Finite Group Databasebeta

← D3×#5605 #11900944

Subgroups — D3×#5605 #11900944

Order 1152.

4141 conjugacy classes of subgroups.

The subgroup lattice has 1593 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D32×D4C212yesmaximal, complemented
2#10596076C211yesmaximal, characteristic, complemented
3C3×#5605C211yesmaximal, characteristic, complemented
4C3×D3×#121C211yesmaximal, characteristic, complemented
5#10595308C212yesmaximal, complemented
6#10595302C212yesmaximal, complemented
7D3×#939C212yesmaximal, complemented
8#10595281C212yesmaximal, complemented
9D3×#937C212yesmaximal, complemented
10#10595084C211yesmaximal, characteristic, complemented
11#10595072C211yesmaximal, characteristic, complemented
12D3×#930C211yesmaximal, characteristic, complemented
13C2×D3×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
14#10594611C212yesmaximal, complemented
15D3×#894C212yesmaximal, complemented
16#10594264C212yesmaximal, complemented
17#10594263C212yesmaximal, complemented
18D3×#883C212yesmaximal, complemented
19D3×#882C212yesmaximal, complemented
20D3×#534—31nomaximal
21C2×#5605—31nomaximal
22C23×D32C2211yescharacteristic
23C23×D32C2212yescomplemented
24C2×D4×C3⋊D3C2212yescomplemented
25C2×C3×D3×D4C2212yescomplemented
26C2×C3×D3×D4C2211yescharacteristic, complemented
27C2×C3×D3×D4C2212yescomplemented
28C22×C3×C4×D3C2211yescharacteristic, complemented
29C2×#3811C2212yescomplemented
30C2×#3811C2212yescomplemented
31C2×D3×#67C2212yes—
32C2×D3×#67C2212yescomplemented
33C2×D3×#67C2212yescomplemented
34C2×D3×#67C2212yescomplemented
35C2×D3×#67C2212yescomplemented
36C22×D3×Dic3C2211yescharacteristic, complemented
37D32×D4—216no—
38C2×#3802C2212yescomplemented
39C2×D3×D12C2212yes—
40C2×D3×D12C2211yescharacteristic, complemented
41C2×D3×D12C2212yescomplemented
42C2×C4×D32C2212yescomplemented
43C32×#121C2211yescharacteristic, complemented
44#64148C2212yescomplemented
45#64146C2212yescomplemented
46#64139C2211yescharacteristic, complemented
47C2×#3752C2211yescharacteristic, complemented
48#64103C2212yescomplemented
49#64092C2212yescomplemented
50#64091C2212yescomplemented
51C3×#939C2212yescomplemented
52C3×#939C2212yescomplemented
53C3×#938C2211yescharacteristic, complemented
54C3×#937C2212yescomplemented
55C3×#930C2211yescharacteristic, complemented
56C3×#930C2211yescharacteristic, complemented
57C2×C3×(C2×D3)⋊C4C2211yescharacteristic, complemented
58C3×#895C2211yescharacteristic, complemented
59C3×#894C2212yescomplemented
60C3×D3×C4⋊C4C2211yescharacteristic, complemented
61C3×#884C2212yescomplemented
62C3×#883C2212yescomplemented
63C3×#882C2212yescomplemented
64C3×D3×C22⋊C4C2212yescomplemented
65#63983C2212yescomplemented
66#63983C2212yescomplemented
67#63981C2212yescomplemented
68#63981C2212yescomplemented
69#63980C2212yescomplemented
70#63978C2212yescomplemented
71#63978C2212yescomplemented
72#63977C2212yescomplemented
73#63976C2212yescomplemented
74#63975C2212yescomplemented
75#63971C2212yescomplemented
76#63970C2212yescomplemented
77#63969C2212yescomplemented
78D3×#217C2212yescomplemented
79C2×#3722C2211yescharacteristic, complemented
80C2×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
81#63923C2212yescomplemented
82#63923C2212yescomplemented
83#63922C2212yescomplemented
84#63922C2212yescomplemented
85#63922C2212yescomplemented
86#63922C2212yescomplemented
87D3×(C2×D3)⋊C4C2212yescomplemented
88D3×(C2×D3)⋊C4C2212yescomplemented
89D3×(C2×D3)⋊C4C2212yescomplemented
90D3×(C2×D3)⋊C4C2212yescomplemented
91D3×(C2×D3)⋊C4C2212yescomplemented
92D3×(C2×D3)⋊C4C2212yescomplemented
93#63909C2211yescharacteristic, complemented
94#63908C2211yescharacteristic, complemented
95#63906C2212yescomplemented
96#63905C2212yescomplemented
97#63897C2212yescomplemented
98#63891C2212yescomplemented
99#63890C2212yescomplemented
100D3×C4⋊Dic3C2211yescharacteristic, complemented
101#63886C2212yescomplemented
102#63885C2212yescomplemented
103#63884C2212yescomplemented
104D3×Dic3⋊C4C2212yescomplemented
105#63854C2212yescomplemented
106#63854C2212yescomplemented
107#63853C2212yescomplemented
108#63853C2212yescomplemented
109#63850C2212yescomplemented
110C22×D3×D4—32no—
111C22×D3×D4—32no—
112C3×#534—31no—
113C2×C3×#121—31no—
114#5804—32no—
115C2×#939—32no—
116C2×#937—32no—
117C2×#930—31no—
118C22×(C2×D3)⋊C4—31no—
119#5653—32no—
120#5653—32no—
121D3×#123—32no—
122D3×#123—32no—
123#5605—32no—
124#5605—31no—
125#5605—31no—
126#5605—32no—
127#5605—32no—
128#5605—32no—
129#5605—31no—
130#5605—31no—
131#5605—31no—
132#5605—32no—
133#5605—32no—
134#5605—32no—
135#5605—61no—
136#5605D311yescharacteristic, direct product factor
137D3×#121—32no—
138D3×#121—31no—
139D3×#121D311yescharacteristic, complemented
140#5589—32no—
141#5589—32no—
142D3×#120—32no—
143D3×#120—32no—
144C2×#894—32no—
145#5493—31no—
146C2×#883—32no—
147C2×#882—32no—
148C2×D3×C22⋊C4—31no—
149C23×C3⋊D3C2311yescharacteristic
150C23×C3⋊D3C2312yescomplemented
151C23×C3×D3C2312yes—
152C23×C3×D3C2311yescharacteristic
153C23×C3×D3C2311yescharacteristic
