Finite Group Databasebeta

← #25305140

Subgroups — #25305140

Order 11008.

1540 conjugacy classes of subgroups.

The subgroup lattice has 1364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142915C211yesmaximal, characteristic, complemented
2#19142900C211yesmaximal, characteristic, complemented
3#19142406C211yesmaximal, characteristic, complemented
4#19142364C211yesmaximal, characteristic, complemented
5#19142248C211yesmaximal, characteristic, complemented
6#19142183C211yesmaximal, characteristic, complemented
7#19142028C211yesmaximal, characteristic, complemented
8#19142028C211yesmaximal, characteristic, complemented
9#19141816C211yesmaximal, characteristic
10#19141775C211yesmaximal, characteristic, complemented
11#19141753C211yesmaximal, characteristic, complemented
12#19141741C211yesmaximal, characteristic, complemented
13#19141736C211yesmaximal, characteristic, complemented
14#19141675C211yesmaximal, characteristic, complemented
15#19141454C211yesmaximal, characteristic, complemented
16#19141300C211yesmaximal, characteristic, complemented
17#19141100C211yesmaximal, characteristic
18#19140691C211yesmaximal, characteristic, complemented
19#19140668C211yesmaximal, characteristic, complemented
20#19140210C211yesmaximal, characteristic
21#19140022C211yesmaximal, characteristic, complemented
22#19139947C211yesmaximal, characteristic, complemented
23#19139892C211yesmaximal, characteristic, complemented
24#19139476C211yesmaximal, characteristic, complemented
25#19139420C211yesmaximal, characteristic, complemented
26#19138301C211yesmaximal, characteristic, complemented
27#19137998C211yesmaximal, characteristic, complemented
28#19137382C211yesmaximal, characteristic, complemented
29#19137197C211yesmaximal, characteristic, complemented
30#19137037C211yesmaximal, characteristic, complemented
31C43×#2694C211yesmaximal, characteristic, complemented
32C2×#13063315C2211yescharacteristic
33C2×#13063307C2211yescharacteristic
34C2×#13063306C2211yescharacteristic
35C2×(C22⋊D43)⋊C4C2211yescharacteristic
36C2×#13063281C2211yescharacteristic
37C22×Dic43⋊C4C2211yescharacteristic
38C2×C42×D43C2211yescharacteristic
39C43⋊#401C2211yescharacteristic
40C43⋊#401C2211yescharacteristic
41#14582841C2211yescharacteristic
42#14582841C2211yescharacteristic
43#14582841C2211yescharacteristic
44#14582841C2211yescharacteristic
45#14582840C2211yescharacteristic
46#14582839C2211yescharacteristic
47#14582839C2211yescharacteristic
48#14582838C2211yescharacteristic
49#14582838C2211yescharacteristic
50#14582838C2211yescharacteristic
51#14582838C2211yescharacteristic
52#14582837C2211yescharacteristic
53#14582837C2211yescharacteristic
54#14582835C2211yescharacteristic
55#14582832C2211yescharacteristic
56#14582831C2211yescharacteristic
57#14582830C2211yescharacteristic
58#14582830C2211yescharacteristic
59#14582830C2211yescharacteristic
60#14582830C2211yescharacteristic
61#14582830C2211yescharacteristic
62#14582829C2211yescharacteristic
63#14582829C2211yescharacteristic
64#14582827C2211yescharacteristic
65#14582827C2211yescharacteristic
66#14582827C2211yescharacteristic
67#14582827C2211yescharacteristic
68#14582825C2211yescharacteristic
69#14582823C2211yescharacteristic
70#14582823C2211yescharacteristic
71#14582822C2211yescharacteristic
72#14582822C2211yescharacteristic
73#14582822C2211yescharacteristic
74#14582822C2211yescharacteristic
75#14582822C2211yescharacteristic
76#14582821C2211yescharacteristic
77#14582821C2211yescharacteristic
78#14582815C2211yescharacteristic
79#14582815C2211yescharacteristic
80#14582807C2211yescharacteristic
81#14582799C2211yescharacteristic
82#14582796C2211yescharacteristic
83#14582796C2211yescharacteristic
84#14582795C2211yescharacteristic
85#14582795C2211yescharacteristic
86#14582795C2211yescharacteristic
87#14582795C2211yescharacteristic
88#14582794C2211yescharacteristic
89#14582794C2211yescharacteristic
90#14582794C2211yescharacteristic
