Finite Group Databasebeta

← #11633119

Subgroups — #11633119

Order 768.

4080 conjugacy classes of subgroups.

The subgroup lattice has 2014 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#937C211yesmaximal, characteristic
2C2×#5556C211yesmaximal, characteristic, complemented
3C3×D4×C22⋊C4C211yesmaximal, characteristic, complemented
4#84047C211yesmaximal, characteristic, complemented
5#82414C211yesmaximal, characteristic, complemented
6#82404C211yesmaximal, characteristic, complemented
7#82398C211yesmaximal, characteristic, complemented
8#82126C211yesmaximal, characteristic, complemented
9C22⋊C4×#67C211yesmaximal, characteristic, complemented
10C2×#4955C211yesmaximal, characteristic, complemented
11#82110C211yesmaximal, characteristic, complemented
12#76468C211yesmaximal, characteristic, complemented
13#76467C211yesmaximal, characteristic, complemented
14#76437C211yesmaximal, characteristic, complemented
15#76330C211yesmaximal, characteristic, complemented
16#74924C211yesmaximal, characteristic, complemented
17#74919C211yesmaximal, characteristic, complemented
18#74901C211yesmaximal, characteristic, complemented
19#74892C211yesmaximal, characteristic, complemented
20#74890C211yesmaximal, characteristic, complemented
21#74889C211yesmaximal, characteristic, complemented
22#74728C211yesmaximal, characteristic, complemented
23#74690C211yesmaximal, characteristic, complemented
24#73909C211yesmaximal, characteristic, complemented
25#73896C211yesmaximal, characteristic, complemented
26#73853C211yesmaximal, characteristic, complemented
27D3×#379C211yesmaximal, characteristic, complemented
28#73827C211yesmaximal, characteristic, complemented
29#73822C211yesmaximal, characteristic, complemented
30#73596C211yesmaximal, characteristic, complemented
31#73574C211yesmaximal, characteristic, complemented
32#59006—31nomaximal, Sylow
33C25×D3C2211yescharacteristic
34C23×C3×D4C2211yescharacteristic
35C23×#67C2211yescharacteristic
36C23×#67C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic, complemented
38C2×C3×C4×D4C2211yescharacteristic, complemented
39C22×C3×C22⋊C4C2211yescharacteristic
40C22×C3×C22⋊C4C2211yescharacteristic, complemented
41C22×#217C2211yescharacteristic
42C22×#217C2211yescharacteristic
43C2×#937—28no—
44C2×#937C2211yescharacteristic
45C2×#937C2211yescharacteristic
46C2×#937C2211yescharacteristic
47C2×#937C2211yescharacteristic
48C2×#937C2211yescharacteristic
49C2×#937C2211yescharacteristic
50C2×#937C2211yescharacteristic
51C2×#937C2211yescharacteristic
52C2×#935C2211yescharacteristic, complemented
53C2×#935C2211yescharacteristic, complemented
54C2×#929C2211yescharacteristic, complemented
55C2×#929C2211yescharacteristic, complemented
56C2×C4×#67C2211yescharacteristic, complemented
57C2×C4×#67C2211yescharacteristic, complemented
58C22×(C2×D3)⋊C4C2211yescharacteristic
59C22×(C2×D3)⋊C4C2211yescharacteristic
60C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
61C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
62C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
63C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
64C2×#924C2211yescharacteristic, complemented
65#5556—28no—
66C2×#898C2211yescharacteristic, complemented
67C2×#896C2211yescharacteristic, complemented
68C2×#885C2211yescharacteristic, complemented
69C2×#885C2211yescharacteristic, complemented
70C2×#883C2211yescharacteristic, complemented
71C2×#883C2211yescharacteristic, complemented
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic
74C2×D3×C22⋊C4C2211yescharacteristic, complemented
75C2×D3×C22⋊C4C2211yescharacteristic, complemented
76C2×D3×C22⋊C4C2211yescharacteristic, complemented
77C2×D3×C22⋊C4C2211yescharacteristic, complemented
78C2×#878C2211yescharacteristic, complemented
79C2×#877C2211yescharacteristic, complemented
80C2×#876C2211yescharacteristic, complemented
81C2×#872C2211yescharacteristic, complemented
82C3×#390C2211yescharacteristic, complemented
83C3×#390C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic, complemented
85C3×#386C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic, complemented
87C3×#386C2211yescharacteristic, complemented
88C3×#380C2211yescharacteristic, complemented
89C3×#379C2211yescharacteristic
90C3×#379C2211yescharacteristic, complemented
91C3×C4×C22⋊C4C2211yescharacteristic, complemented
92#5247C2211yescharacteristic
93#5247C2211yescharacteristic, complemented
94#5247C2211yescharacteristic, complemented
95#5222C2211yescharacteristic, complemented
96#5222C2211yescharacteristic, complemented
97#5222C2211yescharacteristic, complemented
98#5222C2211yescharacteristic, complemented
99#5220C2211yescharacteristic, complemented
100#5220C2211yescharacteristic, complemented
101#5213C2211yescharacteristic, complemented
102#5213C2211yescharacteristic, complemented
103#5213C2211yescharacteristic, complemented
104#5213C2211yescharacteristic, complemented
105#5212C2211yescharacteristic, complemented
106#5210C2211yescharacteristic, complemented
107#5210C2211yescharacteristic, complemented
108#5210C2211yescharacteristic, complemented
109#5210C2211yescharacteristic, complemented
110#4994C2211yescharacteristic, complemented
111#4994C2211yescharacteristic, complemented
112#4993C2211yescharacteristic, complemented
113#4992C2211yescharacteristic, complemented
114#4990C2211yescharacteristic, complemented
115#4989C2211yescharacteristic, complemented
116#4961C2211yescharacteristic, complemented
117#4961C2211yescharacteristic, complemented
118#4961C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4959C2211yescharacteristic, complemented
121#4959C2211yescharacteristic, complemented
122#4959C2211yescharacteristic, complemented
123#4959C2211yescharacteristic, complemented
124#4959C2211yescharacteristic, complemented
125#4959C2211yescharacteristic, complemented
126#4959C2211yescharacteristic, complemented
127#4959C2211yescharacteristic, complemented
