Finite Group Databasebeta

← C109×#32170 #42150164

Subgroups — C109×#32170 #42150164

Order 27904.

792 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C109×#2544C211yesmaximal, characteristic
2C109×#2514C211yesmaximal, characteristic, complemented
3C109×#2073C211yesmaximal, characteristic, complemented
4C109×#2056C211yesmaximal, characteristic, complemented
5C109×#2042C211yesmaximal, characteristic, complemented
6C109×#2015C211yesmaximal, characteristic, complemented
7C109×#2015C211yesmaximal, characteristic, complemented
8C109×#2014C211yesmaximal, characteristic
9C109×#1982C211yesmaximal, characteristic
10C109×#1968C211yesmaximal, characteristic, complemented
11C109×#1958C211yesmaximal, characteristic, complemented
12C109×#1927C211yesmaximal, characteristic, complemented
13C109×#1916C211yesmaximal, characteristic, complemented
14C109×#1877C211yesmaximal, characteristic, complemented
15C109×#1864C211yesmaximal, characteristic, complemented
16C22×Q16×C109C2211yescharacteristic
17C22×SD16×C109C2211yescharacteristic
18C22×SD16×C109C2211yescharacteristic
19C2×#127×C109C2211yescharacteristic
20C2×#124×C109C2211yescharacteristic
21C2×#124×C109C2211yescharacteristic
22C2×C4×D4×C109C2211yescharacteristic
23C2×#106×C109C2211yescharacteristic
24C2×C4⋊C8×C109C2211yescharacteristic
25C2×#103×C109C2211yescharacteristic
26C2×#103×C109C2211yescharacteristic
27C2×#103×C109C2211yescharacteristic
28C2×#103×C109C2211yescharacteristic
29C2×#102×C109C2211yescharacteristic
30C2×#102×C109C2211yescharacteristic
31C2×#102×C109C2211yescharacteristic
32C2×#102×C109C2211yescharacteristic
33C2×#102×C109C2211yescharacteristic
34C2×#102×C109C2211yescharacteristic
35C2×C4×C8×C109C2211yescharacteristic
36#401×C109—21no—
37#400×C109—21no—
38#394×C109—21no—
39#394×C109—21no—
40#391×C109C2211yescharacteristic
41#391×C109C2211yescharacteristic
42#391×C109C2211yescharacteristic
43#391×C109C2211yescharacteristic
44#390×C109C2211yescharacteristic
45#389×C109C2211yescharacteristic
46#387×C109—21no—
47#386×C109—21no—
48#386×C109—21no—
49#383×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×C109—21no—
62C22×D4×C109—21no—
63C22×D4×C109C2311yescharacteristic
64C22×D4×C109C2311yescharacteristic
65C23×C4×C109—21no—
66C2×Q16×C109—41no—
67C2×Q16×C109—41no—
68C2×Q16×C109—41no—
69C2×SD16×C109—22no—
70C2×SD16×C109—22no—
71C2×SD16×C109—41no—
72C2×SD16×C109—41no—
73C2×SD16×C109—41no—
74C2×SD16×C109—41no—
75C22×C8×C109C2311yescharacteristic
76C22×C8×C109C2311yescharacteristic
77C22×C8×C109C2311yescharacteristic
78C22×C8×C109C2311yescharacteristic
79#127×C109—22no—
80#127×C109—41no—
81#124×C109—22no—
82#124×C109—41no—
83#124×C109—41no—
84#124×C109—41no—
85C4×D4×C109—41no—
86C4×D4×C109—41no—
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×C42×C109—21no—
102C2×C42×C109C2311yescharacteristic
103C2×C42×C109C2311yescharacteristic
104C2×C42×C109C2311yescharacteristic
105#106×C109—41no—
106C4⋊C8×C109—41no—
107#103×C109—22no—
108#103×C109—41no—
109#103×C109—41no—
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—
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—21no—
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—42no—
158C2×D4×C109—42no—
159C2×D4×C109—42no—
160C2×D4×C109—42no—
161C2×D4×C109—81no—
162C2×D4×C109—81no—
163C2×D4×C109#4112yes—
164C22×C4×C109—21no—
165C22×C4×C109—21no—
166C22×C4×C109—21no—
167C22×C4×C109—21no—
168C22×C4×C109—21no—
169C22×C4×C109—21no—
170C22×C4×C109—42no—
171C22×C4×C109—81no—
172C22×C4×C109—81no—
173C22×C4×C109C2×D411yescharacteristic
174C22×C4×C109C2×D411yescharacteristic
