Finite Group Databasebeta

← #25264135

Subgroups — #25264135

Order 11008.

3910 conjugacy classes of subgroups.

The subgroup lattice has 1960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583409C211yesmaximal, characteristic, complemented
2C2×#14583407C211yesmaximal, characteristic, complemented
3C2×C4×D4×D43C211yesmaximal, characteristic, complemented
4C2×C4×D4×D43C211yesmaximal, characteristic, complemented
5#19138586C211yesmaximal, characteristic, complemented
6#19138489C211yesmaximal, characteristic, complemented
7#19138472C211yesmaximal, characteristic, complemented
8#19138409C211yesmaximal, characteristic, complemented
9#19138403C211yesmaximal, characteristic, complemented
10#19138337C211yesmaximal, characteristic, complemented
11#19138327C211yesmaximal, characteristic, complemented
12#19138257C211yesmaximal, characteristic, complemented
13#19138138C211yesmaximal, characteristic, complemented
14#19138128C211yesmaximal, characteristic, complemented
15#19138062C211yesmaximal, characteristic, complemented
16#19138056C211yesmaximal, characteristic, complemented
17#19137962C211yesmaximal, characteristic, complemented
18#19137962C211yesmaximal, characteristic, complemented
19#19137904C211yesmaximal, characteristic, complemented
20#19137873C211yesmaximal, characteristic, complemented
21#19137840C211yesmaximal, characteristic, complemented
22#19137830C211yesmaximal, characteristic, complemented
23#19137807C211yesmaximal, characteristic, complemented
24#19137111C211yesmaximal, characteristic, complemented
25#19137107C211yesmaximal, characteristic, complemented
26#19137100C211yesmaximal, characteristic, complemented
27#19137100C211yesmaximal, characteristic, complemented
28#19137096C211yesmaximal, characteristic, complemented
29#19137037C211yesmaximal, characteristic, complemented
30#19137033C211yesmaximal, characteristic, complemented
31C43×#2456C211yesmaximal, characteristic, complemented
32C22×#10621900C2211yescharacteristic, complemented
33C22×D4×D43C2211yescharacteristic
34C22×D4×D43C2211yescharacteristic
35C23×C4×D43C2211yescharacteristic
36C23×C4×D43C2211yescharacteristic, complemented
37C23×C4×D43C2211yescharacteristic, complemented
38#14583409—28no—
39#14583407—28no—
40C2×#13063308C2211yescharacteristic, complemented
41C2×#13063307C2211yescharacteristic, complemented
42C2×#13063307C2211yescharacteristic, complemented
43C2×#13063305C2211yescharacteristic, complemented
44C2×#13063304C2211yescharacteristic, complemented
45C2×#13063303C2211yescharacteristic, complemented
46C2×#13063303C2211yescharacteristic, complemented
47C2×#13063298C2211yescharacteristic
48C2×#13063298C2211yescharacteristic
49C2×#13063298C2211yescharacteristic, complemented
50C2×#13063296C2211yescharacteristic
51C2×#13063296C2211yescharacteristic
52C2×#13063295C2211yescharacteristic
53C2×#13063295C2211yescharacteristic
54C2×#13063293C2211yescharacteristic
55C2×#13063293C2211yescharacteristic
56C2×#13063293C2211yescharacteristic
57C2×#13063293C2211yescharacteristic, complemented
58C2×#13063293C2211yescharacteristic, complemented
59C2×C4×D172C2211yescharacteristic
60C2×C4×D172C2211yescharacteristic
61C2×D4×Dic43C2211yescharacteristic, complemented
62C2×D4×Dic43C2211yescharacteristic, complemented
63C2×D4×Dic43C2211yescharacteristic, complemented
64C2×D4×Dic43C2211yescharacteristic, complemented
65C2×D4×Dic43C2211yescharacteristic, complemented
66C2×#13063287C2211yescharacteristic
67C2×#13063287C2211yescharacteristic
68C2×#13063287C2211yescharacteristic, complemented
69C2×C4×C22⋊D43C2211yescharacteristic
70C2×C4×C22⋊D43C2211yescharacteristic
71C2×C4×C22⋊D43C2211yescharacteristic, complemented
72C2×C4×C22⋊D43C2211yescharacteristic, complemented
73C2×(C22⋊D43)⋊C4C2211yescharacteristic
74C2×(C22⋊D43)⋊C4C2211yescharacteristic
75C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
76C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
77C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
78C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
79C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
80C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
81C4×D4×D43—28no—
82C4×D4×D43—28no—
83C2×#13063283C2211yescharacteristic, complemented
84C2×#13063281C2211yescharacteristic, complemented
85C2×C4⋊C4×D43C2211yescharacteristic, complemented
86C2×C4⋊C4×D43C2211yescharacteristic, complemented
87C2×C22⋊C4×D43C2211yescharacteristic
88C2×C22⋊C4×D43C2211yescharacteristic
89C2×C22⋊C4×D43C2211yescharacteristic, complemented
90C2×C22⋊C4×D43C2211yescharacteristic, complemented
91C2×C42×D43C2211yescharacteristic, complemented
92C2×C42×D43C2211yescharacteristic, complemented
93#14582836C2211yescharacteristic, complemented
94#14582835C2211yescharacteristic, complemented
95#14582835C2211yescharacteristic, complemented
96#14582835C2211yescharacteristic, complemented
97#14582832C2211yescharacteristic, complemented
98#14582831C2211yescharacteristic, complemented
99#14582828C2211yescharacteristic, complemented
100#14582824C2211yescharacteristic, complemented
101#14582822C2211yescharacteristic, complemented
102#14582822C2211yescharacteristic, complemented
103#14582821C2211yescharacteristic, complemented
104#14582820C2211yescharacteristic, complemented
105#14582816C2211yescharacteristic, complemented
106#14582815C2211yescharacteristic, complemented
107#14582815C2211yescharacteristic, complemented
108#14582815C2211yescharacteristic, complemented
109#14582815C2211yescharacteristic, complemented
110#14582813C2211yescharacteristic, complemented
111#14582813C2211yescharacteristic, complemented
112#14582813C2211yescharacteristic, complemented
113#14582813C2211yescharacteristic, complemented
114#14582811C2211yescharacteristic, complemented
115#14582808C2211yescharacteristic
116#14582807C2211yescharacteristic
117#14582807C2211yescharacteristic
118#14582807C2211yescharacteristic, complemented
119#14582807C2211yescharacteristic, complemented
120#14582807C2211yescharacteristic, complemented
121#14582799C2211yescharacteristic, complemented
122#14582797C2211yescharacteristic, complemented
123#14582794C2211yescharacteristic, complemented
124#14582793C2211yescharacteristic, complemented
