Finite Group Databasebeta

← #25269614

Subgroups — #25269614

Order 11008.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583498C211yesmaximal, characteristic, complemented
2C2×#14583489C211yesmaximal, characteristic, complemented
3#19142969C211yesmaximal, characteristic, complemented
4#19142963C211yesmaximal, characteristic, complemented
5#19142928C211yesmaximal, characteristic, complemented
6#19142899C211yesmaximal, characteristic, complemented
7#19140761C211yesmaximal, characteristic, complemented
8#19140750C211yesmaximal, characteristic, complemented
9#19140739C211yesmaximal, characteristic, complemented
10#19140728C211yesmaximal, characteristic, complemented
11#19139746C211yesmaximal, characteristic, complemented
12#19139731C211yesmaximal, characteristic, complemented
13#19139716C211yesmaximal, characteristic, complemented
14#19139701C211yesmaximal, characteristic, complemented
15#19139555C211yesmaximal, characteristic, complemented
16#19139521C211yesmaximal, characteristic, complemented
17#19139487C211yesmaximal, characteristic, complemented
18#19139301C211yesmaximal, characteristic, complemented
19#19139271C211yesmaximal, characteristic, complemented
20#19138927C211yesmaximal, characteristic, complemented
21#19138728C211yesmaximal, characteristic, complemented
22#19138604C211yesmaximal, characteristic, complemented
23#19138565C211yesmaximal, characteristic, complemented
24#19138144C211yesmaximal, characteristic, complemented
25#19138129C211yesmaximal, characteristic, complemented
26#19137263C211yesmaximal, characteristic, complemented
27#19137252C211yesmaximal, characteristic, complemented
28#19137101C211yesmaximal, characteristic, complemented
29C2×#14582788C211yesmaximal, characteristic, complemented
30C4×(C22⋊D43)⋊C4C211yesmaximal, characteristic, complemented
31C43×#2549C211yesmaximal, characteristic, complemented
32#14583498—28no—
33#14583489—28no—
34C2×#13063320C2211yescharacteristic
35C2×#13063320C2211yescharacteristic
36C2×#13063320C2211yescharacteristic, complemented
37C2×#13063320C2211yescharacteristic, complemented
38C2×#13063316C2211yescharacteristic, complemented
39C2×#13063316C2211yescharacteristic, complemented
40C2×#13063314C2211yescharacteristic
41C2×#13063314C2211yescharacteristic
42C2×#13063314C2211yescharacteristic
43C2×#13063310C2211yescharacteristic
44C2×#13063310C2211yescharacteristic
45C2×#13063310C2211yescharacteristic, complemented
46C2×#13063310C2211yescharacteristic, complemented
47C2×#13063309C2211yescharacteristic
48C2×#13063309C2211yescharacteristic
49C2×#13063309C2211yescharacteristic
50C2×#13063301C2211yescharacteristic, complemented
51C2×#13063301C2211yescharacteristic, complemented
52C2×#13063300C2211yescharacteristic
53C2×#13063300C2211yescharacteristic
54C2×#13063300C2211yescharacteristic
55C2×#13063299C2211yescharacteristic
56C2×#13063299C2211yescharacteristic
57C2×#13063299C2211yescharacteristic
58C2×#13063295C2211yescharacteristic
59C2×#13063295C2211yescharacteristic
60C2×#13063295C2211yescharacteristic
61C2×#13063287C2211yescharacteristic, complemented
62C2×C4×C22⋊D43C2211yescharacteristic
63C2×(C22⋊D43)⋊C4C2211yescharacteristic
64C2×(C22⋊D43)⋊C4C2211yescharacteristic
65C2×(C22⋊D43)⋊C4C2211yescharacteristic
66C2×(C22⋊D43)⋊C4C2211yescharacteristic
67C22×Dic43⋊C4C2211yescharacteristic
68C22×(C2×D43)⋊C4C2211yescharacteristic
69C22×(C2×D43)⋊C4C2211yescharacteristic
70C22×(C2×D43)⋊C4C2211yescharacteristic
71C22×C4×Dic43C2211yescharacteristic
72C2×C42×D43C2211yescharacteristic, complemented
73#14582838C2211yescharacteristic, complemented
74#14582838C2211yescharacteristic, complemented
75#14582836C2211yescharacteristic
76#14582836C2211yescharacteristic
77#14582831C2211yescharacteristic, complemented
78#14582831C2211yescharacteristic, complemented
79#14582826C2211yescharacteristic, complemented
80#14582826C2211yescharacteristic, complemented
81#14582825C2211yescharacteristic
82#14582825C2211yescharacteristic, complemented
83#14582821C2211yescharacteristic
84#14582821C2211yescharacteristic
85#14582821C2211yescharacteristic
86#14582821C2211yescharacteristic, complemented
87#14582817C2211yescharacteristic
88#14582817C2211yescharacteristic, complemented
89#14582816C2211yescharacteristic
90#14582816C2211yescharacteristic
91#14582816C2211yescharacteristic
92#14582816C2211yescharacteristic
