Finite Group Databasebeta

← #11900176

Subgroups — #11900176

Order 1152.

3489 conjugacy classes of subgroups.

The subgroup lattice has 1520 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64314C211yesmaximal, characteristic
2#10596016C211yesmaximal, characteristic, complemented
3C3×#5545C211yesmaximal, characteristic, complemented
4C3×C4×#237C211yesmaximal, characteristic, complemented
5#10595222C211yesmaximal, characteristic, complemented
6D4×#624C211yesmaximal, characteristic, complemented
7D3×D4×Dic3C211yesmaximal, characteristic, complemented
8#10595058C212yesmaximal, complemented
9#10595056C212yesmaximal, complemented
10C2×#63880C212yesmaximal, complemented
11C4×#3804C212yesmaximal, complemented
12#10594604C211yesmaximal, characteristic, complemented
13#10594511C211yesmaximal, characteristic, complemented
14#10594362C211yesmaximal, characteristic, complemented
15#10594360C211yesmaximal, characteristic, complemented
16#10594255C212yesmaximal, complemented
17D3×#67⋊C4C212yesmaximal, complemented
18#10594182C212yesmaximal, complemented
19#10594049C212yesmaximal, complemented
20C4×D3×D12C211yesmaximal, characteristic, complemented
21#10593965C211yesmaximal, characteristic, complemented
22#10593890C211yesmaximal, characteristic, complemented
23#10593889C211yesmaximal, characteristic, complemented
24#85857—31nomaximal
25C4×#1009—31nomaximal
26C2×D4×C3⋊D3C2211yescharacteristic
27C2×C3×#237C2211yescharacteristic
28C2×C3×D3×D4C2211yescharacteristic
29C2×#3811C2212yes—
30C2×D3×#67C2212yes—
31C22×#626C2212yes—
32C22×#624C2212yescomplemented
33C2×#3804C2212yes—
34C22×D3×Dic3C2212yescomplemented
35#64314C4116yescomplemented
36C2×D3×D12C2211yescharacteristic
37C2×C4×D32C2212yescomplemented
38C2×#3799C2211yescharacteristic
39C2×#3798C2211yescharacteristic
40C2×#3796C2211yescharacteristic
41C32×C4×D4C2211yescharacteristic, complemented
42D4×C3⋊Dic3C2211yescharacteristic, complemented
43C4×#638C2212yescomplemented
44C2×#3752C2212yescomplemented
45#64102C2211yescharacteristic, complemented
46#64101C2211yescharacteristic, complemented
47#64090C2212yescomplemented
48C22⋊C4×C3⋊D3C2212yescomplemented
49C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
50#64081C2211yescharacteristic, complemented
51C3×D4×Dic3C2211yescharacteristic, complemented
52C3×D4×Dic3C2211yescharacteristic, complemented
53C3×C4×#67C2212yescomplemented
54C3×C4×#67C2212yescomplemented
55C2×C3×(C2×D3)⋊C4C2212yescomplemented
56C2×C3×C4×Dic3C2212yescomplemented
57C3×#893C2211yescharacteristic, complemented
58C3×#892C2211yescharacteristic, complemented
59C3×#892C2211yescharacteristic, complemented
60C3×#887C2211yescharacteristic, complemented
61C3×#67⋊C4C2212yescomplemented
62C3×#67⋊C4C2212yescomplemented
63C3×D3×C22⋊C4C2212yescomplemented
64C3×#877C2212yescomplemented
65C3×C4×D12C2211yescharacteristic, complemented
66C3×#872C2211yescharacteristic, complemented
67C3×C42×D3C2211yescharacteristic, complemented
68C3×C4×Dic6C2211yescharacteristic, complemented
69#63974C2212yescomplemented
70#67⋊Dic3C2212yescomplemented
71#67⋊Dic3C2212yescomplemented
72Dic3×#67C2212yescomplemented
73Dic3×#67C2212yescomplemented
74D3×#217C2212yescomplemented
75C2×Dic3⋊Dic3C2212yescomplemented
76#63955C2212yescomplemented
77#63952C2212yescomplemented
78#63952C2212yescomplemented
79#63921C2212yescomplemented
80D3×(C2×D3)⋊C4C2212yescomplemented
81D3×(C2×D3)⋊C4C2212yescomplemented
82C4×#627C2212yescomplemented
83#63904C2212yescomplemented
84#63904C2212yescomplemented
85#63904C2211yescharacteristic, complemented
86#63904C2211yescharacteristic, complemented
87C4×#626C2212yescomplemented
88C4×#626C2212yescomplemented
89#63902C2212yescomplemented
90#63900C2211yescharacteristic, complemented
91#63898C2211yescharacteristic, complemented
92#63894C2211yescharacteristic, complemented
93#63894C2211yescharacteristic, complemented
94Dic3×D12C2211yescharacteristic, complemented
95D3×C4⋊Dic3C2211yescharacteristic, complemented
96D3×C4⋊Dic3C2211yescharacteristic, complemented
97#63883C2212yescomplemented
98C4×#624C2211yescharacteristic, complemented
99C4×#624C2212yescomplemented
100#63881C2212yescomplemented
101#63881C2212yescomplemented
102#63880C2212yescomplemented
103#63880C2212yescomplemented
104#63880C2212yescomplemented
105#63880C2212yescomplemented
106#63880C2211yescharacteristic, complemented
107#63880C2212yescomplemented
108#63880C2212yescomplemented
109#63880C2212yescomplemented
110#63880C2211yescharacteristic, complemented
111#63880C2212yescomplemented
112#63879C2211yescharacteristic, complemented
113#63879C2211yescharacteristic, complemented
114#63878C2212yescomplemented
115#63877C2212yescomplemented
116D3×Dic3⋊C4C2212yescomplemented
117C4×D3×Dic3C2212yescomplemented
118C4×D3×Dic3C2211yescharacteristic, complemented
