Finite Group Databasebeta

← C2×#10591259 #11801443

Subgroups — C2×#10591259 #11801443

Order 1152.

2193 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3752C211yesmaximal, characteristic
2C22×Dic3⋊Dic3C211yesmaximal, characteristic, complemented
3C22×#3722C211yesmaximal, characteristic
4C22×#3722C211yesmaximal, characteristic
5C22×Dic32C211yesmaximal, characteristic, complemented
6C2×C3×C3⋊#95C211yesmaximal, characteristic, complemented
7C2×C3×C3⋊#95C211yesmaximal, characteristic, complemented
8#10591259C218yesmaximal, direct product factor
9C2×#4670—31nomaximal
10C2×#4669—31nomaximal
11C24×C3⋊D3C2211yescharacteristic
12C23×C32×C4C2211yescharacteristic
13C23×C3⋊Dic3C2211yescharacteristic
14C23×C3×Dic3C2211yescharacteristic
15C23×C3×Dic3C2211yescharacteristic
16C23×C3×Dic3C2211yescharacteristic
17C23×C3×Dic3C2211yescharacteristic
18C2×#3752—24no—
19C2×#3752C2214yes—
20C2×Dic3⋊Dic3—24no—
21C2×Dic3⋊Dic3C2214yescomplemented
22C2×#3722—24no—
23C2×#3722C418yescomplemented
24C2×#3722C2214yes—
25C2×#3722C2214yes—
26C2×Dic32—24no—
27C2×Dic32C2214yescomplemented
28C3×C3⋊#95C2214yescomplemented
29C3×C3⋊#95C2214yescomplemented
30C22×(C2×D3)⋊C4—31no—
31C22×(C2×D3)⋊C4—31no—
32C22×(C2×D3)⋊C4—31no—
33C22×(C2×D3)⋊C4—31no—
34C22×(C2×D3)⋊C4—31no—
35C22×(C2×D3)⋊C4—31no—
36C22×(C2×D3)⋊C4—61no—
37C22×C4⋊Dic3—31no—
38C22×Dic3⋊C4—31no—
39C22×C4×Dic3—31no—
40C22×C4×Dic3—31no—
41C2×C3×#95—31no—
42C2×C3×#95—31no—
43C2×C3⋊#95D311yescharacteristic, complemented
44C2×C3⋊#95D311yescharacteristic, complemented
45#4670—38no—
46#4669—38no—
47C24×C32C2311yescharacteristic
48C23×C3⋊D3—22no—
49C23×C3⋊D3—22no—
50C23×C3⋊D3—22no—
51C23×C3⋊D3—22no—
52C23×C3⋊D3—22no—
53C23×C3⋊D3—22no—
54C23×C3⋊D3C2×C414yes—
55C23×C3⋊D3C2312yes—
56C22×C32×C4—22no—
57C22×C32×C4—22no—
58C22×C32×C4—22no—
59C22×C32×C4C2312yes—
60C22×C3⋊Dic3—22no—
61C22×C3⋊Dic3—22no—
62C22×C3⋊Dic3D414yes—
63C22×C3⋊Dic3C2312yes—
64C22×C3×Dic3—22no—
65C22×C3×Dic3—22no—
66C22×C3×Dic3—22no—
67C22×C3×Dic3—22no—
68C22×C3×Dic3—22no—
69C22×C3×Dic3—22no—
70C22×C3×Dic3—22no—
71C22×C3×Dic3—22no—
72C22×C3×Dic3—22no—
73C22×C3×Dic3C2×C414yes—
74C22×C3×Dic3C2×C414yes—
75C22×C3×Dic3D414yes—
76C22×C3×Dic3C2312yes—
77C22×C3×Dic3C2312yes—
78C22×C3×Dic3C2312yes—
79C22×C3×Dic3C2312yes—
80#3752—28no—
81Dic3⋊Dic3—28no—
82#3722—28no—
83#3722C2×C4116yescomplemented
84Dic32—28no—
85C2×#388—91noSylow
86C24×D3—31no—
87C24×D3—31no—
88C24×D3—61no—
89C23×C3×C4—21no—
90C23×C3×C4—31no—
91C23×C3×C4—31no—
92C23×C3×C4—31no—
93C23×C3×C4—31no—
94C23×C3×C4C2×D311yescharacteristic
95C23×C3×C4C2×D311yescharacteristic
