Finite Group Databasebeta

← #25265281

Subgroups — #25265281

Order 11008.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583412C211yesmaximal, characteristic, complemented
2C2×C4×#10621900C211yesmaximal, characteristic, complemented
3#19138799C211yesmaximal, characteristic, complemented
4#19138784C211yesmaximal, characteristic, complemented
5#19138709C211yesmaximal, characteristic, complemented
6#19138694C211yesmaximal, characteristic, complemented
7#19138623C211yesmaximal, characteristic, complemented
8#19138608C211yesmaximal, characteristic, complemented
9#19138524C211yesmaximal, characteristic, complemented
10#19138509C211yesmaximal, characteristic, complemented
11#19138345C211yesmaximal, characteristic, complemented
12#19138267C211yesmaximal, characteristic, complemented
13#19138203C211yesmaximal, characteristic, complemented
14#19138125C211yesmaximal, characteristic, complemented
15#19138059C211yesmaximal, characteristic, complemented
16#19137978C211yesmaximal, characteristic, complemented
17#19137913C211yesmaximal, characteristic, complemented
18#19137884C211yesmaximal, characteristic, complemented
19#19137872C211yesmaximal, characteristic, complemented
20#19137840C211yesmaximal, characteristic, complemented
21#19137812C211yesmaximal, characteristic, complemented
22#19137116C211yesmaximal, characteristic, complemented
23#19137114C211yesmaximal, characteristic, complemented
24#19137105C211yesmaximal, characteristic, complemented
25#19137101C211yesmaximal, characteristic, complemented
26#19137100C211yesmaximal, characteristic, complemented
27#19137084C211yesmaximal, characteristic, complemented
28#19137031C211yesmaximal, characteristic, complemented
29#19137031C211yesmaximal, characteristic, complemented
30C2×#14582746C211yesmaximal, characteristic, complemented
31C43×#2450C211yesmaximal, characteristic, complemented
32C22×#10621902C2211yescharacteristic
33C22×#10621900C2211yescharacteristic
34C23×C4×D43C2211yescharacteristic
35#14583412—28no—
36C2×#13063310C2211yescharacteristic
37C2×#13063310C2211yescharacteristic
38C2×#13063310C2211yescharacteristic
39C2×#13063309C2211yescharacteristic
40C2×#13063301C2211yescharacteristic
41C2×#13063300C2211yescharacteristic
42C2×#13063299C2211yescharacteristic
43C2×#13063299C2211yescharacteristic
44C2×#13063297C2211yescharacteristic
45C2×#13063295C2211yescharacteristic
46C2×#13063295C2211yescharacteristic
47C2×#13063293C2211yescharacteristic
48C4×#10621900—28no—
49C2×C4×Dic86C2211yescharacteristic, complemented
50C2×#13063290C2211yescharacteristic, complemented
51C2×D4×Dic43C2211yescharacteristic
52C2×#13063287C2211yescharacteristic
53C2×#13063287C2211yescharacteristic
54C2×C4×C22⋊D43C2211yescharacteristic
55C2×C4×C22⋊D43C2211yescharacteristic, complemented
56C2×(C22⋊D43)⋊C4C2211yescharacteristic
57C2×(C22⋊D43)⋊C4C2211yescharacteristic
58C2×(C22⋊D43)⋊C4C2211yescharacteristic
59C2×(C22⋊D43)⋊C4C2211yescharacteristic
60C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
61C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
62C2×#13063283C2211yescharacteristic
63C2×#13063283C2211yescharacteristic, complemented
64C2×#13063283C2211yescharacteristic, complemented
65C2×#13063281C2211yescharacteristic
66C2×#13063281C2211yescharacteristic, complemented
67C22×(C2×D43)⋊C4C2211yescharacteristic
68C22×(C2×D43)⋊C4C2211yescharacteristic
69C22×C4×Dic43C2211yescharacteristic
70C22×C4×Dic43C2211yescharacteristic
71C22×C4×Dic43C2211yescharacteristic, complemented
72C2×C42×D43C2211yescharacteristic, complemented
73#14582841C2211yescharacteristic, complemented
74#14582837C2211yescharacteristic, complemented
75#14582834C2211yescharacteristic
76#14582832C2211yescharacteristic, complemented
77#14582832C2211yescharacteristic, complemented
78#14582828C2211yescharacteristic
79#14582828C2211yescharacteristic, complemented
80#14582828C2211yescharacteristic, complemented
81#14582821C2211yescharacteristic
82#14582821C2211yescharacteristic
