Finite Group Databasebeta

← #72252374

Subgroups — #72252374

Order 2304.

2161 conjugacy classes of subgroups.

The subgroup lattice has 1847 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#85921C211yesmaximal, characteristic
2#11796401C211yesmaximal, characteristic, complemented
3#11796245C211yesmaximal, characteristic, complemented
4C2×C3×#4536C211yesmaximal, characteristic, complemented
5#11788856C211yesmaximal, characteristic, complemented
6#11788790C211yesmaximal, characteristic, complemented
7#11787933C211yesmaximal, characteristic, complemented
8#10710948—31nomaximal
9#10710946—31nomaximal
10C2×C32×#120C2211yescharacteristic
11#10596269C2211yescharacteristic, complemented
12C2×C3×#953—21no—
13C3×#5806—21no—
14C3×#5805C2211yescharacteristic
15C3×#5804C2211yescharacteristic
16C3×D4×#67—21no—
17C3×#5595—21no—
18C3×#5595C411yescharacteristic, complemented
19C3×#5594C411yescharacteristic, complemented
20C3×#5593—21no—
21C3×#5593—21no—
22C3×#5592—21no—
23C3×#5591—21no—
24C3×#5590C411yescharacteristic, complemented
25C3×#5589—21no—
26C3×#5587C411yescharacteristic, complemented
27C3×#5495—21no—
28C3×#5494—21no—
29C3×#5490—21no—
30#10592946—21no—
31C2×#63661C2211yescharacteristic, complemented
32C2×C3×#834C2211yescharacteristic, complemented
33C2×C3×#833C2211yescharacteristic, complemented
34C2×#63580—21no—
35#10591110—21no—
36#10589393—21no—
37C3×#4536—21no—
38C3×#4536—21no—
39#10589186—21no—
40#10589180—21no—
41#10589178—21no—
42#10589176—21no—
43#10589173—21no—
44#10589158—21no—
45C3×#3532—31no—
46#85921D311yescharacteristic
47C2×C3×AΣL(1,𝔽16)—31no—
48#71860—31no—
49#71853—31no—
50#71848—31no—
51#71847—31no—
52#71669—31no—
53#71669—31no—
54#71669—61no—
55C2×#4536D311yescharacteristic, complemented
56#70094—31no—
57#70071—31no—
58#70024—31no—
59#70019—31no—
60C25×C32D411yescharacteristic
61C22×C32×D4—21no—
62C22×C32×D4C2311yescharacteristic
63C22×C3×#67—21no—
64C22×C3×#67—21no—
65C22×C3×#67—21no—
66C22×C3×#67D411yescharacteristic
67C2×C3×#237—21no—
68C2×C3×D3×D4—21no—
69C2×C3×#235D411yescharacteristic
70C32×#120—21no—
71C32×#120—21no—
72C32×#120C2×C411yescharacteristic
73C32×#120C2×C411yescharacteristic
74C32×#120D411yescharacteristic
75C32×#120D411yescharacteristic
76C2×C32×C22⋊C4—21no—
77C2×C32×C22⋊C4D411yescharacteristic
78C2×#3757—21no—
79C2×#3757—21no—
80C2×#3757—21no—
81C2×#3757—42no—
82D4×C3⋊Dic3—42no—
83#64135—21no—
84C3×#953—21no—
85C3×#953—21no—
86C3×#953—21no—
87C3×#953—21no—
88C3×#953—21no—
89C3×#953—21no—
90C3×#953—21no—
91C3×#953—21no—
92C3×#953—21no—
93C2×C3×#217—21no—
94C2×C3×#217—21no—
95C2×C3×#217—21no—
96C2×C3×#217—21no—
97C2×C3×#217D411yescharacteristic
98C3×#940—21no—
99C3×#940C2×C411yescharacteristic
100C3×#940D411yescharacteristic
101C3×#939—21no—
102C3×#939—21no—
103C3×#939—21no—
104C3×#939—21no—
105C3×#939—21no—
106C3×#939—21no—
107C3×#938—21no—
108C3×#938—21no—
109C3×#938—21no—
110C3×#938—21no—
111C3×#937—21no—
112C3×#937—21no—
113C3×#937C2×C411yescharacteristic
114C3×#937D411yescharacteristic
115C3×#936—21no—
116C3×#936C2×C411yescharacteristic
117C3×#936D411yescharacteristic
118C3×#935—21no—
119C3×#935—21no—
120C3×#935C2×C411yescharacteristic
121C3×#935D411yescharacteristic
122C3×D4×Dic3—21no—
123C3×D4×Dic3—21no—
124C3×#930—21no—
125C3×#929—21no—
126C3×C4×#67—21no—
127C3×C4×#67—21no—
128C3×#926D411yescharacteristic
129C3×#924—21no—
130C2×C3×#208—21no—
131C3×#886—21no—
132C3×#885—21no—
133C3×#885—21no—
134C3×#885—21no—
135C3×#885—21no—
136C3×#884—21no—
137C3×#884—21no—
138C3×#884—21no—
139C3×#884—21no—
140C3×#883—21no—
141C3×#883—21no—
142C3×#883—21no—
143C3×#883—21no—
144C3×#882—21no—
145C3×#67⋊C4—21no—
146C3×#67⋊C4—21no—
147C3×D3×C22⋊C4—21no—
148C3×#879—21no—
149C3×#879—21no—
150C3×#879—21no—
151C3×#879—21no—
152C3×#878—21no—
153C3×#878—21no—
154C3×#877—21no—
155#63661—21no—
156#63661—21no—
157C3×#834—21no—
158C3×#834—21no—
159C3×#833—21no—
160C3×#833—21no—
161#63580—42no—
162#63568—42no—
163#12753—91noSylow
164C3×H(3,𝔽4)—31no—
165C3×#560—31no—
166C3×#560—61no—
167C3×#551—31no—
168C3×#551—61no—
169C3×#546—61no—
170C3×#546—61no—
171C3×#546—61no—
172C3×D42—31no—
173C3×D42—61no—
174C3×#538—61no—
175C3×#538—61no—
176C3×#538—61no—
177C3×#535—31no—
178C3×#535—61no—
179C3×#534—31no—
180C3×#534—61no—
181C2×C3×#120—21no—
182C2×C3×#120—61no—
183C2×C3×#120C2×D311yescharacteristic
184C2×C3×#120C2×D311yescharacteristic
185C2×#953—21no—
186#5806—21no—
187#5805C2×D311yescharacteristic
188#5804C2×D311yescharacteristic
189D4×#67—21no—
190#5798—31no—
191#5798—31no—
192#5798—61no—
193#5595—21no—
194#5595Dic311yescharacteristic, complemented
195#5594Dic311yescharacteristic, complemented
