Finite Group Databasebeta

← #25265472

Subgroups — #25265472

Order 11008.

3390 conjugacy classes of subgroups.

The subgroup lattice has 1846 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583444C211yesmaximal, characteristic, complemented
2C2×#14583405C211yesmaximal, characteristic, complemented
3C2×#14583405C211yesmaximal, characteristic, complemented
4C2×C4×#10621900C211yesmaximal, characteristic, complemented
5#19138191C211yesmaximal, characteristic, complemented
6#19138187C211yesmaximal, characteristic, complemented
7#19138180C211yesmaximal, characteristic, complemented
8#19138176C211yesmaximal, characteristic, complemented
9#19138169C211yesmaximal, characteristic, complemented
10#19138165C211yesmaximal, characteristic, complemented
11#19138158C211yesmaximal, characteristic, complemented
12#19138154C211yesmaximal, characteristic, complemented
13#19138152C211yesmaximal, characteristic, complemented
14#19138148C211yesmaximal, characteristic, complemented
15#19138144C211yesmaximal, characteristic, complemented
16#19138140C211yesmaximal, characteristic, complemented
17#19138135C211yesmaximal, characteristic, complemented
18#19138131C211yesmaximal, characteristic, complemented
19#19138127C211yesmaximal, characteristic, complemented
20#19137840C211yesmaximal, characteristic, complemented
21#19137838C211yesmaximal, characteristic, complemented
22#19137834C211yesmaximal, characteristic, complemented
23#19137830C211yesmaximal, characteristic, complemented
24#19137111C211yesmaximal, characteristic, complemented
25#121×Dic43C211yesmaximal, characteristic, complemented
26#19137107C211yesmaximal, characteristic, complemented
27#19137105C211yesmaximal, characteristic, complemented
28#19137080C211yesmaximal, characteristic, complemented
29#19137074C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic43C211yesmaximal, characteristic, complemented
31C43×#2424C211yesmaximal, characteristic, complemented
32C22×#10621900C2211yescharacteristic
33C22×#10621900C2211yescharacteristic
34C24×Dic43C2211yescharacteristic
35#14583444—28no—
36C2×#13063324C2211yescharacteristic, complemented
37C2×#13063321C2211yescharacteristic, complemented
38C2×#13063311C2211yescharacteristic, complemented
39C2×#13063311C2211yescharacteristic, complemented
40#14583405—28no—
41#14583405—28no—
42C2×#13063309C2211yescharacteristic
43C2×#13063309C2211yescharacteristic
44C2×#13063306C2211yescharacteristic
45C2×#13063306C2211yescharacteristic
46C2×#13063302C2211yescharacteristic
47C2×#13063302C2211yescharacteristic
48C2×#13063302C2211yescharacteristic
49C2×#13063302C2211yescharacteristic
50C2×#13063299C2211yescharacteristic
51C2×#13063298C2211yescharacteristic
52C2×#13063297C2211yescharacteristic
53C2×#13063297C2211yescharacteristic
54C2×#13063297C2211yescharacteristic
55C2×#13063297C2211yescharacteristic
56C2×#13063297C2211yescharacteristic
57C2×#13063297C2211yescharacteristic
58C2×#13063297C2211yescharacteristic
59C2×#13063296C2211yescharacteristic
60C2×#13063294C2211yescharacteristic
61C2×#13063294C2211yescharacteristic
62C4×#10621900—28no—
63C2×C4×Dic86C2211yescharacteristic, complemented
64C2×#13063290C2211yescharacteristic, complemented
65C2×D4×Dic43C2211yescharacteristic
66C2×D4×Dic43C2211yescharacteristic
67C2×D4×Dic43C2211yescharacteristic
68C2×D4×Dic43C2211yescharacteristic
69C2×D4×Dic43C2211yescharacteristic
70C2×D4×Dic43C2211yescharacteristic, complemented
71C2×#13063287C2211yescharacteristic, complemented
72C2×C4×C22⋊D43C2211yescharacteristic
73C2×C4×C22⋊D43C2211yescharacteristic, complemented
74C2×(C22⋊D43)⋊C4C2211yescharacteristic
75C2×(C22⋊D43)⋊C4C2211yescharacteristic
76C2×(C22⋊D43)⋊C4C2211yescharacteristic
77C2×(C22⋊D43)⋊C4C2211yescharacteristic
78C2×(C22⋊D43)⋊C4C2211yescharacteristic
79C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
80C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
81C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
82C2×#13063283C2211yescharacteristic, complemented
83C2×#13063281C2211yescharacteristic
84C2×#13063281C2211yescharacteristic
85C2×#13063281C2211yescharacteristic, complemented
86C22×C22⋊Dic43C2211yescharacteristic
87C22×C4×Dic43C2211yescharacteristic
88C22×C4×Dic43C2211yescharacteristic
89C22×C4×Dic43C2211yescharacteristic, complemented
90C2×C42×D43C2211yescharacteristic, complemented
91#14582833C2211yescharacteristic, complemented
92#14582832C2211yescharacteristic, complemented
93#14582831C2211yescharacteristic, complemented
94#14582829C2211yescharacteristic, complemented
95#14582828C2211yescharacteristic, complemented
96#14582827C2211yescharacteristic, complemented
97#14582826C2211yescharacteristic, complemented
98#14582824C2211yescharacteristic, complemented
99#14582822C2211yescharacteristic
100#14582822C2211yescharacteristic
101#14582822C2211yescharacteristic
102#14582822C2211yescharacteristic, complemented
103#14582822C2211yescharacteristic, complemented
104#14582821C2211yescharacteristic, complemented
105#14582821C2211yescharacteristic, complemented
106#14582816C2211yescharacteristic, complemented
107#14582815C2211yescharacteristic
108#14582815C2211yescharacteristic
109#14582815C2211yescharacteristic, complemented
110#14582814C2211yescharacteristic
111#14582814C2211yescharacteristic
112#14582814C2211yescharacteristic, complemented
113#14582813C2211yescharacteristic
114#14582813C2211yescharacteristic
115#14582813C2211yescharacteristic, complemented
116#14582808C2211yescharacteristic
117#14582807C2211yescharacteristic
118#14582807C2211yescharacteristic
119#14582803C2211yescharacteristic, complemented
