Finite Group Databasebeta

← C109×#35068 #42153062

Subgroups — C109×#35068 #42153062

Order 27904.

1968 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C109×#2865C211yesmaximal, characteristic, complemented
2C109×#2861C211yesmaximal, characteristic, complemented
3C109×#2854C211yesmaximal, characteristic, complemented
4C109×#2852C211yesmaximal, characteristic, complemented
5C109×#2654C211yesmaximal, characteristic, complemented
6C109×#2653C211yesmaximal, characteristic, complemented
7C109×#2651C211yesmaximal, characteristic, complemented
8C109×#2648C211yesmaximal, characteristic, complemented
9C109×#2595C211yesmaximal, characteristic, complemented
10C109×#2594C211yesmaximal, characteristic, complemented
11C109×#2558C211yesmaximal, characteristic, complemented
12C109×#2557C211yesmaximal, characteristic, complemented
13C109×#2532C211yesmaximal, characteristic, complemented
14C109×#2531C211yesmaximal, characteristic, complemented
15C109×#2510C211yesmaximal, characteristic, complemented
16C109×#2480C211yesmaximal, characteristic, complemented
17C109×#2479C211yesmaximal, characteristic, complemented
18C109×#2476C211yesmaximal, characteristic, complemented
19C109×#2473C211yesmaximal, characteristic, complemented
20C109×#2472C211yesmaximal, characteristic, complemented
21C109×#2450C211yesmaximal, characteristic, complemented
22C109×#2443C211yesmaximal, characteristic, complemented
23C109×#2424C211yesmaximal, characteristic
24C109×#2418C211yesmaximal, characteristic, complemented
25C109×#2329C211yesmaximal, characteristic, complemented
26C109×#2325C211yesmaximal, characteristic, complemented
27C109×#2321C211yesmaximal, characteristic, complemented
28C109×#2321C211yesmaximal, characteristic, complemented
29C109×#2290C211yesmaximal, characteristic, complemented
30C2×#388×C109C211yesmaximal, characteristic, complemented
31C42×D4×C109C211yesmaximal, characteristic, complemented
32C2×#126×C109C2211yescharacteristic
33C2×#125×C109C2211yescharacteristic, complemented
34C2×#124×C109C2211yescharacteristic
35C2×#123×C109C2211yescharacteristic
36C2×#123×C109C2211yescharacteristic, complemented
37C2×C22⋊Q8×C109C2211yescharacteristic
38C2×#121×C109C2211yescharacteristic
39C2×#121×C109C2211yescharacteristic
40C2×#120×C109C2211yescharacteristic
41C2×#120×C109C2211yescharacteristic
42C2×C4×D4×C109C2211yescharacteristic
43C2×C4×D4×C109C2211yescharacteristic
44C2×C4×D4×C109C2211yescharacteristic
45C2×C4×D4×C109C2211yescharacteristic
46C2×#117×C109C2211yescharacteristic, complemented
47C22×C4⋊C4×C109C2211yescharacteristic
48C22×C22⋊C4×C109C2211yescharacteristic
49C22×C22⋊C4×C109C2211yescharacteristic
50C22×C22⋊C4×C109C2211yescharacteristic
51C22×C42×C109C2211yescharacteristic
52C22×C42×C109C2211yescharacteristic, complemented
53#401×C109C2211yescharacteristic, complemented
54#400×C109C2211yescharacteristic, complemented
55#400×C109C2211yescharacteristic, complemented
56#400×C109C2211yescharacteristic, complemented
57#399×C109C2211yescharacteristic
58#399×C109C2211yescharacteristic, complemented
59#398×C109C2211yescharacteristic, complemented
60#398×C109C2211yescharacteristic, complemented
61#398×C109C2211yescharacteristic, complemented
62#398×C109C2211yescharacteristic, complemented
63#398×C109C2211yescharacteristic, complemented
64#397×C109C2211yescharacteristic
65#397×C109C2211yescharacteristic
66#397×C109C2211yescharacteristic
67#397×C109C2211yescharacteristic
68#397×C109C2211yescharacteristic
69#397×C109C2211yescharacteristic, complemented
70#397×C109C2211yescharacteristic, complemented
71#397×C109C2211yescharacteristic, complemented
72#396×C109C2211yescharacteristic
73#396×C109C2211yescharacteristic
74#396×C109C2211yescharacteristic, complemented
75#394×C109C2211yescharacteristic
76#394×C109C2211yescharacteristic
77#394×C109C2211yescharacteristic
78#394×C109C2211yescharacteristic
79#394×C109C2211yescharacteristic
80#394×C109C2211yescharacteristic
81#394×C109C2211yescharacteristic, complemented
82#393×C109C2211yescharacteristic
83#393×C109C2211yescharacteristic, complemented
84#392×C109C2211yescharacteristic
85#391×C109C2211yescharacteristic, complemented
86#391×C109C2211yescharacteristic, complemented
87#391×C109C2211yescharacteristic, complemented
88#390×C109C2211yescharacteristic
89#390×C109C2211yescharacteristic
90#390×C109C2211yescharacteristic
91#390×C109C2211yescharacteristic
92#390×C109C2211yescharacteristic
93#390×C109C2211yescharacteristic
94#389×C109C2211yescharacteristic, complemented
95#389×C109C2211yescharacteristic, complemented
96#389×C109C2211yescharacteristic, complemented
97#388×C109C2211yescharacteristic
98#388×C109C2211yescharacteristic
99#388×C109C2211yescharacteristic
100#388×C109C2211yescharacteristic
101#388×C109C2211yescharacteristic
102#388×C109C2211yescharacteristic
103#388×C109C2211yescharacteristic
104#388×C109C2211yescharacteristic
105#388×C109C2211yescharacteristic
106#388×C109C2211yescharacteristic
107#388×C109C2211yescharacteristic
108#388×C109C2211yescharacteristic
109#388×C109C2211yescharacteristic
110#388×C109C2211yescharacteristic
111#388×C109C2211yescharacteristic
112#388×C109C2211yescharacteristic
113#388×C109C2211yescharacteristic
114#388×C109C2211yescharacteristic
115#388×C109C2211yescharacteristic
116#388×C109C2211yescharacteristic
117#388×C109C2211yescharacteristic
118#388×C109C2211yescharacteristic
119#388×C109C2211yescharacteristic
120#388×C109C2211yescharacteristic
121#388×C109C2211yescharacteristic, complemented
122#388×C109C2211yescharacteristic, complemented
123#388×C109C2211yescharacteristic, complemented
124#388×C109C2211yescharacteristic, complemented
125#388×C109C2211yescharacteristic, complemented
126#388×C109C2211yescharacteristic, complemented
127#388×C109C2211yescharacteristic, complemented
128#387×C109C2211yescharacteristic, complemented
129#387×C109C2211yescharacteristic, complemented