196#5593—21no—
197#5593—21no—
198#5592—21no—
199#5591—21no—
200#5590Dic311yescharacteristic, complemented
201#5589—21no—
202#5587Dic311yescharacteristic, complemented
203#5495—21no—
204#5494—21no—
205#5490—21no—
206C2×C3×#100—31no—
207C2×C3×#99—31no—
208#5247—62no—
209#5247—61no—
210#5247—61no—
211#5236—61no—
212C2×#834—31no—
213C2×#834—31no—
214C2×#834—61no—
215C2×#834—61no—
216C2×#834C2×D311yescharacteristic, complemented
217C2×#833C2×D311yescharacteristic, complemented
218#5139—61no—
219C2×#806—61no—
220C3×AΣL(1,𝔽16)—61no—
221C3×AΣL(1,𝔽16)—61no—
222#4557—61no—
223#4545—61no—
224#4541—61no—
225#4539—61no—
226#4536—21no—
227#4536—21no—
228#4536—61no—
229#4531—61no—
230#4527—61no—
231#4527—62no—
232#4527—61no—
233#4527—61no—
234#4526—61no—
235#4476—61no—
236#4475—61no—
237#4474—61no—
238#4473—61no—
239C24×C32—21no—
240C24×C32—21no—
241C24×C32—41no—
242C24×C32—41no—
243C24×C32—82no—
244C24×C32C22⋊C411yescharacteristic
245C24×C32C22⋊C411yescharacteristic
246C24×C32C2×D411yescharacteristic
247C24×C32C2×D411yescharacteristic
248C23×C3×D3—21no—
249C23×C3×D3C22⋊C411yescharacteristic, complemented
250C2×C32×D4—21no—
251C2×C32×D4—21no—
252C2×C32×D4—21no—
253C2×C32×D4—21no—
254C2×C32×D4—41no—
255C2×C32×D4—41no—
256C2×C32×D4—82no—
257C2×C32×D4C22×C411yescharacteristic
258C2×C32×D4C2×D411yescharacteristic
259C2×C32×D4C2×D411yescharacteristic
260C2×C32×D4C2×D411yescharacteristic
261C22×C32×C4—21no—
262C22×C32×C4C2×D411yescharacteristic
263C22×C3⋊Dic3—22no—
264C22×C3⋊Dic3—41no—
265C22×C3⋊Dic3—41no—
266C2×C3×#67—21no—
267C2×C3×#67—21no—
268C2×C3×#67—21no—
269C2×C3×#67—21no—
270C2×C3×#67—21no—
271C2×C3×#67—21no—
272C2×C3×#67—21no—
273C2×C3×#67—21no—
274C2×C3×#67—21no—
275C2×C3×#67—21no—
276C2×C3×#67—21no—
277C2×C3×#67—21no—
278C2×C3×#67—21no—
279C2×C3×#67—21no—
280C2×C3×#67—21no—
281C2×C3×#67—41no—
282C2×C3×#67—41no—
283C2×C3×#67—82no—
284C2×C3×#67—82no—
285C2×C3×#67—81no—
286C2×C3×#67—81no—
287C22×C3×Dic3—21no—
288C22×C3×Dic3—21no—
289C22×C3×Dic3—21no—
290C22×C3×Dic3—21no—
291C22×C3×Dic3—41no—
292C22×C3×Dic3C22⋊C411yescharacteristic, complemented
293C3×#237—82no—
294C3×D3×D4—82no—
295C3×#235—41no—
296C3×#235—41no—
297C2×C3×D12—21no—
298C2×C3×D12C22⋊C411yescharacteristic, complemented
299C2×C3×C4×D3—21no—
300C2×C3×C4×D3—21no—
301C2×C3×C4×D3—21no—
302C2×C3×Dic6—21no—
303C2×C3×Dic6C22⋊C411yescharacteristic, complemented
304C32×C22⋊C4—21no—
305C32×C22⋊C4—21no—
306C32×C22⋊C4—21no—
307C32×C22⋊C4—21no—
308C32×C22⋊C4—21no—
309C32×C22⋊C4C22⋊C411yescharacteristic
310C32×C22⋊C4C22⋊C411yescharacteristic
311#3757—22no—
312#3757—41no—
313#3757—41no—
314#3757—41no—
315#3757—41no—
316#3757—84no—
317C4⋊(C3⋊Dic3)—41no—
318C4×C3⋊Dic3—22no—
319C3×#217—21no—
320C3×#217—21no—
321C3×#217—21no—
322C3×#217—21no—
323C3×#217—21no—
324C3×#217—21no—
325C3×#217—21no—
326C3×#217—21no—
327C3×#217—21no—
328C3×#217—21no—
329C3×#217—21no—
330C3×#217—21no—
331C3×#217—21no—
332C3×#217—21no—
333C3×#217—41no—
334C3×#217—41no—
335C3×#217C22⋊C411yescharacteristic, complemented
336C3×#217C22⋊C411yescharacteristic, complemented
337C3×(C2×D3)⋊C4—21no—
338C3×(C2×D3)⋊C4—21no—
339C3×(C2×D3)⋊C4—21no—
340C3×(C2×D3)⋊C4—21no—
341C3×(C2×D3)⋊C4—21no—
342C3×(C2×D3)⋊C4—21no—
343C3×C4⋊Dic3—21no—
344C3×C4⋊Dic3—21no—
345C3×C4⋊Dic3—21no—
346C3×Dic3⋊C4—21no—
347C3×Dic3⋊C4—21no—
348C3×Dic3⋊C4—21no—
349C3×Dic3⋊C4—21no—
350C3×Dic3⋊C4—21no—
351C3×Dic3⋊C4—21no—
352C3×C4×Dic3—21no—
353C3×C4×Dic3—21no—
354C3×C4×Dic3C22⋊C411yescharacteristic, complemented
355C3×C4×Dic3C22⋊C411yescharacteristic, complemented
356C3×#208—41no—
357C3×#208—41no—
358C2×C3×C3⋊C8—41no—
359#3532—31no—
360#2127—91no—
361#2121—91no—
362C2×AΣL(1,𝔽16)—31no—
363#1913—91no—
364#1911—91no—
365#1889—91no—
366C25×C3—21no—
367C25×C3D1211yescharacteristic
368C25×C3#6711yescharacteristic
369C2×C3×#41—31no—
370C2×C3×#41—61no—
371C22×C3×D4—21no—
372C22×C3×D4—21no—
373C22×C3×D4—21no—
374C22×C3×D4—31no—
375C22×C3×D4—41no—
376C22×C3×D4—61no—
377C22×C3×D4—61no—
378C22×C3×D4—61no—
379C22×C3×D4—61no—
380C22×C3×D4C22×D311yescharacteristic
381C22×C3×D4C22×D311yescharacteristic
382C22×#67—21no—
383C22×#67—21no—
384C22×#67—21no—
385C22×#67#6711yescharacteristic
386C2×#237—21no—
387C2×D3×D4—21no—
388C2×#235#6711yescharacteristic
389C2×C3×M16—61no—
390C3×#127—31no—
391C3×#127—31no—
392C3×#127—61no—
393C3×#126—61no—
394C3×#126—61no—
395C3×#126—61no—
396C3×#126—61no—
397C3×#124—31no—
398C3×#124—31no—
399C3×#124—61no—
400C3×#124—61no—
401C3×#124—61no—
402C3×#124—61no—
403C3×#124—61no—
404C3×#123—31no—
405C3×#123—31no—
406C3×#123—61no—
407C3×#123—61no—
408C3×#123—61no—
409C3×#123—61no—
410C3×#123—61no—
411C3×#123—61no—
412C3×#123—61no—
413C3×#123—61no—