120#14582803C2211yescharacteristic, complemented
121#14582802C2211yescharacteristic
122#14582799C2211yescharacteristic
123#14582799C2211yescharacteristic
124#14582799C2211yescharacteristic, complemented
125#14582799C2211yescharacteristic, complemented
126#14582798C2211yescharacteristic, complemented
127#14582797C2211yescharacteristic, complemented
128#14582796C2211yescharacteristic, complemented
129#14582796C2211yescharacteristic, complemented
130#14582796C2211yescharacteristic, complemented
131#14582794C2211yescharacteristic, complemented
132#14582794C2211yescharacteristic, complemented
133#14582794C2211yescharacteristic, complemented
134#14582793C2211yescharacteristic
135#14582793C2211yescharacteristic, complemented
136#14582792C2211yescharacteristic
137#14582792C2211yescharacteristic, complemented
138#14582791C2211yescharacteristic, complemented
139#14582790C2211yescharacteristic, complemented
140#14582787C2211yescharacteristic
141#14582779C2211yescharacteristic
142#14582779C2211yescharacteristic
143#14582779C2211yescharacteristic, complemented
144#14582778C2211yescharacteristic
145#14582778C2211yescharacteristic, complemented
146#14582777C2211yescharacteristic, complemented
147#14582776C2211yescharacteristic
148#14582775C2211yescharacteristic
149#14582775C2211yescharacteristic
150#14582775C2211yescharacteristic, complemented
151#14582774C2211yescharacteristic
152#14582772C2211yescharacteristic
153#14582771C2211yescharacteristic
154#14582759C2211yescharacteristic, complemented
155#14582758C2211yescharacteristic, complemented
156#14582757C2211yescharacteristic, complemented
157#14582756C2211yescharacteristic, complemented
158C4⋊C4×Dic43C2211yescharacteristic, complemented
159C4⋊C4×Dic43C2211yescharacteristic, complemented
160#14582750C2211yescharacteristic, complemented
161#14582750C2211yescharacteristic, complemented
162C22⋊C4×Dic43C2211yescharacteristic
163C22⋊C4×Dic43C2211yescharacteristic
164C22⋊C4×Dic43C2211yescharacteristic
165C22⋊C4×Dic43C2211yescharacteristic
166C22⋊C4×Dic43C2211yescharacteristic
167C22⋊C4×Dic43C2211yescharacteristic
168C22⋊C4×Dic43C2211yescharacteristic
169C22⋊C4×Dic43C2211yescharacteristic
170C22⋊C4×Dic43C2211yescharacteristic, complemented
171C22⋊C4×Dic43C2211yescharacteristic, complemented
172#14582746C2211yescharacteristic, complemented
173#14582746C2211yescharacteristic, complemented
174C2×C43⋊#95C2211yescharacteristic
175C2×C43⋊#95C2211yescharacteristic
176C2×#121×C43C2211yescharacteristic
177C2×#121×C43C2211yescharacteristic
178C2×#120×C43C2211yescharacteristic
179C2×#120×C43C2211yescharacteristic
180C2×C4×D4×C43C2211yescharacteristic
181C22×C22⋊C4×C43C2211yescharacteristic
182C43×#396C2211yescharacteristic
183C43×#394C2211yescharacteristic
184C43×#394C2211yescharacteristic
185C43×#392C2211yescharacteristic
186C43×#390C2211yescharacteristic
187C43×#388C2211yescharacteristic
188C43×#386C2211yescharacteristic
189C43×#386C2211yescharacteristic
190C43×#385C2211yescharacteristic
191C2×#10621900—24no—
192C2×#10621900—24no—
193C2×#10621900—24no—
194C2×#10621900—24no—
195C2×#10621900—24no—
196C2×#10621900D418yescomplemented
197C22×Dic86C2311yescharacteristic
198C22×Dic86C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C22×C22⋊D43C2311yescharacteristic
207C22×C22⋊D43C2311yescharacteristic
208C22×C22⋊D43C2311yescharacteristic
209C22×C22⋊D43C2311yescharacteristic
210C23×Dic43—24no—
211C23×Dic43—24no—
212C23×Dic43—24no—
213C23×Dic43C2311yescharacteristic
214C23×Dic43C2311yescharacteristic
215C23×Dic43C2311yescharacteristic
216C23×Dic43C2311yescharacteristic
217C23×Dic43C2311yescharacteristic
218C23×Dic43C2311yescharacteristic
219C23×Dic43C2311yescharacteristic
220C23×Dic43C2311yescharacteristic
221C23×Dic43C2311yescharacteristic
222C23×Dic43C2311yescharacteristic
223C23×Dic43C2311yescharacteristic
224C22×C4×D43C2311yescharacteristic
225C22×C4×D43C2311yescharacteristic
226C22×C4×D43C2311yescharacteristic
227C22×C4×D43C2311yescharacteristic
228#13063324—24no—
229#13063321—24no—
230#13063311—24no—
231#13063311—24no—
232#13063309—24no—
233#13063309—24no—
234#13063306—24no—
235#13063306—24no—
236#13063302—24no—
237#13063302—24no—
238#13063302—24no—
239#13063302—24no—
240#13063299—24no—
241#13063298—24no—
242#13063297—24no—
243#13063297—24no—
244#13063297—24no—
245#13063297—24no—
246#13063297—24no—
247#13063297—24no—
248#13063297—24no—
249#13063296—24no—
250#13063294—24no—
251#13063294—24no—
252C4×Dic86—24no—
253#13063290—24no—
254D4×Dic43—24no—
255D4×Dic43—24no—
256D4×Dic43—24no—
257D4×Dic43—24no—
258D4×Dic43—24no—
259D4×Dic43—24no—
260#13063287—24no—
261C4×C22⋊D43—24no—
262C4×C22⋊D43—24no—
263(C22⋊D43)⋊C4—24no—
264(C22⋊D43)⋊C4—24no—
265(C22⋊D43)⋊C4—24no—
266(C22⋊D43)⋊C4—24no—
267(C22⋊D43)⋊C4—24no—
268(C22⋊D43)⋊C4—24no—
269(C22⋊D43)⋊C4—24no—
270(C22⋊D43)⋊C4—24no—
271#13063283—24no—
272#13063281—24no—
273#13063281—24no—
274#13063281D418yescomplemented
275C2×C4⋊Dic43C2311yescharacteristic
276C2×C4⋊Dic43C2311yescharacteristic
277C2×C4⋊Dic43C2311yescharacteristic
278C2×C4⋊Dic43C2311yescharacteristic
279C2×C4⋊Dic43C2311yescharacteristic
280C2×C4⋊Dic43C2311yescharacteristic
281C2×C4⋊Dic43C2311yescharacteristic
282C2×C4⋊Dic43C2311yescharacteristic
283C2×Dic43⋊C4C2311yescharacteristic
284C2×Dic43⋊C4C2311yescharacteristic
285C2×Dic43⋊C4C2311yescharacteristic
286C2×Dic43⋊C4C2311yescharacteristic
287C2×Dic43⋊C4C2311yescharacteristic
288C2×Dic43⋊C4C2311yescharacteristic
289C2×Dic43⋊C4C2311yescharacteristic
290C2×Dic43⋊C4C2311yescharacteristic
291C2×Dic43⋊C4C2311yescharacteristic
292C2×Dic43⋊C4C2311yescharacteristic
293C2×Dic43⋊C4C2311yescharacteristic