91#14582793C2211yescharacteristic
92#14582792C2211yescharacteristic
93#14582792C2211yescharacteristic
94#14582792C2211yescharacteristic
95#14582790C2211yescharacteristic
96#14582789C2211yescharacteristic
97#14582788C2211yescharacteristic
98#14582788C2211yescharacteristic
99#14582787C2211yescharacteristic
100#14582787C2211yescharacteristic
101#14582787C2211yescharacteristic
102#14582787C2211yescharacteristic
103#14582787C2211yescharacteristic
104#14582787C2211yescharacteristic
105#14582786C2211yescharacteristic
106#14582786C2211yescharacteristic
107#14582786C2211yescharacteristic
108#14582786C2211yescharacteristic
109#14582786C2211yescharacteristic
110#14582785C2211yescharacteristic
111#14582785C2211yescharacteristic
112#14582785C2211yescharacteristic
113#14582785C2211yescharacteristic
114#14582784C2211yescharacteristic
115#14582784C2211yescharacteristic
116#14582783C2211yescharacteristic
117#14582783C2211yescharacteristic
118#14582783C2211yescharacteristic
119#14582781C2211yescharacteristic
120#14582781C2211yescharacteristic
121#14582781C2211yescharacteristic
122#14582781C2211yescharacteristic
123#14582780C2211yescharacteristic
124#14582780C2211yescharacteristic
125#14582780C2211yescharacteristic
126#14582780C2211yescharacteristic
127#14582780C2211yescharacteristic
128#14582780C2211yescharacteristic
129#14582780C2211yescharacteristic
130#14582779C2211yescharacteristic
131#14582779C2211yescharacteristic
132#14582778C2211yescharacteristic
133#14582776C2211yescharacteristic
134#14582776C2211yescharacteristic
135#14582775C2211yescharacteristic
136#14582775C2211yescharacteristic
137#14582775C2211yescharacteristic
138#14582775C2211yescharacteristic
139#14582774C2211yescharacteristic
140#14582774C2211yescharacteristic
141#14582773C2211yescharacteristic
142#14582773C2211yescharacteristic
143#14582771C2211yescharacteristic
144#14582771C2211yescharacteristic
145#14582770C2211yescharacteristic
146#14582770C2211yescharacteristic
147#14582770C2211yescharacteristic
148#14582770C2211yescharacteristic
149#14582770C2211yescharacteristic
150#14582770C2211yescharacteristic
151#14582768C2211yescharacteristic
152#14582767C2211yescharacteristic
153#14582765C2211yescharacteristic
154#14582764C2211yescharacteristic
155#14582762C2211yescharacteristic
156#14582761C2211yescharacteristic
157#14582760C2211yescharacteristic
158#14582760C2211yescharacteristic
159#14582760C2211yescharacteristic
160#14582759C2211yescharacteristic
161#14582757C2211yescharacteristic
162#14582757C2211yescharacteristic
163#14582756C2211yescharacteristic
164#14582756C2211yescharacteristic
165C4⋊C4×Dic43C2211yescharacteristic
166C4×Dic43⋊C4C2211yescharacteristic
167C22⋊C4×Dic43C2211yescharacteristic
168C22⋊C4×Dic43C2211yescharacteristic
169C22⋊C4×Dic43C2211yescharacteristic
170#14582746C2211yescharacteristic
171#14582744C2211yescharacteristic
172C2×#125×C43C2211yescharacteristic
173C2×#123×C43C2211yescharacteristic
174C43×#399C2211yescharacteristic
175C43×#399C2211yescharacteristic
176C43×#398C2211yescharacteristic
177C43×#397C2211yescharacteristic
178C43×#396C2211yescharacteristic
179C43×#394C2211yescharacteristic
180C43×#390C2211yescharacteristic
181C43×#389C2211yescharacteristic
182C43×#388C2211yescharacteristic
183C43×#388C2211yescharacteristic
184C43×#387C2211yescharacteristic
185C43×#385C2211yescharacteristic
186C43×#380C2211yescharacteristic
187C22×C22⋊D43C2311yescharacteristic
188C22×C22⋊D43C2311yescharacteristic
189C23×Dic43C2311yescharacteristic
190C23×Dic43C2311yescharacteristic
191C23×Dic43C2311yescharacteristic
192C22×C4×D43C2311yescharacteristic
193C22×C4×D43C2311yescharacteristic
194C22×C4×D43C2311yescharacteristic
195#13063315—42no—
196#13063307—42no—
197#13063306—24no—
198(C22⋊D43)⋊C4—24no—
199#13063281—42no—
200C2×C4⋊Dic43C2311yescharacteristic
201C2×C4⋊Dic43C2311yescharacteristic
202C2×C4⋊Dic43C2311yescharacteristic
203C2×C4⋊Dic43C2311yescharacteristic