130#387×C109C2211yescharacteristic, complemented
131#387×C109C2211yescharacteristic, complemented
132#387×C109C2211yescharacteristic, complemented
133#387×C109C2211yescharacteristic, complemented
134#387×C109C2211yescharacteristic, complemented
135#387×C109C2211yescharacteristic, complemented
136#387×C109C2211yescharacteristic, complemented
137#387×C109C2211yescharacteristic, complemented
138#387×C109C2211yescharacteristic, complemented
139#387×C109C2211yescharacteristic, complemented
140#387×C109C2211yescharacteristic, complemented
141#386×C109C2211yescharacteristic
142#386×C109C2211yescharacteristic
143#386×C109C2211yescharacteristic
144#386×C109C2211yescharacteristic
145#386×C109C2211yescharacteristic
146#386×C109C2211yescharacteristic
147#386×C109C2211yescharacteristic
148#386×C109C2211yescharacteristic
149#386×C109C2211yescharacteristic
150#386×C109C2211yescharacteristic
151#386×C109C2211yescharacteristic
152#386×C109C2211yescharacteristic
153#386×C109C2211yescharacteristic, complemented
154#386×C109C2211yescharacteristic, complemented
155#385×C109C2211yescharacteristic
156#385×C109C2211yescharacteristic
157#385×C109C2211yescharacteristic
158#385×C109C2211yescharacteristic
159#385×C109C2211yescharacteristic
160#385×C109C2211yescharacteristic
161#385×C109C2211yescharacteristic, complemented
162#385×C109C2211yescharacteristic, complemented
163#385×C109C2211yescharacteristic, complemented
164#385×C109C2211yescharacteristic, complemented
165#383×C109C2211yescharacteristic, complemented
166#380×C109C2211yescharacteristic
167#380×C109C2211yescharacteristic
168#380×C109C2211yescharacteristic, complemented
169#379×C109C2211yescharacteristic
170#379×C109C2211yescharacteristic
171C4×C4⋊C4×C109C2211yescharacteristic, complemented
172C4×C4⋊C4×C109C2211yescharacteristic, complemented
173C4×C4⋊C4×C109C2211yescharacteristic, complemented
174C4×C4⋊C4×C109C2211yescharacteristic, complemented
175C4×C22⋊C4×C109C2211yescharacteristic
176C4×C22⋊C4×C109C2211yescharacteristic
177C4×C22⋊C4×C109C2211yescharacteristic
178C4×C22⋊C4×C109C2211yescharacteristic
179C4×C22⋊C4×C109C2211yescharacteristic, complemented
180C4×C22⋊C4×C109C2211yescharacteristic, complemented
181C4×C22⋊C4×C109C2211yescharacteristic, complemented
182C4×C22⋊C4×C109C2211yescharacteristic, complemented
183#376×C109C2211yescharacteristic, complemented
184C2×#95×C109C2211yescharacteristic
185C2×#95×C109C2211yescharacteristic
186C43×C109C2211yescharacteristic, complemented
187C25×C109C2311yescharacteristic
188C22×Q8×C109C2311yescharacteristic
189C22×D4×C109C2311yescharacteristic
190C22×D4×C109C2311yescharacteristic
191C22×D4×C109C2311yescharacteristic
192C22×D4×C109C2311yescharacteristic
193C22×D4×C109C2311yescharacteristic
194C22×D4×C109C2311yescharacteristic
195C22×D4×C109C2311yescharacteristic
196C23×C4×C109C2311yescharacteristic
197C23×C4×C109C2311yescharacteristic
198C23×C4×C109C2311yescharacteristic
199C23×C4×C109C2311yescharacteristic
200C23×C4×C109C2311yescharacteristic
201C23×C4×C109C2311yescharacteristic
202C23×C4×C109C2311yescharacteristic
203C23×C4×C109C2311yescharacteristic
204C23×C4×C109C2311yescharacteristic
205C23×C4×C109C2311yescharacteristic
206#126×C109—42no—
207#125×C109—42no—
208#124×C109—42no—
209#123×C109—42no—
210#123×C109—42no—
211C22⋊Q8×C109—24no—
212#121×C109—24no—
213#121×C109—42no—
214#120×C109—24no—
215#120×C109—24no—
216C4×D4×C109—24no—
217C4×D4×C109—24no—
218C4×D4×C109—24no—
219C4×D4×C109—24no—
220#117×C109—42no—
221C2×C4⋊C4×C109—42no—
222C2×C4⋊C4×C109C2311yescharacteristic
223C2×C4⋊C4×C109C2311yescharacteristic
224C2×C4⋊C4×C109C2311yescharacteristic
225C2×C4⋊C4×C109C2311yescharacteristic
226C2×C4⋊C4×C109C2311yescharacteristic
227C2×C4⋊C4×C109C2311yescharacteristic
228C2×C4⋊C4×C109C2311yescharacteristic
229C2×C4⋊C4×C109C2311yescharacteristic
230C2×C4⋊C4×C109C2311yescharacteristic
231C2×C4⋊C4×C109C2311yescharacteristic
232C2×C4⋊C4×C109C2311yescharacteristic
233C2×C4⋊C4×C109C2311yescharacteristic
234C2×C4⋊C4×C109C2311yescharacteristic
235C2×C4⋊C4×C109C2311yescharacteristic
236C2×C4⋊C4×C109C2311yescharacteristic
237C2×C4⋊C4×C109C2311yescharacteristic
238C2×C4⋊C4×C109C2311yescharacteristic
239C2×C4⋊C4×C109C2311yescharacteristic
240C2×C4⋊C4×C109C2311yescharacteristic
241C2×C4⋊C4×C109C2311yescharacteristic
242C2×C4⋊C4×C109C2311yescharacteristic
243C2×C4⋊C4×C109C2311yescharacteristic
244C2×C4⋊C4×C109C2311yescharacteristic
245C2×C4⋊C4×C109C2311yescharacteristic
246C2×C4⋊C4×C109C2311yescharacteristic
247C2×C4⋊C4×C109C2311yescharacteristic
248C2×C4⋊C4×C109C2311yescharacteristic
249C2×C4⋊C4×C109C2311yescharacteristic
250C2×C22⋊C4×C109—24no—
251C2×C22⋊C4×C109—42no—
252C2×C22⋊C4×C109—42no—
253C2×C22⋊C4×C109C2311yescharacteristic
254C2×C22⋊C4×C109C2311yescharacteristic
255C2×C22⋊C4×C109C2311yescharacteristic
256C2×C22⋊C4×C109C2311yescharacteristic
257C2×C22⋊C4×C109C2311yescharacteristic
258C2×C22⋊C4×C109C2311yescharacteristic
259C2×C22⋊C4×C109C2311yescharacteristic
260C2×C22⋊C4×C109C2311yescharacteristic
261C2×C22⋊C4×C109C2311yescharacteristic
262C2×C22⋊C4×C109C2311yescharacteristic
263C2×C22⋊C4×C109C2311yescharacteristic
264C2×C22⋊C4×C109C2311yescharacteristic
265C2×C22⋊C4×C109C2311yescharacteristic
266C2×C22⋊C4×C109C2311yescharacteristic
267C2×C22⋊C4×C109C2311yescharacteristic
268C2×C22⋊C4×C109C2311yescharacteristic
269C2×C22⋊C4×C109C2311yescharacteristic
270C2×C22⋊C4×C109C2311yescharacteristic
271C2×C22⋊C4×C109C2311yescharacteristic
272C2×C22⋊C4×C109C2311yescharacteristic
273C2×C22⋊C4×C109C2311yescharacteristic
274C2×C22⋊C4×C109C2311yescharacteristic
275C2×C22⋊C4×C109C2311yescharacteristic
276C2×C22⋊C4×C109C2311yescharacteristic
277C2×C22⋊C4×C109C2311yescharacteristic
278C2×C22⋊C4×C109C2311yescharacteristic
279C2×C22⋊C4×C109C2311yescharacteristic
280C2×C22⋊C4×C109C2311yescharacteristic
281C2×C22⋊C4×C109C2311yescharacteristic
282C2×C22⋊C4×C109C2311yescharacteristic
283C2×C22⋊C4×C109C2311yescharacteristic