128#4957C2211yescharacteristic, complemented
129#4957C2211yescharacteristic, complemented
130#4957C2211yescharacteristic, complemented
131#4957C2211yescharacteristic, complemented
132#4956C2211yescharacteristic, complemented
133#4956C2211yescharacteristic, complemented
134#4956C2211yescharacteristic, complemented
135#4956C2211yescharacteristic, complemented
136#4955C2211yescharacteristic
137#4955C2211yescharacteristic
138#4955C2211yescharacteristic
139#4955C2211yescharacteristic
140#4955C2211yescharacteristic
141#4955C2211yescharacteristic
142#4955C2211yescharacteristic, complemented
143#4955C2211yescharacteristic, complemented
144#4955C2211yescharacteristic, complemented
145#4955C2211yescharacteristic, complemented
146#4955C2211yescharacteristic, complemented
147#4955C2211yescharacteristic, complemented
148#4955C2211yescharacteristic, complemented
149#4955C2211yescharacteristic, complemented
150#4950C2211yescharacteristic, complemented
151#4949C2211yescharacteristic, complemented
152#4948C2211yescharacteristic, complemented
153#4948C2211yescharacteristic, complemented
154#4947C2211yescharacteristic, complemented
155#4946C2211yescharacteristic, complemented
156#4946C2211yescharacteristic, complemented
157#4946C2211yescharacteristic, complemented
158#4945C2211yescharacteristic, complemented
159#4945C2211yescharacteristic, complemented
160#4944C2211yescharacteristic, complemented
161#4944C2211yescharacteristic, complemented
162#4943C2211yescharacteristic, complemented
163#4942C2211yescharacteristic, complemented
164#4942C2211yescharacteristic, complemented
165Dic3×C22⋊C4C2211yescharacteristic, complemented
166Dic3×C22⋊C4C2211yescharacteristic, complemented
167Dic3×C22⋊C4C2211yescharacteristic, complemented
168#4940C2211yescharacteristic, complemented
169#4940C2211yescharacteristic, complemented
170#4940C2211yescharacteristic, complemented
171#4940C2211yescharacteristic, complemented
172#4940C2211yescharacteristic, complemented
173C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
174#4676C2211yescharacteristic, complemented
175#4676C2211yescharacteristic, complemented
176#4675C2211yescharacteristic, complemented
177#4675C2211yescharacteristic, complemented
178#4675C2211yescharacteristic, complemented
179#4675C2211yescharacteristic, complemented
180#4674C2211yescharacteristic, complemented
181#4673C2211yescharacteristic, complemented
182#4670C2211yescharacteristic, complemented
183#4669C2211yescharacteristic, complemented
184#4669C2211yescharacteristic, complemented
185#4669C2211yescharacteristic, complemented
186#4668C2211yescharacteristic, complemented
187#4667C2211yescharacteristic, complemented
188#4667C2211yescharacteristic, complemented
189#4664C2211yescharacteristic, complemented
190C2×#551—31no—
191C22×#120—31no—
192#2697—31no—
193#2685—31no—
194#2685—31no—
195#2684—31no—
196#2534—31no—
197#2534—31no—
198#2480—31no—
199#2480—31no—
200#2472—31no—
201#2472—31no—
202#2437—31no—
203#2437—31no—
204#2435—31no—
205#2418—31no—
206#2418—31no—
207#2412—31no—
208#2412—31no—
209#2411—31no—
210#2411—31no—
211#2405—31no—
212#2405—31no—
213#2405—31no—
214#2358—31no—
215#2342—31no—
216#2342—31no—
217D4×C22⋊C4—31no—
218D4×C22⋊C4D311yescharacteristic, complemented
219C2×#379—31no—
220C2×#379—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C24×D3—24no—
224C24×D3—24no—
225C24×D3—24no—
226C24×D3—42no—
227C24×D3—42no—
228C24×D3—42no—
229C24×D3—42no—
230C24×D3C2311yescharacteristic
231C24×D3C2311yescharacteristic
232C24×D3C2311yescharacteristic
233C24×D3C2311yescharacteristic
234C24×D3C2311yescharacteristic
235C24×D3C2311yescharacteristic
236C22×C3×D4—24no—
237C22×C3×D4—24no—
238C22×C3×D4—42no—
239C22×C3×D4C2311yescharacteristic
240C22×C3×D4C2311yescharacteristic
241C22×C3×D4C2311yescharacteristic
242C22×C3×D4C2311yescharacteristic
243C23×C3×C4C2311yescharacteristic
244C23×C3×C4C2311yescharacteristic
245C23×C3×C4C2311yescharacteristic
246C23×C3×C4C2311yescharacteristic, complemented
247C23×C3×C4C2311yescharacteristic, complemented
248C22×#67—24no—
249C22×#67—24no—
250C22×#67—24no—
251C22×#67—42no—
252C22×#67—42no—
253C22×#67—42no—
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C22×#67C2311yescharacteristic
258C22×#67C2311yescharacteristic
259C22×#67C2311yescharacteristic
260C22×#67C2311yescharacteristic
261C22×#67C2311yescharacteristic
262C23×Dic3C2311yescharacteristic
263C23×Dic3C2311yescharacteristic
264C23×Dic3C2311yescharacteristic
265C23×Dic3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×Dic6C2311yescharacteristic, complemented
271C3×C4×D4—24no—
272C3×C4×D4—42no—
273C2×C3×C4⋊C4C2311yescharacteristic, complemented
274C2×C3×C4⋊C4C2311yescharacteristic, complemented
275C2×C3×C22⋊C4—42no—
276C2×C3×C22⋊C4—42no—
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic, complemented
288C2×C3×C22⋊C4C2311yescharacteristic, complemented
289C2×C3×C22⋊C4C2311yescharacteristic, complemented
290C2×C3×C22⋊C4C2311yescharacteristic, complemented
291C2×C3×C22⋊C4C2311yescharacteristic, complemented
292C2×C3×C22⋊C4C2311yescharacteristic, complemented
293C2×C3×C42C2311yescharacteristic, complemented
294C2×C3×C42C2311yescharacteristic, complemented
295C2×#217—24no—
296C2×#217—24no—
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic, complemented
312C2×#217C2311yescharacteristic, complemented
313C2×#217C2311yescharacteristic, complemented
314C2×#217C2311yescharacteristic, complemented
315C2×#217C2311yescharacteristic, complemented
316C2×#217C2311yescharacteristic, complemented
317C2×#217C2311yescharacteristic, complemented
318C2×#217C2311yescharacteristic, complemented
319#937—24no—
320#937—24no—
321#937—24no—
322#937—24no—
323#937—24no—
324#937—24no—
325#937—24no—
326#937D418yes—
327#935—24no—
328#935—42no—
329#929—24no—
330#929—42no—
331C4×#67—24no—
332C4×#67—42no—
333C2×(C2×D3)⋊C4—24no—
334C2×(C2×D3)⋊C4—24no—
335C2×(C2×D3)⋊C4—24no—
336C2×(C2×D3)⋊C4—42no—
337C2×(C2×D3)⋊C4—42no—
