Finite Group Databasebeta

← D3×#5629 #11901144

Subgroups — D3×#5629 #11901144

Order 1152.

3427 conjugacy classes of subgroups.

The subgroup lattice has 1718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#239C211yesmaximal, characteristic, complemented
2C2×D3×#235C211yesmaximal, characteristic, complemented
3#10596100C211yesmaximal, characteristic, complemented
4C3×#5629C211yesmaximal, characteristic, complemented
5C3×D3×C22⋊Q8C211yesmaximal, characteristic, complemented
6D3×#946C211yesmaximal, characteristic, complemented
7#10595404C211yesmaximal, characteristic, complemented
8#10595398C211yesmaximal, characteristic, complemented
9D3×#930C211yesmaximal, characteristic, complemented
10#10594923C211yesmaximal, characteristic, complemented
11#10594894C211yesmaximal, characteristic, complemented
12D3×#896C212yesmaximal, complemented
13D3×#895C211yesmaximal, characteristic, complemented
14D3×#895C212yesmaximal, complemented
15D32×C4⋊C4C211yesmaximal, characteristic, complemented
16#10594528C211yesmaximal, characteristic, complemented
17#10594523C211yesmaximal, characteristic, complemented
18#10594519C212yesmaximal, complemented
19#10594368C212yesmaximal, complemented
20D3×#884C212yesmaximal, complemented
21D3×#884C212yesmaximal, complemented
22#10594069C212yesmaximal, complemented
23#10594059C212yesmaximal, complemented
24D3×#537—31nomaximal
25C2×#5629—31nomaximal
26C2×#3832C2211yescharacteristic, complemented
27C2×#3828C2211yescharacteristic, complemented
28C2×C3×#239C2211yescharacteristic, complemented
29C2×C3×D3×Q8C2211yescharacteristic
30C2×C3×#235C2211yescharacteristic, complemented
31C22×C3×C4×D3C2211yescharacteristic
32C2×D3×#67C2211yescharacteristic
33C2×D3×#67C2211yescharacteristic
34C2×D3×#67C2212yes—
35C2×#3804C2211yescharacteristic, complemented
36C2×#3804C2211yescharacteristic, complemented
37D3×#239—28no—
38D3×#235—28no—
39C2×D3×D12C2211yescharacteristic
40C2×D3×D12C2212yes—
41C2×D3×D12C2211yescharacteristic
42C2×D3×D12C2212yes—
43C2×C4×D32C2211yescharacteristic
44C2×C4×D32C2212yes—
45C2×C4×D32C2212yes—
46C2×C4×D32C2211yescharacteristic
47C2×#3799C2212yescomplemented
48C2×#3799C2211yescharacteristic, complemented
49C2×#3799C2211yescharacteristic, complemented
50C2×#3798C2211yescharacteristic, complemented
51C2×#3798C2211yescharacteristic, complemented
52C2×#3796C2212yescomplemented
53C2×#3796C2211yescharacteristic, complemented
54C2×#3795C2211yescharacteristic, complemented
55C2×D3×Dic6C2211yescharacteristic
56C32×C22⋊Q8C2211yescharacteristic, complemented
57#64155C2211yescharacteristic, complemented
58#64139C2211yescharacteristic, complemented
59#64105C2212yescomplemented
60#64104C2212yescomplemented
61#64104C2211yescharacteristic, complemented
62C4⋊C4×C3⋊D3C2211yescharacteristic, complemented
63#64093C2212yescomplemented
64#64093C2212yescomplemented
65C3×#946C2211yescharacteristic, complemented
66C3×#946C2211yescharacteristic, complemented
67C3×#930C2211yescharacteristic, complemented
68C3×#924C2211yescharacteristic, complemented
69C3×#897C2211yescharacteristic, complemented
70C3×#896C2212yescomplemented
71C3×#896C2212yescomplemented
72C3×#895C2212yescomplemented
73C3×#895C2211yescharacteristic, complemented
74C3×D3×C4⋊C4C2211yescharacteristic
75C3×D3×C4⋊C4C2212yes—
76C3×D3×C4⋊C4C2211yescharacteristic, complemented
77C3×#884C2212yescomplemented
78C3×#884C2212yescomplemented
79C3×D3×C22⋊C4C2212yes—
80C3×#878C2212yescomplemented
81#63978C2212yescomplemented
82#63971C2212yescomplemented
83#63971C2212yescomplemented
84#63958C2212yescomplemented
85#63958C2212yescomplemented
86D3×(C2×D3)⋊C4C2212yes—
87D3×(C2×D3)⋊C4C2212yes—
88D3×(C2×D3)⋊C4C2212yes—
89#63916C2212yescomplemented
90#63916C2211yescharacteristic, complemented
91#63912C2212yescomplemented
92#63912C2212yescomplemented
93#63910C2212yescomplemented
94#63910C2212yescomplemented
95#63910C2212yescomplemented
96#63910C2212yescomplemented
97#63910C2212yescomplemented
98#63909C2212yescomplemented
99#63909C2211yescharacteristic, complemented
100#63909C2211yescharacteristic, complemented
101#63908C2211yescharacteristic, complemented
102#63906C2212yescomplemented
103#63906C2212yescomplemented
104#63906C2212yescomplemented
105#63900C2211yescharacteristic, complemented
106#63899C2212yescomplemented
107#63896C2212yescomplemented
108#63895C2212yescomplemented
109D3×C4⋊Dic3C2211yescharacteristic
110D3×C4⋊Dic3C2211yescharacteristic, complemented
111#63888C2212yescomplemented
112#63888C2212yescomplemented
113#63887C2212yescomplemented
114#63886C2212yescomplemented
115#63886C2212yescomplemented
116#63886C2212yescomplemented
117#63885C2212yescomplemented
118#63885C2212yescomplemented
119#63883C2212yescomplemented
120D3×Dic3⋊C4C2212yes—
121D3×Dic3⋊C4C2212yes—
122D3×Dic3⋊C4C2212yescomplemented
123#63871C2211yescharacteristic, complemented
