Finite Group Databasebeta

← C109×#32610 #42150604

Subgroups — C109×#32610 #42150604

Order 27904.

776 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C109×#2581C211yesmaximal, characteristic, complemented
2C109×#2548C211yesmaximal, characteristic
3C109×#2092C211yesmaximal, characteristic, complemented
4C109×#2073C211yesmaximal, characteristic, complemented
5C109×#2067C211yesmaximal, characteristic, complemented
6C109×#2055C211yesmaximal, characteristic, complemented
7C109×#2041C211yesmaximal, characteristic
8C109×#2014C211yesmaximal, characteristic
9C109×#1984C211yesmaximal, characteristic, complemented
10C109×#1968C211yesmaximal, characteristic, complemented
11C109×#1934C211yesmaximal, characteristic, complemented
12C109×#1928C211yesmaximal, characteristic, complemented
13C109×#1919C211yesmaximal, characteristic, complemented
14C109×#1880C211yesmaximal, characteristic, complemented
15C109×#1880C211yesmaximal, characteristic, complemented
16C22×SD16×C109C2211yescharacteristic
17C22×SD16×C109C2211yescharacteristic
18C2×#127×C109C2211yescharacteristic
19C2×#124×C109—21no—
20C2×C4×Q8×C109C2211yescharacteristic
21C2×C4×Q8×C109C2211yescharacteristic
22C2×#107×C109C2211yescharacteristic
23C2×#106×C109C2211yescharacteristic
24C2×C4⋊C8×C109C2211yescharacteristic
25C2×#103×C109C2211yescharacteristic
26C2×#103×C109C2211yescharacteristic
27C2×#102×C109C2211yescharacteristic
28C2×#102×C109C2211yescharacteristic
29C2×#102×C109C2211yescharacteristic
30C2×#102×C109C2211yescharacteristic
31C2×#102×C109C2211yescharacteristic
32C2×#102×C109C2211yescharacteristic
33C2×C4×C8×C109C2211yescharacteristic
34#400×C109—21no—
35#395×C109—21no—
36#394×C109—21no—
37#394×C109—21no—
38#391×C109C2211yescharacteristic
39#391×C109C2211yescharacteristic
40#390×C109—21no—
41#390×C109C2211yescharacteristic
42#390×C109C2211yescharacteristic
43#390×C109C2211yescharacteristic
44#390×C109C2211yescharacteristic
45#389×C109C2211yescharacteristic
46#389×C109C2211yescharacteristic
47#387×C109—21no—
48#387×C109—21no—
49#382×C109C2211yescharacteristic
50C4×C4⋊C4×C109C2211yescharacteristic
51#340×C109C2211yescharacteristic
52#340×C109C2211yescharacteristic
53#340×C109C2211yescharacteristic
54#340×C109C2211yescharacteristic
55#336×C109C2211yescharacteristic
56#336×C109C2211yescharacteristic
57#336×C109C2211yescharacteristic
58#336×C109C2211yescharacteristic
59C22×Q8×C109D411yescharacteristic
60C22×Q8×C109C2311yescharacteristic
61C22×D4×C109—21no—
62C22×D4×C109—21no—
63C22×D4×C109C2311yescharacteristic
64C22×D4×C109C2311yescharacteristic
65C2×SD16×C109—22no—
66C2×SD16×C109—22no—
67C2×SD16×C109—22no—
68C2×SD16×C109—41no—
69C2×SD16×C109—41no—
70C2×SD16×C109—41no—
71C22×C8×C109C2311yescharacteristic
72C22×C8×C109C2311yescharacteristic
73C22×C8×C109C2311yescharacteristic
74C22×C8×C109C2311yescharacteristic
75#127×C109—41no—
76#127×C109—41no—
77#124×C109—44no—
78C4×Q8×C109—41no—
79C4×Q8×C109—41no—
80C4×Q8×C109—41no—
81C4×Q8×C109—41no—
82C2×C4⋊C4×C109—21no—
83C2×C4⋊C4×C109—21no—
84C2×C4⋊C4×C109—21no—
85C2×C4⋊C4×C109D411yescharacteristic
86C2×C4⋊C4×C109D411yescharacteristic
87C2×C4⋊C4×C109D411yescharacteristic
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×C42×C109—21no—
102C2×C42×C109—21no—
103C2×C42×C109C2311yescharacteristic
104C2×C42×C109C2311yescharacteristic
105C2×C42×C109C2311yescharacteristic
106#107×C109—41no—
107#106×C109—22no—
108C4⋊C8×C109—41no—
109#103×C109—22no—
110#103×C109—41no—
111#102×C109—22no—
112#102×C109—41no—
113#102×C109—41no—
114#102×C109—41no—
115#102×C109—41no—
116#102×C109—41no—
117C4×C8×C109—41no—
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×C109—21no—
126#95×C109—21no—
127C24×C109—21no—
128C24×C109—21no—
129C2×Q8×C109—22no—
130C2×Q8×C109—22no—
131C2×Q8×C109—21no—
132C2×Q8×C109—21no—
133C2×Q8×C109—21no—
134C2×Q8×C109—21no—
135C2×Q8×C109—21no—
136C2×Q8×C109—41no—
137C2×Q8×C109#4112yes—
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—21no—
145C2×D4×C109—21no—
146C2×D4×C109—21no—
147C2×D4×C109—21no—
148C2×D4×C109—21no—
149C2×D4×C109—21no—
150C2×D4×C109—42no—
151C2×D4×C109—42no—
152C2×D4×C109—42no—
153C2×D4×C109—42no—
154C2×D4×C109—81no—
155C2×D4×C109—81no—
156C22×C4×C109—21no—
157C22×C4×C109—21no—
158C22×C4×C109—21no—
159C22×C4×C109—21no—
160C22×C4×C109—21no—
161C22×C4×C109—21no—
162C22×C4×C109C2×D411yescharacteristic
163C22×C4×C109C2×D411yescharacteristic
164C22×C4×C109C2×D411yescharacteristic
165C22×C4×C109C2×D411yescharacteristic
166C22×C4×C109C2×D411yescharacteristic
167C22×C4×C109C2×D411yescharacteristic
168C22×C4×C109C2411yescharacteristic
169SD16×C109—44no—
170SD16×C109—44no—
