Finite Group Databasebeta

← C3×#29615 #10648222

Subgroups — C3×#29615 #10648222

Order 768.

1286 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3449C211yesmaximal, characteristic
2C3×#3095C211yesmaximal, characteristic, complemented
3C3×#3007C211yesmaximal, characteristic, complemented
4C3×#2432C211yesmaximal, characteristic, complemented
5C3×#2038C212yesmaximal, complemented
6C3×#2037C212yesmaximal, complemented
7C3×#2005C212yesmaximal, complemented
8C3×#2004C212yesmaximal, complemented
9C3×#1826C211yesmaximal, characteristic, complemented
10C3×#1789C211yesmaximal, characteristic, complemented
11C3×#1785C211yesmaximal, characteristic, complemented
12#29615C311yesmaximal, characteristic, direct product factor, Sylow
13C22×C3×#41C2211yescharacteristic
14C22×C3×#41C2211yescharacteristic
15C2×C3×#137C2212yes—
16C3×#537—21no—
17C3×#537—21no—
18C3×#536—21no—
19C3×#536C2212yes—
20C3×#535—21no—
21C3×#535C2212yes—
22C3×#534—22no—
23C3×#532—22no—
24C2×C3×C4⋊Q8C2211yescharacteristic, complemented
25C2×C3×#124C2211yescharacteristic, complemented
26C3×#525—22no—
27C3×#525—22no—
28C2×C3×C22⋊Q8C2211yescharacteristic
29C2×C3×#117C2211yescharacteristic
30C3×#485—22no—
31C3×#484—21no—
32C3×#483—21no—
33C3×#452—22no—
34C3×#451—21no—
35C3×#450—21no—
36C3×#428C2212yescomplemented
37C2×C3×#104C2212yes—
38C2×C3×#104C2212yes—
39C3×#419C2212yescomplemented
40C3×#417C2212yes—
41C2×C3×#101C2212yescomplemented
42C2×C3×#100C2212yescomplemented
43C3×#407C2211yescharacteristic
44C3×#407C2211yescharacteristic
45C3×#394—22no—
46C3×#391C2211yescharacteristic, complemented
47C3×#390C2211yescharacteristic, complemented
48C3×#385—22no—
49C3×C4×C22⋊C4C2211yescharacteristic
50C3×#339C2212yescomplemented
51C3×#339C2212yescomplemented
52#3449C2×C311yescharacteristic
53#3095C2×C311yescharacteristic, complemented
54#3007C2×C311yescharacteristic, complemented
55#2432C2×C311yescharacteristic, complemented
56#2038C2×C312yescomplemented
57#2037C2×C312yescomplemented
58#2005C2×C312yescomplemented
59#2004C2×C312yescomplemented
60#1826C2×C311yescharacteristic, complemented
61#1789C2×C311yescharacteristic, complemented
62#1785C2×C311yescharacteristic, complemented
63C2×C3×#41—21no—
64C2×C3×#41—21no—
65C2×C3×#41—21no—
66C2×C3×#41—21no—
67C2×C3×#41—21no—
68C2×C3×#41—21no—
69C2×C3×#41—42no—
70C2×C3×#41—42no—
71C2×C3×#41—42no—
72C2×C3×#41—42no—
73C2×C3×#41D412yes—
74C2×C3×#41C2312yes—
75C22×C3×Q8D411yescharacteristic
76C22×C3×Q8C2311yescharacteristic
77C22×C3×Q8C2311yescharacteristic
78C22×C3×D4—21no—
79C22×C3×D4D412yes—
80C22×C3×D4D411yescharacteristic
81C22×C3×D4C2311yescharacteristic
82C23×C3×C4—21no—
83C23×C3×C4D412yes—
84C23×C3×C4C2311yescharacteristic
85C3×#137—42no—
86C3×#137—42no—
87C2×C3×Q16—22no—
88C2×C3×SD16—22no—
89C2×C3×M16C2312yes—
90C2×C3×M16C2312yes—
91C3×C4⋊Q8—22no—
92C3×C4⋊Q8—42no—
93C3×#127—22no—
94C3×#124—22no—
95C3×#124—22no—
96C3×#124—42no—
97C3×#123—24no—
98C3×#123—24no—
99C3×C22⋊Q8—22no—
100C3×C22⋊Q8—22no—
101C3×C22⋊Q8—22no—
102C3×C22⋊Q8—22no—
103C3×C22⋊Q8—21no—
104C3×C22⋊Q8—21no—
105C3×C22⋊Q8—21no—
106C3×C22⋊Q8—21no—
