Finite Group Databasebeta

← #10956142

Subgroups — #10956142

Order 768.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5545C211yesmaximal, characteristic
2C3×#2318C211yesmaximal, characteristic, complemented
3#82318C211yesmaximal, characteristic, complemented
4#75835C211yesmaximal, characteristic, complemented
5#75834C211yesmaximal, characteristic, complemented
6#75833C211yesmaximal, characteristic, complemented
7#75832C211yesmaximal, characteristic, complemented
8#75306C211yesmaximal, characteristic, complemented
9#75305C211yesmaximal, characteristic, complemented
10#75304C211yesmaximal, characteristic, complemented
11#75303C211yesmaximal, characteristic, complemented
12#74874C211yesmaximal, characteristic
13D3×#386C211yesmaximal, characteristic
14#74663C211yesmaximal, characteristic, complemented
15#74657C211yesmaximal, characteristic, complemented
16#74591C211yesmaximal, characteristic, complemented
17D3×#385C211yesmaximal, characteristic, complemented
18#74383C211yesmaximal, characteristic, complemented
19#74377C211yesmaximal, characteristic, complemented
20#74297C211yesmaximal, characteristic, complemented
21#74296C211yesmaximal, characteristic, complemented
22#74229C211yesmaximal, characteristic, complemented
23#74227C211yesmaximal, characteristic, complemented
24#74123C211yesmaximal, characteristic, complemented
25#74122C211yesmaximal, characteristic, complemented
26#74012C211yesmaximal, characteristic, complemented
27#74009C211yesmaximal, characteristic, complemented
28#73560C211yesmaximal, characteristic, complemented
29#73438C211yesmaximal, characteristic, complemented
30#73367C211yesmaximal, characteristic, complemented
31C2×#4666C211yesmaximal, characteristic, complemented
32#34251—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×C4×D4C2211yescharacteristic
36C2×D4×Dic3C2211yescharacteristic
37C2×C4×#67C2211yescharacteristic
38C2×C4×#67C2211yescharacteristic
39C22×(C2×D3)⋊C4C2211yescharacteristic
40C22×(C2×D3)⋊C4C2211yescharacteristic
41C22×(C2×D3)⋊C4C2211yescharacteristic
42C2×#926C2211yescharacteristic, complemented
43C22×C4×Dic3C2211yescharacteristic, complemented
44C22×C4×Dic3C2211yescharacteristic, complemented
45#5545C4116yescomplemented
46C2×#893C2211yescharacteristic
47C2×#892C2211yescharacteristic
48C2×#892C2211yescharacteristic, complemented
49C2×D3×C4⋊C4C2211yescharacteristic, complemented
50C2×D3×C4⋊C4C2211yescharacteristic, complemented
51C2×#67⋊C4C2211yescharacteristic
52C2×#67⋊C4C2211yescharacteristic
53C2×D3×C22⋊C4C2211yescharacteristic
54C2×D3×C22⋊C4C2211yescharacteristic
55C2×D3×C22⋊C4C2211yescharacteristic
56C2×D3×C22⋊C4C2211yescharacteristic
57C2×D3×C22⋊C4C2211yescharacteristic
58C2×D3×C22⋊C4C2211yescharacteristic
59C2×#877C2211yescharacteristic, complemented
60C2×C4×D12C2211yescharacteristic
61C2×#872C2211yescharacteristic
62C2×#872C2211yescharacteristic, complemented
63C3×#388C2211yescharacteristic, complemented
64C3×#388C2211yescharacteristic, complemented
65C3×#387C2211yescharacteristic, complemented
66C3×#387C2211yescharacteristic, complemented
67C3×#386C2211yescharacteristic
68C3×#386C2211yescharacteristic
69C3×#385C2211yescharacteristic, complemented
70C3×#385C2211yescharacteristic, complemented
71C3×#383C2211yescharacteristic, complemented
72C3×#382C2211yescharacteristic, complemented
73C3×#381C2211yescharacteristic, complemented
74C3×#380C2211yescharacteristic, complemented
75C3×C4×C22⋊C4C2211yescharacteristic, complemented
76C2×C3×#95C2211yescharacteristic, complemented
77#5220C2211yescharacteristic
78#5220C2211yescharacteristic
79#5213C2211yescharacteristic
80#5213C2211yescharacteristic
81#5210C2211yescharacteristic, complemented
82#5210C2211yescharacteristic, complemented
83C4×#217C2211yescharacteristic, complemented
84C4×#217C2211yescharacteristic, complemented
85C2×C3⋊#95C2211yescharacteristic, complemented
86#4990C2211yescharacteristic, complemented
87#4990C2211yescharacteristic, complemented
88#4989C2211yescharacteristic
89#4989C2211yescharacteristic
90#4989C2211yescharacteristic
91#4989C2211yescharacteristic
92#4987C2211yescharacteristic, complemented
93#4987C2211yescharacteristic, complemented
94#4987C2211yescharacteristic, complemented
95#4980C2211yescharacteristic, complemented
96#4980C2211yescharacteristic, complemented
97#4978C2211yescharacteristic, complemented
98#4978C2211yescharacteristic, complemented
99#4977C2211yescharacteristic, complemented
100Dic3×C4⋊C4C2211yescharacteristic, complemented
101#4958C2211yescharacteristic
102#4958C2211yescharacteristic
103#4956C2211yescharacteristic
104#4956C2211yescharacteristic
105#4956C2211yescharacteristic
106#4956C2211yescharacteristic