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—21no—
180C2×C8×C109—21no—
181C2×C8×C109—21no—
182C2×C8×C109#4112yes—
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—21no—
191C4⋊C4×C109—21no—
192C4⋊C4×C109—21no—
193C4⋊C4×C109—41no—
194C4⋊C4×C109—41no—
195C4⋊C4×C109—41no—
196C4⋊C4×C109—42no—
197C4⋊C4×C109—42no—
198C4⋊C4×C109—42no—
199C22⋊C4×C109—42no—
200C22⋊C4×C109—42no—
201C22⋊C4×C109—42no—
202C22⋊C4×C109—42no—
203C22⋊C4×C109—81no—
204C22⋊C4×C109—81no—
205C22⋊C4×C109—81no—
206C22⋊C4×C109—81no—
207C42×C109—21no—
208C42×C109—21no—
209C42×C109—21no—
210C42×C109—21no—
211C42×C109—21no—
212C42×C109—21no—
213C42×C109—42no—
214C42×C109—42no—
215C23×C109—41no—
216C23×C109—41no—
217C23×C109—41no—
218C23×C109—41no—
219C23×C109—41no—
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×C109C22×D411yescharacteristic
230Q8×C109—22no—
231Q8×C109—22no—
232Q8×C109—44no—
233Q8×C109—41no—
234Q8×C109—41no—
235D4×C109—41no—
236D4×C109—41no—
237D4×C109—41no—
238D4×C109—41no—
239D4×C109—41no—
240D4×C109—41no—
241D4×C109—41no—
242D4×C109—41no—
243D4×C109—84no—
244D4×C109—84no—
245C2×C4×C109—21no—
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—22no—
254C2×C4×C109—21no—
255C2×C4×C109—21no—
256C2×C4×C109—21no—
257C2×C4×C109—21no—
258C2×C4×C109—21no—
259C2×C4×C109—21no—
260C2×C4×C109—21no—
261C2×C4×C109—21no—
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—41no—
277C2×C4×C109—41no—
278C2×C4×C109—41no—
279C2×C4×C109#13512yes—
280C2×C4×C109AGL(1,ℤ/8)12yes—
281C2×C4×C109C2×#4111yescharacteristic
282C2×C4×C109C2×#4111yescharacteristic
283C2×C4×C109H(5,𝔽2)11yescharacteristic
284C2×C4×C109H(5,𝔽2)11yescharacteristic
285C2×C4×C109H(5,𝔽2)11yescharacteristic
286C2×C4×C1092−1+411yescharacteristic
287C8×C109—22no—
288C8×C109—41no—
289C8×C109—41no—
290C8×C109—41no—
291C22×C109—81no—
292C22×C109—81no—
293C22×C109—81no—
294C22×C109—81no—
295C22×C109—81no—
296C22×C109—81no—
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#53411yescharacteristic
306C22×C109#54811yescharacteristic
307C22×C109#55011yescharacteristic
308C22×C109C2×#13511yescharacteristic
309C22×C109C2×AGL(1,ℤ/8)11yescharacteristic
310C22×C109#57711yescharacteristic
311C22×C109#57711yescharacteristic
312C4×C109—22no—
313C4×C109—22no—
314C4×C109—41no—
315C4×C109—41no—
316C4×C109—41no—
317C4×C109—41no—
318C4×C109—42no—
319C4×C109—81no—
320C4×C109—81no—
321C4×C109—81no—
322C4×C109—81no—
323C4×C109—81no—
324C4×C109#53811yescharacteristic
325C4×C109#54211yescharacteristic
326C4×C109#55111yescharacteristic
327C4×C109#56211yescharacteristic
328#32610C10911yesmaximal, characteristic, direct product factor, Sylow
329C2×C109—161no—
330C2×C109—161no—
331C2×C109#273011yescharacteristic
332C2×C109#318811yescharacteristic
333C2×C109#320011yescharacteristic
334C2×C109#336511yescharacteristic
335C2×C109#336811yescharacteristic
336C2×C109#339411yescharacteristic
337C2×C109#339711yescharacteristic
338#2581C2×C10911yescharacteristic, complemented
339#2548C2×C10911yescharacteristic
340#2092C2×C10911yescharacteristic, complemented
341#2073C2×C10911yescharacteristic, complemented
342#2067C2×C10911yescharacteristic, complemented
343#2055C2×C10911yescharacteristic, complemented
344#2041C2×C10911yescharacteristic
345#2014C2×C10911yescharacteristic
346#1984C2×C10911yescharacteristic, complemented
347#1968C2×C10911yescharacteristic, complemented
348#1934C2×C10911yescharacteristic, complemented
349#1928C2×C10911yescharacteristic, complemented
350#1919C2×C10911yescharacteristic, complemented
351#1880C2×C10911yescharacteristic, complemented
352#1880C2×C10911yescharacteristic, complemented
353C109#3261011yescharacteristic, direct product factor, Sylow
354C22×SD16C22×C10911yescharacteristic
355C22×SD16C22×C10911yescharacteristic
356C2×#127C22×C10911yescharacteristic
357C2×#124—21no—
358C2×C4×Q8C22×C10911yescharacteristic
359C2×C4×Q8C22×C10911yescharacteristic
360C2×#107C22×C10911yescharacteristic
361C2×#106C22×C10911yescharacteristic
362C2×C4⋊C8C22×C10911yescharacteristic
363C2×#103C22×C10911yescharacteristic
364C2×#103C22×C10911yescharacteristic
365C2×#102C22×C10911yescharacteristic
366C2×#102C22×C10911yescharacteristic
367C2×#102C22×C10911yescharacteristic
368C2×#102C22×C10911yescharacteristic
369C2×#102C22×C10911yescharacteristic
370C2×#102C22×C10911yescharacteristic
371C2×C4×C8C22×C10911yescharacteristic
372#400—21no—
373#395—21no—
374#394—21no—
375#394—21no—
376#391C22×C10911yescharacteristic
377#391C22×C10911yescharacteristic
378#390—21no—
379#390C22×C10911yescharacteristic
380#390C22×C10911yescharacteristic
381#390C22×C10911yescharacteristic