124#63865C2212yescomplemented
125#63856C2211yescharacteristic, complemented
126#63851C2212yescomplemented
127C2×D3×#41—31no—
128C2×D3×#41—31no—
129C22×#239—31no—
130C22×#235—31no—
131C3×#537—31no—
132C2×C3×C22⋊Q8—31no—
133#5833—31no—
134#5833—31no—
135C2×#946—31no—
136C2×#930—31no—
137#5629—31no—
138#5629—31no—
139#5629—31no—
140#5629—31no—
141#5629—31no—
142#5629—31no—
143#5629—31no—
144#5629—32no—
145#5629—32no—
146#5629—32no—
147#5629—31no—
148#5629—31no—
149#5629—32no—
150#5629—32no—
151#5629—61no—
152#5629D311yescharacteristic, direct product factor
153D3×C22⋊Q8—31no—
154D3×C22⋊Q8—32no—
155D3×C22⋊Q8D311yescharacteristic, complemented
156#5608—31no—
157#5608—31no—
158#5608—32no—
159D3×#121—31no—
160D3×#121—31no—
161D3×#121—32no—
162D3×#121—32no—
163D3×#121—32no—
164#5597—32no—
165#5597—32no—
166#5510—31no—
167C2×#896—32no—
168C2×#895—31no—
169C2×#895—32no—
170C2×D3×C4⋊C4—31no—
171C2×D3×C4⋊C4—31no—
172C2×#884—32no—
173C2×#884—32no—
174C23×C3×D3C2311yescharacteristic
175C22×D32C2312yes—
176C22×D32C2311yescharacteristic
177C22×D32C2311yescharacteristic
178C2×C32×Q8C2311yescharacteristic
179C22×C32×C4C2311yescharacteristic
180C2×#638C2311yescharacteristic
181C2×#638C2311yescharacteristic
182C2×#638C2312yes—
183#3832—24no—
184#3828—24no—
185C2×C4⋊(C3⋊D3)C2312yes—
186C2×C4⋊(C3⋊D3)C2311yescharacteristic
187C2×C4⋊(C3⋊D3)C2311yescharacteristic
188C2×C4⋊(C3⋊D3)C2312yes—
189C2×C4×C3⋊D3C2312yes—
190C2×C4×C3⋊D3C2311yescharacteristic
191C2×C4×C3⋊D3C2312yes—
192C2×C4×C3⋊D3C2311yescharacteristic
193C2×#634C2311yescharacteristic
194C2×C3×#67C2311yescharacteristic
195C2×C3×#67C2311yescharacteristic
196C2×C3×#67C2312yes—
197C22×C3×Dic3C2311yescharacteristic
198C3×#239—24no—
199C3×D3×Q8—24no—
200C3×#235—24no—
201C2×C3×D12C2312yes—
202C2×C3×D12C2311yescharacteristic
203C2×C3×D12C2311yescharacteristic
204C2×C3×D12C2312yes—
205C2×C3×C4×D3—24no—
206C2×C3×C4×D3C2312yes—
207C2×C3×C4×D3C2312yes—
208C2×C3×C4×D3C2312yes—
209C2×C3×C4×D3C2311yescharacteristic
210C2×C3×C4×D3C2311yescharacteristic
211C2×C3×C4×D3C2311yescharacteristic
212C2×C3×C4×D3C2311yescharacteristic
213C2×C3×C4×D3C2312yes—
214C2×C3×C4×D3C2311yescharacteristic
215C2×C3×C4×D3C2311yescharacteristic
216C2×C3×Dic6C2312yes—
217C2×C3×Dic6C2311yescharacteristic
218C2×C3×Dic6C2311yescharacteristic
219D3×#67—24no—
220D3×#67—24no—
221D3×#67—44no—
222C2×#627C2311yescharacteristic
223C2×#627C2311yescharacteristic
224C2×#626C2312yes—
225C2×#626C2312yes—
226C2×#626C2312yes—
227C2×#626C2311yescharacteristic
228C2×#626C2311yescharacteristic
229C2×#626C2311yescharacteristic
230C2×#626C2311yescharacteristic
231C2×#626C2312yes—
232C2×#626C2312yes—
233C2×#626C2312yes—
234C2×#625C2311yescharacteristic
235C2×#625C2311yescharacteristic
236C2×#625C2312yes—
237C2×#624C2312yes—
238C2×#624C2311yescharacteristic
239C2×#624C2312yes—
240C2×#624C2311yescharacteristic
241#3804—24no—
242#3804—24no—
243C2×D3×Dic3C2311yescharacteristic
244C2×D3×Dic3C2311yescharacteristic
245C2×D3×Dic3C2312yes—
246C2×D3×Dic3C2312yes—
247C2×D3×Dic3C2312yes—
248C2×D3×Dic3C2311yescharacteristic
249C2×D3×Dic3C2311yescharacteristic
250D3×D12—24no—
251D3×D12—28no—
252D3×D12—24no—
253D3×D12—44no—
254C4×D32—24no—
255C4×D32—28no—
256C4×D32—44no—
257C4×D32D418yescomplemented
258#3799—24no—
259#3799—24no—
260#3799—28no—
261#3798—24no—
262#3798—24no—
263#3796—24no—
264#3796—28no—
265#3795—24no—
266D3×Dic6—24no—
267C32×C4⋊C4C2311yescharacteristic
268C32×C4⋊C4C2312yes—
269C32×C22⋊C4C2312yes—
270#3752C2312yes—
271#3752C2312yes—
272#3752C2312yes—
273C4⋊(C3⋊Dic3)C2311yescharacteristic
274#3750C2312yes—
275#3750C2312yes—
276C3×#217C2312yes—
277C3×(C2×D3)⋊C4C2312yes—
278C3×(C2×D3)⋊C4C2312yes—
279C3×(C2×D3)⋊C4C2312yes—
280C3×(C2×D3)⋊C4C2312yes—
281C3×(C2×D3)⋊C4C2312yes—
282C3×C4⋊Dic3C2312yes—
283C3×C4⋊Dic3C2311yescharacteristic
284C3×C4⋊Dic3C2311yescharacteristic
285C3×Dic3⋊C4C2312yes—
286C3×Dic3⋊C4C2312yes—
287C3×Dic3⋊C4C2312yes—
288C3×Dic3⋊C4C2312yes—
289C3×Dic3⋊C4C2312yes—
290#3724C2312yes—
291#3724C2312yes—
292Dic3⋊Dic3C2312yes—
293Dic3⋊Dic3C2312yes—
294Dic3⋊Dic3C2312yes—
295#3722C2312yes—
296#3722C2312yes—
297#3722C2312yes—
298(C2×D3)⋊Dic3C2312yes—
299(C2×D3)⋊Dic3C2312yes—
300(C2×D3)⋊Dic3C2312yes—
301C2×#537—91noSylow
302C2×C3×#41—31no—
303C2×C3×#41—31no—
304C22×C3×Q8—31no—
305C23×C3×C4—31no—
306C22×#67—31no—
307C22×#67—31no—
308C22×#67—32no—
309D3×#41—68no—
310D3×#41—68no—
311C2×#239—31no—
312C2×#239—31no—
313C2×#239—32no—
314C2×#239—31no—
315C2×#239—32no—
316C2×#239—31no—
317C2×#239—31no—
318C2×#239—61no—
319C2×#239—68no—
320C2×#239C2×D311yescharacteristic, complemented
321C2×D3×Q8—31no—
322C2×D3×Q8C2×D311yescharacteristic
323C2×#237—31no—
324C2×#237—31no—
325C2×#237—31no—
326C2×#237—32no—
327C2×#237—31no—
328C2×D3×D4—31no—
329C2×D3×D4—31no—
330C2×D3×D4—32no—
331C2×D3×D4—31no—
332C2×D3×D4—32no—
333C2×D3×D4—31no—