204C2×C4⋊Dic43C2311yescharacteristic
205C2×C4⋊Dic43C2311yescharacteristic
206C2×C4⋊Dic43C2311yescharacteristic
207C2×C4⋊Dic43C2311yescharacteristic
208C2×C4⋊Dic43C2311yescharacteristic
209C2×Dic43⋊C4—24no—
210C2×Dic43⋊C4C2311yescharacteristic
211C2×Dic43⋊C4C2311yescharacteristic
212C2×Dic43⋊C4C2311yescharacteristic
213C2×Dic43⋊C4C2311yescharacteristic
214C2×Dic43⋊C4C2311yescharacteristic
215C2×Dic43⋊C4C2311yescharacteristic
216C2×Dic43⋊C4C2311yescharacteristic
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×C22⋊Dic43C2311yescharacteristic
233C2×C22⋊Dic43C2311yescharacteristic
234C2×C22⋊Dic43C2311yescharacteristic
235C2×C22⋊Dic43C2311yescharacteristic
236C2×C22⋊Dic43C2311yescharacteristic
237C2×C22⋊Dic43C2311yescharacteristic
238C2×C22⋊Dic43C2311yescharacteristic
239C2×C22⋊Dic43C2311yescharacteristic
240C2×C22⋊Dic43C2311yescharacteristic
241C2×C22⋊Dic43C2311yescharacteristic
242C2×C22⋊Dic43C2311yescharacteristic
243C2×(C2×D43)⋊C4C2311yescharacteristic
244C2×(C2×D43)⋊C4C2311yescharacteristic
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×C4×Dic43C2311yescharacteristic
254C2×C4×Dic43C2311yescharacteristic
255C2×C4×Dic43C2311yescharacteristic
256C2×C4×Dic43C2311yescharacteristic
257C2×C4×Dic43C2311yescharacteristic
258C2×C4×Dic43C2311yescharacteristic
259C2×C4×Dic43C2311yescharacteristic
260C2×C4×Dic43C2311yescharacteristic
261C2×C4×Dic43C2311yescharacteristic
262C2×C4×Dic43C2311yescharacteristic
263C42×D43—42no—
264C43⋊#95C2311yescharacteristic
265C43⋊#95C2311yescharacteristic
266C43⋊#95C2311yescharacteristic
267C43⋊#95C2311yescharacteristic
268C43⋊#95C2311yescharacteristic
269C43⋊#95C2311yescharacteristic
270C43⋊#95C2311yescharacteristic
271C43⋊#95C2311yescharacteristic
272C43⋊#95C2311yescharacteristic
273C43⋊#95C2311yescharacteristic
274C43⋊#95C2311yescharacteristic
275C43⋊#95C2311yescharacteristic
276C43⋊#95C2311yescharacteristic
277C43⋊#95C2311yescharacteristic
278C43⋊#95C2311yescharacteristic
279C43⋊#95C2311yescharacteristic
280C43⋊#95C2311yescharacteristic
281C43⋊#95C2311yescharacteristic
282C43⋊#95C2311yescharacteristic
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
314C22×D4×C43C2311yescharacteristic
315C23×C4×C43C2311yescharacteristic
316#125×C43—42no—
317#123×C43—42no—
318C2×C4⋊C4×C43C2311yescharacteristic
319C2×C4⋊C4×C43C2311yescharacteristic
320C2×C4⋊C4×C43C2311yescharacteristic
321C2×C4⋊C4×C43C2311yescharacteristic
322C2×C4⋊C4×C43C2311yescharacteristic
323C2×C4⋊C4×C43C2311yescharacteristic
324C2×C4⋊C4×C43C2311yescharacteristic
325C2×C4⋊C4×C43C2311yescharacteristic
326C2×C4⋊C4×C43C2311yescharacteristic
327C2×C4⋊C4×C43C2311yescharacteristic
328C2×C4⋊C4×C43C2311yescharacteristic
329C2×C4⋊C4×C43C2311yescharacteristic
330C2×C22⋊C4×C43C2311yescharacteristic
331C2×C22⋊C4×C43C2311yescharacteristic
332C2×C22⋊C4×C43C2311yescharacteristic
333C2×C22⋊C4×C43C2311yescharacteristic
334C2×C22⋊C4×C43C2311yescharacteristic
335C2×C22⋊C4×C43C2311yescharacteristic
336C2×C22⋊C4×C43C2311yescharacteristic
337C2×C22⋊C4×C43C2311yescharacteristic
338C2×C22⋊C4×C43C2311yescharacteristic
339C2×C22⋊C4×C43C2311yescharacteristic
340C2×C22⋊C4×C43C2311yescharacteristic
341C2×C42×C43C2311yescharacteristic
342C2×C42×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
351C24×C43C2411yescharacteristic
352C24×C43C2411yescharacteristic
353C23×D43C2411yescharacteristic
354C2×D4×C43—22no—
355C2×D4×C43—41no—
356C2×D4×C43—41no—
357C22×C4×C43—22no—
358C22×C4×C43—41no—
359C22×C4×C43—41no—
360C22×C4×C43C2411yescharacteristic
361C22×C4×C43C2411yescharacteristic
362C22×C4×C43C2411yescharacteristic
363C22×C4×C43C2411yescharacteristic
364C22×C4×C43C2411yescharacteristic
365C22×C4×C43C2411yescharacteristic
366C22×C4×C43C2411yescharacteristic
367C22×C4×C43C2411yescharacteristic
368C22×C4×C43C2411yescharacteristic
369C22×C4×C43C2411yescharacteristic
370C22×C4×C43C2411yescharacteristic
371C22×C4×C43C2411yescharacteristic
372C22×C4×C43C2411yescharacteristic
