Finite Group Databasebeta

← C109×#32117 #42150111

Subgroups — C109×#32117 #42150111

Order 27904.

774 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C109×#2491C211yesmaximal, characteristic
2C109×#2489C211yesmaximal, characteristic, complemented
3C109×#2075C211yesmaximal, characteristic, complemented
4C109×#2055C211yesmaximal, characteristic, complemented
5C109×#2055C211yesmaximal, characteristic, complemented
6C109×#2025C211yesmaximal, characteristic, complemented
7C109×#2024C211yesmaximal, characteristic, complemented
8C109×#2000C211yesmaximal, characteristic
9C109×#1989C211yesmaximal, characteristic, complemented
10C109×#1987C211yesmaximal, characteristic, complemented
11C109×#1928C211yesmaximal, characteristic, complemented
12C109×#1925C211yesmaximal, characteristic, complemented
13C109×#1893C211yesmaximal, characteristic
14C109×#1892C211yesmaximal, characteristic, complemented
15C109×#1850C211yesmaximal, characteristic, complemented
16C22×SD16×C109C2211yescharacteristic
17C23×C8×C109C2211yescharacteristic
18C2×C4⋊Q8×C109C2211yescharacteristic
19C2×#125×C109C2211yescharacteristic
20C2×#124×C109—21no—
21C2×C22⋊Q8×C109C2211yescharacteristic
22C2×#121×C109C2211yescharacteristic
23C2×#107×C109C2211yescharacteristic
24C2×C4⋊C8×C109C2211yescharacteristic
25C2×C4⋊C8×C109C2211yescharacteristic
26C2×#103×C109C2211yescharacteristic
27C2×#103×C109C2211yescharacteristic
28C2×#103×C109C2211yescharacteristic
29C2×#102×C109C2211yescharacteristic
30C2×#102×C109C2211yescharacteristic
31C2×#102×C109C2211yescharacteristic
32C2×C22⋊C8×C109C2211yescharacteristic
33#400×C109—21no—
34#397×C109—21no—
35#394×C109—21no—
36#393×C109—21no—
37#391×C109C2211yescharacteristic
38#391×C109C2211yescharacteristic
39#390×C109C2211yescharacteristic
40#390×C109C2211yescharacteristic
41#388×C109—21no—
42#388×C109—21no—
43#382×C109—21no—
44#380×C109C2211yescharacteristic
45#380×C109C2211yescharacteristic
46C4×C4⋊C4×C109C2211yescharacteristic
47C4×C4⋊C4×C109C2211yescharacteristic
48C4×C22⋊C4×C109C2211yescharacteristic
49#340×C109C2211yescharacteristic
50#340×C109C2211yescharacteristic
51#340×C109C2211yescharacteristic
52#340×C109C2211yescharacteristic
53#340×C109C2211yescharacteristic
54#340×C109C2211yescharacteristic
55#340×C109C2211yescharacteristic
56#340×C109C2211yescharacteristic
57#336×C109C2211yescharacteristic
58#336×C109C2211yescharacteristic
59C22×Q8×C109—21no—
60C22×Q8×C109C2311yescharacteristic
61C22×D4×C109—21no—
62C22×D4×C109C2311yescharacteristic
63C23×C4×C109C2311yescharacteristic
64C2×SD16×C109—41no—
65C2×SD16×C109—41no—
66C2×SD16×C109—41no—
67C22×C8×C109—41no—
68C22×C8×C109—41no—
69C22×C8×C109—41no—
70C22×C8×C109C2311yescharacteristic
71C22×C8×C109C2311yescharacteristic
72C22×C8×C109C2311yescharacteristic
73C22×C8×C109C2311yescharacteristic
74C4⋊Q8×C109—22no—
75C4⋊Q8×C109—41no—
76#125×C109—22no—
77#125×C109—41no—
78#124×C109—44no—
79C22⋊Q8×C109—22no—
80C22⋊Q8×C109—41no—
81#121×C109—22no—
82#121×C109—41no—
83C2×C4⋊C4×C109—21no—
84C2×C4⋊C4×C109—21no—
85C2×C4⋊C4×C109—21no—
86C2×C4⋊C4×C109—21no—
87C2×C4⋊C4×C109C2311yescharacteristic
88C2×C4⋊C4×C109C2311yescharacteristic
89C2×C4⋊C4×C109C2311yescharacteristic
90C2×C4⋊C4×C109C2311yescharacteristic
91C2×C4⋊C4×C109C2311yescharacteristic
92C2×C4⋊C4×C109C2311yescharacteristic
93C2×C22⋊C4×C109—21no—
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×C109D411yescharacteristic
102C2×C22⋊C4×C109D411yescharacteristic
103C2×C42×C109—21no—
104C2×C42×C109—21no—
105C2×C42×C109C2311yescharacteristic
106C2×C42×C109C2311yescharacteristic
107#107×C109—41no—
108C4⋊C8×C109—41no—
109C4⋊C8×C109—41no—
110#103×C109—22no—
111#103×C109—41no—