338C2×(C2×D3)⋊C4—42no—
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×(C2×D3)⋊C4C2311yescharacteristic
370C2×(C2×D3)⋊C4C2311yescharacteristic
371C2×(C2×D3)⋊C4C2311yescharacteristic
372C2×(C2×D3)⋊C4C2311yescharacteristic
373C2×(C2×D3)⋊C4C2311yescharacteristic
374C2×(C2×D3)⋊C4C2311yescharacteristic
375C2×C4⋊Dic3C2311yescharacteristic, complemented
376C2×C4⋊Dic3C2311yescharacteristic, complemented
377C2×C4⋊Dic3C2311yescharacteristic, complemented
378#924—24no—
379C2×Dic3⋊C4C2311yescharacteristic, complemented
380C2×Dic3⋊C4C2311yescharacteristic, complemented
381C2×Dic3⋊C4C2311yescharacteristic, complemented
382C2×Dic3⋊C4C2311yescharacteristic, complemented
383C2×Dic3⋊C4C2311yescharacteristic, complemented
384C2×Dic3⋊C4C2311yescharacteristic, complemented
385C2×Dic3⋊C4C2311yescharacteristic, complemented
386C2×Dic3⋊C4C2311yescharacteristic, complemented
387C2×Dic3⋊C4C2311yescharacteristic, complemented
388C2×Dic3⋊C4C2311yescharacteristic, complemented
389C2×Dic3⋊C4C2311yescharacteristic, complemented
390C2×Dic3⋊C4C2311yescharacteristic, complemented
391C2×Dic3⋊C4C2311yescharacteristic, complemented
392C2×Dic3⋊C4C2311yescharacteristic, complemented
393C2×C4×Dic3C2311yescharacteristic, complemented
394C2×C4×Dic3C2311yescharacteristic, complemented
395C2×C4×Dic3C2311yescharacteristic, complemented
396C2×C4×Dic3C2311yescharacteristic, complemented
397#898—24no—
398#896—24no—
399#885—24no—
400#885—42no—
401#883—24no—
402#883—42no—
403D3×C22⋊C4—24no—
404D3×C22⋊C4—24no—
405D3×C22⋊C4—42no—
406D3×C22⋊C4—42no—
407D3×C22⋊C4—42no—
408D3×C22⋊C4—42no—
409#878—42no—
410#877—24no—
411#876—24no—
412#872—24no—
413C3×#95C2311yescharacteristic, complemented
414C3×#95C2311yescharacteristic, complemented
415C3×#95C2311yescharacteristic, complemented
416C3×#95C2311yescharacteristic, complemented
417C3⋊#95C2311yescharacteristic, complemented
418C3⋊#95C2311yescharacteristic, complemented
419C3⋊#95C2311yescharacteristic, complemented
420C3⋊#95C2311yescharacteristic, complemented
421C3⋊#95C2311yescharacteristic, complemented
422C3⋊#95C2311yescharacteristic, complemented
423C3⋊#95C2311yescharacteristic, complemented
424C3⋊#95C2311yescharacteristic, complemented
425C3⋊#95C2311yescharacteristic, complemented
426C3⋊#95C2311yescharacteristic, complemented
427C3⋊#95C2311yescharacteristic, complemented
428C3⋊#95C2311yescharacteristic, complemented
429C3⋊#95C2311yescharacteristic, complemented
430C3⋊#95C2311yescharacteristic, complemented
431C3⋊#95C2311yescharacteristic, complemented
432C3⋊#95C2311yescharacteristic, complemented
433C3⋊#95C2311yescharacteristic, complemented
434C3⋊#95C2311yescharacteristic, complemented
435C26—31no—
436C23×D4—31no—
437C23×D4—31no—
438C23×D4C2×D311yescharacteristic
439#551—68no—
440C2×#126—31no—
441C2×#126—31no—
442C2×#124—31no—
443C2×#124—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×#123—31no—
447C2×#123—31no—
448C2×#123—31no—
449C2×#123—31no—
450C2×C22⋊Q8—31no—
451C2×C22⋊Q8—31no—
452C2×C22⋊Q8—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—68no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4C2×D311yescharacteristic, complemented
465C2×C4×D4C2×D311yescharacteristic, complemented
466C2×#117—31no—
467C2×#117—31no—
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472C22×C22⋊C4—31no—
473C22×C22⋊C4—31no—
474C22×C22⋊C4—31no—
475C22×C22⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478C22×C22⋊C4—31no—
479C22×C22⋊C4—31no—
480C22×C22⋊C4—31no—
481C22×C22⋊C4—31no—
482C22×C22⋊C4C2×D311yescharacteristic
483C22×C22⋊C4C2×D311yescharacteristic, complemented
484#399—31no—
485#399—31no—
486#397—31no—
487#397—31no—
488#397—31no—
489#397—31no—
490#397—31no—
491#397—31no—
492#396—31no—
493#396—31no—
494#396—31no—
495#396—31no—
496#396—31no—
497#396—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394—31no—
512#394—31no—
513#394—31no—
514#393—31no—
515#393—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390C2×D311yescharacteristic, complemented
521#390C2×D311yescharacteristic, complemented
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386C2×D311yescharacteristic, complemented
547#386C2×D311yescharacteristic, complemented
548#386C2×D311yescharacteristic, complemented
549#386C2×D311yescharacteristic, complemented
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#381—31no—
561#381—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380C2×D311yescharacteristic, complemented
568#379—31no—
569#379—31no—
570#379—31no—
571#379—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576#379—31no—
577#379—31no—
578#379—31no—
579#379—31no—
580#379—31no—
581#379—31no—
582#379—31no—
583#379—31no—
584#379—31no—
585#379C2×D311yescharacteristic
586#379C2×D311yescharacteristic, complemented
587C4×C22⋊C4—31no—
588C4×C22⋊C4—31no—
589C4×C22⋊C4—31no—
590C4×C22⋊C4—31no—
591C4×C22⋊C4C2×D311yescharacteristic, complemented
592C24×C3—22no—
593C24×C3—22no—
594C24×C3—22no—
595C24×C3—22no—
596C24×C3—22no—
597C24×C3—22no—
598C24×C3—22no—
599C24×C3—22no—
600C24×C3—41no—
601C24×C3—41no—
602C24×C3—41no—
603C24×C3—41no—
604C24×C3—41no—
605C24×C3#4114yes—
606C24×C3C2411yescharacteristic
607C24×C3C2411yescharacteristic
608C24×C3C2411yescharacteristic
609C24×C3C2411yescharacteristic
610C24×C3C2411yescharacteristic
611C23×D3—22no—
612C23×D3—22no—
613C23×D3—22no—
614C23×D3—22no—
615C23×D3—22no—
616C23×D3—22no—
617C23×D3—22no—
618C23×D3—22no—
619C23×D3—22no—
620C23×D3—22no—
621C23×D3—22no—
622C23×D3—22no—
623C23×D3—22no—
624C23×D3—22no—
625C23×D3—22no—
626C23×D3—22no—
627C23×D3—22no—
628C23×D3—22no—
629C23×D3—22no—
630C23×D3—22no—
631C23×D3—22no—
632C23×D3—22no—
633C23×D3—22no—
634C23×D3—22no—
635C23×D3—22no—
636C23×D3—22no—
637C23×D3—41no—
638C23×D3—41no—
639C23×D3—41no—
640C23×D3—41no—
641C23×D3—41no—
642C23×D3—41no—
643C23×D3—41no—
644C23×D3—41no—
645C23×D3—41no—
646C23×D3—41no—
647C23×D3—41no—
648C23×D3—41no—
649C23×D3—41no—
650C23×D3—41no—
651C23×D3—416no—