373C2×C22⋊D43—22no—
374C2×C22⋊D43—22no—
375C2×C22⋊D43—22no—
376C2×C22⋊D43—41no—
377C2×C22⋊D43—41no—
378C2×C22⋊D43—41no—
379C22×Dic43—22no—
380C22×Dic43—41no—
381C22×Dic43—41no—
382C22×Dic43—41no—
383C22×Dic43—41no—
384C22×Dic43—41no—
385C22×Dic43—41no—
386C22×Dic43—41no—
387C22×Dic43#4114yes—
388C22×Dic43C2411yescharacteristic
389C22×Dic43C2411yescharacteristic
390C22×Dic43C2411yescharacteristic
391C22×Dic43C2411yescharacteristic
392C22×Dic43C2411yescharacteristic
393C22×Dic43C2411yescharacteristic
394C22×Dic43C2411yescharacteristic
395C22×Dic43C2411yescharacteristic
396C22×Dic43C2411yescharacteristic
397C22×Dic43C2411yescharacteristic
398C22×Dic43C2411yescharacteristic
399C22×Dic43C2411yescharacteristic
400C22×Dic43C2411yescharacteristic
401C22×Dic43C2411yescharacteristic
402C22×Dic43C2411yescharacteristic
403C2×C4×D43—22no—
404C2×C4×D43—22no—
405C2×C4×D43—22no—
406C2×C4×D43—41no—
407C2×C4×D43—41no—
408C2×C4×D43—41no—
409C2×C4×D43—41no—
410C2×C4×D43—41no—
411C2×C4×D43—41no—
412C4⋊C4×C43—22no—
413C4⋊C4×C43—22no—
414C4⋊C4×C43—41no—
415C4⋊C4×C43—41no—
416C4⋊C4×C43—41no—
417C4⋊C4×C43—41no—
418C4⋊C4×C43—41no—
419C4⋊C4×C43—41no—
420C4⋊C4×C43—41no—
421C4⋊C4×C43—41no—
422C4⋊C4×C43—41no—
423C4⋊C4×C43—41no—
424C22⋊C4×C43—22no—
425C22⋊C4×C43—22no—
426C22⋊C4×C43—22no—
427C22⋊C4×C43—41no—
428C22⋊C4×C43—41no—
429C22⋊C4×C43—41no—
430C22⋊C4×C43—41no—
431C22⋊C4×C43—41no—
432C22⋊C4×C43—41no—
433C22⋊C4×C43—41no—
434C22⋊C4×C43—41no—
435C42×C43—22no—
436C42×C43—41no—
437C22⋊Dic43—22no—
438C22⋊Dic43—22no—
439C22⋊Dic43—22no—
440C22⋊Dic43—41no—
441C22⋊Dic43—41no—
442C22⋊Dic43—41no—
443C22⋊Dic43—41no—
444C22⋊Dic43—41no—
445C22⋊Dic43—41no—
446C22⋊Dic43—41no—
447C22⋊Dic43—41no—
448(C2×D43)⋊C4—22no—
449(C2×D43)⋊C4—22no—
450(C2×D43)⋊C4—22no—
451(C2×D43)⋊C4—41no—
452(C2×D43)⋊C4—41no—
453(C2×D43)⋊C4—41no—
454(C2×D43)⋊C4—41no—
455(C2×D43)⋊C4—41no—
456(C2×D43)⋊C4—41no—
457(C2×D43)⋊C4—41no—
458C4⋊Dic43—41no—
459C4⋊Dic43—41no—
460C4⋊Dic43—41no—
461C4⋊Dic43—41no—
462C4⋊Dic43—41no—
463C4⋊Dic43—41no—
464C4⋊Dic43—41no—
465C4⋊Dic43—41no—
466C4⋊Dic43—41no—
467Dic43⋊C4—22no—
468Dic43⋊C4—22no—
469Dic43⋊C4—22no—
470Dic43⋊C4—22no—
471Dic43⋊C4—22no—
472Dic43⋊C4—22no—
473Dic43⋊C4—22no—
474Dic43⋊C4—22no—
475Dic43⋊C4—22no—
476Dic43⋊C4—41no—
477Dic43⋊C4—41no—
478Dic43⋊C4—41no—
479Dic43⋊C4—41no—
480Dic43⋊C4—41no—
481Dic43⋊C4—41no—
482Dic43⋊C4—41no—
483Dic43⋊C4—41no—
484Dic43⋊C4—41no—
485Dic43⋊C4—41no—
486Dic43⋊C4—41no—
487Dic43⋊C4—41no—
488Dic43⋊C4—41no—
489C4×Dic43—22no—
490C4×Dic43—22no—
491C4×Dic43—41no—
492C4×Dic43—41no—
493C4×Dic43—41no—
494C4×Dic43—41no—
495C4×Dic43—41no—
496C4×Dic43—41no—
497C4×Dic43—41no—
498C4×Dic43—41no—
499C23×C43—21no—
500C23×C43—21no—
501C23×C43—21no—
502C23×C43—21no—
503C23×C43—21no—
504C23×C43—21no—
505C23×C43—21no—
506C23×C43—21no—
507C23×C43—21no—
508C23×C43—21no—
509C23×C43—21no—
510C23×C43—21no—
511C23×C43—21no—
512C23×C43C2×#4112yes—
513C23×C43C2511yescharacteristic
514C22×D43—21no—
515C22×D43—21no—
516C22×D43—21no—
517C22×D43—21no—
518C22×D43—21no—
519C22×D43—21no—
520C22×D432−1+412yes—
521D4×C43—82no—
522C2×C4×C43—21no—
523C2×C4×C43—21no—
524C2×C4×C43—21no—
525C2×C4×C43—21no—
526C2×C4×C43—21no—
527C2×C4×C43—21no—
528C2×C4×C43—21no—
529C2×C4×C43—21no—
530C2×C4×C43—21no—
531C2×C4×C43—21no—
532C2×C4×C43—21no—
533C2×C4×C43—21no—
534C2×C4×C43—21no—
535C2×C4×C43—21no—
536C2×C4×C43—21no—
537C2×C4×C43—21no—
538C2×C4×C43—21no—
539C2×C4×C43—21no—
540C2×C4×C43—21no—
541C2×C4×C43—21no—
542C2×C4×C43—21no—
543C2×C4×C43—21no—
544C2×C4×C43—21no—
545C2×C4×C43—21no—
546C2×C4×C43—21no—
547C2×C4×C43—21no—
548C2×C4×C43—21no—
549C2×C4×C43—21no—
550C2×C4×C43—21no—
551C2×C4×C43—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—82no—
561C2×C4×C43H(5,𝔽2)12yes—
562C22⋊D43—44no—
563C22⋊D43—82no—
564C2×Dic43—21no—
565C2×Dic43—21no—
566C2×Dic43—21no—
567C2×Dic43—21no—
568C2×Dic43—21no—
569C2×Dic43—21no—
570C2×Dic43—21no—
571C2×Dic43—21no—
572C2×Dic43—21no—