112#103×C109—41no—
113#102×C109—22no—
114#102×C109—41no—
115#102×C109—41no—
116C22⋊C8×C109—41no—
117#95×C109—21no—
118#95×C109—21no—
119#95×C109—21no—
120#95×C109—21no—
121#95×C109—21no—
122#95×C109—21no—
123#95×C109—21no—
124#95×C109—21no—
125#95×C109D411yescharacteristic
126#95×C109D411yescharacteristic
127C24×C109—21no—
128C24×C109C2×D411yescharacteristic
129C2×Q8×C109—21no—
130C2×Q8×C109—21no—
131C2×Q8×C109—21no—
132C2×Q8×C109—21no—
133C2×Q8×C109—21no—
134C2×Q8×C109—21no—
135C2×Q8×C109—42no—
136C2×Q8×C109—42no—
137C2×Q8×C109—81no—
138C2×D4×C109—21no—
139C2×D4×C109—21no—
140C2×D4×C109—21no—
141C2×D4×C109—21no—
142C2×D4×C109—21no—
143C2×D4×C109—21no—
144C2×D4×C109—42no—
145C2×D4×C109—42no—
146C2×D4×C109—81no—
147C22×C4×C109—21no—
148C22×C4×C109—21no—
149C22×C4×C109—21no—
150C22×C4×C109—21no—
151C22×C4×C109—21no—
152C22×C4×C109—21no—
153C22×C4×C109—21no—
154C22×C4×C109—21no—
155C22×C4×C109—21no—
156C22×C4×C109—21no—
157C22×C4×C109—21no—
158C22×C4×C109—21no—
159C22×C4×C109—21no—
160C22×C4×C109C2×D411yescharacteristic
161C22×C4×C109C2×D411yescharacteristic
162C22×C4×C109C2×D411yescharacteristic
163C22×C4×C109C2×D411yescharacteristic
164C22×C4×C109C2×D411yescharacteristic
165C22×C4×C109C2411yescharacteristic
166SD16×C109—44no—
167C2×C8×C109—21no—
168C2×C8×C109—21no—
169C2×C8×C109—21no—
170C2×C8×C109—21no—
171C2×C8×C109—21no—
172C2×C8×C109—21no—
173C2×C8×C109—21no—
174C2×C8×C109—21no—
175C2×C8×C109—21no—
176C2×C8×C109—21no—
177C2×C8×C109—21no—
178C2×C8×C109—21no—
179C2×C8×C109—44no—
180C4⋊C4×C109—21no—
181C4⋊C4×C109—21no—
182C4⋊C4×C109—21no—
183C4⋊C4×C109—21no—
184C4⋊C4×C109—21no—
185C4⋊C4×C109—21no—
186C4⋊C4×C109—21no—
187C4⋊C4×C109—21no—
188C4⋊C4×C109—21no—
189C4⋊C4×C109—21no—
190C4⋊C4×C109—42no—
191C4⋊C4×C109—42no—
192C4⋊C4×C109—42no—
193C4⋊C4×C109—42no—
194C4⋊C4×C109#4112yes—
195C4⋊C4×C109#4112yes—
196C22⋊C4×C109—22no—
197C22⋊C4×C109—22no—
198C22⋊C4×C109—42no—
199C22⋊C4×C109—42no—
200C22⋊C4×C109—42no—
201C22⋊C4×C109—42no—
202C22⋊C4×C109—42no—
203C22⋊C4×C109—42no—
204C22⋊C4×C109—42no—
205C22⋊C4×C109—81no—
206C42×C109—21no—
207C42×C109—21no—
208C42×C109—21no—
209C42×C109—21no—
210C42×C109—42no—
211C42×C109—42no—
212C23×C109—21no—
213C23×C109—21no—
214C23×C109—21no—
215C23×C109—21no—
216C23×C109—21no—
217C23×C109—21no—
218C23×C109—41no—
219C23×C109—41no—
220C23×C109—41no—
221C23×C109—41no—
222C23×C109—41no—
223C23×C109—41no—
224C23×C109—41no—
225C23×C109AGL(1,ℤ/8)12yes—
226C23×C109C22×D411yescharacteristic
227Q8×C109—41no—
228Q8×C109—41no—
229Q8×C109—41no—
230Q8×C109—41no—
231Q8×C109—84no—
232D4×C109—41no—
233D4×C109—41no—
234D4×C109—41no—
235D4×C109—41no—
236D4×C109—84no—
237C2×C4×C109—21no—
238C2×C4×C109—21no—
239C2×C4×C109—21no—
240C2×C4×C109—21no—
241C2×C4×C109—21no—
242C2×C4×C109—21no—
243C2×C4×C109—21no—
244C2×C4×C109—22no—
245C2×C4×C109—22no—
246C2×C4×C109—21no—
247C2×C4×C109—21no—
248C2×C4×C109—21no—
249C2×C4×C109—21no—
250C2×C4×C109—21no—
251C2×C4×C109—21no—
252C2×C4×C109—21no—
253C2×C4×C109—41no—
254C2×C4×C109—41no—
255C2×C4×C109—41no—
256C2×C4×C109—41no—
257C2×C4×C109—41no—
258C2×C4×C109—41no—
259C2×C4×C109—41no—
260C2×C4×C109—41no—
261C2×C4×C109—41no—
262C2×C4×C109—41no—
263C2×C4×C109—41no—
264C2×C4×C109—41no—
265C2×C4×C109—41no—
266C2×C4×C109—41no—
267C2×C4×C109—41no—
268C2×C4×C109—41no—
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#13512yes—
277C2×C4×C109C2×#4111yescharacteristic
278C2×C4×C109C2×#4111yescharacteristic
279C2×C4×C109H(5,𝔽2)11yescharacteristic
280C2×C4×C109H(5,𝔽2)11yescharacteristic
281C2×C4×C109H(5,𝔽2)11yescharacteristic
282C2×C4×C1092−1+411yescharacteristic
283C8×C109—41no—
284C8×C109—41no—
285C8×C109—41no—
