Finite Group Databasebeta

← C2×#11724582 #13181608

Subgroups — C2×#11724582 #13181608

Order 1728.

5420 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#89078C211yesmaximal, characteristic, complemented
2C2×C3×#3830C211yesmaximal, characteristic, complemented
3C2×C32×#237C211yesmaximal, characteristic, complemented
4C22×#6293C212yesmaximal, complemented
5C2×#89031C212yesmaximal, complemented
6C2×#89029C212yesmaximal, complemented
7C2×#89028C212yesmaximal, complemented
8#11724582C2116yesmaximal, direct product factor
9C2×#89020C211yesmaximal, characteristic, complemented
10C2×#89019C211yesmaximal, characteristic, complemented
11C2×C3⋊D3×Dic6C211yesmaximal, characteristic, complemented
12C2×D3×#634C211yesmaximal, characteristic, complemented
13C2×#64367—31nomaximal
14C2×#64309—34nomaximal
15C2×C33×D4C2211yescharacteristic
16C2×#6312C2212yes—
17C22×C3⋊(C3⋊Dic3)C2212yes—
18#89078C2218yescomplemented
19C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic
20C2×#6308C2211yescharacteristic
21C2×C3×#638C2212yes—
22C22×C3×C3⋊Dic3C2212yes—
23C3×#3830C2218yescomplemented
24C2×C3×C4×C3⋊D3C2211yescharacteristic
25C2×C3×#634C2211yescharacteristic
26C2×C32×#67C2212yes—
27C22×C32×Dic3C2212yes—
28C32×#237C2218yescomplemented
29C2×C32×C4×D3C2211yescharacteristic
30C2×C32×Dic6C2211yescharacteristic
31C2×#6293C2212yes—
32C2×#6293C2212yes—
33C2×#6293C2212yes—
34C2×#6293C2211yescharacteristic
35C2×#6293C22116yescomplemented
36C2×#6292C2211yescharacteristic
37C2×#6291C2211yescharacteristic
38C2×#6290C2211yescharacteristic
39C2×#6289C2212yes—
40#89031C22116yescomplemented
41C2×Dic3×C3⋊D3C2212yes—
42#89029C22116yescomplemented
43#89028C22116yescomplemented
44C2×D3×C3⋊Dic3C2212yes—
45#89020C2218yescomplemented
46#89019C2218yescomplemented
47C3⋊D3×Dic6C2218yescomplemented
48D3×#634C2218yescomplemented
49C2×C32×#41—31no—
50#64367—316no—
51C2×Q8×C3⋊D3—31no—
52C2×Q8×C3⋊D3—31no—
53C2×#3830—31no—
54C2×#3830—32no—
55C2×#3830—32no—
56C2×#3830—34no—
57C2×#3830—64no—
58C2×#3830D311yescharacteristic, complemented
59C2×#3828—32no—
60C2×#3828—31no—
61C22×#634—32no—
62C22×#634—31no—
63C2×C3×#237—34no—
64C2×C3×#237D314yescomplemented
65C22×#627—38no—
66C2×#3805—38no—
67C2×#3804—38no—
68C2×#3804—38no—
69#64309—364no—
70C2×#3798—34no—
71C2×#3797—34no—
72C2×D3×Dic6—34no—
73C2×D3×Dic6—34no—
74C23×C33C2312yes—
75C22×C3⋊(C3⋊D3)C2311yescharacteristic
76C22×C3×C3⋊D3C2311yescharacteristic
77C22×C32×D3C2311yescharacteristic
78C33×D4C2314yes—
79C2×C33×C4C2311yescharacteristic
80#6312C2318yes—
81C2×C3⋊(C3⋊Dic3)C2312yes—
82C2×C3⋊(C3⋊Dic3)C2318yes—