96C23×Dic3—31no—
97C23×Dic3—31no—
98C23×Dic3—61no—
99C23×Dic3C2×D311yescharacteristic
100C23×Dic3C2×D311yescharacteristic
101C23×Dic3C2×D311yescharacteristic
102C23×Dic3C2×D311yescharacteristic
103C2×(C2×D3)⋊C4—38no—
104C2×(C2×D3)⋊C4—38no—
105C2×(C2×D3)⋊C4—34no—
106C2×(C2×D3)⋊C4—34no—
107C2×(C2×D3)⋊C4—34no—
108C2×(C2×D3)⋊C4—34no—
109C2×(C2×D3)⋊C4—34no—
110C2×(C2×D3)⋊C4—34no—
111C2×(C2×D3)⋊C4—64no—
112C2×(C2×D3)⋊C4—64no—
113C2×(C2×D3)⋊C4—64no—
114C2×(C2×D3)⋊C4—64no—
115C2×(C2×D3)⋊C4—68no—
116C2×(C2×D3)⋊C4—64no—
117C2×C4⋊Dic3—34no—
118C2×C4⋊Dic3—64no—
119C2×Dic3⋊C4—34no—
120C2×Dic3⋊C4—64no—
121C2×C4×Dic3—34no—
122C2×C4×Dic3—34no—
123C2×C4×Dic3—64no—
124C2×C4×Dic3—64no—
125C3×#95—34no—
126C3×#95—34no—
127C3⋊#95C2×D314yescomplemented
128C3⋊#95C2×D314yescomplemented
129C23×C32C22×C412yes—
130C23×C32C2×D412yes—
131C23×C32C2×D412yes—
132C23×C32#4112yes—
133C23×C32#4112yes—
134C23×C32#4112yes—
135C23×C32#4112yes—
136C23×C32C2411yescharacteristic
137C22×C3⋊D3—28no—
138C22×C3⋊D3—22no—
139C22×C3⋊D3—22no—
140C22×C3⋊D3—28no—
141C22×C3⋊D3—28no—
142C22×C3⋊D3—22no—
143C22×C3⋊D3—22no—
144C22×C3⋊D3—22no—
145C22×C3⋊D3—22no—
146C22×C3⋊D3—44no—
147C22×C3⋊D3—44no—
148C22×C3⋊D3—44no—
149C22×C3⋊D3—44no—
150C22×C3⋊D3C22×C414yes—
151C2×C32×C4—22no—
152C2×C32×C4—22no—
153C2×C32×C4—22no—
154C2×C32×C4—44no—
155C2×C3⋊Dic3—28no—
156C2×C3⋊Dic3—22no—
157C2×C3⋊Dic3—22no—
158C2×C3⋊Dic3C2×D414yes—
159C2×C3×Dic3—28no—
160C2×C3×Dic3—28no—
161C2×C3×Dic3—28no—
162C2×C3×Dic3—22no—
163C2×C3×Dic3—22no—
164C2×C3×Dic3—22no—
165C2×C3×Dic3—22no—
166C2×C3×Dic3—22no—
167C2×C3×Dic3—22no—
168C2×C3×Dic3—22no—
169C2×C3×Dic3—22no—
170C2×C3×Dic3—22no—
171C2×C3×Dic3—44no—
172C2×C3×Dic3C22×C414yes—
173C2×C3×Dic3C22×C414yes—
174C2×C3×Dic3C2×D414yes—
175C22×C4⋊C4—91no—
176C22×C22⋊C4—91no—
177C22×C22⋊C4—91no—
178C22×C22⋊C4—91no—
179C22×C42—91no—
180#388—98no—
181C2×#95—31no—
182C2×#95—31no—
183C24×C3—21no—
184C24×C3C22×D311yescharacteristic
185C24×C3C22×D311yescharacteristic
186C23×D3—34no—
187C23×D3—34no—
188C23×D3—32no—
189C23×D3—32no—
190C23×D3—64no—
191C23×D3—62no—
192C23×D3—64no—
193C23×D3—64no—
194C23×D3—62no—
195C23×D3—62no—
196C23×D3—62no—
197C23×D3—62no—
198C23×D3—62no—
199C23×D3—62no—
200C23×D3—62no—
201C23×D3—62no—
202C23×D3—62no—
203C23×D3—62no—
204C23×D3—62no—
205C23×D3—62no—
206C23×D3—122no—
207C23×D3—122no—
208C23×D3—122no—
209C23×D3—122no—
210C22×C3×C4—24no—
211C22×C3×C4—22no—
212C22×C3×C4—22no—
213C22×C3×C4—22no—
214C22×C3×C4—22no—
215C22×C3×C4—22no—
216C22×C3×C4—22no—
217C22×C3×C4—22no—
218C22×C3×C4—34no—
219C22×C3×C4—34no—
220C22×C3×C4—34no—
221C22×C3×C4—32no—