414C3×C22⋊Q8—61no—
415C3×C22⋊Q8—61no—
416C3×C22⋊Q8—61no—
417C3×#121—61no—
418C3×#121—61no—
419C3×#121—61no—
420C3×#121—61no—
421C3×#121—61no—
422C3×#121—61no—
423C3×#121—61no—
424C3×#121—61no—
425C3×#121—61no—
426C3×#121—61no—
427C3×#121—61no—
428C3×#121—61no—
429C3×#121—61no—
430C3×#121—61no—
431C3×#121—61no—
432C3×#120—21no—
433C3×#120—21no—
434C3×#120—21no—
435C3×#120—21no—
436C3×#120—21no—
437C3×#120—21no—
438C3×#120—21no—
439C3×#120—21no—
440C3×#120—31no—
441C3×#120—31no—
442C3×#120—41no—
443C3×#120—41no—
444C3×#120—61no—
445C3×#120—61no—
446C3×#120—61no—
447C3×#120—61no—
448C3×#120—61no—
449C3×#120—61no—
450C3×#120—61no—
451C3×#120—61no—
452C3×#120—61no—
453C3×#120—61no—
454C3×#120—61no—
455C3×#120—61no—
456C3×#120C4×D311yescharacteristic
457C3×#120C4×D311yescharacteristic
458C3×#120C2×Dic311yescharacteristic
459C3×#120C2×Dic311yescharacteristic
460C3×#120#6711yescharacteristic
461C3×#120#6711yescharacteristic
462C3×#120#6711yescharacteristic
463C3×#120#6711yescharacteristic
464C3×C4×D4—61no—
465C3×C4×D4—61no—
466C3×C4×D4—61no—
467C3×C4×D4—61no—
468C3×C4×D4—61no—
469C3×C4×D4—61no—
470C3×#117—31no—
471C3×#117—61no—
472C2×C3×C22⋊C4—21no—
473C2×C3×C22⋊C4—21no—
474C2×C3×C22⋊C4—21no—
475C2×C3×C22⋊C4—31no—
476C2×C3×C22⋊C4—41no—
477C2×C3×C22⋊C4—61no—
478C2×C3×C22⋊C4—61no—
479C2×C3×C22⋊C4—61no—
480C2×C3×C22⋊C4—61no—
481C2×C3×C22⋊C4—61no—
482C2×C3×C22⋊C4D1211yescharacteristic
483C2×C3×C22⋊C4#6711yescharacteristic
484#953—21no—
485#953—21no—
486#953—21no—
487#953—21no—
488#953—21no—
489#953—21no—
490#953—21no—
491#953—21no—
492#953—21no—
493C2×#217—21no—
494C2×#217—21no—
495C2×#217—21no—
496C2×#217—21no—
497C2×#217—61no—
498C2×#217—61no—
499C2×#217—62no—
500C2×#217—61no—
501C2×#217—61no—
502C2×#217—62no—
503C2×#217—61no—
504C2×#217—61no—
505C2×#217—121no—
506C2×#217—122no—
507C2×#217—122no—
508C2×#217—124no—
509C2×#217#6711yescharacteristic
510#940—21no—
511#940C2×Dic311yescharacteristic
512#940#6711yescharacteristic
513#939—21no—
514#939—21no—
515#939—21no—
516#939—21no—
517#939—21no—
518#939—21no—
519#938—21no—
520#938—21no—
521#938—21no—
522#938—21no—
523#937—21no—
524#937—21no—
525#937C2×Dic311yescharacteristic
526#937#6711yescharacteristic
527#936—21no—
528#936C2×Dic311yescharacteristic
529#936#6711yescharacteristic
530#935—21no—
531#935—21no—
532#935C2×Dic311yescharacteristic
533#935#6711yescharacteristic
534D4×Dic3—21no—
535D4×Dic3—21no—
536D4×Dic3—122no—
537D4×Dic3—122no—
538D4×Dic3—124no—
539#930—21no—
540#929—21no—
541C4×#67—21no—
542C4×#67—21no—
543#926—61no—
544#926—61no—
545#926—121no—
546#926#6711yescharacteristic
547#924—21no—
548C2×#208—21no—
549#886—21no—
550#885—21no—
551#885—21no—
552#885—21no—
553#885—21no—
554#884—21no—
555#884—21no—
556#884—21no—
557#884—21no—
558#883—21no—
559#883—21no—
560#883—21no—
561#883—21no—
562#882—21no—
563#67⋊C4—21no—
564#67⋊C4—21no—
565D3×C22⋊C4—21no—
566#879—21no—
567#879—21no—
568#879—21no—
569#879—21no—
570#878—21no—
571#878—21no—
572#877—21no—
573C3×#100—61no—
574C3×#100—61no—
575C3×#99—61no—
576C3×#99—61no—
577#837—122no—
578#834—21no—
579#834—21no—
580#834—61no—
581#834—61no—
582#834—61no—
583#834—61no—
584#834—121no—
585#834—121no—
586#834—122no—
587#833—21no—
588#833—21no—
589#825—122no—
590#806—122no—
591C23×C32—21no—
592C23×C32—21no—
593C23×C32—21no—
594C23×C32—21no—
595C23×C32—21no—
596C23×C32—21no—
597C23×C32—41no—
598C23×C32—41no—
599C23×C32—42no—
600C23×C32—44no—
601C23×C32—42no—
602C23×C32—42no—
603C23×C32—41no—
604C23×C32—41no—
605C23×C32—81no—
606C23×C32—81no—
607C23×C32—81no—
608C23×C32—81no—
609C23×C32—81no—
610C23×C32—81no—
611C23×C32—82no—
612C23×C32—82no—
613C23×C32—82no—
614C23×C32C2×C22⋊C411yescharacteristic
615C23×C32C2×C22⋊C411yescharacteristic
616C23×C32#12011yescharacteristic
617C23×C32#12011yescharacteristic
618C23×C32#12011yescharacteristic
619C22×C3×D3—21no—
620C22×C3×D3—21no—
621C22×C3×D3—42no—
622C22×C3×D3—41no—
623C22×C3×D3—81no—
624C22×C3×D3—81no—
625C22×C3×D3—81no—
626C32×D4—41no—
627C32×D4—41no—
628C32×D4—41no—
629C32×D4—41no—
630C32×D4—42no—
631C32×D4—42no—
632C32×D4—81no—
633C32×D4—81no—
634C2×C32×C4—21no—
635C2×C32×C4—21no—
636C2×C32×C4—21no—
637C2×C32×C4—21no—
638C2×C32×C4—81no—
639C2×C32×C4C2×C22⋊C411yescharacteristic
640C2×C32×C4#12011yescharacteristic
641C2×C3⋊Dic3—42no—
642C2×C3⋊Dic3—82no—
643C2×C3⋊Dic3—81no—
644C2×C3⋊Dic3—82no—
645C2×C3⋊Dic3—161no—
646C3×#67—42no—
647C3×#67—42no—
648C3×#67—41no—
649C3×#67—41no—
650C3×#67—41no—
651C3×#67—41no—
652C3×#67—81no—
653C3×#67—81no—
654C3×#67—81no—
655C3×#67—81no—
656C3×#67—81no—
657C3×#67—81no—
658C3×#67—81no—
659C3×#67—81no—
660C3×#67—81no—
661C3×#67—81no—
662C3×#67—81no—
