22no—
605C4×Dic43—22no—
606C4×Dic43—22no—
607C4×Dic43—41no—
608C4×Dic43—41no—
609C4×Dic43—41no—
610C4×Dic43C2×D414yes—
611C23×C43—21no—
612C23×C43—21no—
613C23×C43—21no—
614C23×C43—21no—
615C23×C43C22×D412yes—
616C23×C43C2×#4112yes—
617C23×C43C2×#4112yes—
618C23×C43C2511yescharacteristic
619C22×D43—28no—
620C22×D43—21no—
621C22×D43—21no—
622C22×D43—21no—
623C22×D43—21no—
624C22×D43—21no—
625C22×D43—21no—
626C22×D43—21no—
627C22×D43—21no—
628C22×D43—21no—
629C22×D43—21no—
630C22×D43—21no—
631C22×D43—21no—
632C22×D43—21no—
633C22×D43—21no—
634C22×D43—21no—
635C22×D43—21no—
636C22×D43—21no—
637C22×D43—21no—
638C22×D43—21no—
639C22×D43—21no—
640C22×D43—21no—
641C22×D43—21no—
642C22×D43—21no—
643C22×D43—21no—
644C22×D43—21no—
645C22×D43—21no—
646C22×D43—21no—
647C22×D43—21no—
648C22×D43—21no—
649C22×D43—21no—
650C22×D43—21no—
651C22×D43—21no—
652C22×D43—44no—
653C22×D43—44no—
654C22×D43—44no—
655C22×D43—44no—
656C22×D43—44no—
657C22×D43—44no—
658C22×D43C22×D412yes—
659C22×D43C2×#4112yes—
660C22×D43C2×#4112yes—
661Q8×C43—44no—
662Q8×C43—44no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—21no—
667C2×C4×C43—21no—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—44no—
698C2×C4×C43—44no—
699C2×C4×C43—44no—
700C2×C4×C43C22×D412yes—
701C2×C4×C43C22×D412yes—
702C2×C4×C43C2×#4112yes—
703C2×C4×C43C2×#4112yes—
704C2×C4×C43C2×#4112yes—
705C2×C4×C43C2×#4112yes—
706C2×C4×C43C2×#4112yes—
707C2×C4×C43C2×#4112yes—
708C22⋊D43—28no—
709C22⋊D43—44no—
710C22⋊D43—44no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—28no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—44no—
740C2×Dic43—44no—
741C2×Dic43C22×D412yes—
742C2×Dic43C22×D412yes—
743C2×Dic43C22×D412yes—
744C2×Dic43C2×#4112yes—
745C2×Dic43C2×#4112yes—
746C2×Dic43H(5,𝔽2)12yes—
747D172—44no—
748D172—44no—
749D172—44no—
750D172—44no—
751D172—44no—
752D172—44no—
753D172—44no—
754D172—44no—
755D172—44no—
756C4×D43—28no—
757C4×D43—28no—
758C4×D43—44no—
759C4×D43—44no—
760C4×D43—44no—
761C4×D43—44no—
762C4×D43—44no—
763C4×D43—44no—
764C4×D43—44no—
765#34829—431nomaximal, Sylow
766C22×C43—22no—
767C22×C43—22no—
768C22×C43—22no—
769C22×C43—22no—
770C22×C43—22no—
771C22×C43—22no—
772C22×C43#53214yes—
773C22×C43C23×D411yescharacteristic
774C22×C43C22×#4111yescharacteristic
775C22×C43C22×#4111yescharacteristic
776C22×C43C22×#4111yescharacteristic
777C22×C43C22×#4111yescharacteristic
778C22×C43C2×H(5,𝔽2)11yescharacteristic
779C22×C43#58511yescharacteristic
780C2×D43—22no—
781C2×D43—22no—
782C2×D43—22no—
783C2×D43—22no—
784C2×D43—22no—
785C2×D43—22no—
786C2×D43—22no—
787C2×D43—22no—
788C2×D43—22no—
789C2×D43—416no—
790C2×D43—41no—
791C2×D43—41no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—41no—
798C2×D43—41no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—41no—
803C2×D43—41no—
804C2×D43—41no—
805C2×D43—41no—
806C2×D43—41no—