125#14582793C2211yescharacteristic, complemented
126#14582792C2211yescharacteristic, complemented
127#14582790C2211yescharacteristic, complemented
128#14582790C2211yescharacteristic, complemented
129#14582788C2211yescharacteristic, complemented
130#14582785C2211yescharacteristic, complemented
131#14582783C2211yescharacteristic, complemented
132#14582781C2211yescharacteristic, complemented
133#14582778C2211yescharacteristic, complemented
134#14582777C2211yescharacteristic
135#14582777C2211yescharacteristic
136#14582777C2211yescharacteristic
137#14582777C2211yescharacteristic
138#14582777C2211yescharacteristic, complemented
139#14582775C2211yescharacteristic
140#14582775C2211yescharacteristic
141#14582775C2211yescharacteristic
142#14582775C2211yescharacteristic
143#14582775C2211yescharacteristic, complemented
144#14582775C2211yescharacteristic, complemented
145#14582775C2211yescharacteristic, complemented
146#14582775C2211yescharacteristic, complemented
147#14582775C2211yescharacteristic, complemented
148#14582773C2211yescharacteristic, complemented
149#14582773C2211yescharacteristic, complemented
150#14582773C2211yescharacteristic, complemented
151#14582773C2211yescharacteristic, complemented
152#14582773C2211yescharacteristic, complemented
153#14582773C2211yescharacteristic, complemented
154#14582772C2211yescharacteristic, complemented
155#14582772C2211yescharacteristic, complemented
156#14582770C2211yescharacteristic, complemented
157#14582770C2211yescharacteristic, complemented
158#14582770C2211yescharacteristic, complemented
159#14582770C2211yescharacteristic, complemented
160#14582758C2211yescharacteristic, complemented
161#14582756C2211yescharacteristic, complemented
162#14582754C2211yescharacteristic
163#14582754C2211yescharacteristic, complemented
164#14582754C2211yescharacteristic, complemented
165C4⋊C4×Dic43C2211yescharacteristic, complemented
166#14582750C2211yescharacteristic, complemented
167C22⋊C4×Dic43C2211yescharacteristic, complemented
168C22⋊C4×Dic43C2211yescharacteristic, complemented
169C22⋊C4×Dic43C2211yescharacteristic, complemented
170C22⋊C4×Dic43C2211yescharacteristic, complemented
171#14582746C2211yescharacteristic, complemented
172#14582746C2211yescharacteristic, complemented
173#14582746C2211yescharacteristic, complemented
174#14582746C2211yescharacteristic, complemented
175#14582744C2211yescharacteristic, complemented
176C2×#123×C43C2211yescharacteristic, complemented
177C2×#121×C43C2211yescharacteristic, complemented
178C2×C4×D4×C43C2211yescharacteristic, complemented
179C2×C4×D4×C43C2211yescharacteristic, complemented
180C43×#396C2211yescharacteristic, complemented
181C43×#392C2211yescharacteristic
182C43×#392C2211yescharacteristic, complemented
183C43×#392C2211yescharacteristic, complemented
184C43×#390C2211yescharacteristic, complemented
185C43×#388C2211yescharacteristic, complemented
186C43×#388C2211yescharacteristic, complemented
187C43×#387C2211yescharacteristic, complemented
188C43×#386C2211yescharacteristic, complemented
189C43×#386C2211yescharacteristic, complemented
190C43×#385C2211yescharacteristic, complemented
191C24×D43C2311yescharacteristic
192C24×D43C2311yescharacteristic
193C24×D43C2311yescharacteristic
194C2×#10621900—24no—
195C2×#10621900—24no—
196C2×#10621900—42no—
197C22×Dic86C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×D172C2311yescharacteristic
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
210C22×C22⋊D43C2311yescharacteristic
211C2×D4×D43—24no—
212C2×D4×D43—24no—
213C2×D4×D43—24no—
214C2×D4×D43—24no—
215C2×D4×D43—24no—
216C2×D4×D43—24no—
217C23×Dic43C2311yescharacteristic
218C23×Dic43C2311yescharacteristic
219C23×Dic43C2311yescharacteristic
220C23×Dic43C2311yescharacteristic
221C22×C4×D43—24no—
222C22×C4×D43—24no—
223C22×C4×D43—24no—
224C22×C4×D43—24no—
225C22×C4×D43—24no—
226C22×C4×D43—24no—
227C22×C4×D43—42no—
228C22×C4×D43—42no—
229C22×C4×D43—42no—
230C22×C4×D43C2311yescharacteristic
231C22×C4×D43C2311yescharacteristic
232C22×C4×D43C2311yescharacteristic
233C22×C4×D43C2311yescharacteristic
234C22×C4×D43C2311yescharacteristic
235C22×C4×D43C2311yescharacteristic
236C22×C4×D43C2311yescharacteristic
237C22×C4×D43C2311yescharacteristic
238C22×C4×D43C2311yescharacteristic
239C22×C4×D43C2311yescharacteristic
240C22×C4×D43C2311yescharacteristic
241C22×C4×D43C2311yescharacteristic
242C22×C4×D43C2311yescharacteristic
243C22×C4×D43C2311yescharacteristic
244#13063308—24no—
245#13063307—24no—
246#13063307—24no—
247#13063305—24no—
248#13063304—24no—
249#13063303—24no—
250#13063303—24no—
251#13063298—24no—
252#13063298—24no—
253#13063298—24no—
254#13063296—24no—
255#13063296—24no—
256#13063295—24no—
257#13063295—24no—
258#13063293—24no—
259#13063293—24no—
260#13063293—24no—
261#13063293—24no—
262#13063293—24no—
263C4×D172—24no—
264C4×D172—24no—
265D4×Dic43—24no—
266D4×Dic43—24no—
267D4×Dic43—24no—
268D4×Dic43—24no—
269D4×Dic43—42no—
270#13063287—24no—
271#13063287—24no—
272#13063287D418yescomplemented
273C4×C22⋊D43—24no—
274C4×C22⋊D43—24no—
275C4×C22⋊D43—24no—
276C4×C22⋊D43—24no—
277(C22⋊D43)⋊C4—24no—
278(C22⋊D43)⋊C4—24no—
279(C22⋊D43)⋊C4—24no—
280(C22⋊D43)⋊C4—24no—
281(C22⋊D43)⋊C4—24no—
282(C22⋊D43)⋊C4—24no—
283(C22⋊D43)⋊C4—42no—
284(C22⋊D43)⋊C4D418yescomplemented
285#13063283—24no—
286#13063281—24no—
287C2×C4⋊Dic43C2311yescharacteristic
288C2×C4⋊Dic43C2311yescharacteristic
289C2×C4⋊Dic43C2311yescharacteristic
290C2×C4⋊Dic43C2311yescharacteristic
291C2×C4⋊Dic43C2311yescharacteristic
292C2×C4⋊Dic43C2311yescharacteristic
293C2×C4⋊Dic43C2311yescharacteristic
294C2×Dic43⋊C4C2311yescharacteristic
295C2×Dic43⋊C4C2311yescharacteristic
296C2×Dic43⋊C4C2311yescharacteristic
297C2×Dic43⋊C4C2311yescharacteristic
298C2×Dic43⋊C4C2311yescharacteristic
299C2×Dic43⋊C4C2311yescharacteristic
300C2×Dic43⋊C4C2311yescharacteristic
301C2×Dic43⋊C4C2311yescharacteristic
302C2×Dic43⋊C4C2311yescharacteristic
303C2×Dic43⋊C4C2311yescharacteristic
304C2×Dic43⋊C4C2311yescharacteristic
305C2×Dic43⋊C4C2311yescharacteristic
306C4⋊C4×D43—24no—
307C4⋊C4×D43—24no—
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×C22⋊Dic43C2311yescharacteristic
320C2×C22⋊Dic43C2311yescharacteristic