294C2×Dic43⋊C4C2311yescharacteristic
295C2×Dic43⋊C4C2311yescharacteristic
296C2×Dic43⋊C4C2311yescharacteristic
297C2×Dic43⋊C4C2311yescharacteristic
298C2×Dic43⋊C4C2311yescharacteristic
299C2×C22⋊Dic43—24no—
300C2×C22⋊Dic43C2311yescharacteristic
301C2×C22⋊Dic43C2311yescharacteristic
302C2×C22⋊Dic43C2311yescharacteristic
303C2×C22⋊Dic43C2311yescharacteristic
304C2×C22⋊Dic43C2311yescharacteristic
305C2×C22⋊Dic43C2311yescharacteristic
306C2×C22⋊Dic43C2311yescharacteristic
307C2×C22⋊Dic43C2311yescharacteristic
308C2×C22⋊Dic43C2311yescharacteristic
309C2×C22⋊Dic43C2311yescharacteristic
310C2×C22⋊Dic43C2311yescharacteristic
311C2×C22⋊Dic43C2311yescharacteristic
312C2×C22⋊Dic43C2311yescharacteristic
313C2×C22⋊Dic43C2311yescharacteristic
314C2×C22⋊Dic43C2311yescharacteristic
315C2×C22⋊Dic43C2311yescharacteristic
316C2×C22⋊Dic43C2311yescharacteristic
317C2×C22⋊Dic43C2311yescharacteristic
318C2×C22⋊Dic43C2311yescharacteristic
319C2×(C2×D43)⋊C4C2311yescharacteristic
320C2×(C2×D43)⋊C4C2311yescharacteristic
321C2×(C2×D43)⋊C4C2311yescharacteristic
322C2×(C2×D43)⋊C4C2311yescharacteristic
323C2×(C2×D43)⋊C4C2311yescharacteristic
324C2×(C2×D43)⋊C4C2311yescharacteristic
325C2×(C2×D43)⋊C4C2311yescharacteristic
326C2×(C2×D43)⋊C4C2311yescharacteristic
327C2×(C2×D43)⋊C4C2311yescharacteristic
328C2×(C2×D43)⋊C4C2311yescharacteristic
329C2×(C2×D43)⋊C4C2311yescharacteristic
330C2×(C2×D43)⋊C4C2311yescharacteristic
331C2×(C2×D43)⋊C4C2311yescharacteristic
332C2×(C2×D43)⋊C4C2311yescharacteristic
333C2×C4×Dic43—24no—
334C2×C4×Dic43—24no—
335C2×C4×Dic43—24no—
336C2×C4×Dic43C2311yescharacteristic
337C2×C4×Dic43C2311yescharacteristic
338C2×C4×Dic43C2311yescharacteristic
339C2×C4×Dic43C2311yescharacteristic
340C2×C4×Dic43C2311yescharacteristic
341C2×C4×Dic43C2311yescharacteristic
342C2×C4×Dic43C2311yescharacteristic
343C2×C4×Dic43C2311yescharacteristic
344C2×C4×Dic43C2311yescharacteristic
345C2×C4×Dic43C2311yescharacteristic
346C2×C4×Dic43C2311yescharacteristic
347C2×C4×Dic43C2311yescharacteristic
348C2×C4×Dic43C2311yescharacteristic
349C2×C4×Dic43C2311yescharacteristic
350C2×C4×Dic43C2311yescharacteristic
351C42×D43—24no—
352C43⋊#95C2311yescharacteristic
353C43⋊#95C2311yescharacteristic
354C43⋊#95C2311yescharacteristic
355C43⋊#95C2311yescharacteristic
356C43⋊#95C2311yescharacteristic
357C43⋊#95C2311yescharacteristic
358C43⋊#95C2311yescharacteristic
359C43⋊#95C2311yescharacteristic
360C43⋊#95C2311yescharacteristic
361C43⋊#95C2311yescharacteristic
362C43⋊#95C2311yescharacteristic
363C43⋊#95C2311yescharacteristic
364C43⋊#95C2311yescharacteristic
365C43⋊#95C2311yescharacteristic
366C43⋊#95C2311yescharacteristic
367C43⋊#95C2311yescharacteristic
368C43⋊#95C2311yescharacteristic
369C43⋊#95C2311yescharacteristic
370C43⋊#95C2311yescharacteristic
371C43⋊#95C2311yescharacteristic
372C25×C43C2311yescharacteristic
373C22×D4×C43C2311yescharacteristic
374C22×D4×C43C2311yescharacteristic
375C22×D4×C43C2311yescharacteristic
376C22×D4×C43C2311yescharacteristic
377C22×D4×C43C2311yescharacteristic
378C22×D4×C43C2311yescharacteristic
379C22×D4×C43C2311yescharacteristic
380C23×C4×C43C2311yescharacteristic
381C23×C4×C43C2311yescharacteristic
382C23×C4×C43C2311yescharacteristic
383#121×C43—24no—
384#121×C43—24no—
385#120×C43—24no—
386#120×C43—24no—
387C4×D4×C43—24no—
388C2×C4⋊C4×C43C2311yescharacteristic
389C2×C4⋊C4×C43C2311yescharacteristic
390C2×C4⋊C4×C43C2311yescharacteristic
391C2×C4⋊C4×C43C2311yescharacteristic
392C2×C22⋊C4×C43—24no—
393C2×C22⋊C4×C43C2311yescharacteristic
394C2×C22⋊C4×C43C2311yescharacteristic
395C2×C22⋊C4×C43C2311yescharacteristic
396C2×C22⋊C4×C43C2311yescharacteristic
397C2×C22⋊C4×C43C2311yescharacteristic
398C2×C22⋊C4×C43C2311yescharacteristic
399C2×C22⋊C4×C43C2311yescharacteristic
400C2×C22⋊C4×C43C2311yescharacteristic
401C2×C22⋊C4×C43C2311yescharacteristic
402C2×C22⋊C4×C43C2311yescharacteristic
403C2×C22⋊C4×C43C2311yescharacteristic
404C2×C22⋊C4×C43C2311yescharacteristic
405C2×C22⋊C4×C43C2311yescharacteristic
406C2×C22⋊C4×C43C2311yescharacteristic
407C2×C22⋊C4×C43C2311yescharacteristic
408C2×C42×C43C2311yescharacteristic
409#95×C43C2311yescharacteristic
410#95×C43C2311yescharacteristic
411#95×C43C2311yescharacteristic
412#95×C43C2311yescharacteristic
413C24×C43—22no—
414C24×C43—22no—
415C24×C43—22no—
416C24×C43—22no—
417C24×C43—22no—
418C24×C43—41no—
419C24×C43—41no—
420C24×C43C2411yescharacteristic
421C24×C43C2411yescharacteristic
422C24×C43C2411yescharacteristic
423C24×C43C2411yescharacteristic
424C24×C43C2411yescharacteristic
425C23×D43C2411yescharacteristic
426C23×D43C2411yescharacteristic
427C2×D4×C43—22no—
428C2×D4×C43—22no—
429C2×D4×C43—22no—
430C2×D4×C43—22no—
431C2×D4×C43—22no—
432C2×D4×C43—22no—
433C2×D4×C43—22no—
434C2×D4×C43—22no—
435C2×D4×C43—22no—
436C2×D4×C43—22no—
437C2×D4×C43—22no—
438C2×D4×C43—22no—
439C2×D4×C43—22no—
440C2×D4×C43—22no—
441C2×D4×C43—22no—
442C2×D4×C43—41no—
443C2×D4×C43—41no—
444C2×D4×C43—41no—
445C2×D4×C43—41no—
446C2×D4×C43—41no—
447C2×D4×C43C2×D414yes—
448C22×C4×C43—22no—
449C22×C4×C43—22no—
450C22×C4×C43—22no—
451C22×C4×C43—22no—
452C22×C4×C43—22no—
453C22×C4×C43—22no—
454C22×C4×C43—41no—
455C22×C4×C43—41no—
456C22×C4×C43—41no—
457C22×C4×C43C2411yescharacteristic
458C22×C4×C43C2411yescharacteristic
459C22×C4×C43C2411yescharacteristic
460C22×C4×C43C2411yescharacteristic
461C22×C4×C43C2411yescharacteristic
462C22×C4×C43C2411yescharacteristic
463C22×C4×C43C2411yescharacteristic
464C22×C4×C43C2411yescharacteristic
465C22×C4×C43C2411yescharacteristic
466C22×C4×C43C2411yescharacteristic
467C2×C22⋊D43—22no—
468C2×C22⋊D43—22no—