807C2×D43—41no—
808C2×D43—41no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—41no—
813C2×D43—41no—
814C2×D43—41no—
815C2×D43—41no—
816C4×C43—22no—
817C4×C43—22no—
818C4×C43—22no—
819C4×C43—22no—
820C4×C43—22no—
821C4×C43—22no—
822C4×C43—22no—
823C4×C43—22no—
824C4×C43—41no—
825C4×C43—41no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830Dic43—22no—
831Dic43—22no—
832Dic43—22no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43—41no—
838Dic43—41no—
839Dic43—41no—
840Dic43#54614yes—
841C2×#529—431no—
842C2×#525—431no—
843#2560—431no—
844#2559—431no—
845#2558—431no—
846#2557—431no—
847#2556—431no—
848#2555—431no—
849#2554—431no—
850#2553—431no—
851#2549D4311yescharacteristic, complemented
852#2543—431no—
853#2539—431no—
854#2534—431no—
855#2488—431no—
856#2472—431no—
857#2425—431no—
858#2424—431no—
859#2396—431no—
860#2395—431no—
861#2392—431no—
862#2388—431no—
863C4×#124—431no—
864C4×#123—431no—
865C4×#121—431no—
866C4×#121—431no—
867C4×#120—431no—
868#2297—431no—
869#2293—431no—
870C42×D4—431no—
871C2×C4×C22⋊C4—431no—
872C2×C43—24no—
873C2×C43C2×#53211yescharacteristic
874C2×C43#344411yescharacteristic
875C2×C43#345911yescharacteristic
876C2×C43C2×#54611yescharacteristic
877C2×C43D4×#4111yescharacteristic
878C2×C43#347511yescharacteristic
879C2×C43#348111yescharacteristic
880D43—42no—
881D43—42no—
882D43—42no—
883D43—81no—
884D43—81no—
885C22×#41—431no—
886C24×C4—431no—
887#529—868no—
888C2×#126—431no—
889C2×#126—431no—
890C2×#125—431no—
891C2×#124—431no—
892C2×#124—431no—
893#525—868no—
894C2×#123—431no—
895C2×#123—431no—
896C2×#123—431no—
897C2×#123—431no—
898C2×#123—431no—
899C2×C22⋊Q8—431no—
900C2×C22⋊Q8C2×D4311yescharacteristic
901C2×C22⋊Q8C2×D4311yescharacteristic
902C2×#121—431no—
903C2×#121—431no—
904C2×#121—431no—
905C2×#121—431no—
906C2×#121—431no—
907C2×#120—431no—
908C2×#120—431no—
909C2×#120—431no—
910C2×C4×Q8—431no—
911C2×C4×D4—431no—
912C2×C4×D4—431no—
913C2×C4×D4—431no—
914C2×C4×D4—431no—
915C2×C4×D4—431no—
916C2×C4×D4—431no—
917C2×C4×D4—431no—
918C2×C4×D4—431no—
919C2×C4×D4—431no—
920C2×C4×D4—431no—
921C2×C4×D4—431no—
922C2×#117—431no—
923C2×#117—431no—
924C2×#117—431no—
925C22×C22⋊C4—431no—
926C22×C22⋊C4—431no—
927C22×C42—431no—
928C22×C42—431no—
929C22×C42—431no—
930#400—431no—
931#400—431no—
932#399—431no—
933#399—431no—
934#398—431no—
935#398—431no—
936#398C2×D4311yescharacteristic, complemented
937#398C2×D4311yescharacteristic, complemented
938#397—431no—
939#397—431no—
940#397—431no—
941#397—431no—
942#396—431no—
943#396—431no—
944#396—431no—
945#396—431no—
946#395C2×D4311yescharacteristic, complemented
947#395C2×D4311yescharacteristic, complemented
948#394—431no—
949#394—431no—
950#394—431no—
951#394—431no—
952#394—431no—
953#394—431no—
954#394—431no—
955#394—431no—
956#393—431no—
957#393—431no—
958#392—431no—
959#392—431no—