83#14582821C2211yescharacteristic
84#14582820C2211yescharacteristic, complemented
85#14582818C2211yescharacteristic, complemented
86#14582817C2211yescharacteristic
87#14582817C2211yescharacteristic
88#14582817C2211yescharacteristic
89#14582817C2211yescharacteristic, complemented
90#14582816C2211yescharacteristic
91#14582816C2211yescharacteristic
92#14582815C2211yescharacteristic
93#14582815C2211yescharacteristic, complemented
94#14582812C2211yescharacteristic
95#14582812C2211yescharacteristic
96#14582812C2211yescharacteristic, complemented
97#14582808C2211yescharacteristic
98#14582808C2211yescharacteristic
99#14582808C2211yescharacteristic
100#14582808C2211yescharacteristic, complemented
101#14582806C2211yescharacteristic, complemented
102#14582801C2211yescharacteristic
103#14582800C2211yescharacteristic
104#14582800C2211yescharacteristic
105#14582799C2211yescharacteristic, complemented
106#14582796C2211yescharacteristic, complemented
107#14582795C2211yescharacteristic, complemented
108#14582791C2211yescharacteristic
109#14582791C2211yescharacteristic
110#14582791C2211yescharacteristic, complemented
111#14582791C2211yescharacteristic, complemented
112#14582790C2211yescharacteristic
113#14582789C2211yescharacteristic
114#14582789C2211yescharacteristic, complemented
115#14582789C2211yescharacteristic, complemented
116#14582789C2211yescharacteristic, complemented
117#14582788C2211yescharacteristic
118#14582788C2211yescharacteristic, complemented
119#14582787C2211yescharacteristic, complemented
120#14582786C2211yescharacteristic, complemented
121#14582786C2211yescharacteristic, complemented
122#14582782C2211yescharacteristic, complemented
123#14582782C2211yescharacteristic, complemented
124#14582780C2211yescharacteristic, complemented
125#14582780C2211yescharacteristic, complemented
126#14582780C2211yescharacteristic, complemented
127#14582778C2211yescharacteristic
128#14582778C2211yescharacteristic
129#14582778C2211yescharacteristic
130#14582778C2211yescharacteristic
131#14582777C2211yescharacteristic
132#14582777C2211yescharacteristic
133#14582777C2211yescharacteristic
134#14582777C2211yescharacteristic, complemented
135#14582777C2211yescharacteristic, complemented
136#14582776C2211yescharacteristic
137#14582776C2211yescharacteristic
138#14582776C2211yescharacteristic
139#14582776C2211yescharacteristic, complemented
140#14582775C2211yescharacteristic
141#14582775C2211yescharacteristic
142#14582774C2211yescharacteristic
143#14582774C2211yescharacteristic, complemented
144#14582773C2211yescharacteristic
145#14582773C2211yescharacteristic
146#14582773C2211yescharacteristic, complemented
147#14582772C2211yescharacteristic
148#14582761C2211yescharacteristic, complemented
149#14582760C2211yescharacteristic
150#14582757C2211yescharacteristic
151#14582754C2211yescharacteristic
152C4⋊C4×Dic43C2211yescharacteristic, complemented
153C4⋊C4×Dic43C2211yescharacteristic, complemented
154C4⋊C4×Dic43C2211yescharacteristic, complemented
155#14582750C2211yescharacteristic, complemented
156C22⋊C4×Dic43C2211yescharacteristic
157C22⋊C4×Dic43C2211yescharacteristic, complemented
158#14582746C2211yescharacteristic
159#14582746C2211yescharacteristic
160#14582746C2211yescharacteristic
161#14582746C2211yescharacteristic
162#14582746C2211yescharacteristic
163#14582746C2211yescharacteristic
164#14582746C2211yescharacteristic
165#14582746C2211yescharacteristic
166#14582746C2211yescharacteristic
167#14582746C2211yescharacteristic
168#14582746C2211yescharacteristic, complemented
169#14582746C2211yescharacteristic, complemented
170#14582746C2211yescharacteristic, complemented
171#14582746C2211yescharacteristic, complemented
172#14582744C2211yescharacteristic, complemented
173C2×C43⋊#95C2211yescharacteristic
174C2×C22⋊Q8×C43C2211yescharacteristic
175C2×C4×D4×C43C2211yescharacteristic
176C43×#400C2211yescharacteristic, complemented
177C43×#398C2211yescharacteristic, complemented