286C8×C109—41no—
287C22×C109—22no—
288C22×C109—22no—
289C22×C109—22no—
290C22×C109—41no—
291C22×C109—41no—
292C22×C109—41no—
293C22×C109—41no—
294C22×C109—81no—
295C22×C109—81no—
296C22×C109—81no—
297C22×C109—81no—
298C22×C109—81no—
299C22×C109—81no—
300C22×C109—81no—
301C22×C109#53711yescharacteristic
302C22×C109#54611yescharacteristic
303C22×C109#54611yescharacteristic
304C22×C109C2×#13511yescharacteristic
305C22×C109C2×AGL(1,ℤ/8)11yescharacteristic
306C22×C109#57711yescharacteristic
307C22×C109#57811yescharacteristic
308C4×C109—22no—
309C4×C109—41no—
310C4×C109—41no—
311C4×C109—42no—
312C4×C109—41no—
313C4×C109—41no—
314C4×C109—42no—
315C4×C109—81no—
316C4×C109—81no—
317C4×C109—81no—
318C4×C109—81no—
319C4×C109—81no—
320C4×C109#54211yescharacteristic
321C4×C109#54211yescharacteristic
322C4×C109#55911yescharacteristic
323C4×C109H(3,𝔽4)11yescharacteristic
324#32117C10911yesmaximal, characteristic, direct product factor, Sylow
325C2×C109—42no—
326C2×C109—161no—
327C2×C109#271211yescharacteristic
328C2×C109#324711yescharacteristic
329C2×C109#325811yescharacteristic
330C2×C109#330011yescharacteristic
331C2×C109#330311yescharacteristic
332C2×C109#330811yescharacteristic
333C2×C109#331011yescharacteristic
334#2491C2×C10911yescharacteristic
335#2489C2×C10911yescharacteristic, complemented
336#2075C2×C10911yescharacteristic, complemented
337#2055C2×C10911yescharacteristic, complemented
338#2055C2×C10911yescharacteristic, complemented
339#2025C2×C10911yescharacteristic, complemented
340#2024C2×C10911yescharacteristic, complemented
341#2000C2×C10911yescharacteristic
342#1989C2×C10911yescharacteristic, complemented
343#1987C2×C10911yescharacteristic, complemented
344#1928C2×C10911yescharacteristic, complemented
345#1925C2×C10911yescharacteristic, complemented
346#1893C2×C10911yescharacteristic
347#1892C2×C10911yescharacteristic, complemented
348#1850C2×C10911yescharacteristic, complemented
349C109#3211711yescharacteristic, direct product factor, Sylow
350C22×SD16C22×C10911yescharacteristic
351C23×C8C22×C10911yescharacteristic
352C2×C4⋊Q8C22×C10911yescharacteristic
353C2×#125C22×C10911yescharacteristic
354C2×#124—21no—
355C2×C22⋊Q8C22×C10911yescharacteristic
356C2×#121C22×C10911yescharacteristic
357C2×#107C22×C10911yescharacteristic
358C2×C4⋊C8C22×C10911yescharacteristic
359C2×C4⋊C8C22×C10911yescharacteristic
360C2×#103C22×C10911yescharacteristic
361C2×#103C22×C10911yescharacteristic
362C2×#103C22×C10911yescharacteristic
363C2×#102C22×C10911yescharacteristic
364C2×#102C22×C10911yescharacteristic
365C2×#102C22×C10911yescharacteristic
366C2×C22⋊C8C22×C10911yescharacteristic
367#400—21no—
368#397—21no—
369#394—21no—
370#393—21no—
371#391C22×C10911yescharacteristic
372#391C22×C10911yescharacteristic
373#390C22×C10911yescharacteristic
374#390C22×C10911yescharacteristic
375#388—21no—
376#388—21no—
377#382—21no—
378#380C22×C10911yescharacteristic
379#380C22×C10911yescharacteristic
380C4×C4⋊C4C22×C10911yescharacteristic
381C4×C4⋊C4C22×C10911yescharacteristic
382C4×C22⋊C4C22×C10911yescharacteristic
383#340C22×C10911yescharacteristic
384#340C22×C10911yescharacteristic
385#340C22×C10911yescharacteristic
386#340C22×C10911yescharacteristic
387#340C22×C10911yescharacteristic
388#340C22×C10911yescharacteristic
389#340C22×C10911yescharacteristic
390#340C22×C10911yescharacteristic
391#336C22×C10911yescharacteristic
392#336C22×C10911yescharacteristic
393C22×Q8—21no—
394C22×Q8C23×C10911yescharacteristic
395C22×D4—21no—
396C22×D4C23×C10911yescharacteristic
397C23×C4C23×C10911yescharacteristic
398C2×SD16—41no—
399C2×SD16—41no—
400C2×SD16—41no—
401C22×C8—41no—
402C22×C8—41no—