119#63855C2211yescharacteristic, complemented
120#63843C2211yescharacteristic, complemented
121Dic3×Dic6C2211yescharacteristic, complemented
122#63837C2211yescharacteristic, complemented
123#63837C2211yescharacteristic, complemented
124#63836C2212yescomplemented
125#63836C2212yescomplemented
126C2×#1009—31no—
127C2×#1004—31no—
128C3×#518—31no—
129C3×C4×#41—31no—
130#5827—31no—
131C2×D4×Dic3—31no—
132#5574—31no—
133#5574—31no—
134C4×#239—31no—
135C4×#239—31no—
136#5546—31no—
137#5546—32no—
138#5546—31no—
139#5545—31no—
140#5545—31no—
141#5545—32no—
142#5545—32no—
143#5545—32no—
144#5545—31no—
145#5545—61no—
146#5545D311yescharacteristic, complemented
147C4×D3×D4—31no—
148C4×D3×D4—31no—
149C4×D3×D4—31no—
150C4×D3×D4—32no—
151C4×D3×D4—32no—
152C4×D3×D4—32no—
153C4×D3×D4—31no—
154C4×#237—32no—
155C4×#237—31no—
156C4×#237D311yescharacteristic, complemented
157#5523—31no—
158#5523—31no—
159#5523—32no—
160#5523—31no—
161#5522—31no—
162#5522—31no—
163#5521—31no—
164#5521—32no—
165#5486—32no—
166#5486—32no—
167C2×#67⋊C4—32no—
168C2×#67⋊C4—32no—
169C4×#235—32no—
170C4×#235—31no—
171C2×C4×D12—32no—
172C2×C4×D12—31no—
173C23×C3⋊D3C2312yes—
174C23×C3×D3C2312yes—
175C22×D32C2312yes—
176C2×C32×D4C2311yescharacteristic
177C22×C32×C4C2312yes—
178C2×#638C2312yes—
179C22×C3⋊Dic3C2312yes—
180D4×C3⋊D3C2×C418yescomplemented
181C2×C4⋊(C3⋊D3)C2311yescharacteristic
182C2×C4×C3⋊D3C2312yes—
183C2×C4×C3⋊D3C2312yes—
184C2×C4×C3⋊D3C2311yescharacteristic
185C2×C3×#67C2312yes—
186C2×C3×#67C2312yes—
187C22×C3×Dic3C2312yes—
188C22×C3×Dic3C2312yes—
189C22×C3×Dic3C2312yes—
190C3×#237C2×C418yescomplemented
191C3×D3×D4C2×C418yescomplemented
192C2×C3×D12C2311yescharacteristic
193C2×C3×C4×D3C2311yescharacteristic
194C2×C3×C4×D3C2312yes—
195C2×C3×C4×D3C2312yes—
196C2×C3×C4×D3C2311yescharacteristic
197C2×C3×C4×D3C2311yescharacteristic
198C2×C3×C4×D3C2311yescharacteristic
199C2×C3×Dic6C2311yescharacteristic
200#3811C2×C4116yescomplemented
201D3×#67C2×C4116yescomplemented
202C2×#627C2311yescharacteristic
203C2×#626C2×C4116yescomplemented
204C2×#626C2312yes—
205C2×#626C2311yescharacteristic
206C2×#626C2311yescharacteristic
207C2×#626C2312yes—
208C2×#626C2312yes—
209C2×#625C2311yescharacteristic
210C2×#624—44no—
211C2×#624C2312yes—
212C2×#624C2311yescharacteristic
213C2×#624C2312yes—
214C2×#624C2312yes—
215C2×#624C2311yescharacteristic
216C2×#624C2312yes—
217#3804C2×C4116yescomplemented
218C2×D3×Dic3—44no—
219C2×D3×Dic3C2312yes—
220C2×D3×Dic3C2311yescharacteristic
221C2×D3×Dic3C2312yes—
222C2×D3×Dic3C2312yes—
223C2×D3×Dic3C2312yes—
224C2×D3×Dic3C2311yescharacteristic
225C2×D3×Dic3C2312yes—
226D3×D12C2×C418yescomplemented
227C4×D32—44no—
228#3799C2×C418yescomplemented
229#3798C2×C418yescomplemented
230#3796C2×C418yescomplemented
231C32×C4⋊C4C2311yescharacteristic
232C32×C22⋊C4C2312yes—
233C32×C42C2311yescharacteristic
234#3757C2312yes—
235#3752C2311yescharacteristic
236#3752C2311yescharacteristic
237#3752C2312yes—
238#3752C2312yes—
239#3752C2312yes—
240C4⋊(C3⋊Dic3)C2311yescharacteristic
241#3750C2311yescharacteristic
242#3750C2311yescharacteristic
243C4×C3⋊Dic3C2311yescharacteristic
244C4×C3⋊Dic3C2312yes—
245C3×#217C2312yes—
246C3×#217C2312yes—
247C3×(C2×D3)⋊C4C2311yescharacteristic
248C3×(C2×D3)⋊C4C2312yes—
249C3×(C2×D3)⋊C4C2312yes—
250C3×(C2×D3)⋊C4C2312yes—
251C3×(C2×D3)⋊C4C2311yescharacteristic
252C3×(C2×D3)⋊C4C2312yes—
253C3×C4⋊Dic3C2311yescharacteristic
254C3×C4⋊Dic3C2311yescharacteristic
255C3×Dic3⋊C4C2312yes—
256C3×Dic3⋊C4C2312yes—
257C3×Dic3⋊C4C2311yescharacteristic
258C3×Dic3⋊C4C2311yescharacteristic
259C3×C4×Dic3C2311yescharacteristic
260C3×C4×Dic3C2312yes—
261C3×C4×Dic3C2312yes—
262C3×C4×Dic3C2312yes—
263C3×C4×Dic3C2311yescharacteristic
264C3×C4×Dic3C2311yescharacteristic
265C3×C4×Dic3C2311yescharacteristic
266C3×C4×Dic3C2312yes—
267#3724C2312yes—
268Dic3⋊Dic3C2312yes—
269Dic3⋊Dic3C2312yes—
270Dic3⋊Dic3C2311yescharacteristic
271Dic3⋊Dic3C2311yescharacteristic
272Dic3⋊Dic3C2312yes—
273Dic3⋊Dic3C2312yes—
274#3722C2312yes—
275#3722C2312yes—
276(C2×D3)⋊Dic3C2311yescharacteristic
277(C2×D3)⋊Dic3C2311yescharacteristic
278(C2×D3)⋊Dic3C2312yes—
279(C2×D3)⋊Dic3C2312yes—
280Dic32C2311yescharacteristic
281Dic32C2312yes—
282Dic32C2311yescharacteristic
283Dic32C2311yescharacteristic
284Dic32C2311yescharacteristic
285Dic32C2312yes—
286C4×H(5,𝔽2)—91noSylow
287C2×C3×#41—31no—
288C22×C3×D4—31no—
289C22×#67—32no—
290C22×#67—32no—
291C23×Dic3—32no—
292#1009—316no—
293C2×#239—31no—
294C2×#239—31no—
295#1004—316no—
296C2×#237—32no—
297C2×#237—31no—
298C2×#237C2×D311yescharacteristic
299C2×D3×D4—32no—
300C2×D3×D4—31no—
301C2×D3×D4—31no—
302C2×D3×D4—32no—
303C2×D3×D4—32no—
304C2×D3×D4—31no—
305C2×D3×D4—61no—
306C2×D3×D4C2×D311yescharacteristic
307C2×#235—32no—
308C2×#235—31no—
309C2×#235—31no—
310C2×#235—31no—
311C22×D12—32no—
312C22×D12—31no—