469C2×C22⋊D43—22no—
470C2×C22⋊D43—22no—
471C2×C22⋊D43—22no—
472C2×C22⋊D43—22no—
473C2×C22⋊D43—22no—
474C2×C22⋊D43—22no—
475C2×C22⋊D43—22no—
476C2×C22⋊D43—22no—
477C2×C22⋊D43—22no—
478C2×C22⋊D43—22no—
479C2×C22⋊D43—22no—
480C2×C22⋊D43—22no—
481C2×C22⋊D43—22no—
482C2×C22⋊D43—22no—
483C2×C22⋊D43—22no—
484C2×C22⋊D43—22no—
485C2×C22⋊D43—22no—
486C2×C22⋊D43—22no—
487C2×C22⋊D43—22no—
488C2×C22⋊D43—22no—
489C2×C22⋊D43—41no—
490C2×C22⋊D43—41no—
491C2×C22⋊D43—41no—
492C2×C22⋊D43—41no—
493C2×C22⋊D43—41no—
494C2×C22⋊D43—41no—
495C2×C22⋊D43C2×D414yes—
496C2×C22⋊D43C2×D414yes—
497C22×Dic43—22no—
498C22×Dic43—22no—
499C22×Dic43—22no—
500C22×Dic43—22no—
501C22×Dic43—22no—
502C22×Dic43—22no—
503C22×Dic43—22no—
504C22×Dic43—22no—
505C22×Dic43—22no—
506C22×Dic43—22no—
507C22×Dic43—22no—
508C22×Dic43—22no—
509C22×Dic43—22no—
510C22×Dic43—22no—
511C22×Dic43—22no—
512C22×Dic43—22no—
513C22×Dic43—22no—
514C22×Dic43—22no—
515C22×Dic43—22no—
516C22×Dic43—22no—
517C22×Dic43—22no—
518C22×Dic43—22no—
519C22×Dic43—22no—
520C22×Dic43—22no—
521C22×Dic43—22no—
522C22×Dic43—22no—
523C22×Dic43—41no—
524C22×Dic43—41no—
525C22×Dic43—41no—
526C22×Dic43—416no—
527C22×Dic43C2×D414yes—
528C22×Dic43C2×D414yes—
529C22×Dic43C2×D414yes—
530C22×Dic43#4114yes—
531C22×Dic43C2411yescharacteristic
532C22×Dic43C2411yescharacteristic
533C22×Dic43C2411yescharacteristic
534C22×Dic43C2411yescharacteristic
535C22×Dic43C2411yescharacteristic
536C22×Dic43C2411yescharacteristic
537C22×Dic43C2411yescharacteristic
538C22×Dic43C2411yescharacteristic
539C22×Dic43C2411yescharacteristic
540C22×Dic43C2411yescharacteristic
541C22×Dic43C2411yescharacteristic
542C22×Dic43C2411yescharacteristic
543C22×Dic43C2411yescharacteristic
544C22×Dic43C2411yescharacteristic
545#10621900—232no—
546#10621900—416no—
547C2×D172—22no—
548C2×D172—22no—
549C2×D172—41no—
550C2×C4×D43—22no—
551C2×C4×D43—22no—
552C2×C4×D43—22no—
553C2×C4×D43—22no—
554C2×C4×D43—22no—
555C2×C4×D43—22no—
556C2×C4×D43—22no—
557C2×C4×D43—22no—
558C2×C4×D43—22no—
559C2×C4×D43—41no—
560C2×C4×D43—41no—
561C2×C4×D43C2×D414yes—
562C2×Dic86—22no—
563C2×Dic86—22no—
564C2×Dic86—22no—
565C2×Dic86—22no—
566C2×Dic86—22no—
567C2×Dic86C2×D414yes—
568C4⋊C4×C43—22no—
569C4⋊C4×C43—22no—
570C4⋊C4×C43—22no—
571C4⋊C4×C43—41no—
572C22⋊C4×C43—22no—
573C22⋊C4×C43—22no—
574C22⋊C4×C43—22no—
575C22⋊C4×C43—22no—
576C22⋊C4×C43—22no—
577C22⋊C4×C43—22no—
578C22⋊C4×C43—22no—
579C22⋊C4×C43—22no—
580C22⋊C4×C43—22no—
581C22⋊C4×C43—22no—
582C22⋊C4×C43—22no—
583C22⋊C4×C43—22no—
584C22⋊C4×C43—41no—
585C22⋊C4×C43C2×D414yes—
586C22⋊C4×C43#4114yescomplemented
587C42×C43—22no—
588C22⋊Dic43—22no—
589C22⋊Dic43—22no—
590C22⋊Dic43—22no—
591C22⋊Dic43—22no—
592C22⋊Dic43—22no—
593C22⋊Dic43—22no—
594C22⋊Dic43—22no—
595C22⋊Dic43—22no—
596C22⋊Dic43—22no—
597C22⋊Dic43—22no—
598C22⋊Dic43—22no—
599C22⋊Dic43—22no—
600C22⋊Dic43—22no—
601C22⋊Dic43—22no—
602C22⋊Dic43—22no—
603C22⋊Dic43—22no—
604C22⋊Dic43—41no—
605C22⋊Dic43C2×D414yes—
606C22⋊Dic43#4114yescomplemented
607(C2×D43)⋊C4—22no—
608(C2×D43)⋊C4—22no—
609(C2×D43)⋊C4—22no—
610(C2×D43)⋊C4—22no—
611(C2×D43)⋊C4—22no—
612(C2×D43)⋊C4—22no—
613(C2×D43)⋊C4—22no—
614(C2×D43)⋊C4—22no—
615(C2×D43)⋊C4—22no—
616(C2×D43)⋊C4—22no—
617(C2×D43)⋊C4—22no—
618(C2×D43)⋊C4—22no—
619(C2×D43)⋊C4—41no—
620(C2×D43)⋊C4—41no—
621C4⋊Dic43—22no—
622C4⋊Dic43—22no—
623C4⋊Dic43—22no—
624C4⋊Dic43—22no—
625C4⋊Dic43—22no—
626C4⋊Dic43—22no—
627C4⋊Dic43—22no—
628C4⋊Dic43—41no—
629Dic43⋊C4—22no—
630Dic43⋊C4—22no—
631Dic43⋊C4—22no—
632Dic43⋊C4—22no—
633Dic43⋊C4—22no—
634Dic43⋊C4—22no—
635Dic43⋊C4—22no—
636Dic43⋊C4—22no—
637Dic43⋊C4—22no—
638Dic43⋊C4—22no—
639Dic43⋊C4—22no—
640Dic43⋊C4—22no—
641Dic43⋊C4—41no—
642Dic43⋊C4—41no—
643Dic43⋊C4C2×D414yes—
644Dic43⋊C4C2×D414yes—
645C4×Dic43—22no—
646C4×Dic43—22no—
647C4×Dic43—22no—
648C4×Dic43—22no—
649C4×Dic43—22no—
650C4×Dic43—22no—
651C4×Dic43—22no—
652C4×Dic43—22no—
653C4×Dic43—22no—
654C4×Dic43—22no—
655C4×Dic43—22no—
656C4×Dic43—22no—
657C4×Dic43—22no—
658C4×Dic43C2×D414yes—
659C4×Dic43C2×D414yes—
660C23×C43—21no—
661C23×C43—21no—
662C23×C43—21no—
663C23×C43—21no—
664C23×C43—28no—
665C23×C43—21no—
666C23×C43—21no—
667C23×C43—21no—
668C23×C43—21no—
669C23×C43—21no—
670C23×C43—21no—
671C23×C43—21no—
672C23×C43—21no—
673C23×C43—21no—
674C23×C43—21no—
675C23×C43—21no—
676C23×C43—21no—
677C23×C43—21no—
678C23×C43—21no—
679C23×C43—21no—
680C23×C43—21no—
681C23×C43—21no—
682C23×C43—21no—
683C23×C43—21no—
684C23×C43—21no—
685C23×C43—21no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43—21no—
689C23×C43—21no—
690C23×C43—44no—
691C23×C43—44no—
692C23×C43—44no—
693C23×C43—44no—
694C23×C43—44no—
695C23×C43—44no—
696C23×C43C22×D412yes—
697C23×C43C22×D412yes—
698C23×C43C22×D412yes—
699C23×C43C2×#4112yes—
700C23×C43C2×#4112yes—
701C23×C43C2×#4112yes—
702C23×C43C2511yescharacteristic
703C22×D43—21no—
704C22×D43—21no—
705C22×D43—21no—
706C22×D43—21no—
707C22×D43—21no—
708C22×D43—21no—
709C22×D43—21no—
710C22×D43—21no—
711C22×D43—21no—
712C22×D43—21no—
713C22×D43—21no—
714C22×D43—21no—
715C22×D43—21no—
716C22×D43C22×D412yes—
717D4×C43—28no—
718D4×C43—44no—
719D4×C43—44no—
720D4×C43—44no—
721D4×C43—44no—
722D4×C43—44no—
723D4×C43—44no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—21no—
743C2×C4×C43—21no—
744C2×C4×C43—21no—
745C2×C4×C43—21no—
746C2×C4×C43—21no—
747C2×C4×C43—21no—
748C2×C4×C43—21no—
749C2×C4×C43—44no—
750C2×C4×C43—44no—
751C2×C4×C43—44no—
752C2×C4×C43C22×D412yes—
753C2×C4×C43C22×D412yes—
754C2×C4×C43C22×D412yes—
755C2×C4×C43C2×#4112yes—
756C2×C4×C43C2×#4112yes—
757C22⋊D43—28no—
758C22⋊D43—28no—
759C22⋊D43—44no—
760C22⋊D43—44no—
