Finite Group Databasebeta

← #25305487

Subgroups — #25305487

Order 11008.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142890C211yesmaximal, characteristic, complemented
2#19142876C211yesmaximal, characteristic, complemented
3#19142308C211yesmaximal, characteristic, complemented
4#19141912C211yesmaximal, characteristic, complemented
5#19141873C211yesmaximal, characteristic, complemented
6#19141856C211yesmaximal, characteristic, complemented
7#19141817C211yesmaximal, characteristic, complemented
8#19141696C211yesmaximal, characteristic, complemented
9#19141327C211yesmaximal, characteristic, complemented
10#19141323C211yesmaximal, characteristic, complemented
11#19141276C211yesmaximal, characteristic, complemented
12#19141235C211yesmaximal, characteristic, complemented
13#19141183C211yesmaximal, characteristic, complemented
14#19141029C211yesmaximal, characteristic, complemented
15#19140862C211yesmaximal, characteristic, complemented
16#19140860C211yesmaximal, characteristic, complemented
17#19140824C211yesmaximal, characteristic, complemented
18#19140369C211yesmaximal, characteristic, complemented
19#19140334C211yesmaximal, characteristic, complemented
20#19139817C211yesmaximal, characteristic, complemented
21#19139552C211yesmaximal, characteristic, complemented
22#19138231C211yesmaximal, characteristic, complemented
23#19138138C211yesmaximal, characteristic, complemented
24#19138124C211yesmaximal, characteristic, complemented
25#19138062C211yesmaximal, characteristic, complemented
26#19138058C211yesmaximal, characteristic, complemented
27#19137944C211yesmaximal, characteristic, complemented
28#19137294C211yesmaximal, characteristic, complemented
29#19137225C211yesmaximal, characteristic, complemented
30#386×D43C211yesmaximal, characteristic, complemented
31C43×#2797C211yesmaximal, characteristic, complemented
32C22×D4×D43C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34C2×#13063322C2211yescharacteristic
35C2×#13063321C2211yescharacteristic
36C2×#13063310C2211yescharacteristic, complemented
37C2×#13063310C2211yescharacteristic, complemented
38C2×#13063307C2211yescharacteristic, complemented
39C2×#13063307C2211yescharacteristic, complemented
40C2×#13063300C2211yescharacteristic
41C2×#13063298C2211yescharacteristic
42C2×#13063298C2211yescharacteristic
43C2×#13063298C2211yescharacteristic, complemented
44C2×#13063298C2211yescharacteristic, complemented
45C2×#13063297C2211yescharacteristic
46C2×#13063297C2211yescharacteristic
47C2×#13063297C2211yescharacteristic, complemented
48C2×#13063296C2211yescharacteristic, complemented
49C2×#13063295C2211yescharacteristic
50C2×#13063295C2211yescharacteristic
51C2×#13063295C2211yescharacteristic
52C2×#13063295C2211yescharacteristic
53C2×#13063293C2211yescharacteristic
54C2×#13063293C2211yescharacteristic
55C2×C4×D172C2211yescharacteristic
56C2×#13063287C2211yescharacteristic
57C2×(C22⋊D43)⋊C4C2211yescharacteristic
58C2×C22⋊C4×D43C2211yescharacteristic
59C2×C22⋊C4×D43C2211yescharacteristic
60C2×C22⋊C4×D43C2211yescharacteristic
61#14582839C2211yescharacteristic, complemented
62#14582837C2211yescharacteristic, complemented
63#14582836C2211yescharacteristic, complemented
64#14582834C2211yescharacteristic, complemented
65#14582833C2211yescharacteristic, complemented
66#14582830C2211yescharacteristic, complemented
67#14582830C2211yescharacteristic, complemented
68#14582828C2211yescharacteristic, complemented
69#14582828C2211yescharacteristic, complemented
70#14582827C2211yescharacteristic, complemented
71#14582827C2211yescharacteristic, complemented
72#14582826C2211yescharacteristic, complemented
73#14582824C2211yescharacteristic, complemented
74#14582822C2211yescharacteristic, complemented
75#14582821C2211yescharacteristic, complemented
76#14582817C2211yescharacteristic
77#14582817C2211yescharacteristic, complemented
78#14582817C2211yescharacteristic, complemented
79#14582817C2211yescharacteristic, complemented
80#14582816C2211yescharacteristic, complemented
81#14582816C2211yescharacteristic, complemented
82#14582816C2211yescharacteristic, complemented
83#14582816C2211yescharacteristic, complemented
84#14582815C2211yescharacteristic, complemented
85#14582815C2211yescharacteristic, complemented
86#14582815C2211yescharacteristic, complemented
87#14582815C2211yescharacteristic, complemented
88#14582815C2211yescharacteristic, complemented
89#14582814C2211yescharacteristic, complemented
90#14582814C2211yescharacteristic, complemented
91#14582814C2211yescharacteristic, complemented
92#14582813C2211yescharacteristic
93#14582808C2211yescharacteristic
94#14582808C2211yescharacteristic
95#14582808C2211yescharacteristic
96#14582808C2211yescharacteristic
97#14582808C2211yescharacteristic
98#14582808C2211yescharacteristic, complemented
99#14582808C2211yescharacteristic, complemented
100#14582808C2211yescharacteristic, complemented
101#14582807C2211yescharacteristic, complemented
