Finite Group Databasebeta

← C109×#32176 #42150170

Subgroups — C109×#32176 #42150170

Order 27904.

762 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
1C109×#2545C211yesmaximal, characteristic, complemented
2C109×#2513C211yesmaximal, characteristic, complemented
3C109×#2074C211yesmaximal, characteristic, complemented
4C109×#2054C211yesmaximal, characteristic
5C109×#2042C211yesmaximal, characteristic, complemented
6C109×#2013C211yesmaximal, characteristic, complemented
7C109×#2012C211yesmaximal, characteristic
8C109×#2012C211yesmaximal, characteristic
9C109×#1981C211yesmaximal, characteristic, complemented
10C109×#1968C211yesmaximal, characteristic, complemented
11C109×#1958C211yesmaximal, characteristic, complemented
12C109×#1926C211yesmaximal, characteristic, complemented
13C109×#1916C211yesmaximal, characteristic, complemented
14C109×#1880C211yesmaximal, characteristic, complemented
15C109×#1865C211yesmaximal, characteristic, complemented
16C22×SD16×C109C2211yescharacteristic
17C22×SD16×C109C2211yescharacteristic
18C22×D8×C109C2211yescharacteristic
19C2×C4⋊Q8×C109C2211yescharacteristic
20C2×#124×C109C2211yescharacteristic
21C2×#124×C109C2211yescharacteristic
22C2×C4×Q8×C109C2211yescharacteristic
23C2×#106×C109C2211yescharacteristic
24C2×C4⋊C8×C109C2211yescharacteristic
25C2×#103×C109C2211yescharacteristic
26C2×#103×C109C2211yescharacteristic
27C2×#103×C109C2211yescharacteristic
28C2×#103×C109C2211yescharacteristic
29C2×#103×C109C2211yescharacteristic
30C2×#103×C109C2211yescharacteristic
31C2×#102×C109C2211yescharacteristic
32C2×#102×C109C2211yescharacteristic
33C2×#102×C109C2211yescharacteristic
34C2×#102×C109C2211yescharacteristic
35C2×C4×C8×C109C2211yescharacteristic
36#397×C109—21no—
37#397×C109—21no—
38#396×C109—21no—
39#396×C109—21no—
40#391×C109C2211yescharacteristic
41#390×C109C2211yescharacteristic
42#390×C109C2211yescharacteristic
43#390×C109C2211yescharacteristic
44#390×C109C2211yescharacteristic
45#389×C109C2211yescharacteristic
46#388×C109—21no—
47#388×C109—21no—
48#388×C109—21no—
49#388×C109—21no—
50#382×C109C2211yescharacteristic
51C4×C4⋊C4×C109C2211yescharacteristic
52C4×C4⋊C4×C109C2211yescharacteristic
53#340×C109C2211yescharacteristic
54#340×C109C2211yescharacteristic
55#336×C109C2211yescharacteristic
56#336×C109C2211yescharacteristic
57#336×C109C2211yescharacteristic
58#336×C109C2211yescharacteristic
59C22×Q8×C109C2311yescharacteristic
60C22×Q8×C109C2311yescharacteristic
61C22×D4×C109C2311yescharacteristic
62C22×D4×C109C2311yescharacteristic
63C2×SD16×C109—22no—
64C2×SD16×C109—22no—
65C2×SD16×C109—41no—
66C2×SD16×C109—41no—
67C2×SD16×C109—41no—
68C2×SD16×C109—41no—
69C2×D8×C109—41no—
70C2×D8×C109—41no—
71C2×D8×C109—41no—
72C22×C8×C109C2311yescharacteristic
73C22×C8×C109C2311yescharacteristic
74C22×C8×C109C2311yescharacteristic
75C22×C8×C109C2311yescharacteristic
76C4⋊Q8×C109—22no—
77C4⋊Q8×C109—41no—
78#124×C109—22no—
79#124×C109—41no—
80#124×C109—41no—
81#124×C109—41no—
82C4×Q8×C109—41no—
83C4×Q8×C109—41no—
84C2×C4⋊C4×C109—21no—
85C2×C4⋊C4×C109—21no—
86C2×C4⋊C4×C109—21no—
87C2×C4⋊C4×C109—21no—
88C2×C4⋊C4×C109D411yescharacteristic
89C2×C4⋊C4×C109D411yescharacteristic
90C2×C4⋊C4×C109C2311yescharacteristic
91C2×C4⋊C4×C109C2311yescharacteristic
92C2×C4⋊C4×C109C2311yescharacteristic
93C2×C4⋊C4×C109C2311yescharacteristic
94C2×C22⋊C4×C109—21no—
95C2×C22⋊C4×C109—21no—
96C2×C22⋊C4×C109—21no—
97C2×C22⋊C4×C109—21no—
98C2×C22⋊C4×C109—21no—
99C2×C22⋊C4×C109—21no—
100C2×C22⋊C4×C109—21no—
101C2×C22⋊C4×C109—21no—
102C2×C22⋊C4×C109—21no—
103C2×C22⋊C4×C109—21no—
104C2×C22⋊C4×C109—21no—
105C2×C22⋊C4×C109—21no—
106C2×C42×C109—21no—
107C2×C42×C109—21no—
108C2×C42×C109C2311yescharacteristic
109C2×C42×C109C2311yescharacteristic
110C2×C42×C109C2311yescharacteristic
111#106×C109—41no—