93#14582816C2211yescharacteristic
94#14582816C2211yescharacteristic, complemented
95#14582810C2211yescharacteristic
96#14582810C2211yescharacteristic, complemented
97#14582809C2211yescharacteristic
98#14582809C2211yescharacteristic
99#14582809C2211yescharacteristic
100#14582809C2211yescharacteristic, complemented
101#14582806C2211yescharacteristic, complemented
102#14582801C2211yescharacteristic
103#14582801C2211yescharacteristic
104#14582801C2211yescharacteristic
105#14582801C2211yescharacteristic
106#14582800C2211yescharacteristic
107#14582800C2211yescharacteristic
108#14582800C2211yescharacteristic
109#14582800C2211yescharacteristic
110#14582800C2211yescharacteristic, complemented
111#14582798C2211yescharacteristic, complemented
112#14582795C2211yescharacteristic, complemented
113#14582795C2211yescharacteristic, complemented
114#14582795C2211yescharacteristic, complemented
115#14582791C2211yescharacteristic
116#14582791C2211yescharacteristic
117#14582791C2211yescharacteristic
118#14582791C2211yescharacteristic, complemented
119#14582791C2211yescharacteristic, complemented
120#14582791C2211yescharacteristic, complemented
121#14582789C2211yescharacteristic
122#14582789C2211yescharacteristic
123#14582789C2211yescharacteristic
124#14582789C2211yescharacteristic
125#14582789C2211yescharacteristic, complemented
126#14582789C2211yescharacteristic, complemented
127#14582788C2211yescharacteristic
128#14582788C2211yescharacteristic
129#14582788C2211yescharacteristic
130#14582788C2211yescharacteristic
131#14582788C2211yescharacteristic
132#14582788C2211yescharacteristic
133#14582788C2211yescharacteristic
134#14582788C2211yescharacteristic
135#14582788C2211yescharacteristic
136#14582788C2211yescharacteristic
137#14582788C2211yescharacteristic, complemented
138#14582788C2211yescharacteristic, complemented
139#14582788C2211yescharacteristic, complemented
140#14582788C2211yescharacteristic, complemented
141#14582782C2211yescharacteristic, complemented
142#14582782C2211yescharacteristic, complemented
143#14582778C2211yescharacteristic
144#14582778C2211yescharacteristic
145#14582777C2211yescharacteristic
146#14582777C2211yescharacteristic
147#14582777C2211yescharacteristic
148#14582777C2211yescharacteristic
149#14582777C2211yescharacteristic
150#14582777C2211yescharacteristic, complemented
151#14582777C2211yescharacteristic, complemented
152#14582777C2211yescharacteristic, complemented
153#14582776C2211yescharacteristic
154#14582776C2211yescharacteristic
155#14582770C2211yescharacteristic, complemented
156#14582770C2211yescharacteristic, complemented
157#14582764C2211yescharacteristic, complemented
158#14582760C2211yescharacteristic
159#14582756C2211yescharacteristic, complemented
160#14582754C2211yescharacteristic
161C4⋊C4×Dic43C2211yescharacteristic, complemented
162C4×Dic43⋊C4C2211yescharacteristic, complemented
163#14582750C2211yescharacteristic, complemented
164#14582750C2211yescharacteristic, complemented
165C22⋊C4×Dic43C2211yescharacteristic
166C22⋊C4×Dic43C2211yescharacteristic
167C4×(C2×D43)⋊C4C2211yescharacteristic, 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
190C22×D172C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×D172C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C23×Dic43C2311yescharacteristic
203C23×Dic43C2311yescharacteristic
204C23×Dic43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210#13063320—24no—
211#13063320—24no—
212#13063320—24no—
213#13063320—24no—
214#13063316—24no—
215#13063316—24no—
216#13063314—24no—
217#13063314—24no—
218#13063314—42no—
219#13063310—24no—
220#13063310—24no—
221#13063310—24no—
222#13063310—24no—
223#13063309—24no—
224#13063309—24no—
225#13063309—24no—
226#13063301—24no—
227#13063301—24no—
228#13063300—24no—
229#13063300—24no—
230#13063300—42no—
231#13063299—24no—
232#13063299—24no—
233#13063299—24no—
234#13063295—24no—
235#13063295—24no—
236#13063295—24no—
237#13063287—42no—
238C4×C22⋊D43—24no—
239(C22⋊D43)⋊C4—24no—
240(C22⋊D43)⋊C4—24no—
241(C22⋊D43)⋊C4—24no—
242(C22⋊D43)⋊C4D418yescomplemented
243C2×C4⋊Dic43C2311yescharacteristic
244C2×C4⋊Dic43C2311yescharacteristic
245C2×C4⋊Dic43C2311yescharacteristic
246C2×C4⋊Dic43C2311yescharacteristic
247C2×C4⋊Dic43C2311yescharacteristic
248C2×C4⋊Dic43C2311yescharacteristic
249C2×C4⋊Dic43C2311yescharacteristic
