Finite Group Databasebeta

← #33968046

Subgroups — #33968046

Order 18688.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623535C211yesmaximal, characteristic, complemented
2#22623528C211yesmaximal, characteristic, complemented
3#22623014C211yesmaximal, characteristic, complemented
4#22622869C211yesmaximal, characteristic, complemented
5#22622706C211yesmaximal, characteristic, complemented
6#22622677C211yesmaximal, characteristic, complemented
7#22622483C211yesmaximal, characteristic, complemented
8#22622414C211yesmaximal, characteristic, complemented
9#22622331C211yesmaximal, characteristic, complemented
10#22622076C211yesmaximal, characteristic, complemented
11#22622040C211yesmaximal, characteristic, complemented
12#22621964C211yesmaximal, characteristic, complemented
13#22621944C211yesmaximal, characteristic, complemented
14#22621831C211yesmaximal, characteristic, complemented
15#22621785C211yesmaximal, characteristic, complemented
16#22621642C211yesmaximal, characteristic, complemented
17#22621477C211yesmaximal, characteristic, complemented
18#22621430C211yesmaximal, characteristic, complemented
19#22620658C211yesmaximal, characteristic, complemented
20#22620627C211yesmaximal, characteristic, complemented
21#22620623C211yesmaximal, characteristic, complemented
22#22620104C211yesmaximal, characteristic, complemented
23#22620078C211yesmaximal, characteristic, complemented
24#22620067C211yesmaximal, characteristic, complemented
25#22620036C211yesmaximal, characteristic, complemented
26#22620036C211yesmaximal, characteristic, complemented
27#22618940C211yesmaximal, characteristic, complemented
28#22618742C211yesmaximal, characteristic, complemented
29#22618728C211yesmaximal, characteristic, complemented
30C2×#17988687C211yesmaximal, characteristic, complemented
31C73×#3109C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33C2×#14556610C2211yescharacteristic
34C22×#11924016C2211yescharacteristic
35#17989323C2211yescharacteristic, complemented
36#17989320C2211yescharacteristic
37#17989319—21no—
38#17989312C2211yescharacteristic, complemented
39#17989311C2211yescharacteristic, complemented
40#17989306—21no—
41#17989296C2211yescharacteristic
42#17989292C2211yescharacteristic
43#17989289C2211yescharacteristic
44#17989289C2211yescharacteristic, complemented
45#17989287C2211yescharacteristic
46#17989286—21no—
47#17989285C2211yescharacteristic
48#17989280—21no—
49#17989280—21no—
50#17989266—21no—
51#17989263—21no—
52#17989257C2211yescharacteristic, complemented
53#17989243C2211yescharacteristic
54#17989243C2211yescharacteristic, complemented
55#17989232C2211yescharacteristic
56#17989231C2211yescharacteristic
57#17989227—21no—
58D4×C22⋊D73C2211yescharacteristic
59#17989134C2211yescharacteristic
60#17989133—21no—
61#17989121C2211yescharacteristic
62#17989119C2211yescharacteristic
63#17989119C2211yescharacteristic, complemented
64#17989119C2211yescharacteristic, complemented
65#17989117—21no—
66#17989117—21no—
67#17989117—21no—
68#17989098—21no—
69#17989096—21no—
70#41×Dic73—21no—
71C4×#11924028C2211yescharacteristic
72C4×#11924027C2211yescharacteristic
73C4×#11924027C2211yescharacteristic, complemented
74C4×#11924027C2211yescharacteristic, complemented
75C2×C4×Dic146C2211yescharacteristic, complemented
76C2×C4×C22⋊D73—21no—
77C4×D4×D73C2211yescharacteristic
78#17988994C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988987C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic
82#17988974C2211yescharacteristic, complemented
83#17988970C2211yescharacteristic, complemented
84#17988951C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic
86#17988949C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988940C2211yescharacteristic, complemented
89#17988940C2211yescharacteristic, complemented
90#17988931C2211yescharacteristic, complemented
91#17988931C2211yescharacteristic, complemented
92#17988923C2211yescharacteristic, complemented
93#17988919C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic
96#17988910C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic, complemented
98#17988906C2211yescharacteristic
99#17988899C2211yescharacteristic, complemented
100#17988897C2211yescharacteristic, complemented
101#17988897C2211yescharacteristic, complemented
102#17988895C2211yescharacteristic, complemented
103#17988895C2211yescharacteristic, complemented