652C23×D3—416no—
653C23×D3—416no—
654C23×D3—416no—
655C23×D3—416no—
656C23×D3—416no—
657C23×D3—416no—
658C23×D3C2×D414yes—
659C23×D3#4114yes—
660C23×D3C2411yescharacteristic
661C23×D3C2411yescharacteristic
662C23×D3C2411yescharacteristic
663C23×D3C2411yescharacteristic
664C2×C3×D4—22no—
665C2×C3×D4—22no—
666C2×C3×D4—22no—
667C2×C3×D4—22no—
668C2×C3×D4—22no—
669C2×C3×D4—22no—
670C2×C3×D4—22no—
671C2×C3×D4—22no—
672C2×C3×D4—22no—
673C2×C3×D4—41no—
674C2×C3×D4—41no—
675C2×C3×D4—416no—
676C2×C3×D4C2×D414yes—
677C22×C3×C4—22no—
678C22×C3×C4—22no—
679C22×C3×C4—22no—
680C22×C3×C4—22no—
681C22×C3×C4—22no—
682C22×C3×C4—41no—
683C22×C3×C4—41no—
684C22×C3×C4—41no—
685C22×C3×C4—41no—
686C22×C3×C4—41no—
687C22×C3×C4—41no—
688C22×C3×C4—41no—
689C22×C3×C4—41no—
690C22×C3×C4—41no—
691C22×C3×C4—41no—
692C22×C3×C4C2411yescharacteristic
693C22×C3×C4C2411yescharacteristic
694C22×C3×C4C2411yescharacteristic
695C22×C3×C4C2411yescharacteristic
696C22×C3×C4C2411yescharacteristic
697C22×C3×C4C2411yescharacteristic
698C22×C3×C4C2411yescharacteristic
699C22×C3×C4C2411yescharacteristic
700C22×C3×C4C2411yescharacteristic
701C22×C3×C4C2411yescharacteristic
702C2×#67—22no—
703C2×#67—22no—
704C2×#67—22no—
705C2×#67—22no—
706C2×#67—22no—
707C2×#67—22no—
708C2×#67—22no—
709C2×#67—22no—
710C2×#67—22no—
711C2×#67—22no—
712C2×#67—22no—
713C2×#67—22no—
714C2×#67—22no—
715C2×#67—22no—
716C2×#67—41no—
717C2×#67—41no—
718C2×#67—41no—
719C2×#67—41no—
720C2×#67—41no—
721C2×#67—41no—
722C2×#67—41no—
723C2×#67—41no—
724C2×#67—416no—
725C2×#67—416no—
726C2×#67C2×D414yes—
727C2×#67C2×D414yes—
728C22×Dic3—22no—
729C22×Dic3—22no—
730C22×Dic3—22no—
731C22×Dic3—22no—
732C22×Dic3—22no—
733C22×Dic3—22no—
734C22×Dic3—22no—
735C22×Dic3—22no—
736C22×Dic3—41no—
737C22×Dic3—41no—
738C22×Dic3—41no—
739C22×Dic3—41no—
740C22×Dic3C2411yescharacteristic
741C22×Dic3C2411yescharacteristic
742C22×Dic3C2411yescharacteristic
743C22×Dic3C2411yescharacteristic
744C22×Dic3C2411yescharacteristic
745C22×Dic3C2411yescharacteristic
746C22×Dic3C2411yescharacteristic
747C22×Dic3C2411yescharacteristic
748C22×Dic3C2411yescharacteristic
749C22×Dic3C2411yescharacteristic
750C22×Dic3C2411yescharacteristic
751C22×Dic3C2411yescharacteristic
752C2×C4×D3—22no—
753C2×C4×D3—22no—
754C2×C4×D3—22no—
755C2×C4×D3—22no—
756C2×C4×D3—22no—
757C2×C4×D3—22no—
758C2×C4×D3—41no—
759C2×C4×D3—41no—
760C2×C4×D3—41no—
761C2×C4×D3—41no—
762C2×C4×D3—41no—
763C2×C4×D3—41no—
764C2×Dic6—22no—
765C2×Dic6—41no—
766C2×Dic6—41no—
767C3×C4⋊C4—22no—
768C3×C4⋊C4—41no—
769C3×C22⋊C4—22no—
770C3×C22⋊C4—22no—
771C3×C22⋊C4—22no—
772C3×C22⋊C4—22no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—22no—
776C3×C22⋊C4—41no—
777C3×C22⋊C4—41no—
778C3×C22⋊C4—41no—
779C3×C22⋊C4—41no—
780C3×C22⋊C4—41no—
781C3×C22⋊C4—41no—
782C3×C22⋊C4—41no—
783C3×C22⋊C4—41no—
784C3×C22⋊C4—41no—
785C3×C42—22no—
786C3×C42—41no—
787#217—22no—
788#217—22no—
789#217—22no—
790#217—22no—
791#217—22no—
792#217—22no—
793#217—22no—
794#217—22no—
795#217—22no—
796#217—22no—
797#217—22no—
798#217—22no—
799#217—22no—
800#217—41no—
801#217—41no—
802#217—41no—
803#217—41no—
804#217—41no—
805#217—41no—
806#217—41no—
807#217—41no—
808#217C2×D414yes—
809(C2×D3)⋊C4—22no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—22no—
812(C2×D3)⋊C4—22no—
813(C2×D3)⋊C4—22no—
814(C2×D3)⋊C4—22no—
815(C2×D3)⋊C4—22no—
816(C2×D3)⋊C4—22no—
817(C2×D3)⋊C4—22no—
818(C2×D3)⋊C4—22no—
819(C2×D3)⋊C4—22no—
820(C2×D3)⋊C4—22no—
821(C2×D3)⋊C4—22no—
822(C2×D3)⋊C4—22no—
823(C2×D3)⋊C4—22no—
824(C2×D3)⋊C4—22no—
825(C2×D3)⋊C4—22no—
826(C2×D3)⋊C4—22no—
827(C2×D3)⋊C4—22no—
828(C2×D3)⋊C4—22no—
829(C2×D3)⋊C4—41no—
830(C2×D3)⋊C4—41no—
831(C2×D3)⋊C4—41no—
832(C2×D3)⋊C4—41no—
833(C2×D3)⋊C4—41no—
834(C2×D3)⋊C4—41no—
835(C2×D3)⋊C4—41no—
836(C2×D3)⋊C4—41no—
837(C2×D3)⋊C4—41no—
838(C2×D3)⋊C4—41no—
839(C2×D3)⋊C4—41no—
840(C2×D3)⋊C4—41no—
841(C2×D3)⋊C4—41no—
842(C2×D3)⋊C4—41no—
843(C2×D3)⋊C4C2×D414yes—
844(C2×D3)⋊C4C2×D414yes—
845C4⋊Dic3—22no—
846C4⋊Dic3—41no—
847C4⋊Dic3—41no—
848Dic3⋊C4—22no—
849Dic3⋊C4—22no—
850Dic3⋊C4—22no—
851Dic3⋊C4—22no—
852Dic3⋊C4—22no—
853Dic3⋊C4—22no—
854Dic3⋊C4—41no—
855Dic3⋊C4—41no—
856Dic3⋊C4—41no—
857Dic3⋊C4—41no—
858Dic3⋊C4—41no—
859Dic3⋊C4—41no—
860Dic3⋊C4—41no—
861Dic3⋊C4—41no—
862C4×Dic3—22no—
863C4×Dic3—22no—
864C4×Dic3—41no—
865C4×Dic3—41no—
866C25—31no—
867C25—31no—
868C25—31no—
869C25—31no—
870C25—31no—
871C25—31no—
872C25—64no—
873C25—64no—
874C25—64no—
875C25—122no—
876C25—122no—
877C25—122no—
878C25—122no—
879C25C22×D311yescharacteristic
880C25C22×D311yescharacteristic
881C22×Q8—31no—
882C22×D4—24no—
883C22×D4—24no—
884C22×D4—31no—
885C22×D4—31no—
886C22×D4—31no—
887C22×D4—31no—
888C22×D4—31no—
889C22×D4—31no—
890C22×D4—31no—
891C22×D4—31no—
892C22×D4—42no—
893C22×D4—64no—
894C22×D4—64no—
895C22×D4—64no—
896C22×D4—122no—
897C22×D4—122no—
898C22×D4—122no—
899C22×D4C22×D311yescharacteristic
900C22×D4C22×D311yescharacteristic
901C22×D4C22×D311yescharacteristic
902C22×D4C22×D311yescharacteristic
903C23×C4—31no—
904C23×C4—31no—
905C23×C4—31no—
906C23×C4—31no—
907C23×C4—31no—
908C23×C4—31no—
909C23×C4—31no—
910C23×C4—31no—
911C23×C4C22×D311yescharacteristic
912C23×C4C22×D311yescharacteristic
913C23×C4C22×D311yescharacteristic
914C23×C4C22×D311yescharacteristic, complemented
915C23×C4C22×D311yescharacteristic, complemented
916#126—64no—
917#126—64no—
918#124—64no—
919#124—122no—
920#123—64no—
921#123—64no—
922#123—64no—
923#123—122no—
924#123—122no—
925#123—122no—
926C22⋊Q8—64no—
927C22⋊Q8—64no—
928C22⋊Q8—122no—
929#120—38no—
930#120—64no—
931#120—64no—
932#120—64no—
933#120—64no—
934#120—64no—
935#120—64no—
936#120—64no—
937C4×D4—24no—
938C4×D4—42no—
939C4×D4—64no—
940C4×D4—122no—
941#117—64no—
942#117—64no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4C22×D311yescharacteristic, complemented
961C2×C4⋊C4C22×D311yescharacteristic, complemented
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4—31no—
1019C2×C22⋊C4—31no—