250C2×C4⋊Dic43C2311yescharacteristic
251C2×C4⋊Dic43C2311yescharacteristic
252C2×Dic43⋊C4—24no—
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C2×C22⋊Dic43C2311yescharacteristic
263C2×(C2×D43)⋊C4—24no—
264C2×(C2×D43)⋊C4—24no—
265C2×(C2×D43)⋊C4—42no—
266C2×(C2×D43)⋊C4C2311yescharacteristic
267C2×(C2×D43)⋊C4C2311yescharacteristic
268C2×(C2×D43)⋊C4C2311yescharacteristic
269C2×(C2×D43)⋊C4C2311yescharacteristic
270C2×(C2×D43)⋊C4C2311yescharacteristic
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×C4×Dic43—42no—
314C2×C4×Dic43C2311yescharacteristic
315C2×C4×Dic43C2311yescharacteristic
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
327C42×D43—42no—
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
348C22×Q8×C43C2311yescharacteristic
349C22×Q8×C43C2311yescharacteristic
350C23×C4×C43C2311yescharacteristic
351C23×C4×C43C2311yescharacteristic
352C23×C4×C43C2311yescharacteristic
353C22⋊Q8×C43—24no—
354C22⋊Q8×C43—24no—
355C2×C4⋊C4×C43C2311yescharacteristic
356C2×C4⋊C4×C43C2311yescharacteristic
357C2×C4⋊C4×C43C2311yescharacteristic
358C2×C4⋊C4×C43C2311yescharacteristic
359C2×C4⋊C4×C43C2311yescharacteristic
360C2×C4⋊C4×C43C2311yescharacteristic
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×C22⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×C43C2311yescharacteristic
370C2×C22⋊C4×C43C2311yescharacteristic
371C2×C42×C43C2311yescharacteristic
372C2×C42×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376#95×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385C24×C43C2411yescharacteristic
386C23×D43—22no—
387C23×D43—22no—
388C23×D43—22no—
389C23×D43—41no—
390C23×D43—41no—
391C23×D43—41no—
392C23×D43—41no—
393C23×D43C2411yescharacteristic
394C23×D43C2411yescharacteristic
395C23×D43C2411yescharacteristic
396C23×D43C2411yescharacteristic
397C23×D43C2411yescharacteristic
398C2×Q8×C43—22no—
399C2×Q8×C43—22no—
400C2×Q8×C43—41no—
401C2×Q8×C43—41no—
402C2×Q8×C43—41no—
403C2×Q8×C43—41no—
404C22×C4×C43—22no—
405C22×C4×C43—22no—
406C22×C4×C43—41no—
407C22×C4×C43—41no—
408C22×C4×C43—41no—
409C22×C4×C43—41no—
410C22×C4×C43—41no—
411C22×C4×C43—41no—
412C22×C4×C43#4114yes—
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C22×C4×C43C2411yescharacteristic
423C22×C4×C43C2411yescharacteristic
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C22×C4×C43C2411yescharacteristic
427C2×C22⋊D43—22no—
428C2×C22⋊D43—22no—
429C2×C22⋊D43—22no—
430C2×C22⋊D43—22no—
431C2×C22⋊D43—22no—
432C2×C22⋊D43—22no—
433C2×C22⋊D43—22no—
434C2×C22⋊D43—22no—
435C2×C22⋊D43C2×D414yes—
436C22×Dic43—22no—
437C22×Dic43—22no—
438C22×Dic43—22no—
439C22×Dic43—22no—
440C22×Dic43—22no—
441C22×Dic43—41no—
442C22×Dic43—41no—
443C22×Dic43—41no—
444C22×Dic43C2×D414yes—
445C22×Dic43C2411yescharacteristic
446C22×Dic43C2411yescharacteristic
447C22×Dic43C2411yescharacteristic
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C2×D172—22no—
457C2×D172—22no—
458C2×D172—22no—
459C2×D172—22no—
460C2×D172—22no—
461C2×D172—22no—
462C2×D172—22no—
463C2×D172—22no—
464C2×D172—22no—
465C2×D172—41no—
466C2×D172—41no—
467C2×D172—41no—
468C2×D172—41no—
469C2×D172—41no—
470C2×D172—41no—
471C2×D172—41no—
472C2×D172—41no—
473C2×D172—41no—
474C2×D172—41no—
475C2×D172—41no—
476C2×D172—41no—
477C2×D172—41no—
478C2×D172—41no—
479C2×D172—41no—
480C2×D172—41no—
481C2×D172—41no—
482C2×D172—41no—
483C2×C4×D43—22no—
484C2×C4×D43—22no—
485C2×C4×D43—22no—
486C2×C4×D43—22no—
487C2×C4×D43—22no—
488C2×C4×D43—41no—
489C2×C4×D43—41no—
490C2×C4×D43—41no—
491C2×C4×D43—41no—
492C2×C4×D43—41no—
493C2×C4×D43—41no—
494C2×C4×D43—41no—
495C2×C4×D43—41no—
496C2×C4×D43—41no—
497C2×C4×D43C2×D414yes—
498C4⋊C4×C43—22no—
499C4⋊C4×C43—22no—
500C4⋊C4×C43—22no—
501C4⋊C4×C43—22no—
502C4⋊C4×C43—22no—
503C4⋊C4×C43—22no—
504C4⋊C4×C43—41no—
505C4⋊C4×C43—41no—
506C4⋊C4×C43—41no—
507C4⋊C4×C43—41no—
508C4⋊C4×C43—41no—
509C4⋊C4×C43—41no—
510C22⋊C4×C43—22no—
511C22⋊C4×C43—22no—
512C22⋊C4×C43C2×D414yes—
513C22⋊C4×C43#4114yes—
514C42×C43—41no—
515C42×C43—41no—
516C22⋊Dic43—22no—
517(C2×D43)⋊C4—22no—
518(C2×D43)⋊C4—22no—
519(C2×D43)⋊C4—22no—
520(C2×D43)⋊C4—22no—
521(C2×D43)⋊C4—22no—
522(C2×D43)⋊C4—22no—
523(C2×D43)⋊C4—22no—
524(C2×D43)⋊C4—22no—
525(C2×D43)⋊C4—22no—
526(C2×D43)⋊C4—22no—
527(C2×D43)⋊C4—22no—
528(C2×D43)⋊C4—22no—
529(C2×D43)⋊C4—22no—
530(C2×D43)⋊C4—22no—
531(C2×D43)⋊C4—22no—
532(C2×D43)⋊C4—22no—
533(C2×D43)⋊C4—22no—