321C2×C22⋊Dic43C2311yescharacteristic
322C2×C22⋊Dic43C2311yescharacteristic
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×(C2×D43)⋊C4C2311yescharacteristic
334C2×(C2×D43)⋊C4C2311yescharacteristic
335C2×(C2×D43)⋊C4C2311yescharacteristic
336C2×(C2×D43)⋊C4C2311yescharacteristic
337C2×(C2×D43)⋊C4C2311yescharacteristic
338C2×(C2×D43)⋊C4C2311yescharacteristic
339C2×(C2×D43)⋊C4C2311yescharacteristic
340C2×(C2×D43)⋊C4C2311yescharacteristic
341C2×(C2×D43)⋊C4C2311yescharacteristic
342C2×(C2×D43)⋊C4C2311yescharacteristic
343C2×(C2×D43)⋊C4C2311yescharacteristic
344C2×(C2×D43)⋊C4C2311yescharacteristic
345C2×(C2×D43)⋊C4C2311yescharacteristic
346C2×(C2×D43)⋊C4C2311yescharacteristic
347C22⋊C4×D43—24no—
348C22⋊C4×D43—24no—
349C22⋊C4×D43—24no—
350C22⋊C4×D43—24no—
351C2×C4×Dic43C2311yescharacteristic
352C2×C4×Dic43C2311yescharacteristic
353C2×C4×Dic43C2311yescharacteristic
354C2×C4×Dic43C2311yescharacteristic
355C2×C4×Dic43C2311yescharacteristic
356C2×C4×Dic43C2311yescharacteristic
357C2×C4×Dic43C2311yescharacteristic
358C2×C4×Dic43C2311yescharacteristic
359C2×C4×Dic43C2311yescharacteristic
360C42×D43—24no—
361C42×D43—24no—
362C43⋊#95C2311yescharacteristic
363C43⋊#95C2311yescharacteristic
364C43⋊#95C2311yescharacteristic
365C43⋊#95C2311yescharacteristic
366C43⋊#95C2311yescharacteristic
367C43⋊#95C2311yescharacteristic
368C43⋊#95C2311yescharacteristic
369C43⋊#95C2311yescharacteristic
370C43⋊#95C2311yescharacteristic
371C43⋊#95C2311yescharacteristic
372C43⋊#95C2311yescharacteristic
373C43⋊#95C2311yescharacteristic
374C43⋊#95C2311yescharacteristic
375C43⋊#95C2311yescharacteristic
376C43⋊#95C2311yescharacteristic
377C43⋊#95C2311yescharacteristic
378C43⋊#95C2311yescharacteristic
379C43⋊#95C2311yescharacteristic
380C22×D4×C43C2311yescharacteristic
381C22×D4×C43C2311yescharacteristic
382C22×D4×C43C2311yescharacteristic
383C22×D4×C43C2311yescharacteristic
384C22×D4×C43C2311yescharacteristic
385C22×D4×C43C2311yescharacteristic
386C23×C4×C43C2311yescharacteristic
387C23×C4×C43C2311yescharacteristic
388C23×C4×C43C2311yescharacteristic
389#123×C43—24no—
390#121×C43—24no—
391C4×D4×C43—24no—
392C4×D4×C43—24no—
393C2×C4⋊C4×C43C2311yescharacteristic
394C2×C4⋊C4×C43C2311yescharacteristic
395C2×C4⋊C4×C43C2311yescharacteristic
396C2×C4⋊C4×C43C2311yescharacteristic
397C2×C4⋊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×C22⋊C4×C43C2311yescharacteristic
409C2×C22⋊C4×C43C2311yescharacteristic
410C2×C22⋊C4×C43C2311yescharacteristic
411C2×C42×C43C2311yescharacteristic
412C2×C42×C43C2311yescharacteristic
413#95×C43C2311yescharacteristic
414#95×C43C2311yescharacteristic
415#95×C43C2311yescharacteristic
416#95×C43C2311yescharacteristic
417#95×C43C2311yescharacteristic
418#95×C43C2311yescharacteristic
419C24×C43C2411yescharacteristic
420C24×C43C2411yescharacteristic
421C24×C43C2411yescharacteristic
422C24×C43C2411yescharacteristic
423C23×D43—22no—
424C23×D43—22no—
425C23×D43—22no—
426C23×D43—22no—
427C23×D43—22no—
428C23×D43—22no—
429C23×D43—22no—
430C23×D43—22no—
431C23×D43—22no—
432C23×D43—22no—
433C23×D43—22no—
434C23×D43—22no—
435C23×D43—22no—
436C23×D43—22no—
437C23×D43—41no—
438C23×D43—41no—
439C23×D43—41no—
440C23×D43—41no—
441C23×D43—41no—
442C23×D43—41no—
443C23×D43#4114yescomplemented
444C23×D43C2411yescharacteristic
445C23×D43C2411yescharacteristic
446C23×D43C2411yescharacteristic
447C23×D43C2411yescharacteristic
448C2×D4×C43—22no—
449C2×D4×C43—22no—
450C2×D4×C43—22no—
451C2×D4×C43—22no—
452C2×D4×C43—22no—
453C2×D4×C43—22no—
454C2×D4×C43—22no—
455C2×D4×C43—22no—
456C2×D4×C43—22no—
457C2×D4×C43—22no—
458C2×D4×C43—22no—
459C2×D4×C43—22no—
460C2×D4×C43—22no—
461C2×D4×C43—41no—
462C2×D4×C43—41no—
463C2×D4×C43—41no—
464C2×D4×C43—41no—
465C2×D4×C43—41no—
466C22×C4×C43—22no—
467C22×C4×C43—22no—
468C22×C4×C43—22no—
469C22×C4×C43—22no—
470C22×C4×C43—22no—
471C22×C4×C43—22no—
472C22×C4×C43—41no—
473C22×C4×C43—41no—
474C22×C4×C43—41no—
475C22×C4×C43C2411yescharacteristic
476C22×C4×C43C2411yescharacteristic
477C22×C4×C43C2411yescharacteristic
478C22×C4×C43C2411yescharacteristic
479C22×C4×C43C2411yescharacteristic
480C22×C4×C43C2411yescharacteristic
481C22×C4×C43C2411yescharacteristic
482C22×C4×C43C2411yescharacteristic
483C22×C4×C43C2411yescharacteristic
484C22×C4×C43C2411yescharacteristic
485C22×C4×C43C2411yescharacteristic
486C2×C22⋊D43—22no—
487C2×C22⋊D43—22no—
488C2×C22⋊D43—22no—
489C2×C22⋊D43—22no—
490C2×C22⋊D43—22no—
491C2×C22⋊D43—22no—
492C2×C22⋊D43—22no—
493C2×C22⋊D43—22no—
494C2×C22⋊D43—22no—
495C2×C22⋊D43—22no—
496C2×C22⋊D43—22no—
497C2×C22⋊D43—22no—
498C2×C22⋊D43—22no—
499C2×C22⋊D43—22no—
500C2×C22⋊D43—22no—
501C2×C22⋊D43—22no—
502C2×C22⋊D43—22no—
503C2×C22⋊D43—22no—
504C2×C22⋊D43—22no—
505C2×C22⋊D43—22no—
506C2×C22⋊D43—22no—
507C2×C22⋊D43—22no—
508C2×C22⋊D43—22no—
509C2×C22⋊D43—22no—
510C2×C22⋊D43—41no—
511C2×C22⋊D43—41no—
512C2×C22⋊D43—41no—
513C2×C22⋊D43—41no—
514C2×C22⋊D43C2×D414yes—
515C2×C22⋊D43#4114yescomplemented
516C22×Dic43—22no—
517C22×Dic43—22no—
518C22×Dic43—22no—
519C22×Dic43—22no—
520C22×Dic43—22no—
521C22×Dic43—22no—
522C22×Dic43—22no—
523C22×Dic43—22no—
524C22×Dic43—22no—
525C22×Dic43—22no—
526C22×Dic43—22no—
527C22×Dic43C2×D414yescomplemented
528C22×Dic43C2411yescharacteristic
529C22×Dic43C2411yescharacteristic
530C22×Dic43C2411yescharacteristic
531C22×Dic43C2411yescharacteristic
532C22×Dic43C2411yescharacteristic
533C22×Dic43C2411yescharacteristic
534C22×Dic43C2411yescharacteristic
535C22×Dic43C2411yescharacteristic
536C22×Dic43C2411yescharacteristic
537C22×Dic43C2411yescharacteristic
538C22×Dic43C2411yescharacteristic
539C22×Dic43C2411yescharacteristic
540#10621900—416no—
541D4×D43—232no—
542D4×D43—232no—
543C2×D172—22no—
544C2×D172—22no—
545C2×D172—22no—
546C2×D172—22no—
547C2×D172—22no—
548C2×D172—22no—
549C2×D172—41no—
550C2×D172C2×D414yes—
551C2×D172#4114yescomplemented
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—22no—
560C2×C4×D43—22no—
561C2×C4×D43—22no—
562C2×C4×D43—22no—
563C2×C4×D43—22no—
564C2×C4×D43—22no—
565C2×C4×D43—22no—
566C2×C4×D43—22no—
567C2×C4×D43—22no—
568C2×C4×D43—22no—
569C2×C4×D43—22no—
570C2×C4×D43—22no—
571C2×C4×D43—22no—
572C2×C4×D43—22no—
573C2×C4×D43—22no—
574C2×C4×D43—22no—
575C2×C4×D43—22no—