663C2×C3×Dic3—21no—
664C2×C3×Dic3—21no—
665C2×C3×Dic3—21no—
666C2×C3×Dic3—21no—
667C2×C3×Dic3—21no—
668C2×C3×Dic3—21no—
669C2×C3×Dic3—42no—
670C2×C3×Dic3—41no—
671C2×C3×Dic3—81no—
672C2×C3×Dic3—81no—
673C2×C3×Dic3—81no—
674C2×C3×Dic3—81no—
675C2×C3×Dic3—161no—
676C3×D12—41no—
677C3×D12—81no—
678C3×C4×D3—81no—
679C3×C4×D3—81no—
680C3×C4×D3—81no—
681C3×Dic6—41no—
682C3×Dic6—81no—
683C3×C3⋊C8—81no—
684H(3,𝔽4)—31no—
685#560—31no—
686#560—61no—
687#551—31no—
688#551—61no—
689#546—61no—
690#546—61no—
691#546—61no—
692D42—31no—
693D42—61no—
694#538—61no—
695#538—61no—
696#538—61no—
697#535—31no—
698#535—61no—
699#534—31no—
700#534—61no—
701C2×#120—61no—
702C2×#120D3211yescharacteristic
703#518—91no—
704#421—181no—
705C2×#100—31no—
706C2×#99—31no—
707C2×#99—91no—
708C2×#99—181no—
709#379—181no—
710#354—181no—
711#353—181no—
712#352—181no—
713AΣL(1,𝔽16)—61no—
714AΣL(1,𝔽16)—61no—
715AΣL(1,𝔽16)—181no—
716#342—181no—
717#342—181no—
718H(3,ℤ/4)—181no—
719C24×C3—21no—
720C24×C3—21no—
721C24×C3—21no—
722C24×C3—21no—
723C24×C3—21no—
724C24×C3—21no—
725C24×C3—21no—
726C24×C3—21no—
727C24×C3—31no—
728C24×C3—41no—
729C24×C3—41no—
730C24×C3—41no—
731C24×C3—41no—
732C24×C3—42no—
733C24×C3—41no—
734C24×C3—41no—
735C24×C3—42no—
736C24×C3—61no—
737C24×C3—82no—
738C24×C3—82no—
739C24×C3—84no—
740C24×C3(C2×D3)⋊C411yescharacteristic
741C24×C3(C2×D3)⋊C411yescharacteristic
742C24×C3#21711yescharacteristic
743C24×C3#21711yescharacteristic
744C24×C3C2×D1211yescharacteristic
745C24×C3D3×D411yescharacteristic
746C24×C3C2×#6711yescharacteristic
747C24×C3C2×#6711yescharacteristic
748C23×D3—21no—
749C23×D3#21711yescharacteristic, complemented
750C3×#41—121no—
751C3×#41—121no—
752C3×#41—242no—
753C2×C3×Q8—31no—
754C2×C3×Q8—61no—
755C2×C3×D4—21no—
756C2×C3×D4—21no—
757C2×C3×D4—21no—
758C2×C3×D4—21no—
759C2×C3×D4—21no—
760C2×C3×D4—21no—
761C2×C3×D4—21no—
762C2×C3×D4—21no—
763C2×C3×D4—21no—
764C2×C3×D4—21no—
765C2×C3×D4—21no—
766C2×C3×D4—21no—
767C2×C3×D4—31no—
768C2×C3×D4—41no—
769C2×C3×D4—41no—
770C2×C3×D4—41no—
771C2×C3×D4—41no—
772C2×C3×D4—41no—
773C2×C3×D4—41no—
774C2×C3×D4—41no—
775C2×C3×D4—41no—
776C2×C3×D4—42no—
777C2×C3×D4—42no—
778C2×C3×D4—61no—
779C2×C3×D4—61no—
780C2×C3×D4—61no—
781C2×C3×D4—61no—
782C2×C3×D4—61no—
783C2×C3×D4—61no—
784C2×C3×D4—61no—
785C2×C3×D4—61no—
786C2×C3×D4—61no—
787C2×C3×D4—61no—
788C2×C3×D4—61no—
789C2×C3×D4—61no—
790C2×C3×D4—61no—
791C2×C3×D4—61no—
792C2×C3×D4—61no—
793C2×C3×D4—61no—
794C2×C3×D4—82no—
795C2×C3×D4—82no—
796C2×C3×D4—84no—
797C2×C3×D4—121no—
798C2×C3×D4—121no—
799C2×C3×D4—242no—
800C2×C3×D4—242no—
801C2×C3×D4—242no—
802C2×C3×D4—241no—
803C2×C3×D4—241no—
804C2×C3×D4C2×C4×D311yescharacteristic
805C2×C3×D4D3×D411yescharacteristic
806C2×C3×D4D3×D411yescharacteristic
807C2×C3×D4C22×Dic311yescharacteristic
808C2×C3×D4C2×#6711yescharacteristic
809C2×C3×D4C2×#6711yescharacteristic
810C2×C3×D4C2×#6711yescharacteristic
811C2×C3×D4C2×#6711yescharacteristic
812C22×C3×C4—21no—
813C22×C3×C4—21no—
814C22×C3×C4—21no—
815C22×C3×C4—31no—
816C22×C3×C4—41no—
817C22×C3×C4—61no—
818C22×C3×C4—61no—
819C22×C3×C4—61no—
820C22×C3×C4—61no—
821C22×C3×C4—61no—
822C22×C3×C4—61no—
823C22×C3×C4—61no—
824C22×C3×C4—121no—
825C22×C3×C4D3×D411yescharacteristic
826C22×C3×C4C2×#6711yescharacteristic
827C2×#67—21no—
828C2×#67—21no—
829C2×#67—21no—
830C2×#67—21no—
831C2×#67—21no—
832C2×#67—21no—
833C2×#67—21no—
834C2×#67—21no—
835C2×#67—21no—
836C2×#67—21no—
837C2×#67—21no—
838C2×#67—21no—
839C2×#67—21no—
840C2×#67—21no—
841C2×#67—21no—
842C2×#67—41no—
843C2×#67—41no—
844C2×#67—82no—
845C2×#67—82no—
846C2×#67—81no—
847C2×#67—81no—
848C22×Dic3—21no—
849C22×Dic3—21no—
850C22×Dic3—21no—
851C22×Dic3—21no—
852C22×Dic3—41no—
853C22×Dic3—64no—
854C22×Dic3—62no—
855C22×Dic3—62no—
856C22×Dic3—121no—
857C22×Dic3—121no—
858C22×Dic3—122no—
859C22×Dic3—122no—
860C22×Dic3—121no—
861C22×Dic3—121no—
862C22×Dic3#21711yescharacteristic, complemented
863#237—82no—
864D3×D4—82no—
865#235—41no—
866#235—41no—
867C2×D12—21no—
868C2×D12#21711yescharacteristic, complemented
869C2×C4×D3—21no—
870C2×C4×D3—21no—
871C2×C4×D3—21no—
872C2×Dic6—21no—
873C2×Dic6#21711yescharacteristic, complemented
874C3×M16—121no—
875C3×M16—121no—
876C2×C3×C8—121no—
877C3×C4⋊C4—61no—
878C3×C4⋊C4—61no—
879C3×C4⋊C4—61no—
880C3×C4⋊C4—61no—
881C3×C4⋊C4—61no—
882C3×C4⋊C4—61no—
883C3×C4⋊C4—61no—
884C3×C4⋊C4—61no—
885C3×C4⋊C4—61no—
886C3×C22⋊C4—21no—
887C3×C22⋊C4—21no—
888C3×C22⋊C4—21no—
889C3×C22⋊C4—21no—
890C3×C22⋊C4—21no—
891C3×C22⋊C4—21no—
892C3×C22⋊C4—21no—
893C3×C22⋊C4—21no—
894C3×C22⋊C4—21no—
895C3×C22⋊C4—21no—
896C3×C22⋊C4—21no—
897C3×C22⋊C4—21no—
898C3×C22⋊C4—31no—
899C3×C22⋊C4—31no—