334C2×D3×D4—32no—
335C2×#235—31no—
336C2×#235—31no—
337C2×#235—31no—
338C2×#235—31no—
339C2×#235—31no—
340C2×#235—31no—
341C2×#235—31no—
342C2×#235—31no—
343C2×#235—31no—
344C2×#235—31no—
345C2×#235—31no—
346C2×#235—32no—
347C2×#235—61no—
348C2×#235—68no—
349C2×#235C2×D311yescharacteristic, complemented
350C22×D12—31no—
351C22×D12—32no—
352C22×D12—31no—
353C22×D12—32no—
354C22×C4×D3—31no—
355C22×C4×D3—31no—
356C22×C4×D3—31no—
357C22×C4×D3—32no—
358C22×C4×D3—32no—
359C22×C4×D3—31no—
360C22×C4×D3—32no—
361C22×C4×D3—32no—
362C22×C4×D3C2×D311yescharacteristic
363C22×Dic6—31no—
364C3×C22⋊Q8—21no—
365C3×C22⋊Q8—31no—
366C3×C22⋊Q8—31no—
367C3×C22⋊Q8—31no—
368C3×C22⋊Q8—32no—
369C3×C22⋊Q8—32no—
370C3×C22⋊Q8—31no—
371C3×C22⋊Q8—32no—
372C3×C22⋊Q8C2×D311yescharacteristic, complemented
373C3×C22⋊Q8C2×D311yescharacteristic, complemented
374C3×#121—31no—
375C3×#121—32no—
376C3×#121—31no—
377C3×#121—32no—
378C3×#121—32no—
379C2×C3×C4⋊C4—31no—
380C2×C3×C4⋊C4—32no—
381C2×C3×C4⋊C4—31no—
382C2×C3×C22⋊C4—32no—
383#946—31no—
384#946—31no—
385#946—31no—
386#946—32no—
387#946—31no—
388#946—32no—
389#946—32no—
390#946—61no—
391#946C2×D311yescharacteristic, complemented
392#946C2×D311yescharacteristic, complemented
393#939—32no—
394#939—32no—
395#939—32no—
396#939—32no—
397#939—32no—
398#939—32no—
399#939—32no—
400#939—32no—
401#938—31no—
402#938—32no—
403#938—32no—
404#938—31no—
405#938—32no—
406#930—31no—
407#930—31no—
408#930—32no—
409#930—31no—
410#930—32no—
411#930—32no—
412#930—32no—
413#930—32no—
414#930—31no—
415#930—31no—
416#930—61no—
417#930C2×D311yescharacteristic, complemented
418C2×(C2×D3)⋊C4—32no—
419C2×(C2×D3)⋊C4—32no—
420C2×(C2×D3)⋊C4—32no—
421C2×C4⋊Dic3—31no—
422C2×C4⋊Dic3—31no—
423#924—31no—
424#924—32no—
425#924C2×D311yescharacteristic, complemented
426C2×Dic3⋊C4—32no—
427C2×Dic3⋊C4—32no—
428C2×Dic3⋊C4—32no—
429#897—31no—
430#897—32no—
431#897C2×D311yescharacteristic, complemented
432#896—32no—
433#896—32no—
434#896—32no—
435#896—32no—
436#896—32no—
437#896—32no—
438#896—32no—
439#896—32no—
440#896—32no—
441#896—32no—
442#896—62no—
443#896C2×D312yescomplemented
444#896C2×D312yescomplemented
445#895—32no—
446#895—32no—
447#895—32no—
448#895—31no—
449#895—32no—
450#895—31no—
451#895—32no—
452#895—31no—
453#895—31no—
454#895—32no—
455#895—31no—
456#895—32no—
457#895—32no—
458#895—32no—
459#895—32no—
460#895—32no—
461#895—32no—
462#895—61no—
463#895—62no—
464#895C2×D311yescharacteristic, complemented
465#895C2×D312yescomplemented
466D3×C4⋊C4—32no—
467D3×C4⋊C4—32no—
468D3×C4⋊C4—31no—
469D3×C4⋊C4—31no—
470D3×C4⋊C4—32no—
471D3×C4⋊C4—31no—
472D3×C4⋊C4—31no—
473D3×C4⋊C4—31no—
474D3×C4⋊C4—31no—
475D3×C4⋊C4—32no—
476D3×C4⋊C4—32no—
477D3×C4⋊C4—61no—
478D3×C4⋊C4C2×D311yescharacteristic
479D3×C4⋊C4C2×D312yes—
480D3×C4⋊C4C2×D311yescharacteristic, complemented
481#884—32no—
482#884—32no—
483#884—32no—
484#884—32no—
485#884—32no—
486#884—32no—
487#884—32no—
488#884—32no—
489#884—32no—
490#884—32no—
491#884—32no—
492#884—32no—
493#884—32no—
494#884—32no—
495#884—32no—
496#884—32no—
497#884—32no—
498#884—32no—
499#884—32no—
500#884—32no—
501#884—32no—
502#884—32no—
503#884—62no—
504#884—62no—
505#884C2×D312yescomplemented
506#884C2×D312yescomplemented
507D3×C22⋊C4—32no—
508D3×C22⋊C4—32no—
509D3×C22⋊C4—32no—
510D3×C22⋊C4C2×D312yes—
511#878—32no—
512#878—32no—
513#878—32no—
514#878C2×D312yescomplemented
515C23×C32C2411yescharacteristic
516C22×C3⋊D3C2412yes—
517C22×C3⋊D3C2411yescharacteristic
518C22×C3⋊D3C2411yescharacteristic
519C22×C3×D3—22no—
520C22×C3×D3—22no—
521C22×C3×D3—22no—
522C22×C3×D3C2411yescharacteristic
523C22×C3×D3C2412yes—
524C22×C3×D3C2411yescharacteristic
525C22×C3×D3C2411yescharacteristic
526C22×C3×D3C2411yescharacteristic
527C2×D32—22no—
528C2×D32—22no—
529C2×D32—24no—
530C2×D32—22no—
531C2×D32—22no—
532C2×D32—24no—
533C2×D32—24no—
534C2×D32—22no—
535C2×D32C2×D414yes—
536C32×Q8—22no—
537C2×C32×C4—22no—
538C2×C32×C4C2412yes—
539C2×C32×C4C2412yes—
540C2×C32×C4C2411yescharacteristic
541C2×C32×C4C2411yescharacteristic
542#638—22no—
543#638—22no—
544#638—42no—
545C2×C3⋊Dic3C2412yes—
546C2×C3⋊Dic3C2411yescharacteristic
547C2×C3⋊Dic3C2411yescharacteristic
548C4⋊(C3⋊D3)—22no—
549C4⋊(C3⋊D3)—24no—
550C4⋊(C3⋊D3)—22no—
551C4⋊(C3⋊D3)—42no—
552C4×C3⋊D3—22no—
553C4×C3⋊D3—24no—
554C4×C3⋊D3—42no—
555C4×C3⋊D3C2×D414yescomplemented
556#634—22no—
557C3×#67—22no—
558C3×#67—22no—
559C3×#67—42no—
560C2×C3×Dic3—22no—
561C2×C3×Dic3C2411yescharacteristic
562C2×C3×Dic3C2412yes—
563C2×C3×Dic3C2412yes—
564C2×C3×Dic3C2412yes—
565C2×C3×Dic3C2411yescharacteristic
566C2×C3×Dic3C2411yescharacteristic
567C2×C3×Dic3C2411yescharacteristic
568C3×D12—22no—
569C3×D12—24no—
570C3×D12—22no—
571C3×D12—42no—
572C3×C4×D3—22no—
573C3×C4×D3—24no—
574C3×C4×D3—24no—
575C3×C4×D3—22no—
576C3×C4×D3—22no—
577C3×C4×D3—22no—
578C3×C4×D3—24no—
579C3×C4×D3—42no—
