Finite Group Databasebeta

← #25311192

Subgroups — #25311192

Order 11008.

1682 conjugacy classes of subgroups.

The subgroup lattice has 1446 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142926C211yesmaximal, characteristic, complemented
2#19142917C211yesmaximal, characteristic, complemented
3#19142447C211yesmaximal, characteristic, complemented
4#19142407C211yesmaximal, characteristic, complemented
5#19142399C211yesmaximal, characteristic, complemented
6#19142381C211yesmaximal, characteristic, complemented
7#19142377C211yesmaximal, characteristic, complemented
8#19142314C211yesmaximal, characteristic, complemented
9#19142192C211yesmaximal, characteristic, complemented
10#19142132C211yesmaximal, characteristic, complemented
11#19142069C211yesmaximal, characteristic, complemented
12#19141858C211yesmaximal, characteristic, complemented
13#19141803C211yesmaximal, characteristic, complemented
14#19141737C211yesmaximal, characteristic, complemented
15#19141705C211yesmaximal, characteristic, complemented
16#19141696C211yesmaximal, characteristic, complemented
17#19141690C211yesmaximal, characteristic, complemented
18#19141662C211yesmaximal, characteristic, complemented
19#19140375C211yesmaximal, characteristic, complemented
20#19140337C211yesmaximal, characteristic, complemented
21#19139819C211yesmaximal, characteristic, complemented
22#19139555C211yesmaximal, characteristic
23#19139062C211yesmaximal, characteristic, complemented
24#19138897C211yesmaximal, characteristic, complemented
25#19138146C211yesmaximal, characteristic, complemented
26#19138146C211yesmaximal, characteristic, complemented
27#19138072C211yesmaximal, characteristic, complemented
28#19138072C211yesmaximal, characteristic, complemented
29#19137298C211yesmaximal, characteristic, complemented
30#19137229C211yesmaximal, characteristic, complemented
31C2×C43×#387C211yesmaximal, characteristic, complemented
32C2×#13063308C2211yescharacteristic
33C2×#13063308C2211yescharacteristic
34C2×#13063308C2211yescharacteristic
35C2×#13063308C2211yescharacteristic
36C2×#13063308C2211yescharacteristic
37C2×#13063308C2211yescharacteristic
38C2×#13063299C2211yescharacteristic
39C2×#13063299C2211yescharacteristic
40C2×#13063299C2211yescharacteristic
41C2×C4×C22⋊D43C2211yescharacteristic
42C2×C4×C22⋊D43C2211yescharacteristic
43C2×C4×C22⋊D43C2211yescharacteristic
44#14582841C2211yescharacteristic
45#14582841C2211yescharacteristic
46#14582840C2211yescharacteristic
47#14582840C2211yescharacteristic
48#14582837C2211yescharacteristic
49#14582837C2211yescharacteristic
50#14582834C2211yescharacteristic
51#14582834C2211yescharacteristic
52#14582834C2211yescharacteristic
53#14582834C2211yescharacteristic
54#14582834C2211yescharacteristic
55#14582834C2211yescharacteristic
56#14582833C2211yescharacteristic
57#14582833C2211yescharacteristic
58#14582833C2211yescharacteristic
59#14582833C2211yescharacteristic
60#14582831C2211yescharacteristic
61#14582831C2211yescharacteristic
62#14582831C2211yescharacteristic
63#14582830C2211yescharacteristic
64#14582830C2211yescharacteristic
65#14582830C2211yescharacteristic
66#14582830C2211yescharacteristic
67#14582829C2211yescharacteristic
68#14582829C2211yescharacteristic
69#14582828C2211yescharacteristic
70#14582828C2211yescharacteristic
71#14582828C2211yescharacteristic
72#14582828C2211yescharacteristic
73#14582826C2211yescharacteristic
74#14582826C2211yescharacteristic
75#14582826C2211yescharacteristic
76#14582825C2211yescharacteristic
77#14582825C2211yescharacteristic
78#14582825C2211yescharacteristic
79#14582825C2211yescharacteristic
80#14582823C2211yescharacteristic
81#14582823C2211yescharacteristic
82#14582821C2211yescharacteristic
83#14582821C2211yescharacteristic
84#14582821C2211yescharacteristic
85#14582821C2211yescharacteristic
86#14582817C2211yescharacteristic
87#14582817C2211yescharacteristic
88#14582817C2211yescharacteristic
89#14582816C2211yescharacteristic
90#14582816C2211yescharacteristic
91#14582809C2211yescharacteristic
92#14582801C2211yescharacteristic
93#14582801C2211yescharacteristic
94#14582800C2211yescharacteristic
95#14582800C2211yescharacteristic
96#14582797C2211yescharacteristic
97#14582797C2211yescharacteristic
98#14582796C2211yescharacteristic
