Finite Group Databasebeta

← #33968854

Subgroups — #33968854

Order 18688.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623933C211yesmaximal, characteristic, complemented
2#22623890C211yesmaximal, characteristic, complemented
3#22622970C211yesmaximal, characteristic, complemented
4#22622849C211yesmaximal, characteristic, complemented
5#22622624C211yesmaximal, characteristic, complemented
6#22622563C211yesmaximal, characteristic, complemented
7#22622510C211yesmaximal, characteristic, complemented
8#22622430C211yesmaximal, characteristic, complemented
9#22622426C211yesmaximal, characteristic, complemented
10#22621880C211yesmaximal, characteristic, complemented
11#22621876C211yesmaximal, characteristic, complemented
12#22621865C211yesmaximal, characteristic, complemented
13#22621787C211yesmaximal, characteristic, complemented
14#22621780C211yesmaximal, characteristic, complemented
15#22621739C211yesmaximal, characteristic, complemented
16#22621548C211yesmaximal, characteristic, complemented
17#22621478C211yesmaximal, characteristic, complemented
18#22621470C211yesmaximal, characteristic, complemented
19#22620610C211yesmaximal, characteristic, complemented
20#22620507C211yesmaximal, characteristic, complemented
21#22620197C211yesmaximal, characteristic, complemented
22#22620187C211yesmaximal, characteristic, complemented
23#22620173C211yesmaximal, characteristic, complemented
24#22620169C211yesmaximal, characteristic, complemented
25#22620080C211yesmaximal, characteristic, complemented
26#22620078C211yesmaximal, characteristic, complemented
27#22618902C211yesmaximal, characteristic, complemented
28#22618765C211yesmaximal, characteristic, complemented
29#22618756C211yesmaximal, characteristic, complemented
30C4×#14556612C211yesmaximal, characteristic, complemented
31C73×#3179C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556615C2211yescharacteristic
34C2×#14556612C2211yescharacteristic
35#17989319C2211yescharacteristic
36#17989314C2211yescharacteristic, complemented
37#17989308C2211yescharacteristic
38#17989303C2211yescharacteristic
39#17989301C2211yescharacteristic
40#17989290C2211yescharacteristic, complemented
41#17989289C2211yescharacteristic, complemented
42#17989282—21no—
43#17989280—21no—
44#17989265—21no—
45#17989264—21no—
46#17989257C2211yescharacteristic, complemented
47#17989257C2211yescharacteristic, complemented
48#17989255—21no—
49#17989255C2211yescharacteristic
50#17989255C2211yescharacteristic, complemented
51#17989252C2211yescharacteristic
52#17989247—21no—
53#17989237C2211yescharacteristic
54#17989235—21no—
55#17989230C2211yescharacteristic
56#17989229—21no—
57#17989228C2211yescharacteristic
58#17989221C2211yescharacteristic
59#17989209C2211yescharacteristic
60#17989189—21no—
61#17989188C2211yescharacteristic, complemented
62#17989187—21no—
63#17989176—21no—
64#17989171—21no—
65#17989134C2211yescharacteristic
66#17989134C2211yescharacteristic, complemented
67#17989132—21no—
68#17989120—21no—
69#17989115C2211yescharacteristic
70#17989114—21no—
71#124×D73—21no—
72#17989067C2211yescharacteristic, complemented
73#17989066C2211yescharacteristic, complemented
74#17989061C2211yescharacteristic
75#17989059C2211yescharacteristic
76C4×#11924029C2211yescharacteristic
77C4×#11924027C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988991C2211yescharacteristic, complemented
80#17988973C2211yescharacteristic, complemented
81#17988962C2211yescharacteristic
82#17988943C2211yescharacteristic, complemented
83#17988932C2211yescharacteristic
84#17988932C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic, complemented
86#17988921C2211yescharacteristic, complemented
87#17988920C2211yescharacteristic, complemented
88#17988914C2211yescharacteristic, complemented
89#17988913C2211yescharacteristic, complemented
90#17988913C2211yescharacteristic, complemented
91#17988910C2211yescharacteristic, complemented
92#17988910C2211yescharacteristic, complemented
93#17988909C2211yescharacteristic, complemented
94#17988908C2211yescharacteristic, complemented
95#17988908C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic
97#17988898C2211yescharacteristic
98#17988889C2211yescharacteristic, complemented
99#17988886C2211yescharacteristic
100#17988884C2211yescharacteristic
101#17988884C2211yescharacteristic, complemented
102#17988881C2211yescharacteristic, complemented
103#17988879C2211yescharacteristic, complemented