284C2×C22⋊C4×C109C2311yescharacteristic
285C2×C22⋊C4×C109C2311yescharacteristic
286C2×C22⋊C4×C109C2311yescharacteristic
287C2×C22⋊C4×C109C2311yescharacteristic
288C2×C22⋊C4×C109C2311yescharacteristic
289C2×C22⋊C4×C109C2311yescharacteristic
290C2×C22⋊C4×C109C2311yescharacteristic
291C2×C22⋊C4×C109C2311yescharacteristic
292C2×C22⋊C4×C109C2311yescharacteristic
293C2×C22⋊C4×C109C2311yescharacteristic
294C2×C22⋊C4×C109C2311yescharacteristic
295C2×C22⋊C4×C109C2311yescharacteristic
296C2×C22⋊C4×C109C2311yescharacteristic
297C2×C22⋊C4×C109C2311yescharacteristic
298C2×C22⋊C4×C109C2311yescharacteristic
299C2×C22⋊C4×C109C2311yescharacteristic
300C2×C22⋊C4×C109C2311yescharacteristic
301C2×C42×C109—42no—
302C2×C42×C109—42no—
303C2×C42×C109C2311yescharacteristic
304C2×C42×C109C2311yescharacteristic
305C2×C42×C109C2311yescharacteristic
306C2×C42×C109C2311yescharacteristic
307C2×C42×C109C2311yescharacteristic
308C2×C42×C109C2311yescharacteristic
309C2×C42×C109C2311yescharacteristic
310C2×C42×C109C2311yescharacteristic
311C2×C42×C109C2311yescharacteristic
312C2×C42×C109C2311yescharacteristic
313C2×C42×C109C2311yescharacteristic
314C2×C42×C109C2311yescharacteristic
315C2×C42×C109C2311yescharacteristic
316C2×C42×C109C2311yescharacteristic
317C2×C42×C109C2311yescharacteristic
318C2×C42×C109C2311yescharacteristic
319#95×C109C2311yescharacteristic
320#95×C109C2311yescharacteristic
321#95×C109C2311yescharacteristic
322#95×C109C2311yescharacteristic
323#95×C109C2311yescharacteristic
324#95×C109C2311yescharacteristic
325#95×C109C2311yescharacteristic
326#95×C109C2311yescharacteristic
327#95×C109C2311yescharacteristic
328#95×C109C2311yescharacteristic
329#95×C109C2311yescharacteristic
330#95×C109C2311yescharacteristic
331#95×C109C2311yescharacteristic
332#95×C109C2311yescharacteristic
333#95×C109C2311yescharacteristic
334#95×C109C2311yescharacteristic
335#95×C109C2311yescharacteristic
336#95×C109C2311yescharacteristic
337#95×C109C2311yescharacteristic
338#95×C109C2311yescharacteristic
339#95×C109C2311yescharacteristic
340#95×C109C2311yescharacteristic
341#95×C109C2311yescharacteristic
342#95×C109C2311yescharacteristic
343#95×C109C2311yescharacteristic
344#95×C109C2311yescharacteristic
345#95×C109C2311yescharacteristic
346#95×C109C2311yescharacteristic
347#95×C109C2311yescharacteristic
348#95×C109C2311yescharacteristic
349#95×C109C2311yescharacteristic
350#95×C109C2311yescharacteristic
351#95×C109C2311yescharacteristic
352#95×C109C2311yescharacteristic
353#95×C109C2311yescharacteristic
354#95×C109C2311yescharacteristic
355#95×C109C2311yescharacteristic
356#95×C109C2311yescharacteristic
357#95×C109C2311yescharacteristic
358#95×C109C2311yescharacteristic
359#95×C109C2311yescharacteristic
360#95×C109C2311yescharacteristic
361#95×C109C2311yescharacteristic
362#95×C109C2311yescharacteristic
363C24×C109—22no—
364C24×C109—22no—
365C24×C109—22no—
366C24×C109—41no—
367C24×C109—41no—
368C24×C109—41no—
369C24×C109—41no—
370C24×C109C2411yescharacteristic
371C24×C109C2411yescharacteristic
372C24×C109C2411yescharacteristic
373C24×C109C2411yescharacteristic
374C24×C109C2411yescharacteristic
375C2×Q8×C109—22no—
376C2×Q8×C109—41no—
377C2×Q8×C109—41no—
378C2×D4×C109—22no—
379C2×D4×C109—22no—
380C2×D4×C109—22no—
381C2×D4×C109—22no—
382C2×D4×C109—22no—
383C2×D4×C109—22no—
384C2×D4×C109—22no—
385C2×D4×C109—22no—
386C2×D4×C109—22no—
387C2×D4×C109—22no—
388C2×D4×C109—41no—
389C2×D4×C109—41no—
390C2×D4×C109—41no—
391C2×D4×C109—41no—
392C2×D4×C109—41no—
393C2×D4×C109—41no—
394C2×D4×C109—41no—
395C2×D4×C109—41no—
396C2×D4×C109—41no—
397C2×D4×C109—41no—
398C2×D4×C109#4114yes—
399C22×C4×C109—22no—
400C22×C4×C109—22no—
401C22×C4×C109—22no—
402C22×C4×C109—22no—
403C22×C4×C109—22no—
404C22×C4×C109—22no—
405C22×C4×C109—22no—
406C22×C4×C109—22no—
407C22×C4×C109—22no—
408C22×C4×C109—22no—
409C22×C4×C109—22no—
410C22×C4×C109—22no—
411C22×C4×C109—22no—
412C22×C4×C109—41no—
413C22×C4×C109—41no—
414C22×C4×C109—41no—
415C22×C4×C109—41no—
416C22×C4×C109—41no—
417C22×C4×C109—41no—
418C22×C4×C109—41no—
419C22×C4×C109—41no—
420C22×C4×C109—41no—
421C22×C4×C109—41no—
422C22×C4×C109—41no—
423C22×C4×C109—41no—
424C22×C4×C109—41no—
425C22×C4×C109—41no—
426C22×C4×C109—41no—
427C22×C4×C109—41no—
428C22×C4×C109#4114yes—
429C22×C4×C109C2411yescharacteristic
430C22×C4×C109C2411yescharacteristic
431C22×C4×C109C2411yescharacteristic
432C22×C4×C109C2411yescharacteristic
433C22×C4×C109C2411yescharacteristic
434C22×C4×C109C2411yescharacteristic
435C22×C4×C109C2411yescharacteristic
436C22×C4×C109C2411yescharacteristic
437C22×C4×C109C2411yescharacteristic
438C22×C4×C109C2411yescharacteristic
439C22×C4×C109C2411yescharacteristic
440C22×C4×C109C2411yescharacteristic
441C22×C4×C109C2411yescharacteristic
442C22×C4×C109C2411yescharacteristic
443C22×C4×C109C2411yescharacteristic
444C22×C4×C109C2411yescharacteristic
445C22×C4×C109C2411yescharacteristic
446C22×C4×C109C2411yescharacteristic
447C22×C4×C109C2411yescharacteristic
448C22×C4×C109C2411yescharacteristic
449C22×C4×C109C2411yescharacteristic
450C22×C4×C109C2411yescharacteristic
451C22×C4×C109C2411yescharacteristic
452C22×C4×C109C2411yescharacteristic
453C22×C4×C109C2411yescharacteristic
454C22×C4×C109C2411yescharacteristic
455C4⋊C4×C109—22no—
456C4⋊C4×C109—22no—
457C4⋊C4×C109—22no—
458C4⋊C4×C109—22no—
459C4⋊C4×C109—22no—
460C4⋊C4×C109—22no—
461C4⋊C4×C109—22no—
462C4⋊C4×C109—22no—
463C4⋊C4×C109—22no—
464C4⋊C4×C109—22no—
465C4⋊C4×C109—22no—
466C4⋊C4×C109—22no—
467C4⋊C4×C109—41no—
468C4⋊C4×C109—41no—
469C4⋊C4×C109—41no—
470C4⋊C4×C109—41no—
471C4⋊C4×C109—41no—
472C4⋊C4×C109—41no—
473C4⋊C4×C109—41no—
474C4⋊C4×C109—41no—
475C4⋊C4×C109—41no—
476C4⋊C4×C109—41no—
477C4⋊C4×C109—41no—
478C4⋊C4×C109—41no—
479C4⋊C4×C109—41no—
480C4⋊C4×C109—41no—
481C4⋊C4×C109—41no—
482C4⋊C4×C109—41no—
483C22⋊C4×C109—22no—
484C22⋊C4×C109—22no—
485C22⋊C4×C109—22no—
486C22⋊C4×C109—22no—
487C22⋊C4×C109—22no—