960#392—431no—
961#392—431no—
962#391—431no—
963#391C2×D4311yescharacteristic, complemented
964#391C2×D4311yescharacteristic, complemented
965#390—431no—
966#390—431no—
967#390—431no—
968#390—431no—
969#390—431no—
970#390—431no—
971#390—431no—
972#389—431no—
973#389—431no—
974#389C2×D4311yescharacteristic, complemented
975#389C2×D4311yescharacteristic, complemented
976#388—431no—
977#388—431no—
978#388—431no—
979#388—431no—
980#388—431no—
981#388—431no—
982#388—431no—
983#388—431no—
984#388—431no—
985#388—431no—
986#388—431no—
987#388—431no—
988#388—431no—
989#388—431no—
990#387—431no—
991#387—431no—
992#386—431no—
993#386—431no—
994#386—431no—
995#386—431no—
996#386—431no—
997#386—431no—
998#386—431no—
999#386—431no—
1000#386—431no—
1001#386—431no—
1002#386—431no—
1003#386—431no—
1004#385—431no—
1005#385—431no—
1006#385C2×D4311yescharacteristic
1007#385C2×D4311yescharacteristic
1008#382—431no—
1009#381—431no—
1010#380—431no—
1011#380C2×D4311yescharacteristic
1012#379—431no—
1013C4×C4⋊C4—431no—
1014C4×C4⋊C4—431no—
1015C4×C4⋊C4—431no—
1016C4×C4⋊C4—431no—
1017C4×C4⋊C4—431no—
1018C4×C4⋊C4—431no—
1019C4×C22⋊C4—431no—
1020C4×C22⋊C4—431no—
1021C4×C22⋊C4—431no—
1022C4×C22⋊C4—431no—
1023C4×C22⋊C4—431no—
1024C4×C22⋊C4—431no—
1025C4×C22⋊C4—431no—
1026C4×C22⋊C4—431no—
1027C4×C22⋊C4—431no—
1028C4×C22⋊C4—431no—
1029C4×C22⋊C4—431no—
1030C4×C22⋊C4—431no—
1031C4×C22⋊C4—431no—
1032C4×C22⋊C4—431no—
1033C4×C22⋊C4—431no—
1034C4×C22⋊C4—431no—
1035C4×C22⋊C4—431no—
1036C4×C22⋊C4—431no—
1037C4×C22⋊C4—431no—
1038C4×C22⋊C4C2×D4311yescharacteristic
1039C2×#95—431no—
1040C2×#95C2×D4311yescharacteristic
1041C43—431no—
1042C43#3482911yescharacteristic, complemented, Sylow
1043C25—431no—
1044C2×#41—864no—
1045C2×#41—864no—
1046C2×#41—1722no—
1047C22×Q8C22×D4311yescharacteristic
1048C22×Q8C22×D4311yescharacteristic
1049C22×D4—431no—
1050C22×D4—431no—
1051C22×D4—431no—
1052C22×D4—431no—
1053C22×D4—431no—
1054C22×D4—431no—
1055C22×D4—431no—
1056C22×D4—431no—
1057C22×D4—431no—
1058C22×D4—431no—
1059C22×D4—431no—
1060C22×D4—431no—
1061C23×C4—431no—
1062C23×C4—431no—
1063C23×C4—431no—
1064C23×C4—431no—
1065C23×C4—431no—
1066C23×C4—431no—
1067C23×C4—431no—
1068C23×C4—431no—
1069C23×C4—431no—
1070C23×C4—431no—
1071C23×C4—431no—
1072C23×C4—431no—
1073C23×C4—864no—
1074C23×C4—864no—
1075C23×C4—1722no—
1076C23×C4C22×D4311yescharacteristic
1077C23×C4C22×D4311yescharacteristic
1078C23×C4C22×D4311yescharacteristic
1079#126—864no—
1080#126—864no—
1081#125—864no—
1082#124—864no—
1083#124—864no—
1084#123—864no—
1085#123—864no—
1086#123—864no—
1087#123—864no—
1088#123—864no—
1089C22⋊Q8—24no—
1090C22⋊Q8—24no—
1091C22⋊Q8—864no—
1092#121—864no—
1093#121—864no—
1094#121—864no—
1095#121—864no—
1096#121—864no—
1097#120—864no—
1098#120—864no—
1099#120—864no—
1100C4×Q8—864no—
1101C4×D4—438no—
1102C4×D4—864no—
1103C4×D4—864no—