104#17988871C2211yescharacteristic, complemented
105#17988870C2211yescharacteristic, complemented
106#17988866C2211yescharacteristic
107#17988865C2211yescharacteristic, complemented
108#17988865C2211yescharacteristic, complemented
109#17988864C2211yescharacteristic, complemented
110#17988841C2211yescharacteristic
111#17988830C2211yescharacteristic, complemented
112#17988824C2211yescharacteristic, complemented
113#17988822C2211yescharacteristic
114#17988822C2211yescharacteristic, complemented
115#17988822C2211yescharacteristic, complemented
116#17988820C2211yescharacteristic, complemented
117#17988819C2211yescharacteristic, complemented
118#17988812C2211yescharacteristic, complemented
119#17988806C2211yescharacteristic, complemented
120#17988804C2211yescharacteristic, complemented
121#17988799C2211yescharacteristic, complemented
122#17988786C2211yescharacteristic
123#17988785C2211yescharacteristic, complemented
124#17988781C2211yescharacteristic
125#17988781C2211yescharacteristic
126#17988780C2211yescharacteristic
127#17988780C2211yescharacteristic, complemented
128#17988779C2211yescharacteristic
129#17988779C2211yescharacteristic, complemented
130#17988747C2211yescharacteristic, complemented
131#17988746C2211yescharacteristic, complemented
132#17988735C2211yescharacteristic
133#17988733C2211yescharacteristic
134#17988733C2211yescharacteristic, complemented
135#17988731C2211yescharacteristic
136#17988730C2211yescharacteristic
137#17988729C2211yescharacteristic, complemented
138#17988722C2211yescharacteristic
139#17988720C2211yescharacteristic
140#17988720C2211yescharacteristic
141#17988719C2211yescharacteristic
142#17988715C2211yescharacteristic, complemented
143C8×Dic146C2211yescharacteristic, complemented
144#17988700C2211yescharacteristic
145#17988700C2211yescharacteristic, complemented
146#17988699C2211yescharacteristic, complemented
147#17988697C2211yescharacteristic
148#17988697C2211yescharacteristic, complemented
149#17988689C2211yescharacteristic
150#17988689C2211yescharacteristic, complemented
151#17988687C2211yescharacteristic, complemented
152#17988686C2211yescharacteristic
153#17988685C2211yescharacteristic, complemented
154C4×#11924018C2211yescharacteristic, complemented
155#17988679C2211yescharacteristic, complemented
156#17988678C2211yescharacteristic, complemented
157C4×#11924017C2211yescharacteristic
158C4×#11924017C2211yescharacteristic, complemented
159SD16×Dic73C2211yescharacteristic, complemented
160#17988674C2211yescharacteristic
161C4×D584C2211yescharacteristic
162C4×D584C2211yescharacteristic, complemented
163C4×#11924013C2211yescharacteristic
164C4×#11924013C2211yescharacteristic, complemented
165C4×#11924013C2211yescharacteristic, complemented
166#17988667C2211yescharacteristic
167#17988667C2211yescharacteristic
168#17988663C2211yescharacteristic
169#17988660C2211yescharacteristic, complemented
170#17988656C2211yescharacteristic, complemented
171C8×D292C2211yescharacteristic, complemented
172C8×C22⋊D73C2211yescharacteristic
173C8×C22⋊D73C2211yescharacteristic, complemented
174#17988649C2211yescharacteristic, complemented
175#17988648C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988629C2211yescharacteristic, complemented
178#17988628C2211yescharacteristic, complemented
179#17988622C2211yescharacteristic, complemented
180#17988584C2211yescharacteristic, complemented
181#17988582C2211yescharacteristic
182#17988580C2211yescharacteristic, complemented
183#17988580C2211yescharacteristic, complemented
184C2×#14556513C2211yescharacteristic
185#102×D73C2211yescharacteristic
186#17988541C2211yescharacteristic, complemented
187C4×C8×D73C2211yescharacteristic, complemented
188#542×C73C2211yescharacteristic
189#540×C73C2211yescharacteristic, complemented
190#501×C73C2211yescharacteristic, complemented
191#496×C73C2211yescharacteristic, complemented
192#488×C73C2211yescharacteristic, complemented
193#486×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic
195#468×C73C2211yescharacteristic, complemented
196#466×C73C2211yescharacteristic
197#465×C73C2211yescharacteristic, complemented
198#442×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200C4×SD16×C73C2211yescharacteristic, complemented
201C4×D8×C73C2211yescharacteristic, complemented
202#405×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028C2311yescharacteristic
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027C2311yescharacteristic