102#14582807C2211yescharacteristic, complemented
103#14582800C2211yescharacteristic
104#14582799C2211yescharacteristic
105#14582799C2211yescharacteristic
106#14582799C2211yescharacteristic, complemented
107#14582793C2211yescharacteristic, complemented
108#14582792C2211yescharacteristic, complemented
109#14582791C2211yescharacteristic, complemented
110#14582790C2211yescharacteristic, complemented
111#14582790C2211yescharacteristic, complemented
112#14582790C2211yescharacteristic, complemented
113#14582788C2211yescharacteristic, complemented
114#14582788C2211yescharacteristic, complemented
115#14582788C2211yescharacteristic, complemented
116#14582787C2211yescharacteristic, complemented
117#14582786C2211yescharacteristic, complemented
118#14582786C2211yescharacteristic, complemented
119#14582785C2211yescharacteristic, complemented
120#14582783C2211yescharacteristic, complemented
121#14582783C2211yescharacteristic, complemented
122#14582781C2211yescharacteristic, complemented
123#14582779C2211yescharacteristic
124#14582778C2211yescharacteristic
125#14582778C2211yescharacteristic, complemented
126#14582778C2211yescharacteristic, complemented
127#14582777C2211yescharacteristic
128#14582777C2211yescharacteristic
129#14582777C2211yescharacteristic
130#14582777C2211yescharacteristic
131#14582777C2211yescharacteristic
132#14582777C2211yescharacteristic
133#14582777C2211yescharacteristic, complemented
134#14582777C2211yescharacteristic, complemented
135#14582777C2211yescharacteristic, complemented
136#14582777C2211yescharacteristic, complemented
137#14582777C2211yescharacteristic, complemented
138#14582777C2211yescharacteristic, complemented
139#14582776C2211yescharacteristic
140#14582776C2211yescharacteristic, complemented
141#14582776C2211yescharacteristic, complemented
142#14582776C2211yescharacteristic, complemented
143#14582775C2211yescharacteristic
144#14582775C2211yescharacteristic
145#14582775C2211yescharacteristic
146#14582775C2211yescharacteristic
147#14582775C2211yescharacteristic, complemented
148#14582775C2211yescharacteristic, complemented
149#14582773C2211yescharacteristic
150#14582773C2211yescharacteristic
151#14582773C2211yescharacteristic, complemented
152#14582771C2211yescharacteristic, complemented
153#14582770C2211yescharacteristic
154#14582770C2211yescharacteristic
155#14582770C2211yescharacteristic, complemented
156#14582766C2211yescharacteristic, complemented
157#14582764C2211yescharacteristic, complemented
158#14582761C2211yescharacteristic, complemented
159#14582761C2211yescharacteristic, complemented
160#14582760C2211yescharacteristic, complemented
161#14582758C2211yescharacteristic
162#14582758C2211yescharacteristic
163#14582758C2211yescharacteristic, complemented
164#14582757C2211yescharacteristic, complemented
165#14582757C2211yescharacteristic, complemented
166#14582756C2211yescharacteristic
167#14582754C2211yescharacteristic
168#14582754C2211yescharacteristic
169C4×(C2×D43)⋊C4C2211yescharacteristic
170#95×D43C2211yescharacteristic
171#95×D43C2211yescharacteristic
172C43×#397C2211yescharacteristic, complemented
173C43×#397C2211yescharacteristic, complemented
174C43×#397C2211yescharacteristic, complemented
175C43×#394C2211yescharacteristic, complemented
176C43×#394C2211yescharacteristic, complemented
177C43×#392C2211yescharacteristic
178C43×#390C2211yescharacteristic
179C43×#390C2211yescharacteristic, complemented
180C43×#388C2211yescharacteristic, complemented
181C43×#388C2211yescharacteristic, complemented
182C43×#387C2211yescharacteristic, complemented
183C43×#387C2211yescharacteristic, complemented
184C43×#386C2211yescharacteristic
185C43×#386C2211yescharacteristic, complemented
186C43×#385C2211yescharacteristic, complemented
187C24×D43C2311yescharacteristic
188C24×D43C2311yescharacteristic
189C22×D172C2311yescharacteristic
190C22×D172C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×D172C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C22×C22⋊D43C2311yescharacteristic
207C22×C22⋊D43C2311yescharacteristic
208C2×D4×D43—24no—
209C2×D4×D43—42no—
210C2×D4×D43—42no—
211C23×Dic43C2311yescharacteristic
212C23×Dic43C2311yescharacteristic
213C22×C4×D43—42no—
214C22×C4×D43—42no—
215C22×C4×D43—42no—
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224C22×C4×D43C2311yescharacteristic
225#13063322—42no—
226#13063321—42no—
227#13063310—42no—
228#13063310—42no—
229#13063307—42no—
230#13063307—42no—
231#13063300—24no—
232#13063298—42no—
233#13063298—42no—
234#13063298—42no—
235#13063298—42no—
236#13063297—42no—
237#13063297—42no—
238#13063297—42no—
239#13063296—42no—
240#13063295—42no—
241#13063295—42no—
242#13063295—42no—
243#13063295—42no—
244#13063293—42no—
245#13063293—42no—
246C4×D172—42no—
247#13063287—42no—
248(C22⋊D43)⋊C4—24no—
249C2×C4⋊Dic43C2311yescharacteristic
250C2×C4⋊Dic43C2311yescharacteristic
251C2×C4⋊Dic43C2311yescharacteristic
252C2×C4⋊Dic43C2311yescharacteristic