222C22×C3×C4—32no—
223C22×C3×C4—32no—
224C22×C3×C4—32no—
225C22×C3×C4—42no—
226C22×C3×C4—42no—
227C22×C3×C4—62no—
228C22×C3×C4—62no—
229C22×C3×C4—62no—
230C22×C3×C4—62no—
231C22×C3×C4—62no—
232C22×C3×C4—62no—
233C22×C3×C4—62no—
234C22×C3×C4—62no—
235C22×C3×C4—62no—
236C22×C3×C4C22×D312yes—
237C22×C3×C4C22×D312yes—
238C22×Dic3—22no—
239C22×Dic3—22no—
240C22×Dic3—22no—
241C22×Dic3—22no—
242C22×Dic3—22no—
243C22×Dic3—22no—
244C22×Dic3—22no—
245C22×Dic3—22no—
246C22×Dic3—22no—
247C22×Dic3—34no—
248C22×Dic3—34no—
249C22×Dic3—32no—
250C22×Dic3—32no—
251C22×Dic3—64no—
252C22×Dic3—62no—
253C22×Dic3—62no—
254C22×Dic3—62no—
255C22×Dic3—62no—
256C22×Dic3—62no—
257C22×Dic3—122no—
258C22×Dic3—122no—
259C22×Dic3C4×D314yes—
260C22×Dic3C4×D314yes—
261C22×Dic3D1214yes—
262C22×Dic3C22×D312yes—
263C22×Dic3C22×D312yes—
264C22×Dic3C22×D312yes—
265C22×Dic3C22×D312yes—
266(C2×D3)⋊C4—316no—
267(C2×D3)⋊C4—316no—
268(C2×D3)⋊C4—68no—
269(C2×D3)⋊C4—68no—
270(C2×D3)⋊C4—68no—
271(C2×D3)⋊C4—616no—
272(C2×D3)⋊C4—68no—
273C4⋊Dic3—68no—
274Dic3⋊C4—68no—
275C4×Dic3—68no—
276C4×Dic3—68no—
277C22×C32#11714yes—
278C22×C32C4×D414yes—
279C22×C32C4×D414yes—
280C22×C32#12114yes—
281C22×C32#12314yes—
282C22×C32#12414yes—
283C22×C32#12614yes—
284C22×C32C23×C411yescharacteristic
285C22×C32C22×D411yescharacteristic
286C22×C32C22×D411yescharacteristic
287C22×C32C2×#4111yescharacteristic
288C22×C32C2×#4111yescharacteristic
289C22×C32C2×#4111yescharacteristic
290C22×C32C2×#4111yescharacteristic
291C2×C3⋊D3—24no—
292C2×C3⋊D3—24no—
293C2×C3⋊D3—24no—
294C2×C3⋊D3—42no—
295C2×C3⋊D3—42no—
296C2×C3⋊D3—42no—
297C2×C3⋊D3—42no—
298C2×C3⋊D3—416no—
299C32×C4—42no—
300C3⋊Dic3—24no—
301C3×Dic3—24no—
302C3×Dic3—24no—
303C3×Dic3—24no—
304C3×Dic3—42no—
305C25—91no—
306C23×C4—31no—
307C23×C4—31no—
308C23×C4—31no—
309C23×C4—31no—
310C23×C4—91no—
311C23×C4D3211yescharacteristic
312C2×C4⋊C4—94no—
313C2×C4⋊C4—184no—
314C2×C22⋊C4—94no—
315C2×C22⋊C4—98no—
316C2×C22⋊C4—94no—
317C2×C22⋊C4—94no—
318C2×C22⋊C4—184no—
319C2×C22⋊C4—184no—
320C2×C42—94no—
321C2×C42—184no—
322#95—34no—
323#95—34no—
324C23×C3—21no—
325C23×C3—22no—
326C23×C3—22no—
327C23×C3—22no—
328C23×C3—22no—
329C23×C3—22no—
330C23×C3—22no—
331C23×C3—22no—
332C23×C3C2×C4×D312yes—
333C23×C3C2×C4×D312yes—
334C23×C3C2×D1212yes—
335C23×C3#23512yes—
336C23×C3#23512yes—
337C23×C3#23512yes—
338C23×C3D3×D412yes—
339C23×C3D3×D412yes—
340C23×C3D3×D412yes—
341C23×C3#23712yes—
342C23×C3#23712yes—
343C23×C3#23712yes—
344C23×C3#23912yes—
345C23×C3#23912yes—
346C23×C3C23×D311yescharacteristic
347C23×C3C23×D311yescharacteristic
348C22×D3—34no—