210C2×#11924027C2311yescharacteristic
211C2×Q8×D73—21no—
212C22×D292C2311yescharacteristic
213C2×D4×D73—21no—
214C2×D4×D73C2311yescharacteristic
215#14556619—24no—
216#14556615—24no—
217#14556612—24no—
218C2×#11924018C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×D584C2311yescharacteristic
224C2×D584C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234#14556590—21no—
235#14556590C2311yescharacteristic
236#14556590C2311yescharacteristic
237#14556590C2311yescharacteristic
238#14556587—21no—
239#14556587—21no—
240#14556587—21no—
241#14556587C2311yescharacteristic
242#14556587C2311yescharacteristic
243#14556587C2311yescharacteristic
244#14556586—21no—
245#14556586—21no—
246#14556586D411yescharacteristic
247#14556585—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584D411yescharacteristic
251#14556582C2311yescharacteristic
252#14556581—21no—
253#14556581—21no—
254#14556581D411yescharacteristic
255#14556580—21no—
256#14556580—21no—
257#14556580C2311yescharacteristic
258#14556579—21no—
259#14556578—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577D411yescharacteristic
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576D411yescharacteristic
270#14556575—21no—
271#14556575—21no—
272#14556574—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573D411yescharacteristic
278#14556572—21no—
279#14556569—21no—
280#14556569—21no—
281#14556569—21no—
282#14556569D411yescharacteristic
283#14556568—21no—
284#14556567—21no—
285#14556567C2311yescharacteristic
286#14556566—21no—
287#14556566—21no—
288#14556566—21no—
289#14556566C2311yescharacteristic
290#14556566C2311yescharacteristic
291#14556566C2311yescharacteristic
292#14556566C2311yescharacteristic
293#14556565—21no—
294#14556564—21no—
295#14556564—21no—
296#14556564—21no—
297#14556564—21no—
298#14556564—21no—
299#14556564—21no—
300#14556564—21no—
301#14556564D411yescharacteristic
302#14556563—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556562—21no—
311#14556562C2311yescharacteristic
312#14556562C2311yescharacteristic
313#14556562C2311yescharacteristic
314#14556561—21no—
315#14556561—21no—
316#14556561—21no—
317#14556559—21no—
318Q8×Dic73C2311yescharacteristic
319C4×Dic146C2311yescharacteristic
320C4×Dic146C2311yescharacteristic
321C4×Dic146C2311yescharacteristic
322#14556556—21no—
323#14556556—21no—
324#14556556C2311yescharacteristic
325#14556556C2311yescharacteristic
326C4×D292—21no—
327C4×D292C2311yescharacteristic
328C4×D292C2311yescharacteristic
329C4×D292C2311yescharacteristic
330C4×D292C2311yescharacteristic
331C4×D292C2311yescharacteristic
332C4×D292C2311yescharacteristic
333C4×D292C2311yescharacteristic
334D4×Dic73—21no—
335D4×Dic73—21no—
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339#14556553—21no—
340#14556553—21no—
341#14556553—21no—
342#14556553—21no—
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73C2311yescharacteristic
351C4×C22⋊D73C2311yescharacteristic
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556550C2311yescharacteristic
361#14556549—21no—
362#14556549—21no—
363#14556549—21no—
364#14556549C2311yescharacteristic
365#14556549C2311yescharacteristic
366#14556549C2311yescharacteristic
367#14556548C2311yescharacteristic
368#14556547—21no—
369#14556547—21no—
370#14556547—21no—
371C2×C4⋊Dic73C2311yescharacteristic
372C2×#11924007—21no—
373C4⋊C4×D73—21no—
374C4⋊C4×D73C2311yescharacteristic
375C2×#11924005—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C2×C4×Dic73—21no—
382C42×D73—21no—
383C42×D73C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556501C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C2×SD16×C73C2311yescharacteristic
440C2×D8×C73C2311yescharacteristic
441C2×D8×C73C2311yescharacteristic
442C2×M16×C73C2311yescharacteristic
443C22×C8×C73C2311yescharacteristic
444C4⋊Q8×C73C2311yescharacteristic
445#127×C73C2311yescharacteristic
446#126×C73—21no—
447#125×C73C2311yescharacteristic
448#124×C73—21no—
449#124×C73C2311yescharacteristic
450#123×C73—21no—
451#123×C73—21no—
452#123×C73—21no—
453C22⋊Q8×C73—21no—
454C22⋊Q8×C73C2311yescharacteristic
455#121×C73—21no—
456#121×C73—21no—
457#121×C73C2311yescharacteristic
458#121×C73C2311yescharacteristic
459#121×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464#117×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479C4×C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924029—22no—
484#11924029—41no—
485#11924028—22no—
486#11924028—41no—