107#4955C2211yescharacteristic
108#4955C2211yescharacteristic
109#4951C2211yescharacteristic, complemented
110#4951C2211yescharacteristic, complemented
111#4950C2211yescharacteristic, complemented
112#4950C2211yescharacteristic, complemented
113#4946C2211yescharacteristic, complemented
114#4946C2211yescharacteristic, complemented
115#4945C2211yescharacteristic, complemented
116#4945C2211yescharacteristic, complemented
117#4944C2211yescharacteristic, complemented
118#4944C2211yescharacteristic, complemented
119#4943C2211yescharacteristic, complemented
120#4942C2211yescharacteristic, complemented
121Dic3×C22⋊C4C2211yescharacteristic, complemented
122Dic3×C22⋊C4C2211yescharacteristic, complemented
123Dic3×C22⋊C4C2211yescharacteristic, complemented
124C4×(C2×D3)⋊C4C2211yescharacteristic
125C4×(C2×D3)⋊C4C2211yescharacteristic
126C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
127C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
128C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
129C4×C4⋊Dic3C2211yescharacteristic, complemented
130#4932C2211yescharacteristic, complemented
131#4932C2211yescharacteristic, complemented
132C4×Dic3⋊C4C2211yescharacteristic, complemented
133#4670C2211yescharacteristic, complemented
134#4670C2211yescharacteristic, complemented
135#4669C2211yescharacteristic, complemented
136#4669C2211yescharacteristic, complemented
137#4669C2211yescharacteristic, complemented
138#4669C2211yescharacteristic, complemented
139#4668C2211yescharacteristic
140#4668C2211yescharacteristic
141#4668C2211yescharacteristic
142#4668C2211yescharacteristic
143#4667C2211yescharacteristic, complemented
144#4667C2211yescharacteristic, complemented
145#4667C2211yescharacteristic, complemented
146#4666C2211yescharacteristic
147#4666C2211yescharacteristic
148#4666C2211yescharacteristic
149#4666C2211yescharacteristic
150#4666C2211yescharacteristic
151#4666C2211yescharacteristic
152#4666C2211yescharacteristic, complemented
153#4666C2211yescharacteristic, complemented
154#4666C2211yescharacteristic, complemented
155#4666C2211yescharacteristic, complemented
156#4666C2211yescharacteristic, complemented
157#4666C2211yescharacteristic, complemented
158#4666C2211yescharacteristic, complemented
159#4665C2211yescharacteristic
160#4665C2211yescharacteristic
161#4665C2211yescharacteristic
162#4665C2211yescharacteristic
163#4664C2211yescharacteristic
164#4664C2211yescharacteristic
165#4664C2211yescharacteristic, complemented
166#4664C2211yescharacteristic, complemented
167D3×#95C2211yescharacteristic
168D3×#95C2211yescharacteristic
169D3×#95C2211yescharacteristic, complemented
170D3×#95C2211yescharacteristic, complemented
171#4655C2211yescharacteristic, complemented
172#4655C2211yescharacteristic, complemented
173#4654C2211yescharacteristic, complemented
174#4654C2211yescharacteristic, complemented
175#4653C2211yescharacteristic, complemented
176#4653C2211yescharacteristic, complemented
177#4652C2211yescharacteristic, complemented
178#4652C2211yescharacteristic, complemented
179#4652C2211yescharacteristic, complemented
180#4652C2211yescharacteristic, complemented
181#4651C2211yescharacteristic, complemented
182#4651C2211yescharacteristic, complemented
183#4651C2211yescharacteristic, complemented
184#4650C2211yescharacteristic, complemented
185#4650C2211yescharacteristic, complemented
186#4649C2211yescharacteristic, complemented
187#4648C2211yescharacteristic, complemented
188#4648C2211yescharacteristic, complemented
189C2×#518—31no—
190#2353—31no—
191#2353—31no—
192#2353—31no—
193#2353—31no—
194#2352—31no—
195#2352—31no—
196#2352—31no—
197#2352—31no—
198#2343—31no—
199#2343—31no—
200#2343—31no—
201#2343—31no—
202#2342—31no—
203#2342—31no—
204#2342—31no—
205#2342—31no—
206#2318—31no—
207#2318—31no—
208#2318—31no—
209#2318D311yescharacteristic, complemented
210#2315—31no—
211#2308—31no—
212#2290—31no—
213#2290—31no—
214#2290—31no—
215#2290—31no—
216C2×#386—31no—
217C2×#385—31no—
218#2273—31no—
219C2×C4×C22⋊C4—31no—
220C24×D3C2311yescharacteristic
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C2×D3×D4—24no—
234C2×D3×D4—24no—
235C2×D3×D4C2×C418yes—
236C22×D12C2311yescharacteristic
237C22×C4×D3—24no—
238C22×C4×D3—42no—
239C22×C4×D3—42no—
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C3×C4×D4C2×C418yescomplemented
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C42C2311yescharacteristic
268C2×C3×C42C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278D4×Dic3C2×C418yescomplemented
279C4×#67C2×C418yescomplemented
280C4×#67C2×C418yescomplemented
281C2×(C2×D3)⋊C4—24no—
282C2×(C2×D3)⋊C4C2×C418yes—
283C2×(C2×D3)⋊C4C2×C418yescomplemented