104#17988889C2211yescharacteristic
105#17988889C2211yescharacteristic, complemented
106#17988886C2211yescharacteristic, complemented
107#17988885C2211yescharacteristic
108#17988871C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988846C2211yescharacteristic, complemented
111#17988837C2211yescharacteristic
112#17988832C2211yescharacteristic
113#17988832C2211yescharacteristic, complemented
114#17988822C2211yescharacteristic, complemented
115#17988821C2211yescharacteristic
116#17988821C2211yescharacteristic
117#17988820C2211yescharacteristic, complemented
118#17988817C2211yescharacteristic, complemented
119#17988815C2211yescharacteristic, complemented
120#17988814C2211yescharacteristic, complemented
121#17988814C2211yescharacteristic, complemented
122#17988810C2211yescharacteristic, complemented
123#17988810C2211yescharacteristic, complemented
124#17988808C2211yescharacteristic, complemented
125#17988808C2211yescharacteristic, complemented
126#17988801C2211yescharacteristic, complemented
127#17988800C2211yescharacteristic
128#17988800C2211yescharacteristic
129#17988800C2211yescharacteristic, complemented
130#17988786C2211yescharacteristic
131#17988780C2211yescharacteristic
132#17988750C2211yescharacteristic
133#17988750C2211yescharacteristic, complemented
134#17988745C2211yescharacteristic, complemented
135#17988739C2211yescharacteristic
136#17988733C2211yescharacteristic, complemented
137#17988729C2211yescharacteristic
138#17988729C2211yescharacteristic
139#17988729C2211yescharacteristic, complemented
140#17988728C2211yescharacteristic
141#17988719C2211yescharacteristic
142#17988716C2211yescharacteristic, complemented
143#17988716C2211yescharacteristic, complemented
144#17988699C2211yescharacteristic
145#17988697C2211yescharacteristic, complemented
146#17988697C2211yescharacteristic, complemented
147#17988695C2211yescharacteristic, complemented
148#17988695C2211yescharacteristic, complemented
149#17988693C2211yescharacteristic, complemented
150#17988689C2211yescharacteristic, complemented
151#17988689C2211yescharacteristic, complemented
152#17988687C2211yescharacteristic
153#17988687C2211yescharacteristic
154#17988687C2211yescharacteristic
155#17988687C2211yescharacteristic
156#17988687C2211yescharacteristic, complemented
157#17988687C2211yescharacteristic, complemented
158#17988687C2211yescharacteristic, complemented
159#17988687C2211yescharacteristic, complemented
160#17988687C2211yescharacteristic, complemented
161#17988687C2211yescharacteristic, complemented
162#17988684C2211yescharacteristic
163#17988684C2211yescharacteristic, complemented
164#17988678C2211yescharacteristic
165#17988674C2211yescharacteristic, complemented
166D8×Dic73C2211yescharacteristic
167#17988667C2211yescharacteristic, complemented
168#17988657C2211yescharacteristic, complemented
169#17988657C2211yescharacteristic, complemented
170#17988655C2211yescharacteristic
171#17988655C2211yescharacteristic
172#17988650C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic, complemented
174#17988642C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988626C2211yescharacteristic, complemented
177#17988622C2211yescharacteristic, complemented
178C2×#14556524C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic
180#17988585C2211yescharacteristic, complemented
181#17988580C2211yescharacteristic
182#17988580C2211yescharacteristic, complemented
183C2×#14556514C2211yescharacteristic, complemented
184C2×#14556512C2211yescharacteristic
185#17988539C2211yescharacteristic, complemented
186C2×#14556502C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#532×C73C2211yescharacteristic, complemented
189C2×C4×D4×C73C2211yescharacteristic
190#481×C73C2211yescharacteristic, complemented
191#481×C73C2211yescharacteristic, complemented
192#476×C73C2211yescharacteristic
193#476×C73C2211yescharacteristic, complemented
194#459×C73C2211yescharacteristic
195#459×C73C2211yescharacteristic, complemented
196#447×C73C2211yescharacteristic
197#447×C73C2211yescharacteristic
198#442×C73C2211yescharacteristic
199#442×C73C2211yescharacteristic
200#442×C73C2211yescharacteristic, complemented
201#442×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028D411yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C22×Dic146C2311yescharacteristic
209C22×C22⋊D73—21no—