488C22⋊C4×C109—22no—
489C22⋊C4×C109—22no—
490C22⋊C4×C109—22no—
491C22⋊C4×C109—22no—
492C22⋊C4×C109—22no—
493C22⋊C4×C109—22no—
494C22⋊C4×C109—22no—
495C22⋊C4×C109—22no—
496C22⋊C4×C109—22no—
497C22⋊C4×C109—22no—
498C22⋊C4×C109—22no—
499C22⋊C4×C109—22no—
500C22⋊C4×C109—22no—
501C22⋊C4×C109—22no—
502C22⋊C4×C109—22no—
503C22⋊C4×C109—22no—
504C22⋊C4×C109—22no—
505C22⋊C4×C109—22no—
506C22⋊C4×C109—22no—
507C22⋊C4×C109—22no—
508C22⋊C4×C109—41no—
509C22⋊C4×C109—41no—
510C22⋊C4×C109—41no—
511C22⋊C4×C109—41no—
512C22⋊C4×C109—41no—
513C22⋊C4×C109—41no—
514C22⋊C4×C109—41no—
515C22⋊C4×C109—41no—
516C22⋊C4×C109—41no—
517C22⋊C4×C109—41no—
518C22⋊C4×C109—41no—
519C22⋊C4×C109—41no—
520C22⋊C4×C109—41no—
521C22⋊C4×C109—41no—
522C22⋊C4×C109—41no—
523C22⋊C4×C109—41no—
524C22⋊C4×C109—41no—
525C22⋊C4×C109—41no—
526C22⋊C4×C109—41no—
527C22⋊C4×C109—41no—
528C22⋊C4×C109—41no—
529C22⋊C4×C109—41no—
530C22⋊C4×C109#4114yes—
531C42×C109—22no—
532C42×C109—22no—
533C42×C109—22no—
534C42×C109—22no—
535C42×C109—22no—
536C42×C109—22no—
537C42×C109—22no—
538C42×C109—22no—
539C42×C109—41no—
540C42×C109—41no—
541C42×C109—41no—
542C42×C109—41no—
543C42×C109—41no—
544C42×C109—41no—
545C42×C109—41no—
546C42×C109—41no—
547C23×C109—21no—
548C23×C109—21no—
549C23×C109—21no—
550C23×C109—21no—
551C23×C109—21no—
552C23×C109—21no—
553C23×C109—21no—
554C23×C109—21no—
555C23×C109—21no—
556C23×C109—21no—
557C23×C109—21no—
558C23×C109—21no—
559C23×C109—21no—
560C23×C109—21no—
561C23×C109—21no—
562C23×C109—21no—
563C23×C109—21no—
564C23×C109—21no—
565C23×C109—21no—
566C23×C109—21no—
567C23×C109—21no—
568C23×C109—21no—
569C23×C109—21no—
570C23×C109—21no—
571C23×C109—21no—
572C23×C109—21no—
573C23×C109—21no—
574C23×C109—21no—
575C23×C109—21no—
576C23×C109—21no—
577C23×C109—21no—
578C23×C109—44no—
579C23×C109—44no—
580C23×C109—44no—
581C23×C109—82no—
582C23×C109—82no—
583C23×C109—82no—
584C23×C109—82no—
585C23×C109C2×#4112yes—
586C23×C109C2×#4112yes—
587C23×C109C2×#4112yes—
588C23×C109C2×#4112yes—
589C23×C109C2511yescharacteristic
590Q8×C109—82no—
591D4×C109—28no—
592D4×C109—44no—
593D4×C109—82no—
594D4×C109—82no—
595D4×C109—82no—
596D4×C109—82no—
597D4×C109—82no—
598C2×C4×C109—21no—
599C2×C4×C109—21no—
600C2×C4×C109—21no—
601C2×C4×C109—21no—
602C2×C4×C109—21no—
603C2×C4×C109—21no—
604C2×C4×C109—21no—
605C2×C4×C109—21no—
606C2×C4×C109—21no—
607C2×C4×C109—21no—
608C2×C4×C109—21no—
609C2×C4×C109—21no—
610C2×C4×C109—21no—
611C2×C4×C109—21no—
612C2×C4×C109—21no—
613C2×C4×C109—21no—
614C2×C4×C109—21no—
615C2×C4×C109—21no—
616C2×C4×C109—21no—
617C2×C4×C109—21no—
618C2×C4×C109—21no—
619C2×C4×C109—21no—
620C2×C4×C109—21no—
621C2×C4×C109—21no—
622C2×C4×C109—21no—
623C2×C4×C109—21no—
624C2×C4×C109—21no—
625C2×C4×C109—21no—
626C2×C4×C109—21no—
627C2×C4×C109—21no—
628C2×C4×C109—21no—
629C2×C4×C109—21no—
630C2×C4×C109—21no—
631C2×C4×C109—21no—
632C2×C4×C109—21no—
633C2×C4×C109—21no—
634C2×C4×C109—21no—
635C2×C4×C109—21no—
636C2×C4×C109—21no—
637C2×C4×C109—21no—
638C2×C4×C109—21no—
639C2×C4×C109—21no—
640C2×C4×C109—21no—
641C2×C4×C109—21no—
642C2×C4×C109—21no—
643C2×C4×C109—21no—
644C2×C4×C109—21no—
645C2×C4×C109—21no—
646C2×C4×C109—21no—
647C2×C4×C109—21no—
648C2×C4×C109—21no—
649C2×C4×C109—21no—
650C2×C4×C109—21no—
651C2×C4×C109—21no—
652C2×C4×C109—21no—
653C2×C4×C109—21no—
654C2×C4×C109—21no—
655C2×C4×C109—21no—
656C2×C4×C109—21no—
657C2×C4×C109—21no—
658C2×C4×C109—21no—
659C2×C4×C109—21no—
660C2×C4×C109—21no—
661C2×C4×C109—21no—
662C2×C4×C109—21no—
663C2×C4×C109—21no—
664C2×C4×C109—21no—
665C2×C4×C109—21no—
666C2×C4×C109—21no—
667C2×C4×C109—21no—
668C2×C4×C109—21no—
669C2×C4×C109—44no—
670C2×C4×C109—44no—
671C2×C4×C109—44no—
672C2×C4×C109—44no—
673C2×C4×C109—44no—
674C2×C4×C109—44no—
675C2×C4×C109—44no—
676C2×C4×C109—44no—
677C2×C4×C109—82no—
678C2×C4×C109—82no—
679C2×C4×C109C2×#4112yes—
680C2×C4×C109C2×#4112yes—
681C2×C4×C109C2×#4112yes—
682C2×C4×C109C2×#4112yes—
683C2×C4×C109C2×#4112yes—
684C2×C4×C109H(5,𝔽2)12yes—
685C2×C4×C109H(5,𝔽2)12yes—
686C22×C109—22no—
687C22×C109—22no—
688C22×C109—22no—
689C22×C109—22no—
690C22×C109—22no—
691C22×C109—22no—
692C22×C109—22no—
693C22×C109—22no—
694C22×C109—22no—
695C22×C109—41no—
696C22×C109—41no—
697C22×C109—41no—
698C22×C109—41no—
699C22×C109—41no—
700C22×C109—41no—
701C22×C109—41no—
702C22×C109—41no—
703C22×C109—41no—
704C22×C109—41no—
705C22×C109—41no—
706C22×C109—41no—
707C22×C109—41no—
708C22×C109—41no—
709C22×C109—41no—
710C22×C109—41no—
711C22×C109—41no—
712C22×C109—41no—
713C22×C109—41no—
714C22×C109—41no—
715C22×C109—41no—
716C22×C109—41no—
717C22×C109—41no—
718C22×C109—41no—
719C22×C109—41no—
720C22×C109—88no—
721C22×C109#52914yes—
722C22×C109C22×#4111yescharacteristic
723C22×C109C22×#4111yescharacteristic
724C22×C109C22×#4111yescharacteristic
725C22×C109C2×H(5,𝔽2)11yescharacteristic
726C22×C109C2×H(5,𝔽2)11yescharacteristic
727C22×C109#58511yescharacteristic
728C22×C109#58511yescharacteristic
729C4×C109—22no—
730C4×C109—22no—
731C4×C109—22no—
732C4×C109—22no—
733C4×C109—22no—
734C4×C109—22no—
735C4×C109—22no—
736C4×C109—41no—
737C4×C109—41no—
738C4×C109—41no—
739C4×C109—41no—
740C4×C109—41no—
741C4×C109—41no—
742C4×C109—41no—
743C4×C109—41no—
744C4×C109—41no—
745C4×C109—41no—
746C4×C109—41no—
747C4×C109—41no—
748C4×C109—41no—
749C4×C109—41no—
750C4×C109—41no—
751C4×C109—41no—
752C4×C109—41no—
753C4×C109—41no—
754C4×C109—41no—
755#35068C10911yesmaximal, characteristic, direct product factor, Sylow
756C2×C109—24no—
757C2×C109—42no—
758C2×C109—81no—
759C2×C109—81no—
760C2×C109—81no—
761C2×C109C2×#52911yescharacteristic
762C2×C109#345911yescharacteristic
763C2×C109#346011yescharacteristic
764C2×C109#351311yescharacteristic
765C2×C109#351411yescharacteristic
766C2×C109#351911yescharacteristic
767C2×C109#352111yescharacteristic
768#2865C2×C10911yescharacteristic, complemented
769#2861C2×C10911yescharacteristic, complemented
770#2854C2×C10911yescharacteristic, complemented