1104C4×D4—864no—
1105C4×D4—864no—
1106C4×D4—864no—
1107C4×D4—864no—
1108C4×D4—864no—
1109C4×D4—864no—
1110C4×D4—1722no—
1111C4×D4—1722no—
1112#117—864no—
1113#117—864no—
1114#117—864no—
1115C2×C4⋊C4—431no—
1116C2×C4⋊C4—431no—
1117C2×C4⋊C4—431no—
1118C2×C4⋊C4—431no—
1119C2×C4⋊C4—431no—
1120C2×C4⋊C4—431no—
1121C2×C4⋊C4—431no—
1122C2×C4⋊C4—431no—
1123C2×C4⋊C4—431no—
1124C2×C4⋊C4—431no—
1125C2×C4⋊C4—431no—
1126C2×C4⋊C4—431no—
1127C2×C4⋊C4—431no—
1128C2×C4⋊C4—431no—
1129C2×C4⋊C4C22×D4311yescharacteristic
1130C2×C4⋊C4C22×D4311yescharacteristic
1131C2×C4⋊C4C22×D4311yescharacteristic
1132C2×C4⋊C4C22×D4311yescharacteristic
1133C2×C4⋊C4C22×D4311yescharacteristic
1134C2×C4⋊C4C22×D4311yescharacteristic
1135C2×C4⋊C4C22×D4311yescharacteristic
1136C2×C4⋊C4C22×D4311yescharacteristic
1137C2×C4⋊C4C22×D4311yescharacteristic
1138C2×C4⋊C4C22×D4311yescharacteristic
1139C2×C4⋊C4C22×D4311yescharacteristic
1140C2×C4⋊C4C22×D4311yescharacteristic
1141C2×C22⋊C4—431no—
1142C2×C22⋊C4—431no—
1143C2×C22⋊C4—431no—
1144C2×C22⋊C4—431no—
1145C2×C22⋊C4—431no—
1146C2×C22⋊C4—431no—
1147C2×C22⋊C4—431no—
1148C2×C22⋊C4—431no—
1149C2×C22⋊C4—431no—
1150C2×C22⋊C4—431no—
1151C2×C22⋊C4—431no—
1152C2×C22⋊C4—431no—
1153C2×C22⋊C4—431no—
1154C2×C22⋊C4—431no—
1155C2×C22⋊C4—431no—
1156C2×C22⋊C4—431no—
1157C2×C22⋊C4—431no—
1158C2×C22⋊C4—431no—
1159C2×C22⋊C4—431no—
1160C2×C22⋊C4—431no—
1161C2×C22⋊C4—431no—
1162C2×C22⋊C4—431no—
1163C2×C22⋊C4—431no—
1164C2×C22⋊C4—431no—
1165C2×C22⋊C4—431no—
1166C2×C22⋊C4—431no—
1167C2×C22⋊C4—431no—
1168C2×C22⋊C4—431no—
1169C2×C22⋊C4—431no—
1170C2×C22⋊C4—431no—
1171C2×C22⋊C4—431no—
1172C2×C22⋊C4—431no—
1173C2×C22⋊C4—431no—
1174C2×C22⋊C4—431no—
1175C2×C22⋊C4—431no—
1176C2×C22⋊C4—431no—
1177C2×C22⋊C4—431no—
1178C2×C22⋊C4—431no—
1179C2×C22⋊C4—431no—
1180C2×C22⋊C4—431no—
1181C2×C22⋊C4—431no—
1182C2×C22⋊C4—431no—
1183C2×C22⋊C4—431no—
1184C2×C22⋊C4—431no—
1185C2×C22⋊C4—864no—
1186C2×C22⋊C4—864no—
1187C2×C22⋊C4C22×D4311yescharacteristic
1188C2×C22⋊C4C22×D4311yescharacteristic
1189C2×C22⋊C4C22×D4311yescharacteristic
1190C2×C22⋊C4C22×D4311yescharacteristic
1191C2×C42—431no—
1192C2×C42—431no—
1193C2×C42—431no—
1194C2×C42—431no—
1195C2×C42—431no—
1196C2×C42—431no—
1197C2×C42—431no—
1198C2×C42—431no—
1199C2×C42—431no—
1200C2×C42—431no—
1201C2×C42—431no—
1202C2×C42—431no—
1203C2×C42—431no—
1204C2×C42—431no—
1205C2×C42—431no—
1206C2×C42—431no—
1207C2×C42—431no—
1208C2×C42—864no—
1209C2×C42—1722no—
1210C2×C42—1722no—
1211C2×C42C22×D4311yescharacteristic
1212C2×C42C22×D4311yescharacteristic
1213#95—431no—
1214#95—431no—
1215#95—431no—
1216#95—431no—
1217#95—431no—
1218#95—431no—
1219#95—431no—
1220#95—431no—
1221#95—431no—
1222#95—431no—
1223#95—431no—
1224#95—431no—
1225#95—431no—
1226#95—431no—
1227#95—431no—
1228#95—431no—
1229#95—431no—
1230#95—431no—
1231#95—431no—
1232#95—431no—
1233#95C22×D4311yescharacteristic