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212#14556615—24no—
213#14556610—24no—
214C2×Dic292C2311yescharacteristic
215C2×Dic292C2311yescharacteristic
216C2×#11924017C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924016—24no—
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924011C2311yescharacteristic
228C2×#11924011C2311yescharacteristic
229C22×#10596831C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233#14556590C2311yescharacteristic
234#14556589—21no—
235#14556587—21no—
236#14556587C2311yescharacteristic
237#14556586—21no—
238#14556586—21no—
239#14556586—21no—
240#14556585—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556583C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556580—21no—
255#14556579C2311yescharacteristic
256#14556578—21no—
257#14556578C2311yescharacteristic
258#14556578C2311yescharacteristic
259#14556578C2311yescharacteristic
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556576—21no—
265#14556575—21no—
266#14556575—21no—
267#14556575—21no—
268#14556574—21no—
269#14556574—21no—
270#14556574—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556572—21no—
276#14556572—21no—
277#14556572—21no—
278#14556571C2311yescharacteristic
279#14556571C2311yescharacteristic
280#14556571C2311yescharacteristic
281#14556570—21no—
282#14556570—21no—
283#14556570C2311yescharacteristic
284#14556569—21no—
285#14556568—21no—
286#14556568—21no—
287#14556568—21no—
288#14556568—21no—
289#14556566C2311yescharacteristic
290#14556565—21no—
291#14556565—21no—
292#14556565C2311yescharacteristic
293#14556564—21no—
294#14556564—21no—
295#14556563—21no—
296#14556563—21no—
297#14556563—21no—
298#14556563—21no—
299#14556563—21no—
300#14556563—21no—
301#14556563—21no—
302#14556563—21no—
303#14556562C2311yescharacteristic
304#14556562C2311yescharacteristic
305#14556562C2311yescharacteristic
306#14556562C2311yescharacteristic
307#14556561—21no—
308#14556560—21no—
309#14556560—21no—
310#14556559—21no—
311Q8×Dic73—21no—
312Q8×Dic73—21no—
313C4×Dic146—21no—
314C4×Dic146—21no—
315C4×Dic146D411yescharacteristic
316C4×Dic146C2311yescharacteristic
317C4×Dic146C2311yescharacteristic
318C4×Dic146C2311yescharacteristic
319C4×Dic146C2311yescharacteristic
320C4×Dic146C2311yescharacteristic
321C4×Dic146C2311yescharacteristic
322#14556556C2311yescharacteristic
323#14556556C2311yescharacteristic
324#14556556C2311yescharacteristic
325C4×D292D411yescharacteristic
326C4×D292C2311yescharacteristic
327C4×D292C2311yescharacteristic
328D4×Dic73—21no—
329D4×Dic73—21no—
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73C2311yescharacteristic
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338#14556553C2311yescharacteristic
339C4×C22⋊D73—21no—
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73D411yescharacteristic
353C4×C22⋊D73D411yescharacteristic
354C4×C22⋊D73C2311yescharacteristic
355C4×C22⋊D73C2311yescharacteristic
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556550—21no—
361#14556550—21no—
362#14556550—21no—
363#14556550D411yescharacteristic
364#14556549C2311yescharacteristic
365#14556549C2311yescharacteristic
366#14556549C2311yescharacteristic
367#14556548—21no—
368#14556548D411yescharacteristic
369#14556548D411yescharacteristic
370#14556547—21no—
371#14556547—21no—
372#14556547—21no—
373C2×C4⋊Dic73C2311yescharacteristic
374C2×#11924007—21no—
375C2×#11924007—21no—
376C4⋊C4×D73C2311yescharacteristic
377C2×C22⋊Dic73—21no—
378C2×#11924005—21no—
379C22⋊C4×D73—21no—
380C2×C4×Dic73—21no—
381C2×C4×Dic73—21no—
382C2×C4×Dic73—21no—
383C2×C4×Dic73—21no—
384C42×D73C2311yescharacteristic
385C42×D73C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556523C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73—21no—
439C22×D4×C73C2311yescharacteristic
440C23×C4×C73—21no—
441C2×D8×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446#127×C73C2311yescharacteristic
447#124×C73—21no—
448#121×C73—21no—
449#121×C73C2311yescharacteristic
450#121×C73C2311yescharacteristic
451C4×D4×C73—21no—
452C4×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C22⋊C4×C73—21no—
462C2×C42×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477C22⋊C8×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482#11924028—42no—
483#11924028—82no—
484#11924027—22no—
485#11924027—22no—
486#11924027—22no—
487#11924027—41no—
488#11924027—41no—
489#11924027—41no—