761C22⋊D43—44no—
762C22⋊D43—44no—
763C22⋊D43—44no—
764C22⋊D43—44no—
765C22⋊D43—44no—
766C22⋊D43—44no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—21no—
770C2×Dic43—21no—
771C2×Dic43—21no—
772C2×Dic43—21no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—21no—
776C2×Dic43—21no—
777C2×Dic43—28no—
778C2×Dic43—21no—
779C2×Dic43—21no—
780C2×Dic43—21no—
781C2×Dic43—21no—
782C2×Dic43—21no—
783C2×Dic43—21no—
784C2×Dic43—21no—
785C2×Dic43—21no—
786C2×Dic43—21no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—21no—
793C2×Dic43—21no—
794C2×Dic43—21no—
795C2×Dic43—21no—
796C2×Dic43—21no—
797C2×Dic43—21no—
798C2×Dic43—21no—
799C2×Dic43—44no—
800C2×Dic43—44no—
801C2×Dic43—44no—
802C2×Dic43—44no—
803C2×Dic43—44no—
804C2×Dic43—44no—
805C2×Dic43—44no—
806C2×Dic43—44no—
807C2×Dic43—44no—
808C2×Dic43#121116yescomplemented
809C2×Dic43C22×D412yes—
810C2×Dic43C22×D412yes—
811C2×Dic43C22×D412yes—
812C2×Dic43C22×D412yes—
813C2×Dic43C22×D412yes—
814C2×Dic43C22×D412yes—
815C2×Dic43C22×D412yes—
816C2×Dic43C2×#4112yes—
817C2×Dic43C2×#4112yes—
818C2×Dic43C2×#4112yes—
819C2×Dic43C2×#4112yes—
820D172—44no—
821C4×D43—28no—
822C4×D43—44no—
823C4×D43—44no—
824C4×D43—44no—
825Dic86—28no—
826Dic86—44no—
827#34743—431nomaximal, Sylow
828C22×C43—22no—
829C22×C43—22no—
830C22×C43—22no—
831C22×C43—22no—
832C22×C43—22no—
833C22×C43—22no—
834C22×C43—22no—
835C22×C43—22no—
836C22×C43—22no—
837C22×C43—22no—
838C22×C43—22no—
839C22×C43—22no—
840C22×C43—22no—
841C22×C43—22no—
842C22×C43—22no—
843C22×C43—416no—
844C22×C43—41no—
845C22×C43—41no—
846C22×C43—41no—
847C22×C43—41no—
848C22×C43—41no—
849C22×C43—41no—
850C22×C43—41no—
851C22×C43—41no—
852C22×C43—41no—
853C22×C43—41no—
854C22×C43—41no—
855C22×C43—41no—
856C22×C43—41no—
857C22×C43—41no—
858C22×C43—41no—
859C22×C43—41no—
860C22×C43—41no—
861C22×C43—41no—
862C22×C43—41no—
863C22×C43C2×#12114yes—
864C22×C43C23×D411yescharacteristic
865C22×C43C23×D411yescharacteristic
866C22×C43C22×#4111yescharacteristic
867C22×C43C22×#4111yescharacteristic
868C22×C43C22×#4111yescharacteristic
869C22×C43#58511yescharacteristic
870C22×C43#58511yescharacteristic
871C2×D43—22no—
872C2×D43—22no—
873C2×D43—22no—
874C2×D43—41no—
875C2×D43—41no—
876C2×D43—41no—
877C2×D43—41no—
878C2×D43—41no—
879C2×D43—41no—
880C2×D43—41no—
881C2×D43—41no—
882C2×D43—41no—
883C2×D43—41no—
884C2×D43—41no—
885C4×C43—22no—
886C4×C43—22no—
887C4×C43—22no—
888C4×C43—22no—
889C4×C43—22no—
890C4×C43—41no—
891C4×C43—41no—
892C4×C43—41no—
893C4×C43—41no—
894C4×C43—41no—
895Dic43—22no—
896Dic43—22no—
897Dic43—22no—
898Dic43—22no—
899Dic43—22no—
900Dic43—41no—
901Dic43—41no—
902Dic43—41no—
903Dic43—41no—
904Dic43—41no—
905Dic43—41no—
906Dic43—41no—
907Dic43C2×#12114yes—
908Dic43C2×#12114yes—
909C2×#532—431no—
910C2×#525—431no—
911C2×#525—431no—
912C2×C4×#41—431no—
913#2429—431no—
914#2429—431no—
915#2428—431no—
916#2428—431no—
917#2427—431no—
918#2427—431no—
919#2426—431no—
920#2426—431no—
921#2425—431no—
922#2425—431no—
923#2425—431no—
924#2425—431no—
925#2424—431no—
926#2424—431no—
927#2424—431no—
928#2424D4311yescharacteristic, complemented
929#2392—431no—
930#2392—431no—
931#2392—431no—
932#2392—431no—
933C4×#121—431no—
934C4×#121—431no—
935C4×#121—431no—
936C4×#121—431no—
937#2297—431no—
938#2296—431no—
939C2×C4×C22⋊C4—431no—
940C2×C43—24no—
941C2×C43—42no—
942C2×C43—42no—
943C2×C43—42no—
944C2×C43—81no—
945C2×C43C22×#12111yescharacteristic
946C2×C43#344411yescharacteristic
947C2×C43#345511yescharacteristic
948C2×C43D4×#4111yescharacteristic
949C2×C43D4×#4111yescharacteristic
950C2×C43D4×#4111yescharacteristic
951C2×C43D4×#4111yescharacteristic
952D43—42no—
953D43—81no—
954C22×#41—431no—
955C22×#41—431no—
956C24×C4—431no—
957#532—868no—
958C2×C4⋊Q8—431no—
959C2×#127—431no—
960C2×#124—431no—
961C2×#124—431no—
962#525—868no—
963#525—868no—
964C2×#123—431no—
965C2×#123—431no—
966C2×#123—431no—
967C2×#123—431no—
968C2×C22⋊Q8—431no—
969C2×C22⋊Q8—431no—
970C2×C22⋊Q8—431no—
971C2×C22⋊Q8—431no—
972C2×#121—431no—
973C2×#121—431no—
974C2×#121—431no—
975C2×#121—431no—
976C2×#121—431no—
977C2×#121—431no—
978C2×#121—431no—
979C2×#121—431no—
980C2×#121—431no—
981C2×#121—431no—
982C2×#121C2×D4311yescharacteristic
983C2×#121C2×D4311yescharacteristic
984C2×#120—431no—
985C2×#120—431no—
986C2×#120C2×D4311yescharacteristic
987C2×#120C2×D4311yescharacteristic
988C4×#41—868no—
989C2×C4×Q8—431no—
990C2×C4×Q8—431no—
991C2×C4×D4—431no—
992C2×C4×D4—431no—
993C2×C4×D4—431no—
994C2×C4×D4—431no—
995C2×C4×D4—431no—
996C2×C4×D4—431no—
997C2×C4×D4—431no—
998C2×C4×D4—431no—
999C2×C4×D4—431no—
1000C2×C4×D4—431no—
1001C2×C4×D4—431no—
1002C2×C4×D4—431no—
1003C2×C4×D4—431no—
1004C2×C4×D4—431no—
1005C2×C4×D4—431no—
1006C2×C4×D4—431no—
1007C2×C4×D4—431no—
1008C2×C4×D4C2×D4311yescharacteristic
1009C2×#117—431no—
1010C2×#117—431no—
1011C2×#117—431no—
1012C2×#117—431no—
1013C22×C22⋊C4—431no—
1014C22×C22⋊C4C2×D4311yescharacteristic
1015C22×C42—431no—
1016C22×C42—431no—
1017C22×C42—431no—
1018C22×C42—431no—
1019#398—431no—
1020#398—431no—
1021#398—431no—
1022#398—431no—
1023#397—431no—
1024#397—431no—
1025#397—431no—
1026#397—431no—
1027#396—431no—
1028#396—431no—
1029#396—431no—
1030#396—431no—
1031#396—431no—
1032#396—431no—
1033#396—431no—
1034#396C2×D4311yescharacteristic
1035#394—431no—
1036#394—431no—
1037#394—431no—
1038#394—431no—
1039#394—431no—
1040#394—431no—
1041#394—431no—
1042#394—431no—
1043#394—431no—
1044#394—431no—
1045#394C2×D4311yescharacteristic
1046#394C2×D4311yescharacteristic
1047#392—431no—
1048#392—431no—
1049#392—431no—
1050#392C2×D4311yescharacteristic
1051#391—431no—
1052#391—431no—