178C43×#396C2211yescharacteristic, complemented
179C43×#393C2211yescharacteristic, complemented
180C43×#391C2211yescharacteristic, complemented
181C43×#387C2211yescharacteristic, complemented
182C43×#386C2211yescharacteristic
183C43×#386C2211yescharacteristic
184C43×#385C2211yescharacteristic
185C43×#385C2211yescharacteristic
186C43×#385C2211yescharacteristic, complemented
187C43×#380C2211yescharacteristic, complemented
188C2×#95×C43C2211yescharacteristic
189C24×D43C2311yescharacteristic
190C2×#10621902—24no—
191C2×#10621902—24no—
192C2×#10621902—42no—
193C2×#10621900—24no—
194C2×#10621900—24no—
195C2×#10621900—24no—
196C22×Dic86C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×D172C2311yescharacteristic
201C22×D172C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C22×C22⋊D43C2311yescharacteristic
207C22×C22⋊D43C2311yescharacteristic
208C23×Dic43C2311yescharacteristic
209C23×Dic43C2311yescharacteristic
210C23×Dic43C2311yescharacteristic
211C23×Dic43C2311yescharacteristic
212C23×Dic43C2311yescharacteristic
213C22×C4×D43—24no—
214C22×C4×D43—24no—
215C22×C4×D43—42no—
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224#13063310—24no—
225#13063310—24no—
226#13063310—24no—
227#13063309—24no—
228#13063301—24no—
229#13063300—24no—
230#13063299—24no—
231#13063299—24no—
232#13063297—24no—
233#13063295—24no—
234#13063295—24no—
235#13063293—24no—
236C4×Dic86—24no—
237#13063290—24no—
238D4×Dic43—24no—
239#13063287—24no—
240#13063287—24no—
241C4×C22⋊D43—24no—
242C4×C22⋊D43—24no—
243(C22⋊D43)⋊C4—24no—
244(C22⋊D43)⋊C4—24no—
245(C22⋊D43)⋊C4—24no—
246(C22⋊D43)⋊C4—42no—
247(C22⋊D43)⋊C4—42no—
248(C22⋊D43)⋊C4D418yescomplemented
249#13063283—24no—
250#13063283—24no—
251#13063283—42no—
252#13063281—24no—
253#13063281—24no—
254C2×C4⋊Dic43C2311yescharacteristic
255C2×C4⋊Dic43C2311yescharacteristic
256C2×C4⋊Dic43C2311yescharacteristic
257C2×C4⋊Dic43C2311yescharacteristic
258C2×C4⋊Dic43C2311yescharacteristic
259C2×C4⋊Dic43C2311yescharacteristic
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×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×(C2×D43)⋊C4—24no—
275C2×(C2×D43)⋊C4—24no—
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×C4×Dic43—24no—
311C2×C4×Dic43—24no—
312C2×C4×Dic43—42no—
313C2×C4×Dic43C2311yescharacteristic
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
327C2×C4×Dic43C2311yescharacteristic
328C2×C4×Dic43C2311yescharacteristic
329C42×D43—24no—
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
354C22×Q8×C43C2311yescharacteristic
355C22×D4×C43C2311yescharacteristic
356C23×C4×C43C2311yescharacteristic
357C23×C4×C43C2311yescharacteristic
358C23×C4×C43C2311yescharacteristic
359C23×C4×C43C2311yescharacteristic
360C22⋊Q8×C43—24no—
361C4×D4×C43—24no—
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×C22⋊C4×C43C2311yescharacteristic
371C2×C22⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×C22⋊C4×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
392C24×C43C2411yescharacteristic
393C23×D43—22no—
394C23×D43—22no—
395C23×D43—22no—
396C23×D43—22no—
397C23×D43—22no—
398C23×D43—41no—
399C23×D43—41no—
400C23×D43C2411yescharacteristic
401C23×D43C2411yescharacteristic
402C23×D43C2411yescharacteristic
403C23×D43C2411yescharacteristic
404C2×Q8×C43—22no—
405C2×Q8×C43—22no—
406C2×Q8×C43—41no—
407C2×D4×C43—22no—
408C2×D4×C43—22no—
409C2×D4×C43#4114yescomplemented
410C22×C4×C43—22no—
411C22×C4×C43—22no—
412C22×C4×C43—22no—
413C22×C4×C43—22no—
414C22×C4×C43—22no—
415C22×C4×C43—22no—
416C22×C4×C43—22no—
417C22×C4×C43—41no—
418C22×C4×C43—41no—
419C22×C4×C43—41no—
420C22×C4×C43—41no—
421C22×C4×C43—41no—
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
433C22×C4×C43C2411yescharacteristic
434C22×C4×C43C2411yescharacteristic
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⋊D43—22no—
442C2×C22⋊D43—22no—
443C2×C22⋊D43—22no—
444C2×C22⋊D43—22no—
445C2×C22⋊D43—22no—
446C2×C22⋊D43—22no—
447C2×C22⋊D43—22no—
448C2×C22⋊D43—22no—
449C2×C22⋊D43—41no—