576C2×C4×D43—22no—
577C2×C4×D43—22no—
578C2×C4×D43—22no—
579C2×C4×D43—22no—
580C2×C4×D43—22no—
581C2×C4×D43—22no—
582C2×C4×D43—22no—
583C2×C4×D43—41no—
584C2×C4×D43—41no—
585C2×C4×D43—41no—
586C2×C4×D43—41no—
587C2×C4×D43—41no—
588C2×C4×D43—41no—
589C2×C4×D43—41no—
590C2×C4×D43—41no—
591C2×C4×D43—416no—
592C2×C4×D43—416no—
593C2×C4×D43—416no—
594C2×C4×D43C2×D414yes—
595C2×C4×D43C2×D414yes—
596C2×C4×D43C2×D414yescomplemented
597C2×Dic86—22no—
598C2×Dic86—22no—
599C2×Dic86—41no—
600C4⋊C4×C43—22no—
601C4⋊C4×C43—22no—
602C4⋊C4×C43—22no—
603C4⋊C4×C43—41no—
604C4⋊C4×C43C2×D414yescomplemented
605C22⋊C4×C43—22no—
606C22⋊C4×C43—22no—
607C22⋊C4×C43—22no—
608C22⋊C4×C43—22no—
609C22⋊C4×C43—22no—
610C22⋊C4×C43—22no—
611C22⋊C4×C43—22no—
612C22⋊C4×C43—22no—
613C22⋊C4×C43—22no—
614C22⋊C4×C43—41no—
615C22⋊C4×C43—41no—
616C22⋊C4×C43—41no—
617C22⋊C4×C43C2×D414yescomplemented
618C42×C43—22no—
619C42×C43—22no—
620C22⋊Dic43—22no—
621C22⋊Dic43—22no—
622C22⋊Dic43—22no—
623C22⋊Dic43—22no—
624C22⋊Dic43—22no—
625C22⋊Dic43—22no—
626C22⋊Dic43—22no—
627C22⋊Dic43—22no—
628C22⋊Dic43—22no—
629C22⋊Dic43—22no—
630C22⋊Dic43—22no—
631C22⋊Dic43—22no—
632C22⋊Dic43—22no—
633C22⋊Dic43—41no—
634C22⋊Dic43—41no—
635(C2×D43)⋊C4—22no—
636(C2×D43)⋊C4—22no—
637(C2×D43)⋊C4—22no—
638(C2×D43)⋊C4—22no—
639(C2×D43)⋊C4—22no—
640(C2×D43)⋊C4—22no—
641(C2×D43)⋊C4—22no—
642(C2×D43)⋊C4—22no—
643(C2×D43)⋊C4—22no—
644(C2×D43)⋊C4—22no—
645(C2×D43)⋊C4—22no—
646(C2×D43)⋊C4—22no—
647(C2×D43)⋊C4—22no—
648(C2×D43)⋊C4—22no—
649(C2×D43)⋊C4—22no—
650(C2×D43)⋊C4—22no—
651(C2×D43)⋊C4—22no—
652(C2×D43)⋊C4—22no—
653(C2×D43)⋊C4—22no—
654(C2×D43)⋊C4—41no—
655(C2×D43)⋊C4—41no—
656(C2×D43)⋊C4C2×D414yes—
657(C2×D43)⋊C4C2×D414yes—
658(C2×D43)⋊C4C2×D414yescomplemented
659C4⋊Dic43—22no—
660C4⋊Dic43—22no—
661C4⋊Dic43—22no—
662C4⋊Dic43—22no—
663C4⋊Dic43—22no—
664C4⋊Dic43—22no—
665C4⋊Dic43—41no—
666Dic43⋊C4—22no—
667Dic43⋊C4—22no—
668Dic43⋊C4—22no—
669Dic43⋊C4—22no—
670Dic43⋊C4—22no—
671Dic43⋊C4—22no—
672Dic43⋊C4—22no—
673Dic43⋊C4—22no—
674Dic43⋊C4—22no—
675Dic43⋊C4—41no—
676Dic43⋊C4—41no—
677Dic43⋊C4C2×D414yescomplemented
678C4×Dic43—22no—
679C4×Dic43—22no—
680C4×Dic43—22no—
681C4×Dic43—22no—
682C4×Dic43—22no—
683C4×Dic43—22no—
684C4×Dic43—22no—
685C4×Dic43C2×D414yescomplemented
686C4×Dic43C2×D414yescomplemented
687C23×C43—21no—
688C23×C43—21no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43—21no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43—21no—
696C23×C43—21no—
697C23×C43—21no—
698C23×C43—21no—
699C23×C43—21no—
700C23×C43—21no—
701C23×C43—21no—
702C23×C43—21no—
703C23×C43—21no—
704C23×C43—21no—
705C23×C43—21no—
706C23×C43—21no—
707C23×C43—21no—
708C23×C43—21no—
709C23×C43—21no—
710C23×C43—21no—
711C23×C43—21no—
712C23×C43C22×D412yes—
713C23×C43C2×#4112yes—
714C23×C43C2×#4112yes—
715C23×C43C2511yescharacteristic
716C22×D43—21no—
717C22×D43—21no—
718C22×D43—21no—
719C22×D43—21no—
720C22×D43—21no—
721C22×D43—21no—
722C22×D43—21no—
723C22×D43—21no—
724C22×D43—28no—
725C22×D43—28no—
726C22×D43—21no—
727C22×D43—21no—
728C22×D43—21no—
729C22×D43—21no—
730C22×D43—21no—
731C22×D43—21no—
732C22×D43—21no—
733C22×D43—21no—
734C22×D43—21no—
735C22×D43—21no—
736C22×D43—21no—
737C22×D43—21no—
738C22×D43—28no—
739C22×D43—28no—
740C22×D43—44no—
741C22×D43—44no—
742C22×D43—44no—
743C22×D43—44no—
744C22×D43—44no—
745C22×D43—44no—
746C22×D43—44no—
747C22×D43—44no—
748C22×D43—44no—
749C22×D43—44no—
750C22×D43—44no—
751C22×D43—44no—
752C22×D43—44no—
753C22×D43—44no—
754C22×D43—44no—
755C22×D43—44no—
756C22×D43—44no—
757C22×D43C22×D412yes—
758C22×D43C22×D412yes—
759C22×D43C22×D412yes—
760C22×D43C2×#4112yes—
761C22×D43C2×#4112yes—
762C22×D43C2×#4112yes—
763C22×D43C2×#4112yes—
764C22×D43C2×#4112yes—
765D4×C43—28no—
766D4×C43—28no—
767D4×C43—44no—
768D4×C43—44no—
769D4×C43—44no—
770D4×C43—44no—
771C2×C4×C43—21no—
772C2×C4×C43—21no—
773C2×C4×C43—21no—
774C2×C4×C43—21no—
775C2×C4×C43—21no—
776C2×C4×C43—21no—
777C2×C4×C43—21no—
778C2×C4×C43—21no—
779C2×C4×C43—21no—
780C2×C4×C43—21no—
781C2×C4×C43—21no—
782C2×C4×C43—21no—
783C2×C4×C43—21no—
784C2×C4×C43—21no—
785C2×C4×C43—21no—
786C2×C4×C43—21no—
787C2×C4×C43—21no—
788C2×C4×C43—21no—
789C2×C4×C43—21no—
790C2×C4×C43—21no—
791C2×C4×C43—21no—
792C2×C4×C43—21no—
793C2×C4×C43—21no—
794C2×C4×C43—21no—
795C2×C4×C43—21no—
796C2×C4×C43—21no—
797C2×C4×C43—21no—
798C2×C4×C43—44no—
799C2×C4×C43—44no—
800C2×C4×C43—44no—
801C2×C4×C43C22×D412yes—
802C2×C4×C43C22×D412yes—
803C2×C4×C43C22×D412yes—
804C2×C4×C43C22×D412yes—
805C2×C4×C43C22×D412yes—
806C2×C4×C43C2×#4112yes—
807C22⋊D43—28no—
808C22⋊D43—28no—
809C22⋊D43—28no—
810C22⋊D43—28no—
811C22⋊D43—44no—
812C22⋊D43—44no—
813C22⋊D43—44no—
814C22⋊D43—44no—
815C22⋊D43—44no—
816C22⋊D43—44no—
817C2×Dic43—21no—
818C2×Dic43—21no—
819C2×Dic43—21no—
820C2×Dic43—21no—
821C2×Dic43—21no—
822C2×Dic43—21no—
823C2×Dic43—21no—
824C2×Dic43—21no—
825C2×Dic43—28no—
826C2×Dic43—21no—
827C2×Dic43—21no—
828C2×Dic43—21no—
829C2×Dic43—21no—
830C2×Dic43—21no—
831C2×Dic43—21no—
832C2×Dic43—21no—
833C2×Dic43—21no—
834C2×Dic43—21no—
835C2×Dic43—21no—
836C2×Dic43—21no—
837C2×Dic43—21no—
838C2×Dic43—21no—
839C2×Dic43—21no—
840C2×Dic43—21no—
841C2×Dic43—21no—
842C2×Dic43—21no—
843C2×Dic43—21no—
844C2×Dic43—21no—
845C2×Dic43—21no—
846C2×Dic43—21no—
847C2×Dic43—44no—
848C2×Dic43—44no—
849C2×Dic43—44no—
850C2×Dic43C22×D412yes—
851C2×Dic43C22×D412yes—
852C2×Dic43C22×D412yes—
853C2×Dic43C22×D412yes—
854C2×Dic43C22×D412yes—
855C2×Dic43C2×#4112yes—
856C2×Dic43H(5,𝔽2)12yes—
857D172—28no—
858D172—28no—
859D172—44no—
860C4×D43—28no—
861C4×D43—28no—
862C4×D43—28no—
863C4×D43—28no—
864C4×D43—28no—
865C4×D43—44no—
866C4×D43—44no—
867C4×D43—44no—
868C4×D43—44no—
869C4×D43—44no—
870C4×D43—44no—
871C4×D43—44no—
872C4×D43—44no—
873C4×D43—44no—
874Dic86—44no—
875#34655—431nomaximal, Sylow
876C22×C43—22no—
877C22×C43—22no—
878C22×C43—22no—
879C22×C43—22no—
880C22×C43—22no—
881C22×C43—22no—
882C22×C43—22no—
883C22×C43—22no—
884C22×C43—22no—
885C22×C43—41no—
886C22×C43—41no—
887C22×C43—41no—
888C22×C43—41no—
889C22×C43—41no—
890C22×C43—41no—
891C22×C43—41no—
892C22×C43—41no—
893C22×C43—41no—
894C22×C43—41no—
895C22×C43—41no—
896C22×C43—41no—
897C22×C43—41no—
898C22×C43—41no—
899C22×C43—41no—