1234#95C22×D4311yescharacteristic
1235#95C22×D4311yescharacteristic
1236#95C22×D4311yescharacteristic
1237#95C22×D4311yescharacteristic
1238#95C22×D4311yescharacteristic
1239#95C22×D4311yescharacteristic
1240#95C22×D4311yescharacteristic
1241#95C22×D4311yescharacteristic
1242#95C22×D4311yescharacteristic
1243#95C22×D4311yescharacteristic
1244#95C22×D4311yescharacteristic
1245C24—431no—
1246C24—431no—
1247C24—431no—
1248C24—431no—
1249C24—431no—
1250C24—862no—
1251C24—862no—
1252C24—862no—
1253C24—862no—
1254C24—862no—
1255C24—1721no—
1256C24—1721no—
1257C24C23×D4311yescharacteristic
1258#41—17216no—
1259C2×Q8—22no—
1260C2×Q8—22no—
1261C2×Q8—22no—
1262C2×Q8—22no—
1263C2×Q8—41no—
1264C2×Q8—41no—
1265C2×D4—434no—
1266C2×D4—862no—
1267C2×D4—862no—
1268C2×D4—862no—
1269C2×D4—862no—
1270C2×D4—862no—
1271C2×D4—862no—
1272C2×D4—862no—
1273C2×D4—862no—
1274C2×D4—862no—
1275C2×D4—862no—
1276C2×D4—862no—
1277C2×D4—862no—
1278C2×D4—862no—
1279C2×D4—862no—
1280C2×D4—862no—
1281C2×D4—862no—
1282C2×D4—862no—
1283C2×D4—862no—
1284C2×D4—862no—
1285C2×D4—862no—
1286C2×D4—862no—
1287C2×D4—862no—
1288C2×D4—862no—
1289C2×D4—862no—
1290C2×D4—862no—
1291C2×D4—1721no—
1292C2×D4—1721no—
1293C2×D4—1721no—
1294C2×D4—1721no—
1295C2×D4—1721no—
1296C2×D4—1721no—
1297C2×D4—1721no—
1298C2×D4—1721no—
1299C2×D4—1721no—
1300C2×D4—1721no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—431no—
1310C22×C4—434no—
1311C22×C4—431no—
1312C22×C4—431no—
1313C22×C4—431no—
1314C22×C4—434no—
1315C22×C4—434no—
1316C22×C4—431no—
1317C22×C4—431no—
1318C22×C4—431no—
1319C22×C4—431no—
1320C22×C4—431no—
1321C22×C4—431no—
1322C22×C4—431no—
1323C22×C4—862no—
1324C22×C4—862no—
1325C22×C4—862no—
1326C22×C4—862no—
1327C22×C4—862no—
1328C22×C4—862no—
1329C22×C4—862no—
1330C22×C4—862no—
1331C22×C4—862no—
1332C22×C4—862no—
1333C22×C4—862no—
1334C22×C4—862no—
1335C22×C4—862no—
1336C22×C4—862no—
1337C22×C4—862no—
1338C22×C4—862no—
1339C22×C4—862no—
1340C22×C4—862no—
1341C22×C4—862no—
1342C22×C4—862no—
1343C22×C4—862no—
1344C22×C4—862no—
1345C22×C4—862no—
1346C22×C4—862no—
1347C22×C4—862no—
1348C22×C4—862no—
1349C22×C4—862no—
1350C22×C4—1721no—
1351C22×C4—1721no—
1352C22×C4—1721no—
1353C22×C4—1721no—
1354C22×C4—1721no—
1355C22×C4—17216no—
1356C22×C4—1721no—
1357C22×C4#1062190214yescomplemented
1358C22×C4C23×D4311yescharacteristic
1359C22×C4C23×D4311yescharacteristic
1360C22×C4C23×D4311yescharacteristic
1361C22×C4C23×D4311yescharacteristic
1362C22×C4C23×D4311yescharacteristic
1363C22×C4C23×D4311yescharacteristic
1364C22×C4C23×D4311yescharacteristic
1365C22×C4C23×D4311yescharacteristic
1366C22×C4C23×D4311yescharacteristic
1367C22×C4C23×D4311yescharacteristic
1368C22×C4C23×D4311yescharacteristic
1369C22×C4C23×D4311yescharacteristic
1370C22×C4C23×D4311yescharacteristic
1371C22×C4C23×D4311yescharacteristic