349C22×D3—34no—
350C22×D3—64no—
351C22×D3—64no—
352C22×D3—64no—
353C22×D3—616no—
354C22×D3—68no—
355C22×D3—68no—
356C22×D3—68no—
357C22×D3—68no—
358C22×D3—68no—
359C22×D3—68no—
360C22×D3—62no—
361C22×D3—62no—
362C22×D3—62no—
363C22×D3—62no—
364C22×D3—62no—
365C22×D3—62no—
366C22×D3—62no—
367C22×D3—62no—
368C22×D3—62no—
369C22×D3—62no—
370C22×D3—62no—
371C22×D3—62no—
372C22×D3—122no—
373C22×D3—122no—
374C22×D3—122no—
375C22×D3—122no—
376C22×D3—128no—
377C22×D3—128no—
378C22×D3—128no—
379C22×D3—128no—
380C22×D3—128no—
381C22×D3—128no—
382C22×D3—124no—
383C22×D3—124no—
384C22×D3—124no—
385C22×D3—124no—
386C22×D3—124no—
387C22×D3—124no—
388C22×D3—124no—
389C22×D3—124no—
390C2×C3×C4—24no—
391C2×C3×C4—22no—
392C2×C3×C4—22no—
393C2×C3×C4—22no—
394C2×C3×C4—22no—
395C2×C3×C4—22no—
396C2×C3×C4—22no—
397C2×C3×C4—34no—
398C2×C3×C4—34no—
399C2×C3×C4—34no—
400C2×C3×C4—42no—
401C2×C3×C4—42no—
402C2×C3×C4—48no—
403C2×C3×C4—44no—
404C2×C3×C4—44no—
405C2×C3×C4—68no—
406C2×C3×C4—68no—
407C2×C3×C4—68no—
408C2×C3×C4—62no—
409C2×C3×C4—62no—
410C2×C3×C4—62no—
411C2×C3×C4—62no—
412C2×C3×C4—62no—
413C2×C3×C4—62no—
414C2×C3×C4—62no—
415C2×C3×C4—62no—
416C2×C3×C4—62no—
417C2×C3×C4—124no—
418C2×Dic3—28no—
419C2×Dic3—28no—
420C2×Dic3—28no—
421C2×Dic3—22no—
422C2×Dic3—22no—
423C2×Dic3—22no—
424C2×Dic3—22no—
425C2×Dic3—22no—
426C2×Dic3—22no—
427C2×Dic3—22no—
428C2×Dic3—22no—
429C2×Dic3—22no—
430C2×Dic3—34no—
431C2×Dic3—34no—
432C2×Dic3—44no—
433C2×Dic3—64no—
434C2×Dic3—68no—
435C2×Dic3—68no—
436C2×Dic3—62no—
437C2×Dic3—62no—
438C2×Dic3—62no—
439C2×Dic3—62no—
440C2×Dic3—122no—
441C2×Dic3—122no—
442C2×Dic3—128no—
443C2×Dic3C2×C4×D314yes—
444C2×Dic3C2×C4×D314yes—
445C2×Dic3C2×D1214yes—
446C2×C32#38818yescomplemented
447C2×C32C2×#11711yescharacteristic
448C2×C32C2×C4×D411yescharacteristic
449C2×C32C2×C4×D411yescharacteristic
450C2×C32C2×#12111yescharacteristic
451C2×C32C2×#12311yescharacteristic
452C2×C32C2×#12411yescharacteristic
453C2×C32C2×#12611yescharacteristic
454C3⋊D3—44no—
455C24—92no—
456C24—94no—
457C24—182no—
458C24—182no—
459C24—182no—
460C24—182no—
461C24—182no—
462C24—182no—
463C24C2×D3211yescharacteristic
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—32no—
468C22×C4—32no—
469C22×C4—32no—
470C22×C4—34no—
471C22×C4—34no—
472C22×C4—34no—
473C22×C4—32no—
474C22×C4—62no—
475C22×C4—62no—
476C22×C4—62no—
477C22×C4—62no—
478C22×C4—62no—
479C22×C4—62no—
480C22×C4—62no—
481C22×C4—62no—
482C22×C4—62no—
483C22×C4—92no—
484C22×C4—94no—
485C22×C4—182no—
486C22×C4—182no—
487C22×C4C2×D3212yes—
488C4⋊C4—188no—
489C22⋊C4—916no—
490C22⋊C4—188no—