900C3×C22⋊C4—41no—
901C3×C22⋊C4—41no—
902C3×C22⋊C4—41no—
903C3×C22⋊C4—41no—
904C3×C22⋊C4—41no—
905C3×C22⋊C4—61no—
906C3×C22⋊C4—61no—
907C3×C22⋊C4—61no—
908C3×C22⋊C4—61no—
909C3×C22⋊C4—61no—
910C3×C22⋊C4—61no—
911C3×C22⋊C4—61no—
912C3×C22⋊C4—61no—
913C3×C22⋊C4—61no—
914C3×C22⋊C4—61no—
915C3×C22⋊C4—61no—
916C3×C22⋊C4—61no—
917C3×C22⋊C4—61no—
918C3×C22⋊C4—61no—
919C3×C22⋊C4—61no—
920C3×C22⋊C4—61no—
921C3×C22⋊C4—61no—
922C3×C22⋊C4—61no—
923C3×C22⋊C4—61no—
924C3×C22⋊C4—61no—
925C3×C22⋊C4—121no—
926C3×C22⋊C4—121no—
927C3×C22⋊C4(C2×D3)⋊C411yescharacteristic
928C3×C22⋊C4(C2×D3)⋊C411yescharacteristic
929C3×C22⋊C4#21711yescharacteristic
930C3×C22⋊C4#21711yescharacteristic
931C3×C42—31no—
932C3×C42—31no—
933C3×C42—61no—
934C3×C42—61no—
935#217—21no—
936#217—21no—
937#217—21no—
938#217—21no—
939#217—21no—
940#217—21no—
941#217—21no—
942#217—21no—
943#217—21no—
944#217—21no—
945#217—21no—
946#217—21no—
947#217—21no—
948#217—21no—
949#217—41no—
950#217—41no—
951#217—62no—
952#217—62no—
953#217—122no—
954#217—122no—
955#217—122no—
956#217—121no—
957#217—121no—
958#217—121no—
959#217—121no—
960#217—122no—
961#217—122no—
962#217—121no—
963#217—121no—
964#217—121no—
965#217—121no—
966#217—244no—
967#217—244no—
968#217—248no—
969#217#21711yescharacteristic, complemented
970#217#21711yescharacteristic, complemented
971(C2×D3)⋊C4—21no—
972(C2×D3)⋊C4—21no—
973(C2×D3)⋊C4—21no—
974(C2×D3)⋊C4—21no—
975(C2×D3)⋊C4—21no—
976(C2×D3)⋊C4—21no—
977C4⋊Dic3—21no—
978C4⋊Dic3—21no—
979C4⋊Dic3—21no—
980C4⋊Dic3—121no—
981C4⋊Dic3—121no—
982C4⋊Dic3—122no—
983Dic3⋊C4—21no—
984Dic3⋊C4—21no—
985Dic3⋊C4—21no—
986Dic3⋊C4—21no—
987Dic3⋊C4—21no—
988Dic3⋊C4—21no—
989C4×Dic3—21no—
990C4×Dic3—21no—
991C4×Dic3—62no—
992C4×Dic3—62no—
993C4×Dic3—122no—
994C4×Dic3#21711yescharacteristic, complemented
995C4×Dic3#21711yescharacteristic, complemented
996#208—41no—
997#208—41no—
998C2×C3⋊C8—41no—
999C22×C32—21no—
1000C22×C32—21no—
1001C22×C32—22no—
1002C22×C32—21no—
1003C22×C32—21no—
1004C22×C32—41no—
1005C22×C32—42no—
1006C22×C32—41no—
1007C22×C32—42no—
1008C22×C32—42no—
1009C22×C32—41no—
1010C22×C32—41no—
1011C22×C32—41no—
1012C22×C32—41no—
1013C22×C32—41no—
1014C22×C32—41no—
1015C22×C32—41no—
1016C22×C32—41no—
1017C22×C32—81no—
1018C22×C32—81no—
1019C22×C32—82no—
1020C22×C32—82no—
1021C22×C32—81no—
1022C22×C32—84no—
1023C22×C32—81no—
1024C22×C32—81no—
1025C22×C32#37911yescharacteristic
1026C22×C32B(4,𝔽2)11yescharacteristic
1027C22×C32#45811yescharacteristic
1028C2×C3×D3—41no—
1029C2×C3×D3—41no—
1030C2×C3×D3—41no—
1031C2×C3×D3—41no—
1032C2×C3×D3—41no—
1033C2×C3×D3—41no—
1034C2×C3×D3—162no—
1035C2×C3×D3—161no—
1036C32×C4—21no—
1037C32×C4—21no—
1038C32×C4—41no—
1039C32×C4—41no—
1040C3⋊Dic3—82no—
1041C3⋊Dic3—161no—
1042C3×Dic3—41no—
1043C3×Dic3—41no—
1044C3×Dic3—41no—
1045C3×Dic3—41no—
1046C3×Dic3—41no—
1047C3×Dic3—41no—
1048C3×Dic3—161no—
1049C25#62611yescharacteristic
1050C2×#41—31no—
1051C2×#41—61no—
1052C22×D4—21no—
1053C22×D4—31no—
1054C22×D4—61no—
1055C22×D4—61no—
1056C22×D4—61no—
1057C22×D4—61no—
1058C22×D4C2×D3211yescharacteristic
1059C2×M16—61no—
1060#127—31no—
1061#127—31no—
1062#127—61no—
1063#126—61no—
1064#126—61no—
1065#126—61no—
1066#126—61no—
1067#124—31no—
1068#124—31no—
1069#124—61no—
1070#124—61no—
1071#124—61no—
1072#124—61no—
1073#124—61no—
1074#123—31no—
1075#123—31no—
1076#123—61no—
1077#123—61no—
1078#123—61no—
1079#123—61no—
1080#123—61no—
1081#123—61no—
1082#123—61no—
1083#123—61no—
1084C22⋊Q8—61no—
1085C22⋊Q8—61no—
1086C22⋊Q8—61no—
1087#121—61no—
1088#121—61no—
1089#121—61no—
1090#121—61no—
1091#121—61no—
1092#121—61no—
1093#121—61no—
1094#121—61no—
1095#121—61no—
1096#121—61no—
1097#121—61no—
1098#121—61no—
1099#121—61no—
1100#121—61no—
1101#121—61no—
1102#120—21no—
1103#120—21no—
1104#120—31no—
1105#120—31no—
1106#120—61no—
1107#120—61no—
1108#120—61no—
1109#120—61no—
1110#120—61no—
1111#120—61no—
1112#120—61no—
1113#120—61no—
1114#120—61no—
1115#120—61no—
1116#120—61no—
1117#120—61no—
1118#120D3×Dic311yescharacteristic
1119#120D3×Dic311yescharacteristic
1120#120#62511yescharacteristic
1121#120#62511yescharacteristic
1122C4×D4—61no—
1123C4×D4—61no—
1124C4×D4—61no—
1125C4×D4—61no—
1126C4×D4—61no—
1127C4×D4—61no—
1128C4×D4—362no—
1129#117—31no—
1130#117—61no—
1131#117—181no—
1132C2×C22⋊C4—21no—
1133C2×C22⋊C4—31no—
1134C2×C22⋊C4—61no—
1135C2×C22⋊C4—61no—
1136C2×C22⋊C4—61no—
1137C2×C22⋊C4—61no—
1138C2×C22⋊C4—61no—
1139C2×C22⋊C4—181no—
1140C2×C22⋊C4—181no—
1141C2×C22⋊C4—181no—
1142C2×C22⋊C4—362no—
1143C2×C22⋊C4#62611yescharacteristic
1144#104—362no—
1145#100—61no—
1146#100—61no—
1147#99—61no—
1148#99—61no—
1149#99—181no—
1150#99—181no—