450C2×C22⋊D43—41no—
451C2×C22⋊D43—41no—
452C2×C22⋊D43C2×D414yes—
453C22×Dic43—22no—
454C22×Dic43—22no—
455C22×Dic43—22no—
456C22×Dic43—22no—
457C22×Dic43—22no—
458C22×Dic43—22no—
459C22×Dic43—22no—
460C22×Dic43—22no—
461C22×Dic43—22no—
462C22×Dic43—22no—
463C22×Dic43—22no—
464C22×Dic43—22no—
465C22×Dic43—41no—
466C22×Dic43C2×D414yes—
467C22×Dic43#4114yescomplemented
468C22×Dic43C2411yescharacteristic
469C22×Dic43C2411yescharacteristic
470C22×Dic43C2411yescharacteristic
471C22×Dic43C2411yescharacteristic
472C22×Dic43C2411yescharacteristic
473C22×Dic43C2411yescharacteristic
474C22×Dic43C2411yescharacteristic
475C22×Dic43C2411yescharacteristic
476C22×Dic43C2411yescharacteristic
477C22×Dic43C2411yescharacteristic
478C22×Dic43C2411yescharacteristic
479C22×Dic43C2411yescharacteristic
480#10621902—416no—
481#10621900—232no—
482C2×D172—22no—
483C2×D172—22no—
484C2×D172—22no—
485C2×D172—22no—
486C2×D172—22no—
487C2×D172—22no—
488C2×D172—22no—
489C2×D172—22no—
490C2×D172—22no—
491C2×D172—22no—
492C2×D172—41no—
493C2×D172—41no—
494C2×D172—41no—
495C2×D172—41no—
496C2×D172—41no—
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—22no—
511C2×C4×D43—22no—
512C2×C4×D43—22no—
513C2×C4×D43—22no—
514C2×C4×D43—22no—
515C2×C4×D43—22no—
516C2×C4×D43—41no—
517C2×C4×D43—41no—
518C2×C4×D43—41no—
519C2×C4×D43—416no—
520C2×C4×D43C2×D414yes—
521C2×C4×D43#4114yescomplemented
522C2×Dic86—22no—
523C2×Dic86—22no—
524C2×Dic86—22no—
525C4⋊C4×C43—22no—
526C4⋊C4×C43—22no—
527C4⋊C4×C43—22no—
528C4⋊C4×C43—22no—
529C4⋊C4×C43—22no—
530C4⋊C4×C43—41no—
531C4⋊C4×C43—41no—
532C4⋊C4×C43—41no—
533C22⋊C4×C43—22no—
534C22⋊C4×C43—22no—
535C22⋊C4×C43—22no—
536C22⋊C4×C43—22no—
537C22⋊C4×C43—41no—
538C22⋊C4×C43—41no—
539C22⋊C4×C43—41no—
540C22⋊C4×C43C2×D414yes—
541C42×C43—22no—
542C22⋊Dic43—22no—
543C22⋊Dic43—22no—
544C22⋊Dic43—22no—
545C22⋊Dic43—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—41no—
571(C2×D43)⋊C4—41no—
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—41no—
586Dic43⋊C4—22no—
587Dic43⋊C4—22no—
588Dic43⋊C4—22no—
589Dic43⋊C4—22no—
590Dic43⋊C4—22no—
591Dic43⋊C4—22no—
592Dic43⋊C4—22no—
593Dic43⋊C4—41no—
594Dic43⋊C4—41no—
595Dic43⋊C4C2×D414yes—
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—22no—
608C4×Dic43—22no—
609C4×Dic43—41no—
610C4×Dic43—41no—
611C4×Dic43C2×D414yes—
612C23×C43—21no—
613C23×C43—21no—
614C23×C43—21no—
615C23×C43—21no—
616C23×C43—21no—
617C23×C43—21no—
618C23×C43—21no—
619C23×C43—21no—
620C23×C43—21no—
621C23×C43—21no—
622C23×C43C22×D412yes—
623C23×C43C2×#4112yes—
624C23×C43C2×#4112yes—
625C23×C43C2×#4112yes—
626C23×C43C2511yescharacteristic
627C22×D43—28no—
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—21no—
653C22×D43—44no—
654C22×D43—44no—
655C22×D43—44no—
656C22×D43—44no—
657C22×D43—44no—
658C22×D43—44no—
659C22×D43C22×D412yes—
660C22×D43C2×#4112yes—
661C22×D43C2×#4112yes—
662Q8×C43—44no—
663D4×C43—28no—
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—21no—
698C2×C4×C43—44no—
699C2×C4×C43—44no—
700C2×C4×C43—44no—
701C2×C4×C43—44no—
702C2×C4×C43C22×D412yes—
703C2×C4×C43C22×D412yes—
704C2×C4×C43C2×#4112yes—
705C2×C4×C43C2×#4112yes—
706C2×C4×C43C2×#4112yes—
707C22⋊D43—28no—
708C22⋊D43—28no—
709C22⋊D43—44no—
710C22⋊D43—44no—
711C22⋊D43—44no—
712C22⋊D43—44no—
713C2×Dic43—28no—
714C2×Dic43—28no—
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—21no—
725C2×Dic43—28no—
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—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—44no—
745C2×Dic43—44no—
746C2×Dic43C22×D412yes—
747C2×Dic43C22×D412yes—
748C2×Dic43C22×D412yes—
749C2×Dic43C2×#4112yes—
750C2×Dic43C2×#4112yes—
751C2×Dic43C2×#4112yes—
752C2×Dic43C2×#4112yes—
753C2×Dic43H(5,𝔽2)12yes—
754D172—44no—
755D172—44no—
756D172—44no—
757D172—44no—
758D172—44no—
759C4×D43—28no—
760C4×D43—28no—
761C4×D43—28no—
762C4×D43—44no—
763C4×D43—44no—
764C4×D43—44no—
765C4×D43—44no—
766C4×D43—44no—
767Dic86—28no—
768#34732—431nomaximal, Sylow