313C22×C4×D3—32no—
314C22×C4×D3—32no—
315C22×C4×D3—32no—
316C22×C4×D3—32no—
317C22×C4×D3—32no—
318C3×C4×Q8—31no—
319C3×C4×Q8—31no—
320C3×C4×D4—21no—
321C3×C4×D4—31no—
322C3×C4×D4—31no—
323C3×C4×D4—32no—
324C3×C4×D4—32no—
325C3×C4×D4—31no—
326C3×C4×D4—32no—
327C3×C4×D4—32no—
328C3×C4×D4—31no—
329C3×C4×D4C2×D311yescharacteristic, complemented
330C3×C4×D4C2×D311yescharacteristic, complemented
331C3×#117—31no—
332C3×#117—31no—
333C3×#117—32no—
334C3×#117—31no—
335C2×C3×C22⋊C4—32no—
336C2×C3×C22⋊C4—32no—
337C2×C3×C42—32no—
338C2×C3×C42—31no—
339C2×#217—32no—
340Q8×Dic3—31no—
341Q8×Dic3—31no—
342D4×Dic3—31no—
343D4×Dic3—31no—
344D4×Dic3—32no—
345D4×Dic3—32no—
346D4×Dic3—32no—
347D4×Dic3—32no—
348D4×Dic3—31no—
349D4×Dic3—31no—
350D4×Dic3—61no—
351D4×Dic3C2×D311yescharacteristic, complemented
352D4×Dic3C2×D311yescharacteristic, complemented
353C4×#67—32no—
354C4×#67—32no—
355C4×#67—32no—
356C4×#67—32no—
357C4×#67—32no—
358C4×#67—32no—
359C4×#67—31no—
360C4×#67—31no—
361C4×#67—31no—
362C4×#67—31no—
363C4×#67—32no—
364C4×#67—32no—
365C4×#67—32no—
366C4×#67—32no—
367C4×#67—62no—
368C4×#67C2×D312yescomplemented
369C4×#67C2×D312yescomplemented
370C2×(C2×D3)⋊C4—32no—
371C2×(C2×D3)⋊C4—32no—
372C2×(C2×D3)⋊C4—32no—
373C2×(C2×D3)⋊C4—32no—
374C2×(C2×D3)⋊C4—62no—
375C2×(C2×D3)⋊C4C2×D312yescomplemented
376#926—32no—
377#926—31no—
378C2×C4⋊Dic3—32no—
379C2×C4⋊Dic3—31no—
380C2×C4⋊Dic3—31no—
381C2×Dic3⋊C4—32no—
382C2×Dic3⋊C4—32no—
383C2×C4×Dic3—32no—
384C2×C4×Dic3—31no—
385C2×C4×Dic3C2×D312yescomplemented
386#893—31no—
387#893—32no—
388#893—32no—
389#893—31no—
390#893—31no—
391#893—31no—
392#893—31no—
393#893—32no—
394#893—32no—
395#893—31no—
396#893—31no—
397#893—61no—
398#893C2×D311yescharacteristic, complemented
399#892—31no—
400#892—31no—
401#892—32no—
402#892—32no—
403#892—32no—
404#892—61no—
405#892C2×D311yescharacteristic, complemented
406#892C2×D311yescharacteristic, complemented
407D3×C4⋊C4—32no—
408D3×C4⋊C4—31no—
409D3×C4⋊C4—31no—
410D3×C4⋊C4—31no—
411D3×C4⋊C4—31no—
412D3×C4⋊C4—32no—
413D3×C4⋊C4—32no—
414#887—31no—
415#887—31no—
416#887—31no—
417#887C2×D311yescharacteristic, complemented
418#67⋊C4—32no—
419#67⋊C4—32no—
420#67⋊C4—32no—
421#67⋊C4—32no—
422#67⋊C4—31no—
423#67⋊C4—31no—
424#67⋊C4—32no—
425#67⋊C4—32no—
426#67⋊C4—32no—
427#67⋊C4—32no—
428#67⋊C4—32no—
429#67⋊C4—32no—
430#67⋊C4—32no—
431#67⋊C4—31no—
432#67⋊C4—32no—
433#67⋊C4—32no—
434#67⋊C4—32no—
435#67⋊C4—32no—
436#67⋊C4—32no—
437#67⋊C4—32no—
438#67⋊C4—31no—
439#67⋊C4—32no—
440#67⋊C4—62no—
441#67⋊C4C2×D312yescomplemented
442#67⋊C4C2×D312yescomplemented
443D3×C22⋊C4—32no—
444D3×C22⋊C4—32no—
445D3×C22⋊C4—32no—
446D3×C22⋊C4—32no—
447D3×C22⋊C4—32no—
448D3×C22⋊C4—32no—
449D3×C22⋊C4—32no—
450D3×C22⋊C4—32no—
451D3×C22⋊C4—32no—
452D3×C22⋊C4—62no—
453D3×C22⋊C4C2×D312yescomplemented
454#877—32no—
455#877—32no—
456#877—32no—
457#877C2×D312yescomplemented
458C4×D12—31no—
459C4×D12—32no—
460C4×D12—32no—
461C4×D12—31no—
462C4×D12—31no—
463C4×D12—32no—
464C4×D12—31no—
465C4×D12—32no—
466C4×D12—32no—
467C4×D12—32no—
468C4×D12—32no—
469C4×D12—32no—
470C4×D12—32no—
471C4×D12—31no—
472C4×D12—32no—
473C4×D12—31no—
474C4×D12—31no—
475C4×D12—61no—
476C4×D12C2×D311yescharacteristic, complemented
477#872—31no—
478#872—31no—
479#872—31no—
480#872—32no—
481#872—32no—
482#872—32no—
483#872—61no—
484#872C2×D311yescharacteristic, complemented
485C42×D3—32no—
486C42×D3—31no—
487C42×D3—31no—
488C42×D3—32no—
489C42×D3—32no—
490C42×D3—31no—
491C42×D3C2×D311yescharacteristic, complemented
492C4×Dic6—31no—
493C4×Dic6—31no—
494C4×Dic6—31no—
495C4×Dic6—32no—
496C4×Dic6—32no—
497C4×Dic6C2×D311yescharacteristic, complemented
498C23×C32C2412yes—
499C22×C3⋊D3—42no—
500C22×C3⋊D3—42no—
501C22×C3⋊D3C22×C418yescomplemented
502C22×C3⋊D3C2412yes—
503C22×C3⋊D3C2411yescharacteristic
504C22×C3×D3—42no—
505C22×C3×D3—42no—
506C22×C3×D3C22×C418yescomplemented
507C22×C3×D3C2411yescharacteristic
508C22×C3×D3C2412yes—
509C22×C3×D3C2411yescharacteristic
510C2×D32—42no—
511C2×D32—42no—
512C2×D32C22×C418yescomplemented
513C32×D4C22×C414yescomplemented
514C2×C32×C4—42no—
515C2×C32×C4C2412yes—
516C2×C32×C4C2411yescharacteristic
517C2×C32×C4C2411yescharacteristic
518C2×C32×C4C2411yescharacteristic
519#638C22×C418yescomplemented
520C2×C3⋊Dic3—42no—
521C2×C3⋊Dic3C2411yescharacteristic
522C2×C3⋊Dic3C2411yescharacteristic
523C2×C3⋊Dic3C2412yes—
524C2×C3⋊Dic3C2411yescharacteristic
525C4⋊(C3⋊D3)C22×C414yescomplemented
526C4×C3⋊D3—42no—
527C4×C3⋊D3—42no—
528C4×C3⋊D3C22×C414yescomplemented
529C3×#67C22×C418yescomplemented
530C3×#67C22×C418yescomplemented
531C2×C3×Dic3—24no—
532C2×C3×Dic3—42no—
533C2×C3×Dic3C22×C418yescomplemented
534C2×C3×Dic3C2411yescharacteristic
535C2×C3×Dic3C2411yescharacteristic
536C2×C3×Dic3C2411yescharacteristic
537C2×C3×Dic3C2412yes—
538C2×C3×Dic3C2412yes—
539C2×C3×Dic3C2412yes—