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—41no—
1381C4⋊C4—41no—
1382C4⋊C4—41no—
1383C4⋊C4—41no—
1384C4⋊C4—434no—
1385C4⋊C4—862no—
1386C4⋊C4—862no—
1387C4⋊C4—862no—
1388C4⋊C4—862no—
1389C4⋊C4—862no—
1390C4⋊C4—862no—
1391C4⋊C4—862no—
1392C4⋊C4—862no—
1393C4⋊C4—862no—
1394C4⋊C4—862no—
1395C4⋊C4—862no—
1396C4⋊C4—862no—
1397C4⋊C4—862no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—434no—
1401C22⋊C4—434no—
1402C22⋊C4—862no—
1403C22⋊C4—862no—
1404C22⋊C4—862no—
1405C22⋊C4—862no—
1406C22⋊C4—862no—
1407C22⋊C4—862no—
1408C22⋊C4—862no—
1409C22⋊C4—862no—
1410C22⋊C4—862no—
1411C22⋊C4—862no—
1412C22⋊C4—862no—
1413C22⋊C4—862no—
1414C22⋊C4—862no—
1415C22⋊C4—862no—
1416C22⋊C4—862no—
1417C22⋊C4—862no—
1418C22⋊C4—862no—
1419C22⋊C4—862no—
1420C22⋊C4—862no—
1421C22⋊C4—862no—
1422C22⋊C4—862no—
1423C22⋊C4—862no—
1424C22⋊C4—862no—
1425C22⋊C4—862no—
1426C22⋊C4—862no—
1427C22⋊C4—862no—
1428C22⋊C4—862no—
1429C22⋊C4—862no—
1430C22⋊C4—862no—
1431C22⋊C4—862no—
1432C22⋊C4—862no—
1433C22⋊C4—862no—
1434C22⋊C4—862no—
1435C22⋊C4—862no—
1436C22⋊C4—862no—
1437C22⋊C4—862no—
1438C22⋊C4—1721no—
1439C22⋊C4—1721no—
1440C22⋊C4—1721no—
1441C22⋊C4—1721no—
1442C22⋊C4—1721no—
1443C22⋊C4—1721no—
1444C22⋊C4D4×D4314yes—
1445C22⋊C4#1062190214yescomplemented
1446C42—41no—
1447C42—41no—
1448C42—434no—
1449C42—862no—
1450C42—862no—
1451C42—862no—
1452C42—862no—
1453C42—862no—
1454C42—862no—
1455C42—862no—
1456C42—862no—
1457C42—862no—
1458C42—862no—
1459C42—862no—
1460C42—862no—
1461C42—862no—
1462C42—1721no—
1463C42—1721no—
1464C42—1721no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—432no—
1470C23—432no—
1471C23—432no—
1472C23—868no—
1473C23—861no—
1474C23—861no—
1475C23—861no—
1476C23—861no—
1477C23—861no—
1478C23—861no—
1479C23—861no—
1480C23—861no—
1481C23—861no—
1482C23—861no—
1483C23—861no—
1484C23—861no—
1485C23—861no—
1486C23—861no—
1487C23—861no—
1488C23—861no—
1489C23—861no—
1490C23—861no—
1491C23—861no—
1492C23—861no—
1493C23—861no—
1494C23—861no—
1495C23—861no—
1496C23—861no—
1497C23—861no—
1498C23—861no—
1499C23—861no—
1500C23—861no—
1501C23—861no—
1502C23—861no—
1503C23—861no—
1504C23—861no—
1505C23—1724no—
1506C23—1724no—
1507C23—1724no—
1508C23—1724no—
1509C23—1724no—
1510C23—1724no—
1511C23C2×D4×D4312yes—
1512C23C2×#1062190212yes—
1513C23C2×#1062190212yes—
1514C23C24×D4311yescharacteristic
1515Q8—44no—
1516Q8—44no—
1517D4—868no—
1518D4—1724no—
1519D4—1724no—
1520D4—1724no—
1521D4—1724no—
1522D4—1724no—
1523D4—1724no—
1524D4—1724no—
1525D4—1724no—
1526D4—1724no—
1527D4—1724no—
1528D4—1724no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—432no—
1567C2×C4—432no—
1568C2×C4—432no—
1569C2×C4—432no—
1570C2×C4—432no—
1571C2×C4—432no—
1572C2×C4—868no—
1573C2×C4—868no—
1574C2×C4—868no—
1575C2×C4—861no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—861no—
1580C2×C4—861no—
1581C2×C4—861no—
1582C2×C4—861no—