154C23×C3×D3C2312yescomplemented
155C22×D32—28no—
156C22×D32—42no—
157C22×D32—42no—
158C22×D32—44no—
159C22×D32—44no—
160C22×D32D418yescomplemented
161C22×D32C2312yes—
162C22×D32C2312yes—
163C22×D32C2312yes—
164C22×D32C2312yescomplemented
165C22×D32C2312yescomplemented
166C2×C32×D4C2312yescomplemented
167C2×C32×D4C2311yescharacteristic, complemented
168C22×C32×C4C2311yescharacteristic, complemented
169C2×#638C2312yes—
170C2×#638C2312yescomplemented
171C2×#638C2312yescomplemented
172C22×C3⋊Dic3C2311yescharacteristic, complemented
173D4×C3⋊D3—28no—
174C2×C4⋊(C3⋊D3)C2312yes—
175C2×C4⋊(C3⋊D3)C2311yescharacteristic, complemented
176C2×C4×C3⋊D3C2312yescomplemented
177C2×C3×#67C2312yes—
178C2×C3×#67C2312yescomplemented
179C2×C3×#67C2312yescomplemented
180C2×C3×#67C2312yescomplemented
181C2×C3×#67C2312yescomplemented
182C2×C3×#67C2312yescomplemented
183C22×C3×Dic3C2311yescharacteristic, complemented
184C22×C3×Dic3C2311yescharacteristic, complemented
185C3×D3×D4—28no—
186C3×D3×D4—28no—
187C3×D3×D4—42no—
188C2×C3×D12C2312yes—
189C2×C3×D12C2312yescomplemented
190C2×C3×D12C2311yescharacteristic, complemented
191C2×C3×D12C2311yescharacteristic, complemented
192C2×C3×C4×D3—42no—
193C2×C3×C4×D3C2311yescharacteristic
194C2×C3×C4×D3C2312yes—
195C2×C3×C4×D3C2311yescharacteristic
196C2×C3×C4×D3C2312yescomplemented
197C2×C3×C4×D3C2311yescharacteristic, complemented
198C2×C3×C4×D3C2311yescharacteristic, complemented
199#3811—28no—
200#3811—28no—
201D3×#67—28no—
202D3×#67—28no—
203D3×#67—28no—
204D3×#67—28no—
205D3×#67—44no—
206C2×#626C2312yes—
207C2×#626C2312yes—
208C2×#626C2312yes—
209C2×#626C2312yescomplemented
210C2×#626C2312yescomplemented
211C2×#626C2312yescomplemented
212C2×#625C2312yes—
213C2×#625C2312yescomplemented
214C2×#625C2312yescomplemented
215C2×#624C2312yescomplemented
216C2×D3×Dic3—42no—
217C2×D3×Dic3C2312yes—
218C2×D3×Dic3C2312yes—
219C2×D3×Dic3C2312yescomplemented
220C2×D3×Dic3C2312yescomplemented
221#3802—28no—
222D3×D12—28no—
223D3×D12—28no—
224D3×D12—42no—
225C4×D32—28no—
226C32×C4⋊C4C2311yescharacteristic, complemented
227C32×C22⋊C4C2312yescomplemented
228#3757C2312yescomplemented
229#3752C2312yescomplemented
230#3752C2312yescomplemented
231#3752C2312yescomplemented
232#3752C2312yescomplemented
233C4⋊(C3⋊Dic3)C2311yescharacteristic, complemented
234#3750C2312yescomplemented
235C3×#217C2312yescomplemented
236C3×#217C2312yescomplemented
237C3×(C2×D3)⋊C4C2312yescomplemented
238C3×(C2×D3)⋊C4C2312yescomplemented
239C3×(C2×D3)⋊C4C2312yescomplemented
240C3×(C2×D3)⋊C4C2312yescomplemented
241C3×(C2×D3)⋊C4C2312yescomplemented
242C3×(C2×D3)⋊C4C2312yescomplemented
243C3×C4⋊Dic3C2311yescharacteristic, complemented
244C3×C4⋊Dic3C2311yescharacteristic, complemented
245C3×Dic3⋊C4C2312yescomplemented
246C3×Dic3⋊C4C2312yescomplemented
247#3724C2312yescomplemented
248Dic3⋊Dic3C2312yescomplemented
249Dic3⋊Dic3C2312yescomplemented
250#3722C2312yescomplemented
251#3722C2312yescomplemented
252#3722C2312yescomplemented
253#3722C2312yescomplemented
254(C2×D3)⋊Dic3C2312yescomplemented
255(C2×D3)⋊Dic3C2312yescomplemented
256(C2×D3)⋊Dic3C2312yescomplemented
257(C2×D3)⋊Dic3C2312yescomplemented
258(C2×D3)⋊Dic3C2312yescomplemented
259(C2×D3)⋊Dic3C2312yescomplemented
260C2×#534—91noSylow
261C24×D3—31no—
262C24×D3—31no—
263C24×D3—32no—
264C24×D3—32no—
265C22×C3×D4—32no—
266C22×C3×D4—32no—
267C22×C3×D4—31no—
268C23×C3×C4—31no—
269C22×#67—32no—
270C22×#67—32no—
271C22×#67—32no—
272C22×#67—32no—
273C22×#67—32no—
274C23×Dic3—31no—
275C2×D3×D4—32no—
276C2×D3×D4—32no—
277C2×D3×D4—32no—
278C2×D3×D4—32no—
279C2×D3×D4—32no—
280C2×D3×D4—32no—
281C2×D3×D4—32no—
282C2×D3×D4—32no—
283C2×D3×D4—32no—
284C2×D3×D4—32no—
285C2×D3×D4—32no—
286C2×D3×D4—32no—
287C2×D3×D4—32no—
288C2×D3×D4—32no—
289C2×D3×D4—31no—
290C2×D3×D4—32no—
291C2×D3×D4—62no—
292C2×D3×D4—616no—
293C2×D3×D4—616no—
294C2×D3×D4C2×D312yescomplemented
295C2×D3×D4C2×D311yescharacteristic, complemented
296C2×D3×D4C2×D312yescomplemented
297C22×D12—32no—
298C22×D12—32no—
299C22×D12—31no—
300C22×C4×D3—31no—
301C22×C4×D3—32no—
302C22×C4×D3—32no—
303C22×C4×D3C2×D311yescharacteristic, complemented
304C3×#123—32no—
305C3×#123—32no—
306C3×#121—21no—
307C3×#121—31no—
308C3×#121—32no—
309C3×#121—32no—
310C3×#121—31no—
311C3×#121—31no—
312C3×#121—31no—
313C3×#121—32no—
314C3×#121C2×D311yescharacteristic, complemented
315C3×#121C2×D311yescharacteristic, complemented
316C3×#120—32no—
317C3×#120—32no—
318C2×C3×C4⋊C4—31no—
319C2×C3×C22⋊C4—31no—
320C2×C3×C22⋊C4—32no—
321#953—32no—
322#953—32no—
323C2×#217—31no—
324C2×#217—32no—
325#939—32no—
326#939—32no—
327#939—32no—
328#939—32no—
329#939—32no—
330#939—32no—
331#939—32no—
332#939—32no—
333#939—32no—
334#939—32no—
335#939—62no—
336#939C2×D312yescomplemented
337#939C2×D312yescomplemented
338#938—32no—
339#938—31no—
340#938C2×D311yescharacteristic, complemented
341#937—32no—
342#937—32no—
343#937—32no—
344#937—32no—
345#937—32no—
346#937—32no—
347#937—32no—
348#937—32no—
349#937—32no—
350#937—32no—
351#937—32no—
352#937—32no—