573C2×Dic43—21no—
574C2×Dic43—21no—
575C2×Dic43—21no—
576C2×Dic43—21no—
577C2×Dic43—21no—
578C2×Dic43—21no—
579C2×Dic43—21no—
580C2×Dic43—21no—
581C2×Dic43—21no—
582C2×Dic43—21no—
583C2×Dic43—21no—
584C2×Dic43—21no—
585C2×Dic43—21no—
586C2×Dic43—21no—
587C2×Dic43—21no—
588C2×Dic43—21no—
589C2×Dic43—21no—
590C2×Dic43—21no—
591C2×Dic43—21no—
592C2×Dic43—21no—
593C2×Dic43—21no—
594C2×Dic43—21no—
595C2×Dic43—21no—
596C2×Dic43—21no—
597C2×Dic43—21no—
598C2×Dic43—21no—
599C2×Dic43—21no—
600C2×Dic43—21no—
601C2×Dic43—21no—
602C2×Dic43—21no—
603C2×Dic43—21no—
604C2×Dic43—21no—
605C2×Dic43—21no—
606C2×Dic43—21no—
607C2×Dic43—44no—
608C2×Dic43—44no—
609C2×Dic43—82no—
610C2×Dic43C2×#4112yes—
611C2×Dic43C2×#4112yes—
612C4×D43—44no—
613C4×D43—44no—
614C4×D43—44no—
615#36783—431nomaximal, Sylow
616C22×C43—22no—
617C22×C43—22no—
618C22×C43—22no—
619C22×C43—41no—
620C22×C43—41no—
621C22×C43—41no—
622C22×C43—41no—
623C22×C43—41no—
624C22×C43—41no—
625C22×C43—41no—
626C22×C43—41no—
627C22×C43—41no—
628C22×C43—41no—
629C22×C43—41no—
630C22×C43C22×#4111yescharacteristic
631C22×C43C2×H(5,𝔽2)11yescharacteristic
632C22×C43C2×2−1+411yescharacteristic
633C22×C43#58511yescharacteristic
634C22×C43#58511yescharacteristic
635C22×C43#58511yescharacteristic
636C22×C43#58511yescharacteristic
637C2×D43—22no—
638C2×D43—22no—
639C2×D43—22no—
640C2×D43—41no—
641C2×D43—41no—
642C2×D43—41no—
643C2×D43—41no—
644C4×C43—22no—
645C4×C43—41no—
646C4×C43—41no—
647C4×C43—41no—
648C4×C43—41no—
649C4×C43—41no—
650C4×C43—41no—
651C4×C43—41no—
652C4×C43—41no—
653C4×C43—41no—
654C4×C43—41no—
655C4×C43—41no—
656C4×C43—41no—
657Dic43—22no—
658Dic43—22no—
659Dic43—41no—
660Dic43—41no—
661Dic43—41no—
662Dic43—41no—
663Dic43—41no—
664Dic43—41no—
665Dic43—41no—
666Dic43—41no—
667Dic43—41no—
668Dic43—41no—
669Dic43—41no—
670Dic43—41no—
671Dic43—41no—
672#2853—431no—
673#2851—431no—
674#2793—431no—
675#2790—431no—
676#2780—431no—
677#2776—431no—
678#2765—431no—
679#2765—431no—
680#2749—431no—
681#2746—431no—
682#2744—431no—
683#2743—431no—
684#2743—431no—
685#2739—431no—
686#2719—431no—
687#2707—431no—
688#2694D4311yescharacteristic, complemented
689#2693—431no—
690#2655—431no—
691#2654—431no—
692#2602—431no—
693#2587—431no—
694#2579—431no—
695#2576—431no—
696#2533—431no—
697#2530—431no—
698#2441—431no—
699#2413—431no—
700#2335—431no—
701#2313—431no—
702#2290—431no—
703C2×C43—42no—
704C2×C43—81no—
705C2×C43#345511yescharacteristic
706C2×C43#349511yescharacteristic
707C2×C43#350511yescharacteristic
708C2×C43#353511yescharacteristic
709C2×C43#353911yescharacteristic
710C2×C43#355311yescharacteristic
711C2×C43#356611yescharacteristic
712D43—42no—
713C2×#125—431no—
714C2×#125C2×D4311yescharacteristic
715C2×#123—431no—
716C2×#123—431no—
717C2×#123C2×D4311yescharacteristic
718C2×C4×D4—431no—
719C2×#117—431no—
720C22×C4⋊C4—431no—
721C22×C42—431no—
722#401—431no—
723#401—431no—
724#400—431no—
725#400—431no—
726#400—431no—
727#400—431no—
728#400—431no—
729#400—431no—
730#400—431no—
731#400—431no—
732#400—431no—
733#400—431no—
734#400—431no—
735#400—431no—
736#400—431no—
737#399—431no—
738#399C2×D4311yescharacteristic
739#399C2×D4311yescharacteristic
740#398—431no—
741#398—431no—
742#398—431no—
743#398—431no—
744#398—431no—
745#398—431no—
746#398—431no—
747#398—431no—
748#398—431no—
749#398C2×D4311yescharacteristic
750#397—431no—
751#397—431no—
752#397—431no—
753#397—431no—
754#397—431no—
755#397C2×D4311yescharacteristic
756#396—431no—
757#396—431no—
758#396—431no—
759#396—431no—
760#396—431no—
761#396—431no—
762#396—431no—
763#396—431no—
764#396—431no—
765#396C2×D4311yescharacteristic
766#394—431no—
767#394—431no—
768#394C2×D4311yescharacteristic
769#392—431no—
770#390—431no—
771#390C2×D4311yescharacteristic
772#389—431no—
773#389—431no—
774#389—431no—
775#389—431no—
776#389—431no—
777#389—431no—
778#389—431no—
779#389—431no—
780#389—431no—
781#389C2×D4311yescharacteristic
782#388—431no—