900C22×C43—41no—
901C22×C43—41no—
902C22×C43—41no—
903C22×C43—41no—
904C22×C43C23×D411yescharacteristic
905C22×C43C23×D411yescharacteristic
906C22×C43C22×#4111yescharacteristic
907C22×C43C22×#4111yescharacteristic
908C22×C43C22×#4111yescharacteristic
909C22×C43C2×H(5,𝔽2)11yescharacteristic
910C22×C43#58511yescharacteristic
911C2×D43—22no—
912C2×D43—22no—
913C2×D43—22no—
914C2×D43—22no—
915C2×D43—22no—
916C2×D43—22no—
917C2×D43—22no—
918C2×D43—22no—
919C2×D43—22no—
920C2×D43—22no—
921C2×D43—22no—
922C2×D43—22no—
923C2×D43—22no—
924C2×D43—22no—
925C2×D43—22no—
926C2×D43—22no—
927C2×D43—22no—
928C2×D43—22no—
929C2×D43—416no—
930C2×D43—416no—
931C2×D43—416no—
932C2×D43—41no—
933C2×D43—41no—
934C2×D43—41no—
935C2×D43—41no—
936C2×D43—41no—
937C2×D43—41no—
938C2×D43—41no—
939C2×D43—41no—
940C2×D43#52514yescomplemented
941C2×D43#52514yescomplemented
942C4×C43—22no—
943C4×C43—22no—
944C4×C43—22no—
945C4×C43—22no—
946C4×C43—22no—
947C4×C43—22no—
948C4×C43—41no—
949C4×C43—41no—
950C4×C43—41no—
951C4×C43—41no—
952C4×C43—41no—
953Dic43—22no—
954Dic43—22no—
955Dic43—22no—
956Dic43—22no—
957Dic43—41no—
958Dic43—41no—
959Dic43—41no—
960Dic43—41no—
961Dic43—41no—
962Dic43—41no—
963Dic43—41no—
964Dic43D4214yes—
965C2×#525—431no—
966C2×#525—431no—
967C22×C4×D4—431no—
968C22×C4×D4—431no—
969#2463—431no—
970#2456—431no—
971#2456D4311yescharacteristic, complemented
972#2455—431no—
973#2449—431no—
974#2449—431no—
975#2443—431no—
976#2443—431no—
977#2437—431no—
978#2424—431no—
979#2424—431no—
980#2418—431no—
981#2418—431no—
982#2410—431no—
983#2410—431no—
984#2403—431no—
985#2397—431no—
986#2392—431no—
987#2392—431no—
988#2388—431no—
989C4×#121—431no—
990C4×#121—431no—
991C4×#120—431no—
992C4×#120—431no—
993C4×#120—431no—
994#2290—431no—
995#2290—431no—
996C2×C43—42no—
997C2×C43—42no—
998C2×C43—42no—
999C2×C43—81no—
1000C2×C43C2×#52511yescharacteristic
1001C2×C43C2×#52511yescharacteristic
1002C2×C43#345911yescharacteristic
1003C2×C43C2×D4211yescharacteristic
1004C2×C43D4×#4111yescharacteristic
1005C2×C43D4×#4111yescharacteristic
1006C2×C43#348111yescharacteristic
1007D43—24no—
1008D43—24no—
1009D43—42no—
1010D43—42no—
1011C22×#41—431no—
1012C23×D4—431no—
1013C23×D4—431no—
1014C24×C4—431no—
1015C24×C4—431no—
1016C24×C4—431no—
1017#525—868no—
1018#525—868no—
1019C2×#123—431no—
1020C2×#123—431no—
1021C2×#123—431no—
1022C2×#123C2×D4311yescharacteristic, complemented
1023C2×C22⋊Q8—431no—
1024C2×C22⋊Q8—431no—
1025C2×C22⋊Q8—431no—
1026C2×C22⋊Q8—431no—
1027C2×#121—431no—
1028C2×#121—431no—
1029C2×#121—431no—
1030C2×#121—431no—
1031C2×#121—431no—
1032C2×#121C2×D4311yescharacteristic, complemented
1033C2×#120—431no—
1034C2×#120—431no—
1035C2×#120—431no—
1036C2×#120—431no—
1037C2×#120—431no—
1038C2×#120—431no—
1039C2×#120—431no—
1040C2×C4×D4—431no—
1041C2×C4×D4—431no—
1042C2×C4×D4—431no—
1043C2×C4×D4—431no—
1044C2×C4×D4—431no—
1045C2×C4×D4—431no—
1046C2×C4×D4—431no—
1047C2×C4×D4—431no—
1048C2×C4×D4—431no—
1049C2×C4×D4—431no—
1050C2×C4×D4—431no—
1051C2×C4×D4—431no—
1052C2×C4×D4—431no—
1053C2×C4×D4—431no—
1054C2×C4×D4—431no—
1055C2×C4×D4—431no—
1056C2×C4×D4—431no—
1057C2×C4×D4—431no—
1058C2×C4×D4—431no—
1059C2×C4×D4—431no—
1060C2×C4×D4—431no—
1061C2×C4×D4—431no—
1062C2×C4×D4—868no—
1063C2×C4×D4—868no—
1064C2×C4×D4C2×D4311yescharacteristic, complemented
1065C2×C4×D4C2×D4311yescharacteristic, complemented
1066C2×#117—431no—
1067C2×#117—431no—
1068C22×C4⋊C4—431no—
1069C22×C4⋊C4—431no—
1070C22×C22⋊C4—431no—
1071C22×C22⋊C4—431no—
1072C22×C22⋊C4—431no—
1073C22×C22⋊C4—431no—
1074C22×C42—431no—
1075C22×C42—431no—
1076#399—431no—
1077#399—431no—
1078#399—431no—
1079#399—431no—
1080#398—431no—
1081#398—431no—
1082#397—431no—
1083#397—431no—
1084#396—431no—
1085#396—431no—
1086#396—431no—
1087#396C2×D4311yescharacteristic, complemented
1088#395—431no—
1089#394—431no—
1090#394—431no—
1091#394—431no—
1092#394—431no—
1093#394—431no—
1094#394—431no—
1095#394—431no—
1096#394—431no—
1097#394—431no—
1098#393—431no—
1099#392—431no—
1100#392—431no—
1101#392—431no—
1102#392—431no—
1103#392—431no—
1104#392—431no—
1105#392C2×D4311yescharacteristic
1106#392C2×D4311yescharacteristic, complemented
1107#392C2×D4311yescharacteristic, complemented
1108#390—431no—
1109#390C2×D4311yescharacteristic, complemented
1110#389—431no—
1111#389—431no—
1112#388—431no—
1113#388—431no—
1114#388—431no—
1115#388—431no—
1116#388—431no—
1117#388—431no—
1118#388C2×D4311yescharacteristic, complemented
1119#388C2×D4311yescharacteristic, complemented
1120#387—431no—
1121#387—431no—
1122#387—431no—
1123#387C2×D4311yescharacteristic, complemented
1124#386—431no—
1125#386—431no—
1126#386—431no—
1127#386—431no—
1128#386—431no—
1129#386—431no—
1130#386—431no—
1131#386—431no—
1132#386—431no—
1133#386—431no—
1134#386—431no—
1135#386—431no—
1136#386—431no—
1137#386—431no—
1138#386—431no—
1139#386C2×D4311yescharacteristic, complemented
1140#386C2×D4311yescharacteristic, complemented
1141#385—431no—
1142#385—431no—
1143#385—431no—
1144#385—431no—
1145#385—431no—
1146#385—431no—
1147#385—431no—
1148#385—431no—
1149#385—431no—
1150#385—431no—
1151#385—431no—
1152#385—431no—
1153#385C2×D4311yescharacteristic, complemented
1154#380—431no—
1155#380—431no—
1156#379—431no—
1157#379—431no—
1158#379—431no—
1159C4×C4⋊C4—431no—
1160C4×C4⋊C4—431no—
1161C4×C22⋊C4—431no—
1162C4×C22⋊C4—431no—
1163C4×C22⋊C4—431no—
1164C4×C22⋊C4—431no—
1165C4×C22⋊C4—431no—
1166C4×C22⋊C4—431no—
1167C4×C22⋊C4—431no—
1168C4×C22⋊C4—431no—
1169#376—431no—
1170C43#3465511yescharacteristic, complemented, Sylow
1171C25—431no—
1172C25—431no—
1173C25—431no—
1174C2×#41—864no—
1175C2×#41—864no—
1176C2×#41—1722no—
1177C22×Q8—431no—
1178C22×D4—431no—
1179C22×D4—431no—
1180C22×D4—431no—
1181C22×D4—431no—
1182C22×D4—431no—
1183C22×D4—431no—
1184C22×D4—431no—
1185C22×D4—431no—
1186C22×D4—431no—
1187C22×D4—431no—
1188C22×D4—431no—
1189C22×D4—431no—
1190C22×D4—431no—
1191C22×D4—864no—
1192C22×D4—864no—
1193C22×D4—864no—
1194C22×D4—864no—
1195C22×D4—864no—
1196C22×D4—864no—
1197C22×D4C22×D4311yescharacteristic
1198C22×D4C22×D4311yescharacteristic
1199C22×D4C22×D4311yescharacteristic
1200C22×D4C22×D4311yescharacteristic
1201C22×D4C22×D4311yescharacteristic