771#2852C2×C10911yescharacteristic, complemented
772#2654C2×C10911yescharacteristic, complemented
773#2653C2×C10911yescharacteristic, complemented
774#2651C2×C10911yescharacteristic, complemented
775#2648C2×C10911yescharacteristic, complemented
776#2595C2×C10911yescharacteristic, complemented
777#2594C2×C10911yescharacteristic, complemented
778#2558C2×C10911yescharacteristic, complemented
779#2557C2×C10911yescharacteristic, complemented
780#2532C2×C10911yescharacteristic, complemented
781#2531C2×C10911yescharacteristic, complemented
782#2510C2×C10911yescharacteristic, complemented
783#2480C2×C10911yescharacteristic, complemented
784#2479C2×C10911yescharacteristic, complemented
785#2476C2×C10911yescharacteristic, complemented
786#2473C2×C10911yescharacteristic, complemented
787#2472C2×C10911yescharacteristic, complemented
788#2450C2×C10911yescharacteristic, complemented
789#2443C2×C10911yescharacteristic, complemented
790#2424C2×C10911yescharacteristic
791#2418C2×C10911yescharacteristic, complemented
792#2329C2×C10911yescharacteristic, complemented
793#2325C2×C10911yescharacteristic, complemented
794#2321C2×C10911yescharacteristic, complemented
795#2321C2×C10911yescharacteristic, complemented
796#2290C2×C10911yescharacteristic, complemented
797C2×#388C2×C10911yescharacteristic, complemented
798C42×D4C2×C10911yescharacteristic, complemented
799C109#3506811yescharacteristic, direct product factor, Sylow
800C2×#126C22×C10911yescharacteristic
801C2×#125C22×C10911yescharacteristic, complemented
802C2×#124C22×C10911yescharacteristic
803C2×#123C22×C10911yescharacteristic
804C2×#123C22×C10911yescharacteristic, complemented
805C2×C22⋊Q8C22×C10911yescharacteristic
806C2×#121C22×C10911yescharacteristic
807C2×#121C22×C10911yescharacteristic
808C2×#120C22×C10911yescharacteristic
809C2×#120C22×C10911yescharacteristic
810C2×C4×D4C22×C10911yescharacteristic
811C2×C4×D4C22×C10911yescharacteristic
812C2×C4×D4C22×C10911yescharacteristic
813C2×C4×D4C22×C10911yescharacteristic
814C2×#117C22×C10911yescharacteristic, complemented
815C22×C4⋊C4C22×C10911yescharacteristic
816C22×C22⋊C4C22×C10911yescharacteristic
817C22×C22⋊C4C22×C10911yescharacteristic
818C22×C22⋊C4C22×C10911yescharacteristic
819C22×C42C22×C10911yescharacteristic
820C22×C42C22×C10911yescharacteristic, complemented
821#401C22×C10911yescharacteristic, complemented
822#400C22×C10911yescharacteristic, complemented
823#400C22×C10911yescharacteristic, complemented
824#400C22×C10911yescharacteristic, complemented
825#399C22×C10911yescharacteristic
826#399C22×C10911yescharacteristic, complemented
827#398C22×C10911yescharacteristic, complemented
828#398C22×C10911yescharacteristic, complemented
829#398C22×C10911yescharacteristic, complemented
830#398C22×C10911yescharacteristic, complemented
831#398C22×C10911yescharacteristic, complemented
832#397C22×C10911yescharacteristic
833#397C22×C10911yescharacteristic
834#397C22×C10911yescharacteristic
835#397C22×C10911yescharacteristic
836#397C22×C10911yescharacteristic
837#397C22×C10911yescharacteristic, complemented
838#397C22×C10911yescharacteristic, complemented
839#397C22×C10911yescharacteristic, complemented
840#396C22×C10911yescharacteristic
841#396C22×C10911yescharacteristic
842#396C22×C10911yescharacteristic, complemented
843#394C22×C10911yescharacteristic
844#394C22×C10911yescharacteristic
845#394C22×C10911yescharacteristic
846#394C22×C10911yescharacteristic
847#394C22×C10911yescharacteristic
848#394C22×C10911yescharacteristic
849#394C22×C10911yescharacteristic, complemented
850#393C22×C10911yescharacteristic
851#393C22×C10911yescharacteristic, complemented
852#392C22×C10911yescharacteristic
853#391C22×C10911yescharacteristic, complemented
854#391C22×C10911yescharacteristic, complemented
855#391C22×C10911yescharacteristic, complemented
856#390C22×C10911yescharacteristic
857#390C22×C10911yescharacteristic
858#390C22×C10911yescharacteristic
859#390C22×C10911yescharacteristic
860#390C22×C10911yescharacteristic
861#390C22×C10911yescharacteristic
862#389C22×C10911yescharacteristic, complemented
863#389C22×C10911yescharacteristic, complemented
864#389C22×C10911yescharacteristic, complemented
865#388C22×C10911yescharacteristic
866#388C22×C10911yescharacteristic
867#388C22×C10911yescharacteristic
868#388C22×C10911yescharacteristic
869#388C22×C10911yescharacteristic
870#388C22×C10911yescharacteristic
871#388C22×C10911yescharacteristic
872#388C22×C10911yescharacteristic
873#388C22×C10911yescharacteristic
874#388C22×C10911yescharacteristic
875#388C22×C10911yescharacteristic
876#388C22×C10911yescharacteristic
877#388C22×C10911yescharacteristic
878#388C22×C10911yescharacteristic
879#388C22×C10911yescharacteristic
880#388C22×C10911yescharacteristic
881#388C22×C10911yescharacteristic
882#388C22×C10911yescharacteristic
883#388C22×C10911yescharacteristic
884#388C22×C10911yescharacteristic
885#388C22×C10911yescharacteristic
886#388C22×C10911yescharacteristic
887#388C22×C10911yescharacteristic
888#388C22×C10911yescharacteristic
889#388C22×C10911yescharacteristic, complemented
890#388C22×C10911yescharacteristic, complemented
891#388C22×C10911yescharacteristic, complemented
892#388C22×C10911yescharacteristic, complemented
893#388C22×C10911yescharacteristic, complemented
894#388C22×C10911yescharacteristic, complemented
895#388C22×C10911yescharacteristic, complemented
896#387C22×C10911yescharacteristic, complemented
897#387C22×C10911yescharacteristic, complemented
898#387C22×C10911yescharacteristic, complemented
899#387C22×C10911yescharacteristic, complemented
900#387C22×C10911yescharacteristic, complemented
901#387C22×C10911yescharacteristic, complemented
902#387C22×C10911yescharacteristic, complemented
903#387C22×C10911yescharacteristic, complemented
904#387C22×C10911yescharacteristic, complemented
905#387C22×C10911yescharacteristic, complemented
906#387C22×C10911yescharacteristic, complemented