487#11924028—82no—
488#11924028—82no—
489#11924027—22no—
490#11924027—22no—
491#11924027—41no—
492#11924027—41no—
493#11924027—82no—
494#11924027—82no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146C2×D411yescharacteristic
499C2×Dic146C2411yescharacteristic
500Q8×D73—82no—
501C2×D292—22no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—41no—
509C2×D292C2×D411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×D292C2411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73C2×D411yescharacteristic
527C2×C22⋊D73C2×D411yescharacteristic
528D4×D73—22no—
529D4×D73—41no—
530D4×D73—82no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73—21no—
534C22×Dic73—21no—
535C22×Dic73—21no—
536C22×Dic73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73C2×D411yescharacteristic
549C2×C4×D73C2×D411yescharacteristic
550C2×C4×D73C2411yescharacteristic
551C2×C4×D73C2411yescharacteristic
552#11924018—22no—
553#11924017—22no—
554#11924017#4114yescomplemented
555#11924016—22no—
556#11924015—41no—
557D584—22no—
558D584—22no—
559#11924013—22no—
560#11924013—22no—
561#11924013—41no—
562#11924013—41no—
563#11924013—41no—
564#11924011—22no—
565C2×#10596831C2411yescharacteristic
566C2×#10596831C2411yescharacteristic
567C2×#10596831C2411yescharacteristic
568C2×#10596831C2411yescharacteristic
569C8×D73—22no—
570C8×D73—41no—
571C8×D73—41no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73C2×D411yescharacteristic
576C4⋊Dic73C2×D411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580C4⋊Dic73C2411yescharacteristic
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73C2×D411yescharacteristic
605C22⋊Dic73C2×D411yescharacteristic
606#11924005—21no—
607#11924005—21no—
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#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643C2×Q8×C73—21no—
644C2×Q8×C73C2411yescharacteristic
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73C2411yescharacteristic
651C2×D4×C73C2411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73C2411yescharacteristic
657SD16×C73—22no—
658SD16×C73—41no—
659D8×C73—22no—
660D8×C73—41no—
661M16×C73—22no—
662C2×C8×C73—41no—
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73C2×D411yescharacteristic
673C4⋊C4×C73C2×D411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
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×C73C2×D411yescharacteristic
688C22⋊C4×C73C2×D411yescharacteristic
689C42×C73—21no—
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73C22×D411yescharacteristic
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—81no—
702C22×D73—81no—
703C22×D73—81no—
704C22×D73—81no—
705C22×D73C22×D411yescharacteristic
706C22×D73C22×D411yescharacteristic
707Q8×C73—21no—
708Q8×C73—21no—
709Q8×C73—81no—
710D4×C73—21no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—81no—
717D4×C73—81no—
718D4×C73—81no—
719D4×C73—81no—
720D4×C73—81no—
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—21no—
728C2×C4×C73—81no—
729C2×C4×C73—81no—
730C2×C4×C73—81no—
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C2511yescharacteristic
737C22⋊D73—22no—
738C22⋊D73—41no—
739C22⋊D73—42no—
740C22⋊D73—42no—
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C22⋊D73—42no—
745C22⋊D73—81no—
746C22⋊D73—81no—
747C22⋊D73—81no—
748C22⋊D73—81no—
749C22⋊D73—81no—
750C22⋊D73—81no—
751C22⋊D73—81no—
752C2×Dic73—21no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—42no—
758C2×Dic73—42no—
759C2×Dic73—42no—
760C2×Dic73—81no—
761C2×Dic73—81no—
762C2×Dic73—81no—
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769D292—21no—
770D292—21no—
771D292—21no—
772D292—21no—
773D292—21no—
774D292—41no—
775D292—42no—
776D292—42no—
777D292—81no—
778D292—81no—
779D292—81no—
780D292—81no—
781D292C2×#4112yes—
782C4×D73—21no—
783C4×D73—21no—
784C4×D73—21no—
785C4×D73—21no—
786C4×D73—22no—
787C4×D73—41no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—42no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799Dic146—21no—
800Dic146—22no—
801Dic146—42no—
802Dic146—42no—
803Dic146—81no—
804Dic146C2×#4112yes—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73C2×#4112yes—
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831—21no—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—21no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73C23×D411yescharacteristic
826C2×D73—21no—
827C2×D73—21no—
828C2×D73—21no—
829C2×D73—21no—
830C2×D73—22no—
831C2×D73—21no—