534(C2×D43)⋊C4—22no—
535(C2×D43)⋊C4—22no—
536(C2×D43)⋊C4—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—41no—
552(C2×D43)⋊C4—41no—
553(C2×D43)⋊C4—41no—
554(C2×D43)⋊C4—41no—
555(C2×D43)⋊C4—41no—
556(C2×D43)⋊C4—41no—
557(C2×D43)⋊C4—41no—
558(C2×D43)⋊C4—41no—
559(C2×D43)⋊C4—41no—
560(C2×D43)⋊C4—41no—
561(C2×D43)⋊C4—41no—
562(C2×D43)⋊C4—41no—
563(C2×D43)⋊C4C2×D414yes—
564C4⋊Dic43—22no—
565C4⋊Dic43—22no—
566C4⋊Dic43—22no—
567C4⋊Dic43—22no—
568C4⋊Dic43—22no—
569C4⋊Dic43—22no—
570C4⋊Dic43—22no—
571C4⋊Dic43—22no—
572C4⋊Dic43—22no—
573Dic43⋊C4—22no—
574Dic43⋊C4—22no—
575Dic43⋊C4—22no—
576Dic43⋊C4—22no—
577Dic43⋊C4—22no—
578Dic43⋊C4—22no—
579Dic43⋊C4—22no—
580Dic43⋊C4—22no—
581Dic43⋊C4C2×D414yes—
582C4×Dic43—22no—
583C4×Dic43—22no—
584C4×Dic43—22no—
585C4×Dic43—22no—
586C4×Dic43—22no—
587C4×Dic43—22no—
588C4×Dic43—22no—
589C4×Dic43—41no—
590C4×Dic43—41no—
591C4×Dic43—41no—
592C4×Dic43—41no—
593C4×Dic43—41no—
594C4×Dic43C2×D414yes—
595C23×C43—21no—
596C23×C43—21no—
597C23×C43—21no—
598C23×C43—21no—
599C23×C43C22×D412yes—
600C23×C43C2×#4112yes—
601C23×C43C2×#4112yes—
602C23×C43C2511yescharacteristic
603C22×D43—21no—
604C22×D43—21no—
605C22×D43—21no—
606C22×D43—21no—
607C22×D43—21no—
608C22×D43—21no—
609C22×D43—21no—
610C22×D43—21no—
611C22×D43—21no—
612C22×D43—21no—
613C22×D43—21no—
614C22×D43—21no—
615C22×D43—21no—
616C22×D43—21no—
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—21no—
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—44no—
638C22×D43—44no—
639C22×D43—44no—
640C22×D43—82no—
641C22×D43—82no—
642C22×D43—82no—
643C22×D43—82no—
644C22×D43C22×D412yes—
645Q8×C43—82no—
646Q8×C43—82no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
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—44no—
684C2×C4×C43—82no—
685C2×C4×C43—82no—
686C2×C4×C43C22×D412yes—
687C2×C4×C43C22×D412yes—
688C2×C4×C43C2×#4112yes—
689C2×C4×C43C2×#4112yes—
690C2×C4×C43C2×#4112yes—
691C2×C4×C43C2×#4112yes—
692C22⋊D43—28no—
693C22⋊D43—44no—
694C22⋊D43—44no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—44no—
725C2×Dic43—44no—
726C2×Dic43—44no—
727C2×Dic43C22×D412yes—
728C2×Dic43C22×D412yes—
729C2×Dic43C22×D412yes—
730C2×Dic43H(5,𝔽2)12yes—
731D172—44no—
732D172—82no—
733D172—82no—
734D172—82no—
735D172—82no—
736D172—82no—
737D172—82no—
738D172—82no—
739D172—82no—
740C4×D43—44no—
741C4×D43—44no—
742C4×D43—44no—
743C4×D43—82no—
744C4×D43—82no—
745#35009—431nomaximal, Sylow
746C22×C43—22no—
747C22×C43—22no—
748C22×C43—22no—
749C22×C43—22no—
750C22×C43—22no—
751C22×C43—22no—
752C22×C43#53214yes—
753C22×C43C23×D411yescharacteristic
754C22×C43C22×#4111yescharacteristic
755C22×C43C22×#4111yescharacteristic
756C22×C43C2×H(5,𝔽2)11yescharacteristic
757C22×C43#58511yescharacteristic
758C22×C43#58511yescharacteristic
759C22×C43#58511yescharacteristic
760C2×D43—22no—
761C2×D43—22no—
762C2×D43—22no—
763C2×D43—41no—
764C2×D43—41no—
765C2×D43—41no—
766C2×D43—41no—
767C2×D43—41no—
768C2×D43—41no—
769C2×D43—41no—
770C2×D43—41no—
771C2×D43—41no—
772C2×D43—41no—
773C2×D43—41no—
774C2×D43—41no—
775C2×D43—41no—
776C2×D43—41no—
777C2×D43—41no—
778C2×D43—41no—
779C2×D43—41no—
780C2×D43—41no—
781C2×D43—41no—
782C2×D43—41no—
783C2×D43—41no—
784C2×D43—41no—
785C2×D43—41no—
786C2×D43—41no—
787C2×D43—41no—
788C2×D43—41no—
789C2×D43—41no—
790C2×D43—41no—
791C2×D43—41no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—88no—
796C4×C43—22no—
797C4×C43—22no—
798C4×C43—22no—
799C4×C43—22no—
800C4×C43—22no—
801C4×C43—22no—
802C4×C43—41no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43—41no—
810Dic43—22no—
811Dic43—22no—
812Dic43—22no—
813Dic43—22no—
814Dic43—41no—
815Dic43—41no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821C2×#539—431no—
822C2×#538—431no—
823#2861—431no—
824#2860—431no—
825#2854—431no—
826#2850—431no—
827#2664—431no—
828#2663—431no—
829#2662—431no—
830#2661—431no—
831#2560—431no—
832#2559—431no—
833#2558—431no—
834#2557—431no—
835#2549D4311yescharacteristic, complemented
836#2543—431no—
837#2539—431no—
838#2534—431no—
839#2521—431no—
840#2519—431no—
841#2488—431no—
842#2472—431no—
843#2464—431no—
844#2461—431no—
845#2425—431no—
846#2424—431no—
847#2322—431no—
848#2321—431no—
849C4×#121—431no—
850C2×#388—431no—
851C42×D4—431no—
852C2×C43—24no—
853C2×C43C2×#53211yescharacteristic
854C2×C43#345511yescharacteristic
855C2×C43#345911yescharacteristic