783#388—431no—
784#388—431no—
785#388—431no—
786#388—431no—
787#388—431no—
788#388—431no—
789#388—431no—
790#388—431no—
791#388—431no—
792#388—431no—
793#388—431no—
794#388—431no—
795#388—431no—
796#388C2×D4311yescharacteristic
797#388C2×D4311yescharacteristic
798#387—431no—
799#387—431no—
800#387—431no—
801#387—431no—
802#387—431no—
803#387—431no—
804#387—431no—
805#387—431no—
806#387—431no—
807#387—431no—
808#387—431no—
809#387—431no—
810#387—431no—
811#387—431no—
812#387—431no—
813#387—431no—
814#387—431no—
815#387—431no—
816#387—431no—
817#387—431no—
818#387—431no—
819#387—431no—
820#387—431no—
821#387—431no—
822#387—431no—
823#387C2×D4311yescharacteristic
824#386—431no—
825#386—431no—
826#386—431no—
827#386—431no—
828#386—431no—
829#386—431no—
830#386—431no—
831#386—431no—
832#386—431no—
833#385—431no—
834#385—431no—
835#385—431no—
836#385—431no—
837#385—431no—
838#385—431no—
839#385—431no—
840#385—431no—
841#385—431no—
842#385—431no—
843#385—431no—
844#385—431no—
845#385C2×D4311yescharacteristic
846#384—431no—
847#383—431no—
848#382—431no—
849#382—431no—
850#381—431no—
851#381—431no—
852#381—431no—
853#381—431no—
854#381—431no—
855#380—431no—
856#380—431no—
857#380—431no—
858#380—431no—
859#380—431no—
860#380C2×D4311yescharacteristic
861C4×C4⋊C4—431no—
862C4×C4⋊C4—431no—
863C4×C22⋊C4—431no—
864C4×C22⋊C4—431no—
865C4×C22⋊C4—431no—
866C4×C22⋊C4—431no—
867#376—431no—
868C43#3678311yescharacteristic, complemented, Sylow
869C22×D4—431no—
870C22×D4—431no—
871C22×D4C22×D4311yescharacteristic
872C23×C4—431no—
873C23×C4—431no—
874C23×C4—431no—
875C23×C4—431no—
876C23×C4—431no—
877C23×C4—431no—
878C23×C4C22×D4311yescharacteristic
879#125—42no—
880#125—1722no—
881#123—42no—
882#123—864no—
883#123—1722no—
884C4×D4—864no—
885#117—1722no—
886C2×C4⋊C4—431no—
887C2×C4⋊C4—431no—
888C2×C4⋊C4—431no—
889C2×C4⋊C4—431no—
890C2×C4⋊C4—431no—
891C2×C4⋊C4—431no—
892C2×C4⋊C4—431no—
893C2×C4⋊C4—431no—
894C2×C4⋊C4—431no—
895C2×C4⋊C4—431no—
896C2×C4⋊C4—431no—
897C2×C4⋊C4—431no—
898C2×C4⋊C4—431no—
899C2×C4⋊C4—431no—
900C2×C4⋊C4—431no—
901C2×C4⋊C4—431no—
902C2×C4⋊C4—431no—
903C2×C4⋊C4—431no—
904C2×C4⋊C4—431no—
905C2×C4⋊C4—431no—
906C2×C4⋊C4—431no—
907C2×C4⋊C4—431no—
908C2×C4⋊C4—431no—
909C2×C4⋊C4—431no—
910C2×C4⋊C4—431no—
911C2×C4⋊C4—431no—
912C2×C4⋊C4—431no—
913C2×C4⋊C4—431no—
914C2×C4⋊C4—431no—
915C2×C4⋊C4—431no—
916C2×C4⋊C4—431no—
917C2×C4⋊C4—864no—
918C2×C4⋊C4C22×D4311yescharacteristic
919C2×C4⋊C4C22×D4311yescharacteristic
920C2×C4⋊C4C22×D4311yescharacteristic
921C2×C4⋊C4C22×D4311yescharacteristic
922C2×C4⋊C4C22×D4311yescharacteristic
923C2×C4⋊C4C22×D4311yescharacteristic
924C2×C4⋊C4C22×D4311yescharacteristic
925C2×C4⋊C4C22×D4311yescharacteristic
926C2×C4⋊C4C22×D4311yescharacteristic
927C2×C4⋊C4C22×D4311yescharacteristic
928C2×C4⋊C4C22×D4311yescharacteristic
929C2×C4⋊C4C22×D4311yescharacteristic
930C2×C22⋊C4—431no—
931C2×C22⋊C4—431no—
932C2×C22⋊C4—431no—
933C2×C22⋊C4—431no—
934C2×C22⋊C4—431no—
935C2×C22⋊C4—431no—
936C2×C22⋊C4—431no—
937C2×C22⋊C4—431no—
938C2×C22⋊C4—431no—
939C2×C22⋊C4—431no—
940C2×C22⋊C4—431no—
941C2×C22⋊C4—431no—
942C2×C22⋊C4—431no—
943C2×C22⋊C4—431no—
944C2×C22⋊C4—431no—
945C2×C22⋊C4—431no—
946C2×C22⋊C4—431no—
947C2×C22⋊C4—431no—
948C2×C22⋊C4—431no—
949C2×C22⋊C4—431no—
950C2×C22⋊C4—431no—
951C2×C22⋊C4C22×D4311yescharacteristic
952C2×C22⋊C4C22×D4311yescharacteristic
953C2×C22⋊C4C22×D4311yescharacteristic
954C2×C22⋊C4C22×D4311yescharacteristic
955C2×C22⋊C4C22×D4311yescharacteristic
956C2×C22⋊C4C22×D4311yescharacteristic
957C2×C22⋊C4C22×D4311yescharacteristic
958C2×C22⋊C4C22×D4311yescharacteristic
959C2×C22⋊C4C22×D4311yescharacteristic
960C2×C22⋊C4C22×D4311yescharacteristic
961C2×C22⋊C4C22×D4311yescharacteristic
962C2×C42—431no—
963C2×C42—431no—
964C2×C42—431no—
965C2×C42—431no—
966C2×C42—431no—
967C2×C42—431no—
968C2×C42—431no—
969C2×C42—431no—
970C2×C42—431no—
971C2×C42—431no—
972C2×C42—1722no—
973C2×C42C22×D4311yescharacteristic