107C3×#121—22no—
108C3×#121—22no—
109C3×#121—24no—
110C3×#121—24no—
111C3×#121—22no—
112C3×#121—22no—
113C3×#120—24no—
114C3×#120—24no—
115C3×C4×D4—24no—
116C3×C4×D4—24no—
117C3×#117—21no—
118C3×#117—21no—
119C3×#117D412yes—
120C3×#117C2312yes—
121C2×C3×C4⋊C4—21no—
122C2×C3×C4⋊C4—22no—
123C2×C3×C4⋊C4D411yescharacteristic
124C2×C3×C4⋊C4D411yescharacteristic
125C2×C3×C4⋊C4C2311yescharacteristic
126C2×C3×C22⋊C4—21no—
127C2×C3×C22⋊C4—21no—
128C2×C3×C22⋊C4—22no—
129C2×C3×C22⋊C4—22no—
130C2×C3×C22⋊C4—21no—
131C2×C3×C42—21no—
132C2×C3×C42C2311yescharacteristic
133C2×C3×C42C2311yescharacteristic
134C3×#107—22no—
135C3×#106—22no—
136C3×#104—42no—
137C3×#104—42no—
138C3×#103—22no—
139C3×#103—22no—
140C3×#103—22no—
141C3×#102—22no—
142C3×#101—42no—
143C3×#100—42no—
144C3×C22⋊C8—21no—
145C3×C22⋊C8—21no—
146C3×C22⋊C8—21no—
147C3×C22⋊C8—21no—
148C3×#95—21no—
149C3×#95—22no—
150C22×#41C22×C311yescharacteristic
151C22×#41C22×C311yescharacteristic
152C2×#137C22×C312yes—
153#537—21no—
154#537—21no—
155#536—21no—
156#536C22×C312yes—
157#535—21no—
158#535C22×C312yes—
159#534—22no—
160#532—22no—
161C2×C4⋊Q8C22×C311yescharacteristic, complemented
162C2×#124C22×C311yescharacteristic, complemented
163#525—22no—
164#525—22no—
165C2×C22⋊Q8C22×C311yescharacteristic
166C2×#117C22×C311yescharacteristic
167#485—22no—
168#484—21no—
169#483—21no—
170#452—22no—
171#451—21no—
172#450—21no—
173#428C22×C312yescomplemented
174C2×#104C22×C312yes—
175C2×#104C22×C312yes—
176#419C22×C312yescomplemented
177#417C22×C312yes—
178C2×#101C22×C312yescomplemented
179C2×#100C22×C312yescomplemented
180#407C22×C311yescharacteristic
181#407C22×C311yescharacteristic
182#394—22no—
183#391C22×C311yescharacteristic, complemented
184#390C22×C311yescharacteristic, complemented
185#385—22no—
186C4×C22⋊C4C22×C311yescharacteristic
187#339C22×C312yescomplemented
188#339C22×C312yescomplemented
189C24×C3—21no—
190C24×C3C2×D412yes—
191C24×C3C2×D411yescharacteristic
192C3×#41—22no—
193C3×#41—22no—
194C3×#41—22no—
195C3×#41—22no—
196C3×#41—42no—
197C3×#41—42no—
198C3×#41—42no—
199C3×#41—42no—
200C3×#41—44no—
201C3×#41—44no—
202C3×#41—44no—
203C3×#41—44no—
204C3×#41—44no—
205C2×C3×Q8—21no—
206C2×C3×Q8—21no—
207C2×C3×Q8—21no—
208C2×C3×Q8—22no—
209C2×C3×Q8—22no—
210C2×C3×Q8—21no—
211C2×C3×Q8—21no—
212C2×C3×Q8—22no—
213C2×C3×Q8—22no—
214C2×C3×Q8—42no—
215C2×C3×Q8C2×D412yes—
216C2×C3×D4—22no—
217C2×C3×D4—22no—
218C2×C3×D4—22no—
219C2×C3×D4—22no—
220C2×C3×D4—24no—
221C2×C3×D4—24no—
222C2×C3×D4—21no—
223C2×C3×D4—21no—
224C2×C3×D4—21no—
225C2×C3×D4—22no—
226C2×C3×D4—22no—
227C2×C3×D4—42no—
228C2×C3×D4—42no—
229C2×C3×D4—42no—
230C2×C3×D4—42no—
231C2×C3×D4—42no—
232C2×C3×D4C2×D412yes—
233C22×C3×C4—22no—
234C22×C3×C4—22no—
235C22×C3×C4—21no—
236C22×C3×C4—21no—
237C22×C3×C4—21no—
238C22×C3×C4—21no—
239C22×C3×C4—22no—
240C22×C3×C4—22no—
241C22×C3×C4—22no—
242C22×C3×C4—22no—
243C22×C3×C4—21no—
244C22×C3×C4—21no—
245C22×C3×C4—21no—
246C22×C3×C4—42no—
247C22×C3×C4—42no—
248C22×C3×C4—44no—
249C22×C3×C4C2×D412yes—
250C22×C3×C4C2×D411yescharacteristic