769C22×C43—22no—
770C22×C43—22no—
771C22×C43—22no—
772C22×C43—22no—
773C22×C43—22no—
774C22×C43—22no—
775C22×C43—22no—
776C22×C43—22no—
777C22×C43—22no—
778C22×C43—41no—
779C22×C43—41no—
780C22×C43—41no—
781C22×C43—41no—
782C22×C43#52514yes—
783C22×C43C23×D411yescharacteristic
784C22×C43C22×#4111yescharacteristic
785C22×C43C22×#4111yescharacteristic
786C22×C43C22×#4111yescharacteristic
787C22×C43C22×#4111yescharacteristic
788C22×C43C2×H(5,𝔽2)11yescharacteristic
789C22×C43#58511yescharacteristic
790C2×D43—22no—
791C2×D43—22no—
792C2×D43—22no—
793C2×D43—22no—
794C2×D43—22no—
795C2×D43—22no—
796C2×D43—22no—
797C2×D43—22no—
798C2×D43—22no—
799C2×D43—416no—
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—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
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—
830C4×C43—41no—
831C4×C43—41no—
832Dic43—22no—
833Dic43—22no—
834Dic43—22no—
835Dic43—22no—
836Dic43—22no—
837Dic43—41no—
838Dic43—41no—
839Dic43—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43#54614yes—
844C2×#525—431no—
845C2×C4×#41—431no—
846#2477—431no—
847#2476—431no—
848#2471—431no—
849#2470—431no—
850#2465—431no—
851#2464—431no—
852#2458—431no—
853#2457—431no—
854#2450D4311yescharacteristic, complemented
855#2444—431no—
856#2438—431no—
857#2430—431no—
858#2424—431no—
859#2418—431no—
860#2411—431no—
861#2404—431no—
862#2398—431no—
863#2396—431no—
864#2392—431no—
865#2388—431no—
866C4×#123—431no—
867C4×#123—431no—
868C4×#121—431no—
869C4×#121—431no—
870C4×#120—431no—
871#2297—431no—
872#2290—431no—
873#2290—431no—
874C2×C4×C22⋊C4—431no—
875C2×C43—24no—
876C2×C43—42no—
877C2×C43C2×#52511yescharacteristic
878C2×C43#344411yescharacteristic
879C2×C43#346011yescharacteristic
880C2×C43C2×#54611yescharacteristic
881C2×C43D4×#4111yescharacteristic
882C2×C43#347511yescharacteristic
883C2×C43#348111yescharacteristic
884D43—42no—
885D43—42no—
886D43—42no—
887D43—81no—
888C22×#41—431no—
889C22×#41—431no—
890C24×C4—431no—
891#525—868no—
892C2×#123—431no—
893C2×#123—431no—
894C2×#123—431no—
895C2×#123—431no—
896C2×C22⋊Q8—431no—
897C2×C22⋊Q8C2×D4311yescharacteristic
898C2×#121—431no—
899C2×#121—431no—
900C2×#121—431no—
901C2×#121—431no—
902C2×#120—431no—
903C2×#120—431no—
904C2×#120—431no—
905C4×#41—868no—
906C2×C4×Q8—431no—
907C2×C4×Q8—431no—
908C2×C4×D4—431no—
909C2×C4×D4—431no—
910C2×C4×D4—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×D4C2×D4311yescharacteristic
920C2×#117—431no—
921C2×#117—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—
930C22×C42—431no—
931#400—431no—
932#400—431no—
933#400C2×D4311yescharacteristic, complemented
934#399—431no—
935#398—431no—
936#398—431no—
937#398C2×D4311yescharacteristic, complemented
938#397—431no—
939#397—431no—
940#397—431no—
941#396—431no—
942#396—431no—
943#396—431no—
944#396C2×D4311yescharacteristic, complemented
945#395—431no—
946#395—431no—
947#394—431no—
948#394—431no—
949#394—431no—
950#394—431no—
951#394—431no—
952#394—431no—
953#394—431no—
954#394—431no—
955#393—431no—
956#393—431no—
957#393—431no—
958#393C2×D4311yescharacteristic, complemented
959#392—431no—
960#392—431no—
961#392—431no—
962#392—431no—
963#391—431no—
964#391C2×D4311yescharacteristic, complemented
965#390—431no—
966#390—431no—
967#390—431no—
968#390—431no—
969#389—431no—
970#389—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#387—431no—
984#387—431no—
985#387—431no—
986#387—431no—
987#387—431no—
988#387—431no—
989#387—431no—
990#387C2×D4311yescharacteristic, complemented
991#386—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#386—431no—
1005#386—431no—
1006#386C2×D4311yescharacteristic
1007#386C2×D4311yescharacteristic
1008#385—431no—
1009#385—431no—
1010#385—431no—
1011#385—431no—
1012#385—431no—
1013#385—431no—
1014#385C2×D4311yescharacteristic
1015#385C2×D4311yescharacteristic
1016#385C2×D4311yescharacteristic, complemented
1017#381—431no—
1018#381—431no—
1019#380—431no—
1020#380C2×D4311yescharacteristic, complemented