580C3×C4×D3C2×D414yes—
581C3×C4×D3C2×D414yescomplemented
582C3×Dic6—22no—
583C3×Dic6—22no—
584C3×Dic6—24no—
585#627—22no—
586#627—22no—
587#626—24no—
588#626—22no—
589#626—22no—
590#626—24no—
591#626—22no—
592#626—24no—
593#626—22no—
594#626—42no—
595#626—42no—
596#626—42no—
597#625—22no—
598#625—22no—
599#625—42no—
600#624—24no—
601#624—22no—
602#624—42no—
603#624C2×D414yescomplemented
604D3×Dic3—22no—
605D3×Dic3—24no—
606D3×Dic3—24no—
607D3×Dic3—22no—
608D3×Dic3—42no—
609D3×Dic3C2×D414yes—
610D3×Dic3C2×D414yescomplemented
611C22×#41—91no—
612C22×#41—91no—
613#537—31no—
614#537—91no—
615#537—92no—
616#537—92no—
617#537—91no—
618#537—92no—
619#537—91no—
620#537—91no—
621#537—92no—
622#537—91no—
623#537—91no—
624#537—91no—
625C2×C22⋊Q8—31no—
626C2×C22⋊Q8—92no—
627C2×C22⋊Q8—91no—
628C2×#121—92no—
629C2×#121—92no—
630C2×#121—91no—
631C2×#121—92no—
632C2×#121—91no—
633C22×C4⋊C4—91no—
634C24×C3—31no—
635C23×D3—31no—
636C23×D3—31no—
637C23×D3—31no—
638C23×D3—32no—
639C23×D3—32no—
640C23×D3—31no—
641C23×D3C22×D311yescharacteristic
642C3×#41—64no—
643C3×#41—64no—
644C2×C3×Q8—21no—
645C2×C3×Q8—31no—
646C2×C3×Q8—32no—
647C2×C3×Q8—31no—
648C2×C3×Q8—64no—
649C2×C3×Q8C22×D311yescharacteristic
650C2×C3×Q8C22×D311yescharacteristic
651C2×C3×D4—31no—
652C2×C3×D4—31no—
653C2×C3×D4—32no—
654C2×C3×D4—31no—
655C2×C3×D4—32no—
656C2×C3×D4—31no—
657C2×C3×D4—32no—
658C22×C3×C4—21no—
659C22×C3×C4—31no—
660C22×C3×C4—31no—
661C22×C3×C4—31no—
662C22×C3×C4—32no—
663C22×C3×C4—32no—
664C22×C3×C4—32no—
665C22×C3×C4—31no—
666C22×C3×C4—31no—
667C22×C3×C4—31no—
668C22×C3×C4—31no—
669C22×C3×C4—32no—
670C22×C3×C4—64no—
671C22×C3×C4C22×D311yescharacteristic
672C22×C3×C4C22×D311yescharacteristic
673C2×#67—31no—
674C2×#67—31no—
675C2×#67—31no—
676C2×#67—31no—
677C2×#67—31no—
678C2×#67—31no—
679C2×#67—31no—
680C2×#67—31no—
681C2×#67—32no—
682C2×#67—32no—
683C2×#67—32no—
684C2×#67—32no—
685C2×#67—31no—
686C2×#67—31no—
687C2×#67—32no—
688C2×#67—31no—
689C2×#67—32no—
690C2×#67—32no—
691C2×#67—31no—
692C2×#67—32no—
693C2×#67—32no—
694C2×#67—32no—
695C2×#67—61no—
696C2×#67—61no—
697C2×#67—62no—
698C2×#67—64no—
699C2×#67—64no—
700C2×#67—124no—
701C2×#67C22×D311yescharacteristic
702C2×#67C22×D311yescharacteristic
703C2×#67C22×D312yes—
704C22×Dic3—31no—
705C22×Dic3—31no—
706C22×Dic3—32no—
707C22×Dic3—31no—
708C22×Dic3—32no—
709C22×Dic3—31no—
710C22×Dic3—32no—
711C22×Dic3C22×D311yescharacteristic
712#239—24no—
713#239—68no—
714#239—64no—
715#239—68no—
716#239—64no—
717#239—64no—
718#239—64no—
719#239—64no—
720#239—124no—
721D3×Q8—24no—
722D3×Q8—64no—
723#237—64no—
724#237—68no—
725#237—64no—
726#237—64no—
727#237—64no—
728D3×D4—64no—
729D3×D4—68no—
730D3×D4—64no—
731D3×D4—64no—
732D3×D4—64no—
733D3×D4—124no—
734D3×D4—124no—
735#235—24no—
736#235—64no—
737#235—68no—
738#235—64no—
739#235—64no—
740#235—64no—
741#235—64no—
742#235—64no—
743#235—64no—
744#235—64no—
745#235—64no—
746#235—64no—
747#235—64no—
748#235—124no—
749C2×D12—32no—
750C2×D12—32no—
751C2×D12—31no—
752C2×D12—31no—
753C2×D12—31no—
754C2×D12—32no—
755C2×D12—31no—
756C2×D12—32no—
757C2×D12—32no—
758C2×D12—31no—
759C2×D12—31no—
760C2×D12—31no—
761C2×D12—31no—
762C2×D12—32no—
763C2×D12—32no—
764C2×D12—32no—
765C2×D12—32no—
766C2×D12—32no—
767C2×D12—62no—
768C2×D12—61no—
769C2×D12—61no—
770C2×D12—62no—
771C2×D12—64no—
772C2×D12—64no—
773C2×D12—68no—
774C2×D12—124no—
775C2×D12C22×D312yes—
776C2×D12C22×D311yescharacteristic
777C2×D12C22×D311yescharacteristic
778C2×D12C22×D312yes—
779C2×C4×D3—24no—
780C2×C4×D3—31no—
781C2×C4×D3—31no—
782C2×C4×D3—31no—
783C2×C4×D3—31no—
784C2×C4×D3—31no—
785C2×C4×D3—31no—
786C2×C4×D3—38no—
787C2×C4×D3—38no—
788C2×C4×D3—32no—
789C2×C4×D3—31no—
790C2×C4×D3—32no—
791C2×C4×D3—31no—
792C2×C4×D3—32no—
793C2×C4×D3—32no—
794C2×C4×D3—31no—
795C2×C4×D3—31no—
796C2×C4×D3—31no—
797C2×C4×D3—32no—
798C2×C4×D3—31no—
799C2×C4×D3—32no—
800C2×C4×D3—32no—
801C2×C4×D3—32no—
802C2×C4×D3—32no—
803C2×C4×D3—32no—
804C2×C4×D3—32no—
805C2×C4×D3—61no—
806C2×C4×D3—62no—
807C2×C4×D3—61no—
808C2×C4×D3—62no—
809C2×C4×D3—68no—
810C2×C4×D3—68no—
811C2×C4×D3—64no—
812C2×C4×D3—64no—
813C2×C4×D3—124no—
814C2×C4×D3—124no—
815C2×C4×D3C22×D311yescharacteristic
816C2×C4×D3C22×D312yes—
817C2×C4×D3C22×D312yes—
818C2×C4×D3C22×D311yescharacteristic
819C2×C4×D3C22×D312yes—
820C2×C4×D3C22×D311yescharacteristic
821C2×C4×D3C22×D311yescharacteristic
822C2×C4×D3C22×D312yes—
823C2×C4×D3C22×D311yescharacteristic
824C2×C4×D3C22×D311yescharacteristic
825C2×Dic6—31no—
826C2×Dic6—31no—
827C2×Dic6—31no—
828C2×Dic6—31no—
829C2×Dic6—31no—
830C2×Dic6—31no—
831C2×Dic6—61no—
832C2×Dic6—64no—
833C2×Dic6C22×D312yes—
834C2×Dic6C22×D311yescharacteristic
835C2×Dic6C22×D311yescharacteristic
836C3×C4⋊C4—21no—
837C3×C4⋊C4—22no—
838C3×C4⋊C4—32no—
839C3×C4⋊C4—31no—
840C3×C4⋊C4—32no—
841C3×C4⋊C4—31no—
842C3×C4⋊C4—32no—