99#14582796C2211yescharacteristic
100#14582795C2211yescharacteristic
101#14582795C2211yescharacteristic
102#14582791C2211yescharacteristic
103#14582791C2211yescharacteristic
104#14582791C2211yescharacteristic
105#14582791C2211yescharacteristic
106#14582790C2211yescharacteristic
107#14582790C2211yescharacteristic
108#14582790C2211yescharacteristic
109#14582790C2211yescharacteristic
110#14582790C2211yescharacteristic
111#14582790C2211yescharacteristic
112#14582790C2211yescharacteristic
113#14582790C2211yescharacteristic
114#14582788C2211yescharacteristic
115#14582788C2211yescharacteristic
116#14582788C2211yescharacteristic
117#14582788C2211yescharacteristic
118#14582786C2211yescharacteristic
119#14582786C2211yescharacteristic
120#14582784C2211yescharacteristic
121#14582784C2211yescharacteristic
122#14582783C2211yescharacteristic
123#14582783C2211yescharacteristic
124#14582783C2211yescharacteristic
125#14582783C2211yescharacteristic
126#14582782C2211yescharacteristic
127#14582782C2211yescharacteristic
128#14582782C2211yescharacteristic
129#14582782C2211yescharacteristic
130#14582781C2211yescharacteristic
131#14582781C2211yescharacteristic
132#14582781C2211yescharacteristic
133#14582781C2211yescharacteristic
134#14582778C2211yescharacteristic
135#14582778C2211yescharacteristic
136#14582778C2211yescharacteristic
137#14582778C2211yescharacteristic
138#14582778C2211yescharacteristic
139#14582778C2211yescharacteristic
140#14582777C2211yescharacteristic
141#14582777C2211yescharacteristic
142#14582777C2211yescharacteristic
143#14582777C2211yescharacteristic
144#14582777C2211yescharacteristic
145#14582777C2211yescharacteristic
146#14582773C2211yescharacteristic
147#14582773C2211yescharacteristic
148#14582773C2211yescharacteristic
149#14582773C2211yescharacteristic
150#14582772C2211yescharacteristic
151#14582772C2211yescharacteristic
152#14582772C2211yescharacteristic
153#14582772C2211yescharacteristic
154#14582768C2211yescharacteristic
155#14582768C2211yescharacteristic
156#14582766C2211yescharacteristic
157#14582763C2211yescharacteristic
158#14582762C2211yescharacteristic
159#14582762C2211yescharacteristic
160#14582761C2211yescharacteristic
161#14582761C2211yescharacteristic
162#14582761C2211yescharacteristic
163#14582759C2211yescharacteristic
164#14582759C2211yescharacteristic
165#14582759C2211yescharacteristic
166#14582758C2211yescharacteristic
167#14582758C2211yescharacteristic
168#14582758C2211yescharacteristic
169#14582756C2211yescharacteristic
170#14582756C2211yescharacteristic
171C4×C22⋊Dic43C2211yescharacteristic
172C22×C4⋊C4×C43C2211yescharacteristic
173C22×C4⋊C4×C43C2211yescharacteristic
174C22×C42×C43C2211yescharacteristic
175C43×#387C2211yescharacteristic
176C43×#387C2211yescharacteristic
177C43×#387C2211yescharacteristic
178C43×#387C2211yescharacteristic
179C43×#387C2211yescharacteristic
180C43×#387C2211yescharacteristic
181C43×#387C2211yescharacteristic
182C43×#387C2211yescharacteristic
183C2×#95×C43C2211yescharacteristic
184C2×#95×C43C2211yescharacteristic
185C2×#95×C43C2211yescharacteristic
186C2×#95×C43C2211yescharacteristic
187C22×D172C2311yescharacteristic
188C22×D172C2311yescharacteristic
189C22×D172C2311yescharacteristic
190C22×C22⋊D43C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C22×C4×D43C2311yescharacteristic
194C22×C4×D43C2311yescharacteristic
195C22×C4×D43C2311yescharacteristic
196#13063308—42no—
197#13063308—42no—
198#13063308—42no—
199#13063308—42no—
200#13063308—42no—
201#13063308—42no—
202#13063299—24no—
203#13063299—42no—
204#13063299—42no—
205C4×C22⋊D43—24no—
206C4×C22⋊D43—42no—
207C4×C22⋊D43—42no—
208C2×C4⋊Dic43C2311yescharacteristic
209C2×C4⋊Dic43C2311yescharacteristic
210C2×C4⋊Dic43C2311yescharacteristic
211C2×C4⋊Dic43C2311yescharacteristic
212C2×C4⋊Dic43C2311yescharacteristic
213C2×C4⋊Dic43C2311yescharacteristic
214C2×C4⋊Dic43C2311yescharacteristic
215C2×C4⋊Dic43C2311yescharacteristic
216C2×C4⋊Dic43C2311yescharacteristic
217C2×Dic43⋊C4C2311yescharacteristic
218C2×Dic43⋊C4C2311yescharacteristic
219C2×Dic43⋊C4C2311yescharacteristic
220C2×Dic43⋊C4C2311yescharacteristic
221C2×Dic43⋊C4C2311yescharacteristic
222C2×Dic43⋊C4C2311yescharacteristic
223C2×Dic43⋊C4C2311yescharacteristic
224C2×Dic43⋊C4C2311yescharacteristic
225C2×Dic43⋊C4C2311yescharacteristic