112C4⋊C8×C109—41no—
113#103×C109—22no—
114#103×C109—41no—
115#103×C109—41no—
116#103×C109—41no—
117#103×C109—41no—
118#103×C109—41no—
119#102×C109—22no—
120#102×C109—41no—
121#102×C109—41no—
122#102×C109—41no—
123C4×C8×C109—41no—
124#95×C109—21no—
125#95×C109—21no—
126#95×C109—21no—
127#95×C109—21no—
128#95×C109—21no—
129#95×C109—21no—
130#95×C109D411yescharacteristic
131#95×C109D411yescharacteristic
132C24×C109—21no—
133C24×C109—21no—
134C2×Q8×C109—21no—
135C2×Q8×C109—21no—
136C2×Q8×C109—21no—
137C2×Q8×C109—21no—
138C2×Q8×C109—21no—
139C2×Q8×C109—21no—
140C2×Q8×C109—21no—
141C2×Q8×C109—21no—
142C2×Q8×C109—21no—
143C2×Q8×C109—21no—
144C2×Q8×C109—21no—
145C2×Q8×C109#4112yes—
146C2×D4×C109—21no—
147C2×D4×C109—21no—
148C2×D4×C109—21no—
149C2×D4×C109—21no—
150C2×D4×C109—21no—
151C2×D4×C109—21no—
152C2×D4×C109—21no—
153C2×D4×C109—21no—
154C2×D4×C109—21no—
155C2×D4×C109—21no—
156C2×D4×C109—21no—
157C2×D4×C109—21no—
158C22×C4×C109—21no—
159C22×C4×C109—21no—
160C22×C4×C109—21no—
161C22×C4×C109—21no—
162C22×C4×C109—21no—
163C22×C4×C109—21no—
164C22×C4×C109C2×D411yescharacteristic
165C22×C4×C109C2×D411yescharacteristic
166C22×C4×C109C2×D411yescharacteristic
167C22×C4×C109C2×D411yescharacteristic
168C22×C4×C109C2×D411yescharacteristic
169C22×C4×C109C2×D411yescharacteristic
170C22×C4×C109C2411yescharacteristic
171SD16×C109—44no—
172SD16×C109—44no—
173D8×C109—44no—
174C2×C8×C109—21no—
175C2×C8×C109—21no—
176C2×C8×C109—21no—
177C2×C8×C109—21no—
178C2×C8×C109—21no—
179C2×C8×C109—21no—
180C2×C8×C109—21no—
181C2×C8×C109—21no—
182C2×C8×C109—21no—
183C2×C8×C109—21no—
184C2×C8×C109—21no—
185C2×C8×C109#4112yes—
186C4⋊C4×C109—22no—
187C4⋊C4×C109—21no—
188C4⋊C4×C109—21no—
189C4⋊C4×C109—21no—
190C4⋊C4×C109—21no—
191C4⋊C4×C109—21no—
192C4⋊C4×C109—21no—
193C4⋊C4×C109—21no—
194C4⋊C4×C109—21no—
195C4⋊C4×C109—41no—
196C4⋊C4×C109—42no—
197C4⋊C4×C109—42no—
198C4⋊C4×C109—42no—
199C4⋊C4×C109—81no—
200C22⋊C4×C109—42no—
201C22⋊C4×C109—42no—
202C22⋊C4×C109—42no—
203C22⋊C4×C109—42no—
204C22⋊C4×C109—42no—
205C22⋊C4×C109—42no—
206C22⋊C4×C109—42no—
207C22⋊C4×C109—42no—
208C22⋊C4×C109—81no—
209C22⋊C4×C109—81no—
210C22⋊C4×C109—81no—
211C22⋊C4×C109—81no—
212C42×C109—21no—
213C42×C109—21no—
214C42×C109—21no—
215C42×C109—21no—
216C42×C109—21no—
217C42×C109—21no—
218C42×C109—42no—
219C42×C109—81no—
220C23×C109—41no—
221C23×C109—41no—
222C23×C109—41no—
223C23×C109—41no—
224C23×C109—41no—
225C23×C109—41no—
226C23×C109—41no—
227C23×C109—41no—
228C23×C109—41no—
229C23×C109—41no—
230C23×C109—41no—
231C23×C109—41no—
232C23×C109—41no—
233C23×C109—41no—
234C23×C109C22×D411yescharacteristic
235Q8×C109—22no—
236Q8×C109—22no—
237Q8×C109—41no—
238Q8×C109—41no—
239Q8×C109—41no—
240Q8×C109—41no—
241Q8×C109—41no—
242Q8×C109—41no—
243D4×C109—41no—
244D4×C109—41no—
245D4×C109—41no—
246D4×C109—41no—
247D4×C109—41no—
248D4×C109—41no—
249D4×C109—41no—
250D4×C109—41no—
251C2×C4×C109—21no—
252C2×C4×C109—21no—
253C2×C4×C109—21no—
254C2×C4×C109—21no—
255C2×C4×C109—21no—
256C2×C4×C109—21no—
257C2×C4×C109—21no—
258C2×C4×C109—22no—
259C2×C4×C109—21no—
260C2×C4×C109—21no—
261C2×C4×C109—21no—
262C2×C4×C109—21no—
263C2×C4×C109—21no—
264C2×C4×C109—21no—
265C2×C4×C109—21no—
266C2×C4×C109—21no—
267C2×C4×C109—21no—
268C2×C4×C109—21no—
269C2×C4×C109—41no—
270C2×C4×C109—41no—
271C2×C4×C109—41no—
272C2×C4×C109—41no—
273C2×C4×C109—41no—
274C2×C4×C109—41no—
275C2×C4×C109—41no—
276C2×C4×C109—41no—
277C2×C4×C109—41no—
278C2×C4×C109—41no—
279C2×C4×C109—41no—
280C2×C4×C109—41no—
281C2×C4×C109—41no—
282C2×C4×C109—41no—
283C2×C4×C109—41no—
284C2×C4×C109—41no—
285C2×C4×C109—41no—
286C2×C4×C109#13512yes—
287C2×C4×C109C2×#4111yescharacteristic
288C2×C4×C109C2×#4111yescharacteristic
289C2×C4×C109H(5,𝔽2)11yescharacteristic
290C2×C4×C109H(5,𝔽2)11yescharacteristic
291C2×C4×C109H(5,𝔽2)11yescharacteristic