843C3×C4⋊C4—32no—
844C3×C4⋊C4—32no—
845C3×C4⋊C4—32no—
846C3×C4⋊C4C22×D311yescharacteristic
847C3×C4⋊C4C22×D311yescharacteristic
848C3×C4⋊C4C22×D312yes—
849C3×C4⋊C4C22×D312yes—
850C3×C22⋊C4—22no—
851C3×C22⋊C4—32no—
852C3×C22⋊C4—32no—
853C3×C22⋊C4—32no—
854C3×C22⋊C4—32no—
855C3×C22⋊C4—32no—
856C3×C22⋊C4—32no—
857C3×C22⋊C4C22×D312yes—
858C3×C22⋊C4C22×D312yes—
859#217—32no—
860#217—32no—
861#217—32no—
862#217C22×D312yes—
863(C2×D3)⋊C4—32no—
864(C2×D3)⋊C4—32no—
865(C2×D3)⋊C4—32no—
866(C2×D3)⋊C4—32no—
867(C2×D3)⋊C4—32no—
868(C2×D3)⋊C4—32no—
869(C2×D3)⋊C4—32no—
870(C2×D3)⋊C4—32no—
871(C2×D3)⋊C4—32no—
872(C2×D3)⋊C4—32no—
873(C2×D3)⋊C4—32no—
874(C2×D3)⋊C4—32no—
875(C2×D3)⋊C4—32no—
876(C2×D3)⋊C4—32no—
877(C2×D3)⋊C4—32no—
878(C2×D3)⋊C4—62no—
879(C2×D3)⋊C4—62no—
880(C2×D3)⋊C4—62no—
881(C2×D3)⋊C4C22×D312yes—
882(C2×D3)⋊C4C22×D312yes—
883(C2×D3)⋊C4C22×D312yes—
884(C2×D3)⋊C4C22×D312yes—
885(C2×D3)⋊C4C22×D312yes—
886C4⋊Dic3—31no—
887C4⋊Dic3—31no—
888C4⋊Dic3—32no—
889C4⋊Dic3—32no—
890C4⋊Dic3—32no—
891C4⋊Dic3—61no—
892C4⋊Dic3C22×D312yes—
893C4⋊Dic3C22×D311yescharacteristic
894C4⋊Dic3C22×D311yescharacteristic
895Dic3⋊C4—32no—
896Dic3⋊C4—32no—
897Dic3⋊C4—32no—
898Dic3⋊C4—32no—
899Dic3⋊C4—32no—
900Dic3⋊C4—32no—
901Dic3⋊C4—32no—
902Dic3⋊C4—32no—
903Dic3⋊C4—32no—
904Dic3⋊C4—32no—
905Dic3⋊C4—32no—
906Dic3⋊C4—62no—
907Dic3⋊C4—62no—
908Dic3⋊C4C22×D312yes—
909Dic3⋊C4C22×D312yes—
910Dic3⋊C4C22×D312yes—
911Dic3⋊C4C22×D312yes—
912Dic3⋊C4C22×D312yes—
913C22×C32—21no—
914C22×C32—21no—
915C22×C32—21no—
916C22×C32C2511yescharacteristic
917C2×C3⋊D3—21no—
918C2×C3⋊D3—21no—
919C2×C3⋊D3—22no—
920C2×C3⋊D3—21no—
921C2×C3⋊D3—21no—
922C2×C3⋊D3—22no—
923C2×C3⋊D3—22no—
924C2×C3⋊D3—21no—
925C2×C3⋊D3C22×D412yes—
926C2×C3×D3—21no—
927C2×C3×D3—21no—
928C2×C3×D3—21no—
929C2×C3×D3—22no—
930C2×C3×D3—21no—
931C2×C3×D3—21no—
932C2×C3×D3—22no—
933C2×C3×D3—21no—
934C2×C3×D3—21no—
935C2×C3×D3—22no—
936C2×C3×D3—21no—
937C2×C3×D3—44no—
938C2×C3×D3C22×D412yes—
939C2×C3×D3C22×D412yes—
940C2×C3×D3H(5,𝔽2)12yes—
941C2×C3×D32−1+412yes—
942D32—28no—
943D32—48no—
944D32—44no—
945C32×C4—21no—
946C32×C4—22no—
947C32×C4—22no—
948C32×C4C22×D412yes—
949C3⋊Dic3—21no—
950C3⋊Dic3—22no—
951C3⋊Dic3C22×D412yes—
952C3×Dic3—22no—
953C3×Dic3—21no—
954C3×Dic3—21no—
955C3×Dic3—22no—
956C3×Dic3—22no—
957C3×Dic3C22×D412yes—
958C3×Dic3C22×D412yes—
959C2×#41—31no—
960C2×#41—31no—
961C2×#41—91no—
962C2×#41—91no—
963C2×#41—91no—
964C2×#41—91no—
965C2×#41—91no—
966C2×#41—91no—
967C2×#41—92no—
968C2×#41—91no—
969C2×#41—92no—
970C2×#41—91no—
971C2×#41—91no—
972C2×#41—91no—
973C2×#41—188no—
974C2×#41—188no—
975C22×Q8—31no—
976C22×Q8—91no—
977C22×D4—91no—
978C22×D4—92no—
979C22×D4—91no—
980C22×D4—92no—
981C22×D4—91no—
982C22×D4—91no—
983C22×D4—92no—
984C23×C4—31no—
985C23×C4—91no—
986C23×C4—91no—
987C23×C4—92no—
988C23×C4—92no—
989C22⋊Q8—31no—
990C22⋊Q8—31no—
991C22⋊Q8—31no—
992C22⋊Q8—32no—
993C22⋊Q8—31no—
994C22⋊Q8—32no—
995C22⋊Q8—32no—
996C22⋊Q8—92no—
997C22⋊Q8—92no—
998C22⋊Q8—92no—
999C22⋊Q8—92no—
1000C22⋊Q8—92no—
1001C22⋊Q8—92no—
1002C22⋊Q8—92no—
1003C22⋊Q8—92no—
1004C22⋊Q8—91no—
1005C22⋊Q8—91no—
1006C22⋊Q8—91no—
1007C22⋊Q8—92no—
1008C22⋊Q8D3211yescharacteristic, complemented
1009#121—31no—
1010#121—31no—
1011#121—32no—
1012#121—32no—
1013#121—32no—
1014#121—92no—
1015#121—92no—
1016#121—92no—
1017#121—92no—
1018#121—92no—
1019#121—92no—
1020#121—92no—
1021#121—92no—
1022#121—92no—
1023#121—92no—
1024#121—92no—
1025#121—92no—
1026#121—92no—
1027#121—92no—
1028#121—92no—
1029#121—92no—
1030#121—91no—
1031#121—91no—
1032#121—92no—
1033#121—91no—
1034#121—92no—
1035#121—92no—
1036#121—92no—
1037#121—92no—
1038#121—91no—
1039#121—92no—
1040#121—91no—
1041#121—91no—
1042#121—92no—
1043#121—92no—
1044#121—92no—
1045C2×C4⋊C4—31no—
1046C2×C4⋊C4—31no—
1047C2×C4⋊C4—32no—
1048C2×C4⋊C4—92no—
1049C2×C4⋊C4—91no—
1050C2×C4⋊C4—92no—
1051C2×C4⋊C4—91no—
1052C2×C4⋊C4—92no—
1053C2×C4⋊C4—91no—
1054C2×C4⋊C4—92no—
1055C2×C4⋊C4—91no—
1056C2×C22⋊C4—32no—
1057C2×C22⋊C4—92no—
1058C2×C22⋊C4—92no—
1059C2×C22⋊C4—92no—
1060C23×C3—21no—
1061C23×C3—31no—
1062C23×C3—31no—
1063C23×C3—31no—
1064C23×C3—32no—
1065C23×C3—31no—
1066C23×C3—62no—
1067C23×C3—62no—
1068C23×C3—62no—
1069C23×C3C23×D311yescharacteristic
1070C23×C3C23×D311yescharacteristic
1071C22×D3—22no—
1072C22×D3—22no—
1073C22×D3—22no—
1074C22×D3—31no—
1075C22×D3—31no—
1076C22×D3—34no—
1077C22×D3—34no—
1078C22×D3—32no—
1079C22×D3—31no—
1080C22×D3—32no—
1081C22×D3—31no—
1082C22×D3—61no—
1083C22×D3—62no—
1084C22×D3—61no—
1085C22×D3—62no—
1086C22×D3—62no—
1087C22×D3—64no—
1088C22×D3—62no—
1089C22×D3—62no—
1090C22×D3—64no—
1091C22×D3—64no—
1092C22×D3—62no—
1093C22×D3—62no—
1094C22×D3—62no—
1095C22×D3—64no—
1096C22×D3—62no—
1097C22×D3—62no—
1098C22×D3—64no—
1099C22×D3—62no—
1100C22×D3—64no—
1101C22×D3C23×D312yes—
1102C22×D3C23×D311yescharacteristic
1103C22×D3C23×D311yescharacteristic