226C2×Dic43⋊C4C2311yescharacteristic
227C2×Dic43⋊C4C2311yescharacteristic
228C2×Dic43⋊C4C2311yescharacteristic
229C2×Dic43⋊C4C2311yescharacteristic
230C2×Dic43⋊C4C2311yescharacteristic
231C2×Dic43⋊C4C2311yescharacteristic
232C2×Dic43⋊C4C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C2×Dic43⋊C4C2311yescharacteristic
236C2×Dic43⋊C4C2311yescharacteristic
237C2×Dic43⋊C4C2311yescharacteristic
238C2×Dic43⋊C4C2311yescharacteristic
239C2×Dic43⋊C4C2311yescharacteristic
240C2×C22⋊Dic43C2311yescharacteristic
241C2×C22⋊Dic43C2311yescharacteristic
242C2×C22⋊Dic43C2311yescharacteristic
243C2×C22⋊Dic43C2311yescharacteristic
244C2×C22⋊Dic43C2311yescharacteristic
245C2×(C2×D43)⋊C4C2311yescharacteristic
246C2×(C2×D43)⋊C4C2311yescharacteristic
247C2×(C2×D43)⋊C4C2311yescharacteristic
248C2×(C2×D43)⋊C4C2311yescharacteristic
249C2×(C2×D43)⋊C4C2311yescharacteristic
250C2×(C2×D43)⋊C4C2311yescharacteristic
251C2×(C2×D43)⋊C4C2311yescharacteristic
252C2×(C2×D43)⋊C4C2311yescharacteristic
253C2×(C2×D43)⋊C4C2311yescharacteristic
254C2×(C2×D43)⋊C4C2311yescharacteristic
255C2×(C2×D43)⋊C4C2311yescharacteristic
256C2×(C2×D43)⋊C4C2311yescharacteristic
257C2×(C2×D43)⋊C4C2311yescharacteristic
258C2×(C2×D43)⋊C4C2311yescharacteristic
259C2×(C2×D43)⋊C4C2311yescharacteristic
260C2×(C2×D43)⋊C4C2311yescharacteristic
261C2×(C2×D43)⋊C4C2311yescharacteristic
262C2×(C2×D43)⋊C4C2311yescharacteristic
263C2×(C2×D43)⋊C4C2311yescharacteristic
264C2×(C2×D43)⋊C4C2311yescharacteristic
265C2×(C2×D43)⋊C4C2311yescharacteristic
266C2×(C2×D43)⋊C4C2311yescharacteristic
267C2×(C2×D43)⋊C4C2311yescharacteristic
268C2×(C2×D43)⋊C4C2311yescharacteristic
269C2×(C2×D43)⋊C4C2311yescharacteristic
270C2×(C2×D43)⋊C4C2311yescharacteristic
271C2×(C2×D43)⋊C4C2311yescharacteristic
272C2×(C2×D43)⋊C4C2311yescharacteristic
273C2×(C2×D43)⋊C4C2311yescharacteristic
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×C4×Dic43C2311yescharacteristic
279C2×C4×Dic43C2311yescharacteristic
280C2×C4×Dic43C2311yescharacteristic
281C2×C4×Dic43C2311yescharacteristic
282C2×C4×Dic43C2311yescharacteristic
283C43⋊#95C2311yescharacteristic
284C43⋊#95C2311yescharacteristic
285C43⋊#95C2311yescharacteristic
286C43⋊#95C2311yescharacteristic
287C43⋊#95C2311yescharacteristic
288C43⋊#95C2311yescharacteristic
289C43⋊#95C2311yescharacteristic
290C43⋊#95C2311yescharacteristic
291C43⋊#95C2311yescharacteristic
292C43⋊#95C2311yescharacteristic
293C43⋊#95C2311yescharacteristic
294C43⋊#95C2311yescharacteristic
295C43⋊#95C2311yescharacteristic
296C43⋊#95C2311yescharacteristic
297C43⋊#95C2311yescharacteristic
298C43⋊#95C2311yescharacteristic
299C43⋊#95C2311yescharacteristic
300C43⋊#95C2311yescharacteristic
301C43⋊#95C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C23×C4×C43C2311yescharacteristic
320C23×C4×C43C2311yescharacteristic
321C23×C4×C43C2311yescharacteristic
322C23×C4×C43C2311yescharacteristic
323C23×C4×C43C2311yescharacteristic
324C23×C4×C43C2311yescharacteristic
325C23×C4×C43C2311yescharacteristic
326C2×C4⋊C4×C43—24no—
327C2×C4⋊C4×C43—42no—
328C2×C4⋊C4×C43C2311yescharacteristic
329C2×C4⋊C4×C43C2311yescharacteristic
330C2×C4⋊C4×C43C2311yescharacteristic
331C2×C4⋊C4×C43C2311yescharacteristic
332C2×C4⋊C4×C43C2311yescharacteristic
333C2×C4⋊C4×C43C2311yescharacteristic
334C2×C4⋊C4×C43C2311yescharacteristic
335C2×C4⋊C4×C43C2311yescharacteristic
336C2×C42×C43—42no—
337C2×C42×C43C2311yescharacteristic
338C2×C42×C43C2311yescharacteristic
339C2×C42×C43C2311yescharacteristic
340C2×C42×C43C2311yescharacteristic
341#95×C43C2311yescharacteristic
342#95×C43C2311yescharacteristic
343#95×C43C2311yescharacteristic
344#95×C43C2311yescharacteristic
345#95×C43C2311yescharacteristic
346#95×C43C2311yescharacteristic
347#95×C43C2311yescharacteristic
348#95×C43C2311yescharacteristic
349#95×C43C2311yescharacteristic
350#95×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357C24×C43C2411yescharacteristic
358C23×D43C2411yescharacteristic
359C23×D43C2411yescharacteristic
360C23×D43C2411yescharacteristic
361C22×C4×C43—22no—
362C22×C4×C43—22no—
363C22×C4×C43—22no—
364C22×C4×C43—22no—
365C22×C4×C43—22no—
366C22×C4×C43—22no—
367C22×C4×C43—22no—
368C22×C4×C43—22no—
369C22×C4×C43—22no—
370C22×C4×C43—22no—
371C22×C4×C43—22no—
372C22×C4×C43—41no—
373C22×C4×C43—41no—