974C2×C42C22×D4311yescharacteristic
975#95—431no—
976#95—431no—
977#95—431no—
978#95—431no—
979#95—431no—
980#95—431no—
981#95—431no—
982#95—431no—
983#95—431no—
984#95—431no—
985#95—431no—
986#95—431no—
987#95—431no—
988#95—431no—
989#95—431no—
990#95—431no—
991#95—431no—
992#95—431no—
993#95—431no—
994#95—431no—
995#95—431no—
996#95—431no—
997#95—431no—
998#95—431no—
999#95—431no—
1000#95—431no—
1001#95—431no—
1002#95—431no—
1003#95—431no—
1004#95—431no—
1005#95—431no—
1006#95—431no—
1007#95—431no—
1008#95—431no—
1009#95—431no—
1010#95—431no—
1011#95—431no—
1012#95—431no—
1013#95—431no—
1014#95—431no—
1015#95—431no—
1016#95—431no—
1017#95—431no—
1018#95—431no—
1019#95—431no—
1020#95—431no—
1021#95—431no—
1022#95—431no—
1023#95—431no—
1024#95—431no—
1025#95C22×D4311yescharacteristic
1026#95C22×D4311yescharacteristic
1027#95C22×D4311yescharacteristic
1028#95C22×D4311yescharacteristic
1029#95C22×D4311yescharacteristic
1030#95C22×D4311yescharacteristic
1031#95C22×D4311yescharacteristic
1032#95C22×D4311yescharacteristic
1033C24—431no—
1034C24C23×D4311yescharacteristic
1035C24C23×D4311yescharacteristic
1036C2×D4—22no—
1037C2×D4—41no—
1038C2×D4—41no—
1039C2×D4—862no—
1040C2×D4—862no—
1041C2×D4—862no—
1042C2×D4—1721no—
1043C2×D4—1721no—
1044C2×D4—1721no—
1045C22×C4—22no—
1046C22×C4—41no—
1047C22×C4—41no—
1048C22×C4—431no—
1049C22×C4—431no—
1050C22×C4—434no—
1051C22×C4—431no—
1052C22×C4—431no—
1053C22×C4—431no—
1054C22×C4—431no—
1055C22×C4—431no—
1056C22×C4—431no—
1057C22×C4—431no—
1058C22×C4—431no—
1059C22×C4—431no—
1060C22×C4—431no—
1061C22×C4—431no—
1062C22×C4—431no—
1063C22×C4—431no—
1064C22×C4—862no—
1065C22×C4—862no—
1066C22×C4—862no—
1067C22×C4—862no—
1068C22×C4—1721no—
1069C22×C4—1721no—
1070C22×C4—1721no—
1071C22×C4—1721no—
1072C22×C4—1721no—
1073C22×C4—1721no—
1074C22×C4—1721no—
1075C22×C4—1721no—
1076C22×C4—1721no—
1077C22×C4—1721no—
1078C22×C4—1721no—
1079C22×C4—1721no—
1080C22×C4—1721no—
1081C22×C4C23×D4311yescharacteristic
1082C22×C4C23×D4311yescharacteristic
1083C22×C4C23×D4311yescharacteristic
1084C22×C4C23×D4311yescharacteristic
1085C22×C4C23×D4311yescharacteristic
1086C22×C4C23×D4311yescharacteristic
1087C22×C4C23×D4311yescharacteristic
1088C22×C4C23×D4311yescharacteristic
1089C22×C4C23×D4311yescharacteristic
1090C22×C4C23×D4311yescharacteristic
1091C22×C4C23×D4311yescharacteristic
1092C22×C4C23×D4311yescharacteristic
1093C22×C4C23×D4311yescharacteristic
1094C4⋊C4—22no—
1095C4⋊C4—22no—
1096C4⋊C4—41no—
1097C4⋊C4—41no—
1098C4⋊C4—41no—
1099C4⋊C4—41no—
1100C4⋊C4—41no—
1101C4⋊C4—41no—
1102C4⋊C4—41no—
1103C4⋊C4—41no—
1104C4⋊C4—41no—
1105C4⋊C4—41no—
1106C4⋊C4—862no—
1107C4⋊C4—862no—
1108C4⋊C4—862no—
1109C4⋊C4—862no—
1110C4⋊C4—862no—
1111C4⋊C4—862no—
1112C4⋊C4—862no—
1113C4⋊C4—862no—
1114C4⋊C4—862no—
1115C4⋊C4—1721no—
1116C4⋊C4—1721no—
1117C4⋊C4—1721no—
1118C4⋊C4—1721no—
1119C4⋊C4—1721no—
1120C4⋊C4—1721no—
1121C4⋊C4—1721no—
1122C4⋊C4—1721no—
1123C4⋊C4—1721no—
1124C4⋊C4—1721no—
1125C4⋊C4—1721no—
1126C4⋊C4—1721no—
1127C4⋊C4—1721no—
1128C4⋊C4—1721no—
1129C4⋊C4—1721no—
1130C4⋊C4—1721no—
1131C4⋊C4—1721no—
1132C4⋊C4—1721no—
1133C4⋊C4—1721no—
1134C4⋊C4—1721no—
1135C4⋊C4—1721no—
1136C4⋊C4—1721no—
1137C22⋊C4—22no—
1138C22⋊C4—22no—
1139C22⋊C4—22no—
1140C22⋊C4—41no—
1141C22⋊C4—41no—
1142C22⋊C4—41no—
1143C22⋊C4—41no—
1144C22⋊C4—41no—
1145C22⋊C4—41no—
1146C22⋊C4—41no—
1147C22⋊C4—41no—
1148C22⋊C4—862no—
1149C22⋊C4—862no—
1150C22⋊C4—862no—
1151C22⋊C4—862no—
1152C22⋊C4—862no—
1153C22⋊C4—862no—
1154C22⋊C4—1721no—
1155C22⋊C4—1721no—
1156C22⋊C4—1721no—
1157C22⋊C4—1721no—
1158C22⋊C4—1721no—
1159C22⋊C4—1721no—
1160C22⋊C4—1721no—
1161C22⋊C4—1721no—
1162C22⋊C4—1721no—
1163C22⋊C4—1721no—
1164C22⋊C4—1721no—
1165C22⋊C4—1721no—
1166C22⋊C4—1721no—
1167C22⋊C4—1721no—
1168C22⋊C4—1721no—
1169C42—22no—
1170C42—41no—
1171C42—862no—
1172C42—862no—
1173C42—1721no—
1174C42—1721no—
1175C42—1721no—
1176C42—1721no—
1177C42—1721no—
1178C42—1721no—
1179C42—1721no—