175C22×C4×C109C2×D411yescharacteristic
176C22×C4×C109C2×D411yescharacteristic
177C22×C4×C109C2×D411yescharacteristic
178C22×C4×C109C2×D411yescharacteristic
179C22×C4×C109C2411yescharacteristic
180Q16×C109—44no—
181SD16×C109—44no—
182SD16×C109—44no—
183C2×C8×C109—21no—
184C2×C8×C109—21no—
185C2×C8×C109—21no—
186C2×C8×C109—21no—
187C2×C8×C109—21no—
188C2×C8×C109—21no—
189C2×C8×C109—21no—
190C2×C8×C109—21no—
191C2×C8×C109—21no—
192C2×C8×C109—21no—
193C2×C8×C109—21no—
194C2×C8×C109#4112yes—
195C4⋊C4×C109—22no—
196C4⋊C4×C109—21no—
197C4⋊C4×C109—21no—
198C4⋊C4×C109—21no—
199C4⋊C4×C109—21no—
200C4⋊C4×C109—21no—
201C4⋊C4×C109—21no—
202C4⋊C4×C109—21no—
203C4⋊C4×C109—21no—
204C4⋊C4×C109—41no—
205C4⋊C4×C109—42no—
206C22⋊C4×C109—42no—
207C22⋊C4×C109—42no—
208C22⋊C4×C109—42no—
209C22⋊C4×C109—42no—
210C22⋊C4×C109—42no—
211C22⋊C4×C109—81no—
212C22⋊C4×C109—81no—
213C42×C109—21no—
214C42×C109—21no—
215C42×C109—21no—
216C42×C109—21no—
217C42×C109—21no—
218C42×C109—21no—
219C42×C109—42no—
220C23×C109—22no—
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—41no—
236Q8×C109—41no—
237Q8×C109—41no—
238Q8×C109—41no—
239Q8×C109—41no—
240Q8×C109—41no—
241Q8×C109—41no—
242Q8×C109—41no—
243D4×C109—22no—
244D4×C109—22no—
245D4×C109—41no—
246D4×C109—41no—
247D4×C109—41no—
248D4×C109—41no—
249D4×C109—41no—
250D4×C109—41no—
251D4×C109—84no—
252D4×C109—84no—
253C2×C4×C109—21no—
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—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—21no—
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—41no—
287C2×C4×C109—41no—
288C2×C4×C109—84no—
289C2×C4×C109#13512yes—
290C2×C4×C109C2×#4111yescharacteristic
291C2×C4×C109C2×#4111yescharacteristic
292C2×C4×C109H(5,𝔽2)11yescharacteristic
293C2×C4×C109H(5,𝔽2)11yescharacteristic
294C2×C4×C109H(5,𝔽2)11yescharacteristic
295C2×C4×C109H(5,𝔽2)11yescharacteristic
296C8×C109—22no—
297C8×C109—41no—
298C8×C109—41no—
299C8×C109—41no—
300C22×C109—42no—
301C22×C109—42no—
302C22×C109—42no—
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—81no—
312C22×C109—81no—
313C22×C109—81no—
314C22×C109#53511yescharacteristic
315C22×C109#54611yescharacteristic
316C22×C109#55011yescharacteristic
317C22×C109C2×#13511yescharacteristic
318C22×C109#57511yescharacteristic
319C22×C109#57711yescharacteristic
320C22×C109#57711yescharacteristic
321C4×C109—22no—
322C4×C109—41no—
323C4×C109—41no—
324C4×C109—41no—
325C4×C109—41no—
326C4×C109—41no—
327C4×C109—81no—
328C4×C109—81no—
329C4×C109—81no—
330C4×C109—81no—
331C4×C109—81no—
332C4×C109—81no—
333C4×C109#53811yescharacteristic
334C4×C109#53811yescharacteristic
335C4×C109#55311yescharacteristic
336C4×C109#56011yescharacteristic
337#32170C10911yesmaximal, characteristic, direct product factor, Sylow
338C2×C109—82no—
339C2×C109—161no—
340C2×C109#271411yescharacteristic
341C2×C109#321211yescharacteristic
342C2×C109#322211yescharacteristic
343C2×C109#329611yescharacteristic
344C2×C109#331111yescharacteristic
345C2×C109#339411yescharacteristic
346C2×C109#340111yescharacteristic
347#2544C2×C10911yescharacteristic
348#2514C2×C10911yescharacteristic, complemented
349#2073C2×C10911yescharacteristic, complemented
350#2056C2×C10911yescharacteristic, complemented
351#2042C2×C10911yescharacteristic, complemented
352#2015C2×C10911yescharacteristic, complemented
353#2015C2×C10911yescharacteristic, complemented
354#2014C2×C10911yescharacteristic
355#1982C2×C10911yescharacteristic
356#1968C2×C10911yescharacteristic, complemented
357#1958C2×C10911yescharacteristic, complemented
358#1927C2×C10911yescharacteristic, complemented