374C22×C4×C43—41no—
375C22×C4×C43—41no—
376C22×C4×C43—41no—
377C22×C4×C43—41no—
378C22×C4×C43—41no—
379C22×C4×C43—41no—
380C22×C4×C43—41no—
381C22×C4×C43#4114yes—
382C22×C4×C43C2411yescharacteristic
383C22×C4×C43C2411yescharacteristic
384C22×C4×C43C2411yescharacteristic
385C22×C4×C43C2411yescharacteristic
386C22×C4×C43C2411yescharacteristic
387C22×C4×C43C2411yescharacteristic
388C22×C4×C43C2411yescharacteristic
389C22×C4×C43C2411yescharacteristic
390C22×C4×C43C2411yescharacteristic
391C22×C4×C43C2411yescharacteristic
392C22×C4×C43C2411yescharacteristic
393C22×C4×C43C2411yescharacteristic
394C22×C4×C43C2411yescharacteristic
395C22×C4×C43C2411yescharacteristic
396C2×C22⋊D43—22no—
397C2×C22⋊D43—22no—
398C2×C22⋊D43—22no—
399C2×C22⋊D43—22no—
400C2×C22⋊D43—22no—
401C2×C22⋊D43—22no—
402C2×C22⋊D43—22no—
403C2×C22⋊D43—22no—
404C2×C22⋊D43—22no—
405C22×Dic43C2411yescharacteristic
406C22×Dic43C2411yescharacteristic
407C22×Dic43C2411yescharacteristic
408C22×Dic43C2411yescharacteristic
409C22×Dic43C2411yescharacteristic
410C22×Dic43C2411yescharacteristic
411C22×Dic43C2411yescharacteristic
412C22×Dic43C2411yescharacteristic
413C22×Dic43C2411yescharacteristic
414C22×Dic43C2411yescharacteristic
415C22×Dic43C2411yescharacteristic
416C22×Dic43C2411yescharacteristic
417C22×Dic43C2411yescharacteristic
418C2×D172—22no—
419C2×D172—22no—
420C2×D172—41no—
421C2×D172—41no—
422C2×D172—41no—
423C2×D172—41no—
424C2×D172—41no—
425C2×D172—41no—
426C2×D172—41no—
427C2×C4×D43—22no—
428C2×C4×D43—41no—
429C2×C4×D43—41no—
430C2×C4×D43—41no—
431C2×C4×D43—41no—
432C2×C4×D43—41no—
433C2×C4×D43—41no—
434C2×C4×D43—41no—
435C2×C4×D43—41no—
436C4⋊C4×C43—22no—
437C4⋊C4×C43—22no—
438C4⋊C4×C43—22no—
439C4⋊C4×C43—22no—
440C4⋊C4×C43—41no—
441C4⋊C4×C43—41no—
442C4⋊C4×C43—41no—
443C4⋊C4×C43—41no—
444C42×C43—41no—
445C42×C43—41no—
446C42×C43—41no—
447C42×C43—41no—
448C22⋊Dic43—22no—
449C22⋊Dic43—22no—
450C22⋊Dic43—22no—
451C22⋊Dic43—22no—
452C22⋊Dic43—22no—
453(C2×D43)⋊C4—22no—
454(C2×D43)⋊C4—22no—
455(C2×D43)⋊C4—22no—
456(C2×D43)⋊C4—22no—
457(C2×D43)⋊C4—41no—
458(C2×D43)⋊C4—41no—
459(C2×D43)⋊C4—41no—
460(C2×D43)⋊C4—41no—
461(C2×D43)⋊C4—41no—
462(C2×D43)⋊C4—41no—
463(C2×D43)⋊C4—41no—
464(C2×D43)⋊C4—41no—
465(C2×D43)⋊C4—41no—
466(C2×D43)⋊C4—41no—
467(C2×D43)⋊C4—41no—
468(C2×D43)⋊C4—41no—
469(C2×D43)⋊C4—41no—
470(C2×D43)⋊C4—41no—
471(C2×D43)⋊C4—41no—
472(C2×D43)⋊C4—41no—
473(C2×D43)⋊C4—41no—
474(C2×D43)⋊C4—41no—
475(C2×D43)⋊C4—41no—
476(C2×D43)⋊C4—41no—
477(C2×D43)⋊C4—41no—
478(C2×D43)⋊C4—41no—
479(C2×D43)⋊C4—41no—
480(C2×D43)⋊C4—41no—
481(C2×D43)⋊C4—41no—
482(C2×D43)⋊C4—41no—
483(C2×D43)⋊C4—41no—
484(C2×D43)⋊C4—41no—
485(C2×D43)⋊C4—41no—
486C4⋊Dic43—22no—
487C4⋊Dic43—22no—
488C4⋊Dic43—41no—
489C4⋊Dic43—41no—
490C4⋊Dic43—41no—
491C4⋊Dic43—41no—
492C4⋊Dic43—41no—
493C4⋊Dic43—41no—
494C4⋊Dic43—41no—
495Dic43⋊C4—22no—
496Dic43⋊C4—22no—
497Dic43⋊C4—41no—
498Dic43⋊C4—41no—
499Dic43⋊C4—41no—
500Dic43⋊C4—41no—
501Dic43⋊C4—41no—
502Dic43⋊C4—41no—
503Dic43⋊C4—41no—
504Dic43⋊C4—41no—
505Dic43⋊C4—41no—
506Dic43⋊C4—41no—
507Dic43⋊C4—41no—
508Dic43⋊C4—41no—
509Dic43⋊C4—41no—
510Dic43⋊C4—41no—
511Dic43⋊C4—41no—
512Dic43⋊C4—41no—
513Dic43⋊C4—41no—
514Dic43⋊C4—41no—
515Dic43⋊C4—41no—
516Dic43⋊C4—41no—
517Dic43⋊C4—41no—
518C4×Dic43—22no—
519C4×Dic43—41no—
520C4×Dic43—41no—
521C4×Dic43—41no—
522C4×Dic43—41no—
523C23×C43—21no—
524C23×C43—21no—
525C23×C43—21no—
526C23×C43—21no—
527C23×C43C2×#4112yes—
528C23×C43H(5,𝔽2)12yes—
529C23×C43H(5,𝔽2)12yes—
530C23×C43C2511yescharacteristic
531C22×D43—21no—
532C22×D43—21no—
533C22×D43—21no—
534C22×D43—21no—
535C22×D43—21no—
536C22×D43—21no—
537C22×D43—21no—
538C22×D43—21no—
539C22×D43—21no—
540C22×D43—21no—
541C22×D43—21no—
542C22×D43—21no—
543C22×D43—21no—
544C22×D43—21no—
545C22×D43—21no—
546C22×D43—21no—
547C22×D43—21no—
548C22×D43—21no—
549C22×D43—21no—
550C22×D43—21no—
551C22×D43—21no—
552C2×C4×C43—21no—
553C2×C4×C43—21no—
554C2×C4×C43—21no—
555C2×C4×C43—21no—
556C2×C4×C43—21no—
557C2×C4×C43—21no—
558C2×C4×C43—21no—
559C2×C4×C43—21no—
560C2×C4×C43—21no—
561C2×C4×C43—21no—
562C2×C4×C43—21no—
563C2×C4×C43—21no—
564C2×C4×C43—21no—
565C2×C4×C43—21no—
566C2×C4×C43—21no—
567C2×C4×C43—21no—
568C2×C4×C43—21no—
569C2×C4×C43—21no—
570C2×C4×C43—21no—
571C2×C4×C43—21no—
572C2×C4×C43—21no—
573C2×C4×C43—21no—