856C2×C43#349611yescharacteristic
857C2×C43#350011yescharacteristic
858C2×C43#351311yescharacteristic
859C2×C43#352111yescharacteristic
860D43—42no—
861D43—81no—
862D43—81no—
863D43—81no—
864D43—81no—
865#539—868no—
866#538—868no—
867C2×#126—431no—
868C2×#126—431no—
869C2×#126—431no—
870C2×#126—431no—
871C2×#125—431no—
872C2×#125—431no—
873C2×#124—431no—
874C2×#124—431no—
875C2×#124—431no—
876C2×#123—431no—
877C2×#123—431no—
878C2×#123—431no—
879C2×#123—431no—
880C2×#123—431no—
881C2×#123—431no—
882C2×#123—431no—
883C2×C22⋊Q8—431no—
884C2×C22⋊Q8—431no—
885C2×C22⋊Q8C2×D4311yescharacteristic
886C2×C22⋊Q8C2×D4311yescharacteristic
887C2×#121—431no—
888C2×#121—431no—
889C2×#121—431no—
890C2×#121—431no—
891C2×#121—431no—
892C2×#121—431no—
893C2×#120—431no—
894C2×#120—431no—
895C2×#120—431no—
896C2×C4×D4—431no—
897C2×C4×D4—431no—
898C2×C4×D4—431no—
899C2×C4×D4—431no—
900C2×C4×D4—431no—
901C2×C4×D4—431no—
902C22×C4⋊C4—431no—
903C22×C22⋊C4—431no—
904C22×C22⋊C4—431no—
905C22×C22⋊C4—431no—
906C22×C42—431no—
907C22×C42—431no—
908#400—431no—
909#400—431no—
910#399—431no—
911#399—431no—
912#398—431no—
913#398—431no—
914#398C2×D4311yescharacteristic, complemented
915#398C2×D4311yescharacteristic, complemented
916#397—431no—
917#397—431no—
918#397—431no—
919#397—431no—
920#396—431no—
921#396—431no—
922#396—431no—
923#396—431no—
924#395C2×D4311yescharacteristic, complemented
925#395C2×D4311yescharacteristic, complemented
926#394—431no—
927#394—431no—
928#394—431no—
929#394—431no—
930#394—431no—
931#394—431no—
932#394—431no—
933#394—431no—
934#393—431no—
935#393—431no—
936#392—431no—
937#392—431no—
938#392—431no—
939#392—431no—
940#391—431no—
941#391C2×D4311yescharacteristic, complemented
942#391C2×D4311yescharacteristic, complemented
943#390—431no—
944#390—431no—
945#390—431no—
946#390—431no—
947#390—431no—
948#390—431no—
949#390—431no—
950#390—431no—
951#390—431no—
952#389—431no—
953#389—431no—
954#389—431no—
955#389—431no—
956#389C2×D4311yescharacteristic, complemented
957#389C2×D4311yescharacteristic, complemented
958#388—431no—
959#388—431no—
960#388—431no—
961#388—431no—
962#388—431no—
963#388—431no—
964#388—431no—
965#388—431no—
966#388—431no—
967#388—431no—
968#388—431no—
969#388—431no—
970#388—431no—
971#388—431no—
972#388—431no—
973#388—431no—
974#388—431no—
975#388—431no—
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#387—431no—
985#387—431no—
986#386—431no—
987#386—431no—
988#386—431no—
989#386—431no—
990#386—431no—
991#386—431no—
992#386—431no—
993#386—431no—
994#386—431no—
995#386—431no—
996#386—431no—
997#386—431no—
998#385—431no—
999#385—431no—
1000#385C2×D4311yescharacteristic
1001#385C2×D4311yescharacteristic
1002#382—431no—
1003#381—431no—
1004#380—431no—
1005#380C2×D4311yescharacteristic
1006#379—431no—
1007C4×C4⋊C4—431no—
1008C4×C4⋊C4—431no—
1009C4×C4⋊C4—431no—
1010C4×C4⋊C4—431no—
1011C4×C22⋊C4—431no—
1012C4×C22⋊C4—431no—
1013C4×C22⋊C4—431no—
1014C4×C22⋊C4—431no—
1015C4×C22⋊C4—431no—
1016C4×C22⋊C4—431no—
1017C4×C22⋊C4—431no—
1018C4×C22⋊C4C2×D4311yescharacteristic
1019C2×#95—431no—
1020C2×#95C2×D4311yescharacteristic
1021C43—431no—
1022C43#3500911yescharacteristic, complemented, Sylow
1023C25—431no—
1024C22×Q8C22×D4311yescharacteristic
1025C22×Q8C22×D4311yescharacteristic
1026C22×D4—431no—
1027C22×D4—431no—
1028C22×D4—431no—
1029C22×D4—431no—
1030C22×D4—431no—
1031C22×D4—431no—
1032C22×D4—431no—
1033C22×D4—431no—
1034C22×D4—431no—
1035C22×D4—431no—
1036C22×D4—431no—
1037C22×D4—431no—
1038C23×C4—431no—
1039C23×C4—431no—
1040C23×C4—431no—
1041C23×C4—431no—
1042C23×C4—431no—
1043C23×C4—431no—
1044C23×C4—431no—
1045C23×C4—431no—
1046C23×C4C22×D4311yescharacteristic
1047C23×C4C22×D4311yescharacteristic
1048C23×C4C22×D4311yescharacteristic
1049#126—864no—
1050#126—864no—
1051#126—864no—
1052#126—864no—
1053#125—864no—
1054#125—864no—
1055#124—864no—
1056#124—864no—
1057#124—1722no—
1058#123—864no—
1059#123—864no—
1060#123—864no—
1061#123—864no—
1062#123—864no—
1063#123—864no—
1064#123—864no—
1065C22⋊Q8—24no—
1066C22⋊Q8—24no—
1067C22⋊Q8—864no—
1068C22⋊Q8—864no—
1069#121—864no—
1070#121—864no—
1071#121—864no—
1072#121—864no—
1073#121—864no—
1074#121—1722no—
1075#120—864no—
1076#120—864no—
1077#120—864no—
1078C4×D4—438no—
1079C4×D4—864no—
1080C4×D4—864no—
1081C4×D4—864no—
1082C4×D4—864no—
1083C4×D4—1722no—
1084C2×C4⋊C4—431no—