1104C22×D3C23×D311yescharacteristic
1105C22×D3C23×D311yescharacteristic
1106C3×Q8—22no—
1107C3×Q8—22no—
1108C3×Q8—42no—
1109C3×Q8—62no—
1110C3×Q8—64no—
1111C3×Q8—62no—
1112C3×D4—64no—
1113C3×D4—62no—
1114C3×D4—62no—
1115C3×D4—62no—
1116C3×D4—62no—
1117C3×D4—122no—
1118C3×D4—122no—
1119C2×C3×C4—22no—
1120C2×C3×C4—22no—
1121C2×C3×C4—21no—
1122C2×C3×C4—22no—
1123C2×C3×C4—22no—
1124C2×C3×C4—21no—
1125C2×C3×C4—31no—
1126C2×C3×C4—31no—
1127C2×C3×C4—34no—
1128C2×C3×C4—34no—
1129C2×C3×C4—32no—
1130C2×C3×C4—32no—
1131C2×C3×C4—31no—
1132C2×C3×C4—32no—
1133C2×C3×C4—31no—
1134C2×C3×C4—42no—
1135C2×C3×C4—64no—
1136C2×C3×C4—62no—
1137C2×C3×C4—62no—
1138C2×C3×C4—64no—
1139C2×C3×C4—64no—
1140C2×C3×C4—62no—
1141C2×C3×C4—62no—
1142C2×C3×C4—62no—
1143C2×C3×C4—122no—
1144C2×C3×C4C23×D312yes—
1145C2×C3×C4C23×D312yes—
1146C2×C3×C4C23×D312yes—
1147C2×C3×C4C23×D312yes—
1148C2×C3×C4C23×D311yescharacteristic
1149C2×C3×C4C23×D311yescharacteristic
1150C2×C3×C4C23×D311yescharacteristic
1151C2×C3×C4C23×D311yescharacteristic
1152#67—22no—
1153#67—22no—
1154#67—42no—
1155#67—62no—
1156#67—64no—
1157#67—62no—
1158#67—64no—
1159#67—62no—
1160#67—62no—
1161#67—62no—
1162#67—62no—
1163#67—62no—
1164#67—62no—
1165#67—62no—
1166#67—62no—
1167#67—62no—
1168#67—62no—
1169#67—64no—
1170#67—122no—
1171#67—122no—
1172#67—122no—
1173#67—122no—
1174#67—122no—
1175#67—122no—
1176#67—122no—
1177#67—122no—
1178#67—122no—
1179#67—242no—
1180C2×Dic3—22no—
1181C2×Dic3—31no—
1182C2×Dic3—31no—
1183C2×Dic3—34no—
1184C2×Dic3—34no—
1185C2×Dic3—32no—
1186C2×Dic3—32no—
1187C2×Dic3—31no—
1188C2×Dic3—31no—
1189C2×Dic3—61no—
1190C2×Dic3—62no—
1191C2×Dic3—61no—
1192C2×Dic3—64no—
1193C2×Dic3—62no—
1194C2×Dic3—64no—
1195C2×Dic3—62no—
1196C2×Dic3—122no—
1197C2×Dic3C23×D312yes—
1198C2×Dic3C23×D311yescharacteristic
1199C2×Dic3C23×D312yes—
1200C2×Dic3C23×D312yes—
1201C2×Dic3C23×D311yescharacteristic
1202C2×Dic3C23×D311yescharacteristic
1203C2×Dic3C23×D311yescharacteristic
1204D12—22no—
1205D12—24no—
1206D12—22no—
1207D12—42no—
1208D12—62no—
1209D12—64no—
1210D12—64no—
1211D12—62no—
1212D12—64no—
1213D12—62no—
1214D12—62no—
1215D12—64no—
1216D12—62no—
1217D12—62no—
1218D12—64no—
1219D12—62no—
1220D12—62no—
1221D12—122no—
1222D12—122no—
1223D12—124no—
1224D12—122no—
1225D12—122no—
1226D12—122no—
1227D12—122no—
1228D12—122no—
1229D12—242no—
1230C4×D3—22no—
1231C4×D3—24no—
1232C4×D3—24no—
1233C4×D3—22no—
1234C4×D3—22no—
1235C4×D3—22no—
1236C4×D3—24no—
1237C4×D3—34no—
1238C4×D3—34no—
1239C4×D3—34no—
1240C4×D3—34no—
1241C4×D3—34no—
1242C4×D3—34no—
1243C4×D3—42no—
1244C4×D3—64no—
1245C4×D3—64no—
1246C4×D3—62no—
1247C4×D3—64no—
1248C4×D3—64no—
1249C4×D3—64no—
1250C4×D3—62no—
1251C4×D3—62no—
1252C4×D3—64no—
1253C4×D3—62no—
1254C4×D3—62no—
1255C4×D3—62no—
1256C4×D3—64no—
1257C4×D3—124no—
1258C4×D3—122no—
1259C4×D3—122no—
1260C4×D3—122no—
1261C4×D3—122no—
1262C4×D3—122no—
1263C4×D3—122no—
1264C4×D3—242no—
1265C4×D3D3×D414yes—
1266C4×D3D3×D414yescomplemented
1267Dic6—22no—
1268Dic6—22no—
1269Dic6—24no—
1270Dic6—62no—
1271Dic6—62no—
1272Dic6—62no—
1273Dic6—62no—
1274Dic6—62no—
1275Dic6—62no—
1276Dic6—122no—
1277C2×C32—41no—
1278C2×C32C23×D411yescharacteristic
1279C2×C32C2×H(5,𝔽2)11yescharacteristic
1280C2×C32C2×2−1+411yescharacteristic
1281C3⋊D3—22no—
1282C3⋊D3—42no—
1283C3⋊D3—41no—
1284C3×D3—22no—
1285C3×D3—41no—
1286C3×D3—42no—
1287C3×D3—41no—
1288C3×D3#53714yescomplemented
1289C24—31no—
1290C24—91no—
1291C24—92no—
1292C24—91no—
1293#41—64no—
1294#41—64no—
1295#41—184no—
1296#41—184no—
1297#41—184no—
1298#41—184no—
1299#41—184no—
1300#41—184no—
1301#41—184no—
1302#41—184no—
1303#41—188no—
1304#41—188no—
1305#41—184no—
1306#41—184no—
1307C2×Q8—32no—
1308C2×Q8—31no—
1309C2×Q8—31no—
1310C2×Q8—64no—
1311C2×Q8—91no—
1312C2×Q8—91no—
1313C2×Q8—91no—
1314C2×Q8—184no—
1315C2×Q8C2×D3211yescharacteristic
1316C2×D4—31no—
1317C2×D4—31no—
1318C2×D4—32no—
1319C2×D4—31no—
1320C2×D4—32no—
1321C2×D4—31no—
1322C2×D4—32no—
1323C2×D4—91no—
1324C2×D4—92no—
1325C2×D4—91no—
1326C2×D4—92no—
1327C2×D4—92no—
1328C2×D4—91no—
1329C2×D4—91no—
1330C2×D4—92no—
1331C2×D4—92no—
1332C2×D4—92no—
1333C2×D4—91no—
1334C2×D4—91no—
1335C2×D4—91no—
1336C2×D4—91no—
1337C2×D4—92no—
1338C2×D4—92no—
1339C2×D4—91no—
1340C2×D4—92no—
1341C2×D4—91no—
1342C2×D4—92no—
1343C2×D4—184no—
1344C2×D4—184no—
1345C2×D4—188no—
1346C2×D4—184no—
1347C2×D4—184no—
1348C2×D4—364no—
1349C2×D4—364no—
1350C22×C4—31no—
1351C22×C4—31no—
1352C22×C4—31no—
1353C22×C4—32no—
1354C22×C4—32no—
1355C22×C4—31no—
1356C22×C4—32no—
1357C22×C4—31no—
1358C22×C4—31no—
1359C22×C4—31no—
1360C22×C4—32no—
1361C22×C4—64no—
1362C22×C4—91no—
1363C22×C4—98no—
1364C22×C4—92no—
1365C22×C4—91no—
1366C22×C4—92no—
1367C22×C4—91no—
1368C22×C4—91no—
1369C22×C4—92no—
1370C22×C4—91no—
1371C22×C4—91no—
1372C22×C4—92no—
1373C22×C4—92no—
1374C22×C4—91no—