490C2×Dic146—22no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—41no—
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×D292—21no—
499C2×D292C2×D411yescharacteristic
500C2×D292C2411yescharacteristic
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—44no—
513C2×C22⋊D73C2×D411yescharacteristic
514C2×C22⋊D73C2×D411yescharacteristic
515D4×D73—22no—
516D4×D73—41no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—82no—
530C2×C4×D73C2×D411yescharacteristic
531C2×C4×D73C2×D411yescharacteristic
532C2×C4×D73C2×D411yescharacteristic
533C2×C4×D73C2×D411yescharacteristic
534C2×C4×D73C2411yescharacteristic
535C2×C4×D73C2411yescharacteristic
536Dic292—22no—
537Dic292—41no—
538#11924017—22no—
539#11924017—41no—
540#11924016—22no—
541#11924016—22no—
542#11924016—22no—
543#11924016—22no—
544#11924016—41no—
545#11924016#4114yescomplemented
546#11924013—22no—
547#11924013—41no—
548#11924011—22no—
549#11924011—41no—
550C2×#10596831—22no—
551C2×#10596831—41no—
552C2×#10596831C2411yescharacteristic
553C2×#10596831C2411yescharacteristic
554C2×#10596831C2411yescharacteristic
555C2×#10596831C2411yescharacteristic
556C8×D73—22no—
557C8×D73—41no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73C2×D411yescharacteristic
566C4⋊Dic73C2×D411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73C2×D411yescharacteristic
607C22⋊Dic73C2×D411yescharacteristic
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2411yescharacteristic
640C4×Dic73C2411yescharacteristic
641C24×C73—21no—
642#41×C73—44no—
643C2×Q8×C73—21no—
644C2×D4×C73—22no—
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—41no—
651C2×D4×C73C2411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C2×D4×C73C2411yescharacteristic
654C2×D4×C73C2411yescharacteristic
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—21no—
658C22×C4×C73—21no—
659C22×C4×C73—21no—
660C22×C4×C73—21no—
661C22×C4×C73—21no—
662C22×C4×C73—82no—
663C22×C4×C73C2×D411yescharacteristic
664C22×C4×C73C2×D411yescharacteristic
665C22×C4×C73C2411yescharacteristic
666D8×C73—22no—
667D8×C73—22no—
668D8×C73—41no—
669D8×C73—41no—
670C2×C8×C73C2411yescharacteristic
671C2×C8×C73C2411yescharacteristic
672C2×C8×C73C2411yescharacteristic
673C2×C8×C73C2411yescharacteristic
674C4⋊C4×C73—21no—
675C4⋊C4×C73—21no—
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73—21no—
688C42×C73C2×D411yescharacteristic
689C42×C73C2×D411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—21no—
696C23×C73—42no—
697C23×C73—42no—
698C23×C73—81no—
699C23×C73C22×D411yescharacteristic
700C22×D73—21no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—81no—
704C22×D73C22×D411yescharacteristic
705C22×D73C22×D411yescharacteristic
706Q8×C73—42no—
707D4×C73—21no—
708D4×C73—21no—
709D4×C73—21no—
710D4×C73—21no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—42no—
715D4×C73—42no—
716D4×C73—42no—
717D4×C73—42no—
718D4×C73—81no—
719D4×C73C2×#4112yes—
720C2×C4×C73—22no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—41no—
728C2×C4×C73—42no—
729C2×C4×C73—42no—
730C2×C4×C73—42no—
731C2×C4×C73—42no—
732C2×C4×C73—81no—
733C2×C4×C73—81no—
734C2×C4×C73—81no—
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C2511yescharacteristic
741C22⋊D73—22no—
742C22⋊D73—22no—
743C22⋊D73—42no—
744C22⋊D73—42no—
745C22⋊D73—42no—
746C22⋊D73—42no—
747C22⋊D73—42no—
748C22⋊D73—42no—
749C22⋊D73—42no—
750C22⋊D73—81no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—42no—
762C2×Dic73—42no—
763C2×Dic73—42no—
764C2×Dic73—42no—
765C2×Dic73—42no—
766C2×Dic73—81no—
767C2×Dic73—81no—
768C2×Dic73—81no—
769C2×Dic73—81no—
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776D292—21no—
777D292—21no—
778D292—41no—
779D292—81no—
780C4×D73—21no—
781C4×D73—21no—
782C4×D73—21no—
783C4×D73—21no—
784C4×D73—41no—
785C4×D73—41no—
786C4×D73—41no—
787C4×D73—41no—
788C4×D73—42no—
789C4×D73—81no—
790C4×D73—81no—
791Dic146—21no—
792Dic146—21no—
793Dic146—21no—
794Dic146—21no—
795Dic146—21no—
796Dic146—41no—
797Dic146—42no—
798Dic146—81no—
799Dic146C2×#4112yes—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73—21no—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831C2×#4112yes—
808C22×C73—21no—
809C22×C73—21no—
810C22×C73—22no—
811C22×C73—41no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—84no—
823C22×C73#57512yes—
824C22×C73C23×D411yescharacteristic
825C2×D73—21no—
826C2×D73—21no—
827C2×D73—21no—