353#937—32no—
354#937—62no—
355#937C2×D312yescomplemented
356#935—32no—
357#935—32no—
358#930—31no—
359#930—31no—
360#930—32no—
361#930—32no—
362#930—31no—
363#930—32no—
364#930—31no—
365#930—61no—
366#930C2×D311yescharacteristic, complemented
367#930C2×D311yescharacteristic, complemented
368#929—32no—
369#929—32no—
370C2×(C2×D3)⋊C4—31no—
371C2×(C2×D3)⋊C4—31no—
372C2×(C2×D3)⋊C4—31no—
373C2×(C2×D3)⋊C4—31no—
374C2×(C2×D3)⋊C4—31no—
375C2×(C2×D3)⋊C4—32no—
376C2×(C2×D3)⋊C4—32no—
377C2×(C2×D3)⋊C4—32no—
378C2×(C2×D3)⋊C4—32no—
379C2×(C2×D3)⋊C4—32no—
380C2×(C2×D3)⋊C4—32no—
381C2×(C2×D3)⋊C4—61no—
382C2×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
383C2×C4⋊Dic3—31no—
384C2×Dic3⋊C4—32no—
385#895—32no—
386#895—31no—
387#895C2×D311yescharacteristic, complemented
388#894—32no—
389#894—32no—
390#894—32no—
391#894—32no—
392#894—32no—
393#894—32no—
394#894—32no—
395#894—32no—
396#894—32no—
397#894—32no—
398#894—32no—
399#894—62no—
400#894C2×D312yescomplemented
401D3×C4⋊C4—32no—
402D3×C4⋊C4—31no—
403D3×C4⋊C4C2×D311yescharacteristic, complemented
404#886—32no—
405#886—32no—
406#884—32no—
407#884—32no—
408#884—32no—
409#884C2×D312yescomplemented
410#883—32no—
411#883—32no—
412#883—32no—
413#883—32no—
414#883—32no—
415#883—32no—
416#883—32no—
417#883—32no—
418#883—32no—
419#883—32no—
420#883—32no—
421#883—62no—
422#883C2×D312yescomplemented
423#882—32no—
424#882—32no—
425#882—32no—
426#882—32no—
427#882—32no—
428#882—32no—
429#882—32no—
430#882—32no—
431#882—32no—
432#882—32no—
433#882—32no—
434#882—32no—
435#882—32no—
436#882—62no—
437#882C2×D312yescomplemented
438D3×C22⋊C4—32no—
439D3×C22⋊C4—32no—
440D3×C22⋊C4—32no—
441D3×C22⋊C4—32no—
442D3×C22⋊C4—32no—
443D3×C22⋊C4—32no—
444D3×C22⋊C4—32no—
445D3×C22⋊C4C2×D312yescomplemented
446C23×C32C2412yes—
447C23×C32C2411yescharacteristic
448C22×C3⋊D3—24no—
449C22×C3⋊D3—41no—
450C22×C3⋊D3—41no—
451C22×C3⋊D3—42no—
452C22×C3⋊D3—42no—
453C22×C3⋊D3C2×D414yescomplemented
454C22×C3⋊D3C2412yes—
455C22×C3⋊D3C2412yes—
456C22×C3×D3—22no—
457C22×C3×D3—22no—
458C22×C3×D3—24no—
459C22×C3×D3—24no—
460C22×C3×D3—24no—
461C22×C3×D3—24no—
462C22×C3×D3—41no—
463C22×C3×D3—41no—
464C22×C3×D3—42no—
465C22×C3×D3—42no—
466C22×C3×D3C2×D414yes—
467C22×C3×D3C2×D414yescomplemented
468C22×C3×D3C2412yes—
469C22×C3×D3C2412yes—
470C22×C3×D3C2412yes—
471C22×C3×D3C2411yescharacteristic
472C22×C3×D3C2411yescharacteristic
473C2×D32—24no—
474C2×D32—24no—
475C2×D32—24no—
476C2×D32—24no—
477C2×D32—24no—
478C2×D32—24no—
479C2×D32—24no—
480C2×D32—416no—
481C2×D32—432no—
482C2×D32—42no—
483C2×D32—42no—
484C2×D32—42no—
485C2×D32—42no—
486C2×D32—42no—
487C2×D32—42no—
488C2×D32C2×D418yes—
489C2×D32C2×D418yescomplemented
490C32×D4—24no—
491C32×D4—41no—
492C2×C32×C4—41no—
493C2×C32×C4C2412yes—
494C2×C32×C4C2411yescharacteristic
495C2×C32×C4C2411yescharacteristic
496#638—24no—
497#638—24no—
498#638—42no—
499C2×C3⋊Dic3—41no—
500C2×C3⋊Dic3C2412yes—
501C2×C3⋊Dic3C2412yes—
502C4⋊(C3⋊D3)—24no—
503C4⋊(C3⋊D3)—41no—
504C4×C3⋊D3—24no—
505C3×#67—24no—
506C3×#67—24no—
507C3×#67—24no—
508C3×#67—24no—
509C3×#67—42no—
510C3×#67—42no—
511C2×C3×Dic3—41no—
512C2×C3×Dic3—41no—
513C2×C3×Dic3C2411yescharacteristic
514C2×C3×Dic3C2411yescharacteristic
515C2×C3×Dic3C2412yes—
516C2×C3×Dic3C2412yes—
517C2×C3×Dic3C2412yes—
518C3×D12—24no—
519C3×D12—24no—
520C3×D12—41no—
521C3×D12—41no—
522C3×C4×D3—24no—
523C3×C4×D3—24no—
524C3×C4×D3—22no—
525C3×C4×D3—22no—
526C3×C4×D3—41no—
527C3×C4×D3—41no—
528#626—24no—
529#626—24no—
530#626—24no—
531#626—24no—
532#626—42no—
533#626—42no—
534#625—24no—
535#625—24no—
536#625—42no—
537#624—24no—
538D3×Dic3—24no—
539D3×Dic3—24no—
540D3×Dic3—24no—
541D3×Dic3—42no—
542C23×D4—92no—
543#534—31no—
544#534—91no—
545#534—92no—
546#534—92no—
547#534—92no—
548#534—91no—
549#534—92no—
550#534—92no—
551#534—92no—
552#534—91no—
553C2×#123—92no—
554C2×#123—92no—
555C2×#121—31no—
556C2×#121—91no—
557C2×#121—92no—
558C2×#120—92no—
559C2×#120—92no—
560C22×C22⋊C4—91no—
561C24×C3—31no—
562C24×C3—31no—
563C24×C3—32no—
564C24×C3—32no—
565C23×D3—31no—
566C23×D3—31no—
567C23×D3—32no—
568C23×D3—32no—
569C23×D3—38no—
570C23×D3—38no—
571C23×D3—32no—
572C23×D3—32no—
573C23×D3—32no—
574C23×D3—32no—
575C23×D3—32no—
576C23×D3—32no—
577C23×D3—32no—
578C23×D3—32no—
579C23×D3—32no—
580C23×D3—32no—
581C23×D3—61no—
582C23×D3—62no—
583C23×D3—68no—
584C23×D3—68no—
585C23×D3—122no—
586C23×D3—122no—
587C23×D3—124no—
588C23×D3—124no—
589C23×D3—122no—
590C23×D3—122no—
591C23×D3—124no—
592C23×D3—124no—
593C23×D3C22×D312yes—
594C23×D3C22×D311yescharacteristic
595C23×D3C22×D311yescharacteristic
596C23×D3C22×D312yescomplemented
597C2×C3×D4—22no—
598C2×C3×D4—21no—
599C2×C3×D4—32no—
600C2×C3×D4—32no—
601C2×C3×D4—32no—
602C2×C3×D4—32no—
603C2×C3×D4—32no—
604C2×C3×D4—32no—
605C2×C3×D4—32no—
606C2×C3×D4—32no—
607C2×C3×D4—31no—
608C2×C3×D4—31no—
609C2×C3×D4—68no—
610C2×C3×D4—68no—
611C2×C3×D4—122no—
612C2×C3×D4C22×D312yescomplemented
613C2×C3×D4C22×D312yescomplemented
614C2×C3×D4C22×D311yescharacteristic, complemented