832C2×D73—21no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—162no—
842C2×D73—162no—
843C4×C73—21no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73C22×#4111yescharacteristic
854C4×C73#58511yescharacteristic
855Dic73—21no—
856Dic73—21no—
857Dic73—22no—
858Dic73—21no—
859Dic73—21no—
860Dic73—21no—
861Dic73—41no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73#57612yes—
866#61494—731nomaximal, Sylow
867C2×C73—41no—
868C2×C73—81no—
869C2×C73—81no—
870C2×C73—81no—
871C2×C73D4×#4111yescharacteristic
872C2×C73C2×#57611yescharacteristic
873C2×C73#358411yescharacteristic
874D73—41no—
875D73—41no—
876D73—42no—
877D73—81no—
878D73—81no—
879#3517—731no—
880#3514—731no—
881#3399—731no—
882#3386—731no—
883#3365—731no—
884#3358—731no—
885#3353—731no—
886#3347—731no—
887#3347—731no—
888#3305—731no—
889#3305—731no—
890#3304—731no—
891#3297—731no—
892#3297—731no—
893#3294—731no—
894#3274—731no—
895#3268—731no—
896#3268—731no—
897#3179—731no—
898#3179D7311yescharacteristic, complemented
899#3169—731no—
900#3124—731no—
901#3124—731no—
902#3122—731no—
903#3122—731no—
904#3115—731no—
905#3115—731no—
906#2966—731no—
907#2946—731no—
908#2946—731no—
909C4×#135—731no—
910C73#6149411yescharacteristic, complemented, Sylow
911C2×AGL(1,ℤ/8)—731no—
912C2×AGL(1,ℤ/8)—731no—
913C2×#135—731no—
914#559—731no—
915#557—731no—
916#556—731no—
917#555—731no—
918#555—731no—
919#553—731no—
920#553—731no—
921#553—1461no—
922#553—1461no—
923#551—1461no—
924#551—1461no—
925#550—731no—
926#550—731no—
927#550—731no—
928#550—731no—
929#550—1461no—
930D4×Q8—731no—
931#548—1461no—
932#547—731no—
933#547—1461no—
934#546—731no—
935#546—731no—
936#546—1461no—
937D42—731no—
938#542—731no—
939#542C2×D7311yescharacteristic
940#540—731no—
941#540—1461no—
942#540—1461no—
943#540C2×D7311yescharacteristic, complemented
944#538—1461no—
945#538—1461no—
946#532—731no—
947#532—731no—
948#532—1461no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952C2×#124—1461no—
953#520—731no—
954#520—731no—
955#518—731no—
956#518—731no—
957C4×#41—731no—
958C4×#41—731no—
959#501—731no—
960#501C2×D7311yescharacteristic, complemented
961#500—731no—
962#496—731no—
963#496C2×D7311yescharacteristic, complemented
964#493—731no—
965#488—731no—
966#488C2×D7311yescharacteristic, complemented
967#486—731no—
968#486—731no—
969#486—731no—
970#486C2×D7311yescharacteristic, complemented
971#484—731no—
972#484—731no—
973#482—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482—731no—
981#480—731no—
982#480—731no—
983#478—731no—
984#478—731no—
985#478—731no—
986#478—731no—
987#477—731no—
988#477—731no—
989#475—731no—
990#475—731no—
991#474—731no—
992#474—731no—
993#474—731no—
994#474—731no—
995#469—731no—
996#469C2×D7311yescharacteristic
997#468—731no—
998#468C2×D7311yescharacteristic, complemented
999#466—731no—
1000#466—731no—
1001#466—731no—
1002#466—731no—
1003#466—731no—
1004#466C2×D7311yescharacteristic
1005#465—731no—
1006#465C2×D7311yescharacteristic, complemented
1007#464—731no—
1008#464—731no—
1009#463—731no—
1010#463—731no—
1011#460—731no—
1012#460—731no—
1013#459—731no—
1014#459—731no—
1015#459—731no—
1016#459—731no—
1017#459—731no—
1018#459—731no—
1019#452—731no—
1020#452—731no—
1021#449—731no—
1022#449—731no—
1023#449—731no—
1024#449—731no—
1025#449—731no—
1026#449—731no—
1027#447—731no—
1028#447—731no—
1029#447—731no—
1030#447—731no—
1031#446—731no—
1032C8×Q8—731no—
1033#442—731no—
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442C2×D7311yescharacteristic, complemented
1039#440—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440C2×D7311yescharacteristic, complemented
1045C4×Q16—731no—
1046C4×Q16—731no—
1047C4×SD16—731no—
1048C4×SD16—731no—
1049C4×SD16—731no—
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16C2×D7311yescharacteristic, complemented
1053C4×D8—731no—
1054C4×D8—731no—
1055C4×D8—731no—
1056C4×D8—731no—
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8C2×D7311yescharacteristic, complemented
1061#436—731no—
1062#435—731no—
1063#435—731no—
1064C8×D4—731no—
1065C8×D4—731no—
1066C8×D4—731no—
1067#433—731no—
1068#433—731no—
1069#432—731no—
1070#428—731no—
1071#428—731no—
1072#427—731no—
1073#416—731no—
1074#416—731no—
1075#416—731no—
1076#416—731no—
1077C2×#102—731no—
1078C2×#102—731no—
1079#405—731no—
1080#405C2×D7311yescharacteristic, complemented
1081C2×C4×C8—731no—
1082C2×#41—731no—
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—731no—
1086C2×#41—1461no—