828C2×D73—21no—
829C2×D73—21no—
830C2×D73—21no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—84no—
835C4×C73—21no—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—41no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73C22×#4111yescharacteristic
845C4×C73#58511yescharacteristic
846Dic73—21no—
847Dic73—21no—
848Dic73—22no—
849Dic73—21no—
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—41no—
854Dic73—41no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859#61456—731nomaximal, Sylow
860C2×C73—22no—
861C2×C73—42no—
862C2×C73—81no—
863C2×C73—81no—
864C2×C73—81no—
865C2×C73D4×#4111yescharacteristic
866C2×C73C2×#57511yescharacteristic
867C2×C73#358511yescharacteristic
868D73—41no—
869D73—41no—
870D73—81no—
871#3481—731no—
872#3480—731no—
873#3403—731no—
874#3388—731no—
875#3371—731no—
876#3370—731no—
877#3350—731no—
878#3346—731no—
879#3339—731no—
880#3318—731no—
881#3316—731no—
882#3311—731no—
883#3309—731no—
884#3301—731no—
885#3297—731no—
886#3282—731no—
887#3268—731no—
888#3265—731no—
889#3183—731no—
890#3180—731no—
891#3180—731no—
892#3117—731no—
893#3115—731no—
894#3114—731no—
895#3111—731no—
896#3111—731no—
897#3109D7311yescharacteristic, complemented
898#2970—731no—
899C4×AGL(1,ℤ/8)—731no—
900#2943—731no—
901C2×#440—731no—
902C73#6145611yescharacteristic, complemented, Sylow
903C2×AGL(1,ℤ/8)—731no—
904C2×#135—731no—
905C22×SD16—731no—
906#559—731no—
907#559—731no—
908#559—1461no—
909#557—731no—
910#556—731no—
911#556—1461no—
912#554—731no—
913#554—731no—
914#553—731no—
915#553—731no—
916#553—731no—
917#553—731no—
918#553—1461no—
919#553—1461no—
920#553—1461no—
921#551—1461no—
922#551—1461no—
923#550—731no—
924#548—731no—
925#548—731no—
926#546—731no—
927#546—731no—
928#546—1461no—
929D42—731no—
930#532—731no—
931#532—1461no—
932#532C2×D7311yescharacteristic, complemented
933#529—731no—
934#529—731no—
935#529—731no—
936#529—731no—
937#529—1461no—
938#529—1461no—
939#529—1461no—
940#525—1461no—
941#525—1461no—
942C4×#41—731no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41—1461no—
947C2×C4×Q8—731no—
948C2×C4×D4—731no—
949C2×C4×D4—1461no—
950C2×C4×D4C2×D7311yescharacteristic
951#501—731no—
952#501—731no—
953#499—731no—
954#496—731no—
955#496—731no—
956#495—731no—
957#490—731no—
958#490—731no—
959#489—731no—
960#489—731no—
961#488—731no—
962#488—731no—
963#485—731no—
964#485—731no—
965#484—731no—
966#483—731no—
967#482—731no—
968#482—731no—
969#482—731no—
970#482—731no—
971#481—731no—
972#481C2×D7311yescharacteristic, complemented
973#481C2×D7311yescharacteristic, complemented
974#480—731no—
975#479—731no—
976#479—731no—
977#479—731no—
978#479—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#476C2×D7311yescharacteristic
984#476C2×D7311yescharacteristic, complemented
985#475—731no—
986#474—731no—
987#470—731no—
988#469—731no—
989#468—731no—
990#468—731no—
991#466—731no—
992#466—731no—
993#466—731no—
994#466—731no—
995#465—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#464—731no—
1000#464—731no—
1001#464—731no—
1002#464—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#460—731no—
1008#459—731no—
1009#459C2×D7311yescharacteristic
1010#459C2×D7311yescharacteristic, complemented
1011#452—731no—
1012#452—731no—
1013#451—731no—
1014#450—731no—
1015#449—731no—
1016#449—731no—
1017#449—731no—
1018#449—731no—
1019#448—731no—
1020#447—731no—
1021#447C2×D7311yescharacteristic
1022#447C2×D7311yescharacteristic
1023#446—731no—
1024#446—731no—
1025#442—731no—
1026#442—731no—
1027#442—731no—
1028#442C2×D7311yescharacteristic
1029#442C2×D7311yescharacteristic
1030#442C2×D7311yescharacteristic, complemented
1031#442C2×D7311yescharacteristic, complemented
1032#441—731no—
1033#441—731no—
1034#441—731no—
1035#440—731no—
1036#440—731no—
1037#440—731no—
1038#440—731no—
1039#440—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049C4×SD16—731no—
1050C4×SD16—731no—
1051C4×D8—731no—
1052C4×D8—731no—
1053#435—731no—
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057C8×D4—731no—
1058C8×D4—731no—
1059#432—731no—
1060#432—731no—
1061#432C2×D7311yescharacteristic, complemented
1062#428—731no—
1063#427—731no—
1064C2×#107—731no—
1065#418—731no—
1066#417—731no—
1067#416—731no—
1068#416—731no—
1069C2×#103—731no—
1070C2×#102—731no—
1071C4×M16—731no—
1072C2×#97—731no—
1073C2×#97—731no—
1074C2×#41—21no—