615C2×C3×D4C22×D311yescharacteristic, complemented
616C22×C3×C4—21no—
617C22×C3×C4—31no—
618C22×C3×C4—31no—
619C22×C3×C4—32no—
620C22×C3×C4—31no—
621C22×C3×C4—31no—
622C22×C3×C4—32no—
623C22×C3×C4—31no—
624C22×C3×C4—31no—
625C22×C3×C4—122no—
626C22×C3×C4C22×D311yescharacteristic, complemented
627C22×C3×C4C22×D311yescharacteristic, complemented
628C2×#67—32no—
629C2×#67—32no—
630C2×#67—32no—
631C2×#67—32no—
632C2×#67—32no—
633C2×#67—32no—
634C2×#67—32no—
635C2×#67—32no—
636C2×#67—32no—
637C2×#67—32no—
638C2×#67—32no—
639C2×#67—32no—
640C2×#67—32no—
641C2×#67—32no—
642C2×#67—32no—
643C2×#67—32no—
644C2×#67—32no—
645C2×#67—32no—
646C2×#67—62no—
647C2×#67—62no—
648C2×#67—62no—
649C2×#67—68no—
650C2×#67—68no—
651C2×#67—68no—
652C2×#67—68no—
653C2×#67—124no—
654C2×#67C22×D312yes—
655C2×#67C22×D312yescomplemented
656C2×#67C22×D312yescomplemented
657C2×#67C22×D312yescomplemented
658C2×#67C22×D312yescomplemented
659C2×#67C22×D312yescomplemented
660C22×Dic3—31no—
661C22×Dic3—31no—
662C22×Dic3—32no—
663C22×Dic3—32no—
664C22×Dic3—32no—
665C22×Dic3—32no—
666C22×Dic3—61no—
667C22×Dic3—122no—
668C22×Dic3C22×D311yescharacteristic, complemented
669C22×Dic3C22×D311yescharacteristic, complemented
670D3×D4—28no—
671D3×D4—28no—
672D3×D4—42no—
673D3×D4—68no—
674D3×D4—68no—
675D3×D4—68no—
676D3×D4—68no—
677D3×D4—68no—
678D3×D4—68no—
679D3×D4—68no—
680D3×D4—68no—
681D3×D4—68no—
682D3×D4—68no—
683D3×D4—68no—
684D3×D4—68no—
685D3×D4—68no—
686D3×D4—68no—
687D3×D4—128no—
688D3×D4—122no—
689D3×D4—124no—
690C2×D12—32no—
691C2×D12—32no—
692C2×D12—32no—
693C2×D12—32no—
694C2×D12—32no—
695C2×D12—32no—
696C2×D12—32no—
697C2×D12—32no—
698C2×D12—31no—
699C2×D12—31no—
700C2×D12—62no—
701C2×D12—61no—
702C2×D12—68no—
703C2×D12—68no—
704C2×D12—122no—
705C2×D12C22×D312yes—
706C2×D12C22×D312yescomplemented
707C2×D12C22×D311yescharacteristic, complemented
708C2×D12C22×D311yescharacteristic, complemented
709C2×C4×D3—32no—
710C2×C4×D3—32no—
711C2×C4×D3—32no—
712C2×C4×D3—32no—
713C2×C4×D3—32no—
714C2×C4×D3—32no—
715C2×C4×D3—32no—
716C2×C4×D3—32no—
717C2×C4×D3—42no—
718C2×C4×D3—62no—
719C2×C4×D3—68no—
720C2×C4×D3—68no—
721C2×C4×D3—122no—
722C2×C4×D3C22×D311yescharacteristic
723C2×C4×D3C22×D311yescharacteristic
724C2×C4×D3C22×D312yes—
725C2×C4×D3C22×D312yescomplemented
726C2×C4×D3C22×D311yescharacteristic, complemented
727C2×C4×D3C22×D311yescharacteristic, complemented
728C3×C4⋊C4—21no—
729C3×C4⋊C4—32no—
730C3×C4⋊C4—31no—
731C3×C4⋊C4—32no—
732C3×C4⋊C4—31no—
733C3×C4⋊C4C22×D311yescharacteristic, complemented
734C3×C4⋊C4C22×D311yescharacteristic, complemented
735C3×C22⋊C4—22no—
736C3×C22⋊C4—32no—
737C3×C22⋊C4—32no—
738C3×C22⋊C4—32no—
739C3×C22⋊C4—32no—
740C3×C22⋊C4—32no—
741C3×C22⋊C4—32no—
742C3×C22⋊C4—32no—
743C3×C22⋊C4—32no—
744C3×C22⋊C4C22×D312yescomplemented
745C3×C22⋊C4C22×D312yescomplemented
746#217—32no—
747#217—32no—
748#217—32no—
749#217—32no—
750#217—32no—
751#217—32no—
752#217—32no—
753#217—32no—
754#217—62no—
755#217C22×D312yescomplemented
756#217C22×D312yescomplemented
757(C2×D3)⋊C4—32no—
758(C2×D3)⋊C4—32no—
759(C2×D3)⋊C4—32no—
760(C2×D3)⋊C4—32no—
761(C2×D3)⋊C4—32no—
762(C2×D3)⋊C4—32no—
763(C2×D3)⋊C4—32no—
764(C2×D3)⋊C4—32no—
765(C2×D3)⋊C4—32no—
766(C2×D3)⋊C4—32no—
767(C2×D3)⋊C4—32no—
768(C2×D3)⋊C4—32no—
769(C2×D3)⋊C4—32no—
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—32no—
779(C2×D3)⋊C4—62no—
780(C2×D3)⋊C4—62no—
781(C2×D3)⋊C4—62no—
782(C2×D3)⋊C4—62no—
783(C2×D3)⋊C4C22×D312yescomplemented
784(C2×D3)⋊C4C22×D312yescomplemented
785(C2×D3)⋊C4C22×D312yescomplemented
786(C2×D3)⋊C4C22×D312yescomplemented
787(C2×D3)⋊C4C22×D312yescomplemented
788(C2×D3)⋊C4C22×D312yescomplemented
789C4⋊Dic3—31no—
790C4⋊Dic3—31no—
791C4⋊Dic3—32no—
792C4⋊Dic3—32no—
793C4⋊Dic3—61no—
794C4⋊Dic3C22×D311yescharacteristic, complemented
795C4⋊Dic3C22×D311yescharacteristic, complemented
796Dic3⋊C4—32no—
797Dic3⋊C4—32no—
798Dic3⋊C4—32no—
799Dic3⋊C4—32no—
800Dic3⋊C4—32no—
801Dic3⋊C4—32no—
802Dic3⋊C4—62no—
803Dic3⋊C4C22×D312yescomplemented
804Dic3⋊C4C22×D312yescomplemented
805C22×C32—21no—
806C22×C32—21no—
807C22×C32—22no—
808C22×C32—22no—
809C22×C32—22no—
810C22×C32C22×D412yes—
811C22×C32C2511yescharacteristic
812C2×C3⋊D3—22no—
813C2×C3⋊D3—22no—
814C2×C3⋊D3—22no—
815C2×C3⋊D3—22no—
816C2×C3⋊D3—22no—
817C2×C3⋊D3—44no—
818C2×C3⋊D3—48no—
819C2×C3⋊D3C22×D414yes—
820C2×C3×D3—21no—
821C2×C3×D3—21no—
822C2×C3×D3—22no—
823C2×C3×D3—22no—
824C2×C3×D3—28no—
825C2×C3×D3—22no—
826C2×C3×D3—22no—
827C2×C3×D3—22no—
828C2×C3×D3—22no—
829C2×C3×D3—22no—
830C2×C3×D3—22no—
831C2×C3×D3—44no—
832C2×C3×D3—48no—
833C2×C3×D3—48no—
834C2×C3×D3C22×D414yes—
835C2×C3×D3C22×D412yes—
836C2×C3×D3C22×D412yes—
837C2×C3×D3H(5,𝔽2)12yes—
838C2×C3×D3H(5,𝔽2)12yes—
839D32—216no—
840D32—48no—
841D32—48no—
842D32—48no—
843D32—48no—
844C32×C4—22no—
845C32×C4—21no—
846C32×C4—21no—
847C3⋊Dic3—22no—
848C3⋊Dic3—22no—
849C3×Dic3—22no—
850C3×Dic3—22no—
851C3×Dic3—22no—
852C3×Dic3—21no—
853C3×Dic3—21no—
854C25—91no—
855C25—92no—
856C22×D4—32no—
857C22×D4—32no—
858C22×D4—31no—
859C22×D4—92no—
860C22×D4—92no—