1087C2×#41—1461no—
1088C2×#41—1461no—
1089C2×#41—1461no—
1090C22×Q8—1461no—
1091C22×D4—731no—
1092C22×D4—731no—
1093C22×D4—1461no—
1094AGL(1,ℤ/8)—1464no—
1095AGL(1,ℤ/8)—1464no—
1096#135—1464no—
1097C2×Q16—731no—
1098C2×SD16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16C22×D7311yescharacteristic
1103C2×SD16C22×D7311yescharacteristic
1104C2×D8—731no—
1105C2×D8—731no—
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8—731no—
1111C2×D8C22×D7311yescharacteristic
1112C2×D8C22×D7311yescharacteristic
1113C2×M16—731no—
1114C2×M16C22×D7311yescharacteristic
1115C22×C8—731no—
1116C22×C8—731no—
1117C22×C8—731no—
1118C22×C8C22×D7311yescharacteristic
1119C4⋊Q8—731no—
1120C4⋊Q8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8—1461no—
1123C4⋊Q8C22×D7311yescharacteristic
1124#127—731no—
1125#127—731no—
1126#127—731no—
1127#127—1461no—
1128#127—1461no—
1129#127—1461no—
1130#127C22×D7311yescharacteristic
1131#126—21no—
1132#126—731no—
1133#126—731no—
1134#126—1461no—
1135#126—1461no—
1136#126—1461no—
1137#126—1461no—
1138#126—1461no—
1139#125—731no—
1140#125—731no—
1141#125—1461no—
1142#125—1461no—
1143#125C22×D7311yescharacteristic
1144#124—21no—
1145#124—731no—
1146#124—731no—
1147#124—1461no—
1148#124—1461no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124—1461no—
1156#124C22×D7311yescharacteristic
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—731no—
1161#123—731no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172#123—1461no—
1173C22⋊Q8—21no—
1174C22⋊Q8—731no—
1175C22⋊Q8—731no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181C22⋊Q8C22×D7311yescharacteristic
1182#121—21no—
1183#121—21no—
1184#121—731no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—731no—
1191#121—731no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121—1461no—
1200#121—1461no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121C22×D7311yescharacteristic
1213#121C22×D7311yescharacteristic
1214#121C22×D7311yescharacteristic
1215#120—1461no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219C4×Q8—731no—
1220C4×Q8—731no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—1461no—
1226C4×Q8—1461no—
1227C4×Q8C22×D7311yescharacteristic
1228C4×D4—731no—
1229C4×D4—731no—
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4C22×D7311yescharacteristic
1263C4×D4C22×D7311yescharacteristic
1264C4×D4C22×D7311yescharacteristic
1265#117—731no—
1266#117—731no—
1267#117—731no—
1268#117—731no—
1269#117—731no—
1270#117—1461no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117C22×D7311yescharacteristic
1277C2×C4⋊C4—731no—
1278C2×C4⋊C4—731no—
1279C2×C4⋊C4—1461no—
1280C2×C4⋊C4—1461no—
1281C2×C22⋊C4—1461no—
1282C2×C22⋊C4—1461no—
1283C2×C22⋊C4—1461no—
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C42—731no—
1288C2×C42—1461no—
1289C2×C42—1461no—
1290#107—731no—
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107—731no—
1297#107—731no—
1298#107C22×D7311yescharacteristic
1299#107C22×D7311yescharacteristic
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106C22×D7311yescharacteristic
1305#106C22×D7311yescharacteristic
1306C4⋊C8—731no—
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312#103—731no—
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103C22×D7311yescharacteristic
1319#103C22×D7311yescharacteristic
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#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102C22×D7311yescharacteristic
1339#102C22×D7311yescharacteristic
1340#102C22×D7311yescharacteristic
1341#102C22×D7311yescharacteristic
1342#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344C22⋊C8—731no—
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8—731no—
1350#97—731no—
1351#97—731no—
1352#97C22×D7311yescharacteristic
1353#97C22×D7311yescharacteristic
1354C4×C8—731no—
1355C4×C8—731no—
1356C4×C8—731no—
1357C4×C8—731no—
1358C4×C8C22×D7311yescharacteristic
1359C4×C8C22×D7311yescharacteristic
1360C24—1461no—
1361C24—1461no—
1362#41—2921no—
1363#41—2921no—
1364#41—2921no—
1365#41—2921no—
1366#41—5842no—
1367#41—5842no—
1368#41—5842no—
1369#41—5842no—
1370#41—1462no—
1371#41—1462no—
1372#41—1462no—
1373#41—1462no—
1374C2×Q8—21no—
1375C2×Q8—5842no—
1376C2×Q8—731no—
1377C2×Q8—731no—
1378C2×Q8—1461no—
1379C2×Q8—1461no—
1380C2×Q8—1461no—
1381C2×Q8C23×D7311yescharacteristic
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—2921no—
1388C2×D4—2921no—
1389C2×D4—5842no—
1390C2×D4—731no—