83C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
84C4×C3⋊(C3⋊D3)C2314yes—
85#6308C2314yes—
86C3×#638C2318yes—
87C2×C3×C3⋊Dic3C2312yes—
88C2×C3×C3⋊Dic3C2318yes—
89C2×C3×C3⋊Dic3C2311yescharacteristic
90C3×C4×C3⋊D3C2314yes—
91C3×#634C2314yes—
92C32×#67C2318yes—
93C2×C32×Dic3C2312yes—
94C2×C32×Dic3C2318yes—
95C2×C32×Dic3C2311yescharacteristic
96C32×C4×D3C2314yes—
97C32×Dic6C2314yes—
98#6293C2318yes—
99#6293C2318yes—
100#6293C2318yes—
101#6293C2314yes—
102#6292C2314yes—
103#6291C2314yes—
104#6290C2314yes—
105#6289C2318yes—
106Dic3×C3⋊D3C2318yes—
107D3×C3⋊Dic3C2318yes—
108C2×#1010—94no—
109C2×#1010—91no—
110C32×#41—38no—
111C2×C32×Q8—31no—
112C2×C32×D4—24no—
113C2×C32×D4—32no—
114C2×C32×D4C2×D314yes—
115C2×C32×D4C2×D311yescharacteristic
116C22×C32×C4—32no—
117C22×C32×C4—31no—
118C2×#638—32no—
119C2×#638—38no—
120C2×#638—31no—
121C2×#638—31no—
122C2×#638—68no—
123C2×#638C2×D312yes—
124C22×C3⋊Dic3—32no—
125C22×C3⋊Dic3—38no—
126C22×C3⋊Dic3—32no—
127C22×C3⋊Dic3—68no—
128C22×C3⋊Dic3C2×D312yes—
129Q8×C3⋊D3—38no—
130Q8×C3⋊D3—38no—
131#3830—38no—
132#3830—332no—
133#3830—316no—
134#3830—316no—
135#3830—632no—
136#3830C2×D318yescomplemented
137#3828—316no—
138#3828—38no—
139C2×C4⋊(C3⋊D3)—31no—
140C2×C4×C3⋊D3—32no—
141C2×C4×C3⋊D3—31no—
142C2×C4×C3⋊D3—34no—
143C2×C4×C3⋊D3—32no—
144C2×C4×C3⋊D3—64no—
145C2×C4×C3⋊D3C2×D311yescharacteristic
146C2×#634—31no—
147C2×#634—34no—
148C2×#634—31no—
149C2×#634—32no—
150C2×#634—32no—
151C2×#634—32no—
152C2×#634—316no—
153C2×#634—38no—
154C2×#634—64no—
155C2×#634C2×D311yescharacteristic
156C2×C3×#67—38no—
157C2×C3×#67C2×D318yes—
158C22×C3×Dic3—38no—
159C22×C3×Dic3C2×D318yes—
160C3×#237—332no—
161C3×#237C2×D3132yescomplemented
162C2×C3×C4×D3—34no—
163C2×C3×C4×D3C2×D314yes—
164C2×C3×Dic6—34no—
165C2×C3×Dic6C2×D314yes—
166C2×#627—38no—
167C2×#627—38no—
168C2×#627—38no—
169C2×#627—34no—
170C2×#627—364no—
171C2×#626—34no—
172C2×#626—34no—
173C2×#625—34no—
174C2×#624—38no—
175#3805—364no—
176#3804—364no—
177#3804—364no—
178C2×D3×Dic3—38no—
179C2×D3×Dic3—38no—
180#3798—332no—
181#3797—332no—
182D3×Dic6—332no—
183D3×Dic6—332no—
184C22×C33—24no—
185C22×C33C2414yes—
186C22×C33C2411yescharacteristic
187C2×C3⋊(C3⋊D3)—22no—
188C2×C3⋊(C3⋊D3)C2412yes—
189C2×C3×C3⋊D3—22no—
190C2×C3×C3⋊D3C2412yes—
191C2×C32×D3—22no—
192C2×C32×D3C2412yes—
193C33×C4C2412yes—
194C3⋊(C3⋊Dic3)C2414yes—
195C3⋊(C3⋊Dic3)C2412yes—
196C3×C3⋊Dic3C2414yes—
197C3×C3⋊Dic3C2412yes—
198C32×Dic3C2414yes—
199C32×Dic3C2412yes—
200C2×C3×#41—34no—
201C2×C3×#41—91no—
202#1010—964no—
203#1010—916no—
204C2×D3×Q8—94no—
205C2×D3×Q8—94no—
206C2×D3×Q8—91no—
207C2×D3×Q8—91no—
208C2×#237—34no—