1151#99—362no—
1152C23×C3—22no—
1153C23×C3—22no—
1154C23×C3—21no—
1155C23×C3—21no—
1156C23×C3—21no—
1157C23×C3—21no—
1158C23×C3—21no—
1159C23×C3—21no—
1160C23×C3—21no—
1161C23×C3—21no—
1162C23×C3—21no—
1163C23×C3—21no—
1164C23×C3—21no—
1165C23×C3—21no—
1166C23×C3—21no—
1167C23×C3—21no—
1168C23×C3—21no—
1169C23×C3—21no—
1170C23×C3—21no—
1171C23×C3—41no—
1172C23×C3—41no—
1173C23×C3—41no—
1174C23×C3—41no—
1175C23×C3—42no—
1176C23×C3—42no—
1177C23×C3—41no—
1178C23×C3—41no—
1179C23×C3—41no—
1180C23×C3—41no—
1181C23×C3—42no—
1182C23×C3—42no—
1183C23×C3—42no—
1184C23×C3—42no—
1185C23×C3—42no—
1186C23×C3—42no—
1187C23×C3—44no—
1188C23×C3—44no—
1189C23×C3—48no—
1190C23×C3—44no—
1191C23×C3—41no—
1192C23×C3—41no—
1193C23×C3—41no—
1194C23×C3—41no—
1195C23×C3—61no—
1196C23×C3—61no—
1197C23×C3—81no—
1198C23×C3—81no—
1199C23×C3—82no—
1200C23×C3—82no—
1201C23×C3—81no—
1202C23×C3—81no—
1203C23×C3—82no—
1204C23×C3—81no—
1205C23×C3—81no—
1206C23×C3—81no—
1207C23×C3—81no—
1208C23×C3—81no—
1209C23×C3—81no—
1210C23×C3—82no—
1211C23×C3—82no—
1212C23×C3—81no—
1213C23×C3—81no—
1214C23×C3—81no—
1215C23×C3—81no—
1216C23×C3—82no—
1217C23×C3—82no—
1218C23×C3—82no—
1219C23×C3—82no—
1220C23×C3—84no—
1221C23×C3—82no—
1222C23×C3—82no—
1223C23×C3—84no—
1224C23×C3—82no—
1225C23×C3—82no—
1226C23×C3—84no—
1227C23×C3—82no—
1228C23×C3—122no—
1229C23×C3—121no—
1230C23×C3—241no—
1231C23×C3—241no—
1232C23×C3—241no—
1233C23×C3D3×C22⋊C411yescharacteristic
1234C23×C3#88211yescharacteristic
1235C23×C3#88211yescharacteristic
1236C23×C3C2×(C2×D3)⋊C411yescharacteristic
1237C23×C3#93711yescharacteristic
1238C23×C3C2×#21711yescharacteristic
1239C23×C3C2×#21711yescharacteristic
1240C23×C3#95311yescharacteristic
1241C23×C3#95311yescharacteristic
1242C23×C3#95311yescharacteristic
1243C22×D3—21no—
1244C22×D3—21no—
1245C22×D3—42no—
1246C22×D3—41no—
1247C22×D3—81no—
1248C22×D3—81no—
1249C22×D3—81no—
1250C3×Q8—121no—
1251C3×Q8—241no—
1252C3×D4—41no—
1253C3×D4—41no—
1254C3×D4—41no—
1255C3×D4—41no—
1256C3×D4—41no—
1257C3×D4—41no—
1258C3×D4—41no—
1259C3×D4—41no—
1260C3×D4—42no—
1261C3×D4—42no—
1262C3×D4—42no—
1263C3×D4—42no—
1264C3×D4—42no—
1265C3×D4—42no—
1266C3×D4—42no—
1267C3×D4—42no—
1268C3×D4—82no—
1269C3×D4—82no—
1270C3×D4—81no—
1271C3×D4—81no—
1272C3×D4—81no—
1273C3×D4—81no—
1274C3×D4—82no—
1275C3×D4—82no—
1276C3×D4—121no—
1277C3×D4—122no—
1278C3×D4—122no—
1279C3×D4—121no—
1280C3×D4—121no—
1281C3×D4—121no—
1282C3×D4—121no—
1283C3×D4—241no—
1284C3×D4—241no—
1285C3×D4—241no—
1286C3×D4—241no—
1287C3×D4—241no—
1288C3×D4—241no—
1289C3×D4—241no—
1290C3×D4—241no—
1291C3×D4—241no—
1292C3×D4—241no—
1293C3×D4—241no—
1294C3×D4—241no—
1295C2×C3×C4—21no—
1296C2×C3×C4—21no—
1297C2×C3×C4—21no—
1298C2×C3×C4—21no—
1299C2×C3×C4—21no—
1300C2×C3×C4—21no—
1301C2×C3×C4—21no—
1302C2×C3×C4—21no—
1303C2×C3×C4—21no—
1304C2×C3×C4—21no—
1305C2×C3×C4—41no—
1306C2×C3×C4—41no—
1307C2×C3×C4—41no—
1308C2×C3×C4—41no—
1309C2×C3×C4—61no—
1310C2×C3×C4—61no—
1311C2×C3×C4—61no—
1312C2×C3×C4—61no—
1313C2×C3×C4—61no—
1314C2×C3×C4—61no—
1315C2×C3×C4—81no—
1316C2×C3×C4—81no—
1317C2×C3×C4—82no—
1318C2×C3×C4—122no—
1319C2×C3×C4—121no—
1320C2×C3×C4—241no—
1321C2×C3×C4—241no—
1322C2×C3×C4—241no—
1323C2×C3×C4—241no—
1324C2×C3×C4—241no—
1325C2×C3×C4—241no—
1326C2×C3×C4—241no—
1327C2×C3×C4—481no—
1328C2×C3×C4D3×C22⋊C411yescharacteristic
1329C2×C3×C4#93711yescharacteristic
1330C2×C3×C4C2×#21711yescharacteristic
1331C2×C3×C4#95311yescharacteristic
1332#67—42no—
1333#67—42no—
1334#67—41no—
1335#67—41no—
1336#67—41no—
1337#67—41no—
1338#67—81no—
1339#67—81no—
1340#67—81no—
1341#67—81no—
1342#67—81no—
1343#67—81no—
1344#67—81no—
1345#67—81no—
1346#67—81no—
1347#67—81no—
1348#67—81no—
1349C2×Dic3—21no—
1350C2×Dic3—21no—
1351C2×Dic3—21no—
1352C2×Dic3—21no—
1353C2×Dic3—21no—
1354C2×Dic3—21no—
1355C2×Dic3—42no—
1356C2×Dic3—41no—
1357C2×Dic3—81no—
1358C2×Dic3—81no—
1359C2×Dic3—81no—
1360C2×Dic3—81no—
1361C2×Dic3—124no—
1362C2×Dic3—122no—
1363C2×Dic3—122no—
1364C2×Dic3—161no—
1365C2×Dic3—244no—
1366C2×Dic3—242no—
1367C2×Dic3—242no—
1368C2×Dic3—242no—
1369C2×Dic3—241no—
1370C2×Dic3—241no—
1371C2×Dic3—244no—
1372C2×Dic3—242no—
1373C2×Dic3—242no—
1374C2×Dic3—481no—
1375C2×Dic3—481no—
1376C2×Dic3—482no—
1377D12—41no—
1378D12—81no—
1379C4×D3—81no—
1380C4×D3—81no—
1381C4×D3—81no—
1382Dic6—41no—
1383Dic6—81no—
1384C3×C8—241no—
1385C3⋊C8—81no—
1386C2×C32—21no—
1387C2×C32—21no—
1388C2×C32—21no—
1389C2×C32—41no—
1390C2×C32—41no—
1391C2×C32—41no—
1392C2×C32—42no—
1393C2×C32—41no—
1394C2×C32—81no—
1395C2×C32#179011yescharacteristic
1396C3×D3—81no—
1397C3×D3—81no—
1398C24—21no—
1399C24—21no—
1400C24—31no—
1401C24—41no—
1402C24—41no—