540C2×C3×Dic3C2411yescharacteristic
541C2×C3×Dic3C2411yescharacteristic
542C2×C3×Dic3C2411yescharacteristic
543C3×D12C22×C414yescomplemented
544C3×C4×D3—22no—
545C3×C4×D3—42no—
546C3×C4×D3—41no—
547C3×C4×D3—42no—
548C3×C4×D3C22×C414yescomplemented
549C3×C4×D3C22×C414yescomplemented
550C3×Dic6C22×C414yescomplemented
551#627C22×C414yescomplemented
552#626C22×C418yescomplemented
553#626C22×C414yescomplemented
554#626C22×C414yescomplemented
555#626C22×C418yescomplemented
556#626C22×C418yescomplemented
557#625C22×C414yescomplemented
558#624—24no—
559#624—22no—
560#624—42no—
561#624—42no—
562#624—41no—
563#624C22×C418yescomplemented
564D3×Dic3—24no—
565D3×Dic3—22no—
566D3×Dic3—42no—
567D3×Dic3—42no—
568D3×Dic3—42no—
569D3×Dic3—41no—
570D3×Dic3C22×C418yescomplemented
571C2×H(5,𝔽2)—91no—
572#520—91no—
573#520—92no—
574#520—91no—
575#520—91no—
576#520—91no—
577#518—31no—
578#518—92no—
579#518—92no—
580#518—91no—
581#518—92no—
582#518—91no—
583C4×#41—31no—
584C4×#41—91no—
585C4×#41—92no—
586C4×#41—91no—
587C4×#41—91no—
588C2×C4×D4—92no—
589C2×C4×D4—91no—
590C2×C4×D4—92no—
591C2×C4×D4—91no—
592C2×C4×D4—92no—
593C2×C4×D4—91no—
594C24×C3—32no—
595C23×D3—32no—
596C23×D3—32no—
597C23×D3—32no—
598C23×D3—32no—
599C23×D3—62no—
600C23×D3C22×D312yes—
601C3×#41—38no—
602C2×C3×Q8—31no—
603C2×C3×D4—21no—
604C2×C3×D4—32no—
605C2×C3×D4—32no—
606C2×C3×D4—38no—
607C2×C3×D4—31no—
608C2×C3×D4C22×D311yescharacteristic
609C2×C3×D4C22×D311yescharacteristic
610C22×C3×C4—22no—
611C22×C3×C4—32no—
612C22×C3×C4—31no—
613C22×C3×C4—31no—
614C22×C3×C4—32no—
615C22×C3×C4—32no—
616C22×C3×C4—31no—
617C22×C3×C4—32no—
618C22×C3×C4—32no—
619C22×C3×C4—31no—
620C22×C3×C4C22×D312yes—
621C22×C3×C4C22×D312yes—
622C2×#67—32no—
623C2×#67—32no—
624C2×#67—31no—
625C2×#67—31no—
626C2×#67—316no—
627C2×#67—316no—
628C2×#67—32no—
629C2×#67—31no—
630C2×#67—31no—
631C2×#67—32no—
632C2×#67—32no—
633C2×#67—62no—
634C2×#67C22×D312yes—
635C2×#67C22×D312yes—
636C22×Dic3—32no—
637C22×Dic3—32no—
638C22×Dic3—32no—
639C22×Dic3—31no—
640C22×Dic3—32no—
641C22×Dic3—31no—
642C22×Dic3—32no—
643C22×Dic3—32no—
644C22×Dic3—32no—
645C22×Dic3—62no—
646C22×Dic3—124no—
647C22×Dic3C22×D312yes—
648C22×Dic3C22×D312yes—
649C22×Dic3C22×D312yes—
650#239—38no—
651#239—38no—
652#237—316no—
653#237—38no—
654#237C4×D318yescomplemented
655D3×D4—316no—
656D3×D4—38no—
657D3×D4—38no—
658D3×D4—316no—
659D3×D4—316no—
660D3×D4—38no—
661D3×D4—68no—
662D3×D4C4×D318yescomplemented
663#235—316no—
664#235—38no—
665#235—38no—
666#235—38no—
667C2×D12—316no—
668C2×D12—32no—
669C2×D12—31no—
670C2×D12—32no—
671C2×D12—32no—
672C2×D12—31no—
673C2×D12—31no—
674C2×D12—31no—
675C2×D12—38no—
676C2×D12—61no—
677C2×D12C22×D311yescharacteristic
678C2×C4×D3—32no—
679C2×C4×D3—31no—
680C2×C4×D3—31no—
681C2×C4×D3—32no—
682C2×C4×D3—32no—
683C2×C4×D3—32no—
684C2×C4×D3—31no—
685C2×C4×D3—32no—
686C2×C4×D3—31no—
687C2×C4×D3—32no—
688C2×C4×D3—31no—
689C2×C4×D3—31no—
690C2×C4×D3—32no—
691C2×C4×D3—32no—
692C2×C4×D3—32no—
693C2×C4×D3—32no—
694C2×C4×D3—32no—
695C2×C4×D3—32no—
696C2×C4×D3—32no—
697C2×C4×D3—31no—
698C2×C4×D3—31no—
699C2×C4×D3—32no—
700C2×C4×D3—32no—
701C2×C4×D3—32no—
702C2×C4×D3—32no—
703C2×C4×D3—61no—
704C2×C4×D3—62no—
705C2×C4×D3—62no—
706C2×C4×D3—124no—
707C2×C4×D3—124no—
708C2×C4×D3—124no—
709C2×C4×D3—124no—
710C2×C4×D3—124no—
711C2×C4×D3C22×D311yescharacteristic
712C2×C4×D3C22×D312yes—
713C2×C4×D3C22×D311yescharacteristic
714C2×C4×D3C22×D312yes—
715C2×C4×D3C22×D311yescharacteristic
716C2×C4×D3C22×D311yescharacteristic
717C2×Dic6—31no—
718C2×Dic6—31no—
719C2×Dic6C22×D311yescharacteristic
720C3×C4⋊C4—21no—
721C3×C4⋊C4—31no—
722C3×C4⋊C4—31no—
723C3×C4⋊C4—31no—
724C3×C4⋊C4—32no—
725C3×C4⋊C4—31no—
726C3×C4⋊C4—32no—
727C3×C4⋊C4C22×D311yescharacteristic
728C3×C4⋊C4C22×D311yescharacteristic
729C3×C22⋊C4—22no—
730C3×C22⋊C4—32no—
731C3×C22⋊C4—32no—
732C3×C22⋊C4—32no—
733C3×C22⋊C4—32no—
734C3×C22⋊C4—32no—
735C3×C22⋊C4—31no—
736C3×C22⋊C4—32no—
737C3×C22⋊C4—31no—
738C3×C22⋊C4C22×D312yes—
739C3×C22⋊C4C22×D312yes—
740C3×C42—21no—
741C3×C42—32no—
742C3×C42—31no—
743C3×C42—31no—
744C3×C42—31no—
745C3×C42—32no—
746C3×C42—32no—
747C3×C42—31no—
748C3×C42—32no—
749C3×C42C22×D311yescharacteristic
750C3×C42C22×D311yescharacteristic
751#217—32no—
752#217—32no—
753#217—32no—
754#217—32no—
755#217—31no—
756#217—31no—
757#217—62no—
758#217C22×D312yes—
759#217C22×D312yes—
760(C2×D3)⋊C4—32no—
761(C2×D3)⋊C4—31no—
762(C2×D3)⋊C4—31no—
763(C2×D3)⋊C4—32no—
764(C2×D3)⋊C4—31no—
765(C2×D3)⋊C4—32no—
766(C2×D3)⋊C4—31no—
767(C2×D3)⋊C4—31no—
768(C2×D3)⋊C4—32no—
769(C2×D3)⋊C4—31no—
770(C2×D3)⋊C4—32no—
771(C2×D3)⋊C4—32no—
772(C2×D3)⋊C4—32no—
773(C2×D3)⋊C4—32no—
774(C2×D3)⋊C4—32no—
775(C2×D3)⋊C4—32no—
776(C2×D3)⋊C4—32no—
777(C2×D3)⋊C4—32no—
778(C2×D3)⋊C4—61no—
779(C2×D3)⋊C4—61no—
780(C2×D3)⋊C4—62no—
781(C2×D3)⋊C4—62no—