1202C22×D4C22×D4311yescharacteristic
1203C23×C4—431no—
1204C23×C4—431no—
1205C23×C4—431no—
1206C23×C4—431no—
1207C23×C4—431no—
1208C23×C4—431no—
1209C23×C4—431no—
1210C23×C4—431no—
1211C23×C4—431no—
1212C23×C4—431no—
1213C23×C4—431no—
1214C23×C4—431no—
1215C23×C4—431no—
1216C23×C4—431no—
1217C23×C4—431no—
1218C23×C4—431no—
1219C23×C4—431no—
1220C23×C4—431no—
1221C23×C4—864no—
1222C23×C4—864no—
1223C23×C4—864no—
1224C23×C4—864no—
1225C23×C4—864no—
1226C23×C4—864no—
1227C23×C4—1722no—
1228C23×C4—1722no—
1229C23×C4—1722no—
1230C23×C4C22×D4311yescharacteristic
1231C23×C4C22×D4311yescharacteristic
1232C23×C4C22×D4311yescharacteristic
1233#123—24no—
1234#123—864no—
1235#123—864no—
1236#123—864no—
1237C22⋊Q8—864no—
1238C22⋊Q8—864no—
1239C22⋊Q8—864no—
1240C22⋊Q8—864no—
1241#121—24no—
1242#121—864no—
1243#121—864no—
1244#121—864no—
1245#121—864no—
1246#121—864no—
1247#120—864no—
1248#120—864no—
1249#120—864no—
1250#120—864no—
1251#120—864no—
1252#120—864no—
1253#120—864no—
1254C4×D4—24no—
1255C4×D4—24no—
1256C4×D4—438no—
1257C4×D4—438no—
1258C4×D4—864no—
1259C4×D4—864no—
1260C4×D4—864no—
1261C4×D4—864no—
1262C4×D4—864no—
1263C4×D4—864no—
1264C4×D4—864no—
1265C4×D4—864no—
1266C4×D4—864no—
1267C4×D4—864no—
1268C4×D4—864no—
1269C4×D4—864no—
1270C4×D4—864no—
1271C4×D4—864no—
1272C4×D4—864no—
1273C4×D4—864no—
1274C4×D4—864no—
1275C4×D4—864no—
1276C4×D4—1722no—
1277C4×D4—1722no—
1278#117—864no—
1279#117—864no—
1280C2×C4⋊C4—431no—
1281C2×C4⋊C4—431no—
1282C2×C4⋊C4—431no—
1283C2×C4⋊C4—431no—
1284C2×C4⋊C4—431no—
1285C2×C4⋊C4—431no—
1286C2×C4⋊C4—431no—
1287C2×C4⋊C4—431no—
1288C2×C4⋊C4—431no—
1289C2×C4⋊C4—431no—
1290C2×C4⋊C4—431no—
1291C2×C4⋊C4—431no—
1292C2×C4⋊C4—431no—
1293C2×C4⋊C4—431no—
1294C2×C4⋊C4—431no—
1295C2×C4⋊C4—431no—
1296C2×C4⋊C4—431no—
1297C2×C4⋊C4—431no—
1298C2×C4⋊C4—431no—
1299C2×C4⋊C4—864no—
1300C2×C4⋊C4—864no—
1301C2×C4⋊C4C22×D4311yescharacteristic
1302C2×C4⋊C4C22×D4311yescharacteristic
1303C2×C4⋊C4C22×D4311yescharacteristic
1304C2×C4⋊C4C22×D4311yescharacteristic
1305C2×C4⋊C4C22×D4311yescharacteristic
1306C2×C22⋊C4—431no—
1307C2×C22⋊C4—431no—
1308C2×C22⋊C4—431no—
1309C2×C22⋊C4—431no—
1310C2×C22⋊C4—431no—
1311C2×C22⋊C4—431no—
1312C2×C22⋊C4—431no—
1313C2×C22⋊C4—431no—
1314C2×C22⋊C4—431no—
1315C2×C22⋊C4—431no—
1316C2×C22⋊C4—431no—
1317C2×C22⋊C4—431no—
1318C2×C22⋊C4—431no—
1319C2×C22⋊C4—431no—
1320C2×C22⋊C4—431no—
1321C2×C22⋊C4—431no—
1322C2×C22⋊C4—431no—
1323C2×C22⋊C4—431no—
1324C2×C22⋊C4—431no—
1325C2×C22⋊C4—431no—
1326C2×C22⋊C4—431no—
1327C2×C22⋊C4—431no—
1328C2×C22⋊C4—431no—
1329C2×C22⋊C4—431no—
1330C2×C22⋊C4—431no—
1331C2×C22⋊C4—431no—
1332C2×C22⋊C4—431no—
1333C2×C22⋊C4—431no—
1334C2×C22⋊C4—431no—
1335C2×C22⋊C4—431no—
1336C2×C22⋊C4—431no—
1337C2×C22⋊C4—431no—
1338C2×C22⋊C4—431no—
1339C2×C22⋊C4—431no—
1340C2×C22⋊C4—431no—
1341C2×C22⋊C4—431no—
1342C2×C22⋊C4—431no—
1343C2×C22⋊C4—431no—
1344C2×C22⋊C4—431no—
1345C2×C22⋊C4—864no—
1346C2×C22⋊C4—864no—
1347C2×C22⋊C4—864no—
1348C2×C22⋊C4—864no—
1349C2×C22⋊C4C22×D4311yescharacteristic
1350C2×C22⋊C4C22×D4311yescharacteristic
1351C2×C22⋊C4C22×D4311yescharacteristic
1352C2×C22⋊C4C22×D4311yescharacteristic
1353C2×C22⋊C4C22×D4311yescharacteristic
1354C2×C22⋊C4C22×D4311yescharacteristic
1355C2×C22⋊C4C22×D4311yescharacteristic
1356C2×C22⋊C4C22×D4311yescharacteristic
1357C2×C22⋊C4C22×D4311yescharacteristic
1358C2×C22⋊C4C22×D4311yescharacteristic
1359C2×C22⋊C4C22×D4311yescharacteristic
1360C2×C22⋊C4C22×D4311yescharacteristic
1361C2×C22⋊C4C22×D4311yescharacteristic
1362C2×C42—431no—
1363C2×C42—431no—
1364C2×C42—431no—
1365C2×C42—431no—
1366C2×C42—431no—
1367C2×C42—431no—
1368C2×C42—431no—
1369C2×C42—431no—
1370C2×C42—431no—
1371C2×C42—864no—
1372C2×C42—864no—
1373C2×C42C22×D4311yescharacteristic
1374C2×C42C22×D4311yescharacteristic
1375#95—431no—
1376#95—431no—
1377#95—431no—
1378#95—431no—
1379#95—431no—
1380#95—431no—
1381#95—431no—
1382#95—431no—
1383#95—431no—
1384#95—431no—
1385#95—431no—
1386#95—431no—
1387#95—431no—
1388#95—431no—
1389#95—431no—
1390#95—431no—
1391#95—431no—
1392#95—431no—
1393#95C22×D4311yescharacteristic
1394#95C22×D4311yescharacteristic
1395#95C22×D4311yescharacteristic
1396#95C22×D4311yescharacteristic
1397#95C22×D4311yescharacteristic
1398#95C22×D4311yescharacteristic
1399C24—431no—
1400C24—431no—
1401C24—431no—
1402C24—431no—
1403C24—434no—
1404C24—862no—
1405C24—862no—
1406C24—862no—
1407C24—862no—
1408C24—862no—
1409C24—862no—
1410C24—862no—
1411C24—862no—
1412C24—862no—
1413C24—862no—
1414C24—862no—
1415C24—862no—
1416C24—862no—
1417C24—862no—
1418C24—1721no—
1419C24—1721no—
1420C24—1721no—
1421C24—1721no—
1422C24—1721no—
1423C24—1721no—
1424C24C23×D4311yescharacteristic
1425C24C23×D4311yescharacteristic
1426C24C23×D4311yescharacteristic
1427C24C23×D4311yescharacteristic
1428#41—17216no—
1429C2×Q8—862no—
1430C2×Q8—862no—
1431C2×Q8—1721no—
1432C2×D4—22no—
1433C2×D4—22no—
1434C2×D4—22no—
1435C2×D4—22no—
1436C2×D4—22no—
1437C2×D4—22no—
1438C2×D4—22no—
1439C2×D4—22no—
1440C2×D4—22no—
1441C2×D4—22no—
1442C2×D4—22no—
1443C2×D4—22no—
1444C2×D4—22no—
1445C2×D4—41no—
1446C2×D4—41no—
1447C2×D4—41no—
1448C2×D4—41no—
1449C2×D4—41no—
1450C2×D4—434no—
1451C2×D4—434no—
1452C2×D4—434no—
1453C2×D4—434no—
1454C2×D4—862no—
1455C2×D4—862no—
1456C2×D4—862no—
1457C2×D4—862no—
1458C2×D4—862no—
1459C2×D4—862no—
1460C2×D4—862no—
1461C2×D4—862no—
1462C2×D4—862no—
1463C2×D4—862no—
1464C2×D4—8632no—
1465C2×D4—8632no—
1466C2×D4—862no—
1467C2×D4—862no—
1468C2×D4—862no—
1469C2×D4—862no—
1470C2×D4—862no—
1471C2×D4—862no—
1472C2×D4—862no—
1473C2×D4—862no—
1474C2×D4—862no—
1475C2×D4—862no—
1476C2×D4—862no—
1477C2×D4—862no—
1478C2×D4—862no—
1479C2×D4—862no—
1480C2×D4—862no—
1481C2×D4—862no—
1482C2×D4—862no—
1483C2×D4—862no—
1484C2×D4—862no—
1485C2×D4—862no—
1486C2×D4—1721no—
1487C2×D4—1721no—
1488C2×D4—1721no—
1489C2×D4—1721no—
1490C2×D4—1721no—
1491C22×C4—22no—
1492C22×C4—22no—
1493C22×C4—22no—
1494C22×C4—22no—
1495C22×C4—22no—
1496C22×C4—22no—
1497C22×C4—41no—
1498C22×C4—41no—
1499C22×C4—41no—
1500C22×C4—431no—
1501C22×C4—434no—
1502C22×C4—431no—
1503C22×C4—431no—
1504C22×C4—431no—
1505C22×C4—431no—
1506C22×C4—434no—
1507C22×C4—434no—
1508C22×C4—434no—
1509C22×C4—431no—
1510C22×C4—431no—
1511C22×C4—431no—