251C22×C3×C4C2×D411yescharacteristic
252C22×C3×C4C2×D411yescharacteristic
253C22×C3×C4C2×D411yescharacteristic
254C22×C3×C4C2×D411yescharacteristic
255C22×C3×C4C2411yescharacteristic
256C3×Q16—44no—
257C3×SD16—44no—
258C3×M16—22no—
259C3×M16—22no—
260C3×M16—22no—
261C3×M16—22no—
262C2×C3×C8—22no—
263C2×C3×C8—22no—
264C3×C4⋊C4—24no—
265C3×C4⋊C4—24no—
266C3×C4⋊C4—21no—
267C3×C4⋊C4—21no—
268C3×C4⋊C4—21no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4—44no—
271C3×C4⋊C4—41no—
272C3×C4⋊C4—41no—
273C3×C4⋊C4C2×D412yes—
274C3×C4⋊C4C2×D412yes—
275C3×C22⋊C4—24no—
276C3×C22⋊C4—24no—
277C3×C22⋊C4—24no—
278C3×C22⋊C4—24no—
279C3×C22⋊C4—22no—
280C3×C22⋊C4—22no—
281C3×C22⋊C4—42no—
282C3×C22⋊C4—44no—
283C3×C22⋊C4—44no—
284C3×C22⋊C4—41no—
285C3×C22⋊C4—41no—
286C3×C42—22no—
287C3×C42—22no—
288C3×C42—22no—
289C3×C42—22no—
290C2×#41—21no—
291C2×#41—21no—
292C2×#41—21no—
293C2×#41—21no—
294C2×#41—21no—
295C2×#41—21no—
296C2×#41—42no—
297C2×#41—42no—
298C2×#41—42no—
299C2×#41—42no—
300C2×#41C3×D412yes—
301C2×#41C23×C312yes—
302C22×Q8C3×D411yescharacteristic
303C22×Q8C23×C311yescharacteristic
304C22×Q8C23×C311yescharacteristic
305C22×D4—21no—
306C22×D4C3×D412yes—
307C22×D4C3×D411yescharacteristic
308C22×D4C23×C311yescharacteristic
309C23×C4—21no—
310C23×C4C3×D412yes—
311C23×C4C23×C311yescharacteristic
312#137—42no—
313#137—42no—
314C2×Q16—22no—
315C2×SD16—22no—
316C2×M16C23×C312yes—
317C2×M16C23×C312yes—
318C4⋊Q8—22no—
319C4⋊Q8—42no—
320#127—22no—
321#124—22no—
322#124—22no—
323#124—42no—
324#123—24no—
325#123—24no—
326C22⋊Q8—22no—
327C22⋊Q8—22no—
328C22⋊Q8—22no—
329C22⋊Q8—22no—
330C22⋊Q8—21no—
331C22⋊Q8—21no—
332C22⋊Q8—21no—
333C22⋊Q8—21no—
334#121—22no—
335#121—22no—
336#121—24no—
337#121—24no—
338#121—22no—
339#121—22no—
340#120—24no—
341#120—24no—
342C4×D4—24no—
343C4×D4—24no—
344#117—21no—
345#117—21no—
346#117C3×D412yes—
347#117C23×C312yes—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4C3×D411yescharacteristic
351C2×C4⋊C4C3×D411yescharacteristic
352C2×C4⋊C4C23×C311yescharacteristic
353C2×C22⋊C4—21no—
354C2×C22⋊C4—21no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—21no—
357C2×C22⋊C4—22no—
358C2×C42—21no—
359C2×C42C23×C311yescharacteristic
360C2×C42C23×C311yescharacteristic
361#107—22no—
362#106—22no—
363#104—42no—
364#104—42no—
365#103—22no—
366#103—22no—
367#103—22no—
368#102—22no—
369#101—42no—
370#100—42no—
371C22⋊C8—21no—
372C22⋊C8—21no—
373C22⋊C8—21no—
374C22⋊C8—21no—
375#95—21no—
376#95—22no—
377C23×C3—21no—
378C23×C3—21no—
379C23×C3—22no—
380C23×C3—22no—
381C23×C3—22no—
382C23×C3—22no—
383C23×C3—41no—
384C23×C3—41no—
385C23×C3—42no—
386C23×C3—42no—
387C23×C3—42no—
388C23×C3—81no—
389C23×C3—81no—
390C23×C3#12011yescharacteristic
391C23×C3#12011yescharacteristic
392C23×C3C22×D411yescharacteristic
393C3×Q8—22no—
394C3×Q8—22no—
395C3×Q8—42no—
396C3×Q8—42no—
397C3×Q8—42no—
398C3×Q8—42no—
399C3×Q8—42no—
400C3×D4—22no—
401C3×D4—22no—
402C3×D4—42no—
403C3×D4—44no—
404C3×D4—44no—
405C3×D4—44no—
406C3×D4—42no—
407C3×D4—42no—
408C3×D4—42no—
409C3×D4—42no—
410C3×D4—84no—