907#387C22×C10911yescharacteristic, complemented
908#387C22×C10911yescharacteristic, complemented
909#386C22×C10911yescharacteristic
910#386C22×C10911yescharacteristic
911#386C22×C10911yescharacteristic
912#386C22×C10911yescharacteristic
913#386C22×C10911yescharacteristic
914#386C22×C10911yescharacteristic
915#386C22×C10911yescharacteristic
916#386C22×C10911yescharacteristic
917#386C22×C10911yescharacteristic
918#386C22×C10911yescharacteristic
919#386C22×C10911yescharacteristic
920#386C22×C10911yescharacteristic
921#386C22×C10911yescharacteristic, complemented
922#386C22×C10911yescharacteristic, complemented
923#385C22×C10911yescharacteristic
924#385C22×C10911yescharacteristic
925#385C22×C10911yescharacteristic
926#385C22×C10911yescharacteristic
927#385C22×C10911yescharacteristic
928#385C22×C10911yescharacteristic
929#385C22×C10911yescharacteristic, complemented
930#385C22×C10911yescharacteristic, complemented
931#385C22×C10911yescharacteristic, complemented
932#385C22×C10911yescharacteristic, complemented
933#383C22×C10911yescharacteristic, complemented
934#380C22×C10911yescharacteristic
935#380C22×C10911yescharacteristic
936#380C22×C10911yescharacteristic, complemented
937#379C22×C10911yescharacteristic
938#379C22×C10911yescharacteristic
939C4×C4⋊C4C22×C10911yescharacteristic, complemented
940C4×C4⋊C4C22×C10911yescharacteristic, complemented
941C4×C4⋊C4C22×C10911yescharacteristic, complemented
942C4×C4⋊C4C22×C10911yescharacteristic, complemented
943C4×C22⋊C4C22×C10911yescharacteristic
944C4×C22⋊C4C22×C10911yescharacteristic
945C4×C22⋊C4C22×C10911yescharacteristic
946C4×C22⋊C4C22×C10911yescharacteristic
947C4×C22⋊C4C22×C10911yescharacteristic, complemented
948C4×C22⋊C4C22×C10911yescharacteristic, complemented
949C4×C22⋊C4C22×C10911yescharacteristic, complemented
950C4×C22⋊C4C22×C10911yescharacteristic, complemented
951#376C22×C10911yescharacteristic, complemented
952C2×#95C22×C10911yescharacteristic
953C2×#95C22×C10911yescharacteristic
954C43C22×C10911yescharacteristic, complemented
955C25C23×C10911yescharacteristic
956C22×Q8C23×C10911yescharacteristic
957C22×D4C23×C10911yescharacteristic
958C22×D4C23×C10911yescharacteristic
959C22×D4C23×C10911yescharacteristic
960C22×D4C23×C10911yescharacteristic
961C22×D4C23×C10911yescharacteristic
962C22×D4C23×C10911yescharacteristic
963C22×D4C23×C10911yescharacteristic
964C23×C4C23×C10911yescharacteristic
965C23×C4C23×C10911yescharacteristic
966C23×C4C23×C10911yescharacteristic
967C23×C4C23×C10911yescharacteristic
968C23×C4C23×C10911yescharacteristic
969C23×C4C23×C10911yescharacteristic
970C23×C4C23×C10911yescharacteristic
971C23×C4C23×C10911yescharacteristic
972C23×C4C23×C10911yescharacteristic
973C23×C4C23×C10911yescharacteristic
974#126—42no—
975#125—42no—
976#124—42no—
977#123—42no—
978#123—42no—
979C22⋊Q8—24no—
980#121—24no—
981#121—42no—
982#120—24no—
983#120—24no—
984C4×D4—24no—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—24no—
988#117—42no—
989C2×C4⋊C4—42no—
990C2×C4⋊C4C23×C10911yescharacteristic
991C2×C4⋊C4C23×C10911yescharacteristic
992C2×C4⋊C4C23×C10911yescharacteristic
993C2×C4⋊C4C23×C10911yescharacteristic
994C2×C4⋊C4C23×C10911yescharacteristic
995C2×C4⋊C4C23×C10911yescharacteristic
996C2×C4⋊C4C23×C10911yescharacteristic
997C2×C4⋊C4C23×C10911yescharacteristic
998C2×C4⋊C4C23×C10911yescharacteristic
999C2×C4⋊C4C23×C10911yescharacteristic
1000C2×C4⋊C4C23×C10911yescharacteristic
1001C2×C4⋊C4C23×C10911yescharacteristic
1002C2×C4⋊C4C23×C10911yescharacteristic
1003C2×C4⋊C4C23×C10911yescharacteristic
1004C2×C4⋊C4C23×C10911yescharacteristic
1005C2×C4⋊C4C23×C10911yescharacteristic
1006C2×C4⋊C4C23×C10911yescharacteristic
1007C2×C4⋊C4C23×C10911yescharacteristic
1008C2×C4⋊C4C23×C10911yescharacteristic
1009C2×C4⋊C4C23×C10911yescharacteristic
1010C2×C4⋊C4C23×C10911yescharacteristic
1011C2×C4⋊C4C23×C10911yescharacteristic
1012C2×C4⋊C4C23×C10911yescharacteristic
1013C2×C4⋊C4C23×C10911yescharacteristic
1014C2×C4⋊C4C23×C10911yescharacteristic
1015C2×C4⋊C4C23×C10911yescharacteristic
1016C2×C4⋊C4C23×C10911yescharacteristic
1017C2×C4⋊C4C23×C10911yescharacteristic
1018C2×C22⋊C4—24no—
1019C2×C22⋊C4—42no—
1020C2×C22⋊C4—42no—
1021C2×C22⋊C4C23×C10911yescharacteristic
1022C2×C22⋊C4C23×C10911yescharacteristic
1023C2×C22⋊C4C23×C10911yescharacteristic
1024C2×C22⋊C4C23×C10911yescharacteristic
1025C2×C22⋊C4C23×C10911yescharacteristic
1026C2×C22⋊C4C23×C10911yescharacteristic
1027C2×C22⋊C4C23×C10911yescharacteristic
1028C2×C22⋊C4C23×C10911yescharacteristic
1029C2×C22⋊C4C23×C10911yescharacteristic
1030C2×C22⋊C4C23×C10911yescharacteristic
1031C2×C22⋊C4C23×C10911yescharacteristic
1032C2×C22⋊C4C23×C10911yescharacteristic
1033C2×C22⋊C4C23×C10911yescharacteristic
1034C2×C22⋊C4C23×C10911yescharacteristic
1035C2×C22⋊C4C23×C10911yescharacteristic
1036C2×C22⋊C4C23×C10911yescharacteristic
1037C2×C22⋊C4C23×C10911yescharacteristic
1038C2×C22⋊C4C23×C10911yescharacteristic
1039C2×C22⋊C4C23×C10911yescharacteristic
1040C2×C22⋊C4C23×C10911yescharacteristic
1041C2×C22⋊C4C23×C10911yescharacteristic
1042C2×C22⋊C4C23×C10911yescharacteristic
1043C2×C22⋊C4C23×C10911yescharacteristic
1044C2×C22⋊C4C23×C10911yescharacteristic
1045C2×C22⋊C4C23×C10911yescharacteristic
1046C2×C22⋊C4C23×C10911yescharacteristic
1047C2×C22⋊C4C23×C10911yescharacteristic
1048C2×C22⋊C4C23×C10911yescharacteristic
1049C2×C22⋊C4C23×C10911yescharacteristic
1050C2×C22⋊C4C23×C10911yescharacteristic
1051C2×C22⋊C4C23×C10911yescharacteristic
1052C2×C22⋊C4C23×C10911yescharacteristic
1053C2×C22⋊C4C23×C10911yescharacteristic
1054C2×C22⋊C4C23×C10911yescharacteristic
1055C2×C22⋊C4C23×C10911yescharacteristic
1056C2×C22⋊C4C23×C10911yescharacteristic
1057C2×C22⋊C4C23×C10911yescharacteristic
1058C2×C22⋊C4C23×C10911yescharacteristic
1059C2×C22⋊C4C23×C10911yescharacteristic
1060C2×C22⋊C4C23×C10911yescharacteristic
1061C2×C22⋊C4C23×C10911yescharacteristic
1062C2×C22⋊C4C23×C10911yescharacteristic