782(C2×D3)⋊C4—62no—
783(C2×D3)⋊C4C22×D312yes—
784(C2×D3)⋊C4C22×D311yescharacteristic
785(C2×D3)⋊C4C22×D311yescharacteristic
786(C2×D3)⋊C4C22×D312yes—
787(C2×D3)⋊C4C22×D312yes—
788(C2×D3)⋊C4C22×D312yes—
789C4⋊Dic3—31no—
790C4⋊Dic3—31no—
791C4⋊Dic3—32no—
792C4⋊Dic3—31no—
793C4⋊Dic3—31no—
794C4⋊Dic3—32no—
795C4⋊Dic3—32no—
796C4⋊Dic3—32no—
797C4⋊Dic3—61no—
798C4⋊Dic3C22×D311yescharacteristic
799C4⋊Dic3C22×D311yescharacteristic
800Dic3⋊C4—31no—
801Dic3⋊C4—31no—
802Dic3⋊C4—31no—
803Dic3⋊C4—31no—
804Dic3⋊C4—32no—
805Dic3⋊C4—32no—
806Dic3⋊C4—32no—
807Dic3⋊C4—32no—
808Dic3⋊C4—32no—
809Dic3⋊C4—31no—
810Dic3⋊C4—32no—
811Dic3⋊C4—31no—
812Dic3⋊C4—61no—
813Dic3⋊C4—61no—
814Dic3⋊C4C22×D311yescharacteristic
815Dic3⋊C4C22×D311yescharacteristic
816Dic3⋊C4C22×D312yes—
817Dic3⋊C4C22×D312yes—
818C4×Dic3—32no—
819C4×Dic3—32no—
820C4×Dic3—31no—
821C4×Dic3—31no—
822C4×Dic3—31no—
823C4×Dic3—31no—
824C4×Dic3—31no—
825C4×Dic3—31no—
826C4×Dic3—32no—
827C4×Dic3—31no—
828C4×Dic3—32no—
829C4×Dic3—32no—
830C4×Dic3—31no—
831C4×Dic3—32no—
832C4×Dic3—31no—
833C4×Dic3—31no—
834C4×Dic3—61no—
835C4×Dic3—62no—
836C4×Dic3C22×D312yes—
837C4×Dic3C22×D312yes—
838C4×Dic3C22×D312yes—
839C4×Dic3C22×D311yescharacteristic
840C4×Dic3C22×D311yescharacteristic
841C4×Dic3C22×D312yes—
842C4×Dic3C22×D311yescharacteristic
843C4×Dic3C22×D311yescharacteristic
844C22×C32—22no—
845C22×C32—22no—
846C22×C32C23×C414yes—
847C22×C32C2511yescharacteristic
848C2×C3⋊D3—21no—
849C2×C3⋊D3—22no—
850C2×C3⋊D3—21no—
851C2×C3⋊D3—22no—
852C2×C3⋊D3—48no—
853C2×C3⋊D3C23×C414yes—
854C2×C3⋊D3C23×C412yes—
855C2×C3×D3—21no—
856C2×C3×D3—22no—
857C2×C3×D3—21no—
858C2×C3×D3—21no—
859C2×C3×D3—21no—
860C2×C3×D3—22no—
861C2×C3×D3—48no—
862C2×C3×D3C23×C414yes—
863C2×C3×D3C23×C412yes—
864C2×C3×D3C23×C412yes—
865D32—48no—
866C32×C4—21no—
867C32×C4—22no—
868C32×C4—21no—
869C32×C4C23×C412yes—
870C3⋊Dic3—22no—
871C3⋊Dic3—21no—
872C3⋊Dic3—21no—
873C3⋊Dic3C23×C412yes—
874C3×Dic3—22no—
875C3×Dic3—22no—
876C3×Dic3—21no—
877C3×Dic3—21no—
878C3×Dic3—21no—
879C3×Dic3C23×C414yes—
880C3×Dic3C23×C412yes—
881C3×Dic3C23×C412yes—
882C3×Dic3H(5,𝔽2)12yescomplemented
883H(5,𝔽2)—916no—
884C2×#41—31no—
885C2×#41—91no—
886C2×#41—92no—
887C2×#41—91no—
888C2×#41—91no—
889C22×D4—31no—
890C22×D4—91no—
891C22×D4—92no—
892C22×D4—92no—
893C22×D4—92no—
894C22×D4—91no—
895C23×C4—92no—
896C23×C4—92no—
897C23×C4—92no—
898C4×Q8—31no—
899C4×Q8—31no—
900C4×Q8—92no—
901C4×Q8—91no—
902C4×Q8—91no—
903C4×Q8—91no—
904C4×Q8—91no—
905C4×D4—31no—
906C4×D4—31no—
907C4×D4—32no—
908C4×D4—32no—
909C4×D4—31no—
910C4×D4—32no—
911C4×D4—32no—
912C4×D4—31no—
913C4×D4—91no—
914C4×D4—92no—
915C4×D4—92no—
916C4×D4—92no—
917C4×D4—92no—
918C4×D4—92no—
919C4×D4—92no—
920C4×D4—92no—
921C4×D4—92no—
922C4×D4—91no—
923C4×D4—91no—
924C4×D4—91no—
925C4×D4—92no—
926C4×D4—92no—
927C4×D4—91no—
928C4×D4—92no—
929C4×D4—92no—
930C4×D4—92no—
931C4×D4—92no—
932C4×D4—91no—
933C4×D4—92no—
934C4×D4—91no—
935C4×D4—92no—
936C4×D4—92no—
937C4×D4—91no—
938C4×D4—92no—
939C4×D4—91no—
940C4×D4—92no—
941C4×D4—91no—
942C4×D4—92no—
943C4×D4—92no—
944C4×D4—91no—
945C4×D4—92no—
946C4×D4—91no—
947C4×D4—92no—
948C4×D4—91no—
949C4×D4D3211yescharacteristic, complemented
950#117—31no—
951#117—31no—
952#117—32no—
953#117—31no—
954#117—92no—
955#117—92no—
956#117—92no—
957#117—91no—
958#117—92no—
959#117—92no—
960#117—91no—
961#117—91no—
962C2×C4⋊C4—92no—
963C2×C4⋊C4—91no—
964C2×C4⋊C4—92no—
965C2×C4⋊C4—91no—
966C2×C4⋊C4—91no—
967C2×C4⋊C4—92no—
968C2×C22⋊C4—32no—
969C2×C22⋊C4—32no—
970C2×C22⋊C4—92no—
971C2×C22⋊C4—92no—
972C2×C22⋊C4—92no—
973C2×C22⋊C4—92no—
974C2×C22⋊C4—92no—
975C2×C22⋊C4—92no—
976C2×C22⋊C4—92no—
977C2×C42—32no—
978C2×C42—31no—
979C2×C42—92no—
980C2×C42—91no—
981C2×C42—91no—
982C2×C42—92no—
983C23×C3—22no—
984C23×C3—32no—
985C23×C3—31no—
986C23×C3—31no—
987C23×C3—38no—
988C23×C3—122no—
989C23×C3—122no—
990C23×C3C23×D312yes—
991C23×C3C23×D312yes—
992C22×D3—32no—
993C22×D3—31no—
994C22×D3—32no—
995C22×D3—31no—
996C22×D3—38no—
997C22×D3—38no—
998C22×D3—38no—
999C22×D3—38no—
1000C22×D3—42no—
1001C22×D3—42no—
1002C22×D3—61no—
1003C22×D3—62no—
1004C22×D3—68no—
1005C22×D3—122no—
1006C22×D3—122no—
1007C22×D3—122no—
1008C22×D3—122no—
1009C22×D3—122no—
1010C22×D3—122no—
1011C22×D3—122no—
1012C22×D3—122no—
1013C22×D3—242no—
1014C22×D3—242no—
1015C22×D3C2×C4×D318yescomplemented
1016C22×D3C23×D312yes—
1017C22×D3C23×D311yescharacteristic
1018C22×D3C23×D311yescharacteristic
1019C3×Q8—34no—
1020C3×D4—24no—
1021C3×D4—38no—
1022C3×D4—38no—
1023C3×D4—34no—
1024C3×D4C2×C4×D314yescomplemented
1025C3×D4C2×C4×D314yescomplemented
1026C2×C3×C4—21no—
1027C2×C3×C4—22no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—38no—
1031C2×C3×C4—31no—
1032C2×C3×C4—32no—
1033C2×C3×C4—31no—
1034C2×C3×C4—31no—
1035C2×C3×C4—34no—
1036C2×C3×C4—34no—
1037C2×C3×C4—31no—