861C22×D4—91no—
862C22×D4—92no—
863C22×D4—92no—
864C22×D4—92no—
865C22×D4—92no—
866C22×D4—92no—
867C22×D4—92no—
868C22×D4—92no—
869C22×D4—92no—
870C22×D4—92no—
871C22×D4—1816no—
872C23×C4—31no—
873C23×C4—92no—
874C23×C4—91no—
875#123—32no—
876#123—32no—
877#123—92no—
878#123—92no—
879#123—92no—
880#123—92no—
881#123—92no—
882#123—92no—
883#123—92no—
884#123—92no—
885#123—92no—
886#123—92no—
887#123—92no—
888#123—92no—
889#123—92no—
890#123—92no—
891#121—31no—
892#121—32no—
893#121—32no—
894#121—31no—
895#121—31no—
896#121—31no—
897#121—32no—
898#121—92no—
899#121—92no—
900#121—92no—
901#121—91no—
902#121—92no—
903#121—91no—
904#121—92no—
905#121—92no—
906#121—92no—
907#121—92no—
908#121—92no—
909#121—91no—
910#121D3211yescharacteristic, complemented
911#120—32no—
912#120—32no—
913#120—92no—
914#120—92no—
915#120—92no—
916#120—92no—
917#120—92no—
918#120—92no—
919#120—92no—
920#120—92no—
921#120—92no—
922#120—92no—
923#120—92no—
924#120—92no—
925#120—92no—
926#120—92no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—92no—
929C2×C4⋊C4—91no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—32no—
932C2×C22⋊C4—92no—
933C2×C22⋊C4—92no—
934C2×C22⋊C4—92no—
935C2×C22⋊C4—92no—
936C2×C22⋊C4—92no—
937C2×C22⋊C4—92no—
938C2×C22⋊C4—92no—
939C2×C22⋊C4—91no—
940C2×C22⋊C4—91no—
941C2×C22⋊C4—91no—
942C23×C3—21no—
943C23×C3—22no—
944C23×C3—31no—
945C23×C3—34no—
946C23×C3—32no—
947C23×C3—31no—
948C23×C3—34no—
949C23×C3—32no—
950C23×C3—32no—
951C23×C3—62no—
952C23×C3—62no—
953C23×C3—64no—
954C23×C3—64no—
955C23×C3—64no—
956C23×C3—64no—
957C23×C3—121no—
958C23×C3—121no—
959C23×C3—122no—
960C23×C3—122no—
961C23×C3C23×D312yes—
962C23×C3C23×D312yes—
963C23×C3C23×D311yescharacteristic
964C23×C3C23×D311yescharacteristic
965C22×D3—22no—
966C22×D3—22no—
967C22×D3—24no—
968C22×D3—24no—
969C22×D3—24no—
970C22×D3—24no—
971C22×D3—32no—
972C22×D3—32no—
973C22×D3—34no—
974C22×D3—34no—
975C22×D3—38no—
976C22×D3—38no—
977C22×D3—38no—
978C22×D3—38no—
979C22×D3—32no—
980C22×D3—32no—
981C22×D3—41no—
982C22×D3—41no—
983C22×D3—42no—
984C22×D3—42no—
985C22×D3—62no—
986C22×D3—64no—
987C22×D3—62no—
988C22×D3—64no—
989C22×D3—64no—
990C22×D3—64no—
991C22×D3—64no—
992C22×D3—64no—
993C22×D3—64no—
994C22×D3—64no—
995C22×D3—64no—
996C22×D3—64no—
997C22×D3—64no—
998C22×D3—64no—
999C22×D3—64no—
1000C22×D3—64no—
1001C22×D3—64no—
1002C22×D3—64no—
1003C22×D3—64no—
1004C22×D3—124no—
1005C22×D3—1216no—
1006C22×D3—122no—
1007C22×D3—122no—
1008C22×D3—122no—
1009C22×D3—122no—
1010C22×D3—122no—
1011C22×D3—122no—
1012C22×D3—122no—
1013C22×D3—122no—
1014C22×D3—122no—
1015C22×D3—122no—
1016C22×D3—122no—
1017C22×D3—122no—
1018C22×D3—1216no—
1019C22×D3—1232no—
1020C22×D3—1232no—
1021C22×D3—121no—
1022C22×D3—122no—
1023C22×D3—121no—
1024C22×D3—122no—
1025C22×D3—121no—
1026C22×D3—121no—
1027C22×D3—122no—
1028C22×D3—122no—
1029C22×D3—241no—
1030C22×D3—241no—
1031C22×D3—242no—
1032C22×D3—242no—
1033C22×D3D3×D414yes—
1034C22×D3D3×D414yescomplemented
1035C22×D3C23×D312yes—
1036C22×D3C23×D312yes—
1037C22×D3C23×D312yes—
1038C22×D3C23×D311yescharacteristic
1039C22×D3C23×D311yescharacteristic
1040C3×D4—24no—
1041C3×D4—24no—
1042C3×D4—44no—
1043C3×D4—41no—
1044C3×D4—41no—
1045C3×D4—64no—
1046C3×D4—64no—
1047C3×D4—64no—
1048C3×D4—64no—
1049C3×D4—64no—
1050C3×D4—64no—
1051C3×D4—81no—
1052C3×D4—121no—
1053C3×D4—121no—
1054C3×D4—122no—
1055C3×D4—122no—
1056C2×C3×C4—22no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—32no—
1060C2×C3×C4—32no—
1061C2×C3×C4—31no—
1062C2×C3×C4—32no—
1063C2×C3×C4—31no—
1064C2×C3×C4—41no—
1065C2×C3×C4—41no—
1066C2×C3×C4—64no—
1067C2×C3×C4—64no—
1068C2×C3×C4—62no—
1069C2×C3×C4—62no—
1070C2×C3×C4—81no—
1071C2×C3×C4—121no—
1072C2×C3×C4—121no—
1073C2×C3×C4—121no—
1074C2×C3×C4—121no—
1075C2×C3×C4C23×D312yes—
1076C2×C3×C4C23×D312yes—
1077C2×C3×C4C23×D311yescharacteristic
1078C2×C3×C4C23×D311yescharacteristic
1079C2×C3×C4C23×D311yescharacteristic
1080C2×C3×C4C23×D311yescharacteristic
1081#67—24no—
1082#67—24no—
1083#67—24no—
1084#67—24no—
1085#67—42no—
1086#67—42no—
1087#67—64no—
1088#67—64no—
1089#67—64no—
1090#67—64no—
1091#67—64no—
1092#67—64no—
1093#67—64no—
1094#67—64no—
1095#67—64no—
1096#67—64no—
1097#67—64no—
1098#67—64no—
1099#67—124no—
1100#67—124no—
1101#67—122no—
1102#67—122no—
1103#67—122no—
1104#67—122no—
1105#67—122no—
1106#67—122no—
1107#67—242no—
1108C2×Dic3—32no—
1109C2×Dic3—32no—
1110C2×Dic3—32no—
1111C2×Dic3—32no—
1112C2×Dic3—41no—
1113C2×Dic3—41no—
1114C2×Dic3—62no—
1115C2×Dic3—62no—
1116C2×Dic3—64no—
1117C2×Dic3—64no—
1118C2×Dic3—64no—
1119C2×Dic3—122no—
1120C2×Dic3—121no—
1121C2×Dic3—121no—
1122C2×Dic3—241no—
1123C2×Dic3C23×D311yescharacteristic
1124C2×Dic3C23×D312yes—
1125C2×Dic3C23×D312yes—
1126C2×Dic3C23×D312yes—
1127C2×Dic3C23×D311yescharacteristic
1128D12—24no—
1129D12—24no—
1130D12—41no—
1131D12—41no—
1132D12—64no—
1133D12—64no—
1134D12—64no—
1135D12—64no—
1136D12—64no—
1137D12—64no—
1138D12—124no—
1139D12—121no—
1140D12—121no—
1141D12—122no—
1142D12—122no—
1143D12—241no—
1144C4×D3—24no—