491C22⋊C4—188no—
492C42—188no—
493C22×C3—21no—
494C22×C3—21no—
495C22×C3—21no—
496C22×C3—21no—
497C22×C3—21no—
498C22×C3—21no—
499C22×C3—21no—
500C22×C3—24no—
501C22×C3—24no—
502C22×C3—24no—
503C22×C3—24no—
504C22×C3—24no—
505C22×C3—24no—
506C22×C3—24no—
507C22×C3#87214yes—
508C22×C3C4×D1214yes—
509C22×C3#67⋊C414yes—
510C22×C3#67⋊C414yes—
511C22×C3#88414yes—
512C22×C3#88514yes—
513C22×C3#88514yes—
514C22×C3#88614yes—
515C22×C3#89214yes—
516C22×C3#89314yes—
517C22×C3#89414yes—
518C22×C3#89514yes—
519C22×C3#89814yes—
520C22×C3#89814yes—
521C22×C3C22×C4×D311yescharacteristic
522C22×C3C22×C4×D311yescharacteristic
523C22×C3C22×D1211yescharacteristic
524C22×C3C2×#23511yescharacteristic
525C22×C3C2×#23511yescharacteristic
526C22×C3C2×#23511yescharacteristic
527C22×C3C2×D3×D411yescharacteristic
528C22×C3C2×D3×D411yescharacteristic
529C22×C3C2×D3×D411yescharacteristic
530C22×C3C2×#23711yescharacteristic
531C22×C3C2×#23711yescharacteristic
532C22×C3C2×#23711yescharacteristic
533C22×C3C2×#23911yescharacteristic
534C22×C3C2×#23911yescharacteristic
535C2×D3—68no—
536C2×D3—64no—
537C2×D3—64no—
538C2×D3—64no—
539C2×D3—64no—
540C2×D3—64no—
541C2×D3—64no—
542C2×D3—124no—
543C2×D3—124no—
544C2×D3—124no—
545C2×D3—1232no—
546C2×D3—124no—
547C2×D3—124no—
548C2×D3—124no—
549C2×D3—1216no—
550C2×D3—1216no—
551C2×D3—122no—
552C2×D3—122no—
553C2×D3—122no—
554C2×D3—122no—
555C2×D3—122no—
556C2×D3—122no—
557C2×D3—122no—
558C2×D3—122no—
559C3×C4—44no—
560C3×C4—42no—
561C3×C4—42no—
562C3×C4—64no—
563C3×C4—64no—
564C3×C4—64no—
565C3×C4—122no—
566Dic3—24no—
567Dic3—24no—
568Dic3—24no—
569Dic3—42no—
570Dic3—64no—
571Dic3—64no—
572Dic3—124no—
573C32C2×#38811yescharacteristic, complemented, Sylow
574C23—94no—
575C23—182no—
576C23—182no—
577C23—182no—
578C23—182no—
579C23—182no—
580C23—182no—
581C23—188no—
582C23—188no—
583C23—188no—
584C23—364no—
585C23—364no—
586C23—364no—
587C23—364no—
588C23#379612yes—
589C23#379912yes—
590C23C4×D3212yes—
591C23D3×D1212yes—
592C23#380412yes—
593C23#380412yes—
594C23#381112yes—
595C23C22×D3211yescharacteristic
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—34no—
600C2×C4—34no—
601C2×C4—34no—
602C2×C4—44no—
603C2×C4—62no—
604C2×C4—62no—
605C2×C4—62no—
606C2×C4—62no—
607C2×C4—62no—
608C2×C4—62no—
609C2×C4—68no—
610C2×C4—68no—
611C2×C4—68no—
612C2×C4—62no—
613C2×C4—62no—
614C2×C4—62no—
615C2×C4—94no—
616C2×C4—124no—
617C2×C4—182no—
618C2×C4—182no—
619C2×C4—188no—
620C2×C3—21no—
621C2×C3—28no—
622C2×C3—21no—
623C2×C3—21no—
624C2×C3—21no—
625C2×C3—21no—
626C2×C3—21no—
627C2×C3—21no—
628C2×C3#466918yescomplemented