1021#379—431no—
1022C4×C4⋊C4—431no—
1023C4×C4⋊C4—431no—
1024C4×C4⋊C4—431no—
1025C4×C4⋊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⋊C4—431no—
1039C4×C22⋊C4—431no—
1040C4×C22⋊C4—431no—
1041C4×C22⋊C4—431no—
1042#376—431no—
1043C2×#95—431no—
1044C2×#95C2×D4311yescharacteristic
1045C43#3473211yescharacteristic, complemented, Sylow
1046C25—431no—
1047C2×#41—864no—
1048C2×#41—864no—
1049C2×#41—864no—
1050C2×#41—864no—
1051C2×#41—864no—
1052C2×#41—1722no—
1053C22×Q8—431no—
1054C22×Q8C22×D4311yescharacteristic
1055C22×D4—431no—
1056C22×D4—431no—
1057C22×D4—431no—
1058C22×D4—431no—
1059C22×D4—431no—
1060C22×D4—431no—
1061C22×D4—431no—
1062C22×D4—431no—
1063C22×D4—431no—
1064C22×D4—431no—
1065C22×D4—431no—
1066C22×D4C22×D4311yescharacteristic
1067C23×C4—431no—
1068C23×C4—431no—
1069C23×C4—431no—
1070C23×C4—431no—
1071C23×C4—431no—
1072C23×C4—431no—
1073C23×C4—431no—
1074C23×C4—431no—
1075C23×C4—431no—
1076C23×C4—431no—
1077C23×C4—431no—
1078C23×C4—431no—
1079C23×C4—431no—
1080C23×C4—864no—
1081C23×C4—864no—
1082C23×C4—1722no—
1083C23×C4C22×D4311yescharacteristic
1084C23×C4C22×D4311yescharacteristic
1085C23×C4C22×D4311yescharacteristic
1086C23×C4C22×D4311yescharacteristic
1087#123—864no—
1088#123—864no—
1089#123—864no—
1090#123—864no—
1091C22⋊Q8—24no—
1092C22⋊Q8—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×Q8—864no—
1102C4×D4—24no—
1103C4×D4—438no—
1104C4×D4—864no—
1105C4×D4—864no—
1106C4×D4—864no—
1107C4×D4—864no—
1108C4×D4—864no—
1109C4×D4—864no—
1110C4×D4—864no—
1111C4×D4—864no—
1112C4×D4—1722no—
1113C4×D4—1722no—
1114#117—864no—
1115#117—864no—
1116#117—864no—
1117#117—864no—
1118#117—1722no—
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⋊C4—431no—
1130C2×C4⋊C4—431no—
1131C2×C4⋊C4—431no—
1132C2×C4⋊C4—431no—
1133C2×C4⋊C4—431no—
1134C2×C4⋊C4—431no—
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×C4⋊C4C22×D4311yescharacteristic
1142C2×C4⋊C4C22×D4311yescharacteristic
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—864no—
1182C2×C22⋊C4—864no—
1183C2×C22⋊C4C22×D4311yescharacteristic
1184C2×C22⋊C4C22×D4311yescharacteristic
1185C2×C22⋊C4C22×D4311yescharacteristic
1186C2×C22⋊C4C22×D4311yescharacteristic
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—864no—
1208C2×C42—864no—
1209C2×C42—864no—
1210C2×C42—1722no—
1211C2×C42C22×D4311yescharacteristic
1212#95—431no—
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#95—431no—
1234#95—431no—
1235#95—431no—
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
1245#95C22×D4311yescharacteristic
1246#95C22×D4311yescharacteristic
1247#95C22×D4311yescharacteristic
1248C24—431no—
1249C24—431no—
1250C24—431no—
1251C24—431no—
1252C24—862no—
1253C24—862no—
1254C24—862no—
1255C24—862no—
1256C24—862no—
1257C24—1721no—
1258C24—1721no—
1259C24C23×D4311yescharacteristic
1260C24C23×D4311yescharacteristic
1261#41—8632no—
1262#41—17216no—
1263C2×Q8—22no—
1264C2×Q8—22no—
1265C2×Q8—41no—
1266C2×Q8—862no—
1267C2×Q8—862no—
1268C2×Q8—862no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—434no—
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—862no—
1292C2×D4—862no—
1293C2×D4—862no—
1294C2×D4—862no—
1295C2×D4—862no—
1296C2×D4—1721no—
1297C2×D4—1721no—
1298C2×D4—1721no—
1299C2×D4—1721no—
1300C2×D4—1721no—
1301C2×D4—1721no—
1302C2×D4—1721no—
1303C2×D4—1721no—
1304C2×D4#1062190214yescomplemented
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—431no—
1318C22×C4—434no—
1319C22×C4—434no—
1320C22×C4—431no—
1321C22×C4—431no—
1322C22×C4—431no—
1323C22×C4—431no—
1324C22×C4—431no—
1325C22×C4—434no—
1326C22×C4—434no—
1327C22×C4—431no—
1328C22×C4—431no—
1329C22×C4—431no—
1330C22×C4—431no—
1331C22×C4—431no—
1332C22×C4—431no—
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—862no—
1351C22×C4—862no—
1352C22×C4—862no—
1353C22×C4—862no—
1354C22×C4—862no—
1355C22×C4—862no—
1356C22×C4—862no—
1357C22×C4—862no—
1358C22×C4—862no—
1359C22×C4—862no—
1360C22×C4—862no—
1361C22×C4—862no—