292C2×C4×C109H(5,𝔽2)11yescharacteristic
293C8×C109—22no—
294C8×C109—41no—
295C8×C109—41no—
296C8×C109—41no—
297C22×C109—81no—
298C22×C109—81no—
299C22×C109—81no—
300C22×C109—81no—
301C22×C109—81no—
302C22×C109—81no—
303C22×C109—81no—
304C22×C109—81no—
305C22×C109—81no—
306C22×C109—81no—
307C22×C109—81no—
308C22×C109—81no—
309C22×C109—81no—
310C22×C109—81no—
311C22×C109#53511yescharacteristic
312C22×C109#54611yescharacteristic
313C22×C109#55011yescharacteristic
314C22×C109C2×#13511yescharacteristic
315C22×C109#57511yescharacteristic
316C22×C109#57711yescharacteristic
317C22×C109#57711yescharacteristic
318C4×C109—22no—
319C4×C109—41no—
320C4×C109—41no—
321C4×C109—42no—
322C4×C109—41no—
323C4×C109—41no—
324C4×C109—41no—
325C4×C109—81no—
326C4×C109—81no—
327C4×C109—81no—
328C4×C109—81no—
329C4×C109—81no—
330C4×C109#53811yescharacteristic
331C4×C109#53811yescharacteristic
332C4×C109#55311yescharacteristic
333C4×C109#56011yescharacteristic
334#32176C10911yesmaximal, characteristic, direct product factor, Sylow
335C2×C109—161no—
336C2×C109—161no—
337C2×C109#271411yescharacteristic
338C2×C109#321211yescharacteristic
339C2×C109#322111yescharacteristic
340C2×C109#330111yescharacteristic
341C2×C109#332111yescharacteristic
342C2×C109#339411yescharacteristic
343C2×C109#340111yescharacteristic
344#2545C2×C10911yescharacteristic, complemented
345#2513C2×C10911yescharacteristic, complemented
346#2074C2×C10911yescharacteristic, complemented
347#2054C2×C10911yescharacteristic
348#2042C2×C10911yescharacteristic, complemented
349#2013C2×C10911yescharacteristic, complemented
350#2012C2×C10911yescharacteristic
351#2012C2×C10911yescharacteristic
352#1981C2×C10911yescharacteristic, complemented
353#1968C2×C10911yescharacteristic, complemented
354#1958C2×C10911yescharacteristic, complemented
355#1926C2×C10911yescharacteristic, complemented
356#1916C2×C10911yescharacteristic, complemented
357#1880C2×C10911yescharacteristic, complemented
358#1865C2×C10911yescharacteristic, complemented
359C109#3217611yescharacteristic, direct product factor, Sylow
360C22×SD16C22×C10911yescharacteristic
361C22×SD16C22×C10911yescharacteristic
362C22×D8C22×C10911yescharacteristic
363C2×C4⋊Q8C22×C10911yescharacteristic
364C2×#124C22×C10911yescharacteristic
365C2×#124C22×C10911yescharacteristic
366C2×C4×Q8C22×C10911yescharacteristic
367C2×#106C22×C10911yescharacteristic
368C2×C4⋊C8C22×C10911yescharacteristic
369C2×#103C22×C10911yescharacteristic
370C2×#103C22×C10911yescharacteristic
371C2×#103C22×C10911yescharacteristic
372C2×#103C22×C10911yescharacteristic
373C2×#103C22×C10911yescharacteristic
374C2×#103C22×C10911yescharacteristic
375C2×#102C22×C10911yescharacteristic
376C2×#102C22×C10911yescharacteristic
377C2×#102C22×C10911yescharacteristic
378C2×#102C22×C10911yescharacteristic
379C2×C4×C8C22×C10911yescharacteristic
380#397—21no—
381#397—21no—
382#396—21no—
383#396—21no—
384#391C22×C10911yescharacteristic
385#390C22×C10911yescharacteristic
386#390C22×C10911yescharacteristic
387#390C22×C10911yescharacteristic
388#390C22×C10911yescharacteristic
389#389C22×C10911yescharacteristic
390#388—21no—
391#388—21no—
392#388—21no—
393#388—21no—
394#382C22×C10911yescharacteristic
395C4×C4⋊C4C22×C10911yescharacteristic
396C4×C4⋊C4C22×C10911yescharacteristic
397#340C22×C10911yescharacteristic
398#340C22×C10911yescharacteristic
399#336C22×C10911yescharacteristic
400#336C22×C10911yescharacteristic
401#336C22×C10911yescharacteristic
402#336C22×C10911yescharacteristic
403C22×Q8C23×C10911yescharacteristic
404C22×Q8C23×C10911yescharacteristic
405C22×D4C23×C10911yescharacteristic
406C22×D4C23×C10911yescharacteristic
407C2×SD16—22no—
408C2×SD16—22no—
409C2×SD16—41no—
410C2×SD16—41no—
411C2×SD16—41no—
412C2×SD16—41no—
413C2×D8—41no—
414C2×D8—41no—