1020C2×C22⋊C4—42no—
1021C2×C22⋊C4—42no—
1022C2×C22⋊C4—64no—
1023C2×C22⋊C4—64no—
1024C2×C22⋊C4—64no—
1025C2×C22⋊C4—64no—
1026C2×C22⋊C4—64no—
1027C2×C22⋊C4—64no—
1028C2×C22⋊C4—64no—
1029C2×C22⋊C4—122no—
1030C2×C22⋊C4—122no—
1031C2×C22⋊C4—122no—
1032C2×C22⋊C4—122no—
1033C2×C22⋊C4—122no—
1034C2×C22⋊C4—122no—
1035C2×C22⋊C4—122no—
1036C2×C22⋊C4C22×D311yescharacteristic
1037C2×C22⋊C4C22×D311yescharacteristic
1038C2×C22⋊C4C22×D311yescharacteristic
1039C2×C22⋊C4C22×D311yescharacteristic
1040C2×C22⋊C4C22×D311yescharacteristic
1041C2×C22⋊C4C22×D311yescharacteristic
1042C2×C22⋊C4C22×D311yescharacteristic
1043C2×C22⋊C4C22×D311yescharacteristic
1044C2×C22⋊C4C22×D311yescharacteristic
1045C2×C22⋊C4C22×D311yescharacteristic
1046C2×C22⋊C4C22×D311yescharacteristic, complemented
1047C2×C22⋊C4C22×D311yescharacteristic, complemented
1048C2×C22⋊C4C22×D311yescharacteristic, complemented
1049C2×C22⋊C4C22×D311yescharacteristic, complemented
1050C2×C22⋊C4C22×D311yescharacteristic, complemented
1051C2×C22⋊C4C22×D311yescharacteristic, complemented
1052C2×C42—31no—
1053C2×C42—31no—
1054C2×C42—31no—
1055C2×C42—31no—
1056C2×C42C22×D311yescharacteristic, complemented
1057C2×C42C22×D311yescharacteristic, complemented
1058#95—31no—
1059#95—31no—
1060#95—31no—
1061#95—31no—
1062#95—31no—
1063#95—31no—
1064#95—31no—
1065#95—31no—
1066#95—31no—
1067#95—31no—
1068#95—31no—
1069#95—31no—
1070#95—31no—
1071#95—31no—
1072#95—31no—
1073#95—31no—
1074#95—31no—
1075#95—31no—
1076#95C22×D311yescharacteristic, complemented
1077#95C22×D311yescharacteristic, complemented
1078#95C22×D311yescharacteristic, complemented
1079#95C22×D311yescharacteristic, complemented
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—28no—
1089C23×C3—28no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—21no—
1097C23×C3—21no—
1098C23×C3—21no—
1099C23×C3—21no—
1100C23×C3—21no—
1101C23×C3—21no—
1102C23×C3—21no—
1103C23×C3—21no—
1104C23×C3—21no—
1105C23×C3—21no—
1106C23×C3—21no—
1107C23×C3—21no—
1108C23×C3—21no—
1109C23×C3—44no—
1110C23×C3—44no—
1111C23×C3—44no—
1112C23×C3—44no—
1113C23×C3—44no—
1114C23×C3—44no—
1115C23×C3—44no—
1116C23×C3—44no—
1117C23×C3—44no—
1118C23×C3—82no—
1119C23×C3—82no—
1120C23×C3—82no—
1121C23×C3C22×D412yes—
1122C23×C3C22×D412yes—
1123C23×C3C2×#4112yes—
1124C23×C3C2×#4112yes—
1125C23×C3C2×#4112yes—
1126C23×C3C2×#4112yes—
1127C23×C3H(5,𝔽2)12yes—
1128C23×C3H(5,𝔽2)12yes—
1129C23×C3C2511yescharacteristic
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—21no—
1133C22×D3—21no—
1134C22×D3—28no—
1135C22×D3—28no—
1136C22×D3—28no—
1137C22×D3—28no—
1138C22×D3—28no—
1139C22×D3—21no—
1140C22×D3—21no—
1141C22×D3—21no—
1142C22×D3—21no—
1143C22×D3—21no—
1144C22×D3—21no—
1145C22×D3—21no—
1146C22×D3—21no—
1147C22×D3—21no—
1148C22×D3—21no—
1149C22×D3—21no—
1150C22×D3—21no—
1151C22×D3—21no—
1152C22×D3—21no—
1153C22×D3—21no—
1154C22×D3—21no—
1155C22×D3—21no—
1156C22×D3—21no—
1157C22×D3—28no—
1158C22×D3—28no—
1159C22×D3—44no—
1160C22×D3—44no—
1161C22×D3—44no—
1162C22×D3—44no—
1163C22×D3—44no—
1164C22×D3—44no—
1165C22×D3—44no—
1166C22×D3—44no—
1167C22×D3—44no—
1168C22×D3—44no—
1169C22×D3—44no—
1170C22×D3—44no—
1171C22×D3—44no—
1172C22×D3—44no—
1173C22×D3—44no—
1174C22×D3—44no—
1175C22×D3—44no—
1176C22×D3—44no—
1177C22×D3—44no—
1178C22×D3—44no—
1179C22×D3—44no—
1180C22×D3—44no—
1181C22×D3—44no—
1182C22×D3—44no—
1183C22×D3—44no—
1184C22×D3—44no—
1185C22×D3—44no—
1186C22×D3—44no—
1187C22×D3—44no—
1188C22×D3—44no—
1189C22×D3—44no—
1190C22×D3—4128no—
1191C22×D3—44no—
1192C22×D3—44no—
1193C22×D3—44no—
1194C22×D3—44no—
1195C22×D3C22×D412yes—
1196C22×D3C22×D412yes—
1197C22×D3C2×#4112yes—
1198C22×D3C2×#4112yes—
1199C22×D3H(5,𝔽2)12yes—
1200C22×D3H(5,𝔽2)12yes—
1201C3×D4—28no—
1202C3×D4—44no—
1203C3×D4—44no—
1204C3×D4—44no—
1205C2×C3×C4—21no—
1206C2×C3×C4—21no—
1207C2×C3×C4—21no—
1208C2×C3×C4—21no—
1209C2×C3×C4—21no—
1210C2×C3×C4—21no—
1211C2×C3×C4—21no—
1212C2×C3×C4—21no—
1213C2×C3×C4—21no—
1214C2×C3×C4—21no—
1215C2×C3×C4—21no—
1216C2×C3×C4—21no—
1217C2×C3×C4—21no—
1218C2×C3×C4—21no—
1219C2×C3×C4—21no—
1220C2×C3×C4—21no—
1221C2×C3×C4—21no—
1222C2×C3×C4—21no—
1223C2×C3×C4—21no—
1224C2×C3×C4—21no—
1225C2×C3×C4—21no—
1226C2×C3×C4—21no—
1227C2×C3×C4—21no—
1228C2×C3×C4—21no—
1229C2×C3×C4—21no—
1230C2×C3×C4—21no—
1231C2×C3×C4—21no—
1232C2×C3×C4—21no—
1233C2×C3×C4—21no—
1234C2×C3×C4—44no—
1235C2×C3×C4—82no—
1236C2×C3×C4—82no—
1237C2×C3×C4—82no—
1238C2×C3×C4—82no—
1239C2×C3×C4C22×D412yes—
1240#67—28no—
1241#67—44no—
1242#67—44no—
1243#67—44no—
1244#67—44no—
1245#67—44no—
1246#67—44no—
1247#67—44no—
1248C2×Dic3—21no—
1249C2×Dic3—21no—
1250C2×Dic3—21no—
1251C2×Dic3—21no—
1252C2×Dic3—21no—
1253C2×Dic3—21no—
1254C2×Dic3—21no—
1255C2×Dic3—21no—
1256C2×Dic3—21no—
1257C2×Dic3—21no—
1258C2×Dic3—21no—
1259C2×Dic3—21no—
1260C2×Dic3—21no—
1261C2×Dic3—21no—
1262C2×Dic3—21no—
1263C2×Dic3—21no—
1264C2×Dic3—21no—
1265C2×Dic3—21no—
1266C2×Dic3—21no—
1267C2×Dic3—21no—
1268C2×Dic3—21no—
1269C2×Dic3—21no—
1270C2×Dic3—21no—
1271C2×Dic3—21no—
1272C2×Dic3—21no—
1273C2×Dic3—21no—
1274C2×Dic3—21no—
1275C2×Dic3—21no—
1276C2×Dic3—21no—
1277C2×Dic3—21no—
1278C2×Dic3—21no—
1279C2×Dic3—21no—
1280C2×Dic3—21no—
1281C2×Dic3—21no—
1282C2×Dic3—44no—
1283C2×Dic3—44no—
1284C2×Dic3—44no—
1285C2×Dic3—82no—
1286C2×Dic3C22×D412yes—
1287C2×Dic3C22×D412yes—
1288C4×D3—44no—
1289C4×D3—82no—
1290C4×D3—82no—
1291C4×D3—82no—
1292Dic6—82no—
1293C24—22no—
1294C24—22no—
1295C24—22no—
1296C24—22no—
1297C24—22no—
1298C24—22no—
1299C24—22no—
1300C24—22no—
1301C24—31no—
1302C24—31no—
1303C24—31no—
1304C24—31no—
1305C24—34no—
1306C24—34no—
1307C24—41no—
1308C24—41no—
1309C24—41no—
1310C24—41no—
1311C24—41no—
1312C24—62no—
1313C24—62no—
1314C24—62no—
1315C24—62no—
1316C24—62no—
1317C24—62no—
1318C24—62no—
1319C24—62no—
1320C24—62no—
1321C24—62no—
1322C24—62no—
1323C24—62no—
1324C24—62no—
1325C24—62no—
1326C24—62no—
1327C24—62no—
1328C24—62no—
1329C24—62no—
1330C24—62no—
1331C24—62no—