1085C2×C4⋊C4—431no—
1086C2×C4⋊C4—431no—
1087C2×C4⋊C4—431no—
1088C2×C4⋊C4—431no—
1089C2×C4⋊C4—431no—
1090C2×C4⋊C4—431no—
1091C2×C4⋊C4—431no—
1092C2×C4⋊C4—431no—
1093C2×C4⋊C4—431no—
1094C2×C4⋊C4—431no—
1095C2×C4⋊C4—431no—
1096C2×C4⋊C4—431no—
1097C2×C4⋊C4—431no—
1098C2×C4⋊C4—431no—
1099C2×C4⋊C4—431no—
1100C2×C4⋊C4—431no—
1101C2×C4⋊C4—431no—
1102C2×C4⋊C4—864no—
1103C2×C4⋊C4C22×D4311yescharacteristic
1104C2×C4⋊C4C22×D4311yescharacteristic
1105C2×C4⋊C4C22×D4311yescharacteristic
1106C2×C4⋊C4C22×D4311yescharacteristic
1107C2×C4⋊C4C22×D4311yescharacteristic
1108C2×C4⋊C4C22×D4311yescharacteristic
1109C2×C4⋊C4C22×D4311yescharacteristic
1110C2×C4⋊C4C22×D4311yescharacteristic
1111C2×C4⋊C4C22×D4311yescharacteristic
1112C2×C4⋊C4C22×D4311yescharacteristic
1113C2×C4⋊C4C22×D4311yescharacteristic
1114C2×C4⋊C4C22×D4311yescharacteristic
1115C2×C22⋊C4—431no—
1116C2×C22⋊C4—431no—
1117C2×C22⋊C4—431no—
1118C2×C22⋊C4—431no—
1119C2×C22⋊C4—431no—
1120C2×C22⋊C4—431no—
1121C2×C22⋊C4—431no—
1122C2×C22⋊C4—431no—
1123C2×C22⋊C4—431no—
1124C2×C22⋊C4—431no—
1125C2×C22⋊C4—431no—
1126C2×C22⋊C4—431no—
1127C2×C22⋊C4—431no—
1128C2×C22⋊C4—431no—
1129C2×C22⋊C4—431no—
1130C2×C22⋊C4—431no—
1131C2×C22⋊C4—431no—
1132C2×C22⋊C4—431no—
1133C2×C22⋊C4—431no—
1134C2×C22⋊C4—431no—
1135C2×C22⋊C4—431no—
1136C2×C22⋊C4—431no—
1137C2×C22⋊C4—431no—
1138C2×C22⋊C4—431no—
1139C2×C22⋊C4—431no—
1140C2×C22⋊C4—431no—
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—864no—
1164C2×C22⋊C4—864no—
1165C2×C22⋊C4—1722no—
1166C2×C22⋊C4C22×D4311yescharacteristic
1167C2×C22⋊C4C22×D4311yescharacteristic
1168C2×C22⋊C4C22×D4311yescharacteristic
1169C2×C22⋊C4C22×D4311yescharacteristic
1170C2×C42—431no—
1171C2×C42—431no—
1172C2×C42—431no—
1173C2×C42—431no—
1174C2×C42—431no—
1175C2×C42—431no—
1176C2×C42—431no—
1177C2×C42—431no—
1178C2×C42—431no—
1179C2×C42—431no—
1180C2×C42—431no—
1181C2×C42—431no—
1182C2×C42—431no—
1183C2×C42—1722no—
1184C2×C42—1722no—
1185C2×C42C22×D4311yescharacteristic
1186C2×C42C22×D4311yescharacteristic
1187#95—431no—
1188#95—431no—
1189#95—431no—
1190#95—431no—
1191#95—431no—
1192#95—431no—
1193#95—431no—
1194#95—431no—
1195#95—431no—
1196#95—431no—
1197#95—431no—
1198#95—431no—
1199#95—431no—
1200#95—431no—
1201#95—431no—
1202#95—431no—
1203#95—431no—
1204#95—431no—
1205#95—431no—
1206#95—431no—
1207#95C22×D4311yescharacteristic
1208#95C22×D4311yescharacteristic
1209#95C22×D4311yescharacteristic
1210#95C22×D4311yescharacteristic
1211#95C22×D4311yescharacteristic
1212#95C22×D4311yescharacteristic
1213#95C22×D4311yescharacteristic
1214#95C22×D4311yescharacteristic
1215#95C22×D4311yescharacteristic
1216#95C22×D4311yescharacteristic
1217#95C22×D4311yescharacteristic
1218#95C22×D4311yescharacteristic
1219C24—431no—
1220C24—431no—
1221C24—431no—
1222C24—431no—
1223C24—431no—
1224C24—862no—
1225C24—862no—
1226C24—862no—
1227C24—1721no—
1228C24—1721no—
1229C24—1721no—
1230C24—1721no—
1231C24C23×D4311yescharacteristic
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—41no—
1235C2×Q8—41no—
1236C2×Q8—41no—
1237C2×Q8—41no—
1238C2×D4—434no—
1239C2×D4—862no—
1240C2×D4—862no—
1241C2×D4—862no—
1242C2×D4—862no—
1243C2×D4—862no—
1244C2×D4—862no—
1245C2×D4—862no—
1246C2×D4—862no—
1247C2×D4—862no—
1248C2×D4—862no—
1249C2×D4—862no—
1250C2×D4—862no—
1251C2×D4—862no—
1252C2×D4—862no—
1253C2×D4—862no—
1254C2×D4—862no—
1255C2×D4—862no—
1256C2×D4—1721no—
1257C2×D4—1721no—
1258C2×D4—1721no—
1259C2×D4—1721no—
1260C2×D4—1721no—
1261C2×D4—1721no—
1262C2×D4—1721no—
1263C2×D4—1721no—
1264C2×D4—1721no—
1265C2×D4—1721no—
1266C2×D4—1721no—
1267C2×D4—1721no—
1268C2×D4—1721no—
1269C2×D4—1721no—
1270C2×D4—1721no—
1271C2×D4—1721no—
1272C2×D4—1721no—
1273C2×D4—1721no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—431no—
1283C22×C4—431no—
1284C22×C4—431no—
1285C22×C4—431no—
1286C22×C4—434no—
1287C22×C4—434no—
1288C22×C4—431no—
1289C22×C4—431no—
1290C22×C4—431no—
1291C22×C4—431no—
1292C22×C4—431no—
1293C22×C4—431no—
1294C22×C4—431no—
1295C22×C4—862no—
1296C22×C4—862no—
1297C22×C4—862no—
1298C22×C4—862no—
1299C22×C4—862no—
1300C22×C4—862no—
1301C22×C4—862no—
1302C22×C4—862no—
1303C22×C4—862no—
1304C22×C4—862no—
1305C22×C4—1721no—
1306C22×C4—1721no—
1307C22×C4—1721no—
1308C22×C4—1721no—
1309C22×C4—1721no—
1310C22×C4—1721no—
1311C22×C4—1721no—
1312C22×C4—1721no—
1313C22×C4—1721no—
1314C22×C4—1721no—