382#390C22×C10911yescharacteristic
383#389C22×C10911yescharacteristic
384#389C22×C10911yescharacteristic
385#387—21no—
386#387—21no—
387#382C22×C10911yescharacteristic
388C4×C4⋊C4C22×C10911yescharacteristic
389#340C22×C10911yescharacteristic
390#340C22×C10911yescharacteristic
391#340C22×C10911yescharacteristic
392#340C22×C10911yescharacteristic
393#336C22×C10911yescharacteristic
394#336C22×C10911yescharacteristic
395#336C22×C10911yescharacteristic
396#336C22×C10911yescharacteristic
397C22×Q8D4×C10911yescharacteristic
398C22×Q8C23×C10911yescharacteristic
399C22×D4—21no—
400C22×D4—21no—
401C22×D4C23×C10911yescharacteristic
402C22×D4C23×C10911yescharacteristic
403C2×SD16—22no—
404C2×SD16—22no—
405C2×SD16—22no—
406C2×SD16—41no—
407C2×SD16—41no—
408C2×SD16—41no—
409C22×C8C23×C10911yescharacteristic
410C22×C8C23×C10911yescharacteristic
411C22×C8C23×C10911yescharacteristic
412C22×C8C23×C10911yescharacteristic
413#127—41no—
414#127—41no—
415#124—44no—
416C4×Q8—41no—
417C4×Q8—41no—
418C4×Q8—41no—
419C4×Q8—41no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4D4×C10911yescharacteristic
424C2×C4⋊C4D4×C10911yescharacteristic
425C2×C4⋊C4D4×C10911yescharacteristic
426C2×C4⋊C4C23×C10911yescharacteristic
427C2×C4⋊C4C23×C10911yescharacteristic
428C2×C4⋊C4C23×C10911yescharacteristic
429C2×C4⋊C4C23×C10911yescharacteristic
430C2×C4⋊C4C23×C10911yescharacteristic
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C42—21no—
440C2×C42—21no—
441C2×C42C23×C10911yescharacteristic
442C2×C42C23×C10911yescharacteristic
443C2×C42C23×C10911yescharacteristic
444#107—41no—
445#106—22no—
446C4⋊C8—41no—
447#103—22no—
448#103—41no—
449#102—22no—
450#102—41no—
451#102—41no—
452#102—41no—
453#102—41no—
454#102—41no—
455C4×C8—41no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465C24—21no—
466C24—21no—
467C2×Q8—22no—
468C2×Q8—22no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—41no—
475C2×Q8#41×C10912yes—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—42no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—81no—
493C2×D4—81no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4C2×D4×C10911yescharacteristic
501C22×C4C2×D4×C10911yescharacteristic
502C22×C4C2×D4×C10911yescharacteristic
503C22×C4C2×D4×C10911yescharacteristic
504C22×C4C2×D4×C10911yescharacteristic
505C22×C4C2×D4×C10911yescharacteristic
506C22×C4C24×C10911yescharacteristic
507SD16—44no—
508SD16—44no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8#41×C10912yes—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—41no—
532C4⋊C4—41no—
533C4⋊C4—41no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—81no—
542C22⋊C4—81no—
543C22⋊C4—81no—
544C22⋊C4—81no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—42no—
552C42—42no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23C22×D4×C10911yescharacteristic
568Q8—22no—
569Q8—22no—
570Q8—44no—
571Q8—41no—
572Q8—41no—
573D4—41no—
574D4—41no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—84no—
582D4—84no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—22no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
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—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4#135×C10912yes—
618C2×C4AGL(1,ℤ/8)×C10912yes—
619C2×C4C2×#41×C10911yescharacteristic
620C2×C4C2×#41×C10911yescharacteristic
621C2×C4H(5,𝔽2)×C10911yescharacteristic
622C2×C4H(5,𝔽2)×C10911yescharacteristic
623C2×C4H(5,𝔽2)×C10911yescharacteristic
624C2×C42−1+4×C10911yescharacteristic
625C8—22no—
626C8—41no—
627C8—41no—
628C8—41no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22#534×C10911yescharacteristic
644C22#548×C10911yescharacteristic
645C22#550×C10911yescharacteristic
646C22C2×#135×C10911yescharacteristic
647C22C2×AGL(1,ℤ/8)×C10911yescharacteristic
648C22#577×C10911yescharacteristic
649C22#577×C10911yescharacteristic
650C4—22no—
651C4—22no—
652C4—41no—
653C4—41no—
654C4—41no—
655C4—42no—
656C4—41no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4—81no—
661C4—81no—
662C4#538×C10911yescharacteristic
663C4#542×C10911yescharacteristic
664C4#551×C10911yescharacteristic
665C4#562×C10911yescharacteristic
666C2—161no—
667C2—161no—
668C2C109×#273011yescharacteristic
669C2C109×#318811yescharacteristic
670C2C109×#320011yescharacteristic
671C2C109×#336511yescharacteristic
672C2C109×#336811yescharacteristic
673C2C109×#339411yescharacteristic
674C2C109×#339711yescharacteristic
subgroupG/H
center, socleC23×C109C22×D4
commutator, Frattini, cosocleC22×C4C24×C109
prime radicalC2×#127×C109C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C109 ◁ C2×C4×Q8×C109 ◁ G