574C2×C4×C43—21no—
575C2×C4×C43—21no—
576C2×C4×C43—21no—
577C2×C4×C43—21no—
578C2×C4×C43—21no—
579C2×C4×C43—21no—
580C2×C4×C43—21no—
581C2×C4×C43—21no—
582C2×C4×C43—21no—
583C2×C4×C43—21no—
584C2×C4×C43—21no—
585C2×C4×C43—21no—
586C2×C4×C43—21no—
587C2×C4×C43—21no—
588C2×C4×C43—21no—
589C2×C4×C43—21no—
590C2×C4×C43—21no—
591C2×C4×C43—44no—
592C2×C4×C43—44no—
593C2×C4×C43—44no—
594C2×C4×C43—44no—
595C2×C4×C43—44no—
596C2×C4×C43—82no—
597C2×C4×C43—82no—
598C2×C4×C43C2×#4112yes—
599C2×C4×C43C2×#4112yes—
600C2×C4×C432−1+412yes—
601C22⋊D43—44no—
602C22⋊D43—44no—
603C22⋊D43—44no—
604C2×Dic43—21no—
605C2×Dic43—21no—
606C2×Dic43—21no—
607C2×Dic43—21no—
608C2×Dic43—21no—
609C2×Dic43—21no—
610C2×Dic43—21no—
611C2×Dic43—21no—
612C2×Dic43—21no—
613C2×Dic43—21no—
614C2×Dic43—21no—
615C2×Dic43—21no—
616C2×Dic43—21no—
617C2×Dic43—21no—
618C2×Dic43—21no—
619C2×Dic43—21no—
620C2×Dic43—21no—
621C2×Dic43—21no—
622C2×Dic43—21no—
623C2×Dic43—21no—
624C2×Dic43—21no—
625C2×Dic43—21no—
626C2×Dic43—21no—
627C2×Dic43—21no—
628C2×Dic43—21no—
629C2×Dic43—21no—
630C2×Dic43—21no—
631C2×Dic43—21no—
632C2×Dic43—21no—
633C2×Dic43—21no—
634C2×Dic43—21no—
635C2×Dic43—21no—
636C2×Dic43—21no—
637C2×Dic43—21no—
638C2×Dic43—21no—
639C2×Dic43—21no—
640C2×Dic43—21no—
641C2×Dic43—21no—
642C2×Dic43—21no—
643D172—82no—
644D172—82no—
645D172—82no—
646C4×D43—82no—
647C4×D43—82no—
648C4×D43—82no—
649#37000—431nomaximal, Sylow
650C22×C43—22no—
651C22×C43—22no—
652C22×C43—22no—
653C22×C43—22no—
654C22×C43—22no—
655C22×C43—22no—
656C22×C43#54014yes—
657C22×C43C22×#4111yescharacteristic
658C22×C43C2×H(5,𝔽2)11yescharacteristic
659C22×C43C2×H(5,𝔽2)11yescharacteristic
660C22×C43C2×2−1+411yescharacteristic
661C22×C43#58511yescharacteristic
662C22×C43#58511yescharacteristic
663C22×C43#58511yescharacteristic
664C2×D43—41no—
665C2×D43—41no—
666C2×D43—41no—
667C2×D43—41no—
668C2×D43—41no—
669C2×D43—41no—
670C2×D43—41no—
671C2×D43—41no—
672C2×D43—41no—
673C2×D43—41no—
674C2×D43—41no—
675C2×D43—41no—
676C2×D43—41no—
677C2×D43—41no—
678C2×D43—41no—
679C2×D43—41no—
680C2×D43—41no—
681C2×D43—41no—
682C2×D43—41no—
683C2×D43—41no—
684C2×D43—41no—
685C4×C43—22no—
686C4×C43—22no—
687C4×C43—22no—
688C4×C43—41no—
689C4×C43—41no—
690C4×C43—41no—
691C4×C43—41no—
692C4×C43—41no—
693C4×C43—41no—
694C4×C43—41no—
695C4×C43—41no—
696C4×C43—41no—
697C4×C43—41no—
698C4×C43—41no—
699Dic43—41no—
700Dic43—41no—
701Dic43—41no—
702Dic43—41no—
703Dic43—41no—
704Dic43—41no—
705Dic43—41no—
706Dic43—41no—
707Dic43—41no—
708Dic43—41no—
709Dic43—41no—
710Dic43—41no—
711Dic43—41no—
712#2854—431no—
713#2853—431no—
714#2797—431no—
715#2793—431no—
716#2793—431no—
717#2791—431no—
718#2791—431no—
719#2786—431no—
720#2777—431no—
721#2773—431no—
722#2768—431no—
723#2752—431no—
724#2748—431no—
725#2743—431no—
726#2741—431no—
727#2740—431no—
728#2740—431no—
729#2738—431no—
730#2623—431no—
731#2618—431no—
732#2569—431no—
733#2543—431no—
734#2501—431no—
735#2486—431no—
736#2425—431no—
737#2425—431no—
738#2419—431no—
739#2419—431no—
740#2325—431no—
741#2318—431no—
742C2×#387D4311yescharacteristic, complemented
743C2×C43—24no—
744C2×C43C2×#54011yescharacteristic
745C2×C43#349111yescharacteristic
746C2×C43#350711yescharacteristic
747C2×C43#353311yescharacteristic
748C2×C43#353511yescharacteristic
749C2×C43#355911yescharacteristic
750C2×C43#356011yescharacteristic
751D43—81no—
752D43—81no—
753D43—81no—
754C2×#123—431no—
755C2×#123—431no—
756C2×#123—431no—
757C2×#123—431no—
758C2×#123—431no—
759C2×#123—431no—
760C2×#121—431no—
761C2×#121—431no—
762C2×#121—431no—
763C2×C4×D4—431no—
764C2×C4×D4—431no—
765C2×C4×D4—431no—
766C22×C4⋊C4C2×D4311yescharacteristic
767C22×C4⋊C4C2×D4311yescharacteristic
768C22×C42C2×D4311yescharacteristic
769#400—431no—
770#400—431no—
771#400—431no—
772#400—431no—
773#400—431no—
774#400—431no—
775#399—431no—
776#399—431no—
777#399—431no—
778#399—431no—
779#399—431no—
780#399—431no—
781#398—431no—
782#398—431no—
783#398—431no—
784#398—431no—
785#398—431no—
786#398—431no—
787#398—431no—
788#398—431no—
789#398—431no—
790#398—431no—
791#398—431no—
792#398—431no—
793#398—431no—
794#397—431no—
795#397—431no—
796#397—431no—
797#397—431no—
798#397—431no—
799#397—431no—
800#397—431no—
801#397—431no—
802#397—431no—
803#397—431no—
804#397—431no—