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308#926—42no—
309C2×C4⋊Dic3C2311yescharacteristic
310C2×C4⋊Dic3C2311yescharacteristic
311C2×C4⋊Dic3C2311yescharacteristic
312C2×C4⋊Dic3C2311yescharacteristic
313C2×C4⋊Dic3C2311yescharacteristic
314C2×Dic3⋊C4C2311yescharacteristic
315C2×Dic3⋊C4C2311yescharacteristic
316C2×Dic3⋊C4C2311yescharacteristic
317C2×Dic3⋊C4C2311yescharacteristic
318C2×Dic3⋊C4C2311yescharacteristic
319C2×Dic3⋊C4C2311yescharacteristic
320C2×Dic3⋊C4C2311yescharacteristic
321C2×Dic3⋊C4C2311yescharacteristic
322C2×Dic3⋊C4C2311yescharacteristic
323C2×Dic3⋊C4C2311yescharacteristic
324C2×C4×Dic3—42no—
325C2×C4×Dic3—42no—
326C2×C4×Dic3C2311yescharacteristic
327C2×C4×Dic3C2311yescharacteristic
328C2×C4×Dic3C2311yescharacteristic
329C2×C4×Dic3C2311yescharacteristic
330C2×C4×Dic3C2311yescharacteristic
331C2×C4×Dic3C2311yescharacteristic
332C2×C4×Dic3C2311yescharacteristic
333C2×C4×Dic3C2311yescharacteristic
334C2×C4×Dic3C2311yescharacteristic
335C2×C4×Dic3C2311yescharacteristic
336C2×C4×Dic3C2311yescharacteristic
337C2×C4×Dic3C2311yescharacteristic
338C2×C4×Dic3C2311yescharacteristic
339C2×C4×Dic3C2311yescharacteristic
340C2×C4×Dic3C2311yescharacteristic
341C2×C4×Dic3C2311yescharacteristic
342C2×C4×Dic3C2311yescharacteristic
343#893C2×C418yescomplemented
344#892—42no—
345#892C2×C418yescomplemented
346D3×C4⋊C4—42no—
347D3×C4⋊C4—42no—
348#67⋊C4C2×C418yescomplemented
349#67⋊C4C2×C418yescomplemented
350D3×C22⋊C4—24no—
351D3×C22⋊C4—24no—
352D3×C22⋊C4—42no—
353D3×C22⋊C4—42no—
354D3×C22⋊C4C2×C418yes—
355D3×C22⋊C4C2×C418yescomplemented
356#877—42no—
357C4×D12C2×C418yescomplemented
358#872—42no—
359#872C2×C418yescomplemented
360C3×#95C2311yescharacteristic
361C3×#95C2311yescharacteristic
362C3×#95C2311yescharacteristic
363C3×#95C2311yescharacteristic
364C3×#95C2311yescharacteristic
365C3×#95C2311yescharacteristic
366C3×#95C2311yescharacteristic
367C3×#95C2311yescharacteristic
368C3×#95C2311yescharacteristic
369C3×#95C2311yescharacteristic
370C3×#95C2311yescharacteristic
371C3×#95C2311yescharacteristic
372C3×#95C2311yescharacteristic
373C3×#95C2311yescharacteristic
374C3⋊#95C2311yescharacteristic
375C3⋊#95C2311yescharacteristic
376C3⋊#95C2311yescharacteristic
377C3⋊#95C2311yescharacteristic
378C3⋊#95C2311yescharacteristic
379C3⋊#95C2311yescharacteristic
380C3⋊#95C2311yescharacteristic
381C3⋊#95C2311yescharacteristic
382C3⋊#95C2311yescharacteristic
383C3⋊#95C2311yescharacteristic
384C3⋊#95C2311yescharacteristic
385C3⋊#95C2311yescharacteristic
386C3⋊#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C23×D4—31no—
409C24×C4—31no—
410#518—316no—
411C2×C4×D4—31no—
412C2×C4×D4—31no—
413C2×C4×D4—31no—
414C2×C4×D4—31no—
415C2×C4×D4—31no—
416C2×C4×D4—31no—
417C2×C4×D4—31no—
418C2×C4×D4C2×D311yescharacteristic
419C2×#117—31no—
420C2×#117—31no—
421C2×#117—31no—
422C2×#117—31no—
423C2×#117—31no—
424C2×#117—31no—
425C22×C4⋊C4—31no—
426C22×C4⋊C4—31no—
427C22×C22⋊C4—31no—
428C22×C22⋊C4—31no—
429C22×C22⋊C4—31no—
430C22×C22⋊C4—31no—
431C22×C22⋊C4—31no—
432C22×C22⋊C4—31no—
433C22×C22⋊C4—31no—
434C22×C22⋊C4—31no—
435C22×C22⋊C4—31no—
436C22×C42—31no—
437C22×C42—31no—
438#388—31no—
439#388—31no—
440#388—31no—
441#388—31no—
442#388—31no—
443#388—31no—
444#388—31no—
445#388—31no—
446#388—31no—
447#388—31no—
448#388—31no—
449#388—31no—
450#388—31no—
451#388—31no—
452#388C2×D311yescharacteristic, complemented
453#388C2×D311yescharacteristic, complemented
454#387—31no—
455#387—31no—
456#387—31no—
457#387—31no—
458#387—31no—
459#387—31no—
460#387—31no—
461#387—31no—
462#387—31no—
463#387—31no—
464#387—31no—
465#387—31no—
466#387—31no—
467#387—31no—
468#387C2×D311yescharacteristic, complemented
469#387C2×D311yescharacteristic, complemented
470#386—31no—
471#386—31no—
472#386—31no—
473#386—31no—
474#386—31no—
475#386—31no—
476#386—31no—
477#386—31no—
478#386—31no—
479#386—31no—
480#386—31no—
481#386—31no—
482#386—31no—
483#386—31no—
484#386C2×D311yescharacteristic
485#386C2×D311yescharacteristic
486#385—31no—
487#385—31no—
488#385—31no—
489#385—31no—
490#385—31no—
491#385—31no—
492#385—31no—
493#385—31no—
494#385—31no—
495#385—31no—
496#385—31no—
497#385—31no—
498#385—31no—
499#385—31no—
500#385C2×D311yescharacteristic, complemented
501#385C2×D311yescharacteristic, complemented
502#383—31no—
503#383—31no—
504#383—31no—
505#383C2×D311yescharacteristic, complemented
506#382—31no—
507#382—31no—
508#382—31no—
509#382C2×D311yescharacteristic, complemented
510#381—31no—
511#381—31no—
512#381—31no—
513#381—31no—
514#381—31no—
515#381C2×D311yescharacteristic, complemented
516#380—31no—
517#380—31no—
518#380—31no—
519#380—31no—
520#380—31no—
521#380—31no—