1038C2×C3×C4—31no—
1039C2×C3×C4—31no—
1040C2×C3×C4—32no—
1041C2×C3×C4—32no—
1042C2×C3×C4—42no—
1043C2×C3×C4—42no—
1044C2×C3×C4—62no—
1045C2×C3×C4—64no—
1046C2×C3×C4—82no—
1047C2×C3×C4—122no—
1048C2×C3×C4—122no—
1049C2×C3×C4—121no—
1050C2×C3×C4—122no—
1051C2×C3×C4C23×D312yes—
1052C2×C3×C4C23×D312yes—
1053C2×C3×C4C23×D311yescharacteristic
1054C2×C3×C4C23×D311yescharacteristic
1055C2×C3×C4C23×D311yescharacteristic
1056C2×C3×C4C23×D311yescharacteristic
1057C2×C3×C4C23×D311yescharacteristic
1058C2×C3×C4C23×D311yescharacteristic
1059#67—38no—
1060#67—38no—
1061#67—34no—
1062#67—34no—
1063#67—34no—
1064#67—34no—
1065#67—38no—
1066#67—38no—
1067#67—38no—
1068#67—68no—
1069#67C2×C4×D318yescomplemented
1070#67C2×C4×D318yescomplemented
1071C2×Dic3—24no—
1072C2×Dic3—31no—
1073C2×Dic3—31no—
1074C2×Dic3—38no—
1075C2×Dic3—31no—
1076C2×Dic3—31no—
1077C2×Dic3—31no—
1078C2×Dic3—32no—
1079C2×Dic3—31no—
1080C2×Dic3—32no—
1081C2×Dic3—42no—
1082C2×Dic3—61no—
1083C2×Dic3—61no—
1084C2×Dic3—61no—
1085C2×Dic3—62no—
1086C2×Dic3—64no—
1087C2×Dic3—62no—
1088C2×Dic3—122no—
1089C2×Dic3—121no—
1090C2×Dic3—122no—
1091C2×Dic3—122no—
1092C2×Dic3—122no—
1093C2×Dic3—122no—
1094C2×Dic3—242no—
1095C2×Dic3C2×C4×D318yescomplemented
1096C2×Dic3C23×D311yescharacteristic
1097C2×Dic3C23×D311yescharacteristic
1098C2×Dic3C23×D312yes—
1099C2×Dic3C23×D311yescharacteristic
1100C2×Dic3C23×D312yes—
1101C2×Dic3C23×D311yescharacteristic
1102C2×Dic3C23×D312yes—
1103C2×Dic3C23×D311yescharacteristic
1104C2×Dic3C23×D311yescharacteristic
1105D12—38no—
1106D12—34no—
1107D12—38no—
1108D12—38no—
1109D12—34no—
1110D12—34no—
1111D12—34no—
1112D12—64no—
1113D12C2×C4×D314yescomplemented
1114C4×D3—22no—
1115C4×D3—38no—
1116C4×D3—34no—
1117C4×D3—34no—
1118C4×D3—38no—
1119C4×D3—38no—
1120C4×D3—42no—
1121C4×D3—41no—
1122C4×D3—42no—
1123C4×D3—64no—
1124C4×D3—64no—
1125C4×D3—62no—
1126C4×D3—64no—
1127C4×D3—62no—
1128C4×D3—64no—
1129C4×D3—62no—
1130C4×D3—121no—
1131C4×D3—121no—
1132C4×D3—122no—
1133C4×D3—122no—
1134C4×D3—122no—
1135C4×D3—122no—
1136C4×D3—122no—
1137C4×D3—122no—
1138C4×D3—122no—
1139C4×D3—122no—
1140C4×D3—121no—
1141C4×D3—122no—
1142C4×D3—122no—
1143C4×D3—122no—
1144C4×D3—242no—
1145C4×D3—242no—
1146C4×D3C2×C4×D314yescomplemented
1147C4×D3C2×C4×D314yescomplemented
1148Dic6—34no—
1149Dic6—34no—
1150Dic6C2×C4×D314yescomplemented
1151C2×C32—24no—
1152C2×C32C24×C411yescharacteristic
1153C2×C32C2×H(5,𝔽2)11yescharacteristic
1154C2×C32#58511yescharacteristic
1155C3⋊D3—24no—
1156C3⋊D3—22no—
1157C3×D3—22no—
1158C3×D3—24no—
1159C3×D3—22no—
1160C24—32no—
1161C24—92no—
1162C24—92no—
1163#41—38no—
1164#41—98no—
1165#41—916no—
1166#41—98no—
1167#41—98no—
1168C2×Q8—31no—
1169C2×Q8—91no—
1170C2×D4—32no—
1171C2×D4—32no—
1172C2×D4—38no—
1173C2×D4—31no—
1174C2×D4—98no—
1175C2×D4—91no—
1176C2×D4—92no—
1177C2×D4—91no—
1178C2×D4—92no—
1179C2×D4—92no—
1180C2×D4—916no—
1181C2×D4—916no—
1182C2×D4—916no—
1183C2×D4—91no—
1184C2×D4—92no—
1185C2×D4—98no—
1186C2×D4—91no—
1187C2×D4C2×D3211yescharacteristic
1188C22×C4—32no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—32no—
1192C22×C4—32no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—32no—
1196C22×C4—32no—
1197C22×C4—92no—
1198C22×C4—91no—
1199C22×C4—92no—
1200C22×C4—91no—
1201C22×C4—92no—
1202C22×C4—92no—
1203C22×C4—92no—
1204C22×C4—91no—
1205C22×C4—92no—
1206C22×C4—91no—
1207C22×C4—92no—
1208C22×C4—92no—
1209C22×C4—92no—
1210C22×C4—91no—
1211C22×C4—92no—
1212C22×C4—92no—
1213C22×C4—92no—
1214C22×C4—364no—
1215C22×C4—364no—
1216C22×C4—364no—
1217C22×C4C2×D3212yes—
1218C4⋊C4—31no—
1219C4⋊C4—31no—
1220C4⋊C4—32no—
1221C4⋊C4—31no—
1222C4⋊C4—31no—
1223C4⋊C4—32no—
1224C4⋊C4—92no—
1225C4⋊C4—92no—
1226C4⋊C4—91no—
1227C4⋊C4—92no—
1228C4⋊C4—92no—
1229C4⋊C4—92no—
1230C4⋊C4—91no—
1231C4⋊C4—91no—
1232C4⋊C4—91no—
1233C4⋊C4—91no—
1234C4⋊C4C2×D3211yescharacteristic
1235C22⋊C4—32no—
1236C22⋊C4—32no—
1237C22⋊C4—31no—
1238C22⋊C4—32no—
1239C22⋊C4—31no—
1240C22⋊C4—32no—
1241C22⋊C4—32no—
1242C22⋊C4—32no—
1243C22⋊C4—92no—
1244C22⋊C4—92no—
1245C22⋊C4—92no—
1246C22⋊C4—92no—
1247C22⋊C4—91no—
1248C22⋊C4—91no—
1249C22⋊C4—92no—
1250C22⋊C4—91no—
1251C22⋊C4—92no—
1252C22⋊C4—92no—
1253C22⋊C4—92no—
1254C22⋊C4—91no—
1255C22⋊C4C2×D3212yes—
1256C42—31no—
1257C42—32no—
1258C42—31no—
1259C42—31no—
1260C42—32no—
1261C42—32no—
1262C42—32no—
1263C42—31no—
1264C42—91no—
1265C42—91no—
1266C42—91no—
1267C42—92no—
1268C42—92no—
1269C42—91no—
1270C42—92no—
1271C42—91no—
1272C42C2×D3211yescharacteristic
1273C22×C3—22no—
1274C22×C3—22no—
1275C22×C3—22no—
1276C22×C3—22no—
1277C22×C3—24no—
1278C22×C3—21no—
1279C22×C3—34no—
1280C22×C3—32no—
1281C22×C3—32no—
1282C22×C3—42no—
1283C22×C3—42no—
1284C22×C3—61no—
1285C22×C3—62no—
1286C22×C3—61no—
1287C22×C3—62no—
1288C22×C3—61no—
1289C22×C3—61no—
1290C22×C3—128no—
1291C22×C3C22×C4×D314yes—