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C2×Dic43⋊C4C2311yescharacteristic
263C2×Dic43⋊C4C2311yescharacteristic
264C2×C22⋊Dic43C2311yescharacteristic
265C2×C22⋊Dic43C2311yescharacteristic
266C2×C22⋊Dic43C2311yescharacteristic
267C2×C22⋊Dic43C2311yescharacteristic
268C2×C22⋊Dic43C2311yescharacteristic
269C2×C22⋊Dic43C2311yescharacteristic
270C2×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×(C2×D43)⋊C4C2311yescharacteristic
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C22⋊C4×D43—42no—
309C22⋊C4×D43—42no—
310C22⋊C4×D43—42no—
311C2×C4×Dic43C2311yescharacteristic
312C2×C4×Dic43C2311yescharacteristic
313C2×C4×Dic43C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C22×D4×C43C2311yescharacteristic
341C22×D4×C43C2311yescharacteristic
342C22×D4×C43C2311yescharacteristic
343C23×C4×C43C2311yescharacteristic
344C2×C4⋊C4×C43C2311yescharacteristic
345C2×C4⋊C4×C43C2311yescharacteristic
346C2×C4⋊C4×C43C2311yescharacteristic
347C2×C4⋊C4×C43C2311yescharacteristic
348C2×C4⋊C4×C43C2311yescharacteristic
349C2×C22⋊C4×C43C2311yescharacteristic
350C2×C22⋊C4×C43C2311yescharacteristic
351C2×C22⋊C4×C43C2311yescharacteristic
352C2×C22⋊C4×C43C2311yescharacteristic
353C2×C22⋊C4×C43C2311yescharacteristic
354C2×C22⋊C4×C43C2311yescharacteristic
355C2×C22⋊C4×C43C2311yescharacteristic
356C2×C22⋊C4×C43C2311yescharacteristic
357C2×C22⋊C4×C43C2311yescharacteristic
358C2×C22⋊C4×C43C2311yescharacteristic
359C2×C22⋊C4×C43C2311yescharacteristic
360C2×C22⋊C4×C43C2311yescharacteristic
361C2×C22⋊C4×C43C2311yescharacteristic
362C2×C22⋊C4×C43C2311yescharacteristic
363C2×C42×C43C2311yescharacteristic
364C2×C42×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369#95×C43C2311yescharacteristic
370#95×C43C2311yescharacteristic
371#95×C43C2311yescharacteristic
372#95×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375C24×C43C2411yescharacteristic
376C24×C43C2411yescharacteristic
377C24×C43C2411yescharacteristic
378C23×D43—22no—
379C23×D43—22no—
380C23×D43—22no—
381C23×D43—22no—
382C23×D43—22no—
383C23×D43—22no—
384C23×D43—22no—
385C23×D43—22no—
386C23×D43—41no—
387C23×D43—41no—
388C23×D43—41no—
389C23×D43—41no—
390C23×D43—41no—
391C23×D43—41no—
392C23×D43C2411yescharacteristic
393C23×D43C2411yescharacteristic
394C23×D43C2411yescharacteristic
395C23×D43C2411yescharacteristic
396C23×D43C2411yescharacteristic
397C2×D4×C43—22no—
398C2×D4×C43—22no—
399C2×D4×C43—22no—
400C2×D4×C43—41no—
401C2×D4×C43—41no—
402C2×D4×C43—41no—
403C2×D4×C43—41no—
404C2×D4×C43—41no—
405C2×D4×C43—41no—
406C22×C4×C43—41no—
407C22×C4×C43—41no—
408C22×C4×C43—41no—
409C22×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C2×C22⋊D43—22no—
422C2×C22⋊D43—22no—
423C2×C22⋊D43—22no—
424C2×C22⋊D43—22no—
425C2×C22⋊D43—22no—
426C2×C22⋊D43—22no—
427C2×C22⋊D43—22no—
428C2×C22⋊D43—22no—
429C2×C22⋊D43—22no—
430C2×C22⋊D43—22no—
431C2×C22⋊D43—22no—
432C2×C22⋊D43—41no—
433C2×C22⋊D43—41no—
434C2×C22⋊D43—41no—
435C2×C22⋊D43—41no—
436C2×C22⋊D43—41no—
437C2×C22⋊D43—41no—
438C2×C22⋊D43—41no—
439C2×C22⋊D43—41no—
440C2×C22⋊D43—41no—
441C2×C22⋊D43—41no—
442C2×C22⋊D43—41no—
443C2×C22⋊D43—41no—
444C2×C22⋊D43—41no—
445C2×C22⋊D43—41no—
446C2×C22⋊D43—41no—
447C2×C22⋊D43—41no—
448C2×C22⋊D43—41no—
449C2×C22⋊D43—41no—
450C2×C22⋊D43—41no—
451C2×C22⋊D43—41no—
452C2×C22⋊D43—41no—
453C2×C22⋊D43—41no—
454C22×Dic43—22no—
455C22×Dic43—22no—
456C22×Dic43—41no—
457C22×Dic43—41no—
458C22×Dic43—41no—
459C22×Dic43—41no—
460C22×Dic43C2411yescharacteristic
461C22×Dic43C2411yescharacteristic
462C22×Dic43C2411yescharacteristic
463C22×Dic43C2411yescharacteristic
464C22×Dic43C2411yescharacteristic
465C22×Dic43C2411yescharacteristic
466C22×Dic43C2411yescharacteristic
467C22×Dic43C2411yescharacteristic
468C22×Dic43C2411yescharacteristic
469C22×Dic43C2411yescharacteristic
470C22×Dic43C2411yescharacteristic
471D4×D43—416no—
472C2×D172—22no—
473C2×D172—22no—
474C2×D172—22no—
475C2×D172—22no—
476C2×D172—22no—
477C2×D172—22no—
478C2×D172—22no—
479C2×D172—22no—
480C2×D172—22no—
481C2×D172—22no—
482C2×D172—22no—
483C2×D172—41no—
484C2×D172—41no—
485C2×D172—41no—
486C2×D172—41no—
487C2×D172—41no—
488C2×D172—41no—
489C2×D172—41no—
490C2×D172—41no—
491C2×D172—41no—
492C2×D172—41no—
493C2×D172—41no—
494C2×D172—41no—
495C2×D172—41no—
496C2×C4×D43—22no—
497C2×C4×D43—22no—
498C2×C4×D43—22no—
499C2×C4×D43—22no—
500C2×C4×D43—22no—
501C2×C4×D43—22no—
502C2×C4×D43—22no—
503C2×C4×D43—22no—
504C2×C4×D43—41no—
505C2×C4×D43—41no—
506C2×C4×D43—41no—
507C2×C4×D43—41no—
508C2×C4×D43—41no—
509C2×C4×D43—41no—
510C2×C4×D43—41no—
511C2×C4×D43—41no—
512C2×C4×D43—41no—
513C2×C4×D43—41no—
514C2×C4×D43—41no—
515C2×C4×D43—41no—
516C2×C4×D43—41no—
517C2×C4×D43—41no—
518C2×C4×D43—41no—
519C2×C4×D43—41no—
520C2×C4×D43—41no—
521C2×C4×D43—41no—
522C2×C4×D43—416no—
523C2×C4×D43#4114yes—
524C4⋊C4×C43—22no—
525C4⋊C4×C43—41no—
526C4⋊C4×C43—41no—
527C4⋊C4×C43—41no—
528C4⋊C4×C43—41no—
529C22⋊C4×C43—22no—
530C22⋊C4×C43—22no—
531C22⋊C4×C43—41no—
532C22⋊C4×C43—41no—
533C22⋊C4×C43—41no—