1075C2×#41—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41—731no—
1079C2×#41—1461no—
1080C22×Q8—731no—
1081C22×D4—731no—
1082C22×D4—1461no—
1083C22×D4C22×D7311yescharacteristic
1084C23×C4—21no—
1085C23×C4—1461no—
1086AGL(1,ℤ/8)—1464no—
1087#135—1464no—
1088C2×Q16—731no—
1089C2×Q16—731no—
1090C2×SD16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—731no—
1097C2×SD16—731no—
1098C2×SD16—1464no—
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8C22×D7311yescharacteristic
1102C2×D8C22×D7311yescharacteristic
1103C2×D8C22×D7311yescharacteristic
1104C2×D8C22×D7311yescharacteristic
1105C2×M16—731no—
1106C2×M16—731no—
1107C22×C8—731no—
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8—731no—
1111C4⋊Q8—731no—
1112C4⋊Q8—1461no—
1113C4⋊Q8C22×D7311yescharacteristic
1114#127—731no—
1115#127—1461no—
1116#127C22×D7311yescharacteristic
1117#126—1461no—
1118#126—1461no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#126—1461no—
1127#125—731no—
1128#125—731no—
1129#125—731no—
1130#125—731no—
1131#125—1461no—
1132#125—1461no—
1133#125—1461no—
1134#124—21no—
1135#124—731no—
1136#124—731no—
1137#124—731no—
1138#124—731no—
1139#124—1461no—
1140#124—1461no—
1141#124—1461no—
1142#124—1461no—
1143#124—1461no—
1144#124—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158#123—1461no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170#121—21no—
1171#121—731no—
1172#121—731no—
1173#121—731no—
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—1461no—
1178#121—1461no—
1179#121—1461no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121—1461no—
1189#121C22×D7311yescharacteristic
1190#121C22×D7311yescharacteristic
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—731no—
1203C4×Q8—731no—
1204C4×Q8—731no—
1205C4×Q8—1461no—
1206C4×Q8—1461no—
1207C4×Q8—1461no—
1208C4×Q8—1461no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4C22×D7311yescharacteristic
1248C4×D4C22×D7311yescharacteristic
1249C4×D4C22×D7311yescharacteristic
1250C4×D4C22×D7311yescharacteristic
1251C4×D4C22×D7311yescharacteristic
1252C4×D4C22×D7311yescharacteristic
1253#117—731no—
1254#117—731no—
1255#117—731no—
1256#117—731no—
1257#117—731no—
1258#117—731no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117—1461no—
1264#117—1461no—
1265#117—1461no—
1266C2×C4⋊C4—731no—
1267C2×C4⋊C4—731no—
1268C2×C4⋊C4—1461no—
1269C2×C4⋊C4—1461no—
1270C2×C4⋊C4C22×D7311yescharacteristic
1271C2×C22⋊C4—21no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C42—731no—
1276C2×C42—731no—
1277C2×C42—1461no—
1278C2×C42—1461no—
1279C2×C42—1461no—
1280C2×C42—1461no—
1281C2×C42C22×D7311yescharacteristic
1282#107—731no—
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107—731no—
1289#107—731no—
1290#106—731no—
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106C22×D7311yescharacteristic
1295#106C22×D7311yescharacteristic
1296#106C22×D7311yescharacteristic
1297#106C22×D7311yescharacteristic
1298C4⋊C8—731no—
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8C22×D7311yescharacteristic
1303C4⋊C8C22×D7311yescharacteristic
1304#103—731no—
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103—731no—
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102C22×D7311yescharacteristic
1329#102C22×D7311yescharacteristic
1330#102C22×D7311yescharacteristic
1331#102C22×D7311yescharacteristic
1332#102C22×D7311yescharacteristic
1333#102C22×D7311yescharacteristic
1334#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336C22⋊C8—731no—
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8C22×D7311yescharacteristic
1341C22⋊C8C22×D7311yescharacteristic
1342#97—731no—
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97—731no—
1348#97C22×D7311yescharacteristic
1349#97C22×D7311yescharacteristic
1350C4×C8—731no—
1351C4×C8—731no—
1352C24—21no—
1353C24—1461no—
1354#41—44no—
1355#41—2922no—
1356#41—2921no—
1357#41—2921no—
1358#41—2921no—
1359#41—5842no—
1360#41—1462no—
1361#41—1462no—
1362#41—1462no—
1363C2×Q8—21no—
1364C2×Q8—2921no—
1365C2×Q8—731no—
1366C2×Q8—731no—
1367C2×Q8—731no—
1368C2×Q8—731no—
1369C2×Q8—1462no—
1370C2×Q8—1461no—
1371C2×Q8—1461no—
1372C2×D4—22no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—41no—
1379C2×D4—2924no—
1380C2×D4—2921no—
1381C2×D4—731no—
1382C2×D4—731no—
1383C2×D4—731no—
1384C2×D4—731no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1462no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4C23×D7311yescharacteristic