522#380—31no—
523#380C2×D311yescharacteristic, complemented
524#379—31no—
525#379—31no—
526C4×C4⋊C4—31no—
527C4×C4⋊C4—31no—
528C4×C4⋊C4—31no—
529C4×C4⋊C4—31no—
530C4×C22⋊C4—31no—
531C4×C22⋊C4—31no—
532C4×C22⋊C4—31no—
533C4×C22⋊C4—31no—
534C4×C22⋊C4—31no—
535C4×C22⋊C4—31no—
536C4×C22⋊C4—31no—
537C4×C22⋊C4—31no—
538C4×C22⋊C4—31no—
539C4×C22⋊C4—31no—
540C4×C22⋊C4—31no—
541C4×C22⋊C4—31no—
542C4×C22⋊C4—31no—
543C4×C22⋊C4—31no—
544C4×C22⋊C4—31no—
545C4×C22⋊C4—31no—
546C4×C22⋊C4—31no—
547C4×C22⋊C4—31no—
548C4×C22⋊C4—31no—
549C4×C22⋊C4—31no—
550C4×C22⋊C4—31no—
551C4×C22⋊C4—31no—
552C4×C22⋊C4—31no—
553C4×C22⋊C4C2×D311yescharacteristic, complemented
554#376—31no—
555#376—31no—
556#376—31no—
557#376—31no—
558C2×#95—31no—
559C2×#95—31no—
560C2×#95—31no—
561C2×#95—31no—
562C2×#95—31no—
563C2×#95C2×D311yescharacteristic, complemented
564C24×C3C2411yescharacteristic
565C24×C3C2411yescharacteristic
566C23×D3—22no—
567C23×D3—22no—
568C23×D3—41no—
569C23×D3—41no—
570C23×D3—41no—
571C23×D3—41no—
572C23×D3—41no—
573C23×D3—41no—
574C23×D3—41no—
575C23×D3—41no—
576C23×D3C22×C414yes—
577C23×D3C22×C414yes—
578C23×D3#4114yes—
579C23×D3#4114yes—
580C23×D3C2411yescharacteristic
581C23×D3C2411yescharacteristic
582C23×D3C2411yescharacteristic
583C2×C3×D4—22no—
584C2×C3×D4—22no—
585C2×C3×D4C22×C414yes—
586C22×C3×C4—22no—
587C22×C3×C4—22no—
588C22×C3×C4—41no—
589C22×C3×C4—41no—
590C22×C3×C4—41no—
591C22×C3×C4—41no—
592C22×C3×C4—41no—
593C22×C3×C4—41no—
594C22×C3×C4—41no—
595C22×C3×C4—41no—
596C22×C3×C4C22×C414yes—
597C22×C3×C4C22×C414yescomplemented
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C2×#67—22no—
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67C22×C414yes—
616C2×#67C22×C414yes—
617C22×Dic3—22no—
618C22×Dic3—22no—
619C22×Dic3—22no—
620C22×Dic3—22no—
621C22×Dic3—41no—
622C22×Dic3—41no—
623C22×Dic3—41no—
624C22×Dic3—41no—
625C22×Dic3—41no—
626C22×Dic3—41no—
627C22×Dic3C22×C414yes—
628C22×Dic3C22×C414yescomplemented
629C22×Dic3C2411yescharacteristic
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642D3×D4—232no—
643C2×D12—22no—
644C2×D12—22no—
645C2×D12C22×C414yes—
646C2×C4×D3—22no—
647C2×C4×D3—22no—
648C2×C4×D3—22no—
649C2×C4×D3—22no—
650C2×C4×D3—22no—
651C2×C4×D3—22no—
652C2×C4×D3—22no—
653C2×C4×D3—22no—
654C2×C4×D3—22no—
655C2×C4×D3—22no—
656C2×C4×D3—22no—
657C2×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—41no—
661C2×C4×D3—41no—
662C2×C4×D3—41no—
663C2×C4×D3—41no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×C4×D3—416no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3—41no—
681C2×C4×D3C22×C414yes—
682C2×C4×D3C22×C414yes—
683C2×C4×D3C22×C414yes—
684C2×C4×D3C22×C414yescomplemented
685C2×C4×D3C22×C414yescomplemented
686C3×C4⋊C4—41no—
687C3×C4⋊C4—41no—
688C3×C4⋊C4—41no—
689C3×C4⋊C4—41no—
690C3×C4⋊C4C22×C414yescomplemented
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—41no—
694C3×C22⋊C4—41no—
695C3×C22⋊C4—41no—
696C3×C22⋊C4—41no—
697C3×C22⋊C4C22×C414yes—
698C3×C22⋊C4C22×C414yescomplemented
699C3×C42—41no—
700C3×C42—41no—
701C3×C42C22×C414yescomplemented
702#217—22no—
703#217—22no—
704#217—22no—
705#217—22no—
706#217—41no—
707#217—41no—
708#217C22×C414yes—
709#217C22×C414yescomplemented
710(C2×D3)⋊C4—22no—
711(C2×D3)⋊C4—22no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—41no—
721(C2×D3)⋊C4—41no—
722(C2×D3)⋊C4—41no—
723(C2×D3)⋊C4—41no—
724(C2×D3)⋊C4—41no—
725(C2×D3)⋊C4—41no—
726(C2×D3)⋊C4C22×C414yes—
727(C2×D3)⋊C4C22×C414yes—
728(C2×D3)⋊C4C22×C414yes—
729(C2×D3)⋊C4C22×C414yes—
730(C2×D3)⋊C4C22×C414yes—
731(C2×D3)⋊C4C22×C414yes—
732(C2×D3)⋊C4C22×C414yescomplemented
733(C2×D3)⋊C4C22×C414yescomplemented
734C4⋊Dic3—22no—
735C4⋊Dic3—22no—
736C4⋊Dic3—41no—
737C4⋊Dic3—41no—
738C4⋊Dic3C22×C414yescomplemented
739Dic3⋊C4—22no—
740Dic3⋊C4—22no—
741Dic3⋊C4—41no—
742Dic3⋊C4—41no—
743Dic3⋊C4—41no—
744Dic3⋊C4—41no—
745Dic3⋊C4—41no—
746Dic3⋊C4—41no—
747Dic3⋊C4C22×C414yescomplemented
748Dic3⋊C4C22×C414yescomplemented
749C4×Dic3—22no—
750C4×Dic3—22no—
751C4×Dic3—22no—
752C4×Dic3—22no—
753C4×Dic3—41no—
754C4×Dic3—41no—
755C4×Dic3—41no—
756C4×Dic3—41no—
757C4×Dic3—41no—
758C4×Dic3—41no—
759C4×Dic3—41no—
760C4×Dic3—41no—
761C4×Dic3—41no—
762C4×Dic3—41no—
763C4×Dic3C22×C414yescomplemented
764C4×Dic3C22×C414yescomplemented
765C4×Dic3C22×C414yescomplemented
766C25—31no—
767C25—31no—
768C22×D4—31no—
769C22×D4—31no—
770C22×D4—38no—
771C22×D4—31no—
772C22×D4—64no—
773C22×D4—64no—
774C22×D4C22×D311yescharacteristic
775C23×C4—31no—
776C23×C4—31no—
777C23×C4—31no—
778C23×C4—31no—
779C23×C4—31no—
780C23×C4—31no—
781C23×C4—31no—
782C23×C4—31no—
783C23×C4—31no—
784C23×C4—31no—
785C23×C4—31no—
786C23×C4—31no—
787C23×C4—31no—
788C23×C4—31no—