1315C22×C4—1721no—
1316C22×C4—1721no—
1317C22×C4#1062190214yes—
1318C22×C4C23×D4311yescharacteristic
1319C22×C4C23×D4311yescharacteristic
1320C22×C4C23×D4311yescharacteristic
1321C22×C4C23×D4311yescharacteristic
1322C22×C4C23×D4311yescharacteristic
1323C22×C4C23×D4311yescharacteristic
1324C22×C4C23×D4311yescharacteristic
1325C22×C4C23×D4311yescharacteristic
1326C22×C4C23×D4311yescharacteristic
1327C22×C4C23×D4311yescharacteristic
1328C22×C4C23×D4311yescharacteristic
1329C22×C4C23×D4311yescharacteristic
1330C22×C4C23×D4311yescharacteristic
1331C22×C4C23×D4311yescharacteristic
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—434no—
1345C4⋊C4—862no—
1346C4⋊C4—862no—
1347C4⋊C4—862no—
1348C4⋊C4—862no—
1349C4⋊C4—862no—
1350C4⋊C4—862no—
1351C4⋊C4—862no—
1352C4⋊C4—862no—
1353C4⋊C4—862no—
1354C4⋊C4—862no—
1355C4⋊C4—862no—
1356C4⋊C4—862no—
1357C4⋊C4—862no—
1358C4⋊C4—862no—
1359C4⋊C4—862no—
1360C4⋊C4—862no—
1361C4⋊C4—862no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—434no—
1365C22⋊C4—862no—
1366C22⋊C4—862no—
1367C22⋊C4—862no—
1368C22⋊C4—862no—
1369C22⋊C4—862no—
1370C22⋊C4—862no—
1371C22⋊C4—862no—
1372C22⋊C4—862no—
1373C22⋊C4—862no—
1374C22⋊C4—862no—
1375C22⋊C4—862no—
1376C22⋊C4—862no—
1377C22⋊C4—862no—
1378C22⋊C4—862no—
1379C22⋊C4—862no—
1380C22⋊C4—862no—
1381C22⋊C4—862no—
1382C22⋊C4—862no—
1383C22⋊C4—862no—
1384C22⋊C4—862no—
1385C22⋊C4—862no—
1386C22⋊C4—862no—
1387C22⋊C4—862no—
1388C22⋊C4—862no—
1389C22⋊C4—862no—
1390C22⋊C4—862no—
1391C22⋊C4—862no—
1392C22⋊C4—862no—
1393C22⋊C4—862no—
1394C22⋊C4—862no—
1395C22⋊C4—862no—
1396C22⋊C4—862no—
1397C22⋊C4—862no—
1398C22⋊C4—862no—
1399C22⋊C4—862no—
1400C22⋊C4—1721no—
1401C22⋊C4—1721no—
1402C22⋊C4—1721no—
1403C22⋊C4—1721no—
1404C22⋊C4—1721no—
1405C22⋊C4—1721no—
1406C22⋊C4—1721no—
1407C22⋊C4—1721no—
1408C22⋊C4—1721no—
1409C22⋊C4—1721no—
1410C22⋊C4—1721no—
1411C22⋊C4—1721no—
1412C22⋊C4D4×D4314yes—
1413C22⋊C4#1062190214yes—
1414C42—41no—
1415C42—41no—
1416C42—434no—
1417C42—862no—
1418C42—862no—
1419C42—862no—
1420C42—862no—
1421C42—862no—
1422C42—862no—
1423C42—862no—
1424C42—1721no—
1425C42—1721no—
1426C42—1721no—
1427C42—1721no—
1428C42—1721no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—432no—
1434C23—861no—
1435C23—861no—
1436C23—861no—
1437C23—861no—
1438C23—861no—
1439C23—861no—
1440C23—861no—
1441C23—861no—
1442C23—861no—
1443C23—861no—
1444C23—861no—
1445C23—861no—
1446C23—861no—
1447C23—861no—
1448C23—861no—
1449C23—861no—
1450C23—861no—
1451C23—861no—
1452C23—861no—
1453C23—861no—
1454C23—861no—
1455C23—861no—
1456C23—861no—
1457C23—861no—
1458C23—861no—
1459C23—861no—
1460C23—861no—
1461C23—861no—
1462C23—861no—
1463C23—861no—
1464C23—861no—
1465C23—861no—
1466C23—861no—
1467C23—861no—
1468C23—3442no—
1469C23—3442no—
1470C23—3442no—
1471C23—3442no—
1472C23—1724no—
1473C23—1724no—
1474C23—1724no—
1475C23C2×D4×D4312yes—
1476C23C2×#1062190212yes—
1477C23C2×#1062190212yes—
1478C23C24×D4311yescharacteristic
1479Q8—82no—
1480Q8—82no—
1481D4—868no—
1482D4—3442no—
1483D4—3442no—
1484D4—3442no—
1485D4—3442no—
1486D4—3442no—
1487D4—3442no—
1488D4—3442no—
1489D4—3442no—
1490D4—1724no—
1491D4—1724no—
1492D4—1724no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—44no—
1530C2×C4—82no—
1531C2×C4—82no—
1532C2×C4—432no—
1533C2×C4—432no—
1534C2×C4—432no—
1535C2×C4—432no—
1536C2×C4—861no—
1537C2×C4—861no—
1538C2×C4—861no—
1539C2×C4—861no—
1540C2×C4—861no—
1541C2×C4—861no—
1542C2×C4—861no—
1543C2×C4—861no—
1544C2×C4—861no—
1545C2×C4—861no—
1546C2×C4—861no—
1547C2×C4—861no—
1548C2×C4—861no—
1549C2×C4—861no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—861no—
1557C2×C4—861no—
1558C2×C4—861no—
1559C2×C4—861no—
1560C2×C4—861no—
1561C2×C4—861no—
1562C2×C4—861no—
1563C2×C4—861no—
1564C2×C4—861no—
1565C2×C4—3442no—
1566C2×C4—3442no—
1567C2×C4—1724no—
1568C2×C4—1724no—
1569C2×C4—1724no—
1570C2×C4—1724no—
1571C2×C4—1724no—
1572C2×C4—1724no—
1573C2×C4C2×D4×D4312yes—
1574C2×C4C2×D4×D4312yes—
1575C2×C4C2×#1062190212yes—
1576C2×C4C2×#1062190212yes—
1577C2×C4C2×#1062190212yes—
1578C2×C4C2×#1062190212yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—862no—
1586C22—862no—
1587C22—862no—
1588C22—3448no—
1589C22—1721no—
1590C22—1721no—
1591C22—1721no—
1592C22—1721no—
1593C22—1721no—
1594C22—1721no—
1595C22—1721no—
1596C22—1721no—
1597C22—1721no—
1598C22—1721no—
1599C22—1721no—
1600C22—1721no—