1403C24—61no—
1404C24—82no—
1405C24(C2×D3)⋊Dic311yescharacteristic
1406C24(C2×D3)⋊Dic311yescharacteristic
1407C24C2×#62611yescharacteristic
1408C24D3×#6711yescharacteristic
1409#41—121no—
1410#41—121no—
1411#41—242no—
1412C2×Q8—31no—
1413C2×Q8—61no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—31no—
1419C2×D4—41no—
1420C2×D4—41no—
1421C2×D4—61no—
1422C2×D4—61no—
1423C2×D4—61no—
1424C2×D4—61no—
1425C2×D4—61no—
1426C2×D4—61no—
1427C2×D4—61no—
1428C2×D4—61no—
1429C2×D4—61no—
1430C2×D4—61no—
1431C2×D4—61no—
1432C2×D4—61no—
1433C2×D4—61no—
1434C2×D4—61no—
1435C2×D4—61no—
1436C2×D4—61no—
1437C2×D4—82no—
1438C2×D4—121no—
1439C2×D4—121no—
1440C2×D4—242no—
1441C2×D4—242no—
1442C2×D4—242no—
1443C2×D4—241no—
1444C2×D4—241no—
1445C2×D4C2×D3×Dic311yescharacteristic
1446C2×D4C2×#62511yescharacteristic
1447C2×D4D3×#6711yescharacteristic
1448C2×D4D3×#6711yescharacteristic
1449C22×C4—21no—
1450C22×C4—31no—
1451C22×C4—61no—
1452C22×C4—61no—
1453C22×C4—61no—
1454C22×C4—61no—
1455C22×C4—61no—
1456C22×C4—61no—
1457C22×C4—61no—
1458C22×C4—121no—
1459C22×C4—182no—
1460C22×C4—361no—
1461C22×C4—361no—
1462C22×C4D3×#6711yescharacteristic
1463M16—121no—
1464M16—121no—
1465C2×C8—121no—
1466C4⋊C4—61no—
1467C4⋊C4—61no—
1468C4⋊C4—61no—
1469C4⋊C4—61no—
1470C4⋊C4—61no—
1471C4⋊C4—61no—
1472C4⋊C4—61no—
1473C4⋊C4—61no—
1474C4⋊C4—61no—
1475C4⋊C4—361no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—31no—
1482C22⋊C4—31no—
1483C22⋊C4—61no—
1484C22⋊C4—61no—
1485C22⋊C4—61no—
1486C22⋊C4—61no—
1487C22⋊C4—61no—
1488C22⋊C4—61no—
1489C22⋊C4—61no—
1490C22⋊C4—61no—
1491C22⋊C4—61no—
1492C22⋊C4—61no—
1493C22⋊C4—61no—
1494C22⋊C4—61no—
1495C22⋊C4—61no—
1496C22⋊C4—61no—
1497C22⋊C4—61no—
1498C22⋊C4—61no—
1499C22⋊C4—61no—
1500C22⋊C4—61no—
1501C22⋊C4—61no—
1502C22⋊C4—61no—
1503C22⋊C4—121no—
1504C22⋊C4—121no—
1505C22⋊C4—182no—
1506C22⋊C4—361no—
1507C22⋊C4—361no—
1508C22⋊C4—361no—
1509C22⋊C4—361no—
1510C22⋊C4—724no—
1511C22⋊C4(C2×D3)⋊Dic311yescharacteristic
1512C22⋊C4(C2×D3)⋊Dic311yescharacteristic
1513C42—31no—
1514C42—31no—
1515C42—61no—
1516C42—61no—
1517C42—182no—
1518C22×C3—22no—
1519C22×C3—22no—
1520C22×C3—22no—
1521C22×C3—22no—
1522C22×C3—21no—
1523C22×C3—21no—
1524C22×C3—21no—
1525C22×C3—21no—
1526C22×C3—21no—
1527C22×C3—21no—
1528C22×C3—21no—
1529C22×C3—21no—
1530C22×C3—21no—
1531C22×C3—21no—
1532C22×C3—21no—
1533C22×C3—41no—
1534C22×C3—41no—
1535C22×C3—42no—
1536C22×C3—41no—
1537C22×C3—41no—
1538C22×C3—41no—
1539C22×C3—41no—
1540C22×C3—41no—
1541C22×C3—41no—
1542C22×C3—41no—
1543C22×C3—41no—
1544C22×C3—41no—
1545C22×C3—41no—
1546C22×C3—41no—
1547C22×C3—44no—
1548C22×C3—42no—
1549C22×C3—42no—
1550C22×C3—42no—
1551C22×C3—41no—
1552C22×C3—41no—
1553C22×C3—41no—
1554C22×C3—41no—
1555C22×C3—41no—
1556C22×C3—42no—
1557C22×C3—42no—
1558C22×C3—41no—
1559C22×C3—41no—
1560C22×C3—42no—
1561C22×C3—44no—
1562C22×C3—44no—
1563C22×C3—42no—
1564C22×C3—42no—
1565C22×C3—41no—
1566C22×C3—41no—
1567C22×C3—81no—
1568C22×C3—81no—
1569C22×C3—81no—
1570C22×C3—81no—
1571C22×C3—81no—
1572C22×C3—81no—
1573C22×C3—81no—
1574C22×C3—81no—
1575C22×C3—81no—
1576C22×C3—81no—
1577C22×C3—81no—
1578C22×C3—81no—
1579C22×C3—81no—
1580C22×C3—81no—
1581C22×C3—82no—
1582C22×C3—82no—
1583C22×C3—82no—
1584C22×C3—82no—
1585C22×C3—82no—
1586C22×C3—84no—
1587C22×C3—82no—
1588C22×C3—81no—
1589C22×C3—81no—
1590C22×C3—84no—
1591C22×C3—84no—
1592C22×C3—81no—
1593C22×C3—81no—
1594C22×C3—84no—
1595C22×C3—82no—
1596C22×C3—88no—
1597C22×C3—82no—
1598C22×C3—121no—
1599C22×C3—121no—
1600C22×C3—121no—
1601C22×C3—121no—
1602C22×C3—121no—
1603C22×C3—121no—
1604C22×C3—161no—
1605C22×C3—481no—
1606C22×C3—482no—
1607C22×C3#474111yescharacteristic
1608C22×C3#474211yescharacteristic
1609C22×C3#495511yescharacteristic
1610C22×C3#524311yescharacteristic
1611C22×C3#524411yescharacteristic
1612C22×C3#524711yescharacteristic
1613C2×D3—41no—
1614C2×D3—41no—
1615C2×D3—41no—
1616C2×D3—41no—
1617C2×D3—41no—
1618C2×D3—41no—
1619C2×D3—162no—
1620C2×D3—161no—
1621C3×C4—21no—
1622C3×C4—21no—
1623C3×C4—21no—
1624C3×C4—21no—
1625C3×C4—41no—
1626C3×C4—41no—
1627C3×C4—41no—
1628C3×C4—41no—
1629C3×C4—41no—
1630C3×C4—41no—
1631C3×C4—81no—
1632C3×C4—81no—
1633C3×C4—121no—
1634C3×C4—121no—
1635C3×C4—121no—
1636C3×C4—121no—
1637C3×C4—121no—
1638C3×C4—121no—
1639C3×C4—481no—
1640Dic3—41no—
1641Dic3—41no—
1642Dic3—41no—
1643Dic3—41no—
1644Dic3—41no—
1645Dic3—41no—
1646Dic3—161no—
1647Dic3—244no—
1648Dic3—242no—
1649Dic3—242no—
1650Dic3—482no—
1651Dic3—481no—
1652Dic3—481no—
1653C32#1275311yescharacteristic, complemented, Sylow
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—42no—
1661C23—41no—
1662C23—41no—
1663C23—42no—