209C2×#237—98no—
210C2×#237—98no—
211C2×#237—94no—
212C2×#237—91no—
213C2×#237—92no—
214C2×#237—92no—
215C2×#237—184no—
216C2×#237C3⋊D311yescharacteristic, complemented
217C2×#235—94no—
218C2×#235—98no—
219C2×#235—92no—
220C2×#235—91no—
221C22×Dic6—94no—
222C22×Dic6—98no—
223C22×Dic6—92no—
224C22×Dic6—91no—
225C23×C32—28no—
226C23×C32—31no—
227C23×C32C22×D318yes—
228C23×C32C22×D312yes—
229C22×C3⋊D3—31no—
230C22×C3⋊D3—34no—
231C22×C3⋊D3—64no—
232C22×C3⋊D3C22×D311yescharacteristic
233C22×C3×D3—34no—
234C22×C3×D3C22×D314yes—
235C32×Q8—34no—
236C32×D4—216no—
237C32×D4—38no—
238C32×D4C22×D3116yes—
239C32×D4C22×D314yes—
240C2×C32×C4—24no—
241C2×C32×C4—31no—
242C2×C32×C4—32no—
243C2×C32×C4—38no—
244C2×C32×C4—34no—
245C2×C32×C4C22×D314yes—
246C2×C32×C4C22×D311yescharacteristic
247#638—38no—
248#638—34no—
249#638—34no—
250#638—332no—
251#638—632no—
252#638C22×D318yes—
253C2×C3⋊Dic3—32no—
254C2×C3⋊Dic3—31no—
255C2×C3⋊Dic3—38no—
256C2×C3⋊Dic3—38no—
257C2×C3⋊Dic3—38no—
258C2×C3⋊Dic3—332no—
259C2×C3⋊Dic3—34no—
260C2×C3⋊Dic3—68no—
261C2×C3⋊Dic3—64no—
262C2×C3⋊Dic3—632no—
263C2×C3⋊Dic3C22×D311yescharacteristic
264C2×C3⋊Dic3C22×D312yes—
265C2×C3⋊Dic3C22×D318yes—
266C4⋊(C3⋊D3)—34no—
267C4×C3⋊D3—38no—
268C4×C3⋊D3—34no—
269C4×C3⋊D3—38no—
270C4×C3⋊D3—316no—
271C4×C3⋊D3—616no—
272C4×C3⋊D3C22×D314yes—
273#634—34no—
274#634—34no—
275#634—38no—
276#634—38no—
277#634—38no—
278#634—316no—
279#634—616no—
280#634C22×D314yes—
281C3×#67—332no—
282C3×#67C22×D3132yes—
283C2×C3×Dic3—38no—
284C2×C3×Dic3—332no—
285C2×C3×Dic3—34no—
286C2×C3×Dic3C22×D318yes—
287C2×C3×Dic3C22×D3132yes—
288C2×C3×Dic3C22×D314yes—
289C3×C4×D3—316no—
290C3×C4×D3C22×D3116yes—
291C3×Dic6—316no—
292C3×Dic6C22×D3116yes—
293#627—332no—
294#627—332no—
295#627—332no—
296#627—316no—
297#626—316no—
298#626—316no—
299#625—316no—
300#624—332no—
301D3×Dic3—332no—
302D3×Dic3—332no—
303C2×2−1+4—271noSylow
304C2×C33—24no—
305C2×C332−1+412yescomplemented
306C2×C33C2511yescharacteristic
307C3⋊(C3⋊D3)—22no—
308C3×C3⋊D3—22no—
309C32×D3—22no—
310C3×#41—332no—
311C3×#41—98no—
312C2×C3×Q8—34no—
313C2×C3×Q8—91no—
314C2×C3×D4—24no—
315C2×C3×D4—38no—
316C2×C3×D4—92no—
317C2×C3×D4D3214yes—
318C2×C3×D4C2×C3⋊D311yescharacteristic
319C22×C3×C4—38no—
320C22×C3×C4—34no—
321C22×C3×C4—92no—
322C22×C3×C4—91no—
323C2×#67—38no—
324C2×#67—94no—
325C2×#67—94no—
326C2×#67—98no—
327C2×#67—92no—
328C2×#67—91no—
329C2×#67—91no—
330C2×#67—188no—
331C2×#67C2×C3⋊D312yes—
332C22×Dic3—38no—
333C22×Dic3—98no—
334C22×Dic3—98no—
335C22×Dic3—92no—
336C22×Dic3—92no—
337C22×Dic3—188no—
338C22×Dic3C2×C3⋊D312yes—
339D3×Q8—932no—
340D3×Q8—932no—