805#396—431no—
806#396—431no—
807#396—431no—
808#396—431no—
809#396—431no—
810#396—431no—
811#394—431no—
812#394—431no—
813#394—431no—
814#394—431no—
815#394—431no—
816#392—431no—
817#390—431no—
818#390—431no—
819#390—431no—
820#390—431no—
821#389—431no—
822#389—431no—
823#389—431no—
824#389—431no—
825#389—431no—
826#389—431no—
827#388—431no—
828#388—431no—
829#388—431no—
830#388—431no—
831#388—431no—
832#388—431no—
833#388—431no—
834#388—431no—
835#388—431no—
836#388—431no—
837#388—431no—
838#388—431no—
839#388—431no—
840#388—431no—
841#388—431no—
842#388—431no—
843#387—431no—
844#387—431no—
845#387—431no—
846#387—431no—
847#387—431no—
848#387—431no—
849#387—431no—
850#387—431no—
851#387—431no—
852#387—431no—
853#387—431no—
854#387—431no—
855#387—431no—
856#387—431no—
857#387—431no—
858#387—431no—
859#387C2×D4311yescharacteristic
860#387C2×D4311yescharacteristic
861#387C2×D4311yescharacteristic
862#387C2×D4311yescharacteristic
863#387C2×D4311yescharacteristic
864#387C2×D4311yescharacteristic
865#387C2×D4311yescharacteristic
866#387C2×D4311yescharacteristic
867#386—431no—
868#386—431no—
869#386—431no—
870#386—431no—
871#386—431no—
872#386—431no—
873#386—431no—
874#386—431no—
875#386—431no—
876#386—431no—
877#386—431no—
878#386—431no—
879#385—431no—
880#385—431no—
881#385—431no—
882#385—431no—
883#385—431no—
884#385—431no—
885#385—431no—
886#385—431no—
887#384—431no—
888#384—431no—
889#383—431no—
890#382—431no—
891#381—431no—
892#381—431no—
893#381—431no—
894#381—431no—
895#381—431no—
896#380—431no—
897#380—431no—
898#380—431no—
899#380—431no—
900#380—431no—
901#380—431no—
902#380—431no—
903#380—431no—
904C4×C22⋊C4—431no—
905C2×#95C2×D4311yescharacteristic
906C2×#95C2×D4311yescharacteristic
907C2×#95C2×D4311yescharacteristic
908C2×#95C2×D4311yescharacteristic
909C43#3700011yescharacteristic, complemented, Sylow
910C22×D4—431no—
911C22×D4—431no—
912C22×D4—431no—
913C22×D4—431no—
914C22×D4—431no—
915C22×D4—431no—
916C23×C4—431no—
917C23×C4—431no—
918C23×C4—431no—
919C23×C4C22×D4311yescharacteristic
920C23×C4C22×D4311yescharacteristic
921C23×C4C22×D4311yescharacteristic
922C23×C4C22×D4311yescharacteristic
923C23×C4C22×D4311yescharacteristic
924C23×C4C22×D4311yescharacteristic
925C23×C4C22×D4311yescharacteristic
926#123—1722no—
927#123—1722no—
928#123—1722no—
929#123—1722no—
930#123—1722no—
931#123—1722no—
932#121—864no—
933#121—1722no—
934#121—1722no—
935C4×D4—864no—
936C4×D4—1722no—
937C4×D4—1722no—
938C2×C4⋊C4—24no—
939C2×C4⋊C4—42no—
940C2×C4⋊C4—431no—
941C2×C4⋊C4—431no—
942C2×C4⋊C4—431no—
943C2×C4⋊C4—431no—
944C2×C4⋊C4—431no—
945C2×C4⋊C4—431no—
946C2×C4⋊C4—431no—
947C2×C4⋊C4—431no—
948C2×C4⋊C4—431no—
949C2×C4⋊C4—431no—
950C2×C4⋊C4—431no—
951C2×C4⋊C4—431no—
952C2×C4⋊C4—431no—
953C2×C4⋊C4—431no—
954C2×C4⋊C4—431no—
955C2×C4⋊C4—431no—
956C2×C4⋊C4—431no—
957C2×C4⋊C4—431no—
958C2×C4⋊C4—431no—
959C2×C4⋊C4—431no—
960C2×C4⋊C4—431no—
961C2×C4⋊C4—431no—
962C2×C4⋊C4—431no—
963C2×C4⋊C4—431no—
964C2×C4⋊C4—431no—
965C2×C4⋊C4—431no—
966C2×C4⋊C4—431no—
967C2×C4⋊C4—431no—
968C2×C4⋊C4—431no—
969C2×C4⋊C4—431no—
970C2×C4⋊C4—431no—
971C2×C4⋊C4—431no—
972C2×C4⋊C4C22×D4311yescharacteristic
973C2×C4⋊C4C22×D4311yescharacteristic
974C2×C4⋊C4C22×D4311yescharacteristic
975C2×C4⋊C4C22×D4311yescharacteristic
976C2×C4⋊C4C22×D4311yescharacteristic
977C2×C4⋊C4C22×D4311yescharacteristic
978C2×C4⋊C4C22×D4311yescharacteristic
979C2×C4⋊C4C22×D4311yescharacteristic
980C2×C22⋊C4—431no—
981C2×C22⋊C4—431no—
982C2×C22⋊C4—431no—
983C2×C22⋊C4—431no—
984C2×C22⋊C4—431no—
985C2×C22⋊C4—431no—
986C2×C22⋊C4—431no—
987C2×C22⋊C4—431no—
988C2×C22⋊C4—431no—
989C2×C22⋊C4—431no—
990C2×C22⋊C4—431no—
991C2×C22⋊C4—431no—
992C2×C22⋊C4—431no—
993C2×C22⋊C4—431no—
994C2×C22⋊C4—431no—
995C2×C22⋊C4—431no—
996C2×C22⋊C4—431no—
997C2×C22⋊C4—431no—
998C2×C22⋊C4—431no—
999C2×C22⋊C4—431no—
1000C2×C22⋊C4—431no—
1001C2×C22⋊C4—431no—
1002C2×C22⋊C4—431no—
1003C2×C22⋊C4—431no—
1004C2×C22⋊C4—431no—
1005C2×C22⋊C4—431no—
1006C2×C22⋊C4—431no—
1007C2×C22⋊C4—431no—
1008C2×C22⋊C4—431no—
1009C2×C22⋊C4—431no—
1010C2×C22⋊C4—431no—
1011C2×C22⋊C4—431no—
1012C2×C22⋊C4—431no—
1013C2×C22⋊C4—431no—
1014C2×C22⋊C4—431no—
1015C2×C22⋊C4—431no—
1016C2×C22⋊C4—431no—
1017C2×C22⋊C4—431no—
1018C2×C42—42no—
1019C2×C42—431no—
1020C2×C42—431no—
1021C2×C42—431no—