359#1916C2×C10911yescharacteristic, complemented
360#1877C2×C10911yescharacteristic, complemented
361#1864C2×C10911yescharacteristic, complemented
362C109#3217011yescharacteristic, direct product factor, Sylow
363C22×Q16C22×C10911yescharacteristic
364C22×SD16C22×C10911yescharacteristic
365C22×SD16C22×C10911yescharacteristic
366C2×#127C22×C10911yescharacteristic
367C2×#124C22×C10911yescharacteristic
368C2×#124C22×C10911yescharacteristic
369C2×C4×D4C22×C10911yescharacteristic
370C2×#106C22×C10911yescharacteristic
371C2×C4⋊C8C22×C10911yescharacteristic
372C2×#103C22×C10911yescharacteristic
373C2×#103C22×C10911yescharacteristic
374C2×#103C22×C10911yescharacteristic
375C2×#103C22×C10911yescharacteristic
376C2×#102C22×C10911yescharacteristic
377C2×#102C22×C10911yescharacteristic
378C2×#102C22×C10911yescharacteristic
379C2×#102C22×C10911yescharacteristic
380C2×#102C22×C10911yescharacteristic
381C2×#102C22×C10911yescharacteristic
382C2×C4×C8C22×C10911yescharacteristic
383#401—21no—
384#400—21no—
385#394—21no—
386#394—21no—
387#391C22×C10911yescharacteristic
388#391C22×C10911yescharacteristic
389#391C22×C10911yescharacteristic
390#391C22×C10911yescharacteristic
391#390C22×C10911yescharacteristic
392#389C22×C10911yescharacteristic
393#387—21no—
394#386—21no—
395#386—21no—
396#383—21no—
397#382C22×C10911yescharacteristic
398C4×C4⋊C4C22×C10911yescharacteristic
399C4×C4⋊C4C22×C10911yescharacteristic
400#340C22×C10911yescharacteristic
401#340C22×C10911yescharacteristic
402#336C22×C10911yescharacteristic
403#336C22×C10911yescharacteristic
404#336C22×C10911yescharacteristic
405#336C22×C10911yescharacteristic
406C22×Q8C23×C10911yescharacteristic
407C22×Q8C23×C10911yescharacteristic
408C22×D4—21no—
409C22×D4—21no—
410C22×D4C23×C10911yescharacteristic
411C22×D4C23×C10911yescharacteristic
412C23×C4—21no—
413C2×Q16—41no—
414C2×Q16—41no—
415C2×Q16—41no—
416C2×SD16—22no—
417C2×SD16—22no—
418C2×SD16—41no—
419C2×SD16—41no—
420C2×SD16—41no—
421C2×SD16—41no—
422C22×C8C23×C10911yescharacteristic
423C22×C8C23×C10911yescharacteristic
424C22×C8C23×C10911yescharacteristic
425C22×C8C23×C10911yescharacteristic
426#127—22no—
427#127—41no—
428#124—22no—
429#124—41no—
430#124—41no—
431#124—41no—
432C4×D4—41no—
433C4×D4—41no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4D4×C10911yescharacteristic
436C2×C4⋊C4D4×C10911yescharacteristic
437C2×C4⋊C4C23×C10911yescharacteristic
438C2×C4⋊C4C23×C10911yescharacteristic
439C2×C4⋊C4C23×C10911yescharacteristic
440C2×C4⋊C4C23×C10911yescharacteristic
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×C42—21no—
449C2×C42C23×C10911yescharacteristic
450C2×C42C23×C10911yescharacteristic
451C2×C42C23×C10911yescharacteristic
452#106—41no—
453C4⋊C8—41no—
454#103—22no—
455#103—41no—
456#103—41no—
457#103—41no—
458#102—22no—
459#102—41no—
460#102—41no—
461#102—41no—
462#102—41no—
463#102—41no—
464C4×C8—41no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95—21no—
474#95—21no—
475#95—21no—
476#95—21no—
477#95D4×C10911yescharacteristic
478#95D4×C10911yescharacteristic
479C24—21no—
480C24—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—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—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—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—42no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4—81no—
509C2×D4—81no—
510C2×D4#41×C10912yes—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—42no—
518C22×C4—81no—
519C22×C4—81no—
520C22×C4C2×D4×C10911yescharacteristic
521C22×C4C2×D4×C10911yescharacteristic
522C22×C4C2×D4×C10911yescharacteristic