411C3×D4—84no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—22no—
415C2×C3×C4—22no—
416C2×C3×C4—22no—
417C2×C3×C4—22no—
418C2×C3×C4—22no—
419C2×C3×C4—22no—
420C2×C3×C4—22no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—22no—
425C2×C3×C4—44no—
426C2×C3×C4—44no—
427C2×C3×C4—44no—
428C2×C3×C4—41no—
429C2×C3×C4—42no—
430C2×C3×C4—41no—
431C2×C3×C4—42no—
432C2×C3×C4—42no—
433C2×C3×C4—41no—
434C2×C3×C4—42no—
435C2×C3×C4—41no—
436C2×C3×C4—41no—
437C2×C3×C4—41no—
438C2×C3×C4—41no—
439C2×C3×C4—41no—
440C2×C3×C4—41no—
441C2×C3×C4—81no—
442C2×C3×C4—81no—
443C2×C3×C4#12011yescharacteristic
444C2×C3×C4#12011yescharacteristic
445C2×C3×C4C22×D411yescharacteristic
446C2×C3×C4C22×D411yescharacteristic
447C2×C3×C4H(5,𝔽2)12yes—
448C2×C3×C4H(5,𝔽2)12yes—
449C3×C8—42no—
450C3×C8—42no—
451C24—21no—
452C24C2×C3×D412yes—
453C24C2×C3×D411yescharacteristic
454#41—22no—
455#41—22no—
456#41—22no—
457#41—22no—
458#41—42no—
459#41—42no—
460#41—42no—
461#41—42no—
462#41—44no—
463#41—44no—
464#41—44no—
465#41—44no—
466#41—44no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—22no—
471C2×Q8—22no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—22no—
475C2×Q8—22no—
476C2×Q8—42no—
477C2×Q8C2×C3×D412yes—
478C2×D4—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—22no—
482C2×D4—24no—
483C2×D4—24no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4C2×C3×D412yes—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—44no—
511C22×C4C2×C3×D412yes—
512C22×C4C2×C3×D411yescharacteristic
513C22×C4C2×C3×D411yescharacteristic
514C22×C4C2×C3×D411yescharacteristic
515C22×C4C2×C3×D411yescharacteristic
516C22×C4C2×C3×D411yescharacteristic
517C22×C4C24×C311yescharacteristic
518Q16—44no—
519SD16—44no—
520M16—22no—
521M16—22no—
522M16—22no—
523M16—22no—
524C2×C8—22no—
525C2×C8—22no—
526C4⋊C4—24no—
527C4⋊C4—24no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—44no—
533C4⋊C4—41no—
534C4⋊C4—41no—
535C4⋊C4C2×C3×D412yes—
536C4⋊C4C2×C3×D412yes—
537C22⋊C4—24no—
538C22⋊C4—24no—
539C22⋊C4—24no—
540C22⋊C4—24no—
541C22⋊C4—22no—
542C22⋊C4—22no—
543C22⋊C4—42no—
544C22⋊C4—44no—
545C22⋊C4—44no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C42—22no—
549C42—22no—
550C42—22no—
551C42—22no—
552C22×C3—21no—
553C22×C3—21no—
554C22×C3—21no—
555C22×C3—21no—
556C22×C3—21no—
557C22×C3—21no—
558C22×C3—21no—
559C22×C3—21no—
560C22×C3—44no—
561C22×C3—42no—
562C22×C3—42no—
563C22×C3—42no—
564C22×C3—42no—
565C22×C3—42no—
566C22×C3—42no—
567C22×C3—81no—
568C22×C3—81no—
569C22×C3—82no—
570C22×C3—84no—
571C22×C3C2×#12011yescharacteristic
572C22×C3#53411yescharacteristic
573C22×C3#53411yescharacteristic
574C3×C4—21no—
575C3×C4—21no—
576C3×C4—42no—
577C3×C4—42no—
578C3×C4—42no—
579C3×C4—42no—
580C3×C4—42no—
581C3×C4—81no—
582C3×C4—81no—
583C3×C4—81no—
584C3×C4#53412yes—
585C3×C4#53512yes—
586C23—21no—
587C23—21no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—41no—
593C23—41no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—81no—
598C23—81no—
599C23C3×#12011yescharacteristic
600C23C3×#12011yescharacteristic
601C23C22×C3×D411yescharacteristic
602Q8—22no—
603Q8—22no—