1375C22×C4—92no—
1376C22×C4—91no—
1377C22×C4—92no—
1378C22×C4—184no—
1379C22×C4—188no—
1380C22×C4—364no—
1381C22×C4C2×D3211yescharacteristic
1382C4⋊C4—32no—
1383C4⋊C4—31no—
1384C4⋊C4—32no—
1385C4⋊C4—31no—
1386C4⋊C4—32no—
1387C4⋊C4—32no—
1388C4⋊C4—32no—
1389C4⋊C4—32no—
1390C4⋊C4—92no—
1391C4⋊C4—92no—
1392C4⋊C4—92no—
1393C4⋊C4—92no—
1394C4⋊C4—92no—
1395C4⋊C4—92no—
1396C4⋊C4—91no—
1397C4⋊C4—92no—
1398C4⋊C4C2×D3211yescharacteristic
1399C4⋊C4C2×D3212yes—
1400C22⋊C4—32no—
1401C22⋊C4—32no—
1402C22⋊C4—32no—
1403C22⋊C4—32no—
1404C22⋊C4—32no—
1405C22⋊C4—32no—
1406C22⋊C4—92no—
1407C22⋊C4—92no—
1408C22⋊C4—92no—
1409C22⋊C4—92no—
1410C22⋊C4—92no—
1411C22⋊C4—92no—
1412C22⋊C4—92no—
1413C22⋊C4—92no—
1414C22⋊C4—92no—
1415C22⋊C4C2×D3212yes—
1416C22×C3—21no—
1417C22×C3—21no—
1418C22×C3—21no—
1419C22×C3—21no—
1420C22×C3—21no—
1421C22×C3—21no—
1422C22×C3—21no—
1423C22×C3—32no—
1424C22×C3—32no—
1425C22×C3—32no—
1426C22×C3—32no—
1427C22×C3—41no—
1428C22×C3—41no—
1429C22×C3—41no—
1430C22×C3—61no—
1431C22×C3—61no—
1432C22×C3—62no—
1433C22×C3—61no—
1434C22×C3—61no—
1435C22×C3—61no—
1436C22×C3—62no—
1437C22×C3—61no—
1438C22×C3—62no—
1439C22×C3—61no—
1440C22×C3—61no—
1441C22×C3—124no—
1442C22×C3C24×D311yescharacteristic
1443C22×C3C24×D311yescharacteristic
1444C2×D3—21no—
1445C2×D3—21no—
1446C2×D3—21no—
1447C2×D3—22no—
1448C2×D3—21no—
1449C2×D3—21no—
1450C2×D3—21no—
1451C2×D3—21no—
1452C2×D3—22no—
1453C2×D3—22no—
1454C2×D3—21no—
1455C2×D3—32no—
1456C2×D3—32no—
1457C2×D3—44no—
1458C2×D3—62no—
1459C2×D3—68no—
1460C2×D3—61no—
1461C2×D3—61no—
1462C2×D3—61no—
1463C2×D3—61no—
1464C2×D3—68no—
1465C2×D3—62no—
1466C2×D3—61no—
1467C2×D3—62no—
1468C2×D3—61no—
1469C2×D3—62no—
1470C2×D3—61no—
1471C2×D3—61no—
1472C2×D3—62no—
1473C2×D3—61no—
1474C2×D3—62no—
1475C2×D3—62no—
1476C2×D3—61no—
1477C2×D3—121no—
1478C2×D3—121no—
1479C2×D3—122no—
1480C2×D3—121no—
1481C2×D3—121no—
1482C2×D3—122no—
1483C2×D3—122no—
1484C2×D3—121no—
1485C2×D3—128no—
1486C2×D3—124no—
1487C2×D3—128no—
1488C2×D3—124no—
1489C2×D3C2×D3×D412yes—
1490C2×D3C2×D3×D412yes—
1491C2×D3#100712yes—
1492C2×D3#100912yes—
1493C3×C4—21no—
1494C3×C4—22no—
1495C3×C4—21no—
1496C3×C4—22no—
1497C3×C4—22no—
1498C3×C4—22no—
1499C3×C4—22no—
1500C3×C4—32no—
1501C3×C4—32no—
1502C3×C4—41no—
1503C3×C4—42no—
1504C3×C4—42no—
1505C3×C4—61no—
1506C3×C4—61no—
1507C3×C4—62no—
1508C3×C4—62no—
1509C3×C4—62no—
1510C3×C4C2×D3×D412yes—
1511C3×C4C2×D3×D412yes—
1512Dic3—22no—
1513Dic3—21no—
1514Dic3—21no—
1515Dic3—22no—
1516Dic3—22no—
1517Dic3—32no—
1518Dic3—32no—
1519Dic3—62no—
1520Dic3—61no—
1521Dic3—61no—
1522Dic3—62no—
1523Dic3—62no—
1524Dic3—121no—
1525Dic3—122no—
1526Dic3C2×D3×D412yes—
1527Dic3C2×D3×D412yes—
1528C32C2×#53711yescharacteristic, complemented, Sylow
1529C23—31no—
1530C23—31no—
1531C23—31no—
1532C23—31no—
1533C23—32no—
1534C23—62no—
1535C23—62no—
1536C23—62no—
1537C23—94no—
1538C23—91no—
1539C23—91no—
1540C23—92no—
1541C23—182no—
1542C23—182no—
1543C23—182no—
1544C23—184no—
1545C23—182no—
1546C23—184no—
1547C23—184no—
1548C23—182no—
1549C23C22×D3211yescharacteristic
1550Q8—22no—
1551Q8—64no—
1552Q8—62no—
1553Q8—62no—
1554Q8—182no—
1555Q8—182no—
1556Q8—182no—
1557D4—62no—
1558D4—64no—
1559D4—62no—
1560D4—62no—
1561D4—62no—
1562D4—122no—
1563D4—122no—
1564D4—182no—
1565D4—184no—
1566D4—182no—
1567D4—184no—
1568D4—182no—
1569D4—184no—
1570D4—182no—
1571D4—182no—
1572D4—184no—
1573D4—182no—
1574D4—182no—
1575D4—182no—
1576D4—182no—
1577D4—182no—
1578D4—362no—
1579D4—362no—
1580D4—362no—
1581D4—362no—
1582D4—362no—
1583D4—362no—
1584C2×C4—22no—
1585C2×C4—31no—
1586C2×C4—31no—
1587C2×C4—34no—
1588C2×C4—34no—
1589C2×C4—32no—
1590C2×C4—32no—
1591C2×C4—31no—
1592C2×C4—32no—
1593C2×C4—31no—
1594C2×C4—62no—
1595C2×C4—64no—
1596C2×C4—62no—
1597C2×C4—64no—
1598C2×C4—64no—
1599C2×C4—62no—
1600C2×C4—62no—
1601C2×C4—62no—
1602C2×C4—94no—
1603C2×C4—94no—
1604C2×C4—94no—
1605C2×C4—91no—
1606C2×C4—94no—
1607C2×C4—92no—
1608C2×C4—91no—
1609C2×C4—122no—
1610C2×C4—184no—
1611C2×C4—184no—
1612C2×C4—182no—
1613C2×C4—182no—
1614C2×C4—184no—
1615C2×C4—182no—
1616C2×C4—184no—
1617C2×C4—182no—
1618C2×C4—362no—
1619C2×C4—362no—
1620C2×C4—362no—
1621C2×C4C22×D3211yescharacteristic
1622C2×C4C22×D3212yes—
1623C2×C4C22×D3212yes—
1624C2×C4C22×D3211yescharacteristic
1625C2×C3—21no—
1626C2×C3—21no—
1627C2×C3—21no—
1628C2×C3—34no—
1629C2×C3—41no—
1630C2×C3—41no—
1631C2×C3—62no—
1632C2×C3—81no—
1633C2×C3—121no—
1634C2×C3—122no—
1635C2×C3—121no—
1636C2×C3C22×D3×D411yescharacteristic
1637C2×C3C22×D3×D411yescharacteristic
1638C2×C3C2×#100711yescharacteristic
1639C2×C3C2×#100911yescharacteristic
1640C2×C3D3×H(5,𝔽2)11yescharacteristic
1641C2×C3D3×2−1+411yescharacteristic
1642D3—22no—
1643D3—42no—
1644D3—41no—
1645D3—41no—
1646D3—62no—
1647D3—62no—
1648D3—122no—
1649D3—122no—
1650D3—121no—
1651D3—122no—
1652D3—121no—
1653D3—242no—
1654D3—241no—