1053#390—431no—
1054#390—431no—
1055#390—431no—
1056#390—431no—
1057#390—431no—
1058#390C2×D4311yescharacteristic
1059#389—431no—
1060#389—431no—
1061#389—431no—
1062#389—431no—
1063#389—431no—
1064#389—431no—
1065#389—431no—
1066#389—431no—
1067#388—431no—
1068#388—431no—
1069#388—431no—
1070#388—431no—
1071#388—431no—
1072#388—431no—
1073#388—431no—
1074#388C2×D4311yescharacteristic
1075#386—431no—
1076#386—431no—
1077#386—431no—
1078#386—431no—
1079#386—431no—
1080#386—431no—
1081#386—431no—
1082#386—431no—
1083#386—431no—
1084#386—431no—
1085#386C2×D4311yescharacteristic
1086#386C2×D4311yescharacteristic
1087#385—431no—
1088#385—431no—
1089#385—431no—
1090#385C2×D4311yescharacteristic
1091#380—431no—
1092#380—431no—
1093#380—431no—
1094#380—431no—
1095C4×C4⋊C4—431no—
1096C4×C4⋊C4—431no—
1097C4×C4⋊C4—431no—
1098C4×C4⋊C4—431no—
1099C4×C22⋊C4—431no—
1100C4×C22⋊C4—431no—
1101C4×C22⋊C4—431no—
1102C4×C22⋊C4—431no—
1103C4×C22⋊C4—431no—
1104C4×C22⋊C4—431no—
1105C4×C22⋊C4—431no—
1106C4×C22⋊C4—431no—
1107C4×C22⋊C4—431no—
1108C4×C22⋊C4—431no—
1109C4×C22⋊C4—431no—
1110C4×C22⋊C4—431no—
1111C2×#95—431no—
1112C2×#95—431no—
1113C43#3474311yescharacteristic, complemented, Sylow
1114C25C22×D4311yescharacteristic
1115C2×#41—438no—
1116C2×#41—864no—
1117C2×#41—864no—
1118C2×#41—864no—
1119C2×#41—864no—
1120C2×#41—864no—
1121C22×Q8—431no—
1122C22×Q8—431no—
1123C22×D4—431no—
1124C22×D4—431no—
1125C22×D4—431no—
1126C22×D4—431no—
1127C22×D4—431no—
1128C22×D4—431no—
1129C22×D4—431no—
1130C22×D4—431no—
1131C22×D4—431no—
1132C22×D4—431no—
1133C22×D4—431no—
1134C22×D4C22×D4311yescharacteristic
1135C22×D4C22×D4311yescharacteristic
1136C22×D4C22×D4311yescharacteristic
1137C22×D4C22×D4311yescharacteristic
1138C22×D4C22×D4311yescharacteristic
1139C22×D4C22×D4311yescharacteristic
1140C22×D4C22×D4311yescharacteristic
1141C23×C4—431no—
1142C23×C4—431no—
1143C23×C4—431no—
1144C23×C4—431no—
1145C23×C4—431no—
1146C23×C4—431no—
1147C23×C4—431no—
1148C23×C4—431no—
1149C23×C4—431no—
1150C23×C4—431no—
1151C23×C4—431no—
1152C23×C4—431no—
1153C23×C4—431no—
1154C23×C4—431no—
1155C23×C4—431no—
1156C23×C4—864no—
1157C23×C4—864no—
1158C23×C4—864no—
1159C23×C4C22×D4311yescharacteristic
1160C23×C4C22×D4311yescharacteristic
1161C23×C4C22×D4311yescharacteristic
1162C4⋊Q8—864no—
1163#127—864no—
1164#124—864no—
1165#124—864no—
1166#123—864no—
1167#123—864no—
1168#123—864no—
1169#123—864no—
1170C22⋊Q8—864no—
1171C22⋊Q8—864no—
1172C22⋊Q8—864no—
1173C22⋊Q8—864no—
1174#121—24no—
1175#121—24no—
1176#121—864no—
1177#121—864no—
1178#121—864no—
1179#121—864no—
1180#121—864no—
1181#121—864no—
1182#121—864no—
1183#121—864no—
1184#121—864no—
1185#121—864no—
1186#120—24no—
1187#120—24no—
1188#120—864no—
1189#120—864no—
1190C4×Q8—864no—
1191C4×Q8—864no—
1192C4×D4—24no—
1193C4×D4—864no—
1194C4×D4—864no—
1195C4×D4—864no—
1196C4×D4—864no—
1197C4×D4—864no—
1198C4×D4—864no—
1199C4×D4—864no—
1200C4×D4—864no—
1201C4×D4—864no—
1202C4×D4—864no—
1203C4×D4—864no—
1204C4×D4—864no—
1205C4×D4—864no—
1206C4×D4—864no—
1207C4×D4—864no—
1208C4×D4—864no—
1209C4×D4—864no—
1210#117—438no—
1211#117—864no—
1212#117—864no—
1213#117—864no—
1214C2×C4⋊C4—431no—
1215C2×C4⋊C4—431no—
1216C2×C4⋊C4—431no—
1217C2×C4⋊C4—431no—
1218C2×C4⋊C4—431no—
1219C2×C4⋊C4—431no—
1220C2×C4⋊C4—431no—
1221C2×C4⋊C4—431no—
1222C2×C4⋊C4—431no—
1223C2×C4⋊C4—431no—
1224C2×C4⋊C4—431no—
1225C2×C4⋊C4—431no—
1226C2×C4⋊C4—431no—
1227C2×C4⋊C4—431no—
1228C2×C4⋊C4—431no—
1229C2×C4⋊C4—431no—
1230C2×C4⋊C4—431no—
1231C2×C4⋊C4—431no—
1232C2×C4⋊C4—431no—
1233C2×C4⋊C4—431no—
1234C2×C4⋊C4—431no—
1235C2×C4⋊C4—431no—
1236C2×C4⋊C4—431no—
1237C2×C4⋊C4—431no—
1238C2×C4⋊C4C22×D4311yescharacteristic
1239C2×C4⋊C4C22×D4311yescharacteristic
1240C2×C4⋊C4C22×D4311yescharacteristic
1241C2×C4⋊C4C22×D4311yescharacteristic
1242C2×C22⋊C4—24no—
1243C2×C22⋊C4—431no—
1244C2×C22⋊C4—431no—
1245C2×C22⋊C4—431no—
1246C2×C22⋊C4—431no—
1247C2×C22⋊C4—431no—
1248C2×C22⋊C4—431no—
1249C2×C22⋊C4—431no—
1250C2×C22⋊C4—431no—
1251C2×C22⋊C4—431no—
1252C2×C22⋊C4—431no—
1253C2×C22⋊C4—431no—
1254C2×C22⋊C4—431no—
1255C2×C22⋊C4—431no—
1256C2×C22⋊C4—431no—
1257C2×C22⋊C4—431no—
1258C2×C22⋊C4—431no—
1259C2×C22⋊C4—431no—
1260C2×C22⋊C4—431no—
1261C2×C22⋊C4—431no—
1262C2×C22⋊C4—431no—
1263C2×C22⋊C4—431no—
1264C2×C22⋊C4—431no—
1265C2×C22⋊C4—431no—
1266C2×C22⋊C4—431no—
1267C2×C22⋊C4—431no—
1268C2×C22⋊C4—431no—
1269C2×C22⋊C4—431no—
1270C2×C22⋊C4—431no—
1271C2×C22⋊C4—431no—
1272C2×C22⋊C4—431no—
1273C2×C22⋊C4—431no—
1274C2×C22⋊C4—431no—
1275C2×C22⋊C4—431no—
1276C2×C22⋊C4—864no—
1277C2×C22⋊C4C22×D4311yescharacteristic
1278C2×C22⋊C4C22×D4311yescharacteristic
1279C2×C22⋊C4C22×D4311yescharacteristic
1280C2×C22⋊C4C22×D4311yescharacteristic
1281C2×C22⋊C4C22×D4311yescharacteristic
1282C2×C22⋊C4C22×D4311yescharacteristic
1283C2×C22⋊C4C22×D4311yescharacteristic
1284C2×C22⋊C4C22×D4311yescharacteristic
1285C2×C22⋊C4C22×D4311yescharacteristic
1286C2×C22⋊C4C22×D4311yescharacteristic
1287C2×C22⋊C4C22×D4311yescharacteristic
1288C2×C22⋊C4C22×D4311yescharacteristic
1289C2×C22⋊C4C22×D4311yescharacteristic
1290C2×C22⋊C4C22×D4311yescharacteristic
1291C2×C22⋊C4C22×D4311yescharacteristic
1292C2×C42—431no—
1293C2×C42—431no—
1294C2×C42—431no—
1295C2×C42—431no—
1296C2×C42—431no—
1297C2×C42—431no—
1298C2×C42—431no—
1299C2×C42—431no—
1300C2×C42—431no—
1301C2×C42—431no—
1302C2×C42—431no—
1303C2×C42—431no—
1304C2×C42—431no—
1305C2×C42—431no—
1306C2×C42—431no—
1307C2×C42—864no—
1308C2×C42—864no—
1309C2×C42—864no—
1310C2×C42—864no—
1311C2×C42C22×D4311yescharacteristic
1312#95—431no—
1313#95—431no—
1314#95—431no—
1315#95—431no—
1316#95—431no—
1317#95—431no—