1145C4×D3—24no—
1146C4×D3—22no—
1147C4×D3—22no—
1148C4×D3—41no—
1149C4×D3—41no—
1150C4×D3—64no—
1151C4×D3—64no—
1152C4×D3—64no—
1153C4×D3—64no—
1154C4×D3—64no—
1155C4×D3—64no—
1156C4×D3—64no—
1157C4×D3—124no—
1158C4×D3—122no—
1159C2×C32—22no—
1160C2×C32—42no—
1161C2×C32C23×D411yescharacteristic
1162C2×C32C2×H(5,𝔽2)11yescharacteristic
1163C2×C32C2×H(5,𝔽2)11yescharacteristic
1164C3⋊D3—24no—
1165C3⋊D3—42no—
1166C3×D3—24no—
1167C3×D3—22no—
1168C3×D3—42no—
1169C3×D3—42no—
1170C3×D3#53414yescomplemented
1171C24—31no—
1172C24—31no—
1173C24—32no—
1174C24—32no—
1175C24—92no—
1176C24—92no—
1177C24—98no—
1178C24—92no—
1179C24—92no—
1180C24—92no—
1181C24—91no—
1182C24—92no—
1183C24—188no—
1184C24—362no—
1185C24—362no—
1186C24—364no—
1187C24—364no—
1188C2×D4—32no—
1189C2×D4—32no—
1190C2×D4—32no—
1191C2×D4—32no—
1192C2×D4—32no—
1193C2×D4—32no—
1194C2×D4—32no—
1195C2×D4—32no—
1196C2×D4—31no—
1197C2×D4—31no—
1198C2×D4—68no—
1199C2×D4—68no—
1200C2×D4—92no—
1201C2×D4—92no—
1202C2×D4—92no—
1203C2×D4—92no—
1204C2×D4—92no—
1205C2×D4—92no—
1206C2×D4—92no—
1207C2×D4—92no—
1208C2×D4—92no—
1209C2×D4—92no—
1210C2×D4—92no—
1211C2×D4—92no—
1212C2×D4—92no—
1213C2×D4—91no—
1214C2×D4—122no—
1215C2×D4—188no—
1216C2×D4—188no—
1217C2×D4—188no—
1218C2×D4—188no—
1219C2×D4—188no—
1220C2×D4—188no—
1221C2×D4—188no—
1222C2×D4—188no—
1223C2×D4—188no—
1224C2×D4—188no—
1225C2×D4—362no—
1226C2×D4—364no—
1227C2×D4C2×D3212yescomplemented
1228C2×D4C2×D3211yescharacteristic, complemented
1229C22×C4—31no—
1230C22×C4—31no—
1231C22×C4—31no—
1232C22×C4—32no—
1233C22×C4—31no—
1234C22×C4—32no—
1235C22×C4—31no—
1236C22×C4—31no—
1237C22×C4—92no—
1238C22×C4—92no—
1239C22×C4—92no—
1240C22×C4—92no—
1241C22×C4—92no—
1242C22×C4—91no—
1243C22×C4—92no—
1244C22×C4—122no—
1245C22×C4—188no—
1246C22×C4—362no—
1247C22×C4C2×D3211yescharacteristic, complemented
1248C4⋊C4—32no—
1249C4⋊C4—31no—
1250C4⋊C4—32no—
1251C4⋊C4—31no—
1252C4⋊C4—92no—
1253C4⋊C4—92no—
1254C4⋊C4—92no—
1255C4⋊C4—92no—
1256C4⋊C4—91no—
1257C4⋊C4C2×D3211yescharacteristic, complemented
1258C22⋊C4—32no—
1259C22⋊C4—32no—
1260C22⋊C4—32no—
1261C22⋊C4—32no—
1262C22⋊C4—32no—
1263C22⋊C4—32no—
1264C22⋊C4—32no—
1265C22⋊C4—32no—
1266C22⋊C4—92no—
1267C22⋊C4—92no—
1268C22⋊C4—92no—
1269C22⋊C4—92no—
1270C22⋊C4—92no—
1271C22⋊C4—92no—
1272C22⋊C4—92no—
1273C22⋊C4—92no—
1274C22⋊C4—92no—
1275C22⋊C4—92no—
1276C22⋊C4—92no—
1277C22⋊C4—92no—
1278C22⋊C4—92no—
1279C22⋊C4—92no—
1280C22⋊C4—92no—
1281C22⋊C4C2×D3212yescomplemented
1282C22×C3—21no—
1283C22×C3—21no—
1284C22×C3—21no—
1285C22×C3—21no—
1286C22×C3—22no—
1287C22×C3—22no—
1288C22×C3—22no—
1289C22×C3—22no—
1290C22×C3—22no—
1291C22×C3—22no—
1292C22×C3—22no—
1293C22×C3—21no—
1294C22×C3—32no—
1295C22×C3—32no—
1296C22×C3—32no—
1297C22×C3—34no—
1298C22×C3—32no—
1299C22×C3—41no—
1300C22×C3—41no—
1301C22×C3—42no—
1302C22×C3—42no—
1303C22×C3—42no—
1304C22×C3—68no—
1305C22×C3—62no—
1306C22×C3—62no—
1307C22×C3—61no—
1308C22×C3—61no—
1309C22×C3—62no—
1310C22×C3—62no—
1311C22×C3—62no—
1312C22×C3—62no—
1313C22×C3—62no—
1314C22×C3—62no—
1315C22×C3—124no—
1316C22×C3—128no—
1317C22×C3—128no—
1318C22×C3C2×D3×D412yes—
1319C22×C3C2×D3×D412yes—
1320C22×C3C24×D311yescharacteristic
1321C22×C3C24×D311yescharacteristic
1322C2×D3—21no—
1323C2×D3—21no—
1324C2×D3—22no—
1325C2×D3—22no—
1326C2×D3—28no—
1327C2×D3—22no—
1328C2×D3—22no—
1329C2×D3—22no—
1330C2×D3—22no—
1331C2×D3—22no—
1332C2×D3—22no—
1333C2×D3—34no—
1334C2×D3—34no—
1335C2×D3—44no—
1336C2×D3—48no—
1337C2×D3—48no—
1338C2×D3—64no—
1339C2×D3—616no—
1340C2×D3—62no—
1341C2×D3—62no—
1342C2×D3—62no—
1343C2×D3—62no—
1344C2×D3—616no—
1345C2×D3—62no—
1346C2×D3—62no—
1347C2×D3—62no—
1348C2×D3—62no—
1349C2×D3—62no—
1350C2×D3—62no—
1351C2×D3—122no—
1352C2×D3—122no—
1353C2×D3—122no—
1354C2×D3—122no—
1355C2×D3—122no—
1356C2×D3—128no—
1357C2×D3—128no—
1358C2×D3—128no—
1359C2×D3—128no—
1360C2×D3—128no—
1361C2×D3—128no—
1362C2×D3—128no—
1363C2×D3—124no—
1364C2×D3—124no—
1365C2×D3—128no—
1366C2×D3—128no—
1367C2×D3—128no—
1368C2×D3—244no—
1369C2×D3—248no—
1370C2×D3C2×D3×D414yes—
1371C2×D3C2×D3×D412yes—
1372C2×D3C2×D3×D412yes—
1373C2×D3#100412yes—
1374C2×D3#100912yes—
1375C3×C4—22no—
1376C3×C4—22no—
1377C3×C4—21no—
1378C3×C4—21no—
1379C3×C4—21no—
1380C3×C4—21no—
1381C3×C4—42no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—62no—
1385C3×C4—62no—
1386C3×C4—62no—
1387C3×C4—61no—
1388C3×C4—61no—
1389Dic3—22no—
1390Dic3—22no—
1391Dic3—21no—
1392Dic3—21no—
1393Dic3—22no—
1394Dic3—62no—
1395Dic3—62no—
1396Dic3—62no—
1397Dic3—62no—
1398Dic3—122no—
1399Dic3—122no—
1400C32C2×#53411yescharacteristic, complemented, Sylow
1401C23—31no—
1402C23—34no—
1403C23—32no—
1404C23—31no—
1405C23—34no—
1406C23—32no—
1407C23—32no—
1408C23—62no—
1409C23—62no—
1410C23—64no—
1411C23—64no—
1412C23—64no—
1413C23—64no—
1414C23—98no—
1415C23—98no—
1416C23—92no—
1417C23—94no—
1418C23—92no—
1419C23—121no—
1420C23—121no—
1421C23—122no—
1422C23—122no—
1423C23—184no—
1424C23—184no—
1425C23—184no—
1426C23—184no—
1427C23—184no—
1428C23—184no—
1429C23—184no—
1430C23—184no—