604Q8—42no—
605Q8—42no—
606Q8—42no—
607Q8—42no—
608Q8—42no—
609D4—22no—
610D4—22no—
611D4—42no—
612D4—44no—
613D4—44no—
614D4—44no—
615D4—42no—
616D4—42no—
617D4—42no—
618D4—42no—
619D4—84no—
620D4—84no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—44no—
635C2×C4—44no—
636C2×C4—44no—
637C2×C4—42no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—41no—
643C2×C4—42no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—81no—
651C2×C4—81no—
652C2×C4C3×#12011yescharacteristic
653C2×C4C3×#12011yescharacteristic
654C2×C4C22×C3×D411yescharacteristic
655C2×C4C22×C3×D411yescharacteristic
656C2×C4C3×H(5,𝔽2)12yes—
657C2×C4C3×H(5,𝔽2)12yes—
658C8—42no—
659C8—42no—
660C2×C3—21no—
661C2×C3—21no—
662C2×C3—41no—
663C2×C3—41no—
664C2×C3—82no—
665C2×C3—82no—
666C2×C3#261311yescharacteristic
667C2×C3#301811yescharacteristic
668C2×C3#302211yescharacteristic
669C22—21no—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—21no—
677C22—44no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—42no—
684C22—81no—
685C22—81no—
686C22—82no—
687C22—84no—
688C22C2×C3×#12011yescharacteristic
689C22C3×#53411yescharacteristic
690C22C3×#53411yescharacteristic
691C4—21no—
692C4—21no—
693C4—42no—
694C4—42no—
695C4—42no—
696C4—42no—
697C4—42no—
698C4—81no—
699C4—81no—
700C4—81no—
701C4C3×#53412yes—
702C4C3×#53512yes—
703C3#2961511yescharacteristic, direct product factor, Sylow
704C2—21no—
705C2—21no—
706C2—41no—
707C2—41no—
708C2—82no—
709C2—82no—
710C2C3×#261311yescharacteristic
711C2C3×#301811yescharacteristic
712C2C3×#302211yescharacteristic
subgroupG/H
center, socleC22×C3C2×#120
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC3×#3449C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C3 ◁ C23×C3×C4 ◁ G

Complements

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

NH ≅ G/Ntype
2. C3×#3095C2semidirect
3. C3×#3007C2semidirect
4. C3×#2432C2semidirect
5. C3×#2038C2semidirect
6. C3×#2037C2semidirect
7. C3×#2005C2semidirect
8. C3×#2004C2semidirect
9. C3×#1826C2semidirect
10. C3×#1789C2semidirect
11. C3×#1785C2semidirect
12. #29615C3direct (N × H)
24. C2×C3×C4⋊Q8C22semidirect
25. C2×C3×#124C22semidirect
36. C3×#428C22semidirect
39. C3×#419C22semidirect
41. C2×C3×#101C22semidirect
42. C2×C3×#100C22semidirect
46. C3×#391C22semidirect
47. C3×#390C22semidirect
50. C3×#339C22semidirect
51. C3×#339C22semidirect
53. #3095C2×C3semidirect
54. #3007C2×C3semidirect
55. #2432C2×C3semidirect
56. #2038C2×C3semidirect
57. #2037C2×C3semidirect
58. #2005C2×C3semidirect
59. #2004C2×C3semidirect
60. #1826C2×C3semidirect
61. #1789C2×C3semidirect
62. #1785C2×C3semidirect
161. C2×C4⋊Q8C22×C3semidirect
162. C2×#124C22×C3semidirect
173. #428C22×C3semidirect
176. #419C22×C3semidirect
178. C2×#101C22×C3semidirect
179. C2×#100C22×C3semidirect
183. #391C22×C3semidirect
184. #390C22×C3semidirect
187. #339C22×C3semidirect
188. #339C22×C3semidirect
703. C3#29615direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#34492
C3×#30952
C3×#30072
C3×#24322
C3×#20382
C3×#20372
C3×#20052
C3×#20042
C3×#18262
C3×#17892
C3×#17852
#296153