1318#95—431no—
1319#95—431no—
1320#95—431no—
1321#95—431no—
1322#95—431no—
1323#95—431no—
1324#95—431no—
1325#95—431no—
1326#95—431no—
1327#95—431no—
1328#95—431no—
1329#95—431no—
1330#95—431no—
1331#95—431no—
1332#95C22×D4311yescharacteristic
1333#95C22×D4311yescharacteristic
1334#95C22×D4311yescharacteristic
1335#95C22×D4311yescharacteristic
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—22no—
1340C24—22no—
1341C24—41no—
1342C24—41no—
1343C24—431no—
1344C24—431no—
1345C24C23×D4311yescharacteristic
1346C24C23×D4311yescharacteristic
1347C24C23×D4311yescharacteristic
1348C24C23×D4311yescharacteristic
1349C24C23×D4311yescharacteristic
1350#41—8632no—
1351#41—17216no—
1352C2×Q8—434no—
1353C2×Q8—862no—
1354C2×Q8—862no—
1355C2×Q8—862no—
1356C2×Q8—862no—
1357C2×Q8—862no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—22no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—434no—
1379C2×D4—434no—
1380C2×D4—862no—
1381C2×D4—862no—
1382C2×D4—862no—
1383C2×D4—862no—
1384C2×D4—862no—
1385C2×D4—862no—
1386C2×D4—862no—
1387C2×D4—862no—
1388C2×D4—862no—
1389C2×D4—862no—
1390C2×D4—862no—
1391C2×D4—862no—
1392C2×D4—862no—
1393C2×D4—862no—
1394C2×D4—862no—
1395C2×D4—862no—
1396C2×D4—862no—
1397C2×D4—862no—
1398C2×D4—862no—
1399C2×D4—862no—
1400C2×D4—862no—
1401C2×D4—862no—
1402C2×D4—862no—
1403C2×D4—862no—
1404C2×D4—1721no—
1405C2×D4—1721no—
1406C2×D4—1721no—
1407C2×D4—1721no—
1408C2×D4—1721no—
1409C2×D4—1721no—
1410C2×D4—1721no—
1411C2×D4D4×D4314yes—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—434no—
1422C22×C4—434no—
1423C22×C4—434no—
1424C22×C4—431no—
1425C22×C4—431no—
1426C22×C4—434no—
1427C22×C4—431no—
1428C22×C4—431no—
1429C22×C4—431no—
1430C22×C4—431no—
1431C22×C4—431no—
1432C22×C4—434no—
1433C22×C4—431no—
1434C22×C4—431no—
1435C22×C4—431no—
1436C22×C4—431no—
1437C22×C4—431no—
1438C22×C4—431no—
1439C22×C4—431no—
1440C22×C4—862no—
1441C22×C4—862no—
1442C22×C4—862no—
1443C22×C4—862no—
1444C22×C4—862no—
1445C22×C4—862no—
1446C22×C4—862no—
1447C22×C4—862no—
1448C22×C4—862no—
1449C22×C4—862no—
1450C22×C4—862no—
1451C22×C4—862no—
1452C22×C4—862no—
1453C22×C4—862no—
1454C22×C4—862no—
1455C22×C4—862no—
1456C22×C4—862no—
1457C22×C4—862no—
1458C22×C4—862no—
1459C22×C4—862no—
1460C22×C4—862no—
1461C22×C4—862no—
1462C22×C4—862no—
1463C22×C4—862no—
1464C22×C4—862no—
1465C22×C4—862no—
1466C22×C4—862no—
1467C22×C4—862no—
1468C22×C4—862no—
1469C22×C4—862no—
1470C22×C4—862no—
1471C22×C4—862no—
1472C22×C4—862no—
1473C22×C4—862no—
1474C22×C4—862no—
1475C22×C4—1721no—
1476C22×C4—1721no—
1477C22×C4—17216no—
1478C22×C4—1721no—
1479C22×C4—1721no—
1480C22×C4—1721no—
1481C22×C4C23×D4311yescharacteristic
1482C22×C4C23×D4311yescharacteristic
1483C22×C4C23×D4311yescharacteristic
1484C22×C4C23×D4311yescharacteristic
1485C22×C4C23×D4311yescharacteristic
1486C22×C4C23×D4311yescharacteristic
1487C22×C4C23×D4311yescharacteristic
1488C22×C4C23×D4311yescharacteristic
1489C22×C4C23×D4311yescharacteristic
1490C22×C4C23×D4311yescharacteristic
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—41no—
1495C4⋊C4—434no—
1496C4⋊C4—434no—
1497C4⋊C4—862no—
1498C4⋊C4—862no—
1499C4⋊C4—862no—
1500C4⋊C4—862no—
1501C4⋊C4—862no—
1502C4⋊C4—862no—
1503C4⋊C4—862no—
1504C4⋊C4—862no—
1505C4⋊C4—862no—
1506C4⋊C4—862no—
1507C4⋊C4—862no—
1508C4⋊C4—862no—
1509C4⋊C4—862no—
1510C4⋊C4—862no—
1511C4⋊C4—862no—
1512C4⋊C4—862no—
1513C4⋊C4—862no—
1514C4⋊C4—862no—
1515C4⋊C4—862no—
1516C4⋊C4—1721no—
1517C4⋊C4—1721no—
1518C4⋊C4—1721no—
1519C22⋊C4—22no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—22no—
1530C22⋊C4—22no—
1531C22⋊C4—41no—
1532C22⋊C4—434no—
1533C22⋊C4—434no—
1534C22⋊C4—862no—
1535C22⋊C4—862no—
1536C22⋊C4—862no—
1537C22⋊C4—862no—
1538C22⋊C4—862no—
1539C22⋊C4—862no—
1540C22⋊C4—862no—
1541C22⋊C4—862no—
1542C22⋊C4—862no—
1543C22⋊C4—862no—
1544C22⋊C4—862no—
1545C22⋊C4—862no—
1546C22⋊C4—862no—
1547C22⋊C4—862no—
1548C22⋊C4—862no—
1549C22⋊C4—862no—
1550C22⋊C4—862no—
1551C22⋊C4—862no—
1552C22⋊C4—862no—
1553C22⋊C4—862no—
1554C22⋊C4—862no—
1555C22⋊C4—862no—
1556C22⋊C4—862no—
1557C22⋊C4—862no—
1558C22⋊C4—862no—
1559C22⋊C4—862no—
1560C22⋊C4—862no—
1561C22⋊C4—862no—
1562C22⋊C4—1721no—
1563C22⋊C4—1721no—
1564C22⋊C4—1721no—
1565C22⋊C4D4×D4314yes—
1566C22⋊C4#1062190014yescomplemented
1567C42—22no—
1568C42—434no—
1569C42—434no—
1570C42—862no—
1571C42—862no—
1572C42—862no—
1573C42—862no—
1574C42—862no—
1575C42—862no—
1576C42—862no—
1577C42—862no—
1578C42—862no—
1579C42—862no—
1580C42—862no—
1581C42—862no—
1582C42—862no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—28no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—44no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—432no—
1620C23—861no—
1621C23—861no—
1622C23—861no—
1623C23—861no—
1624C23—861no—
1625C23—861no—
1626C23—861no—
1627C23—861no—
1628C23—861no—
1629C23—861no—
1630C23—861no—
1631C23—861no—
1632C23—861no—
1633C23C2×D4×D4312yes—
1634C23C2×D4×D4312yes—
1635C23C2×D4×D4312yes—
1636C23#41×D4312yes—
1637C23#41×D4312yes—
1638C23C2×#1062190012yes—
1639C23C24×D4311yescharacteristic
1640Q8—868no—
1641Q8—1724no—
1642D4—28no—
1643D4—44no—
1644D4—44no—
1645D4—44no—
1646D4—44no—
1647D4—44no—
1648D4—44no—
1649D4—868no—
1650D4—868no—
1651D4—1724no—
1652D4—1724no—
1653D4—1724no—
1654D4—1724no—
1655D4—1724no—
1656D4—1724no—
1657D4—1724no—
1658D4—1724no—
1659D4—1724no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—4316no—
1689C2×C4—432no—
1690C2×C4—432no—
1691C2×C4—432no—
1692C2×C4—432no—
1693C2×C4—432no—
1694C2×C4—432no—
1695C2×C4—432no—
1696C2×C4—432no—
1697C2×C4—432no—
1698C2×C4—432no—
1699C2×C4—432no—
1700C2×C4—868no—