1362C22×C4—862no—
1363C22×C4—862no—
1364C22×C4—1721no—
1365C22×C4—1721no—
1366C22×C4—1721no—
1367C22×C4—17216no—
1368C22×C4—1721no—
1369C22×C4C23×D4311yescharacteristic
1370C22×C4C23×D4311yescharacteristic
1371C22×C4C23×D4311yescharacteristic
1372C22×C4C23×D4311yescharacteristic
1373C22×C4C23×D4311yescharacteristic
1374C22×C4C23×D4311yescharacteristic
1375C22×C4C23×D4311yescharacteristic
1376C22×C4C23×D4311yescharacteristic
1377C22×C4C23×D4311yescharacteristic
1378C22×C4C23×D4311yescharacteristic
1379C22×C4C23×D4311yescharacteristic
1380C22×C4C23×D4311yescharacteristic
1381C22×C4C23×D4311yescharacteristic
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—41no—
1388C4⋊C4—41no—
1389C4⋊C4—41no—
1390C4⋊C4—434no—
1391C4⋊C4—862no—
1392C4⋊C4—862no—
1393C4⋊C4—862no—
1394C4⋊C4—862no—
1395C4⋊C4—862no—
1396C4⋊C4—862no—
1397C4⋊C4—862no—
1398C4⋊C4—862no—
1399C4⋊C4—862no—
1400C4⋊C4—862no—
1401C4⋊C4—862no—
1402C4⋊C4—862no—
1403C4⋊C4—1721no—
1404C4⋊C4—1721no—
1405C4⋊C4—1721no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—434no—
1414C22⋊C4—434no—
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—862no—
1439C22⋊C4—862no—
1440C22⋊C4—862no—
1441C22⋊C4—862no—
1442C22⋊C4—862no—
1443C22⋊C4—1721no—
1444C22⋊C4—1721no—
1445C22⋊C4—1721no—
1446C22⋊C4—1721no—
1447C22⋊C4—1721no—
1448C22⋊C4—1721no—
1449C22⋊C4—1721no—
1450C22⋊C4—1721no—
1451C22⋊C4D4×D4314yes—
1452C42—22no—
1453C42—434no—
1454C42—862no—
1455C42—862no—
1456C42—862no—
1457C42—862no—
1458C42—862no—
1459C42—862no—
1460C42—862no—
1461C42—862no—
1462C42—862no—
1463C42—862no—
1464C42—862no—
1465C42—862no—
1466C42—862no—
1467C42—1721no—
1468C42—1721no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—432no—
1480C23—432no—
1481C23—432no—
1482C23—868no—
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—861no—
1506C23—861no—
1507C23—861no—
1508C23—1724no—
1509C23—1724no—
1510C23—1724no—
1511C23—1724no—
1512C23—1724no—
1513C23—1724no—
1514C23C2×D4×D4312yes—
1515C23#41×D4312yes—
1516C23C2×#1062190212yes—
1517C23C2×#1062190212yes—
1518C23C24×D4311yescharacteristic
1519Q8—44no—
1520Q8—868no—
1521D4—28no—
1522D4—868no—
1523D4—868no—
1524D4—1724no—
1525D4—1724no—
1526D4—1724no—
1527D4—1724no—
1528D4—1724no—
1529D4—1724no—
1530D4—1724no—
1531D4—1724no—
1532D4—1724no—
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—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—432no—
1572C2×C4—432no—
1573C2×C4—432no—
1574C2×C4—432no—
1575C2×C4—432no—
1576C2×C4—432no—
1577C2×C4—432no—
1578C2×C4—432no—
1579C2×C4—868no—
1580C2×C4—868no—
1581C2×C4—868no—
1582C2×C4—868no—
1583C2×C4—868no—
1584C2×C4—868no—
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—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—861no—
1609C2×C4—861no—
1610C2×C4—861no—
1611C2×C4—861no—
1612C2×C4—861no—
1613C2×C4—1724no—
1614C2×C4—1724no—
1615C2×C4—1724no—
1616C2×C4—1724no—
1617C2×C4—1724no—
1618C2×C4—1724no—
1619C2×C4—1724no—
1620C2×C4C2×D4×D4312yes—
1621C2×C4C2×D4×D4312yes—
1622C2×C4#41×D4312yes—
1623C2×C4#41×D4312yes—
1624C2×C4C2×#1062190212yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—862no—
1639C22—862no—
1640C22—862no—
1641C22—862no—
1642C22—862no—
1643C22—862no—
1644C22—862no—
1645C22—862no—
1646C22—862no—
1647C22—17216no—
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—1721no—
1662C22—1721no—
1663C22—1721no—
1664C22—1721no—
1665C22—1721no—
1666C22—1721no—
1667C22#1458341214yes—
1668C22C22×D4×D4311yescharacteristic
1669C22C2×#41×D4311yescharacteristic
1670C22C2×#41×D4311yescharacteristic
1671C22C2×#41×D4311yescharacteristic
1672C22C22×#1062190211yescharacteristic
1673C22H(5,𝔽2)×D4311yescharacteristic
1674C22#1458373411yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—434no—
1689C4—862no—
1690C4—862no—
1691C4—862no—
1692C4—862no—
1693C4—862no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4—1721no—
1700C2—24no—
1701C2—42no—
1702C2—3441no—
1703C2—1722no—
1704C2—1722no—
1705C2—1722no—
1706C2C2×#1458341211yescharacteristic