1332C24—62no—
1333C24—62no—
1334C24—62no—
1335C24—62no—
1336C24—62no—
1337C24—62no—
1338C24—121no—
1339C24—121no—
1340C24—121no—
1341C24—121no—
1342C24—121no—
1343C24—121no—
1344C24—121no—
1345C24—121no—
1346C24—121no—
1347C24—121no—
1348C24—121no—
1349C24—121no—
1350C24—121no—
1351C24—121no—
1352C24—1216no—
1353C24—1216no—
1354C24—1216no—
1355C24—1216no—
1356C24—1216no—
1357C24—1216no—
1358C24—1216no—
1359C24#23514yes—
1360C24C23×D311yescharacteristic
1361C24C23×D311yescharacteristic
1362C24C23×D311yescharacteristic
1363C24C23×D311yescharacteristic
1364C24C23×D311yescharacteristic
1365C2×Q8—62no—
1366C2×Q8—121no—
1367C2×Q8—121no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—34no—
1378C2×D4—34no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—416no—
1382C2×D4—62no—
1383C2×D4—62no—
1384C2×D4—62no—
1385C2×D4—62no—
1386C2×D4—62no—
1387C2×D4—62no—
1388C2×D4—62no—
1389C2×D4—62no—
1390C2×D4—62no—
1391C2×D4—62no—
1392C2×D4—62no—
1393C2×D4—62no—
1394C2×D4—62no—
1395C2×D4—62no—
1396C2×D4—121no—
1397C2×D4—121no—
1398C2×D4—121no—
1399C2×D4—121no—
1400C2×D4—121no—
1401C2×D4—121no—
1402C2×D4—121no—
1403C2×D4—121no—
1404C2×D4—1216no—
1405C2×D4—1216no—
1406C2×D4D3×D414yes—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—31no—
1413C22×C4—31no—
1414C22×C4—31no—
1415C22×C4—31no—
1416C22×C4—31no—
1417C22×C4—31no—
1418C22×C4—31no—
1419C22×C4—31no—
1420C22×C4—31no—
1421C22×C4—31no—
1422C22×C4—31no—
1423C22×C4—31no—
1424C22×C4—41no—
1425C22×C4—41no—
1426C22×C4—41no—
1427C22×C4—41no—
1428C22×C4—41no—
1429C22×C4—41no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—41no—
1433C22×C4—41no—
1434C22×C4—62no—
1435C22×C4—62no—
1436C22×C4—62no—
1437C22×C4—62no—
1438C22×C4—62no—
1439C22×C4—62no—
1440C22×C4—62no—
1441C22×C4—62no—
1442C22×C4—62no—
1443C22×C4—62no—
1444C22×C4—62no—
1445C22×C4—62no—
1446C22×C4—62no—
1447C22×C4—62no—
1448C22×C4—121no—
1449C22×C4—121no—
1450C22×C4—121no—
1451C22×C4—121no—
1452C22×C4—121no—
1453C22×C4—121no—
1454C22×C4—121no—
1455C22×C4—121no—
1456C22×C4—121no—
1457C22×C4—121no—
1458C22×C4C23×D311yescharacteristic
1459C22×C4C23×D311yescharacteristic
1460C22×C4C23×D311yescharacteristic
1461C22×C4C23×D311yescharacteristic
1462C22×C4C23×D311yescharacteristic
1463C22×C4C23×D311yescharacteristic
1464C22×C4C23×D311yescharacteristic
1465C22×C4C23×D311yescharacteristic
1466C22×C4C23×D311yescharacteristic
1467C22×C4C23×D311yescharacteristic
1468C4⋊C4—22no—
1469C4⋊C4—41no—
1470C4⋊C4—62no—
1471C4⋊C4—62no—
1472C4⋊C4—62no—
1473C4⋊C4—62no—
1474C4⋊C4—62no—
1475C4⋊C4—62no—
1476C4⋊C4—62no—
1477C4⋊C4—121no—
1478C4⋊C4—121no—
1479C4⋊C4—121no—
1480C4⋊C4—121no—
1481C4⋊C4—121no—
1482C4⋊C4—121no—
1483C4⋊C4—121no—
1484C4⋊C4—121no—
1485C4⋊C4—121no—
1486C4⋊C4—121no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—34no—
1495C22⋊C4—34no—
1496C22⋊C4—34no—
1497C22⋊C4—41no—
1498C22⋊C4—41no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—62no—
1507C22⋊C4—62no—
1508C22⋊C4—62no—
1509C22⋊C4—62no—
1510C22⋊C4—62no—
1511C22⋊C4—62no—
1512C22⋊C4—62no—
1513C22⋊C4—62no—
1514C22⋊C4—62no—
1515C22⋊C4—62no—
1516C22⋊C4—62no—
1517C22⋊C4—62no—
1518C22⋊C4—62no—
1519C22⋊C4—62no—
1520C22⋊C4—62no—
1521C22⋊C4—62no—
1522C22⋊C4—62no—
1523C22⋊C4—62no—
1524C22⋊C4—62no—
1525C22⋊C4—62no—
1526C22⋊C4—62no—
1527C22⋊C4—62no—
1528C22⋊C4—62no—
1529C22⋊C4—62no—
1530C22⋊C4—62no—
1531C22⋊C4—62no—
1532C22⋊C4—62no—
1533C22⋊C4—62no—
1534C22⋊C4—62no—
1535C22⋊C4—62no—
1536C22⋊C4—62no—
1537C22⋊C4—62no—
1538C22⋊C4—62no—
1539C22⋊C4—121no—
1540C22⋊C4—121no—
1541C22⋊C4—121no—
1542C22⋊C4—121no—
1543C22⋊C4—121no—
1544C22⋊C4—121no—
1545C22⋊C4—121no—
1546C22⋊C4—121no—
1547C22⋊C4—121no—
1548C22⋊C4—121no—
1549C22⋊C4—121no—
1550C22⋊C4—121no—
1551C22⋊C4—121no—
1552C22⋊C4—121no—
1553C22⋊C4—121no—
1554C22⋊C4—121no—
1555C22⋊C4—121no—
1556C22⋊C4—121no—
1557C22⋊C4—121no—
1558C22⋊C4—121no—
1559C22⋊C4—121no—
1560C22⋊C4—121no—
1561C42—22no—
1562C42—41no—
1563C42—62no—
1564C42—62no—
1565C42—121no—
1566C42—121no—
1567C22×C3—22no—
1568C22×C3—22no—
1569C22×C3—22no—
1570C22×C3—22no—
1571C22×C3—22no—
1572C22×C3—22no—
1573C22×C3—22no—
1574C22×C3—22no—
1575C22×C3—22no—
1576C22×C3—22no—
1577C22×C3—22no—
1578C22×C3—22no—
1579C22×C3—22no—
1580C22×C3—22no—
1581C22×C3—22no—
1582C22×C3—22no—
1583C22×C3—22no—
1584C22×C3—22no—
1585C22×C3—416no—
1586C22×C3—41no—
1587C22×C3—41no—
1588C22×C3—41no—
1589C22×C3—41no—
1590C22×C3—41no—
1591C22×C3—41no—
1592C22×C3—41no—
1593C22×C3—41no—
1594C22×C3—41no—
1595C22×C3—41no—
1596C22×C3—41no—
1597C22×C3—41no—
1598C22×C3—41no—
1599C22×C3—41no—
1600C22×C3—41no—
1601C22×C3—88no—
1602C22×C3#54614yes—
1603C22×C3#55114yescomplemented
1604C22×C3C23×D411yescharacteristic
1605C22×C3C22×#4111yescharacteristic
1606C22×C3C22×#4111yescharacteristic
1607C22×C3C2×H(5,𝔽2)11yescharacteristic
1608C22×C3C2×H(5,𝔽2)11yescharacteristic
1609C22×C3C2×H(5,𝔽2)11yescharacteristic
1610C22×C3C2×H(5,𝔽2)11yescharacteristic
1611C2×D3—22no—
1612C2×D3—22no—
1613C2×D3—22no—
1614C2×D3—22no—
1615C2×D3—22no—
1616C2×D3—22no—
1617C2×D3—22no—
1618C2×D3—22no—
1619C2×D3—22no—
1620C2×D3—22no—
1621C2×D3—22no—
1622C2×D3—22no—
1623C2×D3—22no—
1624C2×D3—22no—
1625C2×D3—22no—
1626C2×D3—416no—
1627C2×D3—416no—
1628C2×D3—416no—
1629C2×D3—416no—
1630C2×D3—416no—
1631C2×D3—416no—
1632C2×D3—41no—
1633C2×D3—41no—
1634C2×D3—41no—
1635C2×D3—41no—
1636C2×D3—41no—
1637C2×D3—41no—
1638C2×D3—41no—
1639C2×D3—41no—
1640C2×D3—41no—
1641C2×D3—41no—
1642C2×D3—41no—
1643C2×D3—41no—
1644C2×D3#54614yes—
1645C3×C4—22no—
1646C3×C4—41no—
1647C3×C4—41no—
1648C3×C4—41no—
1649C3×C4—41no—
1650C3×C4—41no—
1651C3×C4—41no—
1652C3×C4—41no—
1653C3×C4—41no—
1654C3×C4—41no—
1655Dic3—22no—
1656Dic3—22no—
1657Dic3—41no—
1658Dic3—41no—
1659Dic3—41no—
1660Dic3—41no—
1661Dic3—41no—
1662Dic3—41no—
1663Dic3—41no—
1664Dic3—41no—
1665Dic3—41no—
1666Dic3—41no—
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—28no—
1688C23—28no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—32no—
1697C23—32no—