1701C2×C4—868no—
1702C2×C4—861no—
1703C2×C4—861no—
1704C2×C4—861no—
1705C2×C4—861no—
1706C2×C4—861no—
1707C2×C4—861no—
1708C2×C4—861no—
1709C2×C4—861no—
1710C2×C4—861no—
1711C2×C4—861no—
1712C2×C4—861no—
1713C2×C4—861no—
1714C2×C4—861no—
1715C2×C4—861no—
1716C2×C4—861no—
1717C2×C4—861no—
1718C2×C4—861no—
1719C2×C4—861no—
1720C2×C4—861no—
1721C2×C4—861no—
1722C2×C4—861no—
1723C2×C4—861no—
1724C2×C4—861no—
1725C2×C4—861no—
1726C2×C4—861no—
1727C2×C4—861no—
1728C2×C4—861no—
1729C2×C4—861no—
1730C2×C4—861no—
1731C2×C4—861no—
1732C2×C4—861no—
1733C2×C4—1724no—
1734C2×C4—1724no—
1735C2×C4—1724no—
1736C2×C4—1724no—
1737C2×C4—1724no—
1738C2×C4—1724no—
1739C2×C4—1724no—
1740C2×C4—1724no—
1741C2×C4—1724no—
1742C2×C4—1724no—
1743C2×C4—1724no—
1744C2×C4—1724no—
1745C2×C4C2×D4×D4312yes—
1746C2×C4C2×D4×D4312yes—
1747C2×C4C2×D4×D4312yes—
1748C2×C4C2×#1062190012yes—
1749C2×C4C2×#1062190012yes—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—416no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—862no—
1786C22—862no—
1787C22—862no—
1788C22—1721no—
1789C22—1721no—
1790C22—1721no—
1791C22—1721no—
1792C22—1721no—
1793C22—1721no—
1794C22—1721no—
1795C22—1721no—
1796C22—1721no—
1797C22—1721no—
1798C22—1721no—
1799C22#121×D4314yes—
1800C22C22×D4×D4311yescharacteristic
1801C22C22×D4×D4311yescharacteristic
1802C22C2×#41×D4311yescharacteristic
1803C22C2×#41×D4311yescharacteristic
1804C22C22×#1062190011yescharacteristic
1805C22#1458373411yescharacteristic
1806C22#1458373411yescharacteristic
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—434no—
1818C4—434no—
1819C4—862no—
1820C4—862no—
1821C4—862no—
1822C4—862no—
1823C4—862no—
1824C4—1721no—
1825C4—1721no—
1826C4—1721no—
1827C4—1721no—
1828C4—1721no—
1829C4—1721no—
1830C4—1721no—
1831C2—24no—
1832C2—42no—
1833C2—42no—
1834C2—42no—
1835C2—81no—
1836C2—3441no—
1837C2—1722no—
1838C2C2×#121×D4311yescharacteristic
1839C2#1914788711yescharacteristic
1840C2#1914797711yescharacteristic
1841C2D4×#1062190011yescharacteristic
1842C2D4×#1062190011yescharacteristic
1843C2#1914807911yescharacteristic
1844C2#1914807911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2424C2
hypercenter#2424D43
hypocenterC43#34743
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C2×#14583444C2semidirect
2. C2×#14583405C2semidirect
3. C2×#14583405C2semidirect
4. C2×C4×#10621900C2semidirect
5. #19138191C2semidirect
6. #19138187C2semidirect
7. #19138180C2semidirect
8. #19138176C2semidirect
9. #19138169C2semidirect
10. #19138165C2semidirect
11. #19138158C2semidirect
12. #19138154C2semidirect
13. #19138152C2semidirect
14. #19138148C2semidirect
15. #19138144C2semidirect
16. #19138140C2semidirect
17. #19138135C2semidirect
18. #19138131C2semidirect
19. #19138127C2semidirect
20. #19137840C2semidirect
21. #19137838C2semidirect
22. #19137834C2semidirect
23. #19137830C2semidirect
24. #19137111C2semidirect
25. #121×Dic43C2semidirect
26. #19137107C2semidirect
27. #19137105C2semidirect
28. #19137080C2semidirect
29. #19137074C2semidirect
30. C2×C22⋊C4×Dic43C2semidirect
31. C43×#2424C2semidirect
36. C2×#13063324C22semidirect
37. C2×#13063321C22semidirect
38. C2×#13063311C22semidirect
39. C2×#13063311C22semidirect
63. C2×C4×Dic86C22semidirect
64. C2×#13063290C22semidirect
70. C2×D4×Dic43C22semidirect
71. C2×#13063287C22semidirect
73. C2×C4×C22⋊D43C22semidirect
79. C2×(C22⋊D43)⋊C4C22semidirect
80. C2×(C22⋊D43)⋊C4C22semidirect
81. C2×(C22⋊D43)⋊C4C22semidirect
82. C2×#13063283C22semidirect
85. C2×#13063281C22semidirect
89. C22×C4×Dic43C22semidirect
90. C2×C42×D43C22semidirect
91. #14582833C22semidirect
92. #14582832C22semidirect
93. #14582831C22semidirect
94. #14582829C22semidirect
95. #14582828C22semidirect
96. #14582827C22semidirect
97. #14582826C22semidirect
98. #14582824C22semidirect
102. #14582822C22semidirect
103. #14582822C22semidirect
104. #14582821C22semidirect
105. #14582821C22semidirect
106. #14582816C22semidirect
109. #14582815C22semidirect
112. #14582814C22semidirect
115. #14582813C22semidirect
119. #14582803C22semidirect
120. #14582803C22semidirect
124. #14582799C22semidirect
125. #14582799C22semidirect
126. #14582798C22semidirect
127. #14582797C22semidirect
128. #14582796C22semidirect
129. #14582796C22semidirect
130. #14582796C22semidirect
131. #14582794C22semidirect
132. #14582794C22semidirect
133. #14582794C22semidirect
135. #14582793C22semidirect
137. #14582792C22semidirect
138. #14582791C22semidirect
139. #14582790C22semidirect
143. #14582779C22semidirect
145. #14582778C22semidirect
146. #14582777C22semidirect
150. #14582775C22semidirect
154. #14582759C22semidirect
155. #14582758C22semidirect
156. #14582757C22semidirect
157. #14582756C22semidirect
158. C4⋊C4×Dic43C22semidirect
159. C4⋊C4×Dic43C22semidirect
160. #14582750C22semidirect
161. #14582750C22semidirect
170. C22⋊C4×Dic43C22semidirect
171. C22⋊C4×Dic43C22semidirect
172. #14582746C22semidirect
173. #14582746C22semidirect
196. C2×#10621900D4semidirect
274. #13063281D4semidirect
586. C22⋊C4×C43#41semidirect
606. C22⋊Dic43#41semidirect
808. C2×Dic43#121semidirect
928. #2424D43semidirect
1113. C43#34743semidirect
1566. C22⋊C4#10621900semidirect

Maximal subgroups

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

subgroupindex
C2×#145834442
C2×#145834052
C2×C4×#106219002
#191381912
#191381872
#191381802
#191381762
#191381692
#191381652
#191381582
#191381542
#191381522
#191381482
#191381442
#191381402
#191381352
#191381312
#191381272
#191378402
#191378382
#191378342
#191378302
#191371112
#121×Dic432
#191371072
#191371052
#191370802
#191370742
C2×C22⋊C4×Dic432
C43×#24242
#3474343