1292C22×C3C22×C4×D314yes—
1293C22×C3C24×D311yescharacteristic
1294C22×C3C24×D311yescharacteristic
1295C2×D3—21no—
1296C2×D3—21no—
1297C2×D3—22no—
1298C2×D3—21no—
1299C2×D3—22no—
1300C2×D3—21no—
1301C2×D3—32no—
1302C2×D3—34no—
1303C2×D3—32no—
1304C2×D3—34no—
1305C2×D3—48no—
1306C2×D3—62no—
1307C2×D3—64no—
1308C2×D3—61no—
1309C2×D3—62no—
1310C2×D3—61no—
1311C2×D3—62no—
1312C2×D3—61no—
1313C2×D3—62no—
1314C2×D3—61no—
1315C2×D3—62no—
1316C2×D3—122no—
1317C2×D3—122no—
1318C2×D3—121no—
1319C2×D3—121no—
1320C2×D3—128no—
1321C2×D3—128no—
1322C2×D3—128no—
1323C2×D3—128no—
1324C2×D3—248no—
1325C2×D3C22×C4×D314yes—
1326C2×D3C22×C4×D312yes—
1327C2×D3C22×C4×D312yes—
1328C3×C4—21no—
1329C3×C4—21no—
1330C3×C4—22no—
1331C3×C4—21no—
1332C3×C4—22no—
1333C3×C4—21no—
1334C3×C4—22no—
1335C3×C4—32no—
1336C3×C4—32no—
1337C3×C4—34no—
1338C3×C4—32no—
1339C3×C4—41no—
1340C3×C4—42no—
1341C3×C4—41no—
1342C3×C4—61no—
1343C3×C4—62no—
1344C3×C4—61no—
1345C3×C4—62no—
1346C3×C4—61no—
1347C3×C4C22×C4×D312yes—
1348C3×C4C22×C4×D312yes—
1349Dic3—22no—
1350Dic3—21no—
1351Dic3—22no—
1352Dic3—21no—
1353Dic3—21no—
1354Dic3—32no—
1355Dic3—32no—
1356Dic3—62no—
1357Dic3—62no—
1358Dic3—61no—
1359Dic3—61no—
1360Dic3—62no—
1361Dic3—61no—
1362Dic3—61no—
1363Dic3—121no—
1364Dic3—122no—
1365Dic3—121no—
1366Dic3C22×C4×D312yes—
1367Dic3C22×C4×D312yes—
1368Dic3C22×C4×D314yes—
1369Dic3#100912yescomplemented
1370C32C4×H(5,𝔽2)11yescharacteristic, complemented, Sylow
1371C23—31no—
1372C23—31no—
1373C23—32no—
1374C23—38no—
1375C23—98no—
1376C23—92no—
1377C23—91no—
1378C23—98no—
1379C23—122no—
1380C23—122no—
1381C23—362no—
1382C23—362no—
1383C23—362no—
1384C23—362no—
1385C23C22×D3212yes—
1386Q8—34no—
1387Q8—94no—
1388D4—38no—
1389D4—38no—
1390D4—34no—
1391D4—94no—
1392D4—98no—
1393D4—94no—
1394D4—98no—
1395D4—98no—
1396D4—94no—
1397D4—98no—
1398D4—94no—
1399D4C4×D3214yescomplemented
1400C2×C4—38no—
1401C2×C4—31no—
1402C2×C4—31no—
1403C2×C4—31no—
1404C2×C4—32no—
1405C2×C4—34no—
1406C2×C4—34no—
1407C2×C4—31no—
1408C2×C4—32no—
1409C2×C4—31no—
1410C2×C4—32no—
1411C2×C4—31no—
1412C2×C4—42no—
1413C2×C4—62no—
1414C2×C4—64no—
1415C2×C4—98no—
1416C2×C4—98no—
1417C2×C4—91no—
1418C2×C4—94no—
1419C2×C4—91no—
1420C2×C4—92no—
1421C2×C4—91no—
1422C2×C4—122no—
1423C2×C4—121no—
1424C2×C4—122no—
1425C2×C4—122no—
1426C2×C4—184no—
1427C2×C4—182no—
1428C2×C4—184no—
1429C2×C4—182no—
1430C2×C4—362no—
1431C2×C4—362no—
1432C2×C4—362no—
1433C2×C4—362no—
1434C2×C4—361no—
1435C2×C4—362no—
1436C2×C4—362no—
1437C2×C4—362no—
1438C2×C4—361no—
1439C2×C4—362no—
1440C2×C4C22×D3212yes—
1441C2×C4C22×D3211yescharacteristic
1442C2×C4C22×D3211yescharacteristic
1443C2×C4C22×D3211yescharacteristic
1444C2×C3—24no—
1445C2×C3—24no—
1446C2×C3—21no—
1447C2×C3—21no—
1448C2×C3—21no—
1449C2×C3—44no—
1450C2×C3—64no—
1451C2×C3—62no—
1452C2×C3—62no—
1453C2×C3C23×C4×D311yescharacteristic
1454C2×C3C23×C4×D311yescharacteristic
1455C2×C3C2×#100911yescharacteristic
1456C2×C3#596411yescharacteristic
1457C2×C3D3×H(5,𝔽2)11yescharacteristic
1458C2×C3#596611yescharacteristic
1459D3—22no—
1460D3—22no—
1461D3—24no—
1462D3—64no—
1463D3—62no—
1464D3—64no—
1465D3—62no—
1466D3—122no—
1467D3—124no—
1468C22—22no—
1469C22—22no—
1470C22—32no—
1471C22—32no—
1472C22—34no—
1473C22—62no—
1474C22—61no—
1475C22—61no—
1476C22—61no—
1477C22—62no—
1478C22—61no—
1479C22—94no—
1480C22—92no—
1481C22—128no—
1482C22—182no—
1483C22—181no—
1484C22—182no—
1485C22—181no—
1486C22—368no—
1487C22—368no—
1488C22C2×C4×D3214yes—
1489C22C23×D3211yescharacteristic
1490C4—21no—
1491C4—22no—
1492C4—21no—
1493C4—32no—
1494C4—32no—
1495C4—34no—
1496C4—32no—
1497C4—61no—
1498C4—61no—
1499C4—62no—
1500C4—62no—
1501C4—61no—
1502C4—92no—
1503C4—181no—
1504C4—182no—
1505C4—181no—
1506C4C2×C4×D3212yes—
1507C3—21no—
1508C3C4×#100911yescharacteristic, complemented
1509C3#8585711yescharacteristic, complemented
1510C2—24no—
1511C2—62no—
1512C2—64no—
1513C2—62no—
1514C2—182no—
1515C2—184no—
1516C2C22×C4×D3211yescharacteristic
1517C2#1059667811yescharacteristic
1518C2D3×#100911yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutatorC2×C32C24×C4
FittingC32×C4×D4C22
socle, cosocleC22×C32C25
prime radicalC2×#64314C2
hypercenterC4×D4D32
hypocenterC32C4×H(5,𝔽2)
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
2. #10596016C2semidirect
3. C3×#5545C2semidirect
4. C3×C4×#237C2semidirect
5. #10595222C2semidirect
6. D4×#624C2semidirect
7. D3×D4×Dic3C2semidirect
8. #10595058C2semidirect
9. #10595056C2semidirect
10. C2×#63880C2semidirect
11. C4×#3804C2semidirect
12. #10594604C2semidirect
13. #10594511C2semidirect
14. #10594362C2semidirect
15. #10594360C2semidirect
16. #10594255C2semidirect
17. D3×#67⋊C4C2semidirect
18. #10594182C2semidirect
19. #10594049C2semidirect
20. C4×D3×D12C2semidirect
21. #10593965C2semidirect
22. #10593890C2semidirect
23. #10593889C2semidirect