1601C22—1721no—
1602C22—1721no—
1603C22—1721no—
1604C22—1721no—
1605C22—1721no—
1606C22—1721no—
1607C22—1721no—
1608C22—1721no—
1609C22—1721no—
1610C22—1721no—
1611C22—1721no—
1612C22—1721no—
1613C22—1721no—
1614C22—1721no—
1615C22—1721no—
1616C22—1721no—
1617C22—1721no—
1618C22—1721no—
1619C22—1721no—
1620C22—1721no—
1621C22#1458345014yes—
1622C22C22×D4×D4311yescharacteristic
1623C22C22×#1062190211yescharacteristic
1624C22C22×#1062190211yescharacteristic
1625C22H(5,𝔽2)×D4311yescharacteristic
1626C22#1458373411yescharacteristic
1627C22#1458373511yescharacteristic
1628C22#1458373511yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—862no—
1644C4—862no—
1645C4—862no—
1646C4—862no—
1647C4—1721no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C2—24no—
1655C2—3441no—
1656C2—3441no—
1657C2—3441no—
1658C2—3441no—
1659C2—1722no—
1660C2C2×#1458345011yescharacteristic
1661C2#1914798711yescharacteristic
1662C2#1914800711yescharacteristic
1663C2#1914835511yescharacteristic
1664C2#1914838111yescharacteristic
1665C2#1914853811yescharacteristic
1666C2#1914866611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2549C2
hypercenter#2549D43
hypocenterC43#35009
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2549

Complements

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

NH ≅ G/Ntype
1. C2×#14583498C2semidirect
2. C2×#14583489C2semidirect
3. #19142969C2semidirect
4. #19142963C2semidirect
5. #19142928C2semidirect
6. #19142899C2semidirect
7. #19140761C2semidirect
8. #19140750C2semidirect
9. #19140739C2semidirect
10. #19140728C2semidirect
11. #19139746C2semidirect
12. #19139731C2semidirect
13. #19139716C2semidirect
14. #19139701C2semidirect
15. #19139555C2semidirect
16. #19139521C2semidirect
17. #19139487C2semidirect
18. #19139301C2semidirect
19. #19139271C2semidirect
20. #19138927C2semidirect
21. #19138728C2semidirect
22. #19138604C2semidirect
23. #19138565C2semidirect
24. #19138144C2semidirect
25. #19138129C2semidirect
26. #19137263C2semidirect
27. #19137252C2semidirect
28. #19137101C2semidirect
29. C2×#14582788C2semidirect
30. C4×(C22⋊D43)⋊C4C2semidirect
31. C43×#2549C2semidirect
36. C2×#13063320C22semidirect
37. C2×#13063320C22semidirect
38. C2×#13063316C22semidirect
39. C2×#13063316C22semidirect
45. C2×#13063310C22semidirect
46. C2×#13063310C22semidirect
50. C2×#13063301C22semidirect
51. C2×#13063301C22semidirect
61. C2×#13063287C22semidirect
72. C2×C42×D43C22semidirect
73. #14582838C22semidirect
74. #14582838C22semidirect
77. #14582831C22semidirect
78. #14582831C22semidirect
79. #14582826C22semidirect
80. #14582826C22semidirect
82. #14582825C22semidirect
86. #14582821C22semidirect
88. #14582817C22semidirect
94. #14582816C22semidirect
96. #14582810C22semidirect
100. #14582809C22semidirect
101. #14582806C22semidirect
110. #14582800C22semidirect
111. #14582798C22semidirect
112. #14582795C22semidirect
113. #14582795C22semidirect
114. #14582795C22semidirect
118. #14582791C22semidirect
119. #14582791C22semidirect
120. #14582791C22semidirect
125. #14582789C22semidirect
126. #14582789C22semidirect
137. #14582788C22semidirect
138. #14582788C22semidirect
139. #14582788C22semidirect
140. #14582788C22semidirect
141. #14582782C22semidirect
142. #14582782C22semidirect
150. #14582777C22semidirect
151. #14582777C22semidirect
152. #14582777C22semidirect
155. #14582770C22semidirect
156. #14582770C22semidirect
157. #14582764C22semidirect
159. #14582756C22semidirect
161. C4⋊C4×Dic43C22semidirect
162. C4×Dic43⋊C4C22semidirect
163. #14582750C22semidirect
164. #14582750C22semidirect
167. C4×(C2×D43)⋊C4C22semidirect
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
242. (C22⋊D43)⋊C4D4semidirect
835. #2549D43semidirect
914. #398C2×D43semidirect
915. #398C2×D43semidirect
924. #395C2×D43semidirect
925. #395C2×D43semidirect
941. #391C2×D43semidirect
942. #391C2×D43semidirect
956. #389C2×D43semidirect
957. #389C2×D43semidirect
1022. C43#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#145834982
C2×#145834892
#191429692
#191429632
#191429282
#191428992
#191407612
#191407502
#191407392
#191407282
#191397462
#191397312
#191397162
#191397012
#191395552
#191395212
#191394872
#191393012
#191392712
#191389272
#191387282
#191386042
#191385652
#191381442
#191381292
#191372632
#191372522
#191371012
C2×#145827882
C4×(C22⋊D43)⋊C42
C43×#25492
#3500943