1655D3#562914yesdirect product factor
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—32no—
1660C22—32no—
1661C22—32no—
1662C22—32no—
1663C22—61no—
1664C22—61no—
1665C22—61no—
1666C22—62no—
1667C22—61no—
1668C22—61no—
1669C22—61no—
1670C22—62no—
1671C22—61no—
1672C22—62no—
1673C22—61no—
1674C22—92no—
1675C22—124no—
1676C22—188no—
1677C22—181no—
1678C22—181no—
1679C22—182no—
1680C22—181no—
1681C22—181no—
1682C22—182no—
1683C22—181no—
1684C22—182no—
1685C22—364no—
1686C22—368no—
1687C22C23×D3211yescharacteristic
1688C4—21no—
1689C4—22no—
1690C4—22no—
1691C4—32no—
1692C4—32no—
1693C4—61no—
1694C4—61no—
1695C4—62no—
1696C4—62no—
1697C4—62no—
1698C4—92no—
1699C4—181no—
1700C4—182no—
1701C4D32×D412yes—
1702C3—21no—
1703C3C2×#562911yescharacteristic, complemented
1704C3D3×#53711yescharacteristic, complemented
1705C2—34no—
1706C2—41no—
1707C2—62no—
1708C2—121no—
1709C2—122no—
1710C2—121no—
1711C2—182no—
1712C2—362no—
1713C2—361no—
1714C2C2×D32×D411yescharacteristic
1715C2D3×#100711yescharacteristic
1716C2D3×#100911yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C22⋊Q8C22
hypercenterC22⋊Q8D32
hypocenterC32C2×#537
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C2×D3×#239C2semidirect
2. C2×D3×#235C2semidirect
3. #10596100C2semidirect
4. C3×#5629C2semidirect
5. C3×D3×C22⋊Q8C2semidirect
6. D3×#946C2semidirect
7. #10595404C2semidirect
8. #10595398C2semidirect
9. D3×#930C2semidirect
10. #10594923C2semidirect
11. #10594894C2semidirect
12. D3×#896C2semidirect
13. D3×#895C2semidirect
14. D3×#895C2semidirect
15. D32×C4⋊C4C2semidirect
16. #10594528C2semidirect
17. #10594523C2semidirect
18. #10594519C2semidirect
19. #10594368C2semidirect
20. D3×#884C2semidirect
21. D3×#884C2semidirect
22. #10594069C2semidirect
23. #10594059C2semidirect
26. C2×#3832C22semidirect
27. C2×#3828C22semidirect
28. C2×C3×#239C22semidirect
30. C2×C3×#235C22semidirect
35. C2×#3804C22semidirect
36. C2×#3804C22semidirect
47. C2×#3799C22semidirect
48. C2×#3799C22semidirect
49. C2×#3799C22semidirect
50. C2×#3798C22semidirect
51. C2×#3798C22semidirect
52. C2×#3796C22semidirect
53. C2×#3796C22semidirect
54. C2×#3795C22semidirect
56. C32×C22⋊Q8C22semidirect
57. #64155C22semidirect
58. #64139C22semidirect
59. #64105C22semidirect
60. #64104C22semidirect
61. #64104C22semidirect
62. C4⋊C4×C3⋊D3C22semidirect
63. #64093C22semidirect
64. #64093C22semidirect
65. C3×#946C22semidirect
66. C3×#946C22semidirect
67. C3×#930C22semidirect
68. C3×#924C22semidirect
69. C3×#897C22semidirect
70. C3×#896C22semidirect
71. C3×#896C22semidirect
72. C3×#895C22semidirect
73. C3×#895C22semidirect
76. C3×D3×C4⋊C4C22semidirect
77. C3×#884C22semidirect
78. C3×#884C22semidirect
80. C3×#878C22semidirect
81. #63978C22semidirect
82. #63971C22semidirect
83. #63971C22semidirect
84. #63958C22semidirect
85. #63958C22semidirect
89. #63916C22semidirect
90. #63916C22semidirect
91. #63912C22semidirect
92. #63912C22semidirect
93. #63910C22semidirect
94. #63910C22semidirect
95. #63910C22semidirect
96. #63910C22semidirect
97. #63910C22semidirect
98. #63909C22semidirect
99. #63909C22semidirect
100. #63909C22semidirect
101. #63908C22semidirect
102. #63906C22semidirect
103. #63906C22semidirect
104. #63906C22semidirect
105. #63900C22semidirect
106. #63899C22semidirect
107. #63896C22semidirect
108. #63895C22semidirect
110. D3×C4⋊Dic3C22semidirect
111. #63888C22semidirect
112. #63888C22semidirect
113. #63887C22semidirect
114. #63886C22semidirect
115. #63886C22semidirect
116. #63886C22semidirect
117. #63885C22semidirect
118. #63885C22semidirect
119. #63883C22semidirect
122. D3×Dic3⋊C4C22semidirect
123. #63871C22semidirect
124. #63865C22semidirect
125. #63856C22semidirect
126. #63851C22semidirect
152. #5629D3direct (N × H)
155. D3×C22⋊Q8D3semidirect
257. C4×D32D4semidirect
320. C2×#239C2×D3semidirect
349. C2×#235C2×D3semidirect
372. C3×C22⋊Q8C2×D3semidirect
373. C3×C22⋊Q8C2×D3semidirect
391. #946C2×D3semidirect
392. #946C2×D3semidirect
417. #930C2×D3semidirect
425. #924C2×D3semidirect
431. #897C2×D3semidirect
443. #896C2×D3semidirect
444. #896C2×D3semidirect
464. #895C2×D3semidirect
465. #895C2×D3semidirect
480. D3×C4⋊C4C2×D3semidirect
505. #884C2×D3semidirect
506. #884C2×D3semidirect
514. #878C2×D3semidirect
555. C4×C3⋊D3C2×D4semidirect
581. C3×C4×D3C2×D4semidirect
603. #624C2×D4semidirect
610. D3×Dic3C2×D4semidirect
1008. C22⋊Q8D32semidirect
1266. C4×D3D3×D4semidirect
1288. C3×D3#537semidirect
1528. C32C2×#537semidirect
1655. D3#5629direct (N × H)
1703. C3C2×#5629semidirect
1704. C3D3×#537semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#2392
C2×D3×#2352
#105961002
C3×#56292
C3×D3×C22⋊Q82
D3×#9462
#105954042
#105953982
D3×#9302
#105949232
#105948942
D3×#8962
D3×#8952
D32×C4⋊C42
#105945282
#105945232
#105945192
#105943682
D3×#8842
#105940692
#105940592
D3×#5373
C2×#56293