1431C23—361no—
1432C23—361no—
1433C23—362no—
1434C23—362no—
1435C23—362no—
1436C23—362no—
1437C23—362no—
1438C23—362no—
1439C23—362no—
1440C23—362no—
1441C23—3616no—
1442C23—3632no—
1443C23C22×D3212yes—
1444C23C22×D3211yescharacteristic
1445D4—24no—
1446D4—41no—
1447D4—64no—
1448D4—64no—
1449D4—64no—
1450D4—64no—
1451D4—64no—
1452D4—64no—
1453D4—121no—
1454D4—121no—
1455D4—122no—
1456D4—122no—
1457D4—184no—
1458D4—184no—
1459D4—184no—
1460D4—184no—
1461D4—184no—
1462D4—184no—
1463D4—184no—
1464D4—184no—
1465D4—184no—
1466D4—361no—
1467D4—362no—
1468D4—362no—
1469D4—362no—
1470D4—362no—
1471C2×C4—32no—
1472C2×C4—31no—
1473C2×C4—32no—
1474C2×C4—32no—
1475C2×C4—31no—
1476C2×C4—41no—
1477C2×C4—62no—
1478C2×C4—62no—
1479C2×C4—64no—
1480C2×C4—64no—
1481C2×C4—92no—
1482C2×C4—92no—
1483C2×C4—121no—
1484C2×C4—121no—
1485C2×C4—121no—
1486C2×C4—121no—
1487C2×C4—184no—
1488C2×C4—184no—
1489C2×C4—184no—
1490C2×C4—184no—
1491C2×C4—184no—
1492C2×C4—362no—
1493C2×C4—361no—
1494C2×C4C22×D3211yescharacteristic
1495C2×C4C22×D3211yescharacteristic
1496C2×C4C22×D3212yes—
1497C2×C3—22no—
1498C2×C3—22no—
1499C2×C3—21no—
1500C2×C3—21no—
1501C2×C3—21no—
1502C2×C3—34no—
1503C2×C3—42no—
1504C2×C3—42no—
1505C2×C3—42no—
1506C2×C3—62no—
1507C2×C3—64no—
1508C2×C3—82no—
1509C2×C3—122no—
1510C2×C3—122no—
1511C2×C3C22×D3×D411yescharacteristic
1512C2×C3C22×D3×D411yescharacteristic
1513C2×C3C2×#100411yescharacteristic
1514C2×C3C2×#100911yescharacteristic
1515C2×C3D3×H(5,𝔽2)11yescharacteristic
1516C2×C3D3×H(5,𝔽2)11yescharacteristic
1517D3—24no—
1518D3—22no—
1519D3—42no—
1520D3—42no—
1521D3—64no—
1522D3—64no—
1523D3—124no—
1524D3—122no—
1525D3—122no—
1526D3—242no—
1527D3#560514yesdirect product factor
1528C22—21no—
1529C22—21no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—32no—
1534C22—32no—
1535C22—32no—
1536C22—34no—
1537C22—32no—
1538C22—68no—
1539C22—61no—
1540C22—62no—
1541C22—61no—
1542C22—62no—
1543C22—62no—
1544C22—62no—
1545C22—62no—
1546C22—62no—
1547C22—62no—
1548C22—62no—
1549C22—94no—
1550C22—124no—
1551C22—128no—
1552C22—128no—
1553C22—1816no—
1554C22—182no—
1555C22—182no—
1556C22—182no—
1557C22—182no—
1558C22—182no—
1559C22—364no—
1560C22—368no—
1561C22—368no—
1562C22—368no—
1563C22—368no—
1564C22—368no—
1565C22D32×D412yes—
1566C22C23×D3211yescharacteristic
1567C4—22no—
1568C4—21no—
1569C4—21no—
1570C4—62no—
1571C4—62no—
1572C4—61no—
1573C4—61no—
1574C4—62no—
1575C4—182no—
1576C4—182no—
1577C3—21no—
1578C3C2×#560511yescharacteristic, complemented
1579C3D3×#53411yescharacteristic, complemented
1580C2—22no—
1581C2—34no—
1582C2—42no—
1583C2—62no—
1584C2—64no—
1585C2—122no—
1586C2—122no—
1587C2—184no—
1588C2—362no—
1589C2C2×D32×D411yescharacteristic
1590C2D3×#100411yescharacteristic
1591C2D3×#100911yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×#121C22
hypercenter#121D32
hypocenterC32C2×#534
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ #121

Complements

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

NH ≅ G/Ntype
1. C2×D32×D4C2semidirect
2. #10596076C2semidirect
3. C3×#5605C2semidirect
4. C3×D3×#121C2semidirect
5. #10595308C2semidirect
6. #10595302C2semidirect
7. D3×#939C2semidirect
8. #10595281C2semidirect
9. D3×#937C2semidirect
10. #10595084C2semidirect
11. #10595072C2semidirect
12. D3×#930C2semidirect
13. C2×D3×(C2×D3)⋊C4C2semidirect
14. #10594611C2semidirect
15. D3×#894C2semidirect
16. #10594264C2semidirect
17. #10594263C2semidirect
18. D3×#883C2semidirect
19. D3×#882C2semidirect
23. C23×D32C22semidirect
24. C2×D4×C3⋊D3C22semidirect
25. C2×C3×D3×D4C22semidirect
26. C2×C3×D3×D4C22semidirect
27. C2×C3×D3×D4C22semidirect
28. C22×C3×C4×D3C22semidirect
29. C2×#3811C22semidirect
30. C2×#3811C22semidirect
32. C2×D3×#67C22semidirect
33. C2×D3×#67C22semidirect
34. C2×D3×#67C22semidirect
35. C2×D3×#67C22semidirect
36. C22×D3×Dic3C22semidirect
38. C2×#3802C22semidirect
40. C2×D3×D12C22semidirect
41. C2×D3×D12C22semidirect
42. C2×C4×D32C22semidirect
43. C32×#121C22semidirect
44. #64148C22semidirect
45. #64146C22semidirect
46. #64139C22semidirect
47. C2×#3752C22semidirect
48. #64103C22semidirect
49. #64092C22semidirect
50. #64091C22semidirect
51. C3×#939C22semidirect
52. C3×#939C22semidirect
53. C3×#938C22semidirect
54. C3×#937C22semidirect
55. C3×#930C22semidirect
56. C3×#930C22semidirect
57. C2×C3×(C2×D3)⋊C4C22semidirect
58. C3×#895C22semidirect
59. C3×#894C22semidirect
60. C3×D3×C4⋊C4C22semidirect
61. C3×#884C22semidirect
62. C3×#883C22semidirect
63. C3×#882C22semidirect
64. C3×D3×C22⋊C4C22semidirect
65. #63983C22semidirect
66. #63983C22semidirect
67. #63981C22semidirect
68. #63981C22semidirect
69. #63980C22semidirect
70. #63978C22semidirect
71. #63978C22semidirect
72. #63977C22semidirect
73. #63976C22semidirect
74. #63975C22semidirect
75. #63971C22semidirect
76. #63970C22semidirect
77. #63969C22semidirect
78. D3×#217C22semidirect
79. C2×#3722C22semidirect
80. C2×(C2×D3)⋊Dic3C22semidirect
81. #63923C22semidirect
82. #63923C22semidirect
83. #63922C22semidirect