534C22⋊C4×C43—41no—
535C22⋊C4×C43—41no—
536C22⋊C4×C43—41no—
537C22⋊C4×C43—41no—
538C22⋊C4×C43—41no—
539C22⋊C4×C43—41no—
540C22⋊C4×C43—41no—
541C22⋊C4×C43—41no—
542C22⋊C4×C43—41no—
543C42×C43—41no—
544C42×C43—41no—
545C22⋊Dic43—22no—
546C22⋊Dic43—22no—
547C22⋊Dic43—22no—
548C22⋊Dic43—41no—
549C22⋊Dic43—41no—
550C22⋊Dic43—41no—
551C22⋊Dic43—41no—
552C22⋊Dic43—41no—
553C22⋊Dic43—41no—
554(C2×D43)⋊C4—22no—
555(C2×D43)⋊C4—22no—
556(C2×D43)⋊C4—22no—
557(C2×D43)⋊C4—22no—
558(C2×D43)⋊C4—22no—
559(C2×D43)⋊C4—22no—
560(C2×D43)⋊C4—22no—
561(C2×D43)⋊C4—22no—
562(C2×D43)⋊C4—22no—
563(C2×D43)⋊C4—22no—
564(C2×D43)⋊C4—41no—
565(C2×D43)⋊C4—41no—
566(C2×D43)⋊C4—41no—
567(C2×D43)⋊C4—41no—
568(C2×D43)⋊C4—41no—
569(C2×D43)⋊C4—41no—
570(C2×D43)⋊C4—41no—
571(C2×D43)⋊C4—41no—
572(C2×D43)⋊C4—41no—
573(C2×D43)⋊C4—41no—
574(C2×D43)⋊C4—41no—
575(C2×D43)⋊C4—41no—
576(C2×D43)⋊C4—41no—
577(C2×D43)⋊C4—41no—
578(C2×D43)⋊C4—41no—
579(C2×D43)⋊C4—41no—
580(C2×D43)⋊C4—41no—
581(C2×D43)⋊C4—41no—
582(C2×D43)⋊C4—41no—
583(C2×D43)⋊C4—41no—
584(C2×D43)⋊C4—41no—
585(C2×D43)⋊C4—41no—
586(C2×D43)⋊C4—41no—
587(C2×D43)⋊C4—41no—
588(C2×D43)⋊C4—41no—
589C4⋊Dic43—41no—
590C4⋊Dic43—41no—
591C4⋊Dic43—41no—
592C4⋊Dic43—41no—
593Dic43⋊C4—22no—
594Dic43⋊C4—22no—
595Dic43⋊C4—22no—
596Dic43⋊C4—41no—
597Dic43⋊C4—41no—
598Dic43⋊C4—41no—
599Dic43⋊C4—41no—
600Dic43⋊C4—41no—
601Dic43⋊C4—41no—
602Dic43⋊C4—41no—
603Dic43⋊C4—41no—
604C4×Dic43—22no—
605C4×Dic43—41no—
606C4×Dic43—41no—
607C23×C43—21no—
608C23×C43—21no—
609C23×C43—21no—
610C23×C43—21no—
611C23×C43—21no—
612C23×C43—21no—
613C23×C43—21no—
614C23×C43—21no—
615C23×C43—21no—
616C23×C43—21no—
617C23×C43—21no—
618C23×C43—21no—
619C23×C43—21no—
620C23×C43—21no—
621C23×C43—21no—
622C23×C43—21no—
623C23×C43—21no—
624C23×C43—21no—
625C23×C43—21no—
626C23×C43—21no—
627C23×C43H(5,𝔽2)12yes—
628C23×C43C2511yescharacteristic
629C22×D43—21no—
630C22×D43—21no—
631C22×D43—21no—
632C22×D43—21no—
633C22×D43—28no—
634C22×D43—21no—
635C22×D43—21no—
636C22×D43—21no—
637C22×D43—21no—
638C22×D43—21no—
639C22×D43—21no—
640C22×D43—21no—
641C22×D43—21no—
642C22×D43—21no—
643C22×D43—21no—
644C22×D43—21no—
645C22×D43—21no—
646C22×D43—21no—
647C22×D43—21no—
648C22×D43—21no—
649C22×D43—21no—
650C22×D43—21no—
651C22×D43—21no—
652C22×D43—21no—
653C22×D43—21no—
654C22×D43—21no—
655C22×D43—21no—
656C22×D43—21no—
657C22×D43—21no—
658C22×D43—21no—
659C22×D43—21no—
660C22×D43—21no—
661C22×D43—44no—
662C22×D43—44no—
663C22×D43—44no—
664C22×D43—44no—
665C22×D43—44no—
666C22×D43—44no—
667C22×D43—44no—
668C22×D43—44no—
669C22×D43—44no—
670C22×D43—82no—
671C22×D43—82no—
672C22×D43—82no—
673C22×D43—82no—
674C22×D43C2×#4112yes—
675C22×D43H(5,𝔽2)12yes—
676C22×D43H(5,𝔽2)12yes—
677C22×D43H(5,𝔽2)12yes—
678D4×C43—44no—
679D4×C43—82no—
680D4×C43—82no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—44no—
717C2×C4×C43C2×#4112yes—
718C22⋊D43—44no—
719C22⋊D43—44no—
720C22⋊D43—44no—
721C22⋊D43—82no—
722C22⋊D43—82no—
723C22⋊D43—82no—
724C22⋊D43—82no—
725C22⋊D43—82no—
726C22⋊D43—82no—
727C22⋊D43—82no—
728C22⋊D43—82no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—44no—
761C2×Dic43—82no—
762C2×Dic43C2×#4112yes—
763C2×Dic43H(5,𝔽2)12yes—
764D172—44no—
765D172—44no—
766D172—44no—
767D172—82no—
768D172—82no—
769D172—82no—
770D172—82no—
771D172—82no—
772C4×D43—44no—
773C4×D43—44no—
774C4×D43—44no—
775C4×D43—44no—
776C4×D43—44no—
777C4×D43—82no—
778C4×D43—82no—
779C4×D43—82no—
780C4×D43—82no—
781#36794—431nomaximal, Sylow
782C22×C43—22no—
783C22×C43—22no—
784C22×C43—22no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43—41no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43—41no—
799C22×C43—41no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43C22×#4111yescharacteristic
804C22×C43C2×H(5,𝔽2)11yescharacteristic
805C22×C43C2×H(5,𝔽2)11yescharacteristic
806C22×C43C2×H(5,𝔽2)11yescharacteristic
807C22×C43C2×H(5,𝔽2)11yescharacteristic
808C22×C43C2×H(5,𝔽2)11yescharacteristic
809C22×C43#58511yescharacteristic
810C2×D43—22no—
811C2×D43—22no—
812C2×D43—22no—
813C2×D43—22no—
814C2×D43—22no—
815C2×D43—22no—
816C2×D43—22no—
817C2×D43—22no—
818C2×D43—22no—
819C2×D43—416no—
820C2×D43—41no—
821C2×D43—41no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—41no—
826C2×D43—41no—
827C2×D43—41no—
828C2×D43—41no—
829C2×D43—41no—
830C2×D43—41no—
831C2×D43—41no—
832C2×D43—41no—
833C2×D43—41no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—88no—
846C2×D43#54014yes—
847C4×C43—22no—
848C4×C43—41no—
849C4×C43—41no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855C4×C43—41no—
856C4×C43—41no—
857C4×C43—41no—
858C4×C43—41no—
859Dic43—22no—
860Dic43—22no—
861Dic43—41no—
862Dic43—41no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868Dic43—41no—
869Dic43—41no—
870#2849—431no—
871#2847—431no—
872#2797D4311yescharacteristic, complemented
873#2786—431no—
874#2756—431no—
875#2753—431no—
876#2752—431no—
877#2749—431no—
878#2740—431no—
879#2709—431no—
880#2709—431no—