Complements

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

NH ≅ G/Ntype
1. C109×#2581C2semidirect
3. C109×#2092C2semidirect
4. C109×#2073C2semidirect
5. C109×#2067C2semidirect
6. C109×#2055C2semidirect
9. C109×#1984C2semidirect
10. C109×#1968C2semidirect
11. C109×#1934C2semidirect
12. C109×#1928C2semidirect
13. C109×#1919C2semidirect
14. C109×#1880C2semidirect
15. C109×#1880C2semidirect
328. #32610C109direct (N × H)
338. #2581C2×C109semidirect
340. #2092C2×C109semidirect
341. #2073C2×C109semidirect
342. #2067C2×C109semidirect
343. #2055C2×C109semidirect
346. #1984C2×C109semidirect
347. #1968C2×C109semidirect
348. #1934C2×C109semidirect
349. #1928C2×C109semidirect
350. #1919C2×C109semidirect
351. #1880C2×C109semidirect
352. #1880C2×C109semidirect
353. C109#32610direct (N × H)

Maximal subgroups

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

subgroupindex
C109×#25812
C109×#25482
C109×#20922
C109×#20732
C109×#20672
C109×#20552
C109×#20412
C109×#20142
C109×#19842
C109×#19682
C109×#19342
C109×#19282
C109×#19192
C109×#18802
#32610109