1180C42—1721no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—432no—
1195C23—861no—
1196C23—861no—
1197C23—861no—
1198C23—861no—
1199C23—861no—
1200C23—861no—
1201C23#41×D4312yes—
1202C23C24×D4311yescharacteristic
1203D4—82no—
1204D4—3442no—
1205D4—1724no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—82no—
1245C2×C4—432no—
1246C2×C4—432no—
1247C2×C4—861no—
1248C2×C4—861no—
1249C2×C4—861no—
1250C2×C4—861no—
1251C2×C4—861no—
1252C2×C4—861no—
1253C2×C4—861no—
1254C2×C4—861no—
1255C2×C4—861no—
1256C2×C4—861no—
1257C2×C4—861no—
1258C2×C4—861no—
1259C2×C4—861no—
1260C2×C4—861no—
1261C2×C4—861no—
1262C2×C4—861no—
1263C2×C4—861no—
1264C2×C4—861no—
1265C2×C4—861no—
1266C2×C4—861no—
1267C2×C4—861no—
1268C2×C4—861no—
1269C2×C4—861no—
1270C2×C4—861no—
1271C2×C4—861no—
1272C2×C4—861no—
1273C2×C4—861no—
1274C2×C4—861no—
1275C2×C4—861no—
1276C2×C4—861no—
1277C2×C4—861no—
1278C2×C4—861no—
1279C2×C4—861no—
1280C2×C4—861no—
1281C2×C4—861no—
1282C2×C4—861no—
1283C2×C4—861no—
1284C2×C4—861no—
1285C2×C4—861no—
1286C2×C4—861no—
1287C2×C4—861no—
1288C2×C4—861no—
1289C2×C4—861no—
1290C2×C4—3442no—
1291C2×C4—1724no—
1292C2×C4—1724no—
1293C2×C4—1724no—
1294C2×C4—1724no—
1295C2×C4—1724no—
1296C2×C4#1306337012yes—
1297C22—22no—
1298C22—22no—
1299C22—22no—
1300C22—41no—
1301C22—41no—
1302C22—41no—
1303C22—41no—
1304C22—41no—
1305C22—41no—
1306C22—41no—
1307C22—41no—
1308C22—41no—
1309C22—41no—
1310C22—41no—
1311C22—862no—
1312C22—862no—
1313C22—862no—
1314C22—1721no—
1315C22—1721no—
1316C22—1721no—
1317C22—1721no—
1318C22C2×#41×D4311yescharacteristic
1319C22C2×#1306337011yescharacteristic
1320C222−1+4×D4311yescharacteristic
1321C22#1458373411yescharacteristic
1322C22#1458373411yescharacteristic
1323C22#1458373511yescharacteristic
1324C22#1458373611yescharacteristic
1325C4—22no—
1326C4—41no—
1327C4—41no—
1328C4—41no—
1329C4—41no—
1330C4—41no—
1331C4—41no—
1332C4—41no—
1333C4—41no—
1334C4—41no—
1335C4—41no—
1336C4—41no—
1337C4—41no—
1338C4—862no—
1339C4—862no—
1340C4—1721no—
1341C4—1721no—
1342C4—1721no—
1343C4—1721no—
1344C4—1721no—
1345C4—1721no—
1346C4—1721no—
1347C4—1721no—
1348C4—1721no—
1349C4—1721no—
1350C4—1721no—
1351C4—1721no—
1352C4—1721no—
1353C2—42no—
1354C2—81no—
1355C2—1722no—
1356C2#1914798111yescharacteristic
1357C2#1914833811yescharacteristic
1358C2#1914842211yescharacteristic
1359C2#1914879411yescharacteristic
1360C2#1914884611yescharacteristic
1361C2#1914905011yescharacteristic
1362C2#1914927411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2694C2
prime radical#14582807C22
hypercenter#2694D43
hypocenterC43#36783
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2694

Complements

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

NH ≅ G/Ntype
1. #19142915C2semidirect
2. #19142900C2semidirect
3. #19142406C2semidirect
4. #19142364C2semidirect
5. #19142248C2semidirect
6. #19142183C2semidirect
7. #19142028C2semidirect
8. #19142028C2semidirect
10. #19141775C2semidirect
11. #19141753C2semidirect
12. #19141741C2semidirect
13. #19141736C2semidirect
14. #19141675C2semidirect
15. #19141454C2semidirect
16. #19141300C2semidirect
18. #19140691C2semidirect
19. #19140668C2semidirect
21. #19140022C2semidirect
22. #19139947C2semidirect
23. #19139892C2semidirect
24. #19139476C2semidirect
25. #19139420C2semidirect
26. #19138301C2semidirect
27. #19137998C2semidirect
28. #19137382C2semidirect
29. #19137197C2semidirect
30. #19137037C2semidirect
31. C43×#2694C2semidirect
688. #2694D43semidirect
868. C43#36783semidirect

Maximal subgroups

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

subgroupindex
#191429152
#191429002
#191424062
#191423642
#191422482
#191421832
#191420282
#191418162
#191417752
#191417532
#191417412
#191417362
#191416752
#191414542
#191413002
#191411002
#191406912
#191406682
#191402102
#191400222
#191399472
#191398922
#191394762
#191394202
#191383012
#191379982
#191373822
#191371972
#191370372
C43×#26942
#3678343