1583C2×C4—861no—
1584C2×C4—861no—
1585C2×C4—861no—
1586C2×C4—861no—
1587C2×C4—861no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—1724no—
1603C2×C4—1724no—
1604C2×C4—1724no—
1605C2×C4—1724no—
1606C2×C4—1724no—
1607C2×C4—1724no—
1608C2×C4—1724no—
1609C2×C4—1724no—
1610C2×C4—1724no—
1611C2×C4C2×D4×D4312yes—
1612C2×C4C2×D4×D4312yes—
1613C2×C4#41×D4312yes—
1614C2×C4#41×D4312yes—
1615C2×C4C2×#1062190212yes—
1616C2×C4C2×#1062190212yes—
1617C2×C4C2×#1062190212yes—
1618C2×C4C2×#1062190212yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—862no—
1626C22—862no—
1627C22—862no—
1628C22—862no—
1629C22—862no—
1630C22—862no—
1631C22—862no—
1632C22—862no—
1633C22—862no—
1634C22—17216no—
1635C22—1721no—
1636C22—1721no—
1637C22—1721no—
1638C22—1721no—
1639C22—1721no—
1640C22—1721no—
1641C22—1721no—
1642C22—1721no—
1643C22—1721no—
1644C22—1721no—
1645C22—1721no—
1646C22—1721no—
1647C22—1721no—
1648C22—1721no—
1649C22—1721no—
1650C22—1721no—
1651C22—1721no—
1652C22—1721no—
1653C22—1721no—
1654C22—1721no—
1655C22—1721no—
1656C22—1721no—
1657C22—1721no—
1658C22—1721no—
1659C22—1721no—
1660C22—1721no—
1661C22#1458345014yes—
1662C22C22×D4×D4311yescharacteristic
1663C22C2×#41×D4311yescharacteristic
1664C22C2×#41×D4311yescharacteristic
1665C22C22×#1062190211yescharacteristic
1666C22C22×#1062190211yescharacteristic
1667C22H(5,𝔽2)×D4311yescharacteristic
1668C22#1458373411yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—434no—
1684C4—862no—
1685C4—862no—
1686C4—862no—
1687C4—1721no—
1688C4—1721no—
1689C4—1721no—
1690C4—1721no—
1691C4—1721no—
1692C4—1721no—
1693C4—1721no—
1694C2—24no—
1695C2—3441no—
1696C2—3441no—
1697C2—1722no—
1698C2—1722no—
1699C2—1722no—
1700C2C2×#1458345011yescharacteristic
1701C2#1914789211yescharacteristic
1702C2#1914800711yescharacteristic
1703C2#546×D4311yescharacteristic
1704C2#1914807911yescharacteristic
1705C2#1914816111yescharacteristic
1706C2#1914820611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2549C2
hypercenter#2549D43
hypocenterC43#34829
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2549

Complements

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

NH ≅ G/Ntype
1. C2×#14583435C2semidirect
2. C2×#14583412C2semidirect
3. #19139746C2semidirect
4. #19139731C2semidirect
5. #19139716C2semidirect
6. #19139701C2semidirect
7. #19139682C2semidirect
8. #19139670C2semidirect
9. #19139658C2semidirect
10. #19139643C2semidirect
11. #19139555C2semidirect
12. #19139521C2semidirect
13. #19139487C2semidirect
14. #19138927C2semidirect
15. #19138728C2semidirect
16. #19138144C2semidirect
17. #19138129C2semidirect
18. #19137866C2semidirect
19. #19137859C2semidirect
20. #19137836C2semidirect
21. #19137813C2semidirect
22. #19137138C2semidirect
23. #19137114C2semidirect
24. #19137103C2semidirect
25. #19137101C2semidirect
26. #19137096C2semidirect