881#2706—431no—
882#2703—431no—
883#2699—431no—
884#2688—431no—
885#2673—431no—
886#2673—431no—
887#2671—431no—
888#2622—431no—
889#2617—431no—
890#2569—431no—
891#2543—431no—
892#2433—431no—
893#2424—431no—
894#2424—431no—
895#2418—431no—
896#2418—431no—
897#2408—431no—
898#2325—431no—
899#2318—431no—
900C2×#386—431no—
901C2×C43—42no—
902C2×C43—81no—
903C2×C43—81no—
904C2×C43C2×#54011yescharacteristic
905C2×C43#349011yescharacteristic
906C2×C43#350611yescharacteristic
907C2×C43#353211yescharacteristic
908C2×C43#353411yescharacteristic
909C2×C43#353411yescharacteristic
910C2×C43#353711yescharacteristic
911D43—24no—
912D43—42no—
913D43—81no—
914D43—81no—
915D43—81no—
916C23×D4—431no—
917C24×C4—431no—
918C2×#127—431no—
919C2×#127—431no—
920C2×#123—431no—
921C2×#123—431no—
922C2×#123—431no—
923C2×#123—431no—
924C2×#121—431no—
925C2×#121—431no—
926C2×#121—431no—
927C2×#121—431no—
928C2×#121—431no—
929C2×#121—431no—
930C2×#121—431no—
931C2×#121—431no—
932C2×#121—431no—
933C2×#120—431no—
934C2×#120—431no—
935C2×#120—431no—
936C2×#120—431no—
937C2×#120—431no—
938C2×#120—431no—
939C2×C4×D4—431no—
940C2×C4×D4—431no—
941C2×C4×D4—431no—
942C22×C22⋊C4—431no—
943C22×C22⋊C4—431no—
944C22×C22⋊C4—431no—
945#400—431no—
946#400—431no—
947#399—431no—
948#399—431no—
949#398—431no—
950#398—431no—
951#398—431no—
952#397—431no—
953#397—431no—
954#397—431no—
955#397—431no—
956#397—431no—
957#397—431no—
958#397C2×D4311yescharacteristic, complemented
959#397C2×D4311yescharacteristic, complemented
960#397C2×D4311yescharacteristic, complemented
961#396—431no—
962#396—431no—
963#394—431no—
964#394—431no—
965#394—431no—
966#394—431no—
967#394—431no—
968#394—431no—
969#394—431no—
970#394—431no—
971#394—431no—
972#394—431no—
973#394—431no—
974#394—431no—
975#394—431no—
976#394—431no—
977#394—431no—
978#394—431no—
979#394—431no—
980#394C2×D4311yescharacteristic, complemented
981#394C2×D4311yescharacteristic, complemented
982#392—431no—
983#392—431no—
984#392—431no—
985#392—431no—
986#392—431no—
987#392—431no—
988#392—431no—
989#392—431no—
990#392—431no—
991#392—431no—
992#392C2×D4311yescharacteristic
993#390—431no—
994#390—431no—
995#390—431no—
996#390—431no—
997#390C2×D4311yescharacteristic
998#390C2×D4311yescharacteristic, complemented
999#388—431no—
1000#388—431no—
1001#388—431no—
1002#388—431no—
1003#388—431no—
1004#388—431no—
1005#388—431no—
1006#388—431no—
1007#388—431no—
1008#388—431no—
1009#388C2×D4311yescharacteristic, complemented
1010#388C2×D4311yescharacteristic, complemented
1011#387—431no—
1012#387—431no—
1013#387—431no—
1014#387—431no—
1015#387—431no—
1016#387—431no—
1017#387C2×D4311yescharacteristic, complemented
1018#387C2×D4311yescharacteristic, complemented
1019#386—431no—
1020#386—431no—
1021#386—431no—
1022#386—431no—
1023#386—431no—
1024#386—431no—
1025#386—431no—
1026#386—431no—
1027#386—431no—
1028#386—431no—
1029#386—431no—
1030#386—431no—
1031#386—431no—
1032#386—431no—
1033#386—431no—
1034#386—431no—
1035#386—431no—
1036#386—431no—
1037#386—431no—
1038#386—431no—
1039#386—431no—
1040#386—431no—
1041#386—431no—
1042#386—431no—
1043#386—431no—
1044#386—431no—
1045#386C2×D4311yescharacteristic
1046#386C2×D4311yescharacteristic, complemented
1047#385—431no—
1048#385—431no—
1049#385—431no—
1050#385—431no—
1051#385—431no—
1052#385—431no—
1053#385—431no—
1054#385C2×D4311yescharacteristic, complemented
1055#383—431no—
1056#382—431no—
1057#381—431no—
1058#381—431no—
1059#381—431no—
1060#380—431no—
1061#380—431no—
1062#380—431no—
1063#380—431no—
1064#380—431no—
1065#380—431no—
1066#379—431no—
1067#379—431no—
1068C4×C22⋊C4—431no—
1069C2×#95—431no—
1070C2×#95—431no—
1071C43#3679411yescharacteristic, complemented, Sylow
1072C25—431no—
1073C25—431no—
1074C22×D4—431no—
1075C22×D4—431no—
1076C22×D4—431no—
1077C22×D4—431no—
1078C22×D4—431no—
1079C22×D4—431no—
1080C22×D4—431no—
1081C22×D4—431no—
1082C22×D4—431no—
1083C22×D4—431no—
1084C22×D4—431no—
1085C22×D4—431no—
1086C22×D4—431no—
1087C22×D4—431no—
1088C22×D4—431no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—431no—
1093C22×D4—864no—
1094C22×D4—1722no—
1095C22×D4—1722no—
1096C22×D4C22×D4311yescharacteristic
1097C22×D4C22×D4311yescharacteristic
1098C22×D4C22×D4311yescharacteristic
1099C23×C4—431no—
1100C23×C4—431no—
1101C23×C4—431no—
1102C23×C4—431no—
1103C23×C4—431no—
1104C23×C4—431no—
1105C23×C4—431no—
1106C23×C4—431no—
1107C23×C4—431no—
1108C23×C4—431no—
1109C23×C4—431no—
1110C23×C4—1722no—
1111C23×C4—1722no—
1112C23×C4—1722no—
1113C23×C4C22×D4311yescharacteristic
1114#127—1722no—
1115#127—1722no—
1116#123—1722no—
1117#123—1722no—
1118#123—1722no—
1119#123—1722no—
1120#121—864no—
1121#121—1722no—
1122#121—1722no—
1123#121—1722no—
1124#121—1722no—
1125#121—1722no—
1126#121—1722no—
1127#121—1722no—
1128#121—1722no—
1129#120—1722no—
1130#120—1722no—
1131#120—1722no—
1132#120—1722no—
1133#120—1722no—
1134#120—1722no—
1135C4×D4—864no—
1136C4×D4—1722no—
1137C4×D4—1722no—
1138C2×C4⋊C4—431no—