415C2×D8—41no—
416C22×C8C23×C10911yescharacteristic
417C22×C8C23×C10911yescharacteristic
418C22×C8C23×C10911yescharacteristic
419C22×C8C23×C10911yescharacteristic
420C4⋊Q8—22no—
421C4⋊Q8—41no—
422#124—22no—
423#124—41no—
424#124—41no—
425#124—41no—
426C4×Q8—41no—
427C4×Q8—41no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4D4×C10911yescharacteristic
433C2×C4⋊C4D4×C10911yescharacteristic
434C2×C4⋊C4C23×C10911yescharacteristic
435C2×C4⋊C4C23×C10911yescharacteristic
436C2×C4⋊C4C23×C10911yescharacteristic
437C2×C4⋊C4C23×C10911yescharacteristic
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—21no—
450C2×C42—21no—
451C2×C42—21no—
452C2×C42C23×C10911yescharacteristic
453C2×C42C23×C10911yescharacteristic
454C2×C42C23×C10911yescharacteristic
455#106—41no—
456C4⋊C8—41no—
457#103—22no—
458#103—41no—
459#103—41no—
460#103—41no—
461#103—41no—
462#103—41no—
463#102—22no—
464#102—41no—
465#102—41no—
466#102—41no—
467C4×C8—41no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95—21no—
474#95D4×C10911yescharacteristic
475#95D4×C10911yescharacteristic
476C24—21no—
477C24—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8#41×C10912yes—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4C2×D4×C10911yescharacteristic
509C22×C4C2×D4×C10911yescharacteristic
510C22×C4C2×D4×C10911yescharacteristic
511C22×C4C2×D4×C10911yescharacteristic
512C22×C4C2×D4×C10911yescharacteristic
513C22×C4C2×D4×C10911yescharacteristic
514C22×C4C24×C10911yescharacteristic
515SD16—44no—
516SD16—44no—
517D8—44no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8#41×C10912yes—
530C4⋊C4—22no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—41no—
540C4⋊C4—42no—
541C4⋊C4—42no—
542C4⋊C4—42no—
543C4⋊C4—81no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C22⋊C4—42no—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C22⋊C4—42no—
552C22⋊C4—81no—
553C22⋊C4—81no—
554C22⋊C4—81no—
555C22⋊C4—81no—
556C42—21no—
557C42—21no—
558C42—21no—
559C42—21no—
560C42—21no—
561C42—21no—
562C42—42no—
563C42—81no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23—41no—
578C23C22×D4×C10911yescharacteristic
579Q8—22no—
580Q8—22no—
581Q8—41no—
582Q8—41no—
583Q8—41no—
584Q8—41no—
585Q8—41no—
586Q8—41no—
587D4—41no—
588D4—41no—
589D4—41no—
590D4—41no—
591D4—41no—
592D4—41no—
593D4—41no—
594D4—41no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4#135×C10912yes—
631C2×C4C2×#41×C10911yescharacteristic
632C2×C4C2×#41×C10911yescharacteristic
633C2×C4H(5,𝔽2)×C10911yescharacteristic
634C2×C4H(5,𝔽2)×C10911yescharacteristic
635C2×C4H(5,𝔽2)×C10911yescharacteristic
636C2×C4H(5,𝔽2)×C10911yescharacteristic
637C8—22no—
638C8—41no—
639C8—41no—
640C8—41no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22—81no—
650C22—81no—
651C22—81no—
652C22—81no—
653C22—81no—
654C22—81no—
655C22#535×C10911yescharacteristic
656C22#546×C10911yescharacteristic
657C22#550×C10911yescharacteristic
658C22C2×#135×C10911yescharacteristic
659C22#575×C10911yescharacteristic
660C22#577×C10911yescharacteristic
661C22#577×C10911yescharacteristic
662C4—22no—
663C4—41no—
664C4—41no—
665C4—42no—
666C4—41no—
667C4—41no—
668C4—41no—
669C4—81no—
670C4—81no—
671C4—81no—
672C4—81no—
673C4—81no—
674C4#538×C10911yescharacteristic
675C4#538×C10911yescharacteristic
676C4#553×C10911yescharacteristic
677C4#560×C10911yescharacteristic
678C2—161no—
679C2—161no—
680C2C109×#271411yescharacteristic
681C2C109×#321211yescharacteristic
682C2C109×#322111yescharacteristic
683C2C109×#330111yescharacteristic
684C2C109×#332111yescharacteristic
685C2C109×#339411yescharacteristic
686C2C109×#340111yescharacteristic
subgroupG/H
center, socleC23×C109C22×D4
commutator, Frattini, cosocleC22×C4C24×C109
prime radicalC22×D8×C109C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C109 ◁ C4×C4⋊C4×C109 ◁ G