789C23×C4—31no—
790C23×C4—31no—
791C23×C4—31no—
792C23×C4—64no—
793C23×C4—122no—
794C23×C4—122no—
795C23×C4C22×D311yescharacteristic
796C23×C4C22×D311yescharacteristic
797C23×C4C22×D311yescharacteristic
798C23×C4C22×D311yescharacteristic
799C4×D4—38no—
800C4×D4—38no—
801C4×D4—38no—
802C4×D4—38no—
803C4×D4—38no—
804C4×D4—38no—
805C4×D4—38no—
806C4×D4C4×D318yescomplemented
807#117—38no—
808#117—38no—
809#117—122no—
810#117—122no—
811#117—122no—
812#117—122no—
813C2×C4⋊C4—31no—
814C2×C4⋊C4—31no—
815C2×C4⋊C4—31no—
816C2×C4⋊C4—31no—
817C2×C4⋊C4—31no—
818C2×C4⋊C4—31no—
819C2×C4⋊C4—31no—
820C2×C4⋊C4—31no—
821C2×C4⋊C4—31no—
822C2×C4⋊C4—31no—
823C2×C4⋊C4—31no—
824C2×C4⋊C4—31no—
825C2×C4⋊C4—31no—
826C2×C4⋊C4—31no—
827C2×C4⋊C4—31no—
828C2×C4⋊C4—122no—
829C2×C4⋊C4—122no—
830C2×C4⋊C4C22×D311yescharacteristic
831C2×C4⋊C4C22×D311yescharacteristic
832C2×C4⋊C4C22×D311yescharacteristic
833C2×C4⋊C4C22×D311yescharacteristic
834C2×C4⋊C4C22×D311yescharacteristic
835C2×C22⋊C4—31no—
836C2×C22⋊C4—31no—
837C2×C22⋊C4—38no—
838C2×C22⋊C4—38no—
839C2×C22⋊C4—31no—
840C2×C22⋊C4—31no—
841C2×C22⋊C4—31no—
842C2×C22⋊C4—31no—
843C2×C22⋊C4—31no—
844C2×C22⋊C4—31no—
845C2×C22⋊C4—31no—
846C2×C22⋊C4—31no—
847C2×C22⋊C4—38no—
848C2×C22⋊C4—38no—
849C2×C22⋊C4—31no—
850C2×C22⋊C4—31no—
851C2×C22⋊C4—31no—
852C2×C22⋊C4—31no—
853C2×C22⋊C4—31no—
854C2×C22⋊C4—31no—
855C2×C22⋊C4—31no—
856C2×C22⋊C4—31no—
857C2×C22⋊C4—31no—
858C2×C22⋊C4—31no—
859C2×C22⋊C4—31no—
860C2×C22⋊C4—31no—
861C2×C22⋊C4—31no—
862C2×C22⋊C4—31no—
863C2×C22⋊C4—31no—
864C2×C22⋊C4—31no—
865C2×C22⋊C4—31no—
866C2×C22⋊C4—31no—
867C2×C22⋊C4—31no—
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—64no—
872C2×C22⋊C4—64no—
873C2×C22⋊C4—64no—
874C2×C22⋊C4—122no—
875C2×C22⋊C4—122no—
876C2×C22⋊C4C22×D311yescharacteristic
877C2×C22⋊C4C22×D311yescharacteristic
878C2×C22⋊C4C22×D311yescharacteristic
879C2×C22⋊C4C22×D311yescharacteristic
880C2×C22⋊C4C22×D311yescharacteristic
881C2×C22⋊C4C22×D311yescharacteristic
882C2×C22⋊C4C22×D311yescharacteristic
883C2×C22⋊C4C22×D311yescharacteristic
884C2×C42—31no—
885C2×C42—31no—
886C2×C42—31no—
887C2×C42—31no—
888C2×C42—31no—
889C2×C42—31no—
890C2×C42—31no—
891C2×C42—31no—
892C2×C42—31no—
893C2×C42—31no—
894C2×C42—31no—
895C2×C42—31no—
896C2×C42—31no—
897C2×C42—31no—
898C2×C42—31no—
899C2×C42—31no—
900C2×C42—31no—
901C2×C42—122no—
902C2×C42—122no—
903C2×C42C22×D311yescharacteristic
904C2×C42C22×D311yescharacteristic
905C2×C42C22×D311yescharacteristic
906#95—31no—
907#95—31no—
908#95—31no—
909#95—31no—
910#95—31no—
911#95—31no—
912#95—31no—
913#95—31no—
914#95—31no—
915#95—31no—
916#95—31no—
917#95—31no—
918#95—31no—
919#95—31no—
920#95—31no—
921#95—31no—
922#95—31no—
923#95—31no—
924#95—31no—
925#95—31no—
926#95—31no—
927#95—31no—
928#95—31no—
929#95—31no—
930#95—31no—
931#95—31no—
932#95—31no—
933#95—31no—
934#95—31no—
935#95—31no—
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95C22×D311yescharacteristic
941#95C22×D311yescharacteristic
942#95C22×D311yescharacteristic
943#95C22×D311yescharacteristic
944#95C22×D311yescharacteristic
945#95C22×D311yescharacteristic
946#95C22×D311yescharacteristic
947#95C22×D311yescharacteristic
948#95C22×D311yescharacteristic
949#95C22×D311yescharacteristic
950#95C22×D311yescharacteristic
951#95C22×D311yescharacteristic
952#95C22×D311yescharacteristic
953#95C22×D311yescharacteristic
954C23×C3—21no—
955C23×C3—21no—
956C23×C3—21no—
957C23×C3—21no—
958C23×C3—21no—
959C23×C3—21no—
960C23×C3—21no—
961C23×C3—21no—
962C23×C3—21no—
963C23×C3—21no—
964C23×C3C23×C412yes—
965C23×C3C23×C412yes—
966C23×C3C2×#4112yes—
967C23×C3C2×#4112yes—
968C23×C3C2511yescharacteristic
969C22×D3—21no—
970C22×D3—21no—
971C22×D3—21no—
972C22×D3—21no—
973C22×D3—21no—
974C22×D3—21no—
975C22×D3—21no—
976C22×D3—21no—
977C22×D3—21no—
978C22×D3—21no—
979C22×D3—21no—
980C22×D3—21no—
981C22×D3—21no—
982C22×D3—21no—
983C22×D3—28no—
984C22×D3—44no—
985C22×D3—44no—
986C22×D3—44no—
987C22×D3—44no—
988C22×D3—44no—
989C22×D3—44no—
990C22×D3—44no—
991C22×D3—44no—
992C22×D3—82no—
993C22×D3—82no—
994C22×D3—82no—
995C22×D3—82no—
996C22×D3#117116yescomplemented
997C22×D3C23×C412yes—
998C22×D3C23×C412yes—
999C22×D3C23×C412yes—
1000C22×D3C2×#4112yes—
1001C22×D3C2×#4112yes—
1002C22×D3C2×#4112yes—
1003C22×D3C2×#4112yes—
1004C3×D4—28no—
1005C2×C3×C4—21no—
1006C2×C3×C4—21no—
1007C2×C3×C4—21no—
1008C2×C3×C4—21no—
1009C2×C3×C4—21no—
1010C2×C3×C4—21no—
1011C2×C3×C4—21no—
1012C2×C3×C4—21no—
1013C2×C3×C4—21no—
1014C2×C3×C4—21no—
1015C2×C3×C4—21no—
1016C2×C3×C4—21no—
1017C2×C3×C4—21no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—44no—
1040C2×C3×C4—44no—
1041C2×C3×C4—44no—
1042C2×C3×C4—44no—
1043C2×C3×C4C23×C412yes—