1399C2×D4C23×D7311yescharacteristic
1400C2×D4C23×D7311yescharacteristic
1401C2×D4C23×D7311yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—82no—
1410C22×C4—5842no—
1411C22×C4—731no—
1412C22×C4—731no—
1413C22×C4—731no—
1414C22×C4—731no—
1415C22×C4—731no—
1416C22×C4—731no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4D4×D7311yescharacteristic
1430C22×C4D4×D7311yescharacteristic
1431C22×C4C23×D7311yescharacteristic
1432Q16—2921no—
1433Q16—1462no—
1434SD16—2921no—
1435SD16—2921no—
1436SD16—734no—
1437SD16—1462no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441SD16—1462no—
1442D8—22no—
1443D8—22no—
1444D8—41no—
1445D8—41no—
1446D8—2921no—
1447D8—1462no—
1448M16—2921no—
1449M16—1462no—
1450C2×C8—2921no—
1451C2×C8—2921no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—731no—
1456C2×C8—1462no—
1457C2×C8—1462no—
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C2×C8C23×D7311yescharacteristic
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—731no—
1465C4⋊C4—731no—
1466C4⋊C4—731no—
1467C4⋊C4—731no—
1468C4⋊C4—731no—
1469C4⋊C4—731no—
1470C4⋊C4—731no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—731no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4C23×D7311yescharacteristic
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—731no—
1510C22⋊C4—731no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
1513C22⋊C4—731no—
1514C22⋊C4—731no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C42—731no—
1543C42—731no—
1544C42—731no—
1545C42—731no—
1546C42—731no—
1547C42—731no—
1548C42—1461no—
1549C42—1461no—
1550C42—1461no—
1551C42—1461no—
1552C42—1461no—
1553C42—1461no—
1554C42—1461no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42D4×D7311yescharacteristic
1560C42D4×D7311yescharacteristic
1561C42C23×D7311yescharacteristic
1562C42C23×D7311yescharacteristic
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—42no—
1568C23—42no—
1569C23—81no—
1570C23—2922no—
1571C23—2922no—
1572C23—5841no—
1573C23—731no—
1574C23—731no—
1575C23—1461no—
1576C23C2×D4×D7311yescharacteristic
1577Q8—42no—
1578Q8—2922no—
1579Q8—2921no—
1580Q8—5841no—
1581Q8—732no—
1582Q8—1461no—
1583Q8—1461no—
1584Q8—1461no—
1585Q8—1461no—
1586Q8—1461no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—42no—
1595D4—42no—
1596D4—42no—
1597D4—42no—
1598D4—81no—
1599D4—2921no—
1600D4—2922no—
1601D4—2922no—
1602D4—2922no—
1603D4—2922no—
1604D4—2922no—
1605D4—2922no—
1606D4—2922no—
1607D4—5841no—
1608D4—5841no—
1609D4—5841no—
1610D4—5841no—
1611D4—5841no—
1612D4—1462no—
1613D4—1462no—
1614D4—1461no—
1615D4—1461no—
1616D4#41×D7312yes—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—41no—
1625C2×C4—42no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—2922no—
1633C2×C4—2921no—
1634C2×C4—2921no—
1635C2×C4—2921no—
1636C2×C4—2921no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—2922no—
1641C2×C4—2922no—
1642C2×C4—5841no—
1643C2×C4—5841no—
1644C2×C4—5841no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—731no—
1649C2×C4—731no—
1650C2×C4—731no—
1651C2×C4—731no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—1461no—
1655C2×C4—1461no—
1656C2×C4—1461no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1461no—
1665C2×C4C2×D4×D7311yescharacteristic
1666C2×C4C2×D4×D7311yescharacteristic
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C24×D7311yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—732no—
1676C8—1461no—
1677C8—1461no—
1678C8—1461no—
1679C22—21no—
1680C22—21no—
1681C22—22no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—84no—
1694C22—2921no—
1695C22—2921no—
1696C22—2921no—
1697C22—5844no—
1698C22—1461no—
1699C22—1461no—
1700C22—1461no—
1701C22—1461no—
1702C22—1461no—
1703C22—1461no—
1704C22#1798938312yes—
1705C22C22×D4×D7311yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—2921no—
1716C4—2921no—
1717C4—2921no—
1718C4—2921no—
1719C4—2921no—
1720C4—2921no—
1721C4—1461no—
1722C4—1461no—
1723C4—1461no—
1724C4—1462no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4C2×#41×D7311yescharacteristic
1729C4#1798942311yescharacteristic
1730C2—22no—
1731C2—42no—
1732C2—81no—
1733C2—81no—
1734C2—81no—
1735C2—2921no—
1736C2—2921no—
1737C2—5841no—
1738C2#2262341411yescharacteristic
1739C2C2×#1798938311yescharacteristic
1740C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3109C2