1063C2×C22⋊C4C23×C10911yescharacteristic
1064C2×C22⋊C4C23×C10911yescharacteristic
1065C2×C22⋊C4C23×C10911yescharacteristic
1066C2×C22⋊C4C23×C10911yescharacteristic
1067C2×C22⋊C4C23×C10911yescharacteristic
1068C2×C22⋊C4C23×C10911yescharacteristic
1069C2×C42—42no—
1070C2×C42—42no—
1071C2×C42C23×C10911yescharacteristic
1072C2×C42C23×C10911yescharacteristic
1073C2×C42C23×C10911yescharacteristic
1074C2×C42C23×C10911yescharacteristic
1075C2×C42C23×C10911yescharacteristic
1076C2×C42C23×C10911yescharacteristic
1077C2×C42C23×C10911yescharacteristic
1078C2×C42C23×C10911yescharacteristic
1079C2×C42C23×C10911yescharacteristic
1080C2×C42C23×C10911yescharacteristic
1081C2×C42C23×C10911yescharacteristic
1082C2×C42C23×C10911yescharacteristic
1083C2×C42C23×C10911yescharacteristic
1084C2×C42C23×C10911yescharacteristic
1085C2×C42C23×C10911yescharacteristic
1086C2×C42C23×C10911yescharacteristic
1087#95C23×C10911yescharacteristic
1088#95C23×C10911yescharacteristic
1089#95C23×C10911yescharacteristic
1090#95C23×C10911yescharacteristic
1091#95C23×C10911yescharacteristic
1092#95C23×C10911yescharacteristic
1093#95C23×C10911yescharacteristic
1094#95C23×C10911yescharacteristic
1095#95C23×C10911yescharacteristic
1096#95C23×C10911yescharacteristic
1097#95C23×C10911yescharacteristic
1098#95C23×C10911yescharacteristic
1099#95C23×C10911yescharacteristic
1100#95C23×C10911yescharacteristic
1101#95C23×C10911yescharacteristic
1102#95C23×C10911yescharacteristic
1103#95C23×C10911yescharacteristic
1104#95C23×C10911yescharacteristic
1105#95C23×C10911yescharacteristic
1106#95C23×C10911yescharacteristic
1107#95C23×C10911yescharacteristic
1108#95C23×C10911yescharacteristic
1109#95C23×C10911yescharacteristic
1110#95C23×C10911yescharacteristic
1111#95C23×C10911yescharacteristic
1112#95C23×C10911yescharacteristic
1113#95C23×C10911yescharacteristic
1114#95C23×C10911yescharacteristic
1115#95C23×C10911yescharacteristic
1116#95C23×C10911yescharacteristic
1117#95C23×C10911yescharacteristic
1118#95C23×C10911yescharacteristic
1119#95C23×C10911yescharacteristic
1120#95C23×C10911yescharacteristic
1121#95C23×C10911yescharacteristic
1122#95C23×C10911yescharacteristic
1123#95C23×C10911yescharacteristic
1124#95C23×C10911yescharacteristic
1125#95C23×C10911yescharacteristic
1126#95C23×C10911yescharacteristic
1127#95C23×C10911yescharacteristic
1128#95C23×C10911yescharacteristic
1129#95C23×C10911yescharacteristic
1130#95C23×C10911yescharacteristic
1131C24—22no—
1132C24—22no—
1133C24—22no—
1134C24—41no—
1135C24—41no—
1136C24—41no—
1137C24—41no—
1138C24C24×C10911yescharacteristic
1139C24C24×C10911yescharacteristic
1140C24C24×C10911yescharacteristic
1141C24C24×C10911yescharacteristic
1142C24C24×C10911yescharacteristic
1143C2×Q8—22no—
1144C2×Q8—41no—
1145C2×Q8—41no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4#41×C10914yes—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4#41×C10914yes—
1197C22×C4C24×C10911yescharacteristic
1198C22×C4C24×C10911yescharacteristic
1199C22×C4C24×C10911yescharacteristic
1200C22×C4C24×C10911yescharacteristic
1201C22×C4C24×C10911yescharacteristic
1202C22×C4C24×C10911yescharacteristic
1203C22×C4C24×C10911yescharacteristic
1204C22×C4C24×C10911yescharacteristic
1205C22×C4C24×C10911yescharacteristic
1206C22×C4C24×C10911yescharacteristic
1207C22×C4C24×C10911yescharacteristic
1208C22×C4C24×C10911yescharacteristic
1209C22×C4C24×C10911yescharacteristic
1210C22×C4C24×C10911yescharacteristic
1211C22×C4C24×C10911yescharacteristic
1212C22×C4C24×C10911yescharacteristic
1213C22×C4C24×C10911yescharacteristic
1214C22×C4C24×C10911yescharacteristic
1215C22×C4C24×C10911yescharacteristic
1216C22×C4C24×C10911yescharacteristic
1217C22×C4C24×C10911yescharacteristic
1218C22×C4C24×C10911yescharacteristic
1219C22×C4C24×C10911yescharacteristic
1220C22×C4C24×C10911yescharacteristic
1221C22×C4C24×C10911yescharacteristic
1222C22×C4C24×C10911yescharacteristic
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4#41×C10914yes—
1299C42—22no—
1300C42—22no—
1301C42—22no—
1302C42—22no—
1303C42—22no—
1304C42—22no—
1305C42—22no—
1306C42—22no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—44no—
1347C23—44no—
1348C23—44no—
1349C23—82no—
1350C23—82no—
1351C23—82no—
1352C23—82no—
1353C23C2×#41×C10912yes—
1354C23C2×#41×C10912yes—
1355C23C2×#41×C10912yes—
1356C23C2×#41×C10912yes—
1357C23C25×C10911yescharacteristic
1358Q8—82no—
1359D4—28no—
1360D4—44no—
1361D4—82no—
1362D4—82no—
1363D4—82no—
1364D4—82no—
1365D4—82no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—44no—
1438C2×C4—44no—
1439C2×C4—44no—
1440C2×C4—44no—
1441C2×C4—44no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—82no—
1446C2×C4—82no—
1447C2×C4C2×#41×C10912yes—
1448C2×C4C2×#41×C10912yes—
1449C2×C4C2×#41×C10912yes—
1450C2×C4C2×#41×C10912yes—
1451C2×C4C2×#41×C10912yes—
1452C2×C4H(5,𝔽2)×C10912yes—
1453C2×C4H(5,𝔽2)×C10912yes—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—88no—
1489C22#529×C10914yes—
1490C22C22×#41×C10911yescharacteristic
1491C22C22×#41×C10911yescharacteristic
1492C22C22×#41×C10911yescharacteristic
1493C22C2×H(5,𝔽2)×C10911yescharacteristic
1494C22C2×H(5,𝔽2)×C10911yescharacteristic
1495C22#585×C10911yescharacteristic
1496C22#585×C10911yescharacteristic
1497C4—22no—
1498C4—22no—
1499C4—22no—
1500C4—22no—
1501C4—22no—
1502C4—22no—
1503C4—22no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C2—24no—
1524C2—42no—
1525C2—81no—
1526C2—81no—
1527C2—81no—
1528C2C2×#529×C10911yescharacteristic
1529C2C109×#345911yescharacteristic
1530C2C109×#346011yescharacteristic
1531C2C109×#351311yescharacteristic
1532C2C109×#351411yescharacteristic
1533C2C109×#351911yescharacteristic
1534C2C109×#352111yescharacteristic
subgroupG/H
center, socleC23×C109C25
commutator, Frattini, cosocleC23C25×C109
prime radicalC109×#2424C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C109 ◁ G

Complements

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