629C2×C3#467018yescomplemented
630C2×C3C2×#87211yescharacteristic
631C2×C3C2×C4×D1211yescharacteristic
632C2×C3C2×#67⋊C411yescharacteristic
633C2×C3C2×#67⋊C411yescharacteristic
634C2×C3C2×#88411yescharacteristic
635C2×C3C2×#88511yescharacteristic
636C2×C3C2×#88511yescharacteristic
637C2×C3C2×#88611yescharacteristic
638C2×C3C2×#89211yescharacteristic
639C2×C3C2×#89311yescharacteristic
640C2×C3C2×#89411yescharacteristic
641C2×C3C2×#89511yescharacteristic
642C2×C3C2×#89811yescharacteristic
643C2×C3C2×#89811yescharacteristic
644D3—128no—
645D3—124no—
646D3—124no—
647C22—184no—
648C22—184no—
649C22—184no—
650C22—362no—
651C22—3616no—
652C22—362no—
653C22—362no—
654C22—362no—
655C22#6383614yes—
656C22#6384814yes—
657C22#6388014yes—
658C22#6388114yes—
659C22#6389014yes—
660C22#6391014yes—
661C22#6395314yes—
662C22C2×#379611yescharacteristic
663C22C2×#379911yescharacteristic
664C22C2×C4×D3211yescharacteristic
665C22C2×D3×D1211yescharacteristic
666C22C2×#380411yescharacteristic
667C22C2×#380411yescharacteristic
668C22C2×#381111yescharacteristic
669C4—42no—
670C4—64no—
671C4—64no—
672C4—64no—
673C4—122no—
674C4—184no—
675C3—21no—
676C3C2×#466911yescharacteristic, complemented
677C3C2×#467011yescharacteristic, complemented
678C2—364no—
679C2#1059125918yesdirect product factor
680C2C2×#6383611yescharacteristic
681C2C2×#6384811yescharacteristic
682C2C2×#6388011yescharacteristic
683C2C2×#6388111yescharacteristic
684C2C2×#6389011yescharacteristic
685C2C2×#6391011yescharacteristic
686C2C2×#6395311yescharacteristic
subgroupG/H
centerC24C2×D32
commutatorC22×C32C23×C4
FrattiniC23C22×D32
FittingC23×C32×C4C22
socleC24×C32C23
prime radicalC24×C3⋊D3C22
cosocleC23×C32C24
hypercenterC23×C4D32
hypocenterC32C2×#388
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C24 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
2. C22×Dic3⋊Dic3C2semidirect
5. C22×Dic32C2semidirect
6. C2×C3×C3⋊#95C2semidirect
7. C2×C3×C3⋊#95C2semidirect
8. #10591259C2direct (N × H)
21. C2×Dic3⋊Dic3C22semidirect
23. C2×#3722C4semidirect
27. C2×Dic32C22semidirect
28. C3×C3⋊#95C22semidirect
29. C3×C3⋊#95C22semidirect
43. C2×C3⋊#95D3semidirect
44. C2×C3⋊#95D3semidirect
83. #3722C2×C4semidirect
127. C3⋊#95C2×D3semidirect
128. C3⋊#95C2×D3semidirect
446. C2×C32#388semidirect
573. C32C2×#388semidirect
628. C2×C3#4669semidirect
629. C2×C3#4670semidirect
676. C3C2×#4669semidirect
677. C3C2×#4670semidirect
679. C2#10591259direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#37522
C22×Dic3⋊Dic32
C22×#37222
C22×Dic322
C2×C3×C3⋊#952
#105912592
C2×#46703
C2×#46693