27. #19137084C2semidirect
28. #19137053C2semidirect
29. C4×(C22⋊D43)⋊C4C2semidirect
30. C2×#14582746C2semidirect
31. C43×#2549C2semidirect
35. C2×#13063320C22semidirect
36. C2×#13063320C22semidirect
37. C2×#13063316C22semidirect
39. C2×#13063314C22semidirect
55. C2×Q8×Dic43C22semidirect
60. C2×#13063287C22semidirect
61. C2×#13063287C22semidirect
68. C2×#13063283C22semidirect
69. C2×#13063283C22semidirect
74. C2×C42×D43C22semidirect
75. #14582838C22semidirect
76. #14582838C22semidirect
79. #14582831C22semidirect
80. #14582831C22semidirect
81. #14582826C22semidirect
82. #14582826C22semidirect
84. #14582825C22semidirect
88. #14582821C22semidirect
90. #14582817C22semidirect
96. #14582816C22semidirect
98. #14582810C22semidirect
102. #14582809C22semidirect
103. #14582806C22semidirect
110. #14582800C22semidirect
111. #14582798C22semidirect
112. #14582795C22semidirect
116. #14582791C22semidirect
117. #14582791C22semidirect
118. #14582791C22semidirect
121. #14582789C22semidirect
122. #14582789C22semidirect
123. #14582789C22semidirect
124. #14582789C22semidirect
125. #14582788C22semidirect
126. #14582788C22semidirect
127. #14582782C22semidirect
128. #14582782C22semidirect
136. #14582777C22semidirect
137. #14582777C22semidirect
138. #14582777C22semidirect
143. #14582764C22semidirect
145. #14582756C22semidirect
147. C4⋊C4×Dic43C22semidirect
148. C4⋊C4×Dic43C22semidirect
149. C4⋊C4×Dic43C22semidirect
150. C4×Dic43⋊C4C22semidirect
151. #14582750C22semidirect
152. #14582750C22semidirect
155. C4×(C2×D43)⋊C4C22semidirect
166. #14582746C22semidirect
167. #14582746C22semidirect
168. #14582746C22semidirect
169. #14582746C22semidirect
170. #14582746C22semidirect
171. #14582746C22semidirect
173. C42×Dic43C22semidirect
176. C43×#398C22semidirect
177. C43×#398C22semidirect
178. C43×#395C22semidirect
179. C43×#395C22semidirect
180. C43×#391C22semidirect
181. C43×#391C22semidirect
182. C43×#389C22semidirect
183. C43×#389C22semidirect
250. (C22⋊D43)⋊C4D4semidirect
418. C22×C4×C43#41semidirect
533. C22⋊C4×C43#41semidirect
579. (C2×D43)⋊C4#41semidirect
851. #2549D43semidirect
936. #398C2×D43semidirect
937. #398C2×D43semidirect
946. #395C2×D43semidirect
947. #395C2×D43semidirect
963. #391C2×D43semidirect
964. #391C2×D43semidirect
974. #389C2×D43semidirect
975. #389C2×D43semidirect
1042. C43#34829semidirect
1357. C22×C4#10621902semidirect
1445. C22⋊C4#10621902semidirect

Maximal subgroups

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

subgroupindex
C2×#145834352
C2×#145834122
#191397462
#191397312
#191397162
#191397012
#191396822
#191396702
#191396582
#191396432
#191395552
#191395212
#191394872
#191389272
#191387282
#191381442
#191381292
#191378662
#191378592
#191378362
#191378132
#191371382
#191371142
#191371032
#191371012
#191370962
#191370842
#191370532
C4×(C22⋊D43)⋊C42
C2×#145827462
C43×#25492
#3482943