1512C22×C4—431no—
1513C22×C4—431no—
1514C22×C4—431no—
1515C22×C4—431no—
1516C22×C4—862no—
1517C22×C4—862no—
1518C22×C4—862no—
1519C22×C4—862no—
1520C22×C4—862no—
1521C22×C4—862no—
1522C22×C4—862no—
1523C22×C4—862no—
1524C22×C4—862no—
1525C22×C4—862no—
1526C22×C4—862no—
1527C22×C4—862no—
1528C22×C4—862no—
1529C22×C4—862no—
1530C22×C4—862no—
1531C22×C4—862no—
1532C22×C4—862no—
1533C22×C4—862no—
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—1721no—
1559C22×C4—1721no—
1560C22×C4—1721no—
1561C22×C4—1721no—
1562C22×C4—1721no—
1563C22×C4—1721no—
1564C22×C4—1721no—
1565C22×C4—1721no—
1566C22×C4—17216no—
1567C22×C4—17216no—
1568C22×C4—17216no—
1569C22×C4C23×D4311yescharacteristic
1570C22×C4C23×D4311yescharacteristic
1571C22×C4C23×D4311yescharacteristic
1572C22×C4C23×D4311yescharacteristic
1573C22×C4C23×D4311yescharacteristic
1574C22×C4C23×D4311yescharacteristic
1575C22×C4C23×D4311yescharacteristic
1576C22×C4C23×D4311yescharacteristic
1577C22×C4C23×D4311yescharacteristic
1578C22×C4C23×D4311yescharacteristic
1579C22×C4C23×D4311yescharacteristic
1580C4⋊C4—22no—
1581C4⋊C4—22no—
1582C4⋊C4—22no—
1583C4⋊C4—41no—
1584C4⋊C4—434no—
1585C4⋊C4—862no—
1586C4⋊C4—862no—
1587C4⋊C4—862no—
1588C4⋊C4—862no—
1589C4⋊C4—862no—
1590C4⋊C4—862no—
1591C4⋊C4—862no—
1592C4⋊C4—862no—
1593C4⋊C4—862no—
1594C4⋊C4—862no—
1595C4⋊C4—862no—
1596C4⋊C4—862no—
1597C4⋊C4—862no—
1598C4⋊C4—862no—
1599C4⋊C4—862no—
1600C4⋊C4—1721no—
1601C4⋊C4—1721no—
1602C4⋊C4—1721no—
1603C4⋊C4D4×D4314yescomplemented
1604C22⋊C4—22no—
1605C22⋊C4—22no—
1606C22⋊C4—22no—
1607C22⋊C4—22no—
1608C22⋊C4—22no—
1609C22⋊C4—22no—
1610C22⋊C4—22no—
1611C22⋊C4—22no—
1612C22⋊C4—22no—
1613C22⋊C4—41no—
1614C22⋊C4—41no—
1615C22⋊C4—41no—
1616C22⋊C4—434no—
1617C22⋊C4—434no—
1618C22⋊C4—434no—
1619C22⋊C4—862no—
1620C22⋊C4—862no—
1621C22⋊C4—862no—
1622C22⋊C4—862no—
1623C22⋊C4—862no—
1624C22⋊C4—862no—
1625C22⋊C4—862no—
1626C22⋊C4—862no—
1627C22⋊C4—862no—
1628C22⋊C4—862no—
1629C22⋊C4—862no—
1630C22⋊C4—862no—
1631C22⋊C4—862no—
1632C22⋊C4—862no—
1633C22⋊C4—862no—
1634C22⋊C4—862no—
1635C22⋊C4—862no—
1636C22⋊C4—862no—
1637C22⋊C4—862no—
1638C22⋊C4—862no—
1639C22⋊C4—862no—
1640C22⋊C4—862no—
1641C22⋊C4—862no—
1642C22⋊C4—862no—
1643C22⋊C4—862no—
1644C22⋊C4—862no—
1645C22⋊C4—862no—
1646C22⋊C4—862no—
1647C22⋊C4—862no—
1648C22⋊C4—862no—
1649C22⋊C4—862no—
1650C22⋊C4—862no—
1651C22⋊C4—1721no—
1652C22⋊C4—1721no—
1653C22⋊C4—1721no—
1654C22⋊C4—1721no—
1655C22⋊C4D4×D4314yescomplemented
1656C42—22no—
1657C42—22no—
1658C42—434no—
1659C42—434no—
1660C42—862no—
1661C42—862no—
1662C42—862no—
1663C42—862no—
1664C42—862no—
1665C42—862no—
1666C42—862no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—432no—
1693C23—432no—
1694C23—432no—
1695C23—432no—
1696C23—432no—
1697C23—432no—
1698C23—432no—
1699C23—432no—
1700C23—868no—
1701C23—868no—
1702C23—868no—
1703C23—868no—
1704C23—861no—
1705C23—861no—
1706C23—861no—
1707C23—861no—
1708C23—861no—
1709C23—861no—
1710C23—861no—
1711C23—861no—
1712C23—861no—
1713C23—861no—
1714C23—861no—
1715C23—861no—
1716C23—861no—
1717C23—861no—
1718C23—861no—
1719C23—861no—
1720C23—861no—
1721C23—861no—
1722C23—861no—
1723C23—861no—
1724C23—1724no—
1725C23—1724no—
1726C23—1724no—
1727C23—1724no—
1728C23—1724no—
1729C23—1724no—
1730C23—1724no—
1731C23—1724no—
1732C23—1724no—
1733C23—1724no—
1734C23—1724no—
1735C23—1724no—
1736C23—1724no—
1737C23—1724no—
1738C23—1724no—
1739C23—1724no—
1740C23—1724no—
1741C23C2×D4×D4312yes—
1742C23#41×D4312yes—
1743C23#41×D4312yes—
1744C23C24×D4311yescharacteristic
1745Q8—1724no—
1746D4—28no—
1747D4—28no—
1748D4—44no—
1749D4—44no—
1750D4—44no—
1751D4—44no—
1752D4—868no—
1753D4—868no—
1754D4—868no—
1755D4—868no—
1756D4—868no—
1757D4—868no—
1758D4—1724no—
1759D4—1724no—
1760D4—1724no—
1761D4—1724no—
1762D4—1724no—
1763D4—1724no—
1764D4—1724no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—44no—
1793C2×C4—44no—
1794C2×C4—44no—
1795C2×C4—432no—
1796C2×C4—432no—
1797C2×C4—432no—
1798C2×C4—432no—
1799C2×C4—432no—
1800C2×C4—432no—
1801C2×C4—432no—
1802C2×C4—868no—
1803C2×C4—868no—
1804C2×C4—868no—
1805C2×C4—868no—
1806C2×C4—868no—
1807C2×C4—868no—
1808C2×C4—861no—
1809C2×C4—861no—
1810C2×C4—861no—
1811C2×C4—861no—
1812C2×C4—861no—
1813C2×C4—861no—
1814C2×C4—861no—
1815C2×C4—861no—
1816C2×C4—861no—
1817C2×C4—861no—
1818C2×C4—861no—
1819C2×C4—861no—
1820C2×C4—861no—
1821C2×C4—861no—
1822C2×C4—861no—
1823C2×C4—861no—
1824C2×C4—861no—
1825C2×C4—861no—
1826C2×C4—861no—
1827C2×C4—861no—
1828C2×C4—861no—
1829C2×C4—861no—
1830C2×C4—861no—
1831C2×C4—861no—
1832C2×C4—861no—
1833C2×C4—861no—
1834C2×C4—861no—
1835C2×C4—861no—
1836C2×C4—861no—
1837C2×C4—1724no—
1838C2×C4—1724no—
1839C2×C4—1724no—
1840C2×C4—1724no—
1841C2×C4—1724no—
1842C2×C4—1724no—
1843C2×C4—1724no—
1844C2×C4—1724no—
1845C2×C4—1724no—
1846C2×C4—1724no—
1847C2×C4—1724no—
1848C2×C4—1724no—
1849C2×C4C2×D4×D4312yes—
1850C2×C4C2×D4×D4312yes—
1851C2×C4C2×D4×D4312yes—
1852C2×C4C2×D4×D4312yes—
1853C2×C4C2×D4×D4312yes—
1854C2×C4#41×D4312yes—
1855C22—22no—
1856C22—22no—
1857C22—22no—
1858C22—22no—
1859C22—22no—
1860C22—22no—
1861C22—22no—
1862C22—22no—
1863C22—22no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—434no—
1884C22—434no—
1885C22—862no—
1886C22—862no—
1887C22—862no—
1888C22—862no—
1889C22—862no—
1890C22—862no—
1891C22—862no—
1892C22—862no—
1893C22—862no—
1894C22—862no—
1895C22—862no—
1896C22—862no—
1897C22—862no—
1898C22—862no—
1899C22—862no—
1900C22—862no—
1901C22—862no—
1902C22—862no—
1903C22—17216no—
1904C22—17216no—
1905C22—17216no—
1906C22—1721no—
1907C22—1721no—
1908C22—1721no—
1909C22—1721no—
1910C22—1721no—
1911C22—1721no—
1912C22—1721no—
1913C22—1721no—
1914C22C22×D4×D4311yescharacteristic
1915C22C22×D4×D4311yescharacteristic
1916C22C2×#41×D4311yescharacteristic
1917C22C2×#41×D4311yescharacteristic
1918C22C2×#41×D4311yescharacteristic
1919C22H(5,𝔽2)×D4311yescharacteristic
1920C22#1458373411yescharacteristic
1921C4—22no—
1922C4—22no—
1923C4—22no—
1924C4—22no—
1925C4—22no—
1926C4—22no—
1927C4—41no—
1928C4—41no—
1929C4—41no—
1930C4—41no—
1931C4—41no—
1932C4—434no—
1933C4—862no—
1934C4—862no—
1935C4—862no—
1936C4—862no—
1937C4—1721no—
1938C4—1721no—
1939C4—1721no—
1940C4—1721no—
1941C4—1721no—
1942C4—1721no—