341D3×Q8—98no—
342D3×Q8—98no—
343#237—332no—
344#237—964no—
345#237—964no—
346#237—932no—
347#237—98no—
348#237—916no—
349#237—916no—
350#237—1832no—
351#237C2×C3⋊D318yescomplemented
352#235—932no—
353#235—964no—
354#235—916no—
355#235—98no—
356C2×D12—94no—
357C2×D12—91no—
358C2×C4×D3—34no—
359C2×C4×D3—98no—
360C2×C4×D3—98no—
361C2×C4×D3—92no—
362C2×C4×D3—94no—
363C2×C4×D3—91no—
364C2×C4×D3—92no—
365C2×C4×D3—184no—
366C2×C4×D3C2×C3⋊D311yescharacteristic
367C2×Dic6—34no—
368C2×Dic6—932no—
369C2×Dic6—98no—
370C2×Dic6—94no—
371C2×Dic6—98no—
372C2×Dic6—98no—
373C2×Dic6—964no—
374C2×Dic6—94no—
375C2×Dic6—91no—
376C2×Dic6—91no—
377C2×Dic6—92no—
378C2×Dic6—92no—
379C2×Dic6—92no—
380C2×Dic6—916no—
381C2×Dic6—98no—
382C2×Dic6—184no—
383C2×Dic6C2×C3⋊D311yescharacteristic
384C22×C32—24no—
385C22×C32—24no—
386C22×C32—216no—
387C22×C32—216no—
388C22×C32—32no—
389C22×C32—416no—
390C22×C32—62no—
391C22×C32C23×D3116yes—
392C22×C32C23×D314yes—
393C22×C32C23×D314yes—
394C22×C32C23×D311yescharacteristic
395C2×C3⋊D3—22no—
396C2×C3⋊D3—32no—
397C2×C3⋊D3—38no—
398C2×C3⋊D3—68no—
399C2×C3⋊D3—62no—
400C2×C3⋊D3—68no—
401C2×C3⋊D3—128no—
402C2×C3⋊D3C23×D312yes—
403C2×C3×D3—28no—
404C2×C3×D3—38no—
405C2×C3×D3—68no—
406C2×C3×D3C23×D318yes—
407C32×C4—28no—
408C32×C4—32no—
409C32×C4—34no—
410C32×C4C23×D318yes—
411C32×C4C23×D312yes—
412C3⋊Dic3—34no—
413C3⋊Dic3—32no—
414C3⋊Dic3—316no—
415C3⋊Dic3—38no—
416C3⋊Dic3—616no—
417C3⋊Dic3—68no—
418C3⋊Dic3C23×D312yes—
419C3⋊Dic3C23×D314yes—
420C3×Dic3—316no—
421C3×Dic3—38no—
422C3×Dic3C23×D3116yes—
423C3×Dic3C23×D318yes—
4242−1+4—2716no—
425C2×#41—31no—
426C2×#41—91no—
427C2×#41—271no—
428C2×#41—272no—
429C2×#41—272no—
430C2×#41—272no—
431C2×#41—271no—
432C22×Q8—272no—
433C22×Q8—271no—
434C22×Q8—271no—
435C22×Q8—271no—
436C33C2×2−1+411yescharacteristic, complemented, Sylow
437C23×C3—28no—
438C23×C3—34no—
439C23×C3—91no—
440C23×C3C2×D3218yes—
441C23×C3C22×C3⋊D312yes—
442C22×D3—34no—
443C22×D3—94no—
444C22×D3—91no—
445C22×D3—184no—
446C22×D3C22×C3⋊D311yescharacteristic
447C3×Q8—316no—
448C3×Q8—94no—
449C3×D4—216no—
450C3×D4—332no—
451C3×D4—98no—
452C3×D4C2×D32116yes—
453C3×D4C22×C3⋊D314yes—
454C2×C3×C4—24no—
455C2×C3×C4—34no—
456C2×C3×C4—38no—
457C2×C3×C4—332no—
458C2×C3×C4—316no—
459C2×C3×C4—91no—
460C2×C3×C4—92no—
461C2×C3×C4—98no—
462C2×C3×C4—94no—
463C2×C3×C4C2×D3214yes—
464C2×C3×C4C22×C3⋊D311yescharacteristic
465#67—332no—
466#67—916no—
467#67—916no—
468#67—932no—
469#67—98no—
470#67—94no—
471#67—94no—
472#67—1832no—
473#67C22×C3⋊D318yes—
474C2×Dic3—38no—
475C2×Dic3—34no—
476C2×Dic3—332no—
477C2×Dic3—932no—