1022C2×C42—431no—
1023C2×C42—431no—
1024C2×C42C22×D4311yescharacteristic
1025C2×C42C22×D4311yescharacteristic
1026C2×C42C22×D4311yescharacteristic
1027C2×C42C22×D4311yescharacteristic
1028#95—431no—
1029#95—431no—
1030#95—431no—
1031#95—431no—
1032#95—431no—
1033#95—431no—
1034#95—431no—
1035#95—431no—
1036#95—431no—
1037#95—431no—
1038#95—431no—
1039#95—431no—
1040#95—431no—
1041#95—431no—
1042#95—431no—
1043#95—431no—
1044#95—431no—
1045#95—431no—
1046#95—431no—
1047#95—431no—
1048#95—431no—
1049#95—431no—
1050#95—431no—
1051#95—431no—
1052#95—431no—
1053#95—431no—
1054#95—431no—
1055#95—431no—
1056#95—431no—
1057#95—431no—
1058#95—431no—
1059#95—431no—
1060#95—431no—
1061#95—431no—
1062#95—431no—
1063#95—431no—
1064#95C22×D4311yescharacteristic
1065#95C22×D4311yescharacteristic
1066#95C22×D4311yescharacteristic
1067#95C22×D4311yescharacteristic
1068#95C22×D4311yescharacteristic
1069#95C22×D4311yescharacteristic
1070#95C22×D4311yescharacteristic
1071#95C22×D4311yescharacteristic
1072#95C22×D4311yescharacteristic
1073#95C22×D4311yescharacteristic
1074#95C22×D4311yescharacteristic
1075#95C22×D4311yescharacteristic
1076#95C22×D4311yescharacteristic
1077#95C22×D4311yescharacteristic
1078#95C22×D4311yescharacteristic
1079#95C22×D4311yescharacteristic
1080C24—431no—
1081C24—431no—
1082C24—431no—
1083C24C23×D4311yescharacteristic
1084C2×D4—862no—
1085C2×D4—862no—
1086C2×D4—862no—
1087C2×D4—862no—
1088C2×D4—862no—
1089C2×D4—862no—
1090C2×D4—862no—
1091C2×D4—862no—
1092C2×D4—862no—
1093C2×D4—862no—
1094C2×D4—862no—
1095C2×D4—1721no—
1096C2×D4—1721no—
1097C2×D4—1721no—
1098C2×D4—1721no—
1099C2×D4—1721no—
1100C2×D4—1721no—
1101C2×D4—1721no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—431no—
1123C22×C4—431no—
1124C22×C4—431no—
1125C22×C4—431no—
1126C22×C4—431no—
1127C22×C4—431no—
1128C22×C4—431no—
1129C22×C4—431no—
1130C22×C4—431no—
1131C22×C4—431no—
1132C22×C4—431no—
1133C22×C4—431no—
1134C22×C4—431no—
1135C22×C4—862no—
1136C22×C4—1721no—
1137C22×C4—1721no—
1138C22×C4—1721no—
1139C22×C4—1721no—
1140C22×C4—1721no—
1141C22×C4—1721no—
1142C22×C4—1721no—
1143C22×C4—1721no—
1144C22×C4#1062189814yes—
1145C22×C4C23×D4311yescharacteristic
1146C22×C4C23×D4311yescharacteristic
1147C22×C4C23×D4311yescharacteristic
1148C22×C4C23×D4311yescharacteristic
1149C22×C4C23×D4311yescharacteristic
1150C22×C4C23×D4311yescharacteristic
1151C22×C4C23×D4311yescharacteristic
1152C22×C4C23×D4311yescharacteristic
1153C22×C4C23×D4311yescharacteristic
1154C22×C4C23×D4311yescharacteristic
1155C22×C4C23×D4311yescharacteristic
1156C22×C4C23×D4311yescharacteristic
1157C22×C4C23×D4311yescharacteristic
1158C22×C4C23×D4311yescharacteristic
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—22no—
1162C4⋊C4—22no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—862no—
1168C4⋊C4—862no—
1169C4⋊C4—862no—
1170C4⋊C4—862no—
1171C4⋊C4—1721no—
1172C4⋊C4—1721no—
1173C4⋊C4—1721no—
1174C4⋊C4—1721no—
1175C4⋊C4—1721no—
1176C4⋊C4—1721no—
1177C4⋊C4—1721no—
1178C4⋊C4—1721no—
1179C4⋊C4—1721no—
1180C4⋊C4—1721no—
1181C4⋊C4—1721no—
1182C4⋊C4—1721no—
1183C4⋊C4—1721no—
1184C4⋊C4—1721no—
1185C4⋊C4—1721no—
1186C4⋊C4—1721no—
1187C4⋊C4—1721no—
1188C4⋊C4—1721no—
1189C4⋊C4—1721no—
1190C4⋊C4—1721no—
1191C4⋊C4—1721no—
1192C4⋊C4—1721no—
1193C4⋊C4—1721no—
1194C4⋊C4—1721no—
1195C4⋊C4—1721no—
1196C4⋊C4—1721no—
1197C4⋊C4—1721no—
1198C4⋊C4—1721no—
1199C22⋊C4—862no—
1200C22⋊C4—862no—
1201C22⋊C4—862no—
1202C22⋊C4—862no—
1203C22⋊C4—862no—
1204C22⋊C4—862no—
1205C22⋊C4—862no—
1206C22⋊C4—862no—
1207C22⋊C4—862no—
1208C22⋊C4—1721no—
1209C22⋊C4—1721no—
1210C22⋊C4—1721no—
1211C22⋊C4—1721no—
1212C22⋊C4—1721no—
1213C22⋊C4—1721no—
1214C22⋊C4—1721no—
1215C22⋊C4—1721no—
1216C22⋊C4—1721no—
1217C22⋊C4—1721no—
1218C22⋊C4—1721no—
1219C22⋊C4—1721no—
1220C22⋊C4—1721no—
1221C22⋊C4—1721no—
1222C22⋊C4—1721no—
1223C22⋊C4—1721no—
1224C22⋊C4—1721no—
1225C22⋊C4—1721no—
1226C22⋊C4—1721no—
1227C22⋊C4—1721no—
1228C22⋊C4—1721no—
1229C22⋊C4—1721no—
1230C22⋊C4—1721no—
1231C22⋊C4—1721no—
1232C22⋊C4—1721no—
1233C22⋊C4—1721no—
1234C22⋊C4—1721no—
1235C22⋊C4—1721no—
1236C22⋊C4—1721no—
1237C42—41no—
1238C42—41no—
1239C42—41no—
1240C42—41no—
1241C42—862no—
1242C42—1721no—
1243C42—1721no—
1244C42—1721no—
1245C42—1721no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—861no—