32. C22×#624C22semidirect
34. C22×D3×Dic3C22semidirect
35. #64314C4semidirect
37. C2×C4×D32C22semidirect
41. C32×C4×D4C22semidirect
42. D4×C3⋊Dic3C22semidirect
43. C4×#638C22semidirect
44. C2×#3752C22semidirect
45. #64102C22semidirect
46. #64101C22semidirect
47. #64090C22semidirect
48. C22⋊C4×C3⋊D3C22semidirect
49. C4×C4⋊(C3⋊D3)C22semidirect
50. #64081C22semidirect
51. C3×D4×Dic3C22semidirect
52. C3×D4×Dic3C22semidirect
53. C3×C4×#67C22semidirect
54. C3×C4×#67C22semidirect
55. C2×C3×(C2×D3)⋊C4C22semidirect
56. C2×C3×C4×Dic3C22semidirect
57. C3×#893C22semidirect
58. C3×#892C22semidirect
59. C3×#892C22semidirect
60. C3×#887C22semidirect
61. C3×#67⋊C4C22semidirect
62. C3×#67⋊C4C22semidirect
63. C3×D3×C22⋊C4C22semidirect
64. C3×#877C22semidirect
65. C3×C4×D12C22semidirect
66. C3×#872C22semidirect
67. C3×C42×D3C22semidirect
68. C3×C4×Dic6C22semidirect
69. #63974C22semidirect
70. #67⋊Dic3C22semidirect
71. #67⋊Dic3C22semidirect
72. Dic3×#67C22semidirect
73. Dic3×#67C22semidirect
74. D3×#217C22semidirect
75. C2×Dic3⋊Dic3C22semidirect
76. #63955C22semidirect
77. #63952C22semidirect
78. #63952C22semidirect
79. #63921C22semidirect
80. D3×(C2×D3)⋊C4C22semidirect
81. D3×(C2×D3)⋊C4C22semidirect
82. C4×#627C22semidirect
83. #63904C22semidirect
84. #63904C22semidirect
85. #63904C22semidirect
86. #63904C22semidirect
87. C4×#626C22semidirect
88. C4×#626C22semidirect
89. #63902C22semidirect
90. #63900C22semidirect
91. #63898C22semidirect
92. #63894C22semidirect
93. #63894C22semidirect
94. Dic3×D12C22semidirect
95. D3×C4⋊Dic3C22semidirect
96. D3×C4⋊Dic3C22semidirect
97. #63883C22semidirect
98. C4×#624C22semidirect
99. C4×#624C22semidirect
100. #63881C22semidirect
101. #63881C22semidirect
102. #63880C22semidirect
103. #63880C22semidirect
104. #63880C22semidirect
105. #63880C22semidirect
106. #63880C22semidirect
107. #63880C22semidirect
108. #63880C22semidirect
109. #63880C22semidirect
110. #63880C22semidirect
111. #63880C22semidirect
112. #63879C22semidirect
113. #63879C22semidirect
114. #63878C22semidirect
115. #63877C22semidirect
116. D3×Dic3⋊C4C22semidirect
117. C4×D3×Dic3C22semidirect
118. C4×D3×Dic3C22semidirect
119. #63855C22semidirect
120. #63843C22semidirect
121. Dic3×Dic6C22semidirect
122. #63837C22semidirect
123. #63837C22semidirect
124. #63836C22semidirect
125. #63836C22semidirect
146. #5545D3semidirect
156. C4×#237D3semidirect
180. D4×C3⋊D3C2×C4semidirect
190. C3×#237C2×C4semidirect
191. C3×D3×D4C2×C4semidirect
200. #3811C2×C4semidirect
201. D3×#67C2×C4semidirect
203. C2×#626C2×C4semidirect
217. #3804C2×C4semidirect
226. D3×D12C2×C4semidirect
228. #3799C2×C4semidirect
229. #3798C2×C4semidirect
230. #3796C2×C4semidirect
329. C3×C4×D4C2×D3semidirect
330. C3×C4×D4C2×D3semidirect
351. D4×Dic3C2×D3semidirect
352. D4×Dic3C2×D3semidirect
368. C4×#67C2×D3semidirect
369. C4×#67C2×D3semidirect
375. C2×(C2×D3)⋊C4C2×D3semidirect
385. C2×C4×Dic3C2×D3semidirect
398. #893C2×D3semidirect
405. #892C2×D3semidirect
406. #892C2×D3semidirect
417. #887C2×D3semidirect
441. #67⋊C4C2×D3semidirect
442. #67⋊C4C2×D3semidirect
453. D3×C22⋊C4C2×D3semidirect
457. #877C2×D3semidirect
476. C4×D12C2×D3semidirect
484. #872C2×D3semidirect
491. C42×D3C2×D3semidirect
497. C4×Dic6C2×D3semidirect
501. C22×C3⋊D3C22×C4semidirect
506. C22×C3×D3C22×C4semidirect
512. C2×D32C22×C4semidirect
513. C32×D4C22×C4semidirect
519. #638C22×C4semidirect
525. C4⋊(C3⋊D3)C22×C4semidirect
528. C4×C3⋊D3C22×C4semidirect
529. C3×#67C22×C4semidirect
530. C3×#67C22×C4semidirect
533. C2×C3×Dic3C22×C4semidirect
543. C3×D12C22×C4semidirect
548. C3×C4×D3C22×C4semidirect
549. C3×C4×D3C22×C4semidirect
550. C3×Dic6C22×C4semidirect
551. #627C22×C4semidirect
552. #626C22×C4semidirect
553. #626C22×C4semidirect
554. #626C22×C4semidirect
555. #626C22×C4semidirect
556. #626C22×C4semidirect
557. #625C22×C4semidirect
563. #624C22×C4semidirect
570. D3×Dic3C22×C4semidirect
654. #237C4×D3semidirect
662. D3×D4C4×D3semidirect
882. C3×Dic3H(5,𝔽2)semidirect
949. C4×D4D32semidirect
1015. C22×D3C2×C4×D3semidirect
1024. C3×D4C2×C4×D3semidirect
1025. C3×D4C2×C4×D3semidirect
1069. #67C2×C4×D3semidirect
1070. #67C2×C4×D3semidirect
1095. C2×Dic3C2×C4×D3semidirect
1113. D12C2×C4×D3semidirect
1146. C4×D3C2×C4×D3semidirect
1147. C4×D3C2×C4×D3semidirect
1150. Dic6C2×C4×D3semidirect
1369. Dic3#1009semidirect
1370. C32C4×H(5,𝔽2)semidirect
1399. D4C4×D32semidirect
1508. C3C4×#1009semidirect
1509. C3#85857semidirect

Maximal subgroups

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

subgroupindex
C2×#643142
#105960162
C3×#55452
C3×C4×#2372
#105952222
D4×#6242
D3×D4×Dic32
#105950582
#105950562
C2×#638802
C4×#38042
#105946042
#105945112
#105943622
#105943602
#105942552
D3×#67⋊C42
#105941822
#105940492
C4×D3×D122
#105939652
#105938902
#105938892
#858573
C4×#10093