403C22×C8—41no—
404C22×C8C23×C10911yescharacteristic
405C22×C8C23×C10911yescharacteristic
406C22×C8C23×C10911yescharacteristic
407C22×C8C23×C10911yescharacteristic
408C4⋊Q8—22no—
409C4⋊Q8—41no—
410#125—22no—
411#125—41no—
412#124—44no—
413C22⋊Q8—22no—
414C22⋊Q8—41no—
415#121—22no—
416#121—41no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4C23×C10911yescharacteristic
422C2×C4⋊C4C23×C10911yescharacteristic
423C2×C4⋊C4C23×C10911yescharacteristic
424C2×C4⋊C4C23×C10911yescharacteristic
425C2×C4⋊C4C23×C10911yescharacteristic
426C2×C4⋊C4C23×C10911yescharacteristic
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4D4×C10911yescharacteristic
436C2×C22⋊C4D4×C10911yescharacteristic
437C2×C42—21no—
438C2×C42—21no—
439C2×C42C23×C10911yescharacteristic
440C2×C42C23×C10911yescharacteristic
441#107—41no—
442C4⋊C8—41no—
443C4⋊C8—41no—
444#103—22no—
445#103—41no—
446#103—41no—
447#102—22no—
448#102—41no—
449#102—41no—
450C22⋊C8—41no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95D4×C10911yescharacteristic
460#95D4×C10911yescharacteristic
461C24—21no—
462C24C2×D4×C10911yescharacteristic
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—42no—
470C2×Q8—42no—
471C2×Q8—81no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—42no—
479C2×D4—42no—
480C2×D4—81no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4C2×D4×C10911yescharacteristic
495C22×C4C2×D4×C10911yescharacteristic
496C22×C4C2×D4×C10911yescharacteristic
497C22×C4C2×D4×C10911yescharacteristic
498C22×C4C2×D4×C10911yescharacteristic
499C22×C4C24×C10911yescharacteristic
500SD16—44no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—44no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—42no—
525C4⋊C4—42no—
526C4⋊C4—42no—
527C4⋊C4—42no—
528C4⋊C4#41×C10912yes—
529C4⋊C4#41×C10912yes—
530C22⋊C4—22no—
531C22⋊C4—22no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—81no—
540C42—21no—
541C42—21no—
542C42—21no—
543C42—21no—
544C42—42no—
545C42—42no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23AGL(1,ℤ/8)×C10912yes—
560C23C22×D4×C10911yescharacteristic
561Q8—41no—
562Q8—41no—
563Q8—41no—
564Q8—41no—
565Q8—84no—
566D4—41no—
567D4—41no—
568D4—41no—
569D4—41no—
570D4—84no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4#135×C10912yes—
611C2×C4C2×#41×C10911yescharacteristic
612C2×C4C2×#41×C10911yescharacteristic
613C2×C4H(5,𝔽2)×C10911yescharacteristic
614C2×C4H(5,𝔽2)×C10911yescharacteristic
615C2×C4H(5,𝔽2)×C10911yescharacteristic
616C2×C42−1+4×C10911yescharacteristic
617C8—41no—
618C8—41no—
619C8—41no—
620C8—41no—
621C22—22no—
622C22—22no—
623C22—22no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22#537×C10911yescharacteristic
636C22#546×C10911yescharacteristic
637C22#546×C10911yescharacteristic
638C22C2×#135×C10911yescharacteristic
639C22C2×AGL(1,ℤ/8)×C10911yescharacteristic
640C22#577×C10911yescharacteristic
641C22#578×C10911yescharacteristic
642C4—22no—
643C4—41no—
644C4—41no—
645C4—42no—
646C4—41no—
647C4—41no—
648C4—42no—
649C4—81no—
650C4—81no—
651C4—81no—
652C4—81no—
653C4—81no—
654C4#542×C10911yescharacteristic
655C4#542×C10911yescharacteristic
656C4#559×C10911yescharacteristic
657C4H(3,𝔽4)×C10911yescharacteristic
658C2—42no—
659C2—161no—
660C2C109×#271211yescharacteristic
661C2C109×#324711yescharacteristic
662C2C109×#325811yescharacteristic
663C2C109×#330011yescharacteristic
664C2C109×#330311yescharacteristic
665C2C109×#330811yescharacteristic
666C2C109×#331011yescharacteristic
subgroupG/H
center, socleC23×C109C22×D4
commutator, Frattini, cosocleC22×C4C24×C109
prime radicalC2×#121×C109C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C109 ◁ C4×C22⋊C4×C109 ◁ G