1139C2×C4⋊C4—431no—
1140C2×C4⋊C4—431no—
1141C2×C4⋊C4—431no—
1142C2×C4⋊C4—431no—
1143C2×C4⋊C4—431no—
1144C2×C4⋊C4—431no—
1145C2×C4⋊C4—431no—
1146C2×C4⋊C4—431no—
1147C2×C4⋊C4—431no—
1148C2×C4⋊C4—431no—
1149C2×C4⋊C4—431no—
1150C2×C4⋊C4—431no—
1151C2×C4⋊C4—431no—
1152C2×C4⋊C4—431no—
1153C2×C4⋊C4C22×D4311yescharacteristic
1154C2×C4⋊C4C22×D4311yescharacteristic
1155C2×C4⋊C4C22×D4311yescharacteristic
1156C2×C4⋊C4C22×D4311yescharacteristic
1157C2×C4⋊C4C22×D4311yescharacteristic
1158C2×C22⋊C4—431no—
1159C2×C22⋊C4—431no—
1160C2×C22⋊C4—431no—
1161C2×C22⋊C4—431no—
1162C2×C22⋊C4—431no—
1163C2×C22⋊C4—431no—
1164C2×C22⋊C4—431no—
1165C2×C22⋊C4—431no—
1166C2×C22⋊C4—431no—
1167C2×C22⋊C4—431no—
1168C2×C22⋊C4—431no—
1169C2×C22⋊C4—431no—
1170C2×C22⋊C4—431no—
1171C2×C22⋊C4—431no—
1172C2×C22⋊C4—431no—
1173C2×C22⋊C4—431no—
1174C2×C22⋊C4—431no—
1175C2×C22⋊C4—431no—
1176C2×C22⋊C4—431no—
1177C2×C22⋊C4—431no—
1178C2×C22⋊C4—431no—
1179C2×C22⋊C4—431no—
1180C2×C22⋊C4—431no—
1181C2×C22⋊C4—431no—
1182C2×C22⋊C4—431no—
1183C2×C22⋊C4—431no—
1184C2×C22⋊C4—431no—
1185C2×C22⋊C4—431no—
1186C2×C22⋊C4—431no—
1187C2×C22⋊C4—431no—
1188C2×C22⋊C4—431no—
1189C2×C22⋊C4—431no—
1190C2×C22⋊C4—431no—
1191C2×C22⋊C4—431no—
1192C2×C22⋊C4—431no—
1193C2×C22⋊C4—431no—
1194C2×C22⋊C4—431no—
1195C2×C22⋊C4—431no—
1196C2×C22⋊C4—431no—
1197C2×C22⋊C4—431no—
1198C2×C22⋊C4—431no—
1199C2×C22⋊C4—431no—
1200C2×C22⋊C4—431no—
1201C2×C22⋊C4—431no—
1202C2×C22⋊C4—1722no—
1203C2×C22⋊C4—1722no—
1204C2×C22⋊C4—1722no—
1205C2×C22⋊C4C22×D4311yescharacteristic
1206C2×C22⋊C4C22×D4311yescharacteristic
1207C2×C22⋊C4C22×D4311yescharacteristic
1208C2×C22⋊C4C22×D4311yescharacteristic
1209C2×C22⋊C4C22×D4311yescharacteristic
1210C2×C22⋊C4C22×D4311yescharacteristic
1211C2×C22⋊C4C22×D4311yescharacteristic
1212C2×C22⋊C4C22×D4311yescharacteristic
1213C2×C22⋊C4C22×D4311yescharacteristic
1214C2×C22⋊C4C22×D4311yescharacteristic
1215C2×C22⋊C4C22×D4311yescharacteristic
1216C2×C22⋊C4C22×D4311yescharacteristic
1217C2×C22⋊C4C22×D4311yescharacteristic
1218C2×C22⋊C4C22×D4311yescharacteristic
1219C2×C42—431no—
1220C2×C42—431no—
1221C2×C42—431no—
1222C2×C42C22×D4311yescharacteristic
1223C2×C42C22×D4311yescharacteristic
1224#95—431no—
1225#95—431no—
1226#95—431no—
1227#95—431no—
1228#95—431no—
1229#95—431no—
1230#95—431no—
1231#95—431no—
1232#95—431no—
1233#95—431no—
1234#95—431no—
1235#95—431no—
1236#95—431no—
1237#95—431no—
1238#95—431no—
1239#95—431no—
1240#95—431no—
1241#95—431no—
1242#95—431no—
1243#95—431no—
1244#95—431no—
1245#95—431no—
1246#95—431no—
1247#95—431no—
1248#95—431no—
1249#95—431no—
1250#95C22×D4311yescharacteristic
1251#95C22×D4311yescharacteristic
1252#95C22×D4311yescharacteristic
1253#95C22×D4311yescharacteristic
1254#95C22×D4311yescharacteristic
1255#95C22×D4311yescharacteristic
1256#95C22×D4311yescharacteristic
1257#95C22×D4311yescharacteristic
1258#95C22×D4311yescharacteristic
1259#95C22×D4311yescharacteristic
1260C24—431no—
1261C24—431no—
1262C24—431no—
1263C24—431no—
1264C24—431no—
1265C24—862no—
1266C24—862no—
1267C24—862no—
1268C24—862no—
1269C24—862no—
1270C24—862no—
1271C24—862no—
1272C24—862no—
1273C24—1721no—
1274C24—1721no—
1275C24—1721no—
1276C24—1721no—
1277C24—1721no—
1278C24—1721no—
1279C24C23×D4311yescharacteristic
1280C24C23×D4311yescharacteristic
1281C24C23×D4311yescharacteristic
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—862no—
1292C2×D4—862no—
1293C2×D4—862no—
1294C2×D4—862no—
1295C2×D4—862no—
1296C2×D4—862no—
1297C2×D4—862no—
1298C2×D4—862no—
1299C2×D4—862no—
1300C2×D4—862no—
1301C2×D4—862no—
1302C2×D4—862no—
1303C2×D4—862no—
1304C2×D4—862no—
1305C2×D4—862no—
1306C2×D4—862no—
1307C2×D4—862no—
1308C2×D4—862no—
1309C2×D4—862no—
1310C2×D4—862no—
1311C2×D4—862no—
1312C2×D4—862no—
1313C2×D4—1721no—
1314C2×D4—1721no—
1315C2×D4—1721no—
1316C2×D4—1721no—
1317C2×D4—1721no—
1318C2×D4—1721no—
1319C2×D4—1721no—
1320C2×D4—1721no—
1321C2×D4—1721no—
1322C2×D4—1721no—
1323C2×D4—1721no—
1324C2×D4—1721no—
1325C2×D4—1721no—
1326C2×D4—1721no—
1327C2×D4—1721no—
1328C2×D4—1721no—
1329C2×D4—1721no—
1330C2×D4—1721no—
1331C2×D4—1721no—
1332C2×D4—1721no—
1333C2×D4—1721no—
1334C2×D4—1721no—
1335C2×D4—1721no—
1336C2×D4—1721no—
1337C2×D4—1721no—
1338C2×D4—1721no—
1339C2×D4—1721no—
1340C2×D4—1721no—
1341C2×D4—1721no—
1342C2×D4—1721no—
1343C2×D4—1721no—
1344C2×D4—1721no—
1345C2×D4—1721no—
1346C2×D4—1721no—
1347C2×D4—1721no—
1348C2×D4—17216no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—431no—
1353C22×C4—431no—
1354C22×C4—434no—
1355C22×C4—431no—
1356C22×C4—431no—
1357C22×C4—431no—
1358C22×C4—431no—
1359C22×C4—431no—
1360C22×C4—431no—
1361C22×C4—431no—
1362C22×C4—431no—
1363C22×C4—431no—
1364C22×C4—862no—
1365C22×C4—862no—
1366C22×C4—862no—
1367C22×C4—862no—
1368C22×C4—862no—
1369C22×C4—862no—
1370C22×C4—862no—
1371C22×C4—862no—
1372C22×C4—862no—
1373C22×C4—862no—
1374C22×C4—1721no—
1375C22×C4—1721no—
1376C22×C4—1721no—
1377C22×C4—1721no—
1378C22×C4—1721no—
1379C22×C4—1721no—