1698C23—32no—
1699C23—32no—
1700C23—32no—
1701C23—32no—
1702C23—44no—
1703C23—44no—
1704C23—44no—
1705C23—44no—
1706C23—44no—
1707C23—44no—
1708C23—44no—
1709C23—44no—
1710C23—44no—
1711C23—68no—
1712C23—68no—
1713C23—68no—
1714C23—68no—
1715C23—68no—
1716C23—61no—
1717C23—61no—
1718C23—61no—
1719C23—61no—
1720C23—61no—
1721C23—61no—
1722C23—61no—
1723C23—61no—
1724C23—61no—
1725C23—61no—
1726C23—61no—
1727C23—61no—
1728C23—61no—
1729C23—61no—
1730C23—61no—
1731C23—61no—
1732C23—61no—
1733C23—61no—
1734C23—61no—
1735C23—61no—
1736C23—61no—
1737C23—61no—
1738C23—68no—
1739C23—68no—
1740C23—82no—
1741C23—82no—
1742C23—82no—
1743C23—124no—
1744C23—124no—
1745C23—124no—
1746C23—124no—
1747C23—124no—
1748C23—124no—
1749C23—124no—
1750C23—124no—
1751C23—124no—
1752C23—124no—
1753C23—124no—
1754C23—124no—
1755C23—124no—
1756C23—124no—
1757C23—124no—
1758C23—124no—
1759C23—124no—
1760C23—124no—
1761C23—124no—
1762C23—124no—
1763C23—124no—
1764C23—124no—
1765C23—124no—
1766C23—124no—
1767C23—124no—
1768C23—124no—
1769C23—124no—
1770C23—124no—
1771C23—124no—
1772C23—124no—
1773C23—124no—
1774C23—124no—
1775C23—12128no—
1776C23—124no—
1777C23—124no—
1778C23—124no—
1779C23C2×#23512yes—
1780C23C2×#23512yes—
1781C23C2×#23512yes—
1782C23C2×D3×D412yes—
1783C23C2×D3×D412yes—
1784C23#100412yes—
1785C23#100412yes—
1786C23D3×#4112yes—
1787C23C24×D311yescharacteristic
1788Q8—242no—
1789D4—28no—
1790D4—44no—
1791D4—44no—
1792D4—44no—
1793D4—68no—
1794D4—124no—
1795D4—124no—
1796D4—124no—
1797D4—124no—
1798D4—124no—
1799D4—124no—
1800D4—124no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—32no—
1831C2×C4—32no—
1832C2×C4—44no—
1833C2×C4—61no—
1834C2×C4—61no—
1835C2×C4—61no—
1836C2×C4—61no—
1837C2×C4—61no—
1838C2×C4—61no—
1839C2×C4—61no—
1840C2×C4—61no—
1841C2×C4—61no—
1842C2×C4—61no—
1843C2×C4—61no—
1844C2×C4—61no—
1845C2×C4—61no—
1846C2×C4—61no—
1847C2×C4—61no—
1848C2×C4—61no—
1849C2×C4—61no—
1850C2×C4—61no—
1851C2×C4—61no—
1852C2×C4—61no—
1853C2×C4—61no—
1854C2×C4—61no—
1855C2×C4—61no—
1856C2×C4—61no—
1857C2×C4—61no—
1858C2×C4—61no—
1859C2×C4—61no—
1860C2×C4—61no—
1861C2×C4—61no—
1862C2×C4—61no—
1863C2×C4—61no—
1864C2×C4—61no—
1865C2×C4—61no—
1866C2×C4—61no—
1867C2×C4—82no—
1868C2×C4—82no—
1869C2×C4—82no—
1870C2×C4—82no—
1871C2×C4—124no—
1872C2×C4—124no—
1873C2×C4—124no—
1874C2×C4—124no—
1875C2×C4—242no—
1876C2×C4—242no—
1877C2×C4—242no—
1878C2×C4—242no—
1879C2×C4C2×D3×D412yes—
1880C2×C3—24no—
1881C2×C3—24no—
1882C2×C3—42no—
1883C2×C3—42no—
1884C2×C3—81no—
1885C2×C3C2×#54611yescharacteristic
1886C2×C3C2×#54611yescharacteristic
1887C2×C3C2×#55111yescharacteristic
1888C2×C3#348411yescharacteristic
1889C2×C3#349011yescharacteristic
1890C2×C3#349011yescharacteristic
1891C2×C3#353211yescharacteristic
1892D3—24no—
1893D3—42no—
1894D3—42no—
1895D3—42no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—22no—
1907C22—22no—
1908C22—22no—
1909C22—22no—
1910C22—22no—
1911C22—22no—
1912C22—22no—
1913C22—22no—
1914C22—34no—
1915C22—416no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—41no—
1924C22—41no—
1925C22—41no—
1926C22—41no—
1927C22—41no—
1928C22—41no—
1929C22—41no—
1930C22—41no—
1931C22—62no—
1932C22—62no—
1933C22—62no—
1934C22—62no—
1935C22—62no—
1936C22—62no—
1937C22—62no—
1938C22—62no—
1939C22—62no—
1940C22—62no—
1941C22—62no—
1942C22—62no—
1943C22—62no—
1944C22—62no—
1945C22—62no—
1946C22—88no—
1947C22—1216no—
1948C22—1216no—
1949C22—1216no—
1950C22—1216no—
1951C22—1216no—
1952C22—1216no—
1953C22—121no—
1954C22—121no—
1955C22—121no—
1956C22—121no—
1957C22—121no—
1958C22—121no—
1959C22—121no—
1960C22—121no—
1961C22—121no—
1962C22—121no—
1963C22—121no—
1964C22—121no—
1965C22#549014yes—
1966C22#555614yescomplemented
1967C22C22×#23511yescharacteristic
1968C22C22×D3×D411yescharacteristic
1969C22C2×#100411yescharacteristic
1970C22C2×#100411yescharacteristic
1971C22C2×D3×#4111yescharacteristic
1972C22D3×H(5,𝔽2)11yescharacteristic
1973C22D3×H(5,𝔽2)11yescharacteristic
1974C4—22no—
1975C4—41no—
1976C4—41no—
1977C4—41no—
1978C4—41no—
1979C4—41no—
1980C4—41no—
1981C4—41no—
1982C4—41no—
1983C4—41no—
1984C4—62no—
1985C4—62no—
1986C4—121no—
1987C4—121no—
1988C4—121no—
1989C4—121no—
1990C4—121no—
1991C4—121no—
1992C4—121no—
1993C4—121no—
1994C4—121no—
1995C4—121no—
1996C3#5900611yescharacteristic, complemented, Sylow
1997C2—24no—
1998C2—24no—
1999C2—42no—
2000C2—42no—
2001C2—64no—
2002C2—81no—
2003C2—122no—
2004C2—122no—
2005C2—122no—
2006C2C2×#549011yescharacteristic
2007C2C2×#555611yescharacteristic
2008C2#8586811yescharacteristic
2009C2#8662011yescharacteristic
2010C2#8662211yescharacteristic
2011C2D3×#54611yescharacteristic
2012C2#8666411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×D4×C22⋊C4C2
prime radicalC22×#937C2
hypercenterD4×C22⋊C4D3
hypocenterC3#59006
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ D4×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#5556C2semidirect
3. C3×D4×C22⋊C4C2semidirect
4. #84047C2semidirect
5. #82414C2semidirect
6. #82404C2semidirect
7. #82398C2semidirect
8. #82126C2semidirect
9. C22⋊C4×#67C2semidirect
10. C2×#4955C2semidirect
11. #82110C2semidirect
12. #76468C2semidirect
13. #76467C2semidirect
14. #76437C2semidirect
15. #76330C2semidirect
16. #74924C2semidirect
17. #74919C2semidirect
18. #74901C2semidirect
19. #74892C2semidirect
20. #74890C2semidirect
21. #74889C2semidirect
22. #74728C2semidirect
23. #74690C2semidirect
24. #73909C2semidirect
25. #73896C2semidirect
26. #73853C2semidirect
27. D3×#379C2semidirect
28. #73827C2semidirect
29. #73822C2semidirect
30. #73596C2semidirect
31. #73574C2semidirect
37. C2×C3×C4×D4C22semidirect
38. C2×C3×C4×D4C22semidirect
40. C22×C3×C22⋊C4C22semidirect
52. C2×#935C22semidirect
53. C2×#935C22semidirect
54. C2×#929C22semidirect
55. C2×#929C22semidirect
56. C2×C4×#67C22semidirect
57. C2×C4×#67C22semidirect
60. C22×(C2×D3)⋊C4C22semidirect
61. C22×(C2×D3)⋊C4C22semidirect
62. C22×(C2×D3)⋊C4C22semidirect