1707C2#1914788911yescharacteristic
1708C2#1914801411yescharacteristic
1709C2#546×D4311yescharacteristic
1710C2#1914807911yescharacteristic
1711C2#1914816111yescharacteristic
1712C2#1914820611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2450C2
hypercenter#2450D43
hypocenterC43#34732
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2450

Complements

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

NH ≅ G/Ntype
1. C2×#14583412C2semidirect
2. C2×C4×#10621900C2semidirect
3. #19138799C2semidirect
4. #19138784C2semidirect
5. #19138709C2semidirect
6. #19138694C2semidirect
7. #19138623C2semidirect
8. #19138608C2semidirect
9. #19138524C2semidirect
10. #19138509C2semidirect
11. #19138345C2semidirect
12. #19138267C2semidirect
13. #19138203C2semidirect
14. #19138125C2semidirect
15. #19138059C2semidirect
16. #19137978C2semidirect
17. #19137913C2semidirect
18. #19137884C2semidirect
19. #19137872C2semidirect
20. #19137840C2semidirect
21. #19137812C2semidirect
22. #19137116C2semidirect
23. #19137114C2semidirect
24. #19137105C2semidirect
25. #19137101C2semidirect
26. #19137100C2semidirect
27. #19137084C2semidirect
28. #19137031C2semidirect
29. #19137031C2semidirect
30. C2×#14582746C2semidirect
31. C43×#2450C2semidirect
49. C2×C4×Dic86C22semidirect
50. C2×#13063290C22semidirect
55. C2×C4×C22⋊D43C22semidirect
60. C2×(C22⋊D43)⋊C4C22semidirect
61. C2×(C22⋊D43)⋊C4C22semidirect
63. C2×#13063283C22semidirect
64. C2×#13063283C22semidirect
66. C2×#13063281C22semidirect
71. C22×C4×Dic43C22semidirect
72. C2×C42×D43C22semidirect
73. #14582841C22semidirect
74. #14582837C22semidirect
76. #14582832C22semidirect
77. #14582832C22semidirect
79. #14582828C22semidirect
80. #14582828C22semidirect
84. #14582820C22semidirect
85. #14582818C22semidirect
89. #14582817C22semidirect
93. #14582815C22semidirect
96. #14582812C22semidirect
100. #14582808C22semidirect
101. #14582806C22semidirect
105. #14582799C22semidirect
106. #14582796C22semidirect
107. #14582795C22semidirect
110. #14582791C22semidirect
111. #14582791C22semidirect
114. #14582789C22semidirect
115. #14582789C22semidirect
116. #14582789C22semidirect
118. #14582788C22semidirect
119. #14582787C22semidirect
120. #14582786C22semidirect
121. #14582786C22semidirect
122. #14582782C22semidirect
123. #14582782C22semidirect
124. #14582780C22semidirect
125. #14582780C22semidirect
126. #14582780C22semidirect
134. #14582777C22semidirect
135. #14582777C22semidirect
139. #14582776C22semidirect
143. #14582774C22semidirect
146. #14582773C22semidirect
148. #14582761C22semidirect
152. C4⋊C4×Dic43C22semidirect
153. C4⋊C4×Dic43C22semidirect
154. C4⋊C4×Dic43C22semidirect
155. #14582750C22semidirect
157. C22⋊C4×Dic43C22semidirect
168. #14582746C22semidirect
169. #14582746C22semidirect
170. #14582746C22semidirect
171. #14582746C22semidirect
172. #14582744C22semidirect
176. C43×#400C22semidirect
177. C43×#398C22semidirect
178. C43×#396C22semidirect
179. C43×#393C22semidirect
180. C43×#391C22semidirect
181. C43×#387C22semidirect
186. C43×#385C22semidirect
187. C43×#380C22semidirect
248. (C22⋊D43)⋊C4D4semidirect
409. C2×D4×C43#41semidirect
467. C22×Dic43#41semidirect
521. C2×C4×D43#41semidirect
579. (C2×D43)⋊C4#41semidirect
854. #2450D43semidirect
933. #400C2×D43semidirect
937. #398C2×D43semidirect
944. #396C2×D43semidirect
958. #393C2×D43semidirect
964. #391C2×D43semidirect
990. #387C2×D43semidirect
1016. #385C2×D43semidirect
1020. #380C2×D43semidirect
1045. C43#34732semidirect
1304. C2×D4#10621902semidirect

Maximal subgroups

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

subgroupindex
C2×#145834122
C2×C4×#106219002
#191387992
#191387842
#191387092
#191386942
#191386232
#191386082
#191385242
#191385092
#191383452
#191382672
#191382032
#191381252
#191380592
#191379782
#191379132
#191378842
#191378722
#191378402
#191378122
#191371162
#191371142
#191371052
#191371012
#191371002
#191370842
#191370312
C2×#145827462
C43×#24502
#3473243