1380C22×C4—1721no—
1381C22×C4—1721no—
1382C22×C4—1721no—
1383C22×C4—1721no—
1384C22×C4—1721no—
1385C22×C4—1721no—
1386C22×C4—1721no—
1387C22×C4—1721no—
1388C22×C4—1721no—
1389C22×C4—1721no—
1390C22×C4—1721no—
1391C22×C4—1721no—
1392C22×C4—17216no—
1393C22×C4—1721no—
1394C22×C4—1721no—
1395C22×C4—1721no—
1396C22×C4—1721no—
1397C22×C4C23×D4311yescharacteristic
1398C22×C4C23×D4311yescharacteristic
1399C22×C4C23×D4311yescharacteristic
1400C22×C4C23×D4311yescharacteristic
1401C22×C4C23×D4311yescharacteristic
1402C22×C4C23×D4311yescharacteristic
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405C22×C4C23×D4311yescharacteristic
1406C22×C4C23×D4311yescharacteristic
1407C22×C4C23×D4311yescharacteristic
1408C22×C4C23×D4311yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—862no—
1415C4⋊C4—862no—
1416C4⋊C4—862no—
1417C4⋊C4—1721no—
1418C4⋊C4—1721no—
1419C4⋊C4—1721no—
1420C4⋊C4—1721no—
1421C4⋊C4—1721no—
1422C4⋊C4—1721no—
1423C4⋊C4—1721no—
1424C4⋊C4—1721no—
1425C4⋊C4—1721no—
1426C4⋊C4—1721no—
1427C4⋊C4—1721no—
1428C4⋊C4—1721no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—862no—
1444C22⋊C4—862no—
1445C22⋊C4—862no—
1446C22⋊C4—862no—
1447C22⋊C4—862no—
1448C22⋊C4—862no—
1449C22⋊C4—862no—
1450C22⋊C4—862no—
1451C22⋊C4—862no—
1452C22⋊C4—862no—
1453C22⋊C4—862no—
1454C22⋊C4—862no—
1455C22⋊C4—862no—
1456C22⋊C4—1721no—
1457C22⋊C4—1721no—
1458C22⋊C4—1721no—
1459C22⋊C4—1721no—
1460C22⋊C4—1721no—
1461C22⋊C4—1721no—
1462C22⋊C4—1721no—
1463C22⋊C4—1721no—
1464C22⋊C4—1721no—
1465C22⋊C4—1721no—
1466C22⋊C4—1721no—
1467C22⋊C4—1721no—
1468C22⋊C4—1721no—
1469C22⋊C4—1721no—
1470C22⋊C4—1721no—
1471C22⋊C4—1721no—
1472C22⋊C4—1721no—
1473C22⋊C4—1721no—
1474C22⋊C4—1721no—
1475C22⋊C4—1721no—
1476C22⋊C4—1721no—
1477C22⋊C4—1721no—
1478C22⋊C4—1721no—
1479C22⋊C4—1721no—
1480C22⋊C4—1721no—
1481C22⋊C4—1721no—
1482C22⋊C4—1721no—
1483C22⋊C4—1721no—
1484C22⋊C4—1721no—
1485C22⋊C4—1721no—
1486C22⋊C4—1721no—
1487C42—41no—
1488C42—41no—
1489C42—862no—
1490C42—1721no—
1491C42—1721no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—432no—
1513C23—432no—
1514C23—432no—
1515C23—432no—
1516C23—868no—
1517C23—861no—
1518C23—861no—
1519C23—861no—
1520C23—861no—
1521C23—861no—
1522C23—861no—
1523C23—861no—
1524C23—861no—
1525C23—861no—
1526C23—861no—
1527C23—861no—
1528C23—861no—
1529C23—861no—
1530C23—861no—
1531C23—861no—
1532C23—861no—
1533C23—861no—
1534C23—861no—
1535C23—861no—
1536C23—861no—
1537C23—861no—
1538C23—861no—
1539C23—861no—
1540C23—861no—
1541C23—861no—
1542C23—861no—
1543C23—861no—
1544C23—861no—
1545C23—861no—
1546C23—861no—
1547C23—861no—
1548C23—3442no—
1549C23—3442no—
1550C23—3442no—
1551C23—3442no—
1552C23—1724no—
1553C23—1724no—
1554C23—1724no—
1555C23—1724no—
1556C23—1724no—
1557C23—1724no—
1558C23—1724no—
1559C23—1724no—
1560C23—1724no—
1561C23#1306337112yes—
1562C23C24×D4311yescharacteristic
1563D4—44no—
1564D4—82no—
1565D4—82no—
1566D4—3442no—
1567D4—3442no—
1568D4—3442no—
1569D4—3442no—
1570D4—3442no—
1571D4—3442no—
1572D4—3442no—
1573D4—3442no—
1574D4—3442no—
1575D4—3442no—
1576D4—3442no—
1577D4—3442no—
1578D4—3442no—
1579D4—1724no—
1580D4—1724no—
1581D4—1724no—
1582D4—1724no—
1583D4—1724no—
1584D4—1724no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—44no—
1621C2×C4—432no—
1622C2×C4—432no—
1623C2×C4—861no—
1624C2×C4—861no—
1625C2×C4—861no—
1626C2×C4—861no—
1627C2×C4—861no—
1628C2×C4—861no—
1629C2×C4—861no—
1630C2×C4—861no—
1631C2×C4—861no—
1632C2×C4—861no—
1633C2×C4—861no—
1634C2×C4—861no—
1635C2×C4—861no—
1636C2×C4—861no—
1637C2×C4—861no—
1638C2×C4—861no—
1639C2×C4—861no—
1640C2×C4—861no—
1641C2×C4—861no—
1642C2×C4—861no—
1643C2×C4—861no—
1644C2×C4—861no—
1645C2×C4—861no—
1646C2×C4—861no—
1647C2×C4—861no—
1648C2×C4—861no—
1649C2×C4—861no—
1650C2×C4—861no—
1651C2×C4—861no—
1652C2×C4—861no—
1653C2×C4—861no—
1654C2×C4—3442no—
1655C2×C4—3442no—
1656C2×C4—3442no—
1657C2×C4—3442no—
1658C2×C4—3442no—
1659C2×C4—1724no—
1660C2×C4—1724no—
1661C2×C4—1724no—
1662C2×C4—1724no—
1663C2×C4—1724no—
1664C2×C4—1724no—
1665C2×C4#41×D4312yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—434no—
1688C22—862no—
1689C22—862no—
1690C22—862no—
1691C22—862no—
1692C22—862no—
1693C22—862no—
1694C22—862no—
1695C22—862no—
1696C22—862no—
1697C22—3448no—
1698C22—17216no—
1699C22—1721no—
1700C22—1721no—
1701C22—1721no—
1702C22—1721no—
1703C22—1721no—
1704C22—1721no—
1705C22—1721no—
1706C22—1721no—
1707C22—1721no—
1708C22—1721no—
1709C22—1721no—
1710C22—1721no—
1711C22—1721no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—1721no—
1723C22—1721no—
1724C22C2×#41×D4311yescharacteristic
1725C22H(5,𝔽2)×D4311yescharacteristic
1726C22H(5,𝔽2)×D4311yescharacteristic
1727C22H(5,𝔽2)×D4311yescharacteristic
1728C22H(5,𝔽2)×D4311yescharacteristic
1729C22C2×#1306337111yescharacteristic
1730C22#1458373511yescharacteristic
1731C4—22no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—862no—
1744C4—862no—
1745C4—1721no—
1746C4—1721no—
1747C4—1721no—
1748C4—1721no—