1391C2×D4—731no—
1392C2×D4—731no—
1393C2×D4—731no—
1394C2×D4—731no—
1395C2×D4—731no—
1396C2×D4—1461no—
1397C2×D4—1462no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1462no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4C23×D7311yescharacteristic
1418C2×D4C23×D7311yescharacteristic
1419C2×D4C23×D7311yescharacteristic
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—731no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—731no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4C23×D7311yescharacteristic
1445Q16—1462no—
1446SD16—22no—
1447SD16—41no—
1448SD16—2921no—
1449SD16—734no—
1450SD16—1462no—
1451SD16—1462no—
1452D8—22no—
1453D8—41no—
1454D8—2921no—
1455D8—2921no—
1456D8—2921no—
1457D8—1462no—
1458D8—1462no—
1459D8—1462no—
1460D8—1462no—
1461M16—22no—
1462M16—1462no—
1463C2×C8—41no—
1464C2×C8—2921no—
1465C2×C8—2921no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8—731no—
1470C2×C8—1462no—
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C2×C8C23×D7311yescharacteristic
1474C2×C8C23×D7311yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—731no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4D4×D7311yescharacteristic
1506C4⋊C4D4×D7311yescharacteristic
1507C4⋊C4C23×D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C4⋊C4C23×D7311yescharacteristic
1510C4⋊C4C23×D7311yescharacteristic
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—731no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—731no—
1527C22⋊C4—731no—
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—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4D4×D7311yescharacteristic
1554C22⋊C4D4×D7311yescharacteristic
1555C42—21no—
1556C42—731no—
1557C42—731no—
1558C42—731no—
1559C42—731no—
1560C42—1461no—
1561C42—1461no—
1562C42—1461no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42C23×D7311yescharacteristic
1570C42C23×D7311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—2922no—
1575C23—2922no—
1576C23—5841no—
1577C23—5841no—
1578C23—5841no—
1579C23—5841no—
1580C23—731no—
1581C23—731no—
1582C23—1461no—
1583C23—1461no—
1584C23—1461no—
1585C23C2×D4×D7311yescharacteristic
1586Q8—21no—
1587Q8—21no—
1588Q8—81no—
1589Q8—2922no—
1590Q8—2922no—
1591Q8—5841no—
1592Q8—732no—
1593Q8—1462no—
1594Q8—1461no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—81no—
1602D4—81no—
1603D4—81no—
1604D4—81no—
1605D4—81no—
1606D4—2922no—
1607D4—2921no—
1608D4—2922no—
1609D4—2922no—
1610D4—2922no—
1611D4—2922no—
1612D4—2921no—
1613D4—2922no—
1614D4—2922no—
1615D4—2922no—
1616D4—5841no—
1617D4—5841no—
1618D4—5841no—
1619D4—5841no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—5841no—
1626D4—5841no—
1627D4—732no—
1628D4—1462no—
1629D4—1461no—
1630D4—1461no—
1631D4—1461no—
1632D4—1461no—
1633D4—1461no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—2922no—
1645C2×C4—2921no—
1646C2×C4—2922no—
1647C2×C4—2922no—
1648C2×C4—2922no—
1649C2×C4—2922no—
1650C2×C4—2922no—
1651C2×C4—5841no—
1652C2×C4—5841no—
1653C2×C4—5841no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—731no—
1663C2×C4—731no—
1664C2×C4—731no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—1462no—
1669C2×C4—1461no—
1670C2×C4—1461no—
1671C2×C4—1461no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4C2×D4×D7311yescharacteristic
1679C2×C4C2×D4×D7311yescharacteristic
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C24×D7311yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—1461no—
1688C8—1461no—
1689C8—1461no—
1690C8—1461no—
1691C8#41×D7312yes—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—2921no—
1705C22—2921no—
1706C22—2921no—
1707C22—2921no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—11682no—
1713C22—11682no—
1714C22—1461no—
1715C22—1461no—
1716C22—1462no—
1717C22—1461no—
1718C22—1461no—
1719C22—1461no—
1720C22—1461no—
1721C22C22×D4×D7311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—2921no—
1733C4—2921no—
1734C4—2921no—
1735C4—2921no—
1736C4—732no—
1737C4—1461no—
1738C4—1461no—
1739C4—1462no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4C2×#41×D7311yescharacteristic
1744C4#1798942311yescharacteristic
1745C2—41no—
1746C2—81no—
1747C2—81no—
1748C2—81no—
1749C2—2922no—
1750C2—2921no—
1751C2—2921no—
1752C2—5841no—
1753C2—5841no—
1754C2#2262341711yescharacteristic
1755C2#576×D7311yescharacteristic
1756C2#2262470311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3179C2
socleC22×C73C23×D4
hypercenter#3179D73