63. C22×(C2×D3)⋊C4C22semidirect
64. C2×#924C22semidirect
66. C2×#898C22semidirect
67. C2×#896C22semidirect
68. C2×#885C22semidirect
69. C2×#885C22semidirect
70. C2×#883C22semidirect
71. C2×#883C22semidirect
74. C2×D3×C22⋊C4C22semidirect
75. C2×D3×C22⋊C4C22semidirect
76. C2×D3×C22⋊C4C22semidirect
77. C2×D3×C22⋊C4C22semidirect
78. C2×#878C22semidirect
79. C2×#877C22semidirect
80. C2×#876C22semidirect
81. C2×#872C22semidirect
82. C3×#390C22semidirect
83. C3×#390C22semidirect
84. C3×#386C22semidirect
85. C3×#386C22semidirect
86. C3×#386C22semidirect
87. C3×#386C22semidirect
88. C3×#380C22semidirect
90. C3×#379C22semidirect
91. C3×C4×C22⋊C4C22semidirect
93. #5247C22semidirect
94. #5247C22semidirect
95. #5222C22semidirect
96. #5222C22semidirect
97. #5222C22semidirect
98. #5222C22semidirect
99. #5220C22semidirect
100. #5220C22semidirect
101. #5213C22semidirect
102. #5213C22semidirect
103. #5213C22semidirect
104. #5213C22semidirect
105. #5212C22semidirect
106. #5210C22semidirect
107. #5210C22semidirect
108. #5210C22semidirect
109. #5210C22semidirect
110. #4994C22semidirect
111. #4994C22semidirect
112. #4993C22semidirect
113. #4992C22semidirect
114. #4990C22semidirect
115. #4989C22semidirect
116. #4961C22semidirect
117. #4961C22semidirect
118. #4961C22semidirect
119. #4961C22semidirect
120. #4959C22semidirect
121. #4959C22semidirect
122. #4959C22semidirect
123. #4959C22semidirect
124. #4959C22semidirect
125. #4959C22semidirect
126. #4959C22semidirect
127. #4959C22semidirect
128. #4957C22semidirect
129. #4957C22semidirect
130. #4957C22semidirect
131. #4957C22semidirect
132. #4956C22semidirect
133. #4956C22semidirect
134. #4956C22semidirect
135. #4956C22semidirect
142. #4955C22semidirect
143. #4955C22semidirect
144. #4955C22semidirect
145. #4955C22semidirect
146. #4955C22semidirect
147. #4955C22semidirect
148. #4955C22semidirect
149. #4955C22semidirect
150. #4950C22semidirect
151. #4949C22semidirect
152. #4948C22semidirect
153. #4948C22semidirect
154. #4947C22semidirect
155. #4946C22semidirect
156. #4946C22semidirect
157. #4946C22semidirect
158. #4945C22semidirect
159. #4945C22semidirect
160. #4944C22semidirect
161. #4944C22semidirect
162. #4943C22semidirect
163. #4942C22semidirect
164. #4942C22semidirect
165. Dic3×C22⋊C4C22semidirect
166. Dic3×C22⋊C4C22semidirect
167. Dic3×C22⋊C4C22semidirect
168. #4940C22semidirect
169. #4940C22semidirect
170. #4940C22semidirect
171. #4940C22semidirect
172. #4940C22semidirect
173. C4×(C2×D3)⋊C4C22semidirect
174. #4676C22semidirect
175. #4676C22semidirect
176. #4675C22semidirect
177. #4675C22semidirect
178. #4675C22semidirect
179. #4675C22semidirect
180. #4674C22semidirect
181. #4673C22semidirect
182. #4670C22semidirect
183. #4669C22semidirect
184. #4669C22semidirect
185. #4669C22semidirect
186. #4668C22semidirect
187. #4667C22semidirect
188. #4667C22semidirect
189. #4664C22semidirect
218. D4×C22⋊C4D3semidirect
246. C23×C3×C4C23semidirect
247. C23×C3×C4C23semidirect
270. C22×Dic6C23semidirect
273. C2×C3×C4⋊C4C23semidirect
274. C2×C3×C4⋊C4C23semidirect
287. C2×C3×C22⋊C4C23semidirect
288. C2×C3×C22⋊C4C23semidirect
289. C2×C3×C22⋊C4C23semidirect
290. C2×C3×C22⋊C4C23semidirect
291. C2×C3×C22⋊C4C23semidirect
292. C2×C3×C22⋊C4C23semidirect
293. C2×C3×C42C23semidirect
294. C2×C3×C42C23semidirect
311. C2×#217C23semidirect
312. C2×#217C23semidirect
313. C2×#217C23semidirect
314. C2×#217C23semidirect
315. C2×#217C23semidirect
316. C2×#217C23semidirect
317. C2×#217C23semidirect
318. C2×#217C23semidirect
375. C2×C4⋊Dic3C23semidirect
376. C2×C4⋊Dic3C23semidirect
377. C2×C4⋊Dic3C23semidirect
379. C2×Dic3⋊C4C23semidirect
380. C2×Dic3⋊C4C23semidirect
381. C2×Dic3⋊C4C23semidirect
382. C2×Dic3⋊C4C23semidirect
383. C2×Dic3⋊C4C23semidirect
384. C2×Dic3⋊C4C23semidirect
385. C2×Dic3⋊C4C23semidirect
386. C2×Dic3⋊C4C23semidirect
387. C2×Dic3⋊C4C23semidirect
388. C2×Dic3⋊C4C23semidirect
389. C2×Dic3⋊C4C23semidirect
390. C2×Dic3⋊C4C23semidirect
391. C2×Dic3⋊C4C23semidirect
392. C2×Dic3⋊C4C23semidirect
393. C2×C4×Dic3C23semidirect
394. C2×C4×Dic3C23semidirect
395. C2×C4×Dic3C23semidirect
396. C2×C4×Dic3C23semidirect
413. C3×#95C23semidirect
414. C3×#95C23semidirect
415. C3×#95C23semidirect
416. C3×#95C23semidirect
417. C3⋊#95C23semidirect
418. C3⋊#95C23semidirect
419. C3⋊#95C23semidirect
420. C3⋊#95C23semidirect
421. C3⋊#95C23semidirect
422. C3⋊#95C23semidirect
423. C3⋊#95C23semidirect
424. C3⋊#95C23semidirect
425. C3⋊#95C23semidirect
426. C3⋊#95C23semidirect
427. C3⋊#95C23semidirect
428. C3⋊#95C23semidirect
429. C3⋊#95C23semidirect
430. C3⋊#95C23semidirect
431. C3⋊#95C23semidirect
432. C3⋊#95C23semidirect
433. C3⋊#95C23semidirect
434. C3⋊#95C23semidirect
464. C2×C4×D4C2×D3semidirect
465. C2×C4×D4C2×D3semidirect
483. C22×C22⋊C4C2×D3semidirect
520. #390C2×D3semidirect
521. #390C2×D3semidirect
546. #386C2×D3semidirect
547. #386C2×D3semidirect
548. #386C2×D3semidirect
549. #386C2×D3semidirect
567. #380C2×D3semidirect
586. #379C2×D3semidirect
591. C4×C22⋊C4C2×D3semidirect
914. C23×C4C22×D3semidirect
915. C23×C4C22×D3semidirect
960. C2×C4⋊C4C22×D3semidirect
961. C2×C4⋊C4C22×D3semidirect
1046. C2×C22⋊C4C22×D3semidirect
1047. C2×C22⋊C4C22×D3semidirect
1048. C2×C22⋊C4C22×D3semidirect
1049. C2×C22⋊C4C22×D3semidirect
1050. C2×C22⋊C4C22×D3semidirect
1051. C2×C22⋊C4C22×D3semidirect
1056. C2×C42C22×D3semidirect
1057. C2×C42C22×D3semidirect
1076. #95C22×D3semidirect
1077. #95C22×D3semidirect
1078. #95C22×D3semidirect
1079. #95C22×D3semidirect
1603. C22×C3#551semidirect
1966. C22#5556semidirect
1996. C3#59006semidirect

Maximal subgroups

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

subgroupindex
C22×#9372
C2×#55562
C3×D4×C22⋊C42
#840472
#824142
#824042
#823982
#821262
C22⋊C4×#672
C2×#49552
#821102
#764682
#764672
#764372
#763302
#749242
#749192
#749012
#748922
#748902
#748892
#747282
#746902
#739092
#738962
#738532
D3×#3792
#738272
#738222
#735962
#735742
#590063