1749C4—1721no—
1750C4—1721no—
1751C4—1721no—
1752C4—1721no—
1753C4—1721no—
1754C2—42no—
1755C2—81no—
1756C2—81no—
1757C2—864no—
1758C2—3441no—
1759C2—3441no—
1760C2—3441no—
1761C2—1722no—
1762C2#540×D4311yescharacteristic
1763C2#1914827911yescharacteristic
1764C2#1914844311yescharacteristic
1765C2#1914874811yescharacteristic
1766C2#1914877211yescharacteristic
1767C2#1914878411yescharacteristic
1768C2#1914882711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2797C2
hypercenter#2797D43
hypocenterC43#36794
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2797

Complements

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

NH ≅ G/Ntype
1. #19142890C2semidirect
2. #19142876C2semidirect
3. #19142308C2semidirect
4. #19141912C2semidirect
5. #19141873C2semidirect
6. #19141856C2semidirect
7. #19141817C2semidirect
8. #19141696C2semidirect
9. #19141327C2semidirect
10. #19141323C2semidirect
11. #19141276C2semidirect
12. #19141235C2semidirect
13. #19141183C2semidirect
14. #19141029C2semidirect
15. #19140862C2semidirect
16. #19140860C2semidirect
17. #19140824C2semidirect
18. #19140369C2semidirect
19. #19140334C2semidirect
20. #19139817C2semidirect
21. #19139552C2semidirect
22. #19138231C2semidirect
23. #19138138C2semidirect
24. #19138124C2semidirect
25. #19138062C2semidirect
26. #19138058C2semidirect
27. #19137944C2semidirect
28. #19137294C2semidirect
29. #19137225C2semidirect
30. #386×D43C2semidirect
31. C43×#2797C2semidirect
36. C2×#13063310C22semidirect
37. C2×#13063310C22semidirect
38. C2×#13063307C22semidirect
39. C2×#13063307C22semidirect
43. C2×#13063298C22semidirect
44. C2×#13063298C22semidirect
47. C2×#13063297C22semidirect
48. C2×#13063296C22semidirect
61. #14582839C22semidirect
62. #14582837C22semidirect
63. #14582836C22semidirect
64. #14582834C22semidirect
65. #14582833C22semidirect
66. #14582830C22semidirect
67. #14582830C22semidirect
68. #14582828C22semidirect
69. #14582828C22semidirect
70. #14582827C22semidirect
71. #14582827C22semidirect
72. #14582826C22semidirect
73. #14582824C22semidirect
74. #14582822C22semidirect
75. #14582821C22semidirect
77. #14582817C22semidirect
78. #14582817C22semidirect
79. #14582817C22semidirect
80. #14582816C22semidirect
81. #14582816C22semidirect
82. #14582816C22semidirect
83. #14582816C22semidirect
84. #14582815C22semidirect
85. #14582815C22semidirect
86. #14582815C22semidirect
87. #14582815C22semidirect
88. #14582815C22semidirect
89. #14582814C22semidirect
90. #14582814C22semidirect
91. #14582814C22semidirect
98. #14582808C22semidirect
99. #14582808C22semidirect
100. #14582808C22semidirect
101. #14582807C22semidirect
102. #14582807C22semidirect
106. #14582799C22semidirect
107. #14582793C22semidirect
108. #14582792C22semidirect
109. #14582791C22semidirect
110. #14582790C22semidirect
111. #14582790C22semidirect
112. #14582790C22semidirect
113. #14582788C22semidirect
114. #14582788C22semidirect
115. #14582788C22semidirect
116. #14582787C22semidirect
117. #14582786C22semidirect
118. #14582786C22semidirect
119. #14582785C22semidirect
120. #14582783C22semidirect
121. #14582783C22semidirect
122. #14582781C22semidirect
125. #14582778C22semidirect
126. #14582778C22semidirect
133. #14582777C22semidirect
134. #14582777C22semidirect
135. #14582777C22semidirect
136. #14582777C22semidirect
137. #14582777C22semidirect
138. #14582777C22semidirect
140. #14582776C22semidirect
141. #14582776C22semidirect
142. #14582776C22semidirect
147. #14582775C22semidirect
148. #14582775C22semidirect
151. #14582773C22semidirect
152. #14582771C22semidirect
155. #14582770C22semidirect
156. #14582766C22semidirect
157. #14582764C22semidirect
158. #14582761C22semidirect
159. #14582761C22semidirect
160. #14582760C22semidirect
163. #14582758C22semidirect
164. #14582757C22semidirect
165. #14582757C22semidirect
172. C43×#397C22semidirect
173. C43×#397C22semidirect
174. C43×#397C22semidirect
175. C43×#394C22semidirect
176. C43×#394C22semidirect
179. C43×#390C22semidirect
180. C43×#388C22semidirect
181. C43×#388C22semidirect
182. C43×#387C22semidirect
183. C43×#387C22semidirect
185. C43×#386C22semidirect
186. C43×#385C22semidirect
872. #2797D43semidirect
958. #397C2×D43semidirect
959. #397C2×D43semidirect
960. #397C2×D43semidirect
980. #394C2×D43semidirect
981. #394C2×D43semidirect
998. #390C2×D43semidirect
1009. #388C2×D43semidirect
1010. #388C2×D43semidirect
1017. #387C2×D43semidirect
1018. #387C2×D43semidirect
1046. #386C2×D43semidirect
1054. #385C2×D43semidirect
1071. C43#36794semidirect

Maximal subgroups

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

subgroupindex
#191428902
#191428762
#191423082
#191419122
#191418732
#191418562
#191418172
#191416962
#191413272
#191413232
#191412762
#191412352
#191411832
#191410292
#191408622
#191408602
#191408242
#191403692
#191403342
#191398172
#191395522
#191382312
#191381382
#191381242
#191380622
#191380582
#191379442
#191372942
#191372252
#386×D432
C43×#27972
#3679443