Complements

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

NH ≅ G/Ntype
1. C109×#2545C2semidirect
2. C109×#2513C2semidirect
3. C109×#2074C2semidirect
5. C109×#2042C2semidirect
6. C109×#2013C2semidirect
9. C109×#1981C2semidirect
10. C109×#1968C2semidirect
11. C109×#1958C2semidirect
12. C109×#1926C2semidirect
13. C109×#1916C2semidirect
14. C109×#1880C2semidirect
15. C109×#1865C2semidirect
334. #32176C109direct (N × H)
344. #2545C2×C109semidirect
345. #2513C2×C109semidirect
346. #2074C2×C109semidirect
348. #2042C2×C109semidirect
349. #2013C2×C109semidirect
352. #1981C2×C109semidirect
353. #1968C2×C109semidirect
354. #1958C2×C109semidirect
355. #1926C2×C109semidirect
356. #1916C2×C109semidirect
357. #1880C2×C109semidirect
358. #1865C2×C109semidirect
359. C109#32176direct (N × H)

Maximal subgroups

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

subgroupindex
C109×#25452
C109×#25132
C109×#20742
C109×#20542
C109×#20422
C109×#20132
C109×#20122
C109×#19812
C109×#19682
C109×#19582
C109×#19262
C109×#19162
C109×#18802
C109×#18652
#32176109