84. #63922C22semidirect
85. #63922C22semidirect
86. #63922C22semidirect
87. D3×(C2×D3)⋊C4C22semidirect
88. D3×(C2×D3)⋊C4C22semidirect
89. D3×(C2×D3)⋊C4C22semidirect
90. D3×(C2×D3)⋊C4C22semidirect
91. D3×(C2×D3)⋊C4C22semidirect
92. D3×(C2×D3)⋊C4C22semidirect
93. #63909C22semidirect
94. #63908C22semidirect
95. #63906C22semidirect
96. #63905C22semidirect
97. #63897C22semidirect
98. #63891C22semidirect
99. #63890C22semidirect
100. D3×C4⋊Dic3C22semidirect
101. #63886C22semidirect
102. #63885C22semidirect
103. #63884C22semidirect
104. D3×Dic3⋊C4C22semidirect
105. #63854C22semidirect
106. #63854C22semidirect
107. #63853C22semidirect
108. #63853C22semidirect
109. #63850C22semidirect
136. #5605D3direct (N × H)
139. D3×#121D3semidirect
150. C23×C3⋊D3C23semidirect
154. C23×C3×D3C23semidirect
160. C22×D32D4semidirect
164. C22×D32C23semidirect
165. C22×D32C23semidirect
166. C2×C32×D4C23semidirect
167. C2×C32×D4C23semidirect
168. C22×C32×C4C23semidirect
170. C2×#638C23semidirect
171. C2×#638C23semidirect
172. C22×C3⋊Dic3C23semidirect
175. C2×C4⋊(C3⋊D3)C23semidirect
176. C2×C4×C3⋊D3C23semidirect
178. C2×C3×#67C23semidirect
179. C2×C3×#67C23semidirect
180. C2×C3×#67C23semidirect
181. C2×C3×#67C23semidirect
182. C2×C3×#67C23semidirect
183. C22×C3×Dic3C23semidirect
184. C22×C3×Dic3C23semidirect
189. C2×C3×D12C23semidirect
190. C2×C3×D12C23semidirect
191. C2×C3×D12C23semidirect
196. C2×C3×C4×D3C23semidirect
197. C2×C3×C4×D3C23semidirect
198. C2×C3×C4×D3C23semidirect
209. C2×#626C23semidirect
210. C2×#626C23semidirect
211. C2×#626C23semidirect
213. C2×#625C23semidirect
214. C2×#625C23semidirect
215. C2×#624C23semidirect
219. C2×D3×Dic3C23semidirect
220. C2×D3×Dic3C23semidirect
226. C32×C4⋊C4C23semidirect
227. C32×C22⋊C4C23semidirect
228. #3757C23semidirect
229. #3752C23semidirect
230. #3752C23semidirect
231. #3752C23semidirect
232. #3752C23semidirect
233. C4⋊(C3⋊Dic3)C23semidirect
234. #3750C23semidirect
235. C3×#217C23semidirect
236. C3×#217C23semidirect
237. C3×(C2×D3)⋊C4C23semidirect
238. C3×(C2×D3)⋊C4C23semidirect
239. C3×(C2×D3)⋊C4C23semidirect
240. C3×(C2×D3)⋊C4C23semidirect
241. C3×(C2×D3)⋊C4C23semidirect
242. C3×(C2×D3)⋊C4C23semidirect
243. C3×C4⋊Dic3C23semidirect
244. C3×C4⋊Dic3C23semidirect
245. C3×Dic3⋊C4C23semidirect
246. C3×Dic3⋊C4C23semidirect
247. #3724C23semidirect
248. Dic3⋊Dic3C23semidirect
249. Dic3⋊Dic3C23semidirect
250. #3722C23semidirect
251. #3722C23semidirect
252. #3722C23semidirect
253. #3722C23semidirect
254. (C2×D3)⋊Dic3C23semidirect
255. (C2×D3)⋊Dic3C23semidirect
256. (C2×D3)⋊Dic3C23semidirect
257. (C2×D3)⋊Dic3C23semidirect
258. (C2×D3)⋊Dic3C23semidirect
259. (C2×D3)⋊Dic3C23semidirect
294. C2×D3×D4C2×D3semidirect
295. C2×D3×D4C2×D3semidirect
296. C2×D3×D4C2×D3semidirect
303. C22×C4×D3C2×D3semidirect
314. C3×#121C2×D3semidirect
315. C3×#121C2×D3semidirect
336. #939C2×D3semidirect
337. #939C2×D3semidirect
340. #938C2×D3semidirect
355. #937C2×D3semidirect
366. #930C2×D3semidirect
367. #930C2×D3semidirect
382. C2×(C2×D3)⋊C4C2×D3semidirect
387. #895C2×D3semidirect
400. #894C2×D3semidirect
403. D3×C4⋊C4C2×D3semidirect
409. #884C2×D3semidirect
422. #883C2×D3semidirect
437. #882C2×D3semidirect
445. D3×C22⋊C4C2×D3semidirect
453. C22×C3⋊D3C2×D4semidirect
467. C22×C3×D3C2×D4semidirect
489. C2×D32C2×D4semidirect
596. C23×D3C22×D3semidirect
612. C2×C3×D4C22×D3semidirect
613. C2×C3×D4C22×D3semidirect
614. C2×C3×D4C22×D3semidirect
615. C2×C3×D4C22×D3semidirect
626. C22×C3×C4C22×D3semidirect
627. C22×C3×C4C22×D3semidirect
655. C2×#67C22×D3semidirect
656. C2×#67C22×D3semidirect
657. C2×#67C22×D3semidirect
658. C2×#67C22×D3semidirect
659. C2×#67C22×D3semidirect
668. C22×Dic3C22×D3semidirect
669. C22×Dic3C22×D3semidirect
706. C2×D12C22×D3semidirect
707. C2×D12C22×D3semidirect
708. C2×D12C22×D3semidirect
725. C2×C4×D3C22×D3semidirect
726. C2×C4×D3C22×D3semidirect
727. C2×C4×D3C22×D3semidirect
733. C3×C4⋊C4C22×D3semidirect
734. C3×C4⋊C4C22×D3semidirect
744. C3×C22⋊C4C22×D3semidirect
745. C3×C22⋊C4C22×D3semidirect
755. #217C22×D3semidirect
756. #217C22×D3semidirect
783. (C2×D3)⋊C4C22×D3semidirect
784. (C2×D3)⋊C4C22×D3semidirect
785. (C2×D3)⋊C4C22×D3semidirect
786. (C2×D3)⋊C4C22×D3semidirect
787. (C2×D3)⋊C4C22×D3semidirect
788. (C2×D3)⋊C4C22×D3semidirect
794. C4⋊Dic3C22×D3semidirect
795. C4⋊Dic3C22×D3semidirect
803. Dic3⋊C4C22×D3semidirect
804. Dic3⋊C4C22×D3semidirect
910. #121D32semidirect
1034. C22×D3D3×D4semidirect
1170. C3×D3#534semidirect
1227. C2×D4C2×D32semidirect
1228. C2×D4C2×D32semidirect
1247. C22×C4C2×D32semidirect
1257. C4⋊C4C2×D32semidirect
1281. C22⋊C4C2×D32semidirect
1400. C32C2×#534semidirect
1527. D3#5605direct (N × H)
1578. C3C2×#5605semidirect
1579. C3D3×#534semidirect

Maximal subgroups

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

subgroupindex
C2×D32×D42
#105960762
C3×#56052
C3×D3×#1212
#105953082
#105953022
D3×#9392
#105952812
D3×#9372
#105950842
#105950722
D3×#9302
C2×D3×(C2×D3)⋊C42
#105946112
D3×#8942
#105942642
#105942632
D3×#8832
D3×#8822
D3×#5343
C2×#56053