Complements

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

NH ≅ G/Ntype
2. C109×#2489C2semidirect
3. C109×#2075C2semidirect
4. C109×#2055C2semidirect
5. C109×#2055C2semidirect
6. C109×#2025C2semidirect
7. C109×#2024C2semidirect
9. C109×#1989C2semidirect
10. C109×#1987C2semidirect
11. C109×#1928C2semidirect
12. C109×#1925C2semidirect
14. C109×#1892C2semidirect
15. C109×#1850C2semidirect
324. #32117C109direct (N × H)
335. #2489C2×C109semidirect
336. #2075C2×C109semidirect
337. #2055C2×C109semidirect
338. #2055C2×C109semidirect
339. #2025C2×C109semidirect
340. #2024C2×C109semidirect
342. #1989C2×C109semidirect
343. #1987C2×C109semidirect
344. #1928C2×C109semidirect
345. #1925C2×C109semidirect
347. #1892C2×C109semidirect
348. #1850C2×C109semidirect
349. C109#32117direct (N × H)

Maximal subgroups

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

subgroupindex
C109×#24912
C109×#24892
C109×#20752
C109×#20552
C109×#20252
C109×#20242
C109×#20002
C109×#19892
C109×#19872
C109×#19282
C109×#19252
C109×#18932
C109×#18922
C109×#18502
#32117109