1251C23—861no—
1252C23—861no—
1253C23—861no—
1254C23—861no—
1255C23—861no—
1256C23—861no—
1257C23—861no—
1258C23—861no—
1259C23—861no—
1260C23—861no—
1261C23—861no—
1262C23—861no—
1263C23—861no—
1264C23—861no—
1265C23—861no—
1266C23—861no—
1267C23—861no—
1268C23—861no—
1269C23—861no—
1270C23—861no—
1271C23C2×#1062189812yes—
1272C23#1306337012yes—
1273C23#1306337112yes—
1274C23C24×D4311yescharacteristic
1275D4—3442no—
1276D4—3442no—
1277D4—3442no—
1278D4—1724no—
1279D4—1724no—
1280D4—1724no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—44no—
1321C2×C4—44no—
1322C2×C4—44no—
1323C2×C4—44no—
1324C2×C4—44no—
1325C2×C4—82no—
1326C2×C4—82no—
1327C2×C4—861no—
1328C2×C4—861no—
1329C2×C4—861no—
1330C2×C4—861no—
1331C2×C4—861no—
1332C2×C4—861no—
1333C2×C4—861no—
1334C2×C4—861no—
1335C2×C4—861no—
1336C2×C4—861no—
1337C2×C4—861no—
1338C2×C4—861no—
1339C2×C4—861no—
1340C2×C4—861no—
1341C2×C4—861no—
1342C2×C4—861no—
1343C2×C4—861no—
1344C2×C4—861no—
1345C2×C4—861no—
1346C2×C4—861no—
1347C2×C4—861no—
1348C2×C4—861no—
1349C2×C4—861no—
1350C2×C4—861no—
1351C2×C4—861no—
1352C2×C4—861no—
1353C2×C4—861no—
1354C2×C4—861no—
1355C2×C4—861no—
1356C2×C4—861no—
1357C2×C4—861no—
1358C2×C4—861no—
1359C2×C4—861no—
1360C2×C4—861no—
1361C2×C4—861no—
1362C2×C4—861no—
1363C2×C4—861no—
1364C2×C4—861no—
1365C2×C4—861no—
1366C2×C4—3442no—
1367C2×C4—3442no—
1368C2×C4—3442no—
1369C2×C4C2×#1062189812yes—
1370C2×C4C2×#1062189812yes—
1371C2×C4#1306337312yes—
1372C22—22no—
1373C22—22no—
1374C22—22no—
1375C22—22no—
1376C22—22no—
1377C22—22no—
1378C22—1721no—
1379C22—1721no—
1380C22—1721no—
1381C22—1721no—
1382C22—1721no—
1383C22—1721no—
1384C22—1721no—
1385C22—1721no—
1386C22—1721no—
1387C22—1721no—
1388C22—1721no—
1389C22—1721no—
1390C22—1721no—
1391C22—1721no—
1392C22—1721no—
1393C22—1721no—
1394C22—1721no—
1395C22—1721no—
1396C22—1721no—
1397C22—1721no—
1398C22—1721no—
1399C22#1458350014yes—
1400C22C22×#1062189811yescharacteristic
1401C22C2×#1306337011yescharacteristic
1402C22C2×#1306337111yescharacteristic
1403C22C2×#1306337311yescharacteristic
1404C22#1458373511yescharacteristic
1405C22#1458373511yescharacteristic
1406C22#1458373511yescharacteristic
1407C4—22no—
1408C4—22no—
1409C4—22no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—1721no—
1422C4—1721no—
1423C4—1721no—
1424C4—1721no—
1425C4—1721no—
1426C4—1721no—
1427C4—1721no—
1428C4—1721no—
1429C4—1721no—
1430C4—1721no—
1431C4—1721no—
1432C4—1721no—
1433C4—1721no—
1434C2—24no—
1435C2—3441no—
1436C2—3441no—
1437C2—3441no—
1438C2C2×#1458350011yescharacteristic
1439C2#1914829311yescharacteristic
1440C2#1914846011yescharacteristic
1441C2#1914876611yescharacteristic
1442C2#1914880411yescharacteristic
1443C2#1914912911yescharacteristic
1444C2#1914914711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC2×C43×#387C2
prime radical#19139555C2
hypercenterC2×#387D43
hypocenterC43#37000
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#387

Complements

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

NH ≅ G/Ntype
1. #19142926C2semidirect
2. #19142917C2semidirect
3. #19142447C2semidirect
4. #19142407C2semidirect
5. #19142399C2semidirect
6. #19142381C2semidirect
7. #19142377C2semidirect
8. #19142314C2semidirect
9. #19142192C2semidirect
10. #19142132C2semidirect
11. #19142069C2semidirect
12. #19141858C2semidirect
13. #19141803C2semidirect
14. #19141737C2semidirect
15. #19141705C2semidirect
16. #19141696C2semidirect
17. #19141690C2semidirect
18. #19141662C2semidirect
19. #19140375C2semidirect
20. #19140337C2semidirect
21. #19139819C2semidirect
23. #19139062C2semidirect
24. #19138897C2semidirect
25. #19138146C2semidirect
26. #19138146C2semidirect
27. #19138072C2semidirect
28. #19138072C2semidirect
29. #19137298C2semidirect
30. #19137229C2semidirect
31. C2×C43×#387C2semidirect
742. C2×#387D43semidirect
909. C43#37000semidirect

Maximal subgroups

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

subgroupindex
#191429262
#191429172
#191424472
#191424072
#191423992
#191423812
#191423772
#191423142
#191421922
#191421322
#191420692
#191418582
#191418032
#191417372
#191417052
#191416962
#191416902
#191416622
#191403752
#191403372
#191398192
#191395552
#191390622
#191388972
#191381462
#191380722
#191372982
#191372292
C2×C43×#3872
#3700043