NH ≅ G/Ntype
1. C109×#2865C2semidirect
2. C109×#2861C2semidirect
3. C109×#2854C2semidirect
4. C109×#2852C2semidirect
5. C109×#2654C2semidirect
6. C109×#2653C2semidirect
7. C109×#2651C2semidirect
8. C109×#2648C2semidirect
9. C109×#2595C2semidirect
10. C109×#2594C2semidirect
11. C109×#2558C2semidirect
12. C109×#2557C2semidirect
13. C109×#2532C2semidirect
14. C109×#2531C2semidirect
15. C109×#2510C2semidirect
16. C109×#2480C2semidirect
17. C109×#2479C2semidirect
18. C109×#2476C2semidirect
19. C109×#2473C2semidirect
20. C109×#2472C2semidirect
21. C109×#2450C2semidirect
22. C109×#2443C2semidirect
24. C109×#2418C2semidirect
25. C109×#2329C2semidirect
26. C109×#2325C2semidirect
27. C109×#2321C2semidirect
28. C109×#2321C2semidirect
29. C109×#2290C2semidirect
30. C2×#388×C109C2semidirect
31. C42×D4×C109C2semidirect
33. C2×#125×C109C22semidirect
36. C2×#123×C109C22semidirect
46. C2×#117×C109C22semidirect
52. C22×C42×C109C22semidirect
53. #401×C109C22semidirect
54. #400×C109C22semidirect
55. #400×C109C22semidirect
56. #400×C109C22semidirect
58. #399×C109C22semidirect
59. #398×C109C22semidirect
60. #398×C109C22semidirect
61. #398×C109C22semidirect
62. #398×C109C22semidirect
63. #398×C109C22semidirect
69. #397×C109C22semidirect
70. #397×C109C22semidirect
71. #397×C109C22semidirect
74. #396×C109C22semidirect
81. #394×C109C22semidirect
83. #393×C109C22semidirect
85. #391×C109C22semidirect
86. #391×C109C22semidirect
87. #391×C109C22semidirect
94. #389×C109C22semidirect
95. #389×C109C22semidirect
96. #389×C109C22semidirect
121. #388×C109C22semidirect
122. #388×C109C22semidirect
123. #388×C109C22semidirect
124. #388×C109C22semidirect
125. #388×C109C22semidirect
126. #388×C109C22semidirect
127. #388×C109C22semidirect
128. #387×C109C22semidirect
129. #387×C109C22semidirect
130. #387×C109C22semidirect
131. #387×C109C22semidirect
132. #387×C109C22semidirect
133. #387×C109C22semidirect
134. #387×C109C22semidirect
135. #387×C109C22semidirect
136. #387×C109C22semidirect
137. #387×C109C22semidirect
138. #387×C109C22semidirect
139. #387×C109C22semidirect
140. #387×C109C22semidirect
153. #386×C109C22semidirect
154. #386×C109C22semidirect
161. #385×C109C22semidirect
162. #385×C109C22semidirect
163. #385×C109C22semidirect
164. #385×C109C22semidirect
165. #383×C109C22semidirect
168. #380×C109C22semidirect
171. C4×C4⋊C4×C109C22semidirect
172. C4×C4⋊C4×C109C22semidirect
173. C4×C4⋊C4×C109C22semidirect
174. C4×C4⋊C4×C109C22semidirect
179. C4×C22⋊C4×C109C22semidirect
180. C4×C22⋊C4×C109C22semidirect
181. C4×C22⋊C4×C109C22semidirect
182. C4×C22⋊C4×C109C22semidirect
183. #376×C109C22semidirect
186. C43×C109C22semidirect
755. #35068C109direct (N × H)
768. #2865C2×C109semidirect
769. #2861C2×C109semidirect
770. #2854C2×C109semidirect
771. #2852C2×C109semidirect
772. #2654C2×C109semidirect
773. #2653C2×C109semidirect
774. #2651C2×C109semidirect
775. #2648C2×C109semidirect
776. #2595C2×C109semidirect
777. #2594C2×C109semidirect
778. #2558C2×C109semidirect
779. #2557C2×C109semidirect
780. #2532C2×C109semidirect
781. #2531C2×C109semidirect
782. #2510C2×C109semidirect
783. #2480C2×C109semidirect
784. #2479C2×C109semidirect
785. #2476C2×C109semidirect
786. #2473C2×C109semidirect
787. #2472C2×C109semidirect
788. #2450C2×C109semidirect
789. #2443C2×C109semidirect
791. #2418C2×C109semidirect
792. #2329C2×C109semidirect
793. #2325C2×C109semidirect
794. #2321C2×C109semidirect
795. #2321C2×C109semidirect
796. #2290C2×C109semidirect
797. C2×#388C2×C109semidirect
798. C42×D4C2×C109semidirect
799. C109#35068direct (N × H)
801. C2×#125C22×C109semidirect
804. C2×#123C22×C109semidirect
814. C2×#117C22×C109semidirect
820. C22×C42C22×C109semidirect
821. #401C22×C109semidirect
822. #400C22×C109semidirect
823. #400C22×C109semidirect
824. #400C22×C109semidirect
826. #399C22×C109semidirect
827. #398C22×C109semidirect
828. #398C22×C109semidirect
829. #398C22×C109semidirect
830. #398C22×C109semidirect
831. #398C22×C109semidirect
837. #397C22×C109semidirect
838. #397C22×C109semidirect
839. #397C22×C109semidirect
842. #396C22×C109semidirect
849. #394C22×C109semidirect
851. #393C22×C109semidirect
853. #391C22×C109semidirect
854. #391C22×C109semidirect
855. #391C22×C109semidirect
862. #389C22×C109semidirect
863. #389C22×C109semidirect
864. #389C22×C109semidirect
889. #388C22×C109semidirect
890. #388C22×C109semidirect
891. #388C22×C109semidirect
892. #388C22×C109semidirect
893. #388C22×C109semidirect
894. #388C22×C109semidirect
895. #388C22×C109semidirect
896. #387C22×C109semidirect
897. #387C22×C109semidirect
898. #387C22×C109semidirect
899. #387C22×C109semidirect
900. #387C22×C109semidirect
901. #387C22×C109semidirect
902. #387C22×C109semidirect
903. #387C22×C109semidirect
904. #387C22×C109semidirect
905. #387C22×C109semidirect
906. #387C22×C109semidirect
907. #387C22×C109semidirect
908. #387C22×C109semidirect
921. #386C22×C109semidirect
922. #386C22×C109semidirect
929. #385C22×C109semidirect
930. #385C22×C109semidirect
931. #385C22×C109semidirect
932. #385C22×C109semidirect
933. #383C22×C109semidirect
936. #380C22×C109semidirect
939. C4×C4⋊C4C22×C109semidirect
940. C4×C4⋊C4C22×C109semidirect
941. C4×C4⋊C4C22×C109semidirect
942. C4×C4⋊C4C22×C109semidirect
947. C4×C22⋊C4C22×C109semidirect
948. C4×C22⋊C4C22×C109semidirect
949. C4×C22⋊C4C22×C109semidirect
950. C4×C22⋊C4C22×C109semidirect
951. #376C22×C109semidirect
954. C43C22×C109semidirect

Maximal subgroups

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

subgroupindex
C109×#28652
C109×#28612
C109×#28542
C109×#28522
C109×#26542
C109×#26532
C109×#26512
C109×#26482
C109×#25952
C109×#25942
C109×#25582
C109×#25572
C109×#25322
C109×#25312
C109×#25102
C109×#24802
C109×#24792
C109×#24762
C109×#24732
C109×#24722
C109×#24502
C109×#24432
C109×#24242
C109×#24182
C109×#23292
C109×#23252
C109×#23212
C109×#22902
C2×#388×C1092
C42×D4×C1092
#35068109