478C2×Dic3—98no—
479C2×Dic3—94no—
480C2×Dic3—932no—
481C2×Dic3—92no—
482C2×Dic3—91no—
483C2×Dic3—98no—
484C2×Dic3—98no—
485C2×Dic3—188no—
486C2×Dic3—184no—
487C2×Dic3—1832no—
488C2×Dic3C22×C3⋊D311yescharacteristic
489C2×Dic3C22×C3⋊D312yes—
490C2×Dic3C22×C3⋊D318yes—
491D12—916no—
492D12—94no—
493C4×D3—316no—
494C4×D3—932no—
495C4×D3—932no—
496C4×D3—98no—
497C4×D3—916no—
498C4×D3—94no—
499C4×D3—98no—
500C4×D3—1816no—
501C4×D3C22×C3⋊D314yes—
502Dic6—316no—
503Dic6—932no—
504Dic6—916no—
505Dic6—932no—
506Dic6—932no—
507Dic6—916no—
508Dic6—94no—
509Dic6—94no—
510Dic6—98no—
511Dic6—98no—
512Dic6—98no—
513Dic6—1816no—
514Dic6C22×C3⋊D314yes—
515C2×C32—24no—
516C2×C32—28no—
517C2×C32—24no—
518C2×C32—216no—
519C2×C32—416no—
520C2×C32—62no—
521C2×C32#101018yescomplemented
522C2×C32#101012yescomplemented
523C2×C32C24×D314yes—
524C2×C32C24×D311yescharacteristic
525C3⋊D3—22no—
526C3⋊D3—62no—
527C3⋊D3—68no—
528C3⋊D3—128no—
529C3×D3—28no—
530C3×D3—68no—
531#41—38no—
532#41—98no—
533#41—278no—
534#41—2716no—
535#41—2716no—
536#41—2716no—
537#41—278no—
538C2×Q8—31no—
539C2×Q8—91no—
540C2×Q8—271no—
541C2×Q8—272no—
542C2×Q8—272no—
543C2×Q8—272no—
544C2×Q8—2716no—
545C2×Q8—278no—
546C2×Q8—278no—
547C2×Q8—278no—
548C2×Q8—271no—
549C2×D4—32no—
550C2×D4—92no—
551C2×D4—271no—
552C2×D4—271no—
553C2×D4—271no—
554C2×D4—272no—
555C2×D4D3×C3⋊D311yescharacteristic
556C22×C4—32no—
557C22×C4—31no—
558C22×C4—92no—
559C22×C4—91no—
560C22×C4—272no—
561C22×C4—272no—
562C22×C4—272no—
563C22×C4—272no—
564C22×C4—271no—
565C22×C3—216no—
566C22×C3—24no—
567C22×C3—216no—
568C22×C3—24no—
569C22×C3—38no—
570C22×C3—416no—
571C22×C3—68no—
572C22×C3—92no—
573C22×C3—182no—
574C22×C3C22×D32116yes—
575C22×C3C22×D3214yes—
576C22×C3C23×C3⋊D314yes—
577C22×C3C23×C3⋊D311yescharacteristic
578C2×D3—22no—
579C2×D3—38no—
580C2×D3—68no—
581C2×D3—98no—
582C2×D3—92no—
583C2×D3—188no—
584C2×D3—188no—
585C2×D3—182no—
586C2×D3—368no—
587C2×D3C23×C3⋊D312yes—
588C3×C4—28no—
589C3×C4—38no—
590C3×C4—316no—
591C3×C4—92no—
592C3×C4—94no—
593C3×C4C22×D3218yes—
594C3×C4C23×C3⋊D312yes—
595Dic3—316no—
596Dic3—38no—
597Dic3—98no—
598Dic3—916no—
599Dic3—94no—
600Dic3—92no—
601Dic3—1816no—
602Dic3—188no—
603Dic3C23×C3⋊D312yes—
604Dic3C23×C3⋊D314yes—
605C32—24no—
606C32C2×#101014yescomplemented
607C32C2×#101011yescharacteristic, complemented
608C23—31no—
609C23—91no—
610C23—271no—
611C23C2×D3×C3⋊D312yes—
612Q8—34no—
613Q8—94no—
614Q8—274no—
615Q8—278no—
616Q8—278no—
617Q8—278no—
618Q8—274no—
619D4—38no—
620D4—98no—
621D4—274no—
622D4—274no—
623D4—274no—
624D4—278no—
625D4C2×D3×C3⋊D314yes—
626C2×C4—38no—
627C2×C4—31no—