1664C23—42no—
1665C23—44no—
1666C23—41no—
1667C23—41no—
1668C23—61no—
1669C23—61no—
1670C23—81no—
1671C23—81no—
1672C23—81no—
1673C23—81no—
1674C23—81no—
1675C23—81no—
1676C23—82no—
1677C23—82no—
1678C23—82no—
1679C23—122no—
1680C23—121no—
1681C23—241no—
1682C23—241no—
1683C23—241no—
1684C23C2×(C2×D3)⋊Dic311yescharacteristic
1685C23D3×#21711yescharacteristic
1686C23#6397611yescharacteristic
1687C23#6397711yescharacteristic
1688C23#6397711yescharacteristic
1689Q8—121no—
1690Q8—241no—
1691D4—41no—
1692D4—41no—
1693D4—41no—
1694D4—41no—
1695D4—42no—
1696D4—42no—
1697D4—81no—
1698D4—81no—
1699D4—121no—
1700D4—122no—
1701D4—122no—
1702D4—121no—
1703D4—121no—
1704D4—121no—
1705D4—121no—
1706D4—241no—
1707D4—241no—
1708D4—241no—
1709D4—241no—
1710D4—241no—
1711D4—241no—
1712D4—241no—
1713D4—241no—
1714D4—241no—
1715D4—241no—
1716D4—241no—
1717D4—241no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—61no—
1723C2×C4—61no—
1724C2×C4—61no—
1725C2×C4—61no—
1726C2×C4—61no—
1727C2×C4—61no—
1728C2×C4—81no—
1729C2×C4—122no—
1730C2×C4—121no—
1731C2×C4—241no—
1732C2×C4—241no—
1733C2×C4—241no—
1734C2×C4—241no—
1735C2×C4—241no—
1736C2×C4—241no—
1737C2×C4—241no—
1738C2×C4—362no—
1739C2×C4—481no—
1740C2×C4—722no—
1741C2×C4—721no—
1742C2×C4—722no—
1743C2×C4—1441no—
1744C2×C4D3×#21711yescharacteristic
1745C2×C4#6397611yescharacteristic
1746C8—241no—
1747C2×C3—22no—
1748C2×C3—21no—
1749C2×C3—21no—
1750C2×C3—21no—
1751C2×C3—21no—
1752C2×C3—21no—
1753C2×C3—21no—
1754C2×C3—21no—
1755C2×C3—41no—
1756C2×C3—41no—
1757C2×C3—42no—
1758C2×C3—42no—
1759C2×C3—41no—
1760C2×C3—41no—
1761C2×C3—42no—
1762C2×C3—41no—
1763C2×C3—41no—
1764C2×C3—41no—
1765C2×C3—41no—
1766C2×C3—41no—
1767C2×C3—42no—
1768C2×C3—41no—
1769C2×C3—82no—
1770C2×C3—81no—
1771C2×C3—81no—
1772C2×C3—82no—
1773C2×C3—81no—
1774C2×C3—81no—
1775C2×C3—241no—
1776C2×C3—241no—
1777C2×C3#7003311yescharacteristic
1778C2×C3#7214211yescharacteristic
1779D3—81no—
1780D3—81no—
1781C22—22no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—21no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—42no—
1793C22—41no—
1794C22—41no—
1795C22—42no—
1796C22—41no—
1797C22—42no—
1798C22—41no—
1799C22—81no—
1800C22—81no—
1801C22—81no—
1802C22—82no—
1803C22—82no—
1804C22—81no—
1805C22—84no—
1806C22—81no—
1807C22—121no—
1808C22—121no—
1809C22—121no—
1810C22—121no—
1811C22—121no—
1812C22—121no—
1813C22—481no—
1814C22—482no—
1815C22#1059153111yescharacteristic
1816C22#1059153411yescharacteristic
1817C22#1059170611yescharacteristic
1818C4—21no—
1819C4—21no—
1820C4—41no—
1821C4—41no—
1822C4—121no—
1823C4—121no—
1824C4—121no—
1825C4—121no—
1826C4—121no—
1827C4—121no—
1828C4—481no—
1829C4—722no—
1830C4—1441no—
1831C3—21no—
1832C3#1071094611yescharacteristic, complemented
1833C3#1071094811yescharacteristic, complemented
1834C2—21no—
1835C2—21no—
1836C2—21no—
1837C2—41no—
1838C2—41no—
1839C2—41no—
1840C2—42no—
1841C2—41no—
1842C2—81no—
1843C2—241no—
1844C2—241no—
1845C2#1178482511yescharacteristic
subgroupG/H
centerC2#11784825
commutatorC2×C32×D4C22×C4
FrattiniC22×D4C2×D32
FittingC2×C32×#120C22
socleC2×C32#1790
prime radicalC3×#85921C2
cosocleC22×C32×D4C23
hypercenterC2×#120D32
hypocenterC32#12753
LCSG ▷ C2×C32×D4 ▷ C22×C32 ▷ C2×C32 ▷ C32
UCSC1 ◁ C2 ◁ C23 ◁ C22×D4 ◁ C2×#120

Complements

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

NH ≅ G/Ntype
2. #11796401C2semidirect
3. #11796245C2semidirect
4. C2×C3×#4536C2semidirect
5. #11788856C2semidirect
6. #11788790C2semidirect
7. #11787933C2semidirect
11. #10596269C22semidirect
18. C3×#5595C4semidirect
19. C3×#5594C4semidirect
24. C3×#5590C4semidirect
26. C3×#5587C4semidirect
31. C2×#63661C22semidirect
32. C2×C3×#834C22semidirect
33. C2×C3×#833C22semidirect
55. C2×#4536D3semidirect
194. #5595Dic3semidirect
195. #5594Dic3semidirect
200. #5590Dic3semidirect
202. #5587Dic3semidirect
216. C2×#834C2×D3semidirect
217. C2×#833C2×D3semidirect
249. C23×C3×D3C22⋊C4semidirect
292. C22×C3×Dic3C22⋊C4semidirect
298. C2×C3×D12C22⋊C4semidirect
303. C2×C3×Dic6C22⋊C4semidirect
335. C3×#217C22⋊C4semidirect
336. C3×#217C22⋊C4semidirect
354. C3×C4×Dic3C22⋊C4semidirect
355. C3×C4×Dic3C22⋊C4semidirect
749. C23×D3#217semidirect
862. C22×Dic3#217semidirect
868. C2×D12#217semidirect
873. C2×Dic6#217semidirect
969. #217#217semidirect
970. #217#217semidirect
994. C4×Dic3#217semidirect
995. C4×Dic3#217semidirect
1653. C32#12753semidirect
1832. C3#10710946semidirect
1833. C3#10710948semidirect

Maximal subgroups

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

subgroupindex
C3×#859212
#117964012
#117962452
C2×C3×#45362
#117888562
#117887902
#117879332
#107109483
#107109463