socleC22×C73C23×D4
hypercenter#3109D73
hypocenterC73#61456
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3109

Complements

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

NH ≅ G/Ntype
1. #22623535C2semidirect
2. #22623528C2semidirect
3. #22623014C2semidirect
4. #22622869C2semidirect
5. #22622706C2semidirect
6. #22622677C2semidirect
7. #22622483C2semidirect
8. #22622414C2semidirect
9. #22622331C2semidirect
10. #22622076C2semidirect
11. #22622040C2semidirect
12. #22621964C2semidirect
13. #22621944C2semidirect
14. #22621831C2semidirect
15. #22621785C2semidirect
16. #22621642C2semidirect
17. #22621477C2semidirect
18. #22621430C2semidirect
19. #22620658C2semidirect
20. #22620627C2semidirect
21. #22620623C2semidirect
22. #22620104C2semidirect
23. #22620078C2semidirect
24. #22620067C2semidirect
25. #22620036C2semidirect
26. #22620036C2semidirect
27. #22618940C2semidirect
28. #22618742C2semidirect
29. #22618728C2semidirect
30. C2×#17988687C2semidirect
31. C73×#3109C2semidirect
35. #17989323C22semidirect
38. #17989312C22semidirect
39. #17989311C22semidirect
44. #17989289C22semidirect
52. #17989257C22semidirect
54. #17989243C22semidirect
63. #17989119C22semidirect
64. #17989119C22semidirect
73. C4×#11924027C22semidirect
74. C4×#11924027C22semidirect
75. C2×C4×Dic146C22semidirect
78. #17988994C22semidirect
79. #17988993C22semidirect
80. #17988987C22semidirect
82. #17988974C22semidirect
83. #17988970C22semidirect
84. #17988951C22semidirect
86. #17988949C22semidirect
87. #17988945C22semidirect
88. #17988940C22semidirect
89. #17988940C22semidirect
90. #17988931C22semidirect
91. #17988931C22semidirect
92. #17988923C22semidirect
93. #17988919C22semidirect
94. #17988913C22semidirect
96. #17988910C22semidirect
97. #17988909C22semidirect
99. #17988899C22semidirect
100. #17988897C22semidirect
101. #17988897C22semidirect
102. #17988895C22semidirect
103. #17988895C22semidirect
105. #17988889C22semidirect
106. #17988886C22semidirect
108. #17988871C22semidirect
109. #17988865C22semidirect
110. #17988846C22semidirect
113. #17988832C22semidirect
114. #17988822C22semidirect
117. #17988820C22semidirect
118. #17988817C22semidirect
119. #17988815C22semidirect
120. #17988814C22semidirect
121. #17988814C22semidirect
122. #17988810C22semidirect
123. #17988810C22semidirect
124. #17988808C22semidirect
125. #17988808C22semidirect
126. #17988801C22semidirect
129. #17988800C22semidirect
133. #17988750C22semidirect
134. #17988745C22semidirect
136. #17988733C22semidirect
139. #17988729C22semidirect
142. #17988716C22semidirect
143. #17988716C22semidirect
145. #17988697C22semidirect
146. #17988697C22semidirect
147. #17988695C22semidirect
148. #17988695C22semidirect
149. #17988693C22semidirect
150. #17988689C22semidirect
151. #17988689C22semidirect
156. #17988687C22semidirect
157. #17988687C22semidirect
158. #17988687C22semidirect
159. #17988687C22semidirect
160. #17988687C22semidirect
161. #17988687C22semidirect
163. #17988684C22semidirect
165. #17988674C22semidirect
167. #17988667C22semidirect
168. #17988657C22semidirect
169. #17988657C22semidirect
172. #17988650C22semidirect
173. #17988650C22semidirect
174. #17988642C22semidirect
175. #17988642C22semidirect
176. #17988626C22semidirect
177. #17988622C22semidirect
178. C2×#14556524C22semidirect
180. #17988585C22semidirect
182. #17988580C22semidirect
183. C2×#14556514C22semidirect
185. #17988539C22semidirect
186. C2×#14556502C22semidirect
187. #97×D73C22semidirect
188. #532×C73C22semidirect
190. #481×C73C22semidirect
191. #481×C73C22semidirect
193. #476×C73C22semidirect
195. #459×C73C22semidirect
200. #442×C73C22semidirect
201. #442×C73C22semidirect
202. #432×C73C22semidirect
545. #11924016#41semidirect
897. #3109D73semidirect
902. C73#61456semidirect
932. #532C2×D73semidirect
972. #481C2×D73semidirect
973. #481C2×D73semidirect
984. #476C2×D73semidirect
1010. #459C2×D73semidirect
1030. #442C2×D73semidirect
1031. #442C2×D73semidirect
1061. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235352
#226235282
#226230142
#226228692
#226227062
#226226772
#226224832
#226224142
#226223312
#226220762
#226220402
#226219642
#226219442
#226218312
#226217852
#226216422
#226214772
#226214302
#226206582
#226206272
#226206232
#226201042
#226200782
#226200672
#226200362
#226189402
#226187422
#226187282
C2×#179886872
C73×#31092
#6145673