628C2×C4—32no—
629C2×C4—34no—
630C2×C4—98no—
631C2×C4—91no—
632C2×C4—92no—
633C2×C4—94no—
634C2×C4—278no—
635C2×C4—278no—
636C2×C4—278no—
637C2×C4—278no—
638C2×C4—272no—
639C2×C4—271no—
640C2×C4—274no—
641C2×C4C2×D3×C3⋊D311yescharacteristic
642C2×C3—216no—
643C2×C3—24no—
644C2×C3—28no—
645C2×C3—24no—
646C2×C3—416no—
647C2×C3—68no—
648C2×C3—182no—
649C2×C3#6430918yescomplemented
650C2×C3#6436712yescomplemented
651C2×C3C23×D3214yes—
652C2×C3C24×C3⋊D311yescharacteristic
653D3—22no—
654D3—68no—
655D3—188no—
656D3—182no—
657D3—368no—
658C22—24no—
659C22—32no—
660C22—62no—
661C22—92no—
662C22—182no—
663C22—272no—
664C22—542no—
665C22C22×D3×C3⋊D314yes—
666C22C22×D3×C3⋊D311yescharacteristic
667C4—32no—
668C4—34no—
669C4—92no—
670C4—94no—
671C4—274no—
672C4—272no—
673C4C22×D3×C3⋊D312yes—
674C3—24no—
675C3C2×#6430914yescomplemented
676C3C2×#6436711yescharacteristic, complemented
677C2—24no—
678C2—62no—
679C2—182no—
680C2—542no—
681C2#1172458212yesdirect product factor
682C2C23×D3×C3⋊D311yescharacteristic
subgroupG/H
centerC22C22×D3×C3⋊D3
commutator, cosocleC2×C33C25
FrattiniC2C23×D3×C3⋊D3
FittingC2×C33×D4C22
socleC22×C33C24
hypercenterC2×D4D3×C3⋊D3
hypocenterC33C2×2−1+4
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×D4

Complements

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

NH ≅ G/Ntype
1. C2×#89078C2semidirect
2. C2×C3×#3830C2semidirect
3. C2×C32×#237C2semidirect
4. C22×#6293C2semidirect
5. C2×#89031C2semidirect
6. C2×#89029C2semidirect
7. C2×#89028C2semidirect
8. #11724582C2direct (N × H)
9. C2×#89020C2semidirect
10. C2×#89019C2semidirect
11. C2×C3⋊D3×Dic6C2semidirect
12. C2×D3×#634C2semidirect
18. #89078C22semidirect
23. C3×#3830C22semidirect
28. C32×#237C22semidirect
35. C2×#6293C22semidirect
40. #89031C22semidirect
42. #89029C22semidirect
43. #89028C22semidirect
45. #89020C22semidirect
46. #89019C22semidirect
47. C3⋊D3×Dic6C22semidirect
48. D3×#634C22semidirect
58. C2×#3830D3semidirect
64. C2×C3×#237D3semidirect
136. #3830C2×D3semidirect
161. C3×#237C2×D3semidirect
216. C2×#237C3⋊D3semidirect
305. C2×C332−1+4semidirect
351. #237C2×C3⋊D3semidirect
436. C33C2×2−1+4semidirect
521. C2×C32#1010semidirect
522. C2×C32#1010semidirect
606. C32C2×#1010semidirect
607. C32C2×#1010semidirect
649. C2×C3#64309semidirect
650. C2×C3#64367semidirect
675. C3C2×#64309semidirect
676. C3C2×#64367semidirect
681. C2#11724582direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#890782
C2×C3×#38302
C2×C32×#2372
C22×#62932
C2×#890312
C2×#890292
C2×#890282
#117245822
C2×#890202
C2×#890192
C2×C3⋊D3×Dic62
C2×D3×#6342
C2×#643673
C2×#643093