hypocenterC73#61494
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3179

Complements

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

NH ≅ G/Ntype
1. #22623933C2semidirect
2. #22623890C2semidirect
3. #22622970C2semidirect
4. #22622849C2semidirect
5. #22622624C2semidirect
6. #22622563C2semidirect
7. #22622510C2semidirect
8. #22622430C2semidirect
9. #22622426C2semidirect
10. #22621880C2semidirect
11. #22621876C2semidirect
12. #22621865C2semidirect
13. #22621787C2semidirect
14. #22621780C2semidirect
15. #22621739C2semidirect
16. #22621548C2semidirect
17. #22621478C2semidirect
18. #22621470C2semidirect
19. #22620610C2semidirect
20. #22620507C2semidirect
21. #22620197C2semidirect
22. #22620187C2semidirect
23. #22620173C2semidirect
24. #22620169C2semidirect
25. #22620080C2semidirect
26. #22620078C2semidirect
27. #22618902C2semidirect
28. #22618765C2semidirect
29. #22618756C2semidirect
30. C4×#14556612C2semidirect
31. C73×#3179C2semidirect
36. #17989314C22semidirect
40. #17989290C22semidirect
41. #17989289C22semidirect
46. #17989257C22semidirect
47. #17989257C22semidirect
50. #17989255C22semidirect
61. #17989188C22semidirect
66. #17989134C22semidirect
72. #17989067C22semidirect
73. #17989066C22semidirect
77. C4×#11924027C22semidirect
78. #17988994C22semidirect
79. #17988991C22semidirect
80. #17988973C22semidirect
82. #17988943C22semidirect
84. #17988932C22semidirect
85. #17988932C22semidirect
86. #17988921C22semidirect
87. #17988920C22semidirect
88. #17988914C22semidirect
89. #17988913C22semidirect
90. #17988913C22semidirect
91. #17988910C22semidirect
92. #17988910C22semidirect
93. #17988909C22semidirect
94. #17988908C22semidirect
95. #17988908C22semidirect
98. #17988889C22semidirect
101. #17988884C22semidirect
102. #17988881C22semidirect
103. #17988879C22semidirect
104. #17988871C22semidirect
105. #17988870C22semidirect
107. #17988865C22semidirect
108. #17988865C22semidirect
109. #17988864C22semidirect
111. #17988830C22semidirect
112. #17988824C22semidirect
114. #17988822C22semidirect
115. #17988822C22semidirect
116. #17988820C22semidirect
117. #17988819C22semidirect
118. #17988812C22semidirect
119. #17988806C22semidirect
120. #17988804C22semidirect
121. #17988799C22semidirect
123. #17988785C22semidirect
127. #17988780C22semidirect
129. #17988779C22semidirect
130. #17988747C22semidirect
131. #17988746C22semidirect
134. #17988733C22semidirect
137. #17988729C22semidirect
142. #17988715C22semidirect
143. C8×Dic146C22semidirect
145. #17988700C22semidirect
146. #17988699C22semidirect
148. #17988697C22semidirect
150. #17988689C22semidirect
151. #17988687C22semidirect
153. #17988685C22semidirect
154. C4×#11924018C22semidirect
155. #17988679C22semidirect
156. #17988678C22semidirect
158. C4×#11924017C22semidirect
159. SD16×Dic73C22semidirect
162. C4×D584C22semidirect
164. C4×#11924013C22semidirect
165. C4×#11924013C22semidirect
169. #17988660C22semidirect
170. #17988656C22semidirect
171. C8×D292C22semidirect
173. C8×C22⋊D73C22semidirect
174. #17988649C22semidirect
175. #17988648C22semidirect
176. #17988642C22semidirect
177. #17988629C22semidirect
178. #17988628C22semidirect
179. #17988622C22semidirect
180. #17988584C22semidirect
182. #17988580C22semidirect
183. #17988580C22semidirect
186. #17988541C22semidirect
187. C4×C8×D73C22semidirect
189. #540×C73C22semidirect
190. #501×C73C22semidirect
191. #496×C73C22semidirect
192. #488×C73C22semidirect
193. #486×C73C22semidirect
195. #468×C73C22semidirect
197. #465×C73C22semidirect
198. #442×C73C22semidirect
199. #440×C73C22semidirect
200. C4×SD16×C73C22semidirect
201. C4×D8×C73C22semidirect
202. #405×C73C22semidirect
554. #11924017#41semidirect
898. #3179D73semidirect
910. C73#61494semidirect
943. #540C2×D73semidirect
960. #501C2×D73semidirect
963. #496C2×D73semidirect
966. #488C2×D73semidirect
970. #486C2×D73semidirect
998. #468C2×D73semidirect
1006. #465C2×D73semidirect
1038. #442C2×D73semidirect
1044. #440C2×D73semidirect
1052. C4×SD16C2×D73semidirect
1060. C4×D8C2×D73semidirect
1080. #405C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239332
#226238902
#226229702
#226228492
#226226242
#226225632
#226225102
#226224302
#226224262
#226218802
#226218762
#226218652
#226217872
#226217802
#226217392
#226215482
#226214782
#226214702
#226206102
#226205072
#226201972
#226201872
#226201732
#226201692
#226200802
#226200782
#226189022
#226187652
#226187562
C4×#145566122
C73×#31792
#6149473