1044C2×C3×C4C23×C412yes—
1045C2×C3×C4C23×C412yes—
1046C2×C3×C4C23×C412yes—
1047C2×C3×C4C23×C412yes—
1048#67—28no—
1049#67—28no—
1050C2×Dic3—28no—
1051C2×Dic3—21no—
1052C2×Dic3—21no—
1053C2×Dic3—21no—
1054C2×Dic3—21no—
1055C2×Dic3—21no—
1056C2×Dic3—21no—
1057C2×Dic3—21no—
1058C2×Dic3—21no—
1059C2×Dic3—21no—
1060C2×Dic3—21no—
1061C2×Dic3—21no—
1062C2×Dic3—21no—
1063C2×Dic3—21no—
1064C2×Dic3—21no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—44no—
1084C2×Dic3—44no—
1085C2×Dic3—44no—
1086C2×Dic3C23×C412yes—
1087C2×Dic3C23×C412yes—
1088C2×Dic3C23×C412yes—
1089C2×Dic3C23×C412yes—
1090C2×Dic3C23×C412yes—
1091C2×Dic3H(5,𝔽2)12yes—
1092C2×Dic3H(5,𝔽2)12yes—
1093D12—28no—
1094C4×D3—28no—
1095C4×D3—44no—
1096C4×D3—44no—
1097C4×D3—44no—
1098C4×D3—44no—
1099C4×D3—44no—
1100C4×D3—44no—
1101C4×D3—44no—
1102C4×D3—44no—
1103C4×D3—82no—
1104C4×D3—82no—
1105C4×D3—82no—
1106C4×D3—82no—
1107C24—31no—
1108C24—31no—
1109C24—34no—
1110C24—34no—
1111C24—34no—
1112C24—31no—
1113C24—34no—
1114C24—62no—
1115C24—62no—
1116C24—121no—
1117C24—121no—
1118C24—121no—
1119C24—121no—
1120C24—121no—
1121C24—121no—
1122C24—121no—
1123C24—121no—
1124C24C23×D311yescharacteristic
1125C24C23×D311yescharacteristic
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—34no—
1129C2×D4—34no—
1130C2×D4—34no—
1131C2×D4—62no—
1132C2×D4—62no—
1133C2×D4—632no—
1134C2×D4—62no—
1135C2×D4—62no—
1136C2×D4—62no—
1137C2×D4—62no—
1138C2×D4C2×C4×D314yes—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—31no—
1142C22×C4—31no—
1143C22×C4—31no—
1144C22×C4—31no—
1145C22×C4—31no—
1146C22×C4—31no—
1147C22×C4—31no—
1148C22×C4—34no—
1149C22×C4—34no—
1150C22×C4—34no—
1151C22×C4—34no—
1152C22×C4—34no—
1153C22×C4—34no—
1154C22×C4—34no—
1155C22×C4—31no—
1156C22×C4—31no—
1157C22×C4—31no—
1158C22×C4—31no—
1159C22×C4—31no—
1160C22×C4—31no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—62no—
1170C22×C4—62no—
1171C22×C4—62no—
1172C22×C4—62no—
1173C22×C4—62no—
1174C22×C4—62no—
1175C22×C4—62no—
1176C22×C4—62no—
1177C22×C4—62no—
1178C22×C4—62no—
1179C22×C4—62no—
1180C22×C4—62no—
1181C22×C4—62no—
1182C22×C4—62no—
1183C22×C4—62no—
1184C22×C4—62no—
1185C22×C4—62no—
1186C22×C4—62no—
1187C22×C4—121no—
1188C22×C4—121no—
1189C22×C4—121no—
1190C22×C4—121no—
1191C22×C4—121no—
1192C22×C4—121no—
1193C22×C4—121no—
1194C22×C4—121no—
1195C22×C4—121no—
1196C22×C4—121no—
1197C22×C4—121no—
1198C22×C4—121no—
1199C22×C4—121no—
1200C22×C4—121no—
1201C22×C4—121no—
1202C22×C4—121no—
1203C22×C4—121no—
1204C22×C4—121no—
1205C22×C4—121no—
1206C22×C4—121no—
1207C22×C4—1216no—
1208C22×C4—121no—
1209C22×C4—121no—
1210C22×C4—121no—
1211C22×C4—121no—
1212C22×C4—121no—
1213C22×C4—121no—
1214C22×C4C2×C4×D314yes—
1215C22×C4C2×C4×D314yescomplemented
1216C22×C4C23×D311yescharacteristic
1217C22×C4C23×D311yescharacteristic
1218C22×C4C23×D311yescharacteristic
1219C22×C4C23×D311yescharacteristic
1220C22×C4C23×D311yescharacteristic
1221C22×C4C23×D311yescharacteristic
1222C22×C4C23×D311yescharacteristic
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C22×C4C23×D311yescharacteristic
1226C22×C4C23×D311yescharacteristic
1227C22×C4C23×D311yescharacteristic
1228C22×C4C23×D311yescharacteristic
1229C4⋊C4—34no—
1230C4⋊C4—34no—
1231C4⋊C4—34no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—62no—
1237C4⋊C4—62no—
1238C4⋊C4—62no—
1239C4⋊C4—62no—
1240C4⋊C4—121no—
1241C4⋊C4—121no—
1242C4⋊C4—121no—
1243C4⋊C4—121no—
1244C4⋊C4—121no—
1245C4⋊C4—121no—
1246C4⋊C4—121no—
1247C4⋊C4—121no—
1248C4⋊C4C2×C4×D314yescomplemented
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—34no—
1252C22⋊C4—34no—
1253C22⋊C4—34no—
1254C22⋊C4—34no—
1255C22⋊C4—34no—
1256C22⋊C4—34no—
1257C22⋊C4—34no—
1258C22⋊C4—34no—
1259C22⋊C4—34no—
1260C22⋊C4—34no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—62no—
1266C22⋊C4—62no—
1267C22⋊C4—62no—
1268C22⋊C4—62no—
1269C22⋊C4—62no—
1270C22⋊C4—62no—
1271C22⋊C4—62no—
1272C22⋊C4—62no—
1273C22⋊C4—62no—
1274C22⋊C4—62no—
1275C22⋊C4—62no—
1276C22⋊C4—62no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—121no—
1280C22⋊C4—121no—
1281C22⋊C4—121no—
1282C22⋊C4—121no—
1283C22⋊C4—121no—
1284C22⋊C4—121no—
1285C22⋊C4—121no—
1286C22⋊C4—121no—
1287C22⋊C4C2×C4×D314yes—
1288C22⋊C4C2×C4×D314yescomplemented
1289C42—34no—
1290C42—34no—
1291C42—34no—
1292C42—41no—
1293C42—41no—
1294C42—62no—
1295C42—62no—
1296C42—62no—
1297C42—62no—
1298C42—121no—
1299C42—121no—
1300C42—121no—
1301C42—121no—
1302C42—121no—
1303C42—121no—
1304C42—121no—
1305C42—121no—
1306C42—121no—
1307C42—121no—
1308C42C2×C4×D314yescomplemented
1309C22×C3—22no—
1310C22×C3—22no—
1311C22×C3—22no—
1312C22×C3—22no—
1313C22×C3—22no—
1314C22×C3—22no—
1315C22×C3—22no—
1316C22×C3—22no—