523C22×C4C2×D4×C10911yescharacteristic
524C22×C4C2×D4×C10911yescharacteristic
525C22×C4C2×D4×C10911yescharacteristic
526C22×C4C24×C10911yescharacteristic
527Q16—44no—
528SD16—44no—
529SD16—44no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8#41×C10912yes—
542C4⋊C4—22no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—41no—
552C4⋊C4—42no—
553C22⋊C4—42no—
554C22⋊C4—42no—
555C22⋊C4—42no—
556C22⋊C4—42no—
557C22⋊C4—42no—
558C22⋊C4—81no—
559C22⋊C4—81no—
560C42—21no—
561C42—21no—
562C42—21no—
563C42—21no—
564C42—21no—
565C42—21no—
566C42—42no—
567C23—22no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23C22×D4×C10911yescharacteristic
582Q8—41no—
583Q8—41no—
584Q8—41no—
585Q8—41no—
586Q8—41no—
587Q8—41no—
588Q8—41no—
589Q8—41no—
590D4—22no—
591D4—22no—
592D4—41no—
593D4—41no—
594D4—41no—
595D4—41no—
596D4—41no—
597D4—41no—
598D4—84no—
599D4—84no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
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—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
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—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—84no—
636C2×C4#135×C10912yes—
637C2×C4C2×#41×C10911yescharacteristic
638C2×C4C2×#41×C10911yescharacteristic
639C2×C4H(5,𝔽2)×C10911yescharacteristic
640C2×C4H(5,𝔽2)×C10911yescharacteristic
641C2×C4H(5,𝔽2)×C10911yescharacteristic
642C2×C4H(5,𝔽2)×C10911yescharacteristic
643C8—22no—
644C8—41no—
645C8—41no—
646C8—41no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—81no—
651C22—81no—
652C22—81no—
653C22—81no—
654C22—81no—
655C22—81no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22#535×C10911yescharacteristic
662C22#546×C10911yescharacteristic
663C22#550×C10911yescharacteristic
664C22C2×#135×C10911yescharacteristic
665C22#575×C10911yescharacteristic
666C22#577×C10911yescharacteristic
667C22#577×C10911yescharacteristic
668C4—22no—
669C4—41no—
670C4—41no—
671C4—41no—
672C4—41no—
673C4—41no—
674C4—81no—
675C4—81no—
676C4—81no—
677C4—81no—
678C4—81no—
679C4—81no—
680C4#538×C10911yescharacteristic
681C4#538×C10911yescharacteristic
682C4#553×C10911yescharacteristic
683C4#560×C10911yescharacteristic
684C2—82no—
685C2—161no—
686C2C109×#271411yescharacteristic
687C2C109×#321211yescharacteristic
688C2C109×#322211yescharacteristic
689C2C109×#329611yescharacteristic
690C2C109×#331111yescharacteristic
691C2C109×#339411yescharacteristic
692C2C109×#340111yescharacteristic
subgroupG/H
center, socleC23×C109C22×D4
commutator, Frattini, cosocleC22×C4C24×C109
prime radicalC2×#127×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
2. C109×#2514C2semidirect
3. C109×#2073C2semidirect
4. C109×#2056C2semidirect
5. C109×#2042C2semidirect
6. C109×#2015C2semidirect
7. C109×#2015C2semidirect
10. C109×#1968C2semidirect
11. C109×#1958C2semidirect
12. C109×#1927C2semidirect
13. C109×#1916C2semidirect
14. C109×#1877C2semidirect
15. C109×#1864C2semidirect
337. #32170C109direct (N × H)
348. #2514C2×C109semidirect
349. #2073C2×C109semidirect
350. #2056C2×C109semidirect
351. #2042C2×C109semidirect
352. #2015C2×C109semidirect
353. #2015C2×C109semidirect
356. #1968C2×C109semidirect
357. #1958C2×C109semidirect
358. #1927C2×C109semidirect
359. #1916C2×C109semidirect
360. #1877C2×C109semidirect
361. #1864C2×C109semidirect
362. C109#32170direct (N × H)

Maximal subgroups

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

subgroupindex
C109×#25442
C109×#25142
C109×#20732
C109×#20562
C109×#20422
C109×#20152
C109×#20142
C109×#19822
C109×#19682
C109×#19582
C109×#19272
C109×#19162
C109×#18772
C109×#18642
#32170109