1943C4—1721no—
1944C2—42no—
1945C2—42no—
1946C2—42no—
1947C2—81no—
1948C2—864no—
1949C2—864no—
1950C2—1722no—
1951C2—1722no—
1952C2#525×D4311yescharacteristic
1953C2#525×D4311yescharacteristic
1954C2#1914800611yescharacteristic
1955C2D42×D4311yescharacteristic
1956C2#1914807911yescharacteristic
1957C2#1914808511yescharacteristic
1958C2#1914820211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2456C2
hypercenter#2456D43
hypocenterC43#34655
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2456

Complements

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

NH ≅ G/Ntype
1. C2×#14583409C2semidirect
2. C2×#14583407C2semidirect
3. C2×C4×D4×D43C2semidirect
4. C2×C4×D4×D43C2semidirect
5. #19138586C2semidirect
6. #19138489C2semidirect
7. #19138472C2semidirect
8. #19138409C2semidirect
9. #19138403C2semidirect
10. #19138337C2semidirect
11. #19138327C2semidirect
12. #19138257C2semidirect
13. #19138138C2semidirect
14. #19138128C2semidirect
15. #19138062C2semidirect
16. #19138056C2semidirect
17. #19137962C2semidirect
18. #19137962C2semidirect
19. #19137904C2semidirect
20. #19137873C2semidirect
21. #19137840C2semidirect
22. #19137830C2semidirect
23. #19137807C2semidirect
24. #19137111C2semidirect
25. #19137107C2semidirect
26. #19137100C2semidirect
27. #19137100C2semidirect
28. #19137096C2semidirect
29. #19137037C2semidirect
30. #19137033C2semidirect
31. C43×#2456C2semidirect
32. C22×#10621900C22semidirect
36. C23×C4×D43C22semidirect
37. C23×C4×D43C22semidirect
40. C2×#13063308C22semidirect
41. C2×#13063307C22semidirect
42. C2×#13063307C22semidirect
43. C2×#13063305C22semidirect
44. C2×#13063304C22semidirect
45. C2×#13063303C22semidirect
46. C2×#13063303C22semidirect
49. C2×#13063298C22semidirect
57. C2×#13063293C22semidirect
58. C2×#13063293C22semidirect
61. C2×D4×Dic43C22semidirect
62. C2×D4×Dic43C22semidirect
63. C2×D4×Dic43C22semidirect
64. C2×D4×Dic43C22semidirect
65. C2×D4×Dic43C22semidirect
68. C2×#13063287C22semidirect
71. C2×C4×C22⋊D43C22semidirect
72. C2×C4×C22⋊D43C22semidirect
75. C2×(C22⋊D43)⋊C4C22semidirect
76. C2×(C22⋊D43)⋊C4C22semidirect
77. C2×(C22⋊D43)⋊C4C22semidirect
78. C2×(C22⋊D43)⋊C4C22semidirect
79. C2×(C22⋊D43)⋊C4C22semidirect
80. C2×(C22⋊D43)⋊C4C22semidirect
83. C2×#13063283C22semidirect
84. C2×#13063281C22semidirect
85. C2×C4⋊C4×D43C22semidirect
86. C2×C4⋊C4×D43C22semidirect
89. C2×C22⋊C4×D43C22semidirect
90. C2×C22⋊C4×D43C22semidirect
91. C2×C42×D43C22semidirect
92. C2×C42×D43C22semidirect
93. #14582836C22semidirect
94. #14582835C22semidirect
95. #14582835C22semidirect
96. #14582835C22semidirect
97. #14582832C22semidirect
98. #14582831C22semidirect
99. #14582828C22semidirect
100. #14582824C22semidirect
101. #14582822C22semidirect
102. #14582822C22semidirect
103. #14582821C22semidirect
104. #14582820C22semidirect
105. #14582816C22semidirect
106. #14582815C22semidirect
107. #14582815C22semidirect
108. #14582815C22semidirect
109. #14582815C22semidirect
110. #14582813C22semidirect
111. #14582813C22semidirect
112. #14582813C22semidirect
113. #14582813C22semidirect
114. #14582811C22semidirect
118. #14582807C22semidirect
119. #14582807C22semidirect
120. #14582807C22semidirect
121. #14582799C22semidirect
122. #14582797C22semidirect
123. #14582794C22semidirect
124. #14582793C22semidirect
125. #14582793C22semidirect
126. #14582792C22semidirect
127. #14582790C22semidirect
128. #14582790C22semidirect
129. #14582788C22semidirect
130. #14582785C22semidirect
131. #14582783C22semidirect
132. #14582781C22semidirect
133. #14582778C22semidirect
138. #14582777C22semidirect
143. #14582775C22semidirect
144. #14582775C22semidirect
145. #14582775C22semidirect
146. #14582775C22semidirect
147. #14582775C22semidirect
148. #14582773C22semidirect
149. #14582773C22semidirect
150. #14582773C22semidirect
151. #14582773C22semidirect
152. #14582773C22semidirect
153. #14582773C22semidirect
154. #14582772C22semidirect
155. #14582772C22semidirect
156. #14582770C22semidirect
157. #14582770C22semidirect
158. #14582770C22semidirect
159. #14582770C22semidirect
160. #14582758C22semidirect
161. #14582756C22semidirect
163. #14582754C22semidirect
164. #14582754C22semidirect
165. C4⋊C4×Dic43C22semidirect
166. #14582750C22semidirect
167. C22⋊C4×Dic43C22semidirect
168. C22⋊C4×Dic43C22semidirect
169. C22⋊C4×Dic43C22semidirect
170. C22⋊C4×Dic43C22semidirect
171. #14582746C22semidirect
172. #14582746C22semidirect
173. #14582746C22semidirect
174. #14582746C22semidirect
175. #14582744C22semidirect
176. C2×#123×C43C22semidirect
177. C2×#121×C43C22semidirect
178. C2×C4×D4×C43C22semidirect
179. C2×C4×D4×C43C22semidirect
180. C43×#396C22semidirect
182. C43×#392C22semidirect
183. C43×#392C22semidirect
184. C43×#390C22semidirect
185. C43×#388C22semidirect
186. C43×#388C22semidirect
187. C43×#387C22semidirect
188. C43×#386C22semidirect
189. C43×#386C22semidirect
190. C43×#385C22semidirect
272. #13063287D4semidirect
284. (C22⋊D43)⋊C4D4semidirect
443. C23×D43#41semidirect
515. C2×C22⋊D43#41semidirect
527. C22×Dic43C2×D4semidirect
551. C2×D172#41semidirect
596. C2×C4×D43C2×D4semidirect
604. C4⋊C4×C43C2×D4semidirect
617. C22⋊C4×C43C2×D4semidirect
658. (C2×D43)⋊C4C2×D4semidirect
677. Dic43⋊C4C2×D4semidirect
685. C4×Dic43C2×D4semidirect
686. C4×Dic43C2×D4semidirect
940. C2×D43#525semidirect
941. C2×D43#525semidirect
971. #2456D43semidirect
1022. C2×#123C2×D43semidirect
1032. C2×#121C2×D43semidirect
1064. C2×C4×D4C2×D43semidirect
1065. C2×C4×D4C2×D43semidirect
1087. #396C2×D43semidirect
1106. #392C2×D43semidirect
1107. #392C2×D43semidirect
1109. #390C2×D43semidirect
1118. #388C2×D43semidirect
1119. #388C2×D43semidirect
1123. #387C2×D43semidirect
1139. #386C2×D43semidirect
1140. #386C2×D43semidirect
1153. #385C2×D43semidirect
1170. C43#34655semidirect
1603. C4⋊C4D4×D43semidirect
1655. C22⋊C4D4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145834092
C2×#145834072
C2×C4×D4×D432
#191385862
#191384892
#191384722
#191384092
#191384032
#191383372
#191383272
#191382572
#191381382
#191381282
#191380622
#191380562
#191379622
#191379042
#191378732
#191378402
#191378302
#191378072
#191371112
#191371072
#191371002
#191370962
#191370372
#191370332
C43×#24562
#3465543