1317C22×C3—22no—
1318C22×C3—41no—
1319C22×C3—41no—
1320C22×C3—41no—
1321C22×C3—41no—
1322C22×C3C2×#11714yes—
1323C22×C3C24×C411yescharacteristic
1324C22×C3C22×#4111yescharacteristic
1325C22×C3C22×#4111yescharacteristic
1326C22×C3C2×H(5,𝔽2)11yescharacteristic
1327C22×C3C2×H(5,𝔽2)11yescharacteristic
1328C22×C3#58511yescharacteristic
1329C22×C3#58511yescharacteristic
1330C2×D3—22no—
1331C2×D3—22no—
1332C2×D3—22no—
1333C2×D3—22no—
1334C2×D3—22no—
1335C2×D3—22no—
1336C2×D3—22no—
1337C2×D3—22no—
1338C2×D3—22no—
1339C2×D3—22no—
1340C2×D3—22no—
1341C2×D3—22no—
1342C2×D3—22no—
1343C2×D3—22no—
1344C2×D3—22no—
1345C2×D3—416no—
1346C2×D3—41no—
1347C2×D3—41no—
1348C2×D3—41no—
1349C2×D3—41no—
1350C2×D3—88no—
1351C2×D3C2×#11714yes—
1352C2×D3C2×#11714yes—
1353C3×C4—22no—
1354C3×C4—22no—
1355C3×C4—22no—
1356C3×C4—22no—
1357C3×C4—22no—
1358C3×C4—41no—
1359C3×C4—41no—
1360C3×C4—41no—
1361C3×C4—41no—
1362C3×C4—41no—
1363C3×C4—41no—
1364C3×C4—41no—
1365C3×C4—41no—
1366Dic3—22no—
1367Dic3—22no—
1368Dic3—22no—
1369Dic3—22no—
1370Dic3—22no—
1371Dic3—22no—
1372Dic3—22no—
1373Dic3—41no—
1374Dic3—41no—
1375Dic3—41no—
1376Dic3—41no—
1377Dic3—41no—
1378Dic3—41no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—32no—
1390C23—32no—
1391C23—32no—
1392C23—32no—
1393C23—32no—
1394C23—32no—
1395C23—316no—
1396C23—32no—
1397C23—68no—
1398C23—61no—
1399C23—61no—
1400C23—61no—
1401C23—61no—
1402C23—61no—
1403C23—61no—
1404C23—61no—
1405C23—61no—
1406C23—61no—
1407C23—61no—
1408C23—61no—
1409C23—61no—
1410C23—61no—
1411C23—61no—
1412C23—124no—
1413C23—124no—
1414C23—124no—
1415C23—124no—
1416C23—124no—
1417C23—124no—
1418C23—124no—
1419C23—124no—
1420C23—242no—
1421C23—242no—
1422C23—242no—
1423C23—242no—
1424C23C22×C4×D312yes—
1425C23C22×C4×D312yes—
1426C23D3×#4112yes—
1427C23D3×#4112yes—
1428C23C24×D311yescharacteristic
1429D4—28no—
1430D4—68no—
1431D4—68no—
1432D4—68no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—32no—
1468C2×C4—32no—
1469C2×C4—32no—
1470C2×C4—32no—
1471C2×C4—32no—
1472C2×C4—32no—
1473C2×C4—32no—
1474C2×C4—44no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—44no—
1478C2×C4—68no—
1479C2×C4—68no—
1480C2×C4—61no—
1481C2×C4—61no—
1482C2×C4—61no—
1483C2×C4—61no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—124no—
1513C2×C4—124no—
1514C2×C4—124no—
1515C2×C4—124no—
1516C2×C4—124no—
1517C2×C4—124no—
1518C2×C4—124no—
1519C2×C4—124no—
1520C2×C4—124no—
1521C2×C4—124no—
1522C2×C4—124no—
1523C2×C4—242no—
1524C2×C4—242no—
1525C2×C4—242no—
1526C2×C4—242no—
1527C2×C4C22×C4×D312yes—
1528C2×C4C22×C4×D312yes—
1529C2×C4C22×C4×D312yes—
1530C2×C4C22×C4×D312yes—
1531C2×C4C22×C4×D312yes—
1532C2×C3—24no—
1533C2×C3—42no—
1534C2×C3C22×#11711yescharacteristic
1535C2×C3C4×H(5,𝔽2)11yescharacteristic
1536C2×C3C4×H(5,𝔽2)11yescharacteristic
1537C2×C3#349011yescharacteristic
1538C2×C3#349111yescharacteristic
1539C2×C3#350511yescharacteristic
1540C2×C3#350511yescharacteristic
1541D3—24no—
1542D3—24no—
1543D3—42no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—34no—
1554C22—34no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—62no—
1560C22—62no—
1561C22—62no—
1562C22—62no—
1563C22—62no—
1564C22—62no—
1565C22—62no—
1566C22—62no—
1567C22—62no—
1568C22—62no—
1569C22—62no—
1570C22—62no—
1571C22—62no—
1572C22—62no—
1573C22—62no—
1574C22—1216no—
1575C22—121no—
1576C22—121no—
1577C22—121no—
1578C22—121no—
1579C22—248no—
1580C22D3×#11714yes—
1581C22C23×C4×D311yescharacteristic
1582C22C2×D3×#4111yescharacteristic
1583C22C2×D3×#4111yescharacteristic
1584C22D3×H(5,𝔽2)11yescharacteristic
1585C22D3×H(5,𝔽2)11yescharacteristic
1586C22#596611yescharacteristic
1587C22#596811yescharacteristic
1588C4—22no—
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—62no—
1602C4—62no—
1603C4—62no—
1604C4—62no—
1605C4—62no—
1606C4—62no—
1607C4—62no—
1608C4—121no—
1609C4—121no—
1610C4—121no—
1611C4—121no—
1612C4—121no—
1613C4—121no—
1614C3#3425111yescharacteristic, complemented, Sylow
1615C2—24no—
1616C2—42no—
1617C2—64no—
1618C2—64no—
1619C2—122no—
1620C2C2×D3×#11711yescharacteristic
1621C2#8585711yescharacteristic
1622C2#8588611yescharacteristic
1623C2#8641411yescharacteristic
1624C2#8641511yescharacteristic
1625C2#8645311yescharacteristic
1626C2#8645411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutatorC22×C3C24×C4
FittingC3×#2318C2
socle, cosocleC23×C3C25
prime radicalC22×D3×D4C22
hypercenter#2318D3
hypocenterC3#34251
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2318

Complements

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

NH ≅ G/Ntype
2. C3×#2318C2semidirect
3. #82318C2semidirect
4. #75835C2semidirect
5. #75834C2semidirect
6. #75833C2semidirect
7. #75832C2semidirect
8. #75306C2semidirect
9. #75305C2semidirect
10. #75304C2semidirect
11. #75303C2semidirect
14. #74663C2semidirect
15. #74657C2semidirect
16. #74591C2semidirect
17. D3×#385C2semidirect
18. #74383C2semidirect
19. #74377C2semidirect
20. #74297C2semidirect
21. #74296C2semidirect
22. #74229C2semidirect
23. #74227C2semidirect
24. #74123C2semidirect
25. #74122C2semidirect
26. #74012C2semidirect
27. #74009C2semidirect
28. #73560C2semidirect
29. #73438C2semidirect
30. #73367C2semidirect
31. C2×#4666C2semidirect
42. C2×#926C22semidirect
43. C22×C4×Dic3C22semidirect
44. C22×C4×Dic3C22semidirect
45. #5545C4semidirect
48. C2×#892C22semidirect
49. C2×D3×C4⋊C4C22semidirect
50. C2×D3×C4⋊C4C22semidirect
59. C2×#877C22semidirect
62. C2×#872C22semidirect
63. C3×#388C22semidirect
64. C3×#388C22semidirect
65. C3×#387C22semidirect
66. C3×#387C22semidirect
69. C3×#385C22semidirect
70. C3×#385C22semidirect
71. C3×#383C22semidirect
72. C3×#382C22semidirect
73. C3×#381C22semidirect
74. C3×#380C22semidirect
75. C3×C4×C22⋊C4C22semidirect
76. C2×C3×#95C22semidirect
81. #5210C22semidirect
82. #5210C22semidirect
83. C4×#217C22semidirect
84. C4×#217C22semidirect
85. C2×C3⋊#95C22semidirect
86. #4990C22semidirect
87. #4990C22semidirect
92. #4987C22semidirect
93. #4987C22semidirect
94. #4987C22semidirect
95. #4980C22semidirect
96. #4980C22semidirect
97. #4978C22semidirect
98. #4978C22semidirect
99. #4977C22semidirect
100. Dic3×C4⋊C4C22semidirect
109. #4951C22semidirect
110. #4951C22semidirect
111. #4950C22semidirect
112. #4950C22semidirect
113. #4946C22semidirect
114. #4946C22semidirect
115. #4945C22semidirect
116. #4945C22semidirect
117. #4944C22semidirect
118. #4944C22semidirect
119. #4943C22semidirect
120. #4942C22semidirect
121. Dic3×C22⋊C4C22semidirect
122. Dic3×C22⋊C4C22semidirect
123. Dic3×C22⋊C4C22semidirect
126. C4×(C2×D3)⋊C4C22semidirect
127. C4×(C2×D3)⋊C4C22semidirect
128. C4×(C2×D3)⋊C4C22semidirect
129. C4×C4⋊Dic3C22semidirect
130. #4932C22semidirect
131. #4932C22semidirect
132. C4×Dic3⋊C4C22semidirect
133. #4670C22semidirect
134. #4670C22semidirect
135. #4669C22semidirect
136. #4669C22semidirect
137. #4669C22semidirect
138. #4669C22semidirect
143. #4667C22semidirect
144. #4667C22semidirect
145. #4667C22semidirect
152. #4666C22semidirect
153. #4666C22semidirect
154. #4666C22semidirect
155. #4666C22semidirect
156. #4666C22semidirect
157. #4666C22semidirect
158. #4666C22semidirect
165. #4664C22semidirect
166. #4664C22semidirect
169. D3×#95C22semidirect
170. D3×#95C22semidirect
171. #4655C22semidirect
172. #4655C22semidirect
173. #4654C22semidirect
174. #4654C22semidirect
175. #4653C22semidirect
176. #4653C22semidirect
177. #4652C22semidirect
178. #4652C22semidirect
179. #4652C22semidirect
180. #4652C22semidirect
181. #4651C22semidirect
182. #4651C22semidirect
183. #4651C22semidirect
184. #4650C22semidirect
185. #4650C22semidirect
186. #4649C22semidirect
187. #4648C22semidirect
188. #4648C22semidirect
209. #2318D3semidirect
253. C3×C4×D4C2×C4semidirect
278. D4×Dic3C2×C4semidirect
279. C4×#67C2×C4semidirect
280. C4×#67C2×C4semidirect
283. C2×(C2×D3)⋊C4C2×C4semidirect
343. #893C2×C4semidirect
345. #892C2×C4semidirect
348. #67⋊C4C2×C4semidirect
349. #67⋊C4C2×C4semidirect
355. D3×C22⋊C4C2×C4semidirect
357. C4×D12C2×C4semidirect
359. #872C2×C4semidirect
452. #388C2×D3semidirect
453. #388C2×D3semidirect
468. #387C2×D3semidirect
469. #387C2×D3semidirect
500. #385C2×D3semidirect
501. #385C2×D3semidirect
505. #383C2×D3semidirect
509. #382C2×D3semidirect
515. #381C2×D3semidirect
523. #380C2×D3semidirect
553. C4×C22⋊C4C2×D3semidirect
563. C2×#95C2×D3semidirect
597. C22×C3×C4C22×C4semidirect
628. C22×Dic3C22×C4semidirect
684. C2×C4×D3C22×C4semidirect
685. C2×C4×D3C22×C4semidirect
690. C3×C4⋊C4C22×C4semidirect
698. C3×C22⋊C4C22×C4semidirect
701. C3×C42C22×C4semidirect
709. #217C22×C4semidirect
732. (C2×D3)⋊C4C22×C4semidirect
733. (C2×D3)⋊C4C22×C4semidirect
738. C4⋊Dic3C22×C4semidirect
747. Dic3⋊C4C22×C4semidirect
748. Dic3⋊C4C22×C4semidirect
763. C4×Dic3C22×C4semidirect
764. C4×Dic3C22×C4semidirect
765. C4×Dic3C22×C4semidirect
806. C4×D4C4×D3semidirect
996. C22×D3#117semidirect
1215. C22×C4C2×C4×D3semidirect
1248. C4⋊C4C2×C4×D3semidirect
1288. C22⋊C4C2×C4×D3semidirect
1308. C42C2×C4×D3semidirect
1614. C3#34251semidirect

Maximal subgroups

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

subgroupindex
C2×#55452
C3×#23182
#823182
#758352
#758342
#758332
#758322
#753062
#753052
#753042
#753032
#748742
D3×#3862
#746632
#746572
#745912
D3×#3852
#743832
#743772
#742972
#742962
#742292
#742272
#741232
#741222
#740122
#740092